{"id":1,"expression_no_base_symbol":"((⨆≐≲$1857$)≠≀(∐⩳⋚$1417$))∀⇚≩($1142$∇⊂⋱$1747$∀⋜↑)∲⫓(≤/($8053$⇮⋭$3717$)⩧⪆$3161$∌↝$3546$)","expression":"((⨆≐≲⇑⪆24412)≠≀(∐⩳⋚⇑⪆21132))∀⇚≩(⇑⪆14032∇⊂⋱⇑⪆23442∀⋜↑)∲⫓(≤/(⇑⪆224203⇮⋭⇑⪆104332)⩧⪆⇑⪆100121∌↝⇑⪆103141)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":388,"operation_count":11,"complexity_ratio":35.27272727272727,"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":1857,"base":5}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1417,"base":5}}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1142,"base":5},"right_expr":{"type":"numeric_atoms","value":1747,"base":5}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":8053,"base":5},"right_expr":{"type":"numeric_atoms","value":3717,"base":5}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":3161,"base":5},"right_expr":{"type":"numeric_atoms","value":3546,"base":5}}}}},"used_operators":["i8ToyICDmI","LRNGc0VcxI","IwW236VD4Y","Bi9z9uYZqW","SL6IHkK8vl","KipPnG1M2J","nhYeJWJD5X","eLAdDNolq6","Ikt5ks8PT7","vkpjKywKVM","9Isq31Ruls"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","eewbuw0ToL","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1857","layer":4},{"info":"compute unary expreesion, input=1857, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=19989528","layer":3},{"info":"number node, value=1417","layer":4},{"info":"compute unary expreesion, input=1417, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=195584","layer":3},{"info":"compute binary expreesion, left_input=19989528, right_input=195584, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-39978750","layer":2},{"info":"number node, value=1142","layer":4},{"info":"number node, value=1747","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=1747, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1738","layer":3},{"info":"compute unary expreesion, input=1738, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":2},{"info":"compute binary expreesion, left_input=-39978750, right_input=-484, 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=8053","layer":4},{"info":"number node, value=3717","layer":4},{"info":"compute binary expreesion, left_input=8053, right_input=3717, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=3161","layer":4},{"info":"number node, value=3546","layer":4},{"info":"compute binary expreesion, left_input=3161, right_input=3546, 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=-473, right_input=0, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=484, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⨆≐≲⇑⪆24412)≠≀(∐⩳⋚⇑⪆21132))∀⇚≩(⇑⪆14032∇⊂⋱⇑⪆23442∀⋜↑)∲⫓(≤/(⇑⪆224203⇮⋭⇑⪆104332)⩧⪆⇑⪆100121∌↝⇑⪆103141)=NaN","reverse_text":"NaN=((⨆≐≲⇑⪆24412)≠≀(∐⩳⋚⇑⪆21132))∀⇚≩(⇑⪆14032∇⊂⋱⇑⪆23442∀⋜↑)∲⫓(≤/(⇑⪆224203⇮⋭⇑⪆104332)⩧⪆⇑⪆100121∌↝⇑⪆103141)","cot":[{"info":"⨆≐≲⇑⪆24412=⇑⪆20104131103","layer":3},{"info":"∐⩳⋚⇑⪆21132=⇑⪆22224314","layer":3},{"info":"⇑⪆20104131103≠≀⇑⪆22224314=⇑⪆-40213310000","layer":2},{"info":"⇑⪆14032∇⊂⋱⇑⪆23442=⇑⪆23423","layer":3},{"info":"⇑⪆23423∀⋜↑=⇑⪆-3414","layer":2},{"info":"⇑⪆-40213310000∀⇚≩⇑⪆-3414=NaN","layer":1},{"info":"⇑⪆224203⇮⋭⇑⪆104332=⇑⪆-3343","layer":3},{"info":"⇑⪆100121∌↝⇑⪆103141=⇑⪆0","layer":3},{"info":"⇑⪆-3343⩧⪆⇑⪆0=⇑⪆0","layer":2},{"info":"≤/⇑⪆0=⇑⪆3414","layer":1},{"info":"NaN∲⫓⇑⪆3414=NaN","layer":0}]}
{"id":2,"expression_no_base_symbol":"∟⋨(($2998$⨑≵⋬$1374$)⋅⇍$1664$⪡$1631$∲⫓(⫵↿$1115$)*$1683$↼⊘⨖$2058$)","expression":"∟⋨((⇑⪆43443⨑≵⋬⇑⪆20444)⋅⇍⇑⪆23124⪡⇑⪆23011∲⫓(⫵↿⇑⪆13430)*⇑⪆23213↼⊘⨖⇑⪆31213)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":209,"operation_count":8,"complexity_ratio":26.125,"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":2998,"base":5},"right_expr":{"type":"numeric_atoms","value":1374,"base":5}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1664,"base":5},"right_expr":{"type":"numeric_atoms","value":1631,"base":5}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":1115,"base":5}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1683,"base":5},"right_expr":{"type":"numeric_atoms","value":2058,"base":5}}}}},"used_operators":["ctOc4cKSDt","i8ToyICDmI","AdZkA7nFnk","XnXgA4xnOs","oraRL2iQuh","9HNa5Wba9A","ivGwdmUAux","bPywburJMS"],"dependent_operators":["eLAdDNolq6","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"⇑⪆3414","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2998","layer":4},{"info":"number node, value=1374","layer":4},{"info":"compute binary expreesion, left_input=2998, right_input=1374, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=6751","layer":3},{"info":"number node, value=1664","layer":4},{"info":"number node, value=1631","layer":4},{"info":"compute binary expreesion, left_input=1664, right_input=1631, 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=6751, right_input=107, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=1115","layer":4},{"info":"compute unary expreesion, input=1115, 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=1683","layer":4},{"info":"number node, value=2058","layer":4},{"info":"compute binary expreesion, left_input=1683, right_input=2058, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3894","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=3894, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=533478","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=533478, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=484","layer":0}],"base":5,"result_base":5,"text":"∟⋨((⇑⪆43443⨑≵⋬⇑⪆20444)⋅⇍⇑⪆23124⪡⇑⪆23011∲⫓(⫵↿⇑⪆13430)*⇑⪆23213↼⊘⨖⇑⪆31213)=⇑⪆3414","reverse_text":"⇑⪆3414=∟⋨((⇑⪆43443⨑≵⋬⇑⪆20444)⋅⇍⇑⪆23124⪡⇑⪆23011∲⫓(⫵↿⇑⪆13430)*⇑⪆23213↼⊘⨖⇑⪆31213)","cot":[{"info":"⇑⪆43443⨑≵⋬⇑⪆20444=⇑⪆204001","layer":3},{"info":"⇑⪆23124⪡⇑⪆23011=⇑⪆412","layer":3},{"info":"⇑⪆204001⋅⇍⇑⪆412=⇑⪆-42","layer":2},{"info":"⫵↿⇑⪆13430=⇑⪆1022","layer":3},{"info":"⇑⪆23213↼⊘⨖⇑⪆31213=⇑⪆111034","layer":3},{"info":"⇑⪆1022*⇑⪆111034=⇑⪆114032403","layer":2},{"info":"⇑⪆-42∲⫓⇑⪆114032403=⇑⪆0","layer":1},{"info":"∟⋨⇑⪆0=⇑⪆3414","layer":0}]}
{"id":3,"expression_no_base_symbol":"($1434$⪢$1179$⩵∡$1129$⪭≯$1203$⫦⪉($1609$≨$5816$⩘))⫽⇹≛","expression":"(⇑⪆21214⪢⇑⪆14204⩵∡⇑⪆14004⪭≯⇑⪆14303⫦⪉(⇑⪆22414≨⇑⪆141231⩘))⫽⇹≛","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2018,"operation_count":7,"complexity_ratio":288.2857142857143,"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":1434,"base":5},"right_expr":{"type":"numeric_atoms","value":1179,"base":5}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1129,"base":5},"right_expr":{"type":"numeric_atoms","value":1203,"base":5}}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1609,"base":5},"right_expr":{"type":"numeric_atoms","value":5816,"base":5}}}}},"used_operators":["NNaDxxp6OQ","wscyQdcy20","Y7wcNGrDQJ","dWAJyo7jo9","XAx5wpdLa6","wvHyciQT5X","0KMCeP1Jsh"],"dependent_operators":["KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","NTOWxs364D","glklzrTFfD","tifHPKVTfV","k8jYdgA6NY","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9ICcGScMcE","dfKe02y8D2","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1434","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=1434, right_input=1179, 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=1129","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=1203, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"number node, value=1609","layer":4},{"info":"number node, value=5816","layer":4},{"info":"compute binary expreesion, left_input=1609, right_input=5816, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-13614","layer":3},{"info":"compute unary expreesion, input=-13614, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, 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 unary expreesion, input=nan, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆21214⪢⇑⪆14204⩵∡⇑⪆14004⪭≯⇑⪆14303⫦⪉(⇑⪆22414≨⇑⪆141231⩘))⫽⇹≛=NaN","reverse_text":"NaN=(⇑⪆21214⪢⇑⪆14204⩵∡⇑⪆14004⪭≯⇑⪆14303⫦⪉(⇑⪆22414≨⇑⪆141231⩘))⫽⇹≛","cot":[{"info":"⇑⪆21214⪢⇑⪆14204=NaN","layer":3},{"info":"⇑⪆14004⪭≯⇑⪆14303=NaN","layer":3},{"info":"NaN⩵∡NaN=NaN","layer":2},{"info":"⇑⪆22414≨⇑⪆141231=⇑⪆-413424","layer":3},{"info":"⇑⪆-413424⩘=⇑⪆232","layer":2},{"info":"NaN⫦⪉⇑⪆232=NaN","layer":1},{"info":"NaN⫽⇹≛=NaN","layer":0}]}
{"id":4,"expression_no_base_symbol":"⨭⩧⫛(($1488$⩍⋽⫝̸$4120$⇼⇔∾$2394$≭$4502$)⇗⋫)","expression":"⨭⩧⫛((⇑⪆21423⩍⋽⫝̸⇑⪆112440⇼⇔∾⇑⪆34034≭⇑⪆121002)⇗⋫)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":13,"operation_count":5,"complexity_ratio":2.6,"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":1488,"base":5},"right_expr":{"type":"numeric_atoms","value":4120,"base":5}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2394,"base":5},"right_expr":{"type":"numeric_atoms","value":4502,"base":5}}}}},"used_operators":["g21JL6JxX7","hpqmaQFPrd","tifHPKVTfV","BiWNJpBvwn","rxpJgHHUmx"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","rxpJgHHUmx","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=1488","layer":4},{"info":"number node, value=4120","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=4120, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3174","layer":3},{"info":"number node, value=2394","layer":4},{"info":"number node, value=4502","layer":4},{"info":"compute binary expreesion, left_input=2394, right_input=4502, 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=3174, 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 = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⨭⩧⫛((⇑⪆21423⩍⋽⫝̸⇑⪆112440⇼⇔∾⇑⪆34034≭⇑⪆121002)⇗⋫)=NaN","reverse_text":"NaN=⨭⩧⫛((⇑⪆21423⩍⋽⫝̸⇑⪆112440⇼⇔∾⇑⪆34034≭⇑⪆121002)⇗⋫)","cot":[{"info":"⇑⪆21423⩍⋽⫝̸⇑⪆112440=⇑⪆100144","layer":3},{"info":"⇑⪆34034≭⇑⪆121002=NaN","layer":3},{"info":"⇑⪆100144⇼⇔∾NaN=NaN","layer":2},{"info":"NaN⇗⋫=NaN","layer":1},{"info":"⨭⩧⫛NaN=NaN","layer":0}]}
{"id":5,"expression_no_base_symbol":"↯⪼((⨣⨃⇪$2449$)≃($1348$⪨⊡$1231$)↙(⨆≐≲$4886$)↳≱$2234$⊕∕$5941$)","expression":"↯⪼((⨣⨃⇪⇑⪆34244)≃(⇑⪆20343⪨⊡⇑⪆14411)↙(⨆≐≲⇑⪆124021)↳≱⇑⪆32414⊕∕⇑⪆142231)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":280,"operation_count":8,"complexity_ratio":35.0,"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":2449,"base":5}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1348,"base":5},"right_expr":{"type":"numeric_atoms","value":1231,"base":5}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":4886,"base":5}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2234,"base":5},"right_expr":{"type":"numeric_atoms","value":5941,"base":5}}}}},"used_operators":["8jW3W4yZS5","yyfyN0ffXY","YbVcJGFEVW","AcOhelriW5","kuIXHzHcAH","JwTKLfZU96","Bi9z9uYZqW","9cloC0Ngie"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"⇑⪆-41","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2449","layer":4},{"info":"compute unary expreesion, input=2449, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=1348","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=1231, 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=1405, right_input=0, 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=-80","layer":2},{"info":"number node, value=4886","layer":4},{"info":"compute unary expreesion, input=4886, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=53138904","layer":3},{"info":"number node, value=2234","layer":4},{"info":"number node, value=5941","layer":4},{"info":"compute binary expreesion, left_input=2234, right_input=5941, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2234","layer":3},{"info":"compute binary expreesion, left_input=53138904, right_input=2234, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-80, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-80","layer":1},{"info":"compute unary expreesion, input=-80, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":5,"result_base":5,"text":"↯⪼((⨣⨃⇪⇑⪆34244)≃(⇑⪆20343⪨⊡⇑⪆14411)↙(⨆≐≲⇑⪆124021)↳≱⇑⪆32414⊕∕⇑⪆142231)=⇑⪆-41","reverse_text":"⇑⪆-41=↯⪼((⨣⨃⇪⇑⪆34244)≃(⇑⪆20343⪨⊡⇑⪆14411)↙(⨆≐≲⇑⪆124021)↳≱⇑⪆32414⊕∕⇑⪆142231)","cot":[{"info":"⨣⨃⇪⇑⪆34244=⇑⪆21110","layer":3},{"info":"⇑⪆20343⪨⊡⇑⪆14411=⇑⪆0","layer":3},{"info":"⇑⪆21110≃⇑⪆0=⇑⪆-310","layer":2},{"info":"⨆≐≲⇑⪆124021=⇑⪆102100421104","layer":3},{"info":"⇑⪆32414⊕∕⇑⪆142231=⇑⪆32414","layer":3},{"info":"⇑⪆102100421104↳≱⇑⪆32414=⇑⪆0","layer":2},{"info":"⇑⪆-310↙⇑⪆0=⇑⪆-310","layer":1},{"info":"↯⪼⇑⪆-310=⇑⪆-41","layer":0}]}
{"id":6,"expression_no_base_symbol":"⪓⩚((⇤←$2021$∣$2930$)⫳≱↱($2102$≠≀$1261$)⊕∕(⇐$2260$))","expression":"⪓⩚((⇤←⇑⪆31041∣⇑⪆43210)⫳≱↱(⇑⪆31402≠≀⇑⪆20021)⊕∕(⇐⇑⪆33020))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3526,"operation_count":7,"complexity_ratio":503.7142857142857,"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":2021,"base":5},"right_expr":{"type":"numeric_atoms","value":2930,"base":5}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2102,"base":5},"right_expr":{"type":"numeric_atoms","value":1261,"base":5}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":2260,"base":5}}}}},"used_operators":["u0R0Locfp2","ZvLB05nZmT","jfAgQ2OQeM","PPChnnnBFF","9cloC0Ngie","IwW236VD4Y","nmZMaaE0Q9"],"dependent_operators":["6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG"],"result":"⇑⪆3201","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2021","layer":4},{"info":"number node, value=2930","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=2930, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2021","layer":3},{"info":"compute unary expreesion, input=2021, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-8739","layer":2},{"info":"number node, value=2102","layer":4},{"info":"number node, value=1261","layer":4},{"info":"compute binary expreesion, left_input=2102, right_input=1261, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3898","layer":3},{"info":"number node, value=2260","layer":4},{"info":"compute unary expreesion, input=2260, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=786","layer":3},{"info":"compute binary expreesion, left_input=-3898, right_input=786, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-3898","layer":2},{"info":"compute binary expreesion, left_input=-8739, right_input=-3898, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":1},{"info":"compute unary expreesion, input=-2802, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":0}],"base":5,"result_base":5,"text":"⪓⩚((⇤←⇑⪆31041∣⇑⪆43210)⫳≱↱(⇑⪆31402≠≀⇑⪆20021)⊕∕(⇐⇑⪆33020))=⇑⪆3201","reverse_text":"⇑⪆3201=⪓⩚((⇤←⇑⪆31041∣⇑⪆43210)⫳≱↱(⇑⪆31402≠≀⇑⪆20021)⊕∕(⇐⇑⪆33020))","cot":[{"info":"⇑⪆31041∣⇑⪆43210=⇑⪆31041","layer":3},{"info":"⇤←⇑⪆31041=⇑⪆-234424","layer":2},{"info":"⇑⪆31402≠≀⇑⪆20021=⇑⪆-111043","layer":3},{"info":"⇐⇑⪆33020=⇑⪆11121","layer":3},{"info":"⇑⪆-111043⊕∕⇑⪆11121=⇑⪆-111043","layer":2},{"info":"⇑⪆-234424⫳≱↱⇑⪆-111043=⇑⪆-42202","layer":1},{"info":"⪓⩚⇑⪆-42202=⇑⪆3201","layer":0}]}
{"id":7,"expression_no_base_symbol":"((-$3729$)⊭↱$2286$⨻⩈⩔$3325$)∝($1136$⇴∐$2161$)⊝⪿⪼(⪁⇼$1128$)∟","expression":"((-⇑⪆104404)⊭↱⇑⪆33121⨻⩈⩔⇑⪆101300)∝(⇑⪆14021⇴∐⇑⪆32121)⊝⪿⪼(⪁⇼⇑⪆14003)∟","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":226,"operation_count":8,"complexity_ratio":28.25,"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":3729,"base":5}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2286,"base":5},"right_expr":{"type":"numeric_atoms","value":3325,"base":5}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1136,"base":5},"right_expr":{"type":"numeric_atoms","value":2161,"base":5}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1128,"base":5}}}}},"used_operators":["hTbEZDJLEm","cTDWOvIxvz","COABgblf1C","t8gj7n24qd","nEsXyWgiOK","3Oe9XWJUTD","HnzytWxmAO","ZNVVrZ94lY"],"dependent_operators":["KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3729","layer":4},{"info":"compute unary expreesion, input=3729, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3729","layer":3},{"info":"number node, value=2286","layer":4},{"info":"number node, value=3325","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=3325, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=9887","layer":3},{"info":"compute binary expreesion, left_input=-3729, right_input=9887, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=27237","layer":2},{"info":"number node, value=1136","layer":4},{"info":"number node, value=2161","layer":4},{"info":"compute binary expreesion, left_input=1136, right_input=2161, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1128","layer":4},{"info":"compute unary expreesion, input=1128, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=422, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=27237, 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 = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((-⇑⪆104404)⊭↱⇑⪆33121⨻⩈⩔⇑⪆101300)∝(⇑⪆14021⇴∐⇑⪆32121)⊝⪿⪼(⪁⇼⇑⪆14003)∟=NaN","reverse_text":"NaN=((-⇑⪆104404)⊭↱⇑⪆33121⨻⩈⩔⇑⪆101300)∝(⇑⪆14021⇴∐⇑⪆32121)⊝⪿⪼(⪁⇼⇑⪆14003)∟","cot":[{"info":"-⇑⪆104404=⇑⪆-104404","layer":3},{"info":"⇑⪆33121⨻⩈⩔⇑⪆101300=⇑⪆304022","layer":3},{"info":"⇑⪆-104404⊭↱⇑⪆304022=⇑⪆1332422","layer":2},{"info":"⇑⪆14021⇴∐⇑⪆32121=NaN","layer":3},{"info":"⪁⇼⇑⪆14003=⇑⪆3142","layer":3},{"info":"NaN⊝⪿⪼⇑⪆3142=NaN","layer":2},{"info":"⇑⪆1332422∝NaN=NaN","layer":1},{"info":"NaN∟=NaN","layer":0}]}
{"id":8,"expression_no_base_symbol":"((($7985$⫩⊇)⊍⩺⋍(⨭⩧⫛$3147$))⨒(↩$4869$⋕⪉⪜$1723$))⨎(($3432$⨁⊸⫻)⊉≛↸($6954$∐⫣))⊴($3517$≑≱⪘)⨽∌($1487$↺$3164$)","expression":"(((⇑⪆223420⫩⊇)⊍⩺⋍(⨭⩧⫛⇑⪆100042))⨒(↩⇑⪆123434⋕⪉⪜⇑⪆23343))⨎((⇑⪆102212⨁⊸⫻)⊉≛↸(⇑⪆210304∐⫣))⊴(⇑⪆103032≑≱⪘)⨽∌(⇑⪆21422↺⇑⪆100124)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":519,"operation_count":14,"complexity_ratio":37.07142857142857,"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":7985,"base":5}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":3147,"base":5}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":4869,"base":5},"right_expr":{"type":"numeric_atoms","value":1723,"base":5}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3432,"base":5}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":6954,"base":5}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":3517,"base":5}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1487,"base":5},"right_expr":{"type":"numeric_atoms","value":3164,"base":5}}}}},"used_operators":["rJVOvQCfKK","y75s1iXyHd","OXDGMFPWZM","BjRHVeLaeN","g21JL6JxX7","jLgFTUHLKL","z6LnFrNh4i","Nsiff2A1zJ","DZ8iAZOCBD","glklzrTFfD","4CyGpkTkEk","9samAPKr6k","tGSeddj7UK","7j4O788W3g"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rysDP5nf3Z","t8gj7n24qd","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","rysDP5nf3Z","t8gj7n24qd"],"result":"⇑⪆-304","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7985","layer":4},{"info":"compute unary expreesion, input=7985, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-7943","layer":3},{"info":"number node, value=3147","layer":4},{"info":"compute unary expreesion, input=3147, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7943, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=4869","layer":4},{"info":"number node, value=1723","layer":4},{"info":"compute binary expreesion, left_input=4869, right_input=1723, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-19636","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-19636, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"number node, value=3432","layer":4},{"info":"compute unary expreesion, input=3432, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3432","layer":3},{"info":"number node, value=6954","layer":4},{"info":"compute unary expreesion, input=6954, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute binary expreesion, left_input=3432, right_input=551, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6864","layer":2},{"info":"number node, value=3517","layer":4},{"info":"compute unary expreesion, input=3517, 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=87807","layer":3},{"info":"number node, value=1487","layer":4},{"info":"number node, value=3164","layer":4},{"info":"compute binary expreesion, left_input=1487, right_input=3164, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3164","layer":3},{"info":"compute binary expreesion, left_input=87807, right_input=3164, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=6864, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-79, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-79","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆223420⫩⊇)⊍⩺⋍(⨭⩧⫛⇑⪆100042))⨒(↩⇑⪆123434⋕⪉⪜⇑⪆23343))⨎((⇑⪆102212⨁⊸⫻)⊉≛↸(⇑⪆210304∐⫣))⊴(⇑⪆103032≑≱⪘)⨽∌(⇑⪆21422↺⇑⪆100124)=⇑⪆-304","reverse_text":"⇑⪆-304=(((⇑⪆223420⫩⊇)⊍⩺⋍(⨭⩧⫛⇑⪆100042))⨒(↩⇑⪆123434⋕⪉⪜⇑⪆23343))⨎((⇑⪆102212⨁⊸⫻)⊉≛↸(⇑⪆210304∐⫣))⊴(⇑⪆103032≑≱⪘)⨽∌(⇑⪆21422↺⇑⪆100124)","cot":[{"info":"⇑⪆223420⫩⊇=⇑⪆-223233","layer":3},{"info":"⨭⩧⫛⇑⪆100042=NaN","layer":3},{"info":"⇑⪆-223233⊍⩺⋍NaN=NaN","layer":2},{"info":"⇑⪆123434⋕⪉⪜⇑⪆23343=⇑⪆42202","layer":3},{"info":"↩⇑⪆42202=⇑⪆-1112021","layer":2},{"info":"NaN⨒⇑⪆-1112021=NaN","layer":1},{"info":"⇑⪆102212⨁⊸⫻=⇑⪆102212","layer":3},{"info":"⇑⪆210304∐⫣=⇑⪆4201","layer":3},{"info":"⇑⪆102212⊉≛↸⇑⪆4201=⇑⪆204424","layer":2},{"info":"⇑⪆103032≑≱⪘=⇑⪆10302212","layer":3},{"info":"⇑⪆21422↺⇑⪆100124=⇑⪆100124","layer":3},{"info":"⇑⪆10302212⨽∌⇑⪆100124=⇑⪆0","layer":2},{"info":"⇑⪆204424⊴⇑⪆0=⇑⪆-304","layer":1},{"info":"NaN⨎⇑⪆-304=⇑⪆-304","layer":0}]}
{"id":9,"expression_no_base_symbol":"($2234$⫢⨠$5167$-$3998$⪃⊛⇣$4881$)⨸⪁($2318$≬⋮$6496$↸(⨂⪏⇭$1270$))∲⫓(⇜$6156$⫯⪬∳$3459$)≭((⨙⪌$5615$)∷)","expression":"(⇑⪆32414⫢⨠⇑⪆131132-⇑⪆111443⪃⊛⇣⇑⪆124011)⨸⪁(⇑⪆33233≬⋮⇑⪆201441↸(⨂⪏⇭⇑⪆20040))∲⫓(⇜⇑⪆144111⫯⪬∳⇑⪆102314)≭((⨙⪌⇑⪆134430)∷)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2790,"operation_count":13,"complexity_ratio":214.6153846153846,"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":2234,"base":5},"right_expr":{"type":"numeric_atoms","value":5167,"base":5}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3998,"base":5},"right_expr":{"type":"numeric_atoms","value":4881,"base":5}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2318,"base":5},"right_expr":{"type":"numeric_atoms","value":6496,"base":5}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1270,"base":5}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":6156,"base":5},"right_expr":{"type":"numeric_atoms","value":3459,"base":5}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":5615,"base":5}}}}},"used_operators":["i8ToyICDmI","g55IO6H4Gj","rysDP5nf3Z","xlXykHWxX1","rrgAzCduG9","1eCjFl0mb9","kbkesczE7y","AYdpE9sXAk","rxpJgHHUmx","lFBm8KRb8F","d7ASUq0ydm","nFAOW8KTqp","vEGLkm4Z2k"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","AHs5Up7iyr","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2234","layer":4},{"info":"number node, value=5167","layer":4},{"info":"compute binary expreesion, left_input=2234, right_input=5167, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=3998","layer":4},{"info":"number node, value=4881","layer":4},{"info":"compute binary expreesion, left_input=3998, right_input=4881, 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=160, right_input=1234, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1074","layer":2},{"info":"number node, value=2318","layer":4},{"info":"number node, value=6496","layer":4},{"info":"compute binary expreesion, left_input=2318, right_input=6496, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1270","layer":4},{"info":"compute unary expreesion, input=1270, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=2831","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=2831, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-1074, right_input=868, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-412","layer":1},{"info":"number node, value=6156","layer":4},{"info":"number node, value=3459","layer":4},{"info":"compute binary expreesion, left_input=6156, right_input=3459, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=27354","layer":3},{"info":"compute unary expreesion, input=27354, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-219240","layer":2},{"info":"number node, value=5615","layer":4},{"info":"compute unary expreesion, input=5615, 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 = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=2604","layer":2},{"info":"compute binary expreesion, left_input=-219240, right_input=2604, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-412, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆32414⫢⨠⇑⪆131132-⇑⪆111443⪃⊛⇣⇑⪆124011)⨸⪁(⇑⪆33233≬⋮⇑⪆201441↸(⨂⪏⇭⇑⪆20040))∲⫓(⇜⇑⪆144111⫯⪬∳⇑⪆102314)≭((⨙⪌⇑⪆134430)∷)=NaN","reverse_text":"NaN=(⇑⪆32414⫢⨠⇑⪆131132-⇑⪆111443⪃⊛⇣⇑⪆124011)⨸⪁(⇑⪆33233≬⋮⇑⪆201441↸(⨂⪏⇭⇑⪆20040))∲⫓(⇜⇑⪆144111⫯⪬∳⇑⪆102314)≭((⨙⪌⇑⪆134430)∷)","cot":[{"info":"⇑⪆32414⫢⨠⇑⪆131132=⇑⪆1120","layer":3},{"info":"⇑⪆111443⪃⊛⇣⇑⪆124011=⇑⪆14414","layer":3},{"info":"⇑⪆1120-⇑⪆14414=⇑⪆-13244","layer":2},{"info":"⇑⪆33233≬⋮⇑⪆201441=⇑⪆11433","layer":3},{"info":"⨂⪏⇭⇑⪆20040=⇑⪆42311","layer":3},{"info":"⇑⪆11433↸⇑⪆42311=⇑⪆11433","layer":2},{"info":"⇑⪆-13244⨸⪁⇑⪆11433=⇑⪆-3122","layer":1},{"info":"⇑⪆144111⫯⪬∳⇑⪆102314=⇑⪆1333404","layer":3},{"info":"⇜⇑⪆1333404=⇑⪆-24003430","layer":2},{"info":"⨙⪌⇑⪆134430=⇑⪆11433","layer":3},{"info":"⇑⪆11433∷=⇑⪆40404","layer":2},{"info":"⇑⪆-24003430≭⇑⪆40404=NaN","layer":1},{"info":"⇑⪆-3122∲⫓NaN=NaN","layer":0}]}
{"id":10,"expression_no_base_symbol":"⇵⪽(($1562$⨑≵⋬$6866$)≀⩗∶($1944$⪠⩆⊳)⇼⇔∾(∓⪦($3468$⨎$1423$)))","expression":"⇵⪽((⇑⪆22222⨑≵⋬⇑⪆204431)≀⩗∶(⇑⪆30234⪠⩆⊳)⇼⇔∾(∓⪦(⇑⪆102333⨎⇑⪆21143)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":67,"operation_count":7,"complexity_ratio":9.571428571428571,"tree":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1562,"base":5},"right_expr":{"type":"numeric_atoms","value":6866,"base":5}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1944,"base":5}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3468,"base":5},"right_expr":{"type":"numeric_atoms","value":1423,"base":5}}}}},"used_operators":["ZGCBLdVRRX","tifHPKVTfV","8INZBEW696","XnXgA4xnOs","JLbD19bQDL","D309nIvmXG","rJVOvQCfKK"],"dependent_operators":["U7g4x0WXJJ","rysDP5nf3Z","t8gj7n24qd","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1562","layer":4},{"info":"number node, value=6866","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=6866, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-38873","layer":3},{"info":"number node, value=1944","layer":4},{"info":"compute unary expreesion, input=1944, 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=-38873, right_input=0, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"number node, value=3468","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=3468, right_input=1423, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1423","layer":3},{"info":"compute unary expreesion, input=1423, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=1015","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1015, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1015","layer":1},{"info":"compute unary expreesion, input=1015, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⇵⪽((⇑⪆22222⨑≵⋬⇑⪆204431)≀⩗∶(⇑⪆30234⪠⩆⊳)⇼⇔∾(∓⪦(⇑⪆102333⨎⇑⪆21143)))=NaN","reverse_text":"NaN=⇵⪽((⇑⪆22222⨑≵⋬⇑⪆204431)≀⩗∶(⇑⪆30234⪠⩆⊳)⇼⇔∾(∓⪦(⇑⪆102333⨎⇑⪆21143)))","cot":[{"info":"⇑⪆22222⨑≵⋬⇑⪆204431=⇑⪆-2220443","layer":3},{"info":"⇑⪆30234⪠⩆⊳=⇑⪆0","layer":3},{"info":"⇑⪆-2220443≀⩗∶⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆102333⨎⇑⪆21143=⇑⪆21143","layer":3},{"info":"∓⪦⇑⪆21143=⇑⪆13030","layer":2},{"info":"⇑⪆0⇼⇔∾⇑⪆13030=⇑⪆13030","layer":1},{"info":"⇵⪽⇑⪆13030=NaN","layer":0}]}
{"id":11,"expression_no_base_symbol":"($2936$⇂≾⫗$3960$⊋(⨈⫕$3913$))⩖⊿(∷≠($1390$∀⇚≩$1721$))∀⊥⇻","expression":"(⇑⪆43221⇂≾⫗⇑⪆111320⊋(⨈⫕⇑⪆111123))⩖⊿(∷≠(⇑⪆21030∀⇚≩⇑⪆23341))∀⊥⇻","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10283,"operation_count":7,"complexity_ratio":1469.0,"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":2936,"base":5},"right_expr":{"type":"numeric_atoms","value":3960,"base":5}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3913,"base":5}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1390,"base":5},"right_expr":{"type":"numeric_atoms","value":1721,"base":5}}}}},"used_operators":["k4iM1060OG","RZ5CV9rWsJ","W4tP9CfskL","aBQ6xLxuTc","megm06wKyl","QiR2Oyf5Xj","LRNGc0VcxI"],"dependent_operators":["QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","7j4O788W3g","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2936","layer":4},{"info":"number node, value=3960","layer":4},{"info":"compute binary expreesion, left_input=2936, right_input=3960, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=3913","layer":4},{"info":"compute unary expreesion, input=3913, 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=-676, right_input=-21, 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=-5874","layer":2},{"info":"number node, value=1390","layer":4},{"info":"number node, value=1721","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=1721, 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 = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5874, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆43221⇂≾⫗⇑⪆111320⊋(⨈⫕⇑⪆111123))⩖⊿(∷≠(⇑⪆21030∀⇚≩⇑⪆23341))∀⊥⇻=NaN","reverse_text":"NaN=(⇑⪆43221⇂≾⫗⇑⪆111320⊋(⨈⫕⇑⪆111123))⩖⊿(∷≠(⇑⪆21030∀⇚≩⇑⪆23341))∀⊥⇻","cot":[{"info":"⇑⪆43221⇂≾⫗⇑⪆111320=⇑⪆-10201","layer":3},{"info":"⨈⫕⇑⪆111123=⇑⪆-41","layer":3},{"info":"⇑⪆-10201⊋⇑⪆-41=⇑⪆-141444","layer":2},{"info":"⇑⪆21030∀⇚≩⇑⪆23341=NaN","layer":3},{"info":"∷≠NaN=NaN","layer":2},{"info":"⇑⪆-141444⩖⊿NaN=NaN","layer":1},{"info":"NaN∀⊥⇻=NaN","layer":0}]}
{"id":12,"expression_no_base_symbol":"(⫇($1192$⪛$1278$)⪒⊣⊆(⇘$1342$))≬⋮$1917$⇂≾⫗$1096$∳⫺(∓⪦$1280$)≀⫉((⨈⫕$2297$)≒∊(∓$3067$))","expression":"(⫇(⇑⪆14232⪛⇑⪆20103)⪒⊣⊆(⇘⇑⪆20332))≬⋮⇑⪆30132⇂≾⫗⇑⪆13341∳⫺(∓⪦⇑⪆20110)≀⫉((⨈⫕⇑⪆33142)≒∊(∓⇑⪆44232))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3444,"operation_count":12,"complexity_ratio":287.0,"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":1192,"base":5},"right_expr":{"type":"numeric_atoms","value":1278,"base":5}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1342,"base":5}}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1917,"base":5},"right_expr":{"type":"numeric_atoms","value":1096,"base":5}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1280,"base":5}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2297,"base":5}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":3067,"base":5}}}}},"used_operators":["kbkesczE7y","YjI8oCXuph","eRqsBgTDFp","uFcxV4UQCh","MGuIdZPyUC","oZj3VtZNQx","AzXXKTstlj","aBQ6xLxuTc","D309nIvmXG","5KTvxBwnZo","megm06wKyl","OwUj7dcsQK"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","sdazOOVcIp","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q"],"result":"⇑⪆11433","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1192","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=1278, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1192","layer":3},{"info":"number node, value=1342","layer":4},{"info":"compute unary expreesion, input=1342, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=74902","layer":3},{"info":"compute binary expreesion, left_input=1192, right_input=74902, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2384","layer":2},{"info":"compute unary expreesion, input=2384, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-3554","layer":1},{"info":"number node, value=1917","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=1917, right_input=1096, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1280","layer":4},{"info":"compute unary expreesion, input=1280, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=872","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=872, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-4386","layer":2},{"info":"number node, value=2297","layer":4},{"info":"compute unary expreesion, input=2297, 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=3067","layer":4},{"info":"compute unary expreesion, input=3067, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-50877","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-50877, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=505","layer":2},{"info":"compute binary expreesion, left_input=-4386, right_input=505, 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=-3554, right_input=2822, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":5,"result_base":5,"text":"(⫇(⇑⪆14232⪛⇑⪆20103)⪒⊣⊆(⇘⇑⪆20332))≬⋮⇑⪆30132⇂≾⫗⇑⪆13341∳⫺(∓⪦⇑⪆20110)≀⫉((⨈⫕⇑⪆33142)≒∊(∓⇑⪆44232))=⇑⪆11433","reverse_text":"⇑⪆11433=(⫇(⇑⪆14232⪛⇑⪆20103)⪒⊣⊆(⇘⇑⪆20332))≬⋮⇑⪆30132⇂≾⫗⇑⪆13341∳⫺(∓⪦⇑⪆20110)≀⫉((⨈⫕⇑⪆33142)≒∊(∓⇑⪆44232))","cot":[{"info":"⇑⪆14232⪛⇑⪆20103=⇑⪆14232","layer":3},{"info":"⇘⇑⪆20332=⇑⪆4344102","layer":3},{"info":"⇑⪆14232⪒⊣⊆⇑⪆4344102=⇑⪆34014","layer":2},{"info":"⫇⇑⪆34014=⇑⪆-103204","layer":1},{"info":"⇑⪆30132⇂≾⫗⇑⪆13341=⇑⪆-10201","layer":3},{"info":"∓⪦⇑⪆20110=⇑⪆11442","layer":3},{"info":"⇑⪆-10201∳⫺⇑⪆11442=⇑⪆-120021","layer":2},{"info":"⨈⫕⇑⪆33142=⇑⪆-41","layer":3},{"info":"∓⇑⪆44232=⇑⪆-3112002","layer":3},{"info":"⇑⪆-41≒∊⇑⪆-3112002=⇑⪆4010","layer":2},{"info":"⇑⪆-120021≀⫉⇑⪆4010=⇑⪆42242","layer":1},{"info":"⇑⪆-103204≬⋮⇑⪆42242=⇑⪆11433","layer":0}]}
{"id":13,"expression_no_base_symbol":"(($1021$⪡$1007$⊓⋫)⊟⇱)+⇶⊼(($2228$∵≐)⇌⫙⪟$6629$⋣⋖$1533$)⇻⋧≁($5573$⊢$1887$⊹∫⫚$2632$⊝⪿⪼$1139$)","expression":"((⇑⪆13041⪡⇑⪆13012⊓⋫)⊟⇱)+⇶⊼((⇑⪆32403∵≐)⇌⫙⪟⇑⪆203004⋣⋖⇑⪆22113)⇻⋧≁(⇑⪆134243⊢⇑⪆30022⊹∫⫚⇑⪆41012⊝⪿⪼⇑⪆14024)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":690,"operation_count":11,"complexity_ratio":62.72727272727273,"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":1021,"base":5},"right_expr":{"type":"numeric_atoms","value":1007,"base":5}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":2228,"base":5}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":6629,"base":5},"right_expr":{"type":"numeric_atoms","value":1533,"base":5}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":5573,"base":5},"right_expr":{"type":"numeric_atoms","value":1887,"base":5}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2632,"base":5},"right_expr":{"type":"numeric_atoms","value":1139,"base":5}}}}},"used_operators":["TpPTUOHfaN","03sUfWo75k","IqGBaFP0uj","oraRL2iQuh","jCPkEVoL5K","AFVx7xoS7T","59igzFyhWz","J0M6qkBnIM","uWAJUKEvyW","5twsqlHp2o","3Oe9XWJUTD"],"dependent_operators":["AHs5Up7iyr","IWmyXbctLI","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1021","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=1007, 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 = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-235","layer":2},{"info":"compute unary expreesion, input=-235, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=-154","layer":1},{"info":"number node, value=2228","layer":4},{"info":"compute unary expreesion, input=2228, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=1282","layer":3},{"info":"number node, value=6629","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=6629, right_input=1533, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=6629","layer":3},{"info":"compute binary expreesion, left_input=1282, right_input=6629, 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=5573","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=5573, right_input=1887, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-11390","layer":3},{"info":"number node, value=2632","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=2632, right_input=1139, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=41782","layer":3},{"info":"compute binary expreesion, left_input=-11390, right_input=41782, 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":2},{"info":"compute binary expreesion, left_input=113, right_input=-380, 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=-154, right_input=-447, 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":5,"result_base":5,"text":"((⇑⪆13041⪡⇑⪆13012⊓⋫)⊟⇱)+⇶⊼((⇑⪆32403∵≐)⇌⫙⪟⇑⪆203004⋣⋖⇑⪆22113)⇻⋧≁(⇑⪆134243⊢⇑⪆30022⊹∫⫚⇑⪆41012⊝⪿⪼⇑⪆14024)=NaN","reverse_text":"NaN=((⇑⪆13041⪡⇑⪆13012⊓⋫)⊟⇱)+⇶⊼((⇑⪆32403∵≐)⇌⫙⪟⇑⪆203004⋣⋖⇑⪆22113)⇻⋧≁(⇑⪆134243⊢⇑⪆30022⊹∫⫚⇑⪆41012⊝⪿⪼⇑⪆14024)","cot":[{"info":"⇑⪆13041⪡⇑⪆13012=⇑⪆412","layer":3},{"info":"⇑⪆412⊓⋫=⇑⪆-1420","layer":2},{"info":"⇑⪆-1420⊟⇱=⇑⪆-1104","layer":1},{"info":"⇑⪆32403∵≐=⇑⪆20112","layer":3},{"info":"⇑⪆203004⋣⋖⇑⪆22113=⇑⪆203004","layer":3},{"info":"⇑⪆20112⇌⫙⪟⇑⪆203004=⇑⪆423","layer":2},{"info":"⇑⪆134243⊢⇑⪆30022=⇑⪆-331030","layer":3},{"info":"⇑⪆41012⊝⪿⪼⇑⪆14024=⇑⪆2314112","layer":3},{"info":"⇑⪆-331030⊹∫⫚⇑⪆2314112=⇑⪆-3010","layer":2},{"info":"⇑⪆423⇻⋧≁⇑⪆-3010=⇑⪆-3242","layer":1},{"info":"⇑⪆-1104+⇶⊼⇑⪆-3242=NaN","layer":0}]}
{"id":14,"expression_no_base_symbol":"(($6376$∼$1293$)∛$4729$⊕∕$1117$)∓⋝(⪸($2248$⇴∐$2223$))↸(⨭⩧⫛(($1739$⨻⩈⩔$4537$)∣$2159$⪬$5292$))","expression":"((⇑⪆201001∼⇑⪆20133)∛⇑⪆122404⊕∕⇑⪆13432)∓⋝(⪸(⇑⪆32443⇴∐⇑⪆32343))↸(⨭⩧⫛((⇑⪆23424⨻⩈⩔⇑⪆121122)∣⇑⪆32114⪬⇑⪆132132))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1103,"operation_count":11,"complexity_ratio":100.27272727272727,"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":6376,"base":5},"right_expr":{"type":"numeric_atoms","value":1293,"base":5}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":4729,"base":5},"right_expr":{"type":"numeric_atoms","value":1117,"base":5}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2248,"base":5},"right_expr":{"type":"numeric_atoms","value":2223,"base":5}}}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1739,"base":5},"right_expr":{"type":"numeric_atoms","value":4537,"base":5}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2159,"base":5},"right_expr":{"type":"numeric_atoms","value":5292,"base":5}}}}},"used_operators":["1eCjFl0mb9","PoHhknlbAi","w2537kitQq","DyGG3AbaNP","9cloC0Ngie","86A5ENbKR9","HnzytWxmAO","g21JL6JxX7","PPChnnnBFF","nEsXyWgiOK","Ez1Nq5fNfI"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"⇑⪆232","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=6376","layer":4},{"info":"number node, value=1293","layer":4},{"info":"compute binary expreesion, left_input=6376, right_input=1293, 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=4729","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=4729, right_input=1117, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=4729","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4729, 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=2248","layer":4},{"info":"number node, value=2223","layer":4},{"info":"compute binary expreesion, left_input=2248, right_input=2223, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=1739","layer":4},{"info":"number node, value=4537","layer":4},{"info":"compute binary expreesion, left_input=1739, right_input=4537, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=5511","layer":3},{"info":"number node, value=2159","layer":4},{"info":"number node, value=5292","layer":4},{"info":"compute binary expreesion, left_input=2159, right_input=5292, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=5511, right_input=1234, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=5511","layer":2},{"info":"compute unary expreesion, input=5511, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=67","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆201001∼⇑⪆20133)∛⇑⪆122404⊕∕⇑⪆13432)∓⋝(⪸(⇑⪆32443⇴∐⇑⪆32343))↸(⨭⩧⫛((⇑⪆23424⨻⩈⩔⇑⪆121122)∣⇑⪆32114⪬⇑⪆132132))=⇑⪆232","reverse_text":"⇑⪆232=((⇑⪆201001∼⇑⪆20133)∛⇑⪆122404⊕∕⇑⪆13432)∓⋝(⪸(⇑⪆32443⇴∐⇑⪆32343))↸(⨭⩧⫛((⇑⪆23424⨻⩈⩔⇑⪆121122)∣⇑⪆32114⪬⇑⪆132132))","cot":[{"info":"⇑⪆201001∼⇑⪆20133=NaN","layer":3},{"info":"⇑⪆122404⊕∕⇑⪆13432=⇑⪆122404","layer":3},{"info":"NaN∛⇑⪆122404=NaN","layer":2},{"info":"⇑⪆32443⇴∐⇑⪆32343=NaN","layer":3},{"info":"⪸NaN=NaN","layer":2},{"info":"NaN∓⋝NaN=⇑⪆232","layer":1},{"info":"⇑⪆23424⨻⩈⩔⇑⪆121122=⇑⪆134021","layer":3},{"info":"⇑⪆32114⪬⇑⪆132132=⇑⪆14414","layer":3},{"info":"⇑⪆134021∣⇑⪆14414=⇑⪆134021","layer":2},{"info":"⨭⩧⫛⇑⪆134021=NaN","layer":1},{"info":"⇑⪆232↸NaN=⇑⪆232","layer":0}]}
{"id":15,"expression_no_base_symbol":"⫇(($6303$↯⫤)⪔⊥($1911$⨸⪁$3598$)∝(⋃($1733$⋷$1001$)))","expression":"⫇((⇑⪆200203↯⫤)⪔⊥(⇑⪆30121⨸⪁⇑⪆103343)∝(⋃(⇑⪆23413⋷⇑⪆13001)))","highest_n_order":1,"priority_hierarchical_complexity":7,"normalized_expansion_degree":60,"operation_count":7,"complexity_ratio":8.571428571428571,"tree":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":6303,"base":5}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1911,"base":5},"right_expr":{"type":"numeric_atoms","value":3598,"base":5}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1733,"base":5},"right_expr":{"type":"numeric_atoms","value":1001,"base":5}}}}},"used_operators":["YjI8oCXuph","cTDWOvIxvz","HJ9erzHUuu","VwlE7vj6HS","g55IO6H4Gj","3mBM5G4a3l","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","7j4O788W3g","W4YGzv6Whe","COABgblf1C","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆-1140114","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6303","layer":4},{"info":"compute unary expreesion, input=6303, 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=1911","layer":4},{"info":"number node, value=3598","layer":4},{"info":"compute binary expreesion, left_input=1911, right_input=3598, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11018","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=11018, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-22235","layer":2},{"info":"number node, value=1733","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=1001, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=269","layer":3},{"info":"compute unary expreesion, input=269, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=640","layer":2},{"info":"compute binary expreesion, left_input=-22235, right_input=640, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-22230","layer":1},{"info":"compute unary expreesion, input=-22230, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-21284","layer":0}],"base":5,"result_base":5,"text":"⫇((⇑⪆200203↯⫤)⪔⊥(⇑⪆30121⨸⪁⇑⪆103343)∝(⋃(⇑⪆23413⋷⇑⪆13001)))=⇑⪆-1140114","reverse_text":"⇑⪆-1140114=⫇((⇑⪆200203↯⫤)⪔⊥(⇑⪆30121⨸⪁⇑⪆103343)∝(⋃(⇑⪆23413⋷⇑⪆13001)))","cot":[{"info":"⇑⪆200203↯⫤=⇑⪆0","layer":3},{"info":"⇑⪆30121⨸⪁⇑⪆103343=⇑⪆323033","layer":3},{"info":"⇑⪆0⪔⊥⇑⪆323033=⇑⪆-1202420","layer":2},{"info":"⇑⪆23413⋷⇑⪆13001=⇑⪆2034","layer":3},{"info":"⋃⇑⪆2034=⇑⪆10030","layer":2},{"info":"⇑⪆-1202420∝⇑⪆10030=⇑⪆-1202410","layer":1},{"info":"⫇⇑⪆-1202410=⇑⪆-1140114","layer":0}]}
{"id":16,"expression_no_base_symbol":"((($6447$⩹$1289$)≎⊠⪸($1326$⫥∨⫟$1059$))≚⋢)⪨≂(⨮↦↱(⨛$7268$)⨽∌($4840$↱$1981$))","expression":"(((⇑⪆201242⩹⇑⪆20124)≎⊠⪸(⇑⪆20301⫥∨⫟⇑⪆13214))≚⋢)⪨≂(⨮↦↱(⨛⇑⪆213033)⨽∌(⇑⪆123330↱⇑⪆30411))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":991,"operation_count":9,"complexity_ratio":110.11111111111111,"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":6447,"base":5},"right_expr":{"type":"numeric_atoms","value":1289,"base":5}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1326,"base":5},"right_expr":{"type":"numeric_atoms","value":1059,"base":5}}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":7268,"base":5}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":4840,"base":5},"right_expr":{"type":"numeric_atoms","value":1981,"base":5}}}}},"used_operators":["sdazOOVcIp","MahUMFw56D","bJkvcejdHO","2Wsdkap16l","KYD54nUTWz","sYcpBQ0cFf","9samAPKr6k","CoMdbyAt7R","SR5kFfdi6N"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","8HhzD0ZcuI","rGHVDoGpnC","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"⇑⪆330001113","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6447","layer":4},{"info":"number node, value=1289","layer":4},{"info":"compute binary expreesion, left_input=6447, right_input=1289, 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=1287","layer":3},{"info":"number node, value=1326","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=1326, right_input=1059, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1287, 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 = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"number node, value=7268","layer":4},{"info":"compute unary expreesion, input=7268, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=4840","layer":4},{"info":"number node, value=1981","layer":4},{"info":"compute binary expreesion, left_input=4840, right_input=1981, 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=-5421","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5421, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-703242","layer":1},{"info":"compute binary expreesion, left_input=-89, right_input=-703242, 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=1406408","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆201242⩹⇑⪆20124)≎⊠⪸(⇑⪆20301⫥∨⫟⇑⪆13214))≚⋢)⪨≂(⨮↦↱(⨛⇑⪆213033)⨽∌(⇑⪆123330↱⇑⪆30411))=⇑⪆330001113","reverse_text":"⇑⪆330001113=(((⇑⪆201242⩹⇑⪆20124)≎⊠⪸(⇑⪆20301⫥∨⫟⇑⪆13214))≚⋢)⪨≂(⨮↦↱(⨛⇑⪆213033)⨽∌(⇑⪆123330↱⇑⪆30411))","cot":[{"info":"⇑⪆201242⩹⇑⪆20124=⇑⪆20122","layer":3},{"info":"⇑⪆20301⫥∨⫟⇑⪆13214=NaN","layer":3},{"info":"⇑⪆20122≎⊠⪸NaN=⇑⪆232","layer":2},{"info":"⇑⪆232≚⋢=⇑⪆-324","layer":1},{"info":"⨛⇑⪆213033=NaN","layer":3},{"info":"⇑⪆123330↱⇑⪆30411=⇑⪆-133141","layer":3},{"info":"NaN⨽∌⇑⪆-133141=⇑⪆0","layer":2},{"info":"⨮↦↱⇑⪆0=⇑⪆-140000432","layer":1},{"info":"⇑⪆-324⪨≂⇑⪆-140000432=⇑⪆330001113","layer":0}]}
{"id":17,"expression_no_base_symbol":"((↪⫪⫘($4909$⫭))⫔⩽⩺$2856$⩦$6362$⇴∐($1037$↓⨍⋜))⨚⇆($1726$∇⊂⋱$2812$⫚↹⊑$5828$⫃⨇$2853$)↳∿⪆(($2182$⫉⨲⊜$4005$)⇗⋫)","expression":"((↪⫪⫘(⇑⪆124114⫭))⫔⩽⩺⇑⪆42411⩦⇑⪆200422⇴∐(⇑⪆13122↓⨍⋜))⨚⇆(⇑⪆23401∇⊂⋱⇑⪆42222⫚↹⊑⇑⪆141303⫃⨇⇑⪆42403)↳∿⪆((⇑⪆32212⫉⨲⊜⇑⪆112010)⇗⋫)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3617,"operation_count":13,"complexity_ratio":278.2307692307692,"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":4909,"base":5}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2856,"base":5},"right_expr":{"type":"numeric_atoms","value":6362,"base":5}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":1037,"base":5}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1726,"base":5},"right_expr":{"type":"numeric_atoms","value":2812,"base":5}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5828,"base":5},"right_expr":{"type":"numeric_atoms","value":2853,"base":5}}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2182,"base":5},"right_expr":{"type":"numeric_atoms","value":4005,"base":5}}}}},"used_operators":["lwHaAYXP2r","i9eR4S00cU","9dWsAM3GFt","t4WUHVGj7f","HnzytWxmAO","0kmYd0q39Y","3DVzLFNsE9","Cw4SuJJGHO","dfKe02y8D2","nhYeJWJD5X","09Ly4LVMIf","hpqmaQFPrd","WhqkvtTD3t"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","Tw270M8GLb","fu6greOZ01","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rxpJgHHUmx","eewbuw0ToL","zVYPLywUTj"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4909","layer":4},{"info":"compute unary expreesion, input=4909, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=14968","layer":3},{"info":"compute unary expreesion, input=14968, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"number node, value=2856","layer":4},{"info":"number node, value=6362","layer":4},{"info":"compute binary expreesion, left_input=2856, right_input=6362, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=5712","layer":3},{"info":"number node, value=1037","layer":4},{"info":"compute unary expreesion, input=1037, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute binary expreesion, left_input=5712, right_input=6590, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=1726","layer":4},{"info":"number node, value=2812","layer":4},{"info":"compute binary expreesion, left_input=1726, right_input=2812, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2906","layer":3},{"info":"number node, value=5828","layer":4},{"info":"number node, value=2853","layer":4},{"info":"compute binary expreesion, left_input=5828, right_input=2853, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-11444","layer":3},{"info":"compute binary expreesion, left_input=2906, right_input=-11444, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=2182","layer":4},{"info":"number node, value=4005","layer":4},{"info":"compute binary expreesion, left_input=2182, right_input=4005, 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 = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-22, 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 = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((↪⫪⫘(⇑⪆124114⫭))⫔⩽⩺⇑⪆42411⩦⇑⪆200422⇴∐(⇑⪆13122↓⨍⋜))⨚⇆(⇑⪆23401∇⊂⋱⇑⪆42222⫚↹⊑⇑⪆141303⫃⨇⇑⪆42403)↳∿⪆((⇑⪆32212⫉⨲⊜⇑⪆112010)⇗⋫)=NaN","reverse_text":"NaN=((↪⫪⫘(⇑⪆124114⫭))⫔⩽⩺⇑⪆42411⩦⇑⪆200422⇴∐(⇑⪆13122↓⨍⋜))⨚⇆(⇑⪆23401∇⊂⋱⇑⪆42222⫚↹⊑⇑⪆141303⫃⨇⇑⪆42403)↳∿⪆((⇑⪆32212⫉⨲⊜⇑⪆112010)⇗⋫)","cot":[{"info":"⇑⪆124114⫭=⇑⪆434333","layer":3},{"info":"↪⫪⫘⇑⪆434333=⇑⪆40","layer":2},{"info":"⇑⪆42411⩦⇑⪆200422=⇑⪆140322","layer":3},{"info":"⇑⪆13122↓⨍⋜=⇑⪆202330","layer":3},{"info":"⇑⪆140322⇴∐⇑⪆202330=NaN","layer":2},{"info":"⇑⪆40⫔⩽⩺NaN=NaN","layer":1},{"info":"⇑⪆23401∇⊂⋱⇑⪆42222=⇑⪆43111","layer":3},{"info":"⇑⪆141303⫃⨇⇑⪆42403=⇑⪆-331234","layer":3},{"info":"⇑⪆43111⫚↹⊑⇑⪆-331234=⇑⪆-3242","layer":2},{"info":"⇑⪆32212⫉⨲⊜⇑⪆112010=⇑⪆0","layer":3},{"info":"⇑⪆0⇗⋫=⇑⪆-42","layer":2},{"info":"⇑⪆-3242↳∿⪆⇑⪆-42=NaN","layer":1},{"info":"NaN⨚⇆NaN=NaN","layer":0}]}
{"id":18,"expression_no_base_symbol":"⫶⊄≣(($4641$≬⇓$2259$⋻⩜⩜$2931$⫢⨠$5482$)≓∲$6123$∼$1002$⊝⪿⪼($4428$≭$1828$))","expression":"⫶⊄≣((⇑⪆122031≬⇓⇑⪆33014⋻⩜⩜⇑⪆43211⫢⨠⇑⪆133412)≓∲⇑⪆143443∼⇑⪆13002⊝⪿⪼(⇑⪆120203≭⇑⪆24303))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2524,"operation_count":8,"complexity_ratio":315.5,"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":4641,"base":5},"right_expr":{"type":"numeric_atoms","value":2259,"base":5}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2931,"base":5},"right_expr":{"type":"numeric_atoms","value":5482,"base":5}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6123,"base":5},"right_expr":{"type":"numeric_atoms","value":1002,"base":5}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4428,"base":5},"right_expr":{"type":"numeric_atoms","value":1828,"base":5}}}}},"used_operators":["wxb3vTeyAj","s1XTVnmDOJ","oDCm7WA9JY","jWTQ2TZYIH","xlXykHWxX1","3Oe9XWJUTD","DyGG3AbaNP","rxpJgHHUmx"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=4641","layer":4},{"info":"number node, value=2259","layer":4},{"info":"compute binary expreesion, left_input=4641, right_input=2259, 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=2931","layer":4},{"info":"number node, value=5482","layer":4},{"info":"compute binary expreesion, left_input=2931, right_input=5482, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-22, 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=-44","layer":2},{"info":"number node, value=6123","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=6123, right_input=1002, 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=4428","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=4428, right_input=1828, 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 = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-44, 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 unary expreesion, input=nan, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⫶⊄≣((⇑⪆122031≬⇓⇑⪆33014⋻⩜⩜⇑⪆43211⫢⨠⇑⪆133412)≓∲⇑⪆143443∼⇑⪆13002⊝⪿⪼(⇑⪆120203≭⇑⪆24303))=NaN","reverse_text":"NaN=⫶⊄≣((⇑⪆122031≬⇓⇑⪆33014⋻⩜⩜⇑⪆43211⫢⨠⇑⪆133412)≓∲⇑⪆143443∼⇑⪆13002⊝⪿⪼(⇑⪆120203≭⇑⪆24303))","cot":[{"info":"⇑⪆122031≬⇓⇑⪆33014=⇑⪆-42","layer":3},{"info":"⇑⪆43211⫢⨠⇑⪆133412=⇑⪆1120","layer":3},{"info":"⇑⪆-42⋻⩜⩜⇑⪆1120=⇑⪆-134","layer":2},{"info":"⇑⪆143443∼⇑⪆13002=NaN","layer":3},{"info":"⇑⪆120203≭⇑⪆24303=NaN","layer":3},{"info":"NaN⊝⪿⪼NaN=NaN","layer":2},{"info":"⇑⪆-134≓∲NaN=NaN","layer":1},{"info":"⫶⊄≣NaN=NaN","layer":0}]}
{"id":19,"expression_no_base_symbol":"(≱⇩⩕$4827$⪨⊡$1095$⩚⊴⇥$3207$⊋$6011$)⇻⋧≁((($6584$∲⫓$1046$)⪭$4391$≝⊿$1683$)⨑⩅≇(⋠∜$5229$⨜⨶$2801$))","expression":"(≱⇩⩕⇑⪆123302⪨⊡⇑⪆13340⩚⊴⇥⇑⪆100312⊋⇑⪆143021)⇻⋧≁(((⇑⪆202314∲⫓⇑⪆13141)⪭⇑⪆120031≝⊿⇑⪆23213)⨑⩅≇(⋠∜⇑⪆131404⨜⨶⇑⪆42201))","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5907,"operation_count":11,"complexity_ratio":537.0,"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":4827,"base":5},"right_expr":{"type":"numeric_atoms","value":1095,"base":5}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3207,"base":5},"right_expr":{"type":"numeric_atoms","value":6011,"base":5}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6584,"base":5},"right_expr":{"type":"numeric_atoms","value":1046,"base":5}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":4391,"base":5},"right_expr":{"type":"numeric_atoms","value":1683,"base":5}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":5229,"base":5},"right_expr":{"type":"numeric_atoms","value":2801,"base":5}}}}},"used_operators":["jCPkEVoL5K","3DZMoQKiUl","NTOWxs364D","kuIXHzHcAH","W4tP9CfskL","h92wMvzauj","j9kHMeSvPp","i8ToyICDmI","OKKcZfAt5B","ZJpFhNJr3x","HiPekx5b7W"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","12rbrZMWeM","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⇑⪆-3242","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4827","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=4827, right_input=1095, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3207","layer":4},{"info":"number node, value=6011","layer":4},{"info":"compute binary expreesion, left_input=3207, right_input=6011, 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=-131182660","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-131182660, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=131182539","layer":2},{"info":"compute unary expreesion, input=131182539, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"number node, value=6584","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=6584, right_input=1046, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4391","layer":4},{"info":"number node, value=1683","layer":4},{"info":"compute binary expreesion, left_input=4391, right_input=1683, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8290","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8290, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-174","layer":2},{"info":"number node, value=5229","layer":4},{"info":"number node, value=2801","layer":4},{"info":"compute binary expreesion, left_input=5229, right_input=2801, 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=-5346","layer":3},{"info":"compute unary expreesion, input=-5346, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=-19100","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=-19100, 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=6136","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=6136, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":0}],"base":5,"result_base":5,"text":"(≱⇩⩕⇑⪆123302⪨⊡⇑⪆13340⩚⊴⇥⇑⪆100312⊋⇑⪆143021)⇻⋧≁(((⇑⪆202314∲⫓⇑⪆13141)⪭⇑⪆120031≝⊿⇑⪆23213)⨑⩅≇(⋠∜⇑⪆131404⨜⨶⇑⪆42201))=⇑⪆-3242","reverse_text":"⇑⪆-3242=(≱⇩⩕⇑⪆123302⪨⊡⇑⪆13340⩚⊴⇥⇑⪆100312⊋⇑⪆143021)⇻⋧≁(((⇑⪆202314∲⫓⇑⪆13141)⪭⇑⪆120031≝⊿⇑⪆23213)⨑⩅≇(⋠∜⇑⪆131404⨜⨶⇑⪆42201))","cot":[{"info":"⇑⪆123302⪨⊡⇑⪆13340=⇑⪆0","layer":3},{"info":"⇑⪆100312⊋⇑⪆143021=⇑⪆-232040321120","layer":3},{"info":"⇑⪆0⩚⊴⇥⇑⪆-232040321120=⇑⪆232040320124","layer":2},{"info":"≱⇩⩕⇑⪆232040320124=⇑⪆423","layer":1},{"info":"⇑⪆202314∲⫓⇑⪆13141=⇑⪆0","layer":3},{"info":"⇑⪆120031≝⊿⇑⪆23213=⇑⪆-231130","layer":3},{"info":"⇑⪆0⪭⇑⪆-231130=⇑⪆-1144","layer":2},{"info":"⇑⪆131404⨜⨶⇑⪆42201=⇑⪆-132341","layer":3},{"info":"⋠∜⇑⪆-132341=⇑⪆-1102400","layer":2},{"info":"⇑⪆-1144⨑⩅≇⇑⪆-1102400=⇑⪆144021","layer":1},{"info":"⇑⪆423⇻⋧≁⇑⪆144021=⇑⪆-3242","layer":0}]}
{"id":20,"expression_no_base_symbol":"⇁⨣⪵(⋃(⩎⋉$2294$))⪟⇏(($3865$⨪↰⇹$2260$)∇⊂⋱(∥⊫$3880$))","expression":"⇁⨣⪵(⋃(⩎⋉⇑⪆33134))⪟⇏((⇑⪆110430⨪↰⇹⇑⪆33020)∇⊂⋱(∥⊫⇑⪆111010))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4142,"operation_count":7,"complexity_ratio":591.7142857142857,"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":2294,"base":5}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3865,"base":5},"right_expr":{"type":"numeric_atoms","value":2260,"base":5}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3880,"base":5}}}}},"used_operators":["inkyxCbjAn","GODebY97qR","3mBM5G4a3l","FlXk3pOYe8","nhYeJWJD5X","tmPS8pqC7x","P8v4zCKN1o"],"dependent_operators":["B5M0gjZbta","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","g55IO6H4Gj","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆114","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2294","layer":4},{"info":"compute unary expreesion, input=2294, 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 = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=3402","layer":2},{"info":"number node, value=3865","layer":4},{"info":"number node, value=2260","layer":4},{"info":"compute binary expreesion, left_input=3865, right_input=2260, 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=3865","layer":3},{"info":"number node, value=3880","layer":4},{"info":"compute unary expreesion, input=3880, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4748","layer":3},{"info":"compute binary expreesion, left_input=3865, right_input=4748, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=7184","layer":2},{"info":"compute binary expreesion, left_input=3402, right_input=7184, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=34","layer":0}],"base":5,"result_base":5,"text":"⇁⨣⪵(⋃(⩎⋉⇑⪆33134))⪟⇏((⇑⪆110430⨪↰⇹⇑⪆33020)∇⊂⋱(∥⊫⇑⪆111010))=⇑⪆114","reverse_text":"⇑⪆114=⇁⨣⪵(⋃(⩎⋉⇑⪆33134))⪟⇏((⇑⪆110430⨪↰⇹⇑⪆33020)∇⊂⋱(∥⊫⇑⪆111010))","cot":[{"info":"⩎⋉⇑⪆33134=⇑⪆23100","layer":3},{"info":"⋃⇑⪆23100=⇑⪆102102","layer":2},{"info":"⇑⪆110430⨪↰⇹⇑⪆33020=⇑⪆110430","layer":3},{"info":"∥⊫⇑⪆111010=⇑⪆122443","layer":3},{"info":"⇑⪆110430∇⊂⋱⇑⪆122443=⇑⪆212214","layer":2},{"info":"⇑⪆102102⪟⇏⇑⪆212214=⇑⪆-1","layer":1},{"info":"⇁⨣⪵⇑⪆-1=⇑⪆114","layer":0}]}
{"id":21,"expression_no_base_symbol":"⋗⩬⋾(⨆≐≲((⪹$9204$)⪟⇏($6709$⩇∃⫛$3685$)))","expression":"⋗⩬⋾(⨆≐≲((⪹⇑⪆243304)⪟⇏(⇑⪆203314⩇∃⫛⇑⪆104220)))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":93,"operation_count":5,"complexity_ratio":18.6,"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":9204,"base":5}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":6709,"base":5},"right_expr":{"type":"numeric_atoms","value":3685,"base":5}}}}},"used_operators":["DpFCA1CohY","Bi9z9uYZqW","GODebY97qR","USyYr0JgAa","1aApVXNlOP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","tifHPKVTfV","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"⇑⪆111421200","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=9204","layer":4},{"info":"compute unary expreesion, input=9204, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-9024","layer":3},{"info":"number node, value=6709","layer":4},{"info":"number node, value=3685","layer":4},{"info":"compute binary expreesion, left_input=6709, right_input=3685, 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=-2551","layer":3},{"info":"compute binary expreesion, left_input=-9024, right_input=-2551, 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 = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-166100","layer":1},{"info":"compute unary expreesion, input=-166100, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=498300","layer":0}],"base":5,"result_base":5,"text":"⋗⩬⋾(⨆≐≲((⪹⇑⪆243304)⪟⇏(⇑⪆203314⩇∃⫛⇑⪆104220)))=⇑⪆111421200","reverse_text":"⇑⪆111421200=⋗⩬⋾(⨆≐≲((⪹⇑⪆243304)⪟⇏(⇑⪆203314⩇∃⫛⇑⪆104220)))","cot":[{"info":"⪹⇑⪆243304=⇑⪆-242044","layer":3},{"info":"⇑⪆203314⩇∃⫛⇑⪆104220=⇑⪆-40201","layer":3},{"info":"⇑⪆-242044⪟⇏⇑⪆-40201=⇑⪆0","layer":2},{"info":"⨆≐≲⇑⪆0=⇑⪆-20303400","layer":1},{"info":"⋗⩬⋾⇑⪆-20303400=⇑⪆111421200","layer":0}]}
{"id":22,"expression_no_base_symbol":"(($3954$⩺⪪$2618$)≦↸($5548$∋$1383$)⨀⨒)⫽⇹≛","expression":"((⇑⪆111304⩺⪪⇑⪆40433)≦↸(⇑⪆134143∋⇑⪆21013)⨀⨒)⫽⇹≛","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":316,"operation_count":5,"complexity_ratio":63.2,"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":3954,"base":5},"right_expr":{"type":"numeric_atoms","value":2618,"base":5}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":5548,"base":5},"right_expr":{"type":"numeric_atoms","value":1383,"base":5}}}}},"used_operators":["NNaDxxp6OQ","j6NVkjMzuk","RygbFNSyEJ","uvdQJvN4PV","ukq6epAj5P"],"dependent_operators":["KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"⇑⪆2042","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3954","layer":4},{"info":"number node, value=2618","layer":4},{"info":"compute binary expreesion, left_input=3954, right_input=2618, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-22274","layer":3},{"info":"number node, value=5548","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=5548, right_input=1383, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3100400","layer":3},{"info":"compute binary expreesion, left_input=-22274, right_input=3100400, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-6155571","layer":2},{"info":"compute unary expreesion, input=-6155571, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=-2407","layer":1},{"info":"compute unary expreesion, input=-2407, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆111304⩺⪪⇑⪆40433)≦↸(⇑⪆134143∋⇑⪆21013)⨀⨒)⫽⇹≛=⇑⪆2042","reverse_text":"⇑⪆2042=((⇑⪆111304⩺⪪⇑⪆40433)≦↸(⇑⪆134143∋⇑⪆21013)⨀⨒)⫽⇹≛","cot":[{"info":"⇑⪆111304⩺⪪⇑⪆40433=⇑⪆-1203044","layer":3},{"info":"⇑⪆134143∋⇑⪆21013=⇑⪆1243203100","layer":3},{"info":"⇑⪆-1203044≦↸⇑⪆1243203100=⇑⪆-3033434241","layer":2},{"info":"⇑⪆-3033434241⨀⨒=⇑⪆-34112","layer":1},{"info":"⇑⪆-34112⫽⇹≛=⇑⪆2042","layer":0}]}
{"id":23,"expression_no_base_symbol":"((⪨⨬(⨣⨃⇪$1053$))⨽(⋃$2588$)⨥⫆(⊀$1163$))⋹⋡⊁(((⩷⨜⫀$5453$)∼$2397$⪝$1056$)↹⊜((⇺⋃$3393$)↯⫤))","expression":"((⪨⨬(⨣⨃⇪⇑⪆13203))⨽(⋃⇑⪆40323)⨥⫆(⊀⇑⪆14123))⋹⋡⊁(((⩷⨜⫀⇑⪆133303)∼⇑⪆34042⪝⇑⪆13211)↹⊜((⇺⋃⇑⪆102033)↯⫤))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1251,"operation_count":13,"complexity_ratio":96.23076923076923,"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":1053,"base":5}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":2588,"base":5}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1163,"base":5}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":5453,"base":5}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2397,"base":5},"right_expr":{"type":"numeric_atoms","value":1056,"base":5}}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":3393,"base":5}}}}},"used_operators":["As8RqfVLgs","8HhzD0ZcuI","5obUd6DV38","AcOhelriW5","yXekIHxTD4","3mBM5G4a3l","oPMjh9089D","9bazX3JMtO","DyGG3AbaNP","CDi0ktkjQ4","wicAB68Tmb","VwlE7vj6HS","E5v5B3UAjG"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","T2fj7uvVaJ","nlCqmYiOvY","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","g55IO6H4Gj","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","ruOEQAzv1W","nhYeJWJD5X","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"⇑⪆12000042100","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1053","layer":4},{"info":"compute unary expreesion, input=1053, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute unary expreesion, input=1405, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"number node, value=2588","layer":4},{"info":"compute unary expreesion, input=2588, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=5278","layer":3},{"info":"number node, value=1163","layer":4},{"info":"compute unary expreesion, input=1163, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=4390","layer":3},{"info":"compute binary expreesion, left_input=5278, right_input=4390, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=8656","layer":2},{"info":"compute binary expreesion, left_input=-526, right_input=8656, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-854682","layer":1},{"info":"number node, value=5453","layer":4},{"info":"compute unary expreesion, input=5453, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-5180","layer":3},{"info":"number node, value=2397","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=2397, right_input=1056, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-5763","layer":3},{"info":"compute binary expreesion, left_input=-5180, right_input=-5763, 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=3393","layer":4},{"info":"compute unary expreesion, input=3393, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"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":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=-854682, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=13674650","layer":0}],"base":5,"result_base":5,"text":"((⪨⨬(⨣⨃⇪⇑⪆13203))⨽(⋃⇑⪆40323)⨥⫆(⊀⇑⪆14123))⋹⋡⊁(((⩷⨜⫀⇑⪆133303)∼⇑⪆34042⪝⇑⪆13211)↹⊜((⇺⋃⇑⪆102033)↯⫤))=⇑⪆12000042100","reverse_text":"⇑⪆12000042100=((⪨⨬(⨣⨃⇪⇑⪆13203))⨽(⋃⇑⪆40323)⨥⫆(⊀⇑⪆14123))⋹⋡⊁(((⩷⨜⫀⇑⪆133303)∼⇑⪆34042⪝⇑⪆13211)↹⊜((⇺⋃⇑⪆102033)↯⫤))","cot":[{"info":"⨣⨃⇪⇑⪆13203=⇑⪆21110","layer":3},{"info":"⪨⨬⇑⪆21110=⇑⪆-4101","layer":2},{"info":"⋃⇑⪆40323=⇑⪆132103","layer":3},{"info":"⊀⇑⪆14123=⇑⪆120030","layer":3},{"info":"⇑⪆132103⨥⫆⇑⪆120030=⇑⪆234111","layer":2},{"info":"⇑⪆-4101⨽⇑⪆234111=⇑⪆-204322212","layer":1},{"info":"⩷⨜⫀⇑⪆133303=⇑⪆-131210","layer":3},{"info":"⇑⪆34042⪝⇑⪆13211=⇑⪆-141023","layer":3},{"info":"⇑⪆-131210∼⇑⪆-141023=NaN","layer":2},{"info":"⇺⋃⇑⪆102033=NaN","layer":3},{"info":"NaN↯⫤=NaN","layer":2},{"info":"NaN↹⊜NaN=NaN","layer":1},{"info":"⇑⪆-204322212⋹⋡⊁NaN=⇑⪆12000042100","layer":0}]}
{"id":24,"expression_no_base_symbol":"((⨑⩽⪐(⊄⩳↩$3361$))∣($4017$⪨≂$1064$)⪃⊛⇣($2674$≁$2709$))∴(($1994$⩺⪪$5114$)⇴($4602$⨸⪁$4175$))↳≱($4721$⇻⋧≁$2303$≳⇉($2492$∐⫣))","expression":"((⨑⩽⪐(⊄⩳↩⇑⪆101421))∣(⇑⪆112032⪨≂⇑⪆13224)⪃⊛⇣(⇑⪆41144≁⇑⪆41314))∴((⇑⪆30434⩺⪪⇑⪆130424)⇴(⇑⪆121402⨸⪁⇑⪆113200))↳≱(⇑⪆122341⇻⋧≁⇑⪆33203≳⇉(⇑⪆34432∐⫣))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3491720,"operation_count":14,"complexity_ratio":249408.57142857142,"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":3361,"base":5}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4017,"base":5},"right_expr":{"type":"numeric_atoms","value":1064,"base":5}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2674,"base":5},"right_expr":{"type":"numeric_atoms","value":2709,"base":5}}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1994,"base":5},"right_expr":{"type":"numeric_atoms","value":5114,"base":5}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4602,"base":5},"right_expr":{"type":"numeric_atoms","value":4175,"base":5}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":4721,"base":5},"right_expr":{"type":"numeric_atoms","value":2303,"base":5}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":2492,"base":5}}}}},"used_operators":["hrf7POJlIJ","PPChnnnBFF","AF7qkfDlqP","8w2t5hMYqp","rrgAzCduG9","sdazOOVcIp","8N2wDY1A35","JwTKLfZU96","4JB6nKBMSY","uvdQJvN4PV","g55IO6H4Gj","V0kx6qeWkN","jCPkEVoL5K","4CyGpkTkEk"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","sdazOOVcIp","NTOWxs364D","COABgblf1C","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg"],"result":"⇑⪆2343213","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3361","layer":4},{"info":"compute unary expreesion, input=3361, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10083","layer":3},{"info":"compute unary expreesion, input=-10083, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=20955","layer":2},{"info":"number node, value=4017","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=4017, right_input=1064, 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=6008","layer":3},{"info":"number node, value=2674","layer":4},{"info":"number node, value=2709","layer":4},{"info":"compute binary expreesion, left_input=2674, right_input=2709, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=51815","layer":3},{"info":"compute binary expreesion, left_input=6008, right_input=51815, 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=20955, right_input=1234, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=20955","layer":1},{"info":"number node, value=1994","layer":4},{"info":"number node, value=5114","layer":4},{"info":"compute binary expreesion, left_input=1994, right_input=5114, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=4602","layer":4},{"info":"number node, value=4175","layer":4},{"info":"compute binary expreesion, left_input=4602, right_input=4175, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17554","layer":3},{"info":"compute binary expreesion, left_input=-1818, right_input=17554, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=23814","layer":2},{"info":"number node, value=4721","layer":4},{"info":"number node, value=2303","layer":4},{"info":"compute binary expreesion, left_input=4721, right_input=2303, 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=2492","layer":4},{"info":"compute unary expreesion, input=2492, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=551, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=23814, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=20955, right_input=0, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=43558","layer":0}],"base":5,"result_base":5,"text":"((⨑⩽⪐(⊄⩳↩⇑⪆101421))∣(⇑⪆112032⪨≂⇑⪆13224)⪃⊛⇣(⇑⪆41144≁⇑⪆41314))∴((⇑⪆30434⩺⪪⇑⪆130424)⇴(⇑⪆121402⨸⪁⇑⪆113200))↳≱(⇑⪆122341⇻⋧≁⇑⪆33203≳⇉(⇑⪆34432∐⫣))=⇑⪆2343213","reverse_text":"⇑⪆2343213=((⨑⩽⪐(⊄⩳↩⇑⪆101421))∣(⇑⪆112032⪨≂⇑⪆13224)⪃⊛⇣(⇑⪆41144≁⇑⪆41314))∴((⇑⪆30434⩺⪪⇑⪆130424)⇴(⇑⪆121402⨸⪁⇑⪆113200))↳≱(⇑⪆122341⇻⋧≁⇑⪆33203≳⇉(⇑⪆34432∐⫣))","cot":[{"info":"⊄⩳↩⇑⪆101421=⇑⪆-310313","layer":3},{"info":"⨑⩽⪐⇑⪆-310313=⇑⪆1132310","layer":2},{"info":"⇑⪆112032⪨≂⇑⪆13224=⇑⪆143013","layer":3},{"info":"⇑⪆41144≁⇑⪆41314=⇑⪆3124230","layer":3},{"info":"⇑⪆143013⪃⊛⇣⇑⪆3124230=⇑⪆14414","layer":2},{"info":"⇑⪆1132310∣⇑⪆14414=⇑⪆1132310","layer":1},{"info":"⇑⪆30434⩺⪪⇑⪆130424=⇑⪆-24233","layer":3},{"info":"⇑⪆121402⨸⪁⇑⪆113200=⇑⪆1030204","layer":3},{"info":"⇑⪆-24233⇴⇑⪆1030204=⇑⪆1230224","layer":2},{"info":"⇑⪆122341⇻⋧≁⇑⪆33203=⇑⪆-3242","layer":3},{"info":"⇑⪆34432∐⫣=⇑⪆4201","layer":3},{"info":"⇑⪆-3242≳⇉⇑⪆4201=NaN","layer":2},{"info":"⇑⪆1230224↳≱NaN=⇑⪆0","layer":1},{"info":"⇑⪆1132310∴⇑⪆0=⇑⪆2343213","layer":0}]}
{"id":25,"expression_no_base_symbol":"((≯$7751$∊∟⩊$6145$)↙(⊑$2008$)⩌⋺($8949$∀⋜↑))⨪↰⇹(($4394$⪍↜⋙$1013$)∣$3858$+⪬∐$1103$)∇⊂⋱($1894$≳⇉$2341$)⫯⪬∳($2567$⫸⊐$2706$)","expression":"((≯⇑⪆222001∊∟⩊⇑⪆144040)↙(⊑⇑⪆31013)⩌⋺(⇑⪆241244∀⋜↑))⨪↰⇹((⇑⪆120034⪍↜⋙⇑⪆13023)∣⇑⪆110413+⪬∐⇑⪆13403)∇⊂⋱(⇑⪆30034≳⇉⇑⪆33331)⫯⪬∳(⇑⪆40232⫸⊐⇑⪆41311)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":57883048,"operation_count":14,"complexity_ratio":4134503.4285714286,"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":7751,"base":5},"right_expr":{"type":"numeric_atoms","value":6145,"base":5}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":2008,"base":5}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":8949,"base":5}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":4394,"base":5},"right_expr":{"type":"numeric_atoms","value":1013,"base":5}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3858,"base":5},"right_expr":{"type":"numeric_atoms","value":1103,"base":5}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1894,"base":5},"right_expr":{"type":"numeric_atoms","value":2341,"base":5}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2567,"base":5},"right_expr":{"type":"numeric_atoms","value":2706,"base":5}}}}},"used_operators":["tmPS8pqC7x","yyfyN0ffXY","keWfFq85dY","ddLRYrp01A","g7Hmc5v1ko","IkUmn0D7oy","KipPnG1M2J","nhYeJWJD5X","PPChnnnBFF","L05ObWFQCd","2GS7woTJqF","d7ASUq0ydm","V0kx6qeWkN","mqXw5SEYmG"],"dependent_operators":["rJVOvQCfKK","tmPS8pqC7x","DpFCA1CohY","g55IO6H4Gj","JLbD19bQDL","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7751","layer":4},{"info":"number node, value=6145","layer":4},{"info":"compute binary expreesion, left_input=7751, right_input=6145, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=6145","layer":3},{"info":"compute unary expreesion, input=6145, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=2008","layer":4},{"info":"compute unary expreesion, input=2008, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=8949","layer":4},{"info":"compute unary expreesion, input=8949, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=-484, 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=171","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=171, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"number node, value=4394","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=4394, right_input=1013, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=6762","layer":3},{"info":"number node, value=3858","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=3858, right_input=1103, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-11574","layer":3},{"info":"compute binary expreesion, left_input=6762, right_input=-11574, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-5805","layer":2},{"info":"number node, value=1894","layer":4},{"info":"number node, value=2341","layer":4},{"info":"compute binary expreesion, left_input=1894, right_input=2341, 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=2567","layer":4},{"info":"number node, value=2706","layer":4},{"info":"compute binary expreesion, left_input=2567, right_input=2706, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10699","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10699, 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=-5805, 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=0, 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=0","layer":0}],"base":5,"result_base":5,"text":"((≯⇑⪆222001∊∟⩊⇑⪆144040)↙(⊑⇑⪆31013)⩌⋺(⇑⪆241244∀⋜↑))⨪↰⇹((⇑⪆120034⪍↜⋙⇑⪆13023)∣⇑⪆110413+⪬∐⇑⪆13403)∇⊂⋱(⇑⪆30034≳⇉⇑⪆33331)⫯⪬∳(⇑⪆40232⫸⊐⇑⪆41311)=⇑⪆0","reverse_text":"⇑⪆0=((≯⇑⪆222001∊∟⩊⇑⪆144040)↙(⊑⇑⪆31013)⩌⋺(⇑⪆241244∀⋜↑))⨪↰⇹((⇑⪆120034⪍↜⋙⇑⪆13023)∣⇑⪆110413+⪬∐⇑⪆13403)∇⊂⋱(⇑⪆30034≳⇉⇑⪆33331)⫯⪬∳(⇑⪆40232⫸⊐⇑⪆41311)","cot":[{"info":"⇑⪆222001∊∟⩊⇑⪆144040=⇑⪆144040","layer":3},{"info":"≯⇑⪆144040=⇑⪆0","layer":2},{"info":"⊑⇑⪆31013=⇑⪆1232","layer":3},{"info":"⇑⪆241244∀⋜↑=⇑⪆-3414","layer":3},{"info":"⇑⪆1232⩌⋺⇑⪆-3414=⇑⪆1141","layer":2},{"info":"⇑⪆0↙⇑⪆1141=⇑⪆0","layer":1},{"info":"⇑⪆120034⪍↜⋙⇑⪆13023=⇑⪆204022","layer":3},{"info":"⇑⪆110413+⪬∐⇑⪆13403=⇑⪆-332244","layer":3},{"info":"⇑⪆204022∣⇑⪆-332244=⇑⪆-141210","layer":2},{"info":"⇑⪆30034≳⇉⇑⪆33331=NaN","layer":3},{"info":"⇑⪆40232⫸⊐⇑⪆41311=⇑⪆320244","layer":3},{"info":"NaN⫯⪬∳⇑⪆320244=NaN","layer":2},{"info":"⇑⪆-141210∇⊂⋱NaN=NaN","layer":1},{"info":"⇑⪆0⨪↰⇹NaN=⇑⪆0","layer":0}]}
{"id":26,"expression_no_base_symbol":"-(↪⫪⫘((↩$1053$)≄⊠$2916$⇤$2063$))","expression":"-(↪⫪⫘((↩⇑⪆13203)≄⊠⇑⪆43131⇤⇑⪆31223))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":206,"operation_count":5,"complexity_ratio":41.2,"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":1053,"base":5}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2916,"base":5},"right_expr":{"type":"numeric_atoms","value":2063,"base":5}}}}},"used_operators":["t8gj7n24qd","9dWsAM3GFt","vXNesLlMH1","jLgFTUHLKL","YSKBFp38Pu"],"dependent_operators":["DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⇑⪆-40","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1053","layer":4},{"info":"compute unary expreesion, input=1053, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5644","layer":3},{"info":"number node, value=2916","layer":4},{"info":"number node, value=2063","layer":4},{"info":"compute binary expreesion, left_input=2916, right_input=2063, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-22047","layer":3},{"info":"compute binary expreesion, left_input=-5644, right_input=-22047, 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 = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":1},{"info":"compute unary expreesion, input=20, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-20","layer":0}],"base":5,"result_base":5,"text":"-(↪⫪⫘((↩⇑⪆13203)≄⊠⇑⪆43131⇤⇑⪆31223))=⇑⪆-40","reverse_text":"⇑⪆-40=-(↪⫪⫘((↩⇑⪆13203)≄⊠⇑⪆43131⇤⇑⪆31223))","cot":[{"info":"↩⇑⪆13203=⇑⪆-140034","layer":3},{"info":"⇑⪆43131⇤⇑⪆31223=⇑⪆-1201142","layer":3},{"info":"⇑⪆-140034≄⊠⇑⪆-1201142=⇑⪆22000","layer":2},{"info":"↪⫪⫘⇑⪆22000=⇑⪆40","layer":1},{"info":"-⇑⪆40=⇑⪆-40","layer":0}]}
{"id":27,"expression_no_base_symbol":"⨵≀≌($2127$⪬$6736$)⫗⊷⫓($8252$⪝$3645$)⊴(($4370$⋭≵$4238$)⋳⪒($3531$≬⋮$1304$))","expression":"⨵≀≌(⇑⪆32002⪬⇑⪆203421)⫗⊷⫓(⇑⪆231002⪝⇑⪆104040)⊴((⇑⪆114440⋭≵⇑⪆113423)⋳⪒(⇑⪆103111≬⋮⇑⪆20204))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2762,"operation_count":8,"complexity_ratio":345.25,"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":2127,"base":5},"right_expr":{"type":"numeric_atoms","value":6736,"base":5}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":8252,"base":5},"right_expr":{"type":"numeric_atoms","value":3645,"base":5}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":4370,"base":5},"right_expr":{"type":"numeric_atoms","value":4238,"base":5}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3531,"base":5},"right_expr":{"type":"numeric_atoms","value":1304,"base":5}}}}},"used_operators":["srAu1WTS94","Nsiff2A1zJ","zashukvMKz","Ez1Nq5fNfI","wicAB68Tmb","12rbrZMWeM","jBncVCNhdl","kbkesczE7y"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2127","layer":4},{"info":"number node, value=6736","layer":4},{"info":"compute binary expreesion, left_input=2127, right_input=6736, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=8252","layer":4},{"info":"number node, value=3645","layer":4},{"info":"compute binary expreesion, left_input=8252, right_input=3645, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-18827","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-18827, 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=4370","layer":4},{"info":"number node, value=4238","layer":4},{"info":"compute binary expreesion, left_input=4370, right_input=4238, 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=3531","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=3531, right_input=1304, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=868, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1021","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-1021, op_id = Nsiff2A1zJ 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":5,"result_base":5,"text":"⨵≀≌(⇑⪆32002⪬⇑⪆203421)⫗⊷⫓(⇑⪆231002⪝⇑⪆104040)⊴((⇑⪆114440⋭≵⇑⪆113423)⋳⪒(⇑⪆103111≬⋮⇑⪆20204))=NaN","reverse_text":"NaN=⨵≀≌(⇑⪆32002⪬⇑⪆203421)⫗⊷⫓(⇑⪆231002⪝⇑⪆104040)⊴((⇑⪆114440⋭≵⇑⪆113423)⋳⪒(⇑⪆103111≬⋮⇑⪆20204))","cot":[{"info":"⇑⪆32002⪬⇑⪆203421=⇑⪆14414","layer":3},{"info":"⇑⪆231002⪝⇑⪆104040=⇑⪆-1100302","layer":3},{"info":"⇑⪆14414⫗⊷⫓⇑⪆-1100302=⇑⪆-1014","layer":2},{"info":"⇑⪆114440⋭≵⇑⪆113423=⇑⪆232","layer":3},{"info":"⇑⪆103111≬⋮⇑⪆20204=⇑⪆11433","layer":3},{"info":"⇑⪆232⋳⪒⇑⪆11433=⇑⪆-13041","layer":2},{"info":"⇑⪆-1014⊴⇑⪆-13041=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":28,"expression_no_base_symbol":"∤↝(($1883$≫≃)⫳≱↱$4950$⊢$1155$)⨔⇊(($5293$⫥∨⫟$3066$)⩅⪻⪻)","expression":"∤↝((⇑⪆30013≫≃)⫳≱↱⇑⪆124300⊢⇑⪆14110)⨔⇊((⇑⪆132133⫥∨⫟⇑⪆44231)⩅⪻⪻)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":546,"operation_count":7,"complexity_ratio":78.0,"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":1883,"base":5}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":4950,"base":5},"right_expr":{"type":"numeric_atoms","value":1155,"base":5}}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5293,"base":5},"right_expr":{"type":"numeric_atoms","value":3066,"base":5}}}}},"used_operators":["3UMq87Qwqg","JclMnS0uGI","ZvLB05nZmT","X99M06cbEe","5twsqlHp2o","kHoXpA7yos","KYD54nUTWz"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⇑⪆111404","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1883","layer":4},{"info":"compute unary expreesion, input=1883, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5167","layer":3},{"info":"number node, value=4950","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=4950, right_input=1155, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-10144","layer":3},{"info":"compute binary expreesion, left_input=5167, right_input=-10144, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=5293","layer":4},{"info":"number node, value=3066","layer":4},{"info":"compute binary expreesion, left_input=5293, right_input=3066, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":"compute binary expreesion, left_input=-204, right_input=3979, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3979","layer":1},{"info":"compute unary expreesion, input=3979, 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=3979","layer":0}],"base":5,"result_base":5,"text":"∤↝((⇑⪆30013≫≃)⫳≱↱⇑⪆124300⊢⇑⪆14110)⨔⇊((⇑⪆132133⫥∨⫟⇑⪆44231)⩅⪻⪻)=⇑⪆111404","reverse_text":"⇑⪆111404=∤↝((⇑⪆30013≫≃)⫳≱↱⇑⪆124300⊢⇑⪆14110)⨔⇊((⇑⪆132133⫥∨⫟⇑⪆44231)⩅⪻⪻)","cot":[{"info":"⇑⪆30013≫≃=⇑⪆131132","layer":3},{"info":"⇑⪆124300⊢⇑⪆14110=⇑⪆-311034","layer":3},{"info":"⇑⪆131132⫳≱↱⇑⪆-311034=⇑⪆-1304","layer":2},{"info":"⇑⪆132133⫥∨⫟⇑⪆44231=NaN","layer":3},{"info":"NaN⩅⪻⪻=⇑⪆111404","layer":2},{"info":"⇑⪆-1304⨔⇊⇑⪆111404=⇑⪆111404","layer":1},{"info":"∤↝⇑⪆111404=⇑⪆111404","layer":0}]}
{"id":29,"expression_no_base_symbol":"⩰($4418$⨥⫆$6397$⨓($3255$⊍⩺⋍$1395$))∘(($3611$⪮%⊝$1524$)≚⊃≕($4283$⨽$5868$))","expression":"⩰(⇑⪆120133⨥⫆⇑⪆201042⨓(⇑⪆101010⊍⩺⋍⇑⪆21040))∘((⇑⪆103421⪮%⊝⇑⪆22044)≚⊃≕(⇑⪆114113⨽⇑⪆141433))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4564,"operation_count":8,"complexity_ratio":570.5,"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":4418,"base":5},"right_expr":{"type":"numeric_atoms","value":6397,"base":5}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3255,"base":5},"right_expr":{"type":"numeric_atoms","value":1395,"base":5}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3611,"base":5},"right_expr":{"type":"numeric_atoms","value":1524,"base":5}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4283,"base":5},"right_expr":{"type":"numeric_atoms","value":5868,"base":5}}}}},"used_operators":["WkeUrDK8WX","Z5m6OM72h2","3ViojmjbAp","yXekIHxTD4","OXDGMFPWZM","Bmrmz2XGnR","IWmyXbctLI","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","eH2TOUuTDT","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4418","layer":4},{"info":"number node, value=6397","layer":4},{"info":"compute binary expreesion, left_input=4418, right_input=6397, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=12670","layer":3},{"info":"number node, value=3255","layer":4},{"info":"number node, value=1395","layer":4},{"info":"compute binary expreesion, left_input=3255, right_input=1395, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12670, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=3611","layer":4},{"info":"number node, value=1524","layer":4},{"info":"compute binary expreesion, left_input=3611, right_input=1524, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7538","layer":3},{"info":"number node, value=4283","layer":4},{"info":"number node, value=5868","layer":4},{"info":"compute binary expreesion, left_input=4283, right_input=5868, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-55048557","layer":3},{"info":"compute binary expreesion, left_input=7538, right_input=-55048557, 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=-110067128","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-110067128, 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 = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⩰(⇑⪆120133⨥⫆⇑⪆201042⨓(⇑⪆101010⊍⩺⋍⇑⪆21040))∘((⇑⪆103421⪮%⊝⇑⪆22044)≚⊃≕(⇑⪆114113⨽⇑⪆141433))=NaN","reverse_text":"NaN=⩰(⇑⪆120133⨥⫆⇑⪆201042⨓(⇑⪆101010⊍⩺⋍⇑⪆21040))∘((⇑⪆103421⪮%⊝⇑⪆22044)≚⊃≕(⇑⪆114113⨽⇑⪆141433))","cot":[{"info":"⇑⪆120133⨥⫆⇑⪆201042=⇑⪆401140","layer":3},{"info":"⇑⪆101010⊍⩺⋍⇑⪆21040=NaN","layer":3},{"info":"⇑⪆401140⨓NaN=NaN","layer":2},{"info":"⇑⪆103421⪮%⊝⇑⪆22044=⇑⪆220123","layer":3},{"info":"⇑⪆114113⨽⇑⪆141433=⇑⪆-103043023212","layer":3},{"info":"⇑⪆220123≚⊃≕⇑⪆-103043023212=⇑⪆-211134122003","layer":2},{"info":"NaN∘⇑⪆-211134122003=NaN","layer":1},{"info":"⩰NaN=NaN","layer":0}]}
{"id":30,"expression_no_base_symbol":"((⪹$1418$)⊮⊟↴($6422$⨜⨶$4131$)⪡(($2269$≬⇓$2683$)≎⊠⪸$2098$≝⊿$1333$))⫁⪎(⨵≀≌($1153$+⪬∐$1378$↸($3745$∐⫣)))","expression":"((⪹⇑⪆21133)⊮⊟↴(⇑⪆201142⨜⨶⇑⪆113011)⪡((⇑⪆33034≬⇓⇑⪆41213)≎⊠⪸⇑⪆31343≝⊿⇑⪆20313))⫁⪎(⨵≀≌(⇑⪆14103+⪬∐⇑⪆21003↸(⇑⪆104440∐⫣)))","highest_n_order":2,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4157,"operation_count":12,"complexity_ratio":346.4166666666667,"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":1418,"base":5}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":6422,"base":5},"right_expr":{"type":"numeric_atoms","value":4131,"base":5}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2269,"base":5},"right_expr":{"type":"numeric_atoms","value":2683,"base":5}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2098,"base":5},"right_expr":{"type":"numeric_atoms","value":1333,"base":5}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1153,"base":5},"right_expr":{"type":"numeric_atoms","value":1378,"base":5}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":3745,"base":5}}}}},"used_operators":["xRrnTEsQ6j","oraRL2iQuh","QDVgd2eftb","USyYr0JgAa","HiPekx5b7W","bJkvcejdHO","jWTQ2TZYIH","OKKcZfAt5B","srAu1WTS94","1eCjFl0mb9","2GS7woTJqF","4CyGpkTkEk"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","tifHPKVTfV","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","12rbrZMWeM","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","g55IO6H4Gj","D4vGDi5EA2","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg"],"result":"⇑⪆-11030332024","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1418","layer":4},{"info":"compute unary expreesion, input=1418, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1238","layer":3},{"info":"number node, value=6422","layer":4},{"info":"number node, value=4131","layer":4},{"info":"compute binary expreesion, left_input=6422, right_input=4131, 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=-8006","layer":3},{"info":"compute binary expreesion, left_input=-1238, right_input=-8006, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=441421","layer":2},{"info":"number node, value=2269","layer":4},{"info":"number node, value=2683","layer":4},{"info":"compute binary expreesion, left_input=2269, right_input=2683, 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=2098","layer":4},{"info":"number node, value=1333","layer":4},{"info":"compute binary expreesion, left_input=2098, right_input=1333, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5297","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-5297, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=441421, right_input=67, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=42","layer":1},{"info":"number node, value=1153","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=1378, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3459","layer":3},{"info":"number node, value=3745","layer":4},{"info":"compute unary expreesion, input=3745, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute binary expreesion, left_input=-3459, right_input=551, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-3459","layer":2},{"info":"compute unary expreesion, input=-3459, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=11964681","layer":1},{"info":"compute binary expreesion, left_input=42, right_input=11964681, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-11964639","layer":0}],"base":5,"result_base":5,"text":"((⪹⇑⪆21133)⊮⊟↴(⇑⪆201142⨜⨶⇑⪆113011)⪡((⇑⪆33034≬⇓⇑⪆41213)≎⊠⪸⇑⪆31343≝⊿⇑⪆20313))⫁⪎(⨵≀≌(⇑⪆14103+⪬∐⇑⪆21003↸(⇑⪆104440∐⫣)))=⇑⪆-11030332024","reverse_text":"⇑⪆-11030332024=((⪹⇑⪆21133)⊮⊟↴(⇑⪆201142⨜⨶⇑⪆113011)⪡((⇑⪆33034≬⇓⇑⪆41213)≎⊠⪸⇑⪆31343≝⊿⇑⪆20313))⫁⪎(⨵≀≌(⇑⪆14103+⪬∐⇑⪆21003↸(⇑⪆104440∐⫣)))","cot":[{"info":"⪹⇑⪆21133=⇑⪆-14423","layer":3},{"info":"⇑⪆201142⨜⨶⇑⪆113011=⇑⪆-224011","layer":3},{"info":"⇑⪆-14423⊮⊟↴⇑⪆-224011=⇑⪆103111141","layer":2},{"info":"⇑⪆33034≬⇓⇑⪆41213=⇑⪆-42","layer":3},{"info":"⇑⪆31343≝⊿⇑⪆20313=⇑⪆-132142","layer":3},{"info":"⇑⪆-42≎⊠⪸⇑⪆-132142=⇑⪆232","layer":2},{"info":"⇑⪆103111141⪡⇑⪆232=⇑⪆132","layer":1},{"info":"⇑⪆14103+⪬∐⇑⪆21003=⇑⪆-102314","layer":3},{"info":"⇑⪆104440∐⫣=⇑⪆4201","layer":3},{"info":"⇑⪆-102314↸⇑⪆4201=⇑⪆-102314","layer":2},{"info":"⨵≀≌⇑⪆-102314=⇑⪆11030332211","layer":1},{"info":"⇑⪆132⫁⪎⇑⪆11030332211=⇑⪆-11030332024","layer":0}]}
{"id":31,"expression_no_base_symbol":"(($2204$≎⊠⪸$1170$⋷$1248$%$1163$)⪶≀⋏((≅≯⇸$4713$)↫))↠","expression":"((⇑⪆32304≎⊠⪸⇑⪆14140⋷⇑⪆14443%⇑⪆14123)⪶≀⋏((≅≯⇸⇑⪆122323)↫))↠","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":319,"operation_count":7,"complexity_ratio":45.57142857142857,"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":2204,"base":5},"right_expr":{"type":"numeric_atoms","value":1170,"base":5}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1248,"base":5},"right_expr":{"type":"numeric_atoms","value":1163,"base":5}}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":4713,"base":5}}}}},"used_operators":["LBdsKIvxzf","zR4jO40bMj","23Mk6UjR3U","bJkvcejdHO","k8jYdgA6NY","uPb5QRN0te","apS25hmuAe"],"dependent_operators":["d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","EBcxylXtPf","QMFrweE19q"],"result":"⇑⪆-3242","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2204","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=2204, right_input=1170, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=570363","layer":3},{"info":"number node, value=1248","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=1163, op_id = k8jYdgA6NY binary_op_definition= 'None', output=85","layer":3},{"info":"compute binary expreesion, left_input=570363, right_input=85, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-570193","layer":2},{"info":"number node, value=4713","layer":4},{"info":"compute unary expreesion, input=4713, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=26529","layer":3},{"info":"compute unary expreesion, input=26529, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-570193, right_input=160, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=1280","layer":1},{"info":"compute unary expreesion, input=1280, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆32304≎⊠⪸⇑⪆14140⋷⇑⪆14443%⇑⪆14123)⪶≀⋏((≅≯⇸⇑⪆122323)↫))↠=⇑⪆-3242","reverse_text":"⇑⪆-3242=((⇑⪆32304≎⊠⪸⇑⪆14140⋷⇑⪆14443%⇑⪆14123)⪶≀⋏((≅≯⇸⇑⪆122323)↫))↠","cot":[{"info":"⇑⪆32304≎⊠⪸⇑⪆14140=⇑⪆121222423","layer":3},{"info":"⇑⪆14443%⇑⪆14123=⇑⪆320","layer":3},{"info":"⇑⪆121222423⋷⇑⪆320=⇑⪆-121221233","layer":2},{"info":"≅≯⇸⇑⪆122323=⇑⪆1322104","layer":3},{"info":"⇑⪆1322104↫=⇑⪆1120","layer":2},{"info":"⇑⪆-121221233⪶≀⋏⇑⪆1120=⇑⪆20110","layer":1},{"info":"⇑⪆20110↠=⇑⪆-3242","layer":0}]}
{"id":32,"expression_no_base_symbol":"↑($1153$⪒⊣⊆$1459$⪶≀⋏($2807$↸$2826$)↰)","expression":"↑(⇑⪆14103⪒⊣⊆⇑⪆21314⪶≀⋏(⇑⪆42212↸⇑⪆42301)↰)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2872,"operation_count":5,"complexity_ratio":574.4,"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":1153,"base":5},"right_expr":{"type":"numeric_atoms","value":1459,"base":5}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2807,"base":5},"right_expr":{"type":"numeric_atoms","value":2826,"base":5}}}}},"used_operators":["tR7O2zTn5j","bl5wxAcryP","zR4jO40bMj","eRqsBgTDFp","1eCjFl0mb9"],"dependent_operators":["oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","nCS4ZIUYfx","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","W4YGzv6Whe","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"⇑⪆1232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1153","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=1459, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2306","layer":3},{"info":"number node, value=2807","layer":4},{"info":"number node, value=2826","layer":4},{"info":"compute binary expreesion, left_input=2807, right_input=2826, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2807","layer":3},{"info":"compute binary expreesion, left_input=2306, right_input=2807, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-12764","layer":2},{"info":"compute unary expreesion, input=-12764, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=-12865","layer":1},{"info":"compute unary expreesion, input=-12865, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":0}],"base":5,"result_base":5,"text":"↑(⇑⪆14103⪒⊣⊆⇑⪆21314⪶≀⋏(⇑⪆42212↸⇑⪆42301)↰)=⇑⪆1232","reverse_text":"⇑⪆1232=↑(⇑⪆14103⪒⊣⊆⇑⪆21314⪶≀⋏(⇑⪆42212↸⇑⪆42301)↰)","cot":[{"info":"⇑⪆14103⪒⊣⊆⇑⪆21314=⇑⪆33211","layer":3},{"info":"⇑⪆42212↸⇑⪆42301=⇑⪆42212","layer":3},{"info":"⇑⪆33211⪶≀⋏⇑⪆42212=⇑⪆-402024","layer":2},{"info":"⇑⪆-402024↰=⇑⪆-402430","layer":1},{"info":"↑⇑⪆-402430=⇑⪆1232","layer":0}]}
{"id":33,"expression_no_base_symbol":"⇋⊎⋝((($1810$∣$1005$)⩁⩘($1899$⫲≸⪮$5901$))⨔⇊(⋠∜($5594$⋥≓≎$1035$)))","expression":"⇋⊎⋝(((⇑⪆24220∣⇑⪆13010)⩁⩘(⇑⪆30044⫲≸⪮⇑⪆142101))⨔⇊(⋠∜(⇑⪆134334⋥≓≎⇑⪆13120)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2038,"operation_count":7,"complexity_ratio":291.14285714285717,"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":1810,"base":5},"right_expr":{"type":"numeric_atoms","value":1005,"base":5}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1899,"base":5},"right_expr":{"type":"numeric_atoms","value":5901,"base":5}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5594,"base":5},"right_expr":{"type":"numeric_atoms","value":1035,"base":5}}}}},"used_operators":["CzM2PEoXns","JclMnS0uGI","gub5Cegaqo","PPChnnnBFF","P3lXMJvFrc","ZJpFhNJr3x","Qy55tPpLXF"],"dependent_operators":["dWAJyo7jo9","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","DpFCA1CohY","IWmyXbctLI","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1810","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=1005, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1810","layer":3},{"info":"number node, value=1899","layer":4},{"info":"number node, value=5901","layer":4},{"info":"compute binary expreesion, left_input=1899, right_input=5901, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1899","layer":3},{"info":"compute binary expreesion, left_input=1810, right_input=1899, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=8544","layer":2},{"info":"number node, value=5594","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=5594, right_input=1035, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3491","layer":3},{"info":"compute unary expreesion, input=-3491, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=-11680","layer":2},{"info":"compute binary expreesion, left_input=8544, right_input=-11680, 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 unary expreesion, input=67, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⇋⊎⋝(((⇑⪆24220∣⇑⪆13010)⩁⩘(⇑⪆30044⫲≸⪮⇑⪆142101))⨔⇊(⋠∜(⇑⪆134334⋥≓≎⇑⪆13120)))=NaN","reverse_text":"NaN=⇋⊎⋝(((⇑⪆24220∣⇑⪆13010)⩁⩘(⇑⪆30044⫲≸⪮⇑⪆142101))⨔⇊(⋠∜(⇑⪆134334⋥≓≎⇑⪆13120)))","cot":[{"info":"⇑⪆24220∣⇑⪆13010=⇑⪆24220","layer":3},{"info":"⇑⪆30044⫲≸⪮⇑⪆142101=⇑⪆30044","layer":3},{"info":"⇑⪆24220⩁⩘⇑⪆30044=⇑⪆233134","layer":2},{"info":"⇑⪆134334⋥≓≎⇑⪆13120=⇑⪆-102431","layer":3},{"info":"⋠∜⇑⪆-102431=⇑⪆-333210","layer":2},{"info":"⇑⪆233134⨔⇊⇑⪆-333210=⇑⪆232","layer":1},{"info":"⇋⊎⋝⇑⪆232=NaN","layer":0}]}
{"id":34,"expression_no_base_symbol":"(($8319$⩨$2900$⇼⇔∾$7284$⩍⋽⫝̸$7207$)↺(≇⪴($2800$⊨$1068$)))⊮⊟↴(↣≠⋷($1482$⪃⊛⇣$2943$⊔$4673$⨼⩣$1334$))","expression":"((⇑⪆231234⩨⇑⪆43100⇼⇔∾⇑⪆213114⩍⋽⫝̸⇑⪆212312)↺(≇⪴(⇑⪆42200⊨⇑⪆13233)))⊮⊟↴(↣≠⋷(⇑⪆21412⪃⊛⇣⇑⪆43233⊔⇑⪆122143⨼⩣⇑⪆20314))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1043,"operation_count":11,"complexity_ratio":94.81818181818181,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8319,"base":5},"right_expr":{"type":"numeric_atoms","value":2900,"base":5}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":7284,"base":5},"right_expr":{"type":"numeric_atoms","value":7207,"base":5}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2800,"base":5},"right_expr":{"type":"numeric_atoms","value":1068,"base":5}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1482,"base":5},"right_expr":{"type":"numeric_atoms","value":2943,"base":5}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4673,"base":5},"right_expr":{"type":"numeric_atoms","value":1334,"base":5}}}}},"used_operators":["QDVgd2eftb","7j4O788W3g","tifHPKVTfV","2DlMacCsIx","BiWNJpBvwn","zoVPnxeHJ3","vg4gO5BX6G","Asc51vEJeQ","E4l6HwMY31","rrgAzCduG9","JxwMv5le6e"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Ph9nP6C5qx","xUOZtlo3hN","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8319","layer":4},{"info":"number node, value=2900","layer":4},{"info":"compute binary expreesion, left_input=8319, right_input=2900, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=7284","layer":4},{"info":"number node, value=7207","layer":4},{"info":"compute binary expreesion, left_input=7284, right_input=7207, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=6261","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6261, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6261","layer":2},{"info":"number node, value=2800","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=2800, right_input=1068, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=12231","layer":3},{"info":"compute unary expreesion, input=12231, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-35353","layer":2},{"info":"compute binary expreesion, left_input=6261, right_input=-35353, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-35353","layer":1},{"info":"number node, value=1482","layer":4},{"info":"number node, value=2943","layer":4},{"info":"compute binary expreesion, left_input=1482, right_input=2943, 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=4673","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=4673, right_input=1334, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-35353, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆231234⩨⇑⪆43100⇼⇔∾⇑⪆213114⩍⋽⫝̸⇑⪆212312)↺(≇⪴(⇑⪆42200⊨⇑⪆13233)))⊮⊟↴(↣≠⋷(⇑⪆21412⪃⊛⇣⇑⪆43233⊔⇑⪆122143⨼⩣⇑⪆20314))=NaN","reverse_text":"NaN=((⇑⪆231234⩨⇑⪆43100⇼⇔∾⇑⪆213114⩍⋽⫝̸⇑⪆212312)↺(≇⪴(⇑⪆42200⊨⇑⪆13233)))⊮⊟↴(↣≠⋷(⇑⪆21412⪃⊛⇣⇑⪆43233⊔⇑⪆122143⨼⩣⇑⪆20314))","cot":[{"info":"⇑⪆231234⩨⇑⪆43100=⇑⪆0","layer":3},{"info":"⇑⪆213114⩍⋽⫝̸⇑⪆212312=⇑⪆200021","layer":3},{"info":"⇑⪆0⇼⇔∾⇑⪆200021=⇑⪆200021","layer":2},{"info":"⇑⪆42200⊨⇑⪆13233=⇑⪆342411","layer":3},{"info":"≇⪴⇑⪆342411=⇑⪆-2112403","layer":2},{"info":"⇑⪆200021↺⇑⪆-2112403=⇑⪆-2112403","layer":1},{"info":"⇑⪆21412⪃⊛⇣⇑⪆43233=⇑⪆14414","layer":3},{"info":"⇑⪆122143⨼⩣⇑⪆20314=NaN","layer":3},{"info":"⇑⪆14414⊔NaN=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"⇑⪆-2112403⊮⊟↴NaN=NaN","layer":0}]}
{"id":35,"expression_no_base_symbol":"⪲⇎($1615$⨐⩸⫘$1111$∪⫐$1073$∓⋝$4896$⪨≂($5670$⊬⨰$4542$)↞⋁(⨂⪏⇭$8277$))","expression":"⪲⇎(⇑⪆22430⨐⩸⫘⇑⪆13421∪⫐⇑⪆13243∓⋝⇑⪆124041⪨≂(⇑⪆140140⊬⨰⇑⪆121132)↞⋁(⨂⪏⇭⇑⪆231102))","highest_n_order":5,"priority_hierarchical_complexity":6,"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":1615,"base":5},"right_expr":{"type":"numeric_atoms","value":1111,"base":5}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1073,"base":5},"right_expr":{"type":"numeric_atoms","value":4896,"base":5}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":5670,"base":5},"right_expr":{"type":"numeric_atoms","value":4542,"base":5}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":8277,"base":5}}}}},"used_operators":["XPYlsWDdGa","sdazOOVcIp","7YooWSwCyH","fu6greOZ01","PoHhknlbAi","RqrPlJkxDo","s3Fd5m9Dh2","AYdpE9sXAk"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","3ViojmjbAp","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1615","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=1615, right_input=1111, 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=1073","layer":4},{"info":"number node, value=4896","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=4896, 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 = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":2},{"info":"number node, value=5670","layer":4},{"info":"number node, value=4542","layer":4},{"info":"compute binary expreesion, left_input=5670, right_input=4542, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=22782","layer":3},{"info":"number node, value=8277","layer":4},{"info":"compute unary expreesion, input=8277, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=23852","layer":3},{"info":"compute binary expreesion, left_input=22782, right_input=23852, 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 = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⪲⇎(⇑⪆22430⨐⩸⫘⇑⪆13421∪⫐⇑⪆13243∓⋝⇑⪆124041⪨≂(⇑⪆140140⊬⨰⇑⪆121132)↞⋁(⨂⪏⇭⇑⪆231102))=NaN","reverse_text":"NaN=⪲⇎(⇑⪆22430⨐⩸⫘⇑⪆13421∪⫐⇑⪆13243∓⋝⇑⪆124041⪨≂(⇑⪆140140⊬⨰⇑⪆121132)↞⋁(⨂⪏⇭⇑⪆231102))","cot":[{"info":"⇑⪆22430⨐⩸⫘⇑⪆13421=NaN","layer":3},{"info":"⇑⪆13243∓⋝⇑⪆124041=⇑⪆232","layer":3},{"info":"NaN∪⫐⇑⪆232=NaN","layer":2},{"info":"⇑⪆140140⊬⨰⇑⪆121132=⇑⪆1212112","layer":3},{"info":"⨂⪏⇭⇑⪆231102=⇑⪆1230402","layer":3},{"info":"⇑⪆1212112↞⋁⇑⪆1230402=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":36,"expression_no_base_symbol":"(($1642$⨴∎)+$2420$⪚$1046$)⨑⩅≇((⩏⊷≩$3843$)∕⩚$6556$⇄$3842$)⊋≦⊧(⊁⨺(⨵≀≌($1162$⊴⇁⪶)))","expression":"((⇑⪆23032⨴∎)+⇑⪆34140⪚⇑⪆13141)⨑⩅≇((⩏⊷≩⇑⪆110333)∕⩚⇑⪆202211⇄⇑⪆110332)⊋≦⊧(⊁⨺(⨵≀≌(⇑⪆14122⊴⇁⪶)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3198,"operation_count":11,"complexity_ratio":290.72727272727275,"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":1642,"base":5}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2420,"base":5},"right_expr":{"type":"numeric_atoms","value":1046,"base":5}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":3843,"base":5}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":6556,"base":5},"right_expr":{"type":"numeric_atoms","value":3842,"base":5}}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":1162,"base":5}}}}},"used_operators":["oRDoc9rAEX","h92wMvzauj","W4YGzv6Whe","CpSg5vQTgA","HrjLwUk87U","z9ffQ9n5Zr","uOZ1tnYMDE","3EYGwJThht","PxiHyQbrIp","srAu1WTS94","oo9mF6JIpo"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","23Mk6UjR3U","12rbrZMWeM","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE"],"result":"⇑⪆142444021","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1642","layer":4},{"info":"compute unary expreesion, input=1642, 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=2420","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=2420, right_input=1046, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=2392","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2392, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3843","layer":4},{"info":"compute unary expreesion, input=3843, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=7385","layer":3},{"info":"number node, value=6556","layer":4},{"info":"number node, value=3842","layer":4},{"info":"compute binary expreesion, left_input=6556, right_input=3842, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=7385, right_input=0, 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=nan, right_input=-487, 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=1162","layer":4},{"info":"compute unary expreesion, input=1162, 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=17886","layer":3},{"info":"compute unary expreesion, input=17886, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-53658","layer":2},{"info":"compute unary expreesion, input=-53658, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-374823","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=-374823, 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=749886","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆23032⨴∎)+⇑⪆34140⪚⇑⪆13141)⨑⩅≇((⩏⊷≩⇑⪆110333)∕⩚⇑⪆202211⇄⇑⪆110332)⊋≦⊧(⊁⨺(⨵≀≌(⇑⪆14122⊴⇁⪶)))=⇑⪆142444021","reverse_text":"⇑⪆142444021=((⇑⪆23032⨴∎)+⇑⪆34140⪚⇑⪆13141)⨑⩅≇((⩏⊷≩⇑⪆110333)∕⩚⇑⪆202211⇄⇑⪆110332)⊋≦⊧(⊁⨺(⨵≀≌(⇑⪆14122⊴⇁⪶)))","cot":[{"info":"⇑⪆23032⨴∎=NaN","layer":3},{"info":"⇑⪆34140⪚⇑⪆13141=⇑⪆34032","layer":3},{"info":"NaN+⇑⪆34032=NaN","layer":2},{"info":"⩏⊷≩⇑⪆110333=⇑⪆214020","layer":3},{"info":"⇑⪆202211⇄⇑⪆110332=⇑⪆0","layer":3},{"info":"⇑⪆214020∕⩚⇑⪆0=⇑⪆-3422","layer":2},{"info":"NaN⨑⩅≇⇑⪆-3422=⇑⪆12220","layer":1},{"info":"⇑⪆14122⊴⇁⪶=⇑⪆1033021","layer":3},{"info":"⨵≀≌⇑⪆1033021=⇑⪆-3204113","layer":2},{"info":"⊁⨺⇑⪆-3204113=⇑⪆-43443243","layer":1},{"info":"⇑⪆12220⊋≦⊧⇑⪆-43443243=⇑⪆142444021","layer":0}]}
{"id":37,"expression_no_base_symbol":"(((↑$1004$)∩⋅)⨸⪁$3587$⊋≦⊧$1367$⊹∫⫚(⇜$2026$))⫑%∭","expression":"(((↑⇑⪆13004)∩⋅)⨸⪁⇑⪆103322⊋≦⊧⇑⪆20432⊹∫⫚(⇜⇑⪆31101))⫑%∭","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1525,"operation_count":7,"complexity_ratio":217.85714285714286,"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":1004,"base":5}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3587,"base":5},"right_expr":{"type":"numeric_atoms","value":1367,"base":5}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":2026,"base":5}}}}},"used_operators":["xUx7qlDO4z","g55IO6H4Gj","2MzE1hQ0cz","tR7O2zTn5j","uWAJUKEvyW","oRDoc9rAEX","lFBm8KRb8F"],"dependent_operators":["GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","W4YGzv6Whe","Qy55tPpLXF","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":4},{"info":"compute unary expreesion, input=1004, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute unary expreesion, input=192, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-71","layer":2},{"info":"number node, value=3587","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=3587, right_input=1367, 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=-2494","layer":3},{"info":"number node, value=2026","layer":4},{"info":"compute unary expreesion, input=2026, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-16616","layer":3},{"info":"compute binary expreesion, left_input=-2494, right_input=-16616, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-332","layer":2},{"info":"compute binary expreesion, left_input=-71, right_input=-332, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-806","layer":1},{"info":"compute unary expreesion, input=-806, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(((↑⇑⪆13004)∩⋅)⨸⪁⇑⪆103322⊋≦⊧⇑⪆20432⊹∫⫚(⇜⇑⪆31101))⫑%∭=NaN","reverse_text":"NaN=(((↑⇑⪆13004)∩⋅)⨸⪁⇑⪆103322⊋≦⊧⇑⪆20432⊹∫⫚(⇜⇑⪆31101))⫑%∭","cot":[{"info":"↑⇑⪆13004=⇑⪆1232","layer":3},{"info":"⇑⪆1232∩⋅=⇑⪆-241","layer":2},{"info":"⇑⪆103322⊋≦⊧⇑⪆20432=⇑⪆-34434","layer":3},{"info":"⇜⇑⪆31101=⇑⪆-1012431","layer":3},{"info":"⇑⪆-34434⊹∫⫚⇑⪆-1012431=⇑⪆-2312","layer":2},{"info":"⇑⪆-241⨸⪁⇑⪆-2312=⇑⪆-11211","layer":1},{"info":"⇑⪆-11211⫑%∭=NaN","layer":0}]}
{"id":38,"expression_no_base_symbol":"((∨∊⋏$4570$)≧⫂∧($7273$⩹$5220$))⇻⋧≁($1898$⪶≀⋏$1456$⇄$3767$↬$4573$)⫥∨⫟($3517$≎⪠$3397$⫉⨲⊜$4843$⨼⩣$7844$∙⊟($2410$⫽⇹≛)⪛⫼($1744$⫡⨏$4359$))","expression":"((∨∊⋏⇑⪆121240)≧⫂∧(⇑⪆213043⩹⇑⪆131340))⇻⋧≁(⇑⪆30043⪶≀⋏⇑⪆21311⇄⇑⪆110032↬⇑⪆121243)⫥∨⫟(⇑⪆103032≎⪠⇑⪆102042⫉⨲⊜⇑⪆123333⨼⩣⇑⪆222334∙⊟(⇑⪆34120⫽⇹≛)⪛⫼(⇑⪆23434⫡⨏⇑⪆114414))","highest_n_order":5,"priority_hierarchical_complexity":15,"normalized_expansion_degree":24721,"operation_count":15,"complexity_ratio":1648.0666666666666,"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":4570,"base":5}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":7273,"base":5},"right_expr":{"type":"numeric_atoms","value":5220,"base":5}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1898,"base":5},"right_expr":{"type":"numeric_atoms","value":1456,"base":5}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3767,"base":5},"right_expr":{"type":"numeric_atoms","value":4573,"base":5}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3517,"base":5},"right_expr":{"type":"numeric_atoms","value":3397,"base":5}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4843,"base":5},"right_expr":{"type":"numeric_atoms","value":7844,"base":5}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":2410,"base":5}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1744,"base":5},"right_expr":{"type":"numeric_atoms","value":4359,"base":5}}}}},"used_operators":["KYD54nUTWz","jCPkEVoL5K","Ph9nP6C5qx","R5aXW34M0v","2Wsdkap16l","3EYGwJThht","zR4jO40bMj","B5M0gjZbta","SxTAKzQCrw","WhqkvtTD3t","aNhz54LH3e","JxwMv5le6e","hyuBjUqXlG","NNaDxxp6OQ","QMFrweE19q"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rGHVDoGpnC","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","eewbuw0ToL","zVYPLywUTj","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4570","layer":4},{"info":"compute unary expreesion, input=4570, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=96479","layer":3},{"info":"number node, value=7273","layer":4},{"info":"number node, value=5220","layer":4},{"info":"compute binary expreesion, left_input=7273, right_input=5220, 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=5218","layer":3},{"info":"compute binary expreesion, left_input=96479, right_input=5218, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4745","layer":2},{"info":"number node, value=1898","layer":4},{"info":"number node, value=1456","layer":4},{"info":"compute binary expreesion, left_input=1898, right_input=1456, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-8838","layer":3},{"info":"number node, value=3767","layer":4},{"info":"number node, value=4573","layer":4},{"info":"compute binary expreesion, left_input=3767, right_input=4573, 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=-8838, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4745, 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=3517","layer":4},{"info":"number node, value=3397","layer":4},{"info":"compute binary expreesion, left_input=3517, right_input=3397, 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=4843","layer":4},{"info":"number node, value=7844","layer":4},{"info":"compute binary expreesion, left_input=4843, right_input=7844, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"number node, value=2410","layer":4},{"info":"compute unary expreesion, input=2410, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"number node, value=1744","layer":4},{"info":"number node, value=4359","layer":4},{"info":"compute binary expreesion, left_input=1744, right_input=4359, 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=18221","layer":3},{"info":"compute binary expreesion, left_input=272, right_input=18221, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=968, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22285","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=22285, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((∨∊⋏⇑⪆121240)≧⫂∧(⇑⪆213043⩹⇑⪆131340))⇻⋧≁(⇑⪆30043⪶≀⋏⇑⪆21311⇄⇑⪆110032↬⇑⪆121243)⫥∨⫟(⇑⪆103032≎⪠⇑⪆102042⫉⨲⊜⇑⪆123333⨼⩣⇑⪆222334∙⊟(⇑⪆34120⫽⇹≛)⪛⫼(⇑⪆23434⫡⨏⇑⪆114414))=NaN","reverse_text":"NaN=((∨∊⋏⇑⪆121240)≧⫂∧(⇑⪆213043⩹⇑⪆131340))⇻⋧≁(⇑⪆30043⪶≀⋏⇑⪆21311⇄⇑⪆110032↬⇑⪆121243)⫥∨⫟(⇑⪆103032≎⪠⇑⪆102042⫉⨲⊜⇑⪆123333⨼⩣⇑⪆222334∙⊟(⇑⪆34120⫽⇹≛)⪛⫼(⇑⪆23434⫡⨏⇑⪆114414))","cot":[{"info":"∨∊⋏⇑⪆121240=⇑⪆11041404","layer":3},{"info":"⇑⪆213043⩹⇑⪆131340=⇑⪆131333","layer":3},{"info":"⇑⪆11041404≧⫂∧⇑⪆131333=⇑⪆122440","layer":2},{"info":"⇑⪆30043⪶≀⋏⇑⪆21311=⇑⪆-240323","layer":3},{"info":"⇑⪆110032↬⇑⪆121243=NaN","layer":3},{"info":"⇑⪆-240323⇄NaN=NaN","layer":2},{"info":"⇑⪆122440⇻⋧≁NaN=⇑⪆-3242","layer":1},{"info":"⇑⪆103032≎⪠⇑⪆102042=⇑⪆1111213","layer":3},{"info":"⇑⪆123333⨼⩣⇑⪆222334=NaN","layer":3},{"info":"⇑⪆1111213⫉⨲⊜NaN=⇑⪆0","layer":2},{"info":"⇑⪆34120⫽⇹≛=⇑⪆2042","layer":3},{"info":"⇑⪆23434⫡⨏⇑⪆114414=⇑⪆1040341","layer":3},{"info":"⇑⪆2042⪛⫼⇑⪆1040341=⇑⪆12333","layer":2},{"info":"⇑⪆0∙⊟⇑⪆12333=⇑⪆1203120","layer":1},{"info":"⇑⪆-3242⫥∨⫟⇑⪆1203120=NaN","layer":0}]}
{"id":39,"expression_no_base_symbol":"($1164$⩒⫫$2483$⪇≇⋚$4611$⪡$5286$⪭≯($1290$↺$1700$)∴(↴⪽⋼$1166$))↢($1107$∊∟⩊$6321$⨸⪁(⇋↷$8401$))⩦(↸⊣$3262$↳∿⪆$3088$)","expression":"(⇑⪆14124⩒⫫⇑⪆34413⪇≇⋚⇑⪆121421⪡⇑⪆132121⪭≯(⇑⪆20130↺⇑⪆23300)∴(↴⪽⋼⇑⪆14131))↢(⇑⪆13412∊∟⩊⇑⪆200241⨸⪁(⇋↷⇑⪆232101))⩦(↸⊣⇑⪆101022↳∿⪆⇑⪆44323)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2719,"operation_count":14,"complexity_ratio":194.21428571428572,"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":1164,"base":5},"right_expr":{"type":"numeric_atoms","value":2483,"base":5}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4611,"base":5},"right_expr":{"type":"numeric_atoms","value":5286,"base":5}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1290,"base":5},"right_expr":{"type":"numeric_atoms","value":1700,"base":5}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":1166,"base":5}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1107,"base":5},"right_expr":{"type":"numeric_atoms","value":6321,"base":5}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":8401,"base":5}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3262,"base":5},"right_expr":{"type":"numeric_atoms","value":3088,"base":5}}}}},"used_operators":["WR6HLWljOP","XAx5wpdLa6","3sJ7IOPOlU","KFSx94NKJn","oraRL2iQuh","hrf7POJlIJ","7j4O788W3g","5TUYCnJO6w","0kmYd0q39Y","g55IO6H4Gj","ddLRYrp01A","SWo3A1KBJH","wztAlM01eG","Cw4SuJJGHO"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","t8gj7n24qd","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1164","layer":4},{"info":"number node, value=2483","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=2483, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=862","layer":3},{"info":"number node, value=4611","layer":4},{"info":"number node, value=5286","layer":4},{"info":"compute binary expreesion, left_input=4611, right_input=5286, 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=862, right_input=107, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=1290","layer":4},{"info":"number node, value=1700","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=1700, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1700","layer":3},{"info":"number node, value=1166","layer":4},{"info":"compute unary expreesion, input=1166, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1166","layer":3},{"info":"compute binary expreesion, left_input=1700, right_input=1166, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5048","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=5048, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=1107","layer":4},{"info":"number node, value=6321","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=6321, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=6321","layer":3},{"info":"number node, value=8401","layer":4},{"info":"compute unary expreesion, input=8401, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=67208","layer":3},{"info":"compute binary expreesion, left_input=6321, right_input=67208, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=147058","layer":2},{"info":"number node, value=3262","layer":4},{"info":"number node, value=3088","layer":4},{"info":"compute binary expreesion, left_input=3262, right_input=3088, 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 = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=147058, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=294116","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=294116, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆14124⩒⫫⇑⪆34413⪇≇⋚⇑⪆121421⪡⇑⪆132121⪭≯(⇑⪆20130↺⇑⪆23300)∴(↴⪽⋼⇑⪆14131))↢(⇑⪆13412∊∟⩊⇑⪆200241⨸⪁(⇋↷⇑⪆232101))⩦(↸⊣⇑⪆101022↳∿⪆⇑⪆44323)=NaN","reverse_text":"NaN=(⇑⪆14124⩒⫫⇑⪆34413⪇≇⋚⇑⪆121421⪡⇑⪆132121⪭≯(⇑⪆20130↺⇑⪆23300)∴(↴⪽⋼⇑⪆14131))↢(⇑⪆13412∊∟⩊⇑⪆200241⨸⪁(⇋↷⇑⪆232101))⩦(↸⊣⇑⪆101022↳∿⪆⇑⪆44323)","cot":[{"info":"⇑⪆14124⩒⫫⇑⪆34413=⇑⪆11422","layer":3},{"info":"⇑⪆121421⪡⇑⪆132121=⇑⪆412","layer":3},{"info":"⇑⪆11422⪇≇⋚⇑⪆412=⇑⪆0","layer":2},{"info":"⇑⪆20130↺⇑⪆23300=⇑⪆23300","layer":3},{"info":"↴⪽⋼⇑⪆14131=⇑⪆14131","layer":3},{"info":"⇑⪆23300∴⇑⪆14131=⇑⪆130143","layer":2},{"info":"⇑⪆0⪭≯⇑⪆130143=NaN","layer":1},{"info":"⇑⪆13412∊∟⩊⇑⪆200241=⇑⪆200241","layer":3},{"info":"⇋↷⇑⪆232101=⇑⪆4122313","layer":3},{"info":"⇑⪆200241⨸⪁⇑⪆4122313=⇑⪆14201213","layer":2},{"info":"⇑⪆101022↳∿⪆⇑⪆44323=NaN","layer":3},{"info":"↸⊣NaN=NaN","layer":2},{"info":"⇑⪆14201213⩦NaN=⇑⪆33402431","layer":1},{"info":"NaN↢⇑⪆33402431=NaN","layer":0}]}
{"id":40,"expression_no_base_symbol":"⩏⊷≩(($2109$⨲∙)≒∊$1938$⪬$2820$)≁(⩏⊷≩$2804$⩍⋽⫝̸$4283$)","expression":"⩏⊷≩((⇑⪆31414⨲∙)≒∊⇑⪆30223⪬⇑⪆42240)≁(⩏⊷≩⇑⪆42204⩍⋽⫝̸⇑⪆114113)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1135,"operation_count":7,"complexity_ratio":162.14285714285714,"tree":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":2109,"base":5}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1938,"base":5},"right_expr":{"type":"numeric_atoms","value":2820,"base":5}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2804,"base":5},"right_expr":{"type":"numeric_atoms","value":4283,"base":5}}}}},"used_operators":["uOZ1tnYMDE","8N2wDY1A35","5KTvxBwnZo","cRahaglYVE","Ez1Nq5fNfI","BiWNJpBvwn"],"dependent_operators":["23Mk6UjR3U","12rbrZMWeM","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Ph9nP6C5qx","xUOZtlo3hN"],"result":"⇑⪆32413301","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2109","layer":4},{"info":"compute unary expreesion, input=2109, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=26658594","layer":3},{"info":"number node, value=1938","layer":4},{"info":"number node, value=2820","layer":4},{"info":"compute binary expreesion, left_input=1938, right_input=2820, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=26658594, right_input=1234, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-26658110","layer":2},{"info":"number node, value=2804","layer":4},{"info":"number node, value=4283","layer":4},{"info":"compute binary expreesion, left_input=2804, right_input=4283, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3337","layer":3},{"info":"compute unary expreesion, input=3337, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=6373","layer":2},{"info":"compute binary expreesion, left_input=-26658110, right_input=6373, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=139751","layer":1},{"info":"compute unary expreesion, input=139751, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=279201","layer":0}],"base":5,"result_base":5,"text":"⩏⊷≩((⇑⪆31414⨲∙)≒∊⇑⪆30223⪬⇑⪆42240)≁(⩏⊷≩⇑⪆42204⩍⋽⫝̸⇑⪆114113)=⇑⪆32413301","reverse_text":"⇑⪆32413301=⩏⊷≩((⇑⪆31414⨲∙)≒∊⇑⪆30223⪬⇑⪆42240)≁(⩏⊷≩⇑⪆42204⩍⋽⫝̸⇑⪆114113)","cot":[{"info":"⇑⪆31414⨲∙=⇑⪆23311033334","layer":3},{"info":"⇑⪆30223⪬⇑⪆42240=⇑⪆14414","layer":3},{"info":"⇑⪆23311033334≒∊⇑⪆14414=⇑⪆-23311024420","layer":2},{"info":"⇑⪆42204⩍⋽⫝̸⇑⪆114113=⇑⪆101322","layer":3},{"info":"⩏⊷≩⇑⪆101322=⇑⪆200443","layer":2},{"info":"⇑⪆-23311024420≁⇑⪆200443=⇑⪆13433001","layer":1},{"info":"⩏⊷≩⇑⪆13433001=⇑⪆32413301","layer":0}]}
{"id":41,"expression_no_base_symbol":"(⊖∈$1470$)≦↸(∟⋨$1011$)⪒⊣⊆($3019$≹⇙⪍$1493$⪚($5325$⪛⫼$2572$))∙∹∝($5952$⊱⇼⊻$2161$∪⫐$1367$∙∹∝$5753$)∝((⇋↷$2654$)∷$2500$⩁⩘$2397$)","expression":"(⊖∈⇑⪆21340)≦↸(∟⋨⇑⪆13021)⪒⊣⊆(⇑⪆44034≹⇙⪍⇑⪆21433⪚(⇑⪆132300⪛⫼⇑⪆40242))∙∹∝(⇑⪆142302⊱⇼⊻⇑⪆32121∪⫐⇑⪆20432∙∹∝⇑⪆141003)∝((⇋↷⇑⪆41104)∷⇑⪆40000⩁⩘⇑⪆34042)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1366,"operation_count":15,"complexity_ratio":91.06666666666666,"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":1470,"base":5}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1011,"base":5}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3019,"base":5},"right_expr":{"type":"numeric_atoms","value":1493,"base":5}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":5325,"base":5},"right_expr":{"type":"numeric_atoms","value":2572,"base":5}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":5952,"base":5},"right_expr":{"type":"numeric_atoms","value":2161,"base":5}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1367,"base":5},"right_expr":{"type":"numeric_atoms","value":5753,"base":5}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":2654,"base":5}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2500,"base":5},"right_expr":{"type":"numeric_atoms","value":2397,"base":5}}}}},"used_operators":["HmxsFra2vL","eRqsBgTDFp","RygbFNSyEJ","YFxL8Sc2Zy","ctOc4cKSDt","HrjLwUk87U","AHs5Up7iyr","hyuBjUqXlG","cTDWOvIxvz","7YooWSwCyH","FyVja0WsTP","D3AQDKkPcf","SWo3A1KBJH","gub5Cegaqo"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","sdazOOVcIp","W4YGzv6Whe","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","eLAdDNolq6","tmPS8pqC7x","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","dWAJyo7jo9","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9FxExcQeMw","NTOWxs364D","7j4O788W3g","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1470","layer":4},{"info":"compute unary expreesion, input=1470, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=23806","layer":3},{"info":"number node, value=1011","layer":4},{"info":"compute unary expreesion, input=1011, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=23806, right_input=-527, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-23125","layer":2},{"info":"number node, value=3019","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=3019, right_input=1493, 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=5325","layer":4},{"info":"number node, value=2572","layer":4},{"info":"compute binary expreesion, left_input=5325, right_input=2572, 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 = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-23125, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":1},{"info":"number node, value=5952","layer":4},{"info":"number node, value=2161","layer":4},{"info":"compute binary expreesion, left_input=5952, right_input=2161, 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=1367","layer":4},{"info":"number node, value=5753","layer":4},{"info":"compute binary expreesion, left_input=1367, right_input=5753, 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=434, right_input=0, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=434","layer":2},{"info":"number node, value=2654","layer":4},{"info":"compute unary expreesion, input=2654, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=21232","layer":3},{"info":"number node, value=2500","layer":4},{"info":"number node, value=2397","layer":4},{"info":"compute binary expreesion, left_input=2500, right_input=2397, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=10536","layer":3},{"info":"compute binary expreesion, left_input=21232, right_input=10536, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=10536","layer":2},{"info":"compute binary expreesion, left_input=434, right_input=10536, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=439","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=439, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⊖∈⇑⪆21340)≦↸(∟⋨⇑⪆13021)⪒⊣⊆(⇑⪆44034≹⇙⪍⇑⪆21433⪚(⇑⪆132300⪛⫼⇑⪆40242))∙∹∝(⇑⪆142302⊱⇼⊻⇑⪆32121∪⫐⇑⪆20432∙∹∝⇑⪆141003)∝((⇋↷⇑⪆41104)∷⇑⪆40000⩁⩘⇑⪆34042)=NaN","reverse_text":"NaN=(⊖∈⇑⪆21340)≦↸(∟⋨⇑⪆13021)⪒⊣⊆(⇑⪆44034≹⇙⪍⇑⪆21433⪚(⇑⪆132300⪛⫼⇑⪆40242))∙∹∝(⇑⪆142302⊱⇼⊻⇑⪆32121∪⫐⇑⪆20432∙∹∝⇑⪆141003)∝((⇋↷⇑⪆41104)∷⇑⪆40000⩁⩘⇑⪆34042)","cot":[{"info":"⊖∈⇑⪆21340=⇑⪆1230211","layer":3},{"info":"∟⋨⇑⪆13021=⇑⪆-4102","layer":3},{"info":"⇑⪆1230211≦↸⇑⪆-4102=⇑⪆-1220000","layer":2},{"info":"⇑⪆44034≹⇙⪍⇑⪆21433=NaN","layer":3},{"info":"⇑⪆132300⪛⫼⇑⪆40242=⇑⪆12333","layer":3},{"info":"NaN⪚⇑⪆12333=NaN","layer":2},{"info":"⇑⪆-1220000⪒⊣⊆NaN=NaN","layer":1},{"info":"⇑⪆142302⊱⇼⊻⇑⪆32121=⇑⪆3214","layer":3},{"info":"⇑⪆20432∙∹∝⇑⪆141003=⇑⪆0","layer":3},{"info":"⇑⪆3214∪⫐⇑⪆0=⇑⪆3214","layer":2},{"info":"⇋↷⇑⪆41104=⇑⪆1134412","layer":3},{"info":"⇑⪆40000⩁⩘⇑⪆34042=⇑⪆314121","layer":3},{"info":"⇑⪆1134412∷⇑⪆314121=⇑⪆314121","layer":2},{"info":"⇑⪆3214∝⇑⪆314121=⇑⪆3224","layer":1},{"info":"NaN∙∹∝⇑⪆3224=NaN","layer":0}]}
{"id":42,"expression_no_base_symbol":"⪨⨬((≑⋹($2464$⩵∡$2095$))≁($1113$∥⊢⊲$3246$⇼⇔∾$5634$⊬⨰$1226$))","expression":"⪨⨬((≑⋹(⇑⪆34324⩵∡⇑⪆31340))≁(⇑⪆13423∥⊢⊲⇑⪆100441⇼⇔∾⇑⪆140014⊬⨰⇑⪆14401))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3373,"operation_count":7,"complexity_ratio":481.85714285714283,"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":2464,"base":5},"right_expr":{"type":"numeric_atoms","value":2095,"base":5}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1113,"base":5},"right_expr":{"type":"numeric_atoms","value":3246,"base":5}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":5634,"base":5},"right_expr":{"type":"numeric_atoms","value":1226,"base":5}}}}},"used_operators":["5obUd6DV38","8N2wDY1A35","6B9nyZLogK","Y7wcNGrDQJ","tifHPKVTfV","v1UQAVDJRr","s3Fd5m9Dh2"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2464","layer":4},{"info":"number node, value=2095","layer":4},{"info":"compute binary expreesion, left_input=2464, right_input=2095, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-2954","layer":3},{"info":"compute unary expreesion, input=-2954, 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=1113","layer":4},{"info":"number node, value=3246","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=3246, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=5634","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=5634, right_input=1226, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=9482","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9482, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-766, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⪨⨬((≑⋹(⇑⪆34324⩵∡⇑⪆31340))≁(⇑⪆13423∥⊢⊲⇑⪆100441⇼⇔∾⇑⪆140014⊬⨰⇑⪆14401))=NaN","reverse_text":"NaN=⪨⨬((≑⋹(⇑⪆34324⩵∡⇑⪆31340))≁(⇑⪆13423∥⊢⊲⇑⪆100441⇼⇔∾⇑⪆140014⊬⨰⇑⪆14401))","cot":[{"info":"⇑⪆34324⩵∡⇑⪆31340=⇑⪆-43304","layer":3},{"info":"≑⋹⇑⪆-43304=⇑⪆-11031","layer":2},{"info":"⇑⪆13423∥⊢⊲⇑⪆100441=NaN","layer":3},{"info":"⇑⪆140014⊬⨰⇑⪆14401=⇑⪆300412","layer":3},{"info":"NaN⇼⇔∾⇑⪆300412=NaN","layer":2},{"info":"⇑⪆-11031≁NaN=NaN","layer":1},{"info":"⪨⨬NaN=NaN","layer":0}]}
{"id":43,"expression_no_base_symbol":"⊤⊝(⇋⊎⋝$1405$)⪛⫼($2261$⊊)↸(∷≠$9678$)+⇶⊼(↸⊣$3486$)","expression":"⊤⊝(⇋⊎⋝⇑⪆21110)⪛⫼(⇑⪆33021⊊)↸(∷≠⇑⪆302203)+⇶⊼(↸⊣⇑⪆102421)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1720,"operation_count":8,"complexity_ratio":215.0,"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":1405,"base":5}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":2261,"base":5}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":9678,"base":5}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":3486,"base":5}}}}},"used_operators":["rXAclfmB4M","1eCjFl0mb9","hyuBjUqXlG","CzM2PEoXns","W9R8I5fN5A","TpPTUOHfaN","QiR2Oyf5Xj","wztAlM01eG"],"dependent_operators":["sdazOOVcIp","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","dWAJyo7jo9","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","AHs5Up7iyr","7j4O788W3g","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE"],"result":"⇑⪆10023","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1405","layer":4},{"info":"compute unary expreesion, input=1405, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=2261","layer":4},{"info":"compute unary expreesion, input=2261, 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=nan, right_input=90927, 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=9678","layer":4},{"info":"compute unary expreesion, input=9678, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=9678","layer":3},{"info":"number node, value=3486","layer":4},{"info":"compute unary expreesion, input=3486, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-3199","layer":3},{"info":"compute binary expreesion, left_input=9678, right_input=-3199, 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=968, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=968","layer":1},{"info":"compute unary expreesion, input=968, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=638","layer":0}],"base":5,"result_base":5,"text":"⊤⊝(⇋⊎⋝⇑⪆21110)⪛⫼(⇑⪆33021⊊)↸(∷≠⇑⪆302203)+⇶⊼(↸⊣⇑⪆102421)=⇑⪆10023","reverse_text":"⇑⪆10023=⊤⊝(⇋⊎⋝⇑⪆21110)⪛⫼(⇑⪆33021⊊)↸(∷≠⇑⪆302203)+⇶⊼(↸⊣⇑⪆102421)","cot":[{"info":"⇋⊎⋝⇑⪆21110=NaN","layer":3},{"info":"⇑⪆33021⊊=⇑⪆10402202","layer":3},{"info":"NaN⪛⫼⇑⪆10402202=⇑⪆12333","layer":2},{"info":"∷≠⇑⪆302203=⇑⪆302203","layer":3},{"info":"↸⊣⇑⪆102421=⇑⪆-100244","layer":3},{"info":"⇑⪆302203+⇶⊼⇑⪆-100244=NaN","layer":2},{"info":"⇑⪆12333↸NaN=⇑⪆12333","layer":1},{"info":"⊤⊝⇑⪆12333=⇑⪆10023","layer":0}]}
{"id":44,"expression_no_base_symbol":"(($2442$⫁⪎$1392$⊓⋫)⋷($2038$⊉↱≁$3654$)⨂≜($2064$⊨$5847$))⇍⊗(($1263$⊠≄⫣)≁($1187$⨴∎)⪛($1745$⪔$1417$⩵∡$2653$⪮%⊝$1856$))","expression":"((⇑⪆34232⫁⪎⇑⪆21032⊓⋫)⋷(⇑⪆31123⊉↱≁⇑⪆104104)⨂≜(⇑⪆31224⊨⇑⪆141342))⇍⊗((⇑⪆20023⊠≄⫣)≁(⇑⪆14222⨴∎)⪛(⇑⪆23440⪔⇑⪆21132⩵∡⇑⪆41103⪮%⊝⇑⪆24411))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5590,"operation_count":14,"complexity_ratio":399.2857142857143,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2442,"base":5},"right_expr":{"type":"numeric_atoms","value":1392,"base":5}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2038,"base":5},"right_expr":{"type":"numeric_atoms","value":3654,"base":5}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2064,"base":5},"right_expr":{"type":"numeric_atoms","value":5847,"base":5}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1263,"base":5}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":1187,"base":5}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1745,"base":5},"right_expr":{"type":"numeric_atoms","value":1417,"base":5}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2653,"base":5},"right_expr":{"type":"numeric_atoms","value":1856,"base":5}}}}},"used_operators":["5uvYHDjeKN","23Mk6UjR3U","IqGBaFP0uj","xRrnTEsQ6j","k1SHOSEABc","w2P8NbNXyL","vg4gO5BX6G","uFcxV4UQCh","8N2wDY1A35","DIvbN7qnHd","CpSg5vQTgA","Y7wcNGrDQJ","GjBEYRfMaF","IWmyXbctLI"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","t8gj7n24qd","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","NTOWxs364D","glklzrTFfD","tifHPKVTfV","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2442","layer":4},{"info":"number node, value=1392","layer":4},{"info":"compute binary expreesion, left_input=2442, right_input=1392, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1050","layer":3},{"info":"compute unary expreesion, input=1050, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-1178","layer":2},{"info":"number node, value=2038","layer":4},{"info":"number node, value=3654","layer":4},{"info":"compute binary expreesion, left_input=2038, right_input=3654, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-2658","layer":3},{"info":"number node, value=2064","layer":4},{"info":"number node, value=5847","layer":4},{"info":"compute binary expreesion, left_input=2064, right_input=5847, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=9287","layer":3},{"info":"compute binary expreesion, left_input=-2658, right_input=9287, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1178, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2356","layer":1},{"info":"number node, value=1263","layer":4},{"info":"compute unary expreesion, input=1263, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1187","layer":4},{"info":"compute unary expreesion, input=1187, 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=0, right_input=nan, 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=1745","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=1417, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=2653","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=2653, right_input=1856, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5622","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=5622, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=4601","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4601, 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=2356, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆34232⫁⪎⇑⪆21032⊓⋫)⋷(⇑⪆31123⊉↱≁⇑⪆104104)⨂≜(⇑⪆31224⊨⇑⪆141342))⇍⊗((⇑⪆20023⊠≄⫣)≁(⇑⪆14222⨴∎)⪛(⇑⪆23440⪔⇑⪆21132⩵∡⇑⪆41103⪮%⊝⇑⪆24411))=NaN","reverse_text":"NaN=((⇑⪆34232⫁⪎⇑⪆21032⊓⋫)⋷(⇑⪆31123⊉↱≁⇑⪆104104)⨂≜(⇑⪆31224⊨⇑⪆141342))⇍⊗((⇑⪆20023⊠≄⫣)≁(⇑⪆14222⨴∎)⪛(⇑⪆23440⪔⇑⪆21132⩵∡⇑⪆41103⪮%⊝⇑⪆24411))","cot":[{"info":"⇑⪆34232⫁⪎⇑⪆21032=⇑⪆13200","layer":3},{"info":"⇑⪆13200⊓⋫=⇑⪆-14203","layer":2},{"info":"⇑⪆31123⊉↱≁⇑⪆104104=⇑⪆-41113","layer":3},{"info":"⇑⪆31224⊨⇑⪆141342=⇑⪆244122","layer":3},{"info":"⇑⪆-41113⨂≜⇑⪆244122=NaN","layer":2},{"info":"⇑⪆-14203⋷NaN=⇑⪆33411","layer":1},{"info":"⇑⪆20023⊠≄⫣=⇑⪆0","layer":3},{"info":"⇑⪆14222⨴∎=NaN","layer":3},{"info":"⇑⪆0≁NaN=NaN","layer":2},{"info":"⇑⪆23440⪔⇑⪆21132=⇑⪆3300","layer":3},{"info":"⇑⪆41103⪮%⊝⇑⪆24411=⇑⪆134442","layer":3},{"info":"⇑⪆3300⩵∡⇑⪆134442=⇑⪆121401","layer":2},{"info":"NaN⪛⇑⪆121401=NaN","layer":1},{"info":"⇑⪆33411⇍⊗NaN=NaN","layer":0}]}
{"id":45,"expression_no_base_symbol":"∷≠(↴⪽⋼(⇖(∮$7393$)))","expression":"∷≠(↴⪽⋼(⇖(∮⇑⪆214033)))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":312,"operation_count":4,"complexity_ratio":78.0,"tree":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":7393,"base":5}}}}},"used_operators":["QiR2Oyf5Xj","5TUYCnJO6w","tfWHHpNKUN","CqXKPLVYql"],"dependent_operators":["7j4O788W3g","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","2DQ55sFlQl","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"⇑⪆1120","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7393","layer":4},{"info":"compute unary expreesion, input=7393, 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 = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=160","layer":0}],"base":5,"result_base":5,"text":"∷≠(↴⪽⋼(⇖(∮⇑⪆214033)))=⇑⪆1120","reverse_text":"⇑⪆1120=∷≠(↴⪽⋼(⇖(∮⇑⪆214033)))","cot":[{"info":"∮⇑⪆214033=⇑⪆232","layer":3},{"info":"⇖⇑⪆232=⇑⪆1120","layer":2},{"info":"↴⪽⋼⇑⪆1120=⇑⪆1120","layer":1},{"info":"∷≠⇑⪆1120=⇑⪆1120","layer":0}]}
{"id":46,"expression_no_base_symbol":"((($1177$⩤)∠⫱$1368$⪢$4897$)⇯⋐)⊋≦⊧(⫎≠⋺(⪭⩑⪱$1240$)⇤($1848$⩌⋺$4764$))","expression":"(((⇑⪆14202⩤)∠⫱⇑⪆20433⪢⇑⪆124042)⇯⋐)⊋≦⊧(⫎≠⋺(⪭⩑⪱⇑⪆14430)⇤(⇑⪆24343⩌⋺⇑⪆123024))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":218998,"operation_count":9,"complexity_ratio":24333.11111111111,"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":1177,"base":5}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1368,"base":5},"right_expr":{"type":"numeric_atoms","value":4897,"base":5}}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":1240,"base":5}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1848,"base":5},"right_expr":{"type":"numeric_atoms","value":4764,"base":5}}}}},"used_operators":["oRDoc9rAEX","LkLIoiE525","QvoQhV0rrE","Z2TMIBDE3Q","dWAJyo7jo9","LYeZOJ0nQG","YSKBFp38Pu","SIgE0bArFf","g7Hmc5v1ko"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1177","layer":4},{"info":"compute unary expreesion, input=1177, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1177","layer":3},{"info":"number node, value=1368","layer":4},{"info":"number node, value=4897","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=4897, 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=-1177, 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 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=1240","layer":4},{"info":"compute unary expreesion, input=1240, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"number node, value=1848","layer":4},{"info":"number node, value=4764","layer":4},{"info":"compute binary expreesion, left_input=1848, right_input=4764, 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=-6733","layer":3},{"info":"compute binary expreesion, left_input=8320752, right_input=-6733, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-41567247","layer":2},{"info":"compute unary expreesion, input=-41567247, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-709, 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":0}],"base":5,"result_base":5,"text":"(((⇑⪆14202⩤)∠⫱⇑⪆20433⪢⇑⪆124042)⇯⋐)⊋≦⊧(⫎≠⋺(⪭⩑⪱⇑⪆14430)⇤(⇑⪆24343⩌⋺⇑⪆123024))=NaN","reverse_text":"NaN=(((⇑⪆14202⩤)∠⫱⇑⪆20433⪢⇑⪆124042)⇯⋐)⊋≦⊧(⫎≠⋺(⪭⩑⪱⇑⪆14430)⇤(⇑⪆24343⩌⋺⇑⪆123024))","cot":[{"info":"⇑⪆14202⩤=⇑⪆-14202","layer":3},{"info":"⇑⪆20433⪢⇑⪆124042=NaN","layer":3},{"info":"⇑⪆-14202∠⫱NaN=NaN","layer":2},{"info":"NaN⇯⋐=NaN","layer":1},{"info":"⪭⩑⪱⇑⪆14430=⇑⪆4112231002","layer":3},{"info":"⇑⪆24343⩌⋺⇑⪆123024=⇑⪆-203413","layer":3},{"info":"⇑⪆4112231002⇤⇑⪆-203413=⇑⪆-41120122442","layer":2},{"info":"⫎≠⋺⇑⪆-41120122442=⇑⪆-10314","layer":1},{"info":"NaN⊋≦⊧⇑⪆-10314=NaN","layer":0}]}
{"id":47,"expression_no_base_symbol":"(⇜⊴($4659$⊴$2795$)⩍⋽⫝̸$1238$⇻⋧≁$2650$)⩹(($1146$↛⩡⫤)∑⇟⊟($4176$⨵⪆$1716$)⫍⨯↯)","expression":"(⇜⊴(⇑⪆122114⊴⇑⪆42140)⩍⋽⫝̸⇑⪆14423⇻⋧≁⇑⪆41100)⩹((⇑⪆14041↛⩡⫤)∑⇟⊟(⇑⪆113201⨵⪆⇑⪆23331)⫍⨯↯)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":79642,"operation_count":9,"complexity_ratio":8849.111111111111,"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":5},"right_expr":{"type":"numeric_atoms","value":2795,"base":5}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1238,"base":5},"right_expr":{"type":"numeric_atoms","value":2650,"base":5}}}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1146,"base":5}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4176,"base":5},"right_expr":{"type":"numeric_atoms","value":1716,"base":5}}}}},"used_operators":["2Wsdkap16l","XwDhCwWbUn","BiWNJpBvwn","Nsiff2A1zJ","jCPkEVoL5K","ZcwmYACASQ","U7g4x0WXJJ","FU0Cs4j7VP","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","Ph9nP6C5qx","xUOZtlo3hN","dWAJyo7jo9","14qkJME0vr","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"⇑⪆-1021","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4659","layer":4},{"info":"number node, value=2795","layer":4},{"info":"compute binary expreesion, left_input=4659, right_input=2795, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1238","layer":4},{"info":"number node, value=2650","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=2650, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=nan","layer":1},{"info":"number node, value=1146","layer":4},{"info":"compute unary expreesion, input=1146, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-169135","layer":3},{"info":"number node, value=4176","layer":4},{"info":"number node, value=1716","layer":4},{"info":"compute binary expreesion, left_input=4176, right_input=1716, 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=-169135, right_input=160, 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 = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, 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=-136","layer":0}],"base":5,"result_base":5,"text":"(⇜⊴(⇑⪆122114⊴⇑⪆42140)⩍⋽⫝̸⇑⪆14423⇻⋧≁⇑⪆41100)⩹((⇑⪆14041↛⩡⫤)∑⇟⊟(⇑⪆113201⨵⪆⇑⪆23331)⫍⨯↯)=⇑⪆-1021","reverse_text":"⇑⪆-1021=(⇜⊴(⇑⪆122114⊴⇑⪆42140)⩍⋽⫝̸⇑⪆14423⇻⋧≁⇑⪆41100)⩹((⇑⪆14041↛⩡⫤)∑⇟⊟(⇑⪆113201⨵⪆⇑⪆23331)⫍⨯↯)","cot":[{"info":"⇑⪆122114⊴⇑⪆42140=NaN","layer":3},{"info":"⇑⪆14423⇻⋧≁⇑⪆41100=⇑⪆-3242","layer":3},{"info":"NaN⩍⋽⫝̸⇑⪆-3242=NaN","layer":2},{"info":"⇜⊴NaN=NaN","layer":1},{"info":"⇑⪆14041↛⩡⫤=⇑⪆-20403020","layer":3},{"info":"⇑⪆113201⨵⪆⇑⪆23331=⇑⪆1120","layer":3},{"info":"⇑⪆-20403020∑⇟⊟⇑⪆1120=NaN","layer":2},{"info":"NaN⫍⨯↯=⇑⪆-1014","layer":1},{"info":"NaN⩹⇑⪆-1014=⇑⪆-1021","layer":0}]}
{"id":48,"expression_no_base_symbol":"(⪛⨧((⪓⩚$2792$)⪭≯($1114$∙⊟$1463$)))↞⋁(($1467$⩷∴$4641$⪄($5770$∩⋅))⪭($2262$⫰⋱$6892$⪒$4800$≧⫂∧$2975$))","expression":"(⪛⨧((⪓⩚⇑⪆42132)⪭≯(⇑⪆13424∙⊟⇑⪆21323)))↞⋁((⇑⪆21332⩷∴⇑⪆122031⪄(⇑⪆141040∩⋅))⪭(⇑⪆33022⫰⋱⇑⪆210032⪒⇑⪆123200≧⫂∧⇑⪆43400))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5035,"operation_count":12,"complexity_ratio":419.5833333333333,"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":2792,"base":5}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1114,"base":5},"right_expr":{"type":"numeric_atoms","value":1463,"base":5}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1467,"base":5},"right_expr":{"type":"numeric_atoms","value":4641,"base":5}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":5770,"base":5}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2262,"base":5},"right_expr":{"type":"numeric_atoms","value":6892,"base":5}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4800,"base":5},"right_expr":{"type":"numeric_atoms","value":2975,"base":5}}}}},"used_operators":["RqrPlJkxDo","6NJAcO2OWT","XAx5wpdLa6","u0R0Locfp2","SxTAKzQCrw","j9kHMeSvPp","SUmda5xLS4","9FxExcQeMw","2MzE1hQ0cz","f6k1SAg4EE","6o9Blt3TJ6","Ph9nP6C5qx"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","COABgblf1C","xUOZtlo3hN","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2792","layer":4},{"info":"compute unary expreesion, input=2792, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=1114","layer":4},{"info":"number node, value=1463","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=1463, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=24328","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=24328, 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 = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=nan","layer":1},{"info":"number node, value=1467","layer":4},{"info":"number node, value=4641","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=4641, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6380","layer":3},{"info":"number node, value=5770","layer":4},{"info":"compute unary expreesion, input=5770, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-5649","layer":3},{"info":"compute binary expreesion, left_input=-6380, right_input=-5649, 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=2262","layer":4},{"info":"number node, value=6892","layer":4},{"info":"compute binary expreesion, left_input=2262, right_input=6892, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2229","layer":3},{"info":"number node, value=4800","layer":4},{"info":"number node, value=2975","layer":4},{"info":"compute binary expreesion, left_input=4800, right_input=2975, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2502","layer":3},{"info":"compute binary expreesion, left_input=-2229, right_input=2502, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-273","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-273, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⪛⨧((⪓⩚⇑⪆42132)⪭≯(⇑⪆13424∙⊟⇑⪆21323)))↞⋁((⇑⪆21332⩷∴⇑⪆122031⪄(⇑⪆141040∩⋅))⪭(⇑⪆33022⫰⋱⇑⪆210032⪒⇑⪆123200≧⫂∧⇑⪆43400))=NaN","reverse_text":"NaN=(⪛⨧((⪓⩚⇑⪆42132)⪭≯(⇑⪆13424∙⊟⇑⪆21323)))↞⋁((⇑⪆21332⩷∴⇑⪆122031⪄(⇑⪆141040∩⋅))⪭(⇑⪆33022⫰⋱⇑⪆210032⪒⇑⪆123200≧⫂∧⇑⪆43400))","cot":[{"info":"⪓⩚⇑⪆42132=⇑⪆3201","layer":3},{"info":"⇑⪆13424∙⊟⇑⪆21323=⇑⪆1234303","layer":3},{"info":"⇑⪆3201⪭≯⇑⪆1234303=NaN","layer":2},{"info":"⪛⨧NaN=NaN","layer":1},{"info":"⇑⪆21332⩷∴⇑⪆122031=⇑⪆-201010","layer":3},{"info":"⇑⪆141040∩⋅=⇑⪆-140044","layer":3},{"info":"⇑⪆-201010⪄⇑⪆-140044=⇑⪆111404","layer":2},{"info":"⇑⪆33022⫰⋱⇑⪆210032=⇑⪆-32404","layer":3},{"info":"⇑⪆123200≧⫂∧⇑⪆43400=⇑⪆40002","layer":3},{"info":"⇑⪆-32404⪒⇑⪆40002=⇑⪆-2043","layer":2},{"info":"⇑⪆111404⪭⇑⪆-2043=⇑⪆10","layer":1},{"info":"NaN↞⋁⇑⪆10=NaN","layer":0}]}
{"id":49,"expression_no_base_symbol":"(($4135$⪪$1716$⫠↝⫳)⨰($4385$⇤$3065$↙$1041$⩒⫫$2715$))⩍⋽⫝̸(↩($3166$⇟⨁⪰)∊∟⩊(⪸$2044$))","expression":"((⇑⪆113020⪪⇑⪆23331⫠↝⫳)⨰(⇑⪆120020⇤⇑⪆44230↙⇑⪆13131⩒⫫⇑⪆41330))⩍⋽⫝̸(↩(⇑⪆100131⇟⨁⪰)∊∟⩊(⪸⇑⪆31134))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12666,"operation_count":11,"complexity_ratio":1151.4545454545455,"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":4135,"base":5},"right_expr":{"type":"numeric_atoms","value":1716,"base":5}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":4385,"base":5},"right_expr":{"type":"numeric_atoms","value":3065,"base":5}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1041,"base":5},"right_expr":{"type":"numeric_atoms","value":2715,"base":5}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":3166,"base":5}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":2044,"base":5}}}}},"used_operators":["BiWNJpBvwn","eewbuw0ToL","8n5YIzOsVS","xD69zh8xqp","yyfyN0ffXY","YSKBFp38Pu","KFSx94NKJn","jLgFTUHLKL","ddLRYrp01A","BX1lVwlMe0","86A5ENbKR9"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","2DDjHMKMc0","xUOZtlo3hN","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q"],"result":"⇑⪆13433310","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4135","layer":4},{"info":"number node, value=1716","layer":4},{"info":"compute binary expreesion, left_input=4135, right_input=1716, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-620474","layer":3},{"info":"compute unary expreesion, input=-620474, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-19854545","layer":2},{"info":"number node, value=4385","layer":4},{"info":"number node, value=3065","layer":4},{"info":"compute binary expreesion, left_input=4385, right_input=3065, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-34402","layer":3},{"info":"number node, value=1041","layer":4},{"info":"number node, value=2715","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=2715, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=739","layer":3},{"info":"compute binary expreesion, left_input=-34402, right_input=739, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-34402","layer":2},{"info":"compute binary expreesion, left_input=-19854545, right_input=-34402, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-19820133","layer":1},{"info":"number node, value=3166","layer":4},{"info":"compute unary expreesion, input=3166, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-3340","layer":3},{"info":"number node, value=2044","layer":4},{"info":"compute unary expreesion, input=2044, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-34539","layer":3},{"info":"compute binary expreesion, left_input=-3340, right_input=-34539, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-34539","layer":2},{"info":"compute unary expreesion, input=-34539, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=140776","layer":1},{"info":"compute binary expreesion, left_input=-19820133, right_input=140776, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=139830","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆113020⪪⇑⪆23331⫠↝⫳)⨰(⇑⪆120020⇤⇑⪆44230↙⇑⪆13131⩒⫫⇑⪆41330))⩍⋽⫝̸(↩(⇑⪆100131⇟⨁⪰)∊∟⩊(⪸⇑⪆31134))=⇑⪆13433310","reverse_text":"⇑⪆13433310=((⇑⪆113020⪪⇑⪆23331⫠↝⫳)⨰(⇑⪆120020⇤⇑⪆44230↙⇑⪆13131⩒⫫⇑⪆41330))⩍⋽⫝̸(↩(⇑⪆100131⇟⨁⪰)∊∟⩊(⪸⇑⪆31134))","cot":[{"info":"⇑⪆113020⪪⇑⪆23331=⇑⪆-124323344","layer":3},{"info":"⇑⪆-124323344⫠↝⫳=⇑⪆-20040321140","layer":2},{"info":"⇑⪆120020⇤⇑⪆44230=⇑⪆-2100102","layer":3},{"info":"⇑⪆13131⩒⫫⇑⪆41330=⇑⪆10424","layer":3},{"info":"⇑⪆-2100102↙⇑⪆10424=⇑⪆-2100102","layer":2},{"info":"⇑⪆-20040321140⨰⇑⪆-2100102=⇑⪆-20033221013","layer":1},{"info":"⇑⪆100131⇟⨁⪰=⇑⪆-101330","layer":3},{"info":"⪸⇑⪆31134=⇑⪆-2101124","layer":3},{"info":"⇑⪆-101330∊∟⩊⇑⪆-2101124=⇑⪆-2101124","layer":2},{"info":"↩⇑⪆-2101124=⇑⪆14001101","layer":1},{"info":"⇑⪆-20033221013⩍⋽⫝̸⇑⪆14001101=⇑⪆13433310","layer":0}]}
{"id":50,"expression_no_base_symbol":"((⋣$6363$)≨($1883$⇴$4387$))⫗⊷⫓($9159$⋣⋖$7912$+⇶⊼($1866$⫚↹⊑$1885$))≓∲(⇠(⪲⇎($3138$⪨≂$5842$)))","expression":"((⋣⇑⪆200423)≨(⇑⪆30013⇴⇑⪆120022))⫗⊷⫓(⇑⪆243114⋣⋖⇑⪆223122+⇶⊼(⇑⪆24431⫚↹⊑⇑⪆30020))≓∲(⇠(⪲⇎(⇑⪆100023⪨≂⇑⪆141332)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11225128,"operation_count":11,"complexity_ratio":1020466.1818181818,"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":6363,"base":5}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1883,"base":5},"right_expr":{"type":"numeric_atoms","value":4387,"base":5}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":9159,"base":5},"right_expr":{"type":"numeric_atoms","value":7912,"base":5}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1866,"base":5},"right_expr":{"type":"numeric_atoms","value":1885,"base":5}}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3138,"base":5},"right_expr":{"type":"numeric_atoms","value":5842,"base":5}}}}},"used_operators":["s1XTVnmDOJ","zashukvMKz","0KMCeP1Jsh","zQWRhDnn8F","4JB6nKBMSY","TpPTUOHfaN","J0M6qkBnIM","dfKe02y8D2","18saOjeKKm","XPYlsWDdGa","sdazOOVcIp"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","sdazOOVcIp","NTOWxs364D","COABgblf1C","AHs5Up7iyr","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⇑⪆141032","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6363","layer":4},{"info":"compute unary expreesion, input=6363, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-1870627","layer":3},{"info":"number node, value=1883","layer":4},{"info":"number node, value=4387","layer":4},{"info":"compute binary expreesion, left_input=1883, right_input=4387, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=19686","layer":3},{"info":"compute binary expreesion, left_input=-1870627, right_input=19686, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=3741910","layer":2},{"info":"number node, value=9159","layer":4},{"info":"number node, value=7912","layer":4},{"info":"compute binary expreesion, left_input=9159, right_input=7912, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=9159","layer":3},{"info":"number node, value=1866","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=1885, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=9159, right_input=-447, 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=3741910, 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=3138","layer":4},{"info":"number node, value=5842","layer":4},{"info":"compute binary expreesion, left_input=3138, right_input=5842, 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=-5306","layer":3},{"info":"compute unary expreesion, input=-5306, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-10612","layer":2},{"info":"compute unary expreesion, input=-10612, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-134, 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=5767","layer":0}],"base":5,"result_base":5,"text":"((⋣⇑⪆200423)≨(⇑⪆30013⇴⇑⪆120022))⫗⊷⫓(⇑⪆243114⋣⋖⇑⪆223122+⇶⊼(⇑⪆24431⫚↹⊑⇑⪆30020))≓∲(⇠(⪲⇎(⇑⪆100023⪨≂⇑⪆141332)))=⇑⪆141032","reverse_text":"⇑⪆141032=((⋣⇑⪆200423)≨(⇑⪆30013⇴⇑⪆120022))⫗⊷⫓(⇑⪆243114⋣⋖⇑⪆223122+⇶⊼(⇑⪆24431⫚↹⊑⇑⪆30020))≓∲(⇠(⪲⇎(⇑⪆100023⪨≂⇑⪆141332)))","cot":[{"info":"⋣⇑⪆200423=⇑⪆-434330002","layer":3},{"info":"⇑⪆30013⇴⇑⪆120022=⇑⪆1112221","layer":3},{"info":"⇑⪆-434330002≨⇑⪆1112221=⇑⪆1424220120","layer":2},{"info":"⇑⪆243114⋣⋖⇑⪆223122=⇑⪆243114","layer":3},{"info":"⇑⪆24431⫚↹⊑⇑⪆30020=⇑⪆-3242","layer":3},{"info":"⇑⪆243114+⇶⊼⇑⪆-3242=NaN","layer":2},{"info":"⇑⪆1424220120⫗⊷⫓NaN=⇑⪆-1014","layer":1},{"info":"⇑⪆100023⪨≂⇑⪆141332=⇑⪆-132211","layer":3},{"info":"⪲⇎⇑⪆-132211=⇑⪆-314422","layer":2},{"info":"⇠⇑⪆-314422=⇑⪆0","layer":1},{"info":"⇑⪆-1014≓∲⇑⪆0=⇑⪆141032","layer":0}]}
{"id":51,"expression_no_base_symbol":"⨙⪌((($1950$⪘⨀)≚⊃≕($1462$⊍⩺⋍$6803$))⊱⇼⊻($3485$⇣⩺⋵$3475$∲⫓(⇜⊴$5045$)))","expression":"⨙⪌(((⇑⪆30300⪘⨀)≚⊃≕(⇑⪆21322⊍⩺⋍⇑⪆204203))⊱⇼⊻(⇑⪆102420⇣⩺⋵⇑⪆102400∲⫓(⇜⊴⇑⪆130140)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":435,"operation_count":8,"complexity_ratio":54.375,"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":1950,"base":5}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1462,"base":5},"right_expr":{"type":"numeric_atoms","value":6803,"base":5}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":3485,"base":5},"right_expr":{"type":"numeric_atoms","value":3475,"base":5}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":5045,"base":5}}}}},"used_operators":["vEGLkm4Z2k","FyVja0WsTP","Bmrmz2XGnR","aA7tF3KVD3","OXDGMFPWZM","i8ToyICDmI","F4yD0voBRQ","XwDhCwWbUn"],"dependent_operators":["tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1950","layer":4},{"info":"compute unary expreesion, input=1950, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-4481","layer":3},{"info":"number node, value=1462","layer":4},{"info":"number node, value=6803","layer":4},{"info":"compute binary expreesion, left_input=1462, right_input=6803, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4481, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=nan","layer":2},{"info":"number node, value=3485","layer":4},{"info":"number node, value=3475","layer":4},{"info":"compute binary expreesion, left_input=3485, right_input=3475, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=5045","layer":4},{"info":"compute unary expreesion, input=5045, 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=-1176906","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-1176906, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , 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":5,"result_base":5,"text":"⨙⪌(((⇑⪆30300⪘⨀)≚⊃≕(⇑⪆21322⊍⩺⋍⇑⪆204203))⊱⇼⊻(⇑⪆102420⇣⩺⋵⇑⪆102400∲⫓(⇜⊴⇑⪆130140)))=NaN","reverse_text":"NaN=⨙⪌(((⇑⪆30300⪘⨀)≚⊃≕(⇑⪆21322⊍⩺⋍⇑⪆204203))⊱⇼⊻(⇑⪆102420⇣⩺⋵⇑⪆102400∲⫓(⇜⊴⇑⪆130140)))","cot":[{"info":"⇑⪆30300⪘⨀=⇑⪆-120411","layer":3},{"info":"⇑⪆21322⊍⩺⋍⇑⪆204203=NaN","layer":3},{"info":"⇑⪆-120411≚⊃≕NaN=NaN","layer":2},{"info":"⇑⪆102420⇣⩺⋵⇑⪆102400=⇑⪆-2020","layer":3},{"info":"⇜⊴⇑⪆130140=⇑⪆-300130111","layer":3},{"info":"⇑⪆-2020∲⫓⇑⪆-300130111=⇑⪆-2020","layer":2},{"info":"NaN⊱⇼⊻⇑⪆-2020=NaN","layer":1},{"info":"⨙⪌NaN=NaN","layer":0}]}
{"id":52,"expression_no_base_symbol":"(↥≼⋛$2066$≨$1827$)⨔⇊($2112$⪁$2674$)⪬($5553$⨰$2246$)⫒⫫(∷≠(($2358$⩒⫫$1434$)⫏⊷))","expression":"(↥≼⋛⇑⪆31231≨⇑⪆24302)⨔⇊(⇑⪆31422⪁⇑⪆41144)⪬(⇑⪆134203⨰⇑⪆32441)⫒⫫(∷≠((⇑⪆33413⩒⫫⇑⪆21214)⫏⊷))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":111220702,"operation_count":10,"complexity_ratio":11122070.2,"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":2066,"base":5},"right_expr":{"type":"numeric_atoms","value":1827,"base":5}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2112,"base":5},"right_expr":{"type":"numeric_atoms","value":2674,"base":5}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5553,"base":5},"right_expr":{"type":"numeric_atoms","value":2246,"base":5}}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2358,"base":5},"right_expr":{"type":"numeric_atoms","value":1434,"base":5}}}}},"used_operators":["6Ko8hGgeMq","JclMnS0uGI","x5lMkHmzsq","0KMCeP1Jsh","Ez1Nq5fNfI","I7sXao9hZE","eewbuw0ToL","QiR2Oyf5Xj","dcShxvzhyw","KFSx94NKJn"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2066","layer":4},{"info":"number node, value=1827","layer":4},{"info":"compute binary expreesion, left_input=2066, right_input=1827, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-18184","layer":3},{"info":"compute unary expreesion, input=-18184, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-18151","layer":2},{"info":"number node, value=2112","layer":4},{"info":"number node, value=2674","layer":4},{"info":"compute binary expreesion, left_input=2112, right_input=2674, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=5553","layer":4},{"info":"number node, value=2246","layer":4},{"info":"compute binary expreesion, left_input=5553, right_input=2246, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3317","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3317, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-18151, right_input=1234, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1234","layer":1},{"info":"number node, value=2358","layer":4},{"info":"number node, value=1434","layer":4},{"info":"compute binary expreesion, left_input=2358, right_input=1434, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2056","layer":3},{"info":"compute unary expreesion, input=2056, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":2},{"info":"compute unary expreesion, input=-820, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-820","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-820, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(↥≼⋛⇑⪆31231≨⇑⪆24302)⨔⇊(⇑⪆31422⪁⇑⪆41144)⪬(⇑⪆134203⨰⇑⪆32441)⫒⫫(∷≠((⇑⪆33413⩒⫫⇑⪆21214)⫏⊷))=NaN","reverse_text":"NaN=(↥≼⋛⇑⪆31231≨⇑⪆24302)⨔⇊(⇑⪆31422⪁⇑⪆41144)⪬(⇑⪆134203⨰⇑⪆32441)⫒⫫(∷≠((⇑⪆33413⩒⫫⇑⪆21214)⫏⊷))","cot":[{"info":"⇑⪆31231≨⇑⪆24302=⇑⪆-1040214","layer":3},{"info":"↥≼⋛⇑⪆-1040214=⇑⪆-1040101","layer":2},{"info":"⇑⪆31422⪁⇑⪆41144=NaN","layer":3},{"info":"⇑⪆134203⨰⇑⪆32441=⇑⪆101232","layer":3},{"info":"NaN⪬⇑⪆101232=⇑⪆14414","layer":2},{"info":"⇑⪆-1040101⨔⇊⇑⪆14414=⇑⪆14414","layer":1},{"info":"⇑⪆33413⩒⫫⇑⪆21214=⇑⪆31211","layer":3},{"info":"⇑⪆31211⫏⊷=⇑⪆-11240","layer":2},{"info":"∷≠⇑⪆-11240=⇑⪆-11240","layer":1},{"info":"⇑⪆14414⫒⫫⇑⪆-11240=NaN","layer":0}]}
{"id":53,"expression_no_base_symbol":"($1741$∙∹∝$1920$)⫣⪄⊒($1731$⇴∐$7872$)⪕((↣≠⋷$1086$)⩠)⫡⨏(($1578$⫩)⊕∕(⊲⪭$3667$)⫚↹⊑$1928$⋥⋵⩄$2847$∙∹∝(⊵⊁$3473$))","expression":"(⇑⪆23431∙∹∝⇑⪆30140)⫣⪄⊒(⇑⪆23411⇴∐⇑⪆222442)⪕((↣≠⋷⇑⪆13321)⩠)⫡⨏((⇑⪆22303⫩)⊕∕(⊲⪭⇑⪆104132)⫚↹⊑⇑⪆30203⋥⋵⩄⇑⪆42342∙∹∝(⊵⊁⇑⪆102343))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1775,"operation_count":14,"complexity_ratio":126.78571428571429,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1741,"base":5},"right_expr":{"type":"numeric_atoms","value":1920,"base":5}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1731,"base":5},"right_expr":{"type":"numeric_atoms","value":7872,"base":5}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1086,"base":5}}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1578,"base":5}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":3667,"base":5}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1928,"base":5},"right_expr":{"type":"numeric_atoms","value":2847,"base":5}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":3473,"base":5}}}}},"used_operators":["QMFrweE19q","umQnsF7QlU","RabNbG55vr","HmxsFra2vL","HnzytWxmAO","sJAwomhLZr","Asc51vEJeQ","dfKe02y8D2","9cloC0Ngie","6aG7x05OhS","k7HXdKtiEU","7t3wd0Fuz7","AvED76WdY7"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","dWAJyo7jo9","i8ToyICDmI","xUOZtlo3hN","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","uBihLCJcMX","k8jYdgA6NY"],"result":"⇑⪆121224","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1741","layer":4},{"info":"number node, value=1920","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=1920, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1731","layer":4},{"info":"number node, value=7872","layer":4},{"info":"compute binary expreesion, left_input=1731, right_input=7872, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, 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=1086","layer":4},{"info":"compute unary expreesion, input=1086, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"number node, value=1578","layer":4},{"info":"compute unary expreesion, input=1578, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=3667","layer":4},{"info":"compute unary expreesion, input=3667, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-3841","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3841, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":2},{"info":"number node, value=1928","layer":4},{"info":"number node, value=2847","layer":4},{"info":"compute binary expreesion, left_input=1928, right_input=2847, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=3473","layer":4},{"info":"compute unary expreesion, input=3473, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=19768","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=19768, 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 = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=-447, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=4564","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆23431∙∹∝⇑⪆30140)⫣⪄⊒(⇑⪆23411⇴∐⇑⪆222442)⪕((↣≠⋷⇑⪆13321)⩠)⫡⨏((⇑⪆22303⫩)⊕∕(⊲⪭⇑⪆104132)⫚↹⊑⇑⪆30203⋥⋵⩄⇑⪆42342∙∹∝(⊵⊁⇑⪆102343))=⇑⪆121224","reverse_text":"⇑⪆121224=(⇑⪆23431∙∹∝⇑⪆30140)⫣⪄⊒(⇑⪆23411⇴∐⇑⪆222442)⪕((↣≠⋷⇑⪆13321)⩠)⫡⨏((⇑⪆22303⫩)⊕∕(⊲⪭⇑⪆104132)⫚↹⊑⇑⪆30203⋥⋵⩄⇑⪆42342∙∹∝(⊵⊁⇑⪆102343))","cot":[{"info":"⇑⪆23431∙∹∝⇑⪆30140=⇑⪆0","layer":3},{"info":"⇑⪆23411⇴∐⇑⪆222442=NaN","layer":3},{"info":"⇑⪆0⫣⪄⊒NaN=⇑⪆1120","layer":2},{"info":"↣≠⋷⇑⪆13321=NaN","layer":3},{"info":"NaN⩠=NaN","layer":2},{"info":"⇑⪆1120⪕NaN=⇑⪆12220","layer":1},{"info":"⇑⪆22303⫩=NaN","layer":3},{"info":"⊲⪭⇑⪆104132=⇑⪆-110331","layer":3},{"info":"NaN⊕∕⇑⪆-110331=NaN","layer":2},{"info":"⇑⪆30203⋥⋵⩄⇑⪆42342=⇑⪆423","layer":3},{"info":"⊵⊁⇑⪆102343=⇑⪆1113033","layer":3},{"info":"⇑⪆423∙∹∝⇑⪆1113033=⇑⪆0","layer":2},{"info":"NaN⫚↹⊑⇑⪆0=⇑⪆-3242","layer":1},{"info":"⇑⪆12220⫡⨏⇑⪆-3242=⇑⪆121224","layer":0}]}
{"id":54,"expression_no_base_symbol":"⨆≐≲(⇜($2406$⇷$3650$⇣⩺⋵($7060$⪄$1058$)))","expression":"⨆≐≲(⇜(⇑⪆34111⇷⇑⪆104100⇣⩺⋵(⇑⪆211220⪄⇑⪆13213)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":35154,"operation_count":5,"complexity_ratio":7030.8,"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":2406,"base":5},"right_expr":{"type":"numeric_atoms","value":3650,"base":5}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7060,"base":5},"right_expr":{"type":"numeric_atoms","value":1058,"base":5}}}}},"used_operators":["Bi9z9uYZqW","lFBm8KRb8F","F4yD0voBRQ","mp7IySMOzn","SUmda5xLS4"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⇑⪆1031034103","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2406","layer":4},{"info":"number node, value=3650","layer":4},{"info":"compute binary expreesion, left_input=2406, right_input=3650, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7300","layer":3},{"info":"number node, value=7060","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=7060, right_input=1058, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1045201","layer":3},{"info":"compute binary expreesion, left_input=7300, right_input=-1045201, 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 = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":1},{"info":"compute unary expreesion, input=232, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=2205528","layer":0}],"base":5,"result_base":5,"text":"⨆≐≲(⇜(⇑⪆34111⇷⇑⪆104100⇣⩺⋵(⇑⪆211220⪄⇑⪆13213)))=⇑⪆1031034103","reverse_text":"⇑⪆1031034103=⨆≐≲(⇜(⇑⪆34111⇷⇑⪆104100⇣⩺⋵(⇑⪆211220⪄⇑⪆13213)))","cot":[{"info":"⇑⪆34111⇷⇑⪆104100=⇑⪆213200","layer":3},{"info":"⇑⪆211220⪄⇑⪆13213=⇑⪆-231421301","layer":3},{"info":"⇑⪆213200⇣⩺⋵⇑⪆-231421301=⇑⪆-2020","layer":2},{"info":"⇜⇑⪆-2020=⇑⪆1412","layer":1},{"info":"⨆≐≲⇑⪆1412=⇑⪆1031034103","layer":0}]}
{"id":55,"expression_no_base_symbol":"(($2741$⨳⩥⨓$2075$)⇴∐$3476$≴⪞⇿$1896$⨰((↩$1901$)/(⩪∧⨌$2366$)))⇴(⫎≠⋺(∜⨇(⨆≐≲$1030$)))","expression":"((⇑⪆41431⨳⩥⨓⇑⪆31300)⇴∐⇑⪆102401≴⪞⇿⇑⪆30041⨰((↩⇑⪆30101)/(⩪∧⨌⇑⪆33431)))⇴(⫎≠⋺(∜⨇(⨆≐≲⇑⪆13110)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3493,"operation_count":11,"complexity_ratio":317.54545454545456,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2741,"base":5},"right_expr":{"type":"numeric_atoms","value":2075,"base":5}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":3476,"base":5},"right_expr":{"type":"numeric_atoms","value":1896,"base":5}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1901,"base":5}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2366,"base":5}}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":1030,"base":5}}}}},"used_operators":["4JB6nKBMSY","eewbuw0ToL","HnzytWxmAO","nCS4ZIUYfx","lvlrscuwVU","XhwjNDsVaA","jLgFTUHLKL","6iOiAJX1F8","LYeZOJ0nQG","uFPyJr306J","Bi9z9uYZqW"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","rysDP5nf3Z","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2741","layer":4},{"info":"number node, value=2075","layer":4},{"info":"compute binary expreesion, left_input=2741, right_input=2075, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-666","layer":3},{"info":"number node, value=3476","layer":4},{"info":"number node, value=1896","layer":4},{"info":"compute binary expreesion, left_input=3476, right_input=1896, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=20518652","layer":3},{"info":"compute binary expreesion, left_input=-666, right_input=20518652, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"number node, value=1901","layer":4},{"info":"compute unary expreesion, input=1901, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-12428","layer":3},{"info":"number node, value=2366","layer":4},{"info":"compute unary expreesion, input=2366, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=23660","layer":3},{"info":"compute binary expreesion, left_input=-12428, right_input=23660, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=-1, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-105","layer":1},{"info":"number node, value=1030","layer":4},{"info":"compute unary expreesion, input=1030, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=10938840","layer":3},{"info":"compute unary expreesion, input=10938840, 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 = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-105, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆41431⨳⩥⨓⇑⪆31300)⇴∐⇑⪆102401≴⪞⇿⇑⪆30041⨰((↩⇑⪆30101)/(⩪∧⨌⇑⪆33431)))⇴(⫎≠⋺(∜⨇(⨆≐≲⇑⪆13110)))=NaN","reverse_text":"NaN=((⇑⪆41431⨳⩥⨓⇑⪆31300)⇴∐⇑⪆102401≴⪞⇿⇑⪆30041⨰((↩⇑⪆30101)/(⩪∧⨌⇑⪆33431)))⇴(⫎≠⋺(∜⨇(⨆≐≲⇑⪆13110)))","cot":[{"info":"⇑⪆41431⨳⩥⨓⇑⪆31300=⇑⪆-10131","layer":3},{"info":"⇑⪆102401≴⪞⇿⇑⪆30041=⇑⪆20223044102","layer":3},{"info":"⇑⪆-10131⇴∐⇑⪆20223044102=⇑⪆-431","layer":2},{"info":"↩⇑⪆30101=⇑⪆-344203","layer":3},{"info":"⩪∧⨌⇑⪆33431=⇑⪆1224120","layer":3},{"info":"⇑⪆-344203/⇑⪆1224120=⇑⪆-1","layer":2},{"info":"⇑⪆-431⨰⇑⪆-1=⇑⪆-410","layer":1},{"info":"⨆≐≲⇑⪆13110=⇑⪆10300020330","layer":3},{"info":"∜⨇⇑⪆10300020330=NaN","layer":2},{"info":"⫎≠⋺NaN=NaN","layer":1},{"info":"⇑⪆-410⇴NaN=NaN","layer":0}]}
{"id":56,"expression_no_base_symbol":"(∐⩳⋚(($7153$⊫∞)⊦⊿))↳≱(≇⪴(↨$3495$)⪎↠($3655$⩇∃⫛$1324$))","expression":"(∐⩳⋚((⇑⪆212103⊫∞)⊦⊿))↳≱(≇⪴(↨⇑⪆102440)⪎↠(⇑⪆104110⩇∃⫛⇑⪆20244))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23574,"operation_count":8,"complexity_ratio":2946.75,"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":7153,"base":5}}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":3495,"base":5}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":3655,"base":5},"right_expr":{"type":"numeric_atoms","value":1324,"base":5}}}}},"used_operators":["JwTKLfZU96","SL6IHkK8vl","14qkJME0vr","pABnYW3G3E","zoVPnxeHJ3","3tVxb0NHM4","jiX4gk2v2Q","1aApVXNlOP"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rGHVDoGpnC","oZj3VtZNQx","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7153","layer":4},{"info":"compute unary expreesion, input=7153, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-79","layer":2},{"info":"compute unary expreesion, input=-79, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-51552","layer":1},{"info":"number node, value=3495","layer":4},{"info":"compute unary expreesion, input=3495, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"number node, value=3655","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=3655, right_input=1324, 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=-1858","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1858, 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 = 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=-51552, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":5,"result_base":5,"text":"(∐⩳⋚((⇑⪆212103⊫∞)⊦⊿))↳≱(≇⪴(↨⇑⪆102440)⪎↠(⇑⪆104110⩇∃⫛⇑⪆20244))=⇑⪆0","reverse_text":"⇑⪆0=(∐⩳⋚((⇑⪆212103⊫∞)⊦⊿))↳≱(≇⪴(↨⇑⪆102440)⪎↠(⇑⪆104110⩇∃⫛⇑⪆20244))","cot":[{"info":"⇑⪆212103⊫∞=⇑⪆0","layer":3},{"info":"⇑⪆0⊦⊿=⇑⪆-304","layer":2},{"info":"∐⩳⋚⇑⪆-304=⇑⪆-3122202","layer":1},{"info":"↨⇑⪆102440=NaN","layer":3},{"info":"⇑⪆104110⩇∃⫛⇑⪆20244=⇑⪆-24413","layer":3},{"info":"NaN⪎↠⇑⪆-24413=NaN","layer":2},{"info":"≇⪴NaN=NaN","layer":1},{"info":"⇑⪆-3122202↳≱NaN=⇑⪆0","layer":0}]}
{"id":57,"expression_no_base_symbol":"(⇋⊎⋝(∐⩳⋚($3644$⪢$5648$)))⨎(⇖⫷⫕$1835$)∊∟⩊(⊬↢$1116$)∌↝($6120$⪔$4413$⊭↱$1030$⪮%⊝$2025$)","expression":"(⇋⊎⋝(∐⩳⋚(⇑⪆104034⪢⇑⪆140043)))⨎(⇖⫷⫕⇑⪆24320)∊∟⩊(⊬↢⇑⪆13431)∌↝(⇑⪆143440⪔⇑⪆120123⊭↱⇑⪆13110⪮%⊝⇑⪆31100)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12123,"operation_count":11,"complexity_ratio":1102.090909090909,"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":3644,"base":5},"right_expr":{"type":"numeric_atoms","value":5648,"base":5}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1835,"base":5}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1116,"base":5}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":6120,"base":5},"right_expr":{"type":"numeric_atoms","value":4413,"base":5}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1030,"base":5},"right_expr":{"type":"numeric_atoms","value":2025,"base":5}}}}},"used_operators":["rJVOvQCfKK","CzM2PEoXns","SL6IHkK8vl","dWAJyo7jo9","9Isq31Ruls","ddLRYrp01A","UHmRx3INFg","WPoGxAaPR1","COABgblf1C","GjBEYRfMaF","IWmyXbctLI"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","k8jYdgA6NY","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⇑⪆-332241","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3644","layer":4},{"info":"number node, value=5648","layer":4},{"info":"compute binary expreesion, left_input=3644, right_input=5648, 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 = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=1835","layer":4},{"info":"compute unary expreesion, input=1835, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, 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=2822, right_input=218, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=218","layer":2},{"info":"number node, value=6120","layer":4},{"info":"number node, value=4413","layer":4},{"info":"compute binary expreesion, left_input=6120, right_input=4413, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1030","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=2025, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2376","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=2376, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3857","layer":2},{"info":"compute binary expreesion, left_input=218, right_input=3857, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-11571","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-11571, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-11571","layer":0}],"base":5,"result_base":5,"text":"(⇋⊎⋝(∐⩳⋚(⇑⪆104034⪢⇑⪆140043)))⨎(⇖⫷⫕⇑⪆24320)∊∟⩊(⊬↢⇑⪆13431)∌↝(⇑⪆143440⪔⇑⪆120123⊭↱⇑⪆13110⪮%⊝⇑⪆31100)=⇑⪆-332241","reverse_text":"⇑⪆-332241=(⇋⊎⋝(∐⩳⋚(⇑⪆104034⪢⇑⪆140043)))⨎(⇖⫷⫕⇑⪆24320)∊∟⩊(⊬↢⇑⪆13431)∌↝(⇑⪆143440⪔⇑⪆120123⊭↱⇑⪆13110⪮%⊝⇑⪆31100)","cot":[{"info":"⇑⪆104034⪢⇑⪆140043=NaN","layer":3},{"info":"∐⩳⋚NaN=NaN","layer":2},{"info":"⇋⊎⋝NaN=NaN","layer":1},{"info":"⇖⫷⫕⇑⪆24320=⇑⪆42242","layer":3},{"info":"⊬↢⇑⪆13431=⇑⪆1333","layer":3},{"info":"⇑⪆42242∊∟⩊⇑⪆1333=⇑⪆1333","layer":2},{"info":"⇑⪆143440⪔⇑⪆120123=⇑⪆3300","layer":3},{"info":"⇑⪆13110⪮%⊝⇑⪆31100=⇑⪆34001","layer":3},{"info":"⇑⪆3300⊭↱⇑⪆34001=⇑⪆110412","layer":2},{"info":"⇑⪆1333∌↝⇑⪆110412=⇑⪆-332241","layer":1},{"info":"NaN⨎⇑⪆-332241=⇑⪆-332241","layer":0}]}
{"id":58,"expression_no_base_symbol":"(($2059$∽$2474$)⫘($2249$↙$4724$)⨽($3201$⊮⊟↴$1036$⫽⇹≛))↞⋁((($3574$⪃↞⩐)%(∷≠$4361$))⩺⪪(⫟$1826$)⪔($1138$+$3388$))","expression":"((⇑⪆31214∽⇑⪆34344)⫘(⇑⪆32444↙⇑⪆122344)⨽(⇑⪆100301⊮⊟↴⇑⪆13121⫽⇹≛))↞⋁(((⇑⪆103244⪃↞⩐)%(∷≠⇑⪆114421))⩺⪪(⫟⇑⪆24301)⪔(⇑⪆14023+⇑⪆102023))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20658336,"operation_count":14,"complexity_ratio":1475595.4285714286,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2059,"base":5},"right_expr":{"type":"numeric_atoms","value":2474,"base":5}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2249,"base":5},"right_expr":{"type":"numeric_atoms","value":4724,"base":5}}},"right_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3201,"base":5},"right_expr":{"type":"numeric_atoms","value":1036,"base":5}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":3574,"base":5}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":4361,"base":5}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":1826,"base":5}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1138,"base":5},"right_expr":{"type":"numeric_atoms","value":3388,"base":5}}}}},"used_operators":["RqrPlJkxDo","8HhzD0ZcuI","48vC8HMD2b","y4ImoPnbV5","yyfyN0ffXY","NNaDxxp6OQ","QDVgd2eftb","uvdQJvN4PV","k8jYdgA6NY","grXIztHqDa","QiR2Oyf5Xj","GjBEYRfMaF","z4E1FaHLuy","W4YGzv6Whe"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","NTOWxs364D","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","7j4O788W3g","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q"],"result":"-Inf","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2059","layer":4},{"info":"number node, value=2474","layer":4},{"info":"compute binary expreesion, left_input=2059, right_input=2474, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-17539","layer":3},{"info":"number node, value=2249","layer":4},{"info":"number node, value=4724","layer":4},{"info":"compute binary expreesion, left_input=2249, right_input=4724, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14172","layer":3},{"info":"compute binary expreesion, left_input=-17539, right_input=-14172, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=20630269","layer":2},{"info":"number node, value=3201","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=3201, right_input=1036, 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 = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":2},{"info":"compute binary expreesion, left_input=20630269, right_input=272, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":1},{"info":"number node, value=3574","layer":4},{"info":"compute unary expreesion, input=3574, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=21750","layer":3},{"info":"number node, value=4361","layer":4},{"info":"compute unary expreesion, input=4361, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=4361","layer":3},{"info":"compute binary expreesion, left_input=21750, right_input=4361, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4306","layer":2},{"info":"number node, value=1826","layer":4},{"info":"compute unary expreesion, input=1826, 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=-4571","layer":3},{"info":"number node, value=1138","layer":4},{"info":"number node, value=3388","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=3388, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4526","layer":3},{"info":"compute binary expreesion, left_input=-4571, right_input=4526, 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=4306, right_input=450, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-62594","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=-62594, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=-inf","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆31214∽⇑⪆34344)⫘(⇑⪆32444↙⇑⪆122344)⨽(⇑⪆100301⊮⊟↴⇑⪆13121⫽⇹≛))↞⋁(((⇑⪆103244⪃↞⩐)%(∷≠⇑⪆114421))⩺⪪(⫟⇑⪆24301)⪔(⇑⪆14023+⇑⪆102023))=-Inf","reverse_text":"-Inf=((⇑⪆31214∽⇑⪆34344)⫘(⇑⪆32444↙⇑⪆122344)⨽(⇑⪆100301⊮⊟↴⇑⪆13121⫽⇹≛))↞⋁(((⇑⪆103244⪃↞⩐)%(∷≠⇑⪆114421))⩺⪪(⫟⇑⪆24301)⪔(⇑⪆14023+⇑⪆102023))","cot":[{"info":"⇑⪆31214∽⇑⪆34344=⇑⪆-1030124","layer":3},{"info":"⇑⪆32444↙⇑⪆122344=⇑⪆-423142","layer":3},{"info":"⇑⪆-1030124⫘⇑⪆-423142=⇑⪆20240132034","layer":2},{"info":"⇑⪆100301⊮⊟↴⇑⪆13121=⇑⪆0","layer":3},{"info":"⇑⪆0⫽⇹≛=⇑⪆2042","layer":2},{"info":"⇑⪆20240132034⨽⇑⪆2042=-Inf","layer":1},{"info":"⇑⪆103244⪃↞⩐=⇑⪆1144000","layer":3},{"info":"∷≠⇑⪆114421=⇑⪆114421","layer":3},{"info":"⇑⪆1144000%⇑⪆114421=⇑⪆114211","layer":2},{"info":"⫟⇑⪆24301=⇑⪆-121241","layer":3},{"info":"⇑⪆14023+⇑⪆102023=⇑⪆121101","layer":3},{"info":"⇑⪆-121241⪔⇑⪆121101=⇑⪆3300","layer":2},{"info":"⇑⪆114211⩺⪪⇑⪆3300=⇑⪆-4000334","layer":1},{"info":"-Inf↞⋁⇑⪆-4000334=-Inf","layer":0}]}
{"id":59,"expression_no_base_symbol":"(($1215$⋝⋈⪟$3066$*($5221$⨑≵⋬$3278$))⪛⫼($2617$∣$3427$⫔⩽⩺($1248$⩏)))⇻⋧≁((↥≼⋛$3444$⊹∫⫚$6727$)⫸⊐($1495$≒∊$2364$⪁(⊬↢$1346$)))","expression":"((⇑⪆14330⋝⋈⪟⇑⪆44231*(⇑⪆131341⨑≵⋬⇑⪆101103))⪛⫼(⇑⪆40432∣⇑⪆102202⫔⩽⩺(⇑⪆14443⩏)))⇻⋧≁((↥≼⋛⇑⪆102234⊹∫⫚⇑⪆203402)⫸⊐(⇑⪆21440≒∊⇑⪆33424⪁(⊬↢⇑⪆20341)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":969058,"operation_count":14,"complexity_ratio":69218.42857142857,"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":1215,"base":5},"right_expr":{"type":"numeric_atoms","value":3066,"base":5}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":5221,"base":5},"right_expr":{"type":"numeric_atoms","value":3278,"base":5}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2617,"base":5},"right_expr":{"type":"numeric_atoms","value":3427,"base":5}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":1248,"base":5}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3444,"base":5},"right_expr":{"type":"numeric_atoms","value":6727,"base":5}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1495,"base":5},"right_expr":{"type":"numeric_atoms","value":2364,"base":5}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1346,"base":5}}}}},"used_operators":["jCPkEVoL5K","hyuBjUqXlG","9HNa5Wba9A","2DDjHMKMc0","XnXgA4xnOs","i9eR4S00cU","PPChnnnBFF","iA2gmKZ3Wj","mqXw5SEYmG","x5lMkHmzsq","uWAJUKEvyW","I7sXao9hZE","5KTvxBwnZo","WPoGxAaPR1"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","Tw270M8GLb","fu6greOZ01","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","z6LnFrNh4i","Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1215","layer":4},{"info":"number node, value=3066","layer":4},{"info":"compute binary expreesion, left_input=1215, right_input=3066, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1215","layer":3},{"info":"number node, value=5221","layer":4},{"info":"number node, value=3278","layer":4},{"info":"compute binary expreesion, left_input=5221, right_input=3278, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=4538","layer":3},{"info":"compute binary expreesion, left_input=1215, right_input=4538, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5513670","layer":2},{"info":"number node, value=2617","layer":4},{"info":"number node, value=3427","layer":4},{"info":"compute binary expreesion, left_input=2617, right_input=3427, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2617","layer":3},{"info":"number node, value=1248","layer":4},{"info":"compute unary expreesion, input=1248, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2617, right_input=0, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5513670, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":1},{"info":"number node, value=3444","layer":4},{"info":"number node, value=6727","layer":4},{"info":"compute binary expreesion, left_input=3444, right_input=6727, 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":"compute unary expreesion, input=-20, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=13","layer":2},{"info":"number node, value=1495","layer":4},{"info":"number node, value=2364","layer":4},{"info":"compute binary expreesion, left_input=1495, right_input=2364, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1011","layer":3},{"info":"number node, value=1346","layer":4},{"info":"compute unary expreesion, input=1346, 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=-1011, right_input=218, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=26","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=26, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆14330⋝⋈⪟⇑⪆44231*(⇑⪆131341⨑≵⋬⇑⪆101103))⪛⫼(⇑⪆40432∣⇑⪆102202⫔⩽⩺(⇑⪆14443⩏)))⇻⋧≁((↥≼⋛⇑⪆102234⊹∫⫚⇑⪆203402)⫸⊐(⇑⪆21440≒∊⇑⪆33424⪁(⊬↢⇑⪆20341)))=NaN","reverse_text":"NaN=((⇑⪆14330⋝⋈⪟⇑⪆44231*(⇑⪆131341⨑≵⋬⇑⪆101103))⪛⫼(⇑⪆40432∣⇑⪆102202⫔⩽⩺(⇑⪆14443⩏)))⇻⋧≁((↥≼⋛⇑⪆102234⊹∫⫚⇑⪆203402)⫸⊐(⇑⪆21440≒∊⇑⪆33424⪁(⊬↢⇑⪆20341)))","cot":[{"info":"⇑⪆14330⋝⋈⪟⇑⪆44231=⇑⪆14330","layer":3},{"info":"⇑⪆131341⨑≵⋬⇑⪆101103=⇑⪆121123","layer":3},{"info":"⇑⪆14330*⇑⪆121123=⇑⪆2402414140","layer":2},{"info":"⇑⪆40432∣⇑⪆102202=⇑⪆40432","layer":3},{"info":"⇑⪆14443⩏=⇑⪆0","layer":3},{"info":"⇑⪆40432⫔⩽⩺⇑⪆0=NaN","layer":2},{"info":"⇑⪆2402414140⪛⫼NaN=NaN","layer":1},{"info":"⇑⪆102234⊹∫⫚⇑⪆203402=⇑⪆-40","layer":3},{"info":"↥≼⋛⇑⪆-40=⇑⪆23","layer":2},{"info":"⇑⪆21440≒∊⇑⪆33424=⇑⪆-13021","layer":3},{"info":"⊬↢⇑⪆20341=⇑⪆1333","layer":3},{"info":"⇑⪆-13021⪁⇑⪆1333=NaN","layer":2},{"info":"⇑⪆23⫸⊐NaN=⇑⪆101","layer":1},{"info":"NaN⇻⋧≁⇑⪆101=NaN","layer":0}]}
{"id":60,"expression_no_base_symbol":"(($5504$↰)⪢($2123$⋾⨃∁$1071$)⩵∡(⊀($2681$⫃⨇$1573$)))⊋(⨡↴(⇋↷(⊤⊝$4773$)))","expression":"((⇑⪆134004↰)⪢(⇑⪆31443⋾⨃∁⇑⪆13241)⩵∡(⊀(⇑⪆41211⫃⨇⇑⪆22243)))⊋(⨡↴(⇋↷(⊤⊝⇑⪆123043)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1189,"operation_count":10,"complexity_ratio":118.9,"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":5504,"base":5}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2123,"base":5},"right_expr":{"type":"numeric_atoms","value":1071,"base":5}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2681,"base":5},"right_expr":{"type":"numeric_atoms","value":1573,"base":5}}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":4773,"base":5}}}}},"used_operators":["W4tP9CfskL","Y7wcNGrDQJ","dWAJyo7jo9","bl5wxAcryP","212REbPD9h","oPMjh9089D","09Ly4LVMIf","liw5iZPkLH","SWo3A1KBJH","rXAclfmB4M"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","NTOWxs364D","glklzrTFfD","tifHPKVTfV","k8jYdgA6NY","nCS4ZIUYfx","Z2TMIBDE3Q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","P8v4zCKN1o","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","sdazOOVcIp"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5504","layer":4},{"info":"compute unary expreesion, input=5504, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=5403","layer":3},{"info":"number node, value=2123","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=2123, right_input=1071, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=11457464","layer":3},{"info":"compute binary expreesion, left_input=5403, right_input=11457464, 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=2681","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=2681, right_input=1573, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-6324","layer":3},{"info":"compute unary expreesion, input=-6324, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=95643","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=95643, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"number node, value=4773","layer":4},{"info":"compute unary expreesion, input=4773, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=8248","layer":3},{"info":"compute unary expreesion, input=8248, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=65984","layer":2},{"info":"compute unary expreesion, input=65984, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=67033","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67033, 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":5,"result_base":5,"text":"((⇑⪆134004↰)⪢(⇑⪆31443⋾⨃∁⇑⪆13241)⩵∡(⊀(⇑⪆41211⫃⨇⇑⪆22243)))⊋(⨡↴(⇋↷(⊤⊝⇑⪆123043)))=NaN","reverse_text":"NaN=((⇑⪆134004↰)⪢(⇑⪆31443⋾⨃∁⇑⪆13241)⩵∡(⊀(⇑⪆41211⫃⨇⇑⪆22243)))⊋(⨡↴(⇋↷(⊤⊝⇑⪆123043)))","cot":[{"info":"⇑⪆134004↰=⇑⪆133103","layer":3},{"info":"⇑⪆31443⋾⨃∁⇑⪆13241=⇑⪆10413114324","layer":3},{"info":"⇑⪆133103⪢⇑⪆10413114324=NaN","layer":2},{"info":"⇑⪆41211⫃⨇⇑⪆22243=⇑⪆-200244","layer":3},{"info":"⊀⇑⪆-200244=⇑⪆11030033","layer":2},{"info":"NaN⩵∡⇑⪆11030033=NaN","layer":1},{"info":"⊤⊝⇑⪆123043=⇑⪆230443","layer":3},{"info":"⇋↷⇑⪆230443=⇑⪆4102414","layer":2},{"info":"⨡↴⇑⪆4102414=⇑⪆4121113","layer":1},{"info":"NaN⊋⇑⪆4121113=NaN","layer":0}]}
{"id":61,"expression_no_base_symbol":"((⇨($8910$⩘⨬⇊))⊲⩕⊾($1945$≄⊠$1308$≀⩗∶$1542$⩇∃⫛$1093$))≚⊃≕(⇖⫷⫕$1419$∀⇚≩$3890$)∥⊢⊲(($4571$⩚⊴⇥$4215$)↬($1920$⊋≦⊧$5944$))","expression":"((⇨(⇑⪆241120⩘⨬⇊))⊲⩕⊾(⇑⪆30240≄⊠⇑⪆20213≀⩗∶⇑⪆22132⩇∃⫛⇑⪆13333))≚⊃≕(⇖⫷⫕⇑⪆21134∀⇚≩⇑⪆111030)∥⊢⊲((⇑⪆121241⩚⊴⇥⇑⪆113330)↬(⇑⪆30140⊋≦⊧⇑⪆142234))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11730,"operation_count":13,"complexity_ratio":902.3076923076923,"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":8910,"base":5}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1945,"base":5},"right_expr":{"type":"numeric_atoms","value":1308,"base":5}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1542,"base":5},"right_expr":{"type":"numeric_atoms","value":1093,"base":5}}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1419,"base":5},"right_expr":{"type":"numeric_atoms","value":3890,"base":5}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4571,"base":5},"right_expr":{"type":"numeric_atoms","value":4215,"base":5}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1920,"base":5},"right_expr":{"type":"numeric_atoms","value":5944,"base":5}}}}},"used_operators":["Bmrmz2XGnR","DmTXOeWf9t","G9tJMlZ94a","XXmTpEpWTW","8INZBEW696","vXNesLlMH1","1aApVXNlOP","v1UQAVDJRr","UHmRx3INFg","LRNGc0VcxI","B5M0gjZbta","NTOWxs364D","oRDoc9rAEX"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","k8jYdgA6NY","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","EBcxylXtPf","rGHVDoGpnC","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","X99M06cbEe","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8910","layer":4},{"info":"compute unary expreesion, input=8910, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', 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=1945","layer":4},{"info":"number node, value=1308","layer":4},{"info":"compute binary expreesion, left_input=1945, right_input=1308, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=25596","layer":3},{"info":"number node, value=1542","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=1093, 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=24","layer":3},{"info":"compute binary expreesion, left_input=25596, right_input=24, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"number node, value=1419","layer":4},{"info":"number node, value=3890","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=3890, 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 = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"number node, value=4571","layer":4},{"info":"number node, value=4215","layer":4},{"info":"compute binary expreesion, left_input=4571, right_input=4215, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8907","layer":3},{"info":"number node, value=1920","layer":4},{"info":"number node, value=5944","layer":4},{"info":"compute binary expreesion, left_input=1920, right_input=5944, 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=-7624","layer":3},{"info":"compute binary expreesion, left_input=-8907, right_input=-7624, 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=2822, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇨(⇑⪆241120⩘⨬⇊))⊲⩕⊾(⇑⪆30240≄⊠⇑⪆20213≀⩗∶⇑⪆22132⩇∃⫛⇑⪆13333))≚⊃≕(⇖⫷⫕⇑⪆21134∀⇚≩⇑⪆111030)∥⊢⊲((⇑⪆121241⩚⊴⇥⇑⪆113330)↬(⇑⪆30140⊋≦⊧⇑⪆142234))=NaN","reverse_text":"NaN=((⇨(⇑⪆241120⩘⨬⇊))⊲⩕⊾(⇑⪆30240≄⊠⇑⪆20213≀⩗∶⇑⪆22132⩇∃⫛⇑⪆13333))≚⊃≕(⇖⫷⫕⇑⪆21134∀⇚≩⇑⪆111030)∥⊢⊲((⇑⪆121241⩚⊴⇥⇑⪆113330)↬(⇑⪆30140⊋≦⊧⇑⪆142234))","cot":[{"info":"⇑⪆241120⩘⨬⇊=NaN","layer":3},{"info":"⇨NaN=NaN","layer":2},{"info":"⇑⪆30240≄⊠⇑⪆20213=⇑⪆1304341","layer":3},{"info":"⇑⪆22132⩇∃⫛⇑⪆13333=⇑⪆44","layer":3},{"info":"⇑⪆1304341≀⩗∶⇑⪆44=⇑⪆0","layer":2},{"info":"NaN⊲⩕⊾⇑⪆0=NaN","layer":1},{"info":"⇑⪆21134∀⇚≩⇑⪆111030=NaN","layer":3},{"info":"⇖⫷⫕NaN=⇑⪆42242","layer":2},{"info":"⇑⪆121241⩚⊴⇥⇑⪆113330=⇑⪆-241112","layer":3},{"info":"⇑⪆30140⊋≦⊧⇑⪆142234=⇑⪆-220444","layer":3},{"info":"⇑⪆-241112↬⇑⪆-220444=NaN","layer":2},{"info":"⇑⪆42242∥⊢⊲NaN=NaN","layer":1},{"info":"NaN≚⊃≕NaN=NaN","layer":0}]}
{"id":62,"expression_no_base_symbol":"(((≑⋹$2179$)⊭↱(≦∁$4525$))⪭(($1160$⩨$9069$)≎⊠⪸$1150$⇤$5658$))⫏⊷","expression":"(((≑⋹⇑⪆32204)⊭↱(≦∁⇑⪆121100))⪭((⇑⪆14120⩨⇑⪆242234)≎⊠⪸⇑⪆14100⇤⇑⪆140113))⫏⊷","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":298,"operation_count":8,"complexity_ratio":37.25,"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":2179,"base":5}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4525,"base":5}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1160,"base":5},"right_expr":{"type":"numeric_atoms","value":9069,"base":5}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1150,"base":5},"right_expr":{"type":"numeric_atoms","value":5658,"base":5}}}}},"used_operators":["dcShxvzhyw","j9kHMeSvPp","COABgblf1C","6B9nyZLogK","9ICcGScMcE","bJkvcejdHO","2DlMacCsIx","YSKBFp38Pu"],"dependent_operators":["FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⇑⪆-11233","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2179","layer":4},{"info":"compute unary expreesion, input=2179, 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=4525","layer":4},{"info":"compute unary expreesion, input=4525, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4525","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=4525, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5755","layer":2},{"info":"number node, value=1160","layer":4},{"info":"number node, value=9069","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=9069, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-21","layer":3},{"info":"number node, value=1150","layer":4},{"info":"number node, value=5658","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=5658, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-31192","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-31192, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=5755, right_input=67, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"compute unary expreesion, input=5, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-818","layer":0}],"base":5,"result_base":5,"text":"(((≑⋹⇑⪆32204)⊭↱(≦∁⇑⪆121100))⪭((⇑⪆14120⩨⇑⪆242234)≎⊠⪸⇑⪆14100⇤⇑⪆140113))⫏⊷=⇑⪆-11233","reverse_text":"⇑⪆-11233=(((≑⋹⇑⪆32204)⊭↱(≦∁⇑⪆121100))⪭((⇑⪆14120⩨⇑⪆242234)≎⊠⪸⇑⪆14100⇤⇑⪆140113))⫏⊷","cot":[{"info":"≑⋹⇑⪆32204=⇑⪆23100","layer":3},{"info":"≦∁⇑⪆121100=⇑⪆121100","layer":3},{"info":"⇑⪆23100⊭↱⇑⪆121100=⇑⪆141010","layer":2},{"info":"⇑⪆14120⩨⇑⪆242234=⇑⪆-41","layer":3},{"info":"⇑⪆14100⇤⇑⪆140113=⇑⪆-1444232","layer":3},{"info":"⇑⪆-41≎⊠⪸⇑⪆-1444232=⇑⪆232","layer":2},{"info":"⇑⪆141010⪭⇑⪆232=⇑⪆10","layer":1},{"info":"⇑⪆10⫏⊷=⇑⪆-11233","layer":0}]}
{"id":63,"expression_no_base_symbol":"⊑(($1552$⪇≇⋚$3654$)⋝⋈⪟$3599$⨂≜$4988$⋖∅⋲)","expression":"⊑((⇑⪆22202⪇≇⋚⇑⪆104104)⋝⋈⪟⇑⪆103344⨂≜⇑⪆124423⋖∅⋲)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4080,"operation_count":5,"complexity_ratio":816.0,"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":1552,"base":5},"right_expr":{"type":"numeric_atoms","value":3654,"base":5}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3599,"base":5},"right_expr":{"type":"numeric_atoms","value":4988,"base":5}}}}},"used_operators":["IkUmn0D7oy","L95AwlJzhO","2DDjHMKMc0","3sJ7IOPOlU","k1SHOSEABc"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"⇑⪆1232","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=1552","layer":4},{"info":"number node, value=3654","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=3654, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=3599","layer":4},{"info":"number node, value=4988","layer":4},{"info":"compute binary expreesion, left_input=3599, right_input=4988, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"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":1},{"info":"compute unary expreesion, input=nan, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":5,"result_base":5,"text":"⊑((⇑⪆22202⪇≇⋚⇑⪆104104)⋝⋈⪟⇑⪆103344⨂≜⇑⪆124423⋖∅⋲)=⇑⪆1232","reverse_text":"⇑⪆1232=⊑((⇑⪆22202⪇≇⋚⇑⪆104104)⋝⋈⪟⇑⪆103344⨂≜⇑⪆124423⋖∅⋲)","cot":[{"info":"⇑⪆22202⪇≇⋚⇑⪆104104=⇑⪆0","layer":3},{"info":"⇑⪆103344⨂≜⇑⪆124423=NaN","layer":3},{"info":"⇑⪆0⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN⋖∅⋲=NaN","layer":1},{"info":"⊑NaN=⇑⪆1232","layer":0}]}
{"id":64,"expression_no_base_symbol":"(($5675$⪨⊡$2318$)⋥⋵⩄(⪹$4562$)⫭)⊋($1783$∌↝$1959$∑⇟⊟($3086$≧⫂∧$2509$)≬⇓($1357$⊾⪯⋞$5139$)⪨⊡$3853$+⪬∐$1863$)","expression":"((⇑⪆140200⪨⊡⇑⪆33233)⋥⋵⩄(⪹⇑⪆121222)⫭)⊋(⇑⪆24113∌↝⇑⪆30314∑⇟⊟(⇑⪆44321≧⫂∧⇑⪆40014)≬⇓(⇑⪆20412⊾⪯⋞⇑⪆131024)⪨⊡⇑⪆110403+⪬∐⇑⪆24423)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":233,"operation_count":12,"complexity_ratio":19.416666666666668,"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":5675,"base":5},"right_expr":{"type":"numeric_atoms","value":2318,"base":5}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":4562,"base":5}}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1783,"base":5},"right_expr":{"type":"numeric_atoms","value":1959,"base":5}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3086,"base":5},"right_expr":{"type":"numeric_atoms","value":2509,"base":5}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1357,"base":5},"right_expr":{"type":"numeric_atoms","value":5139,"base":5}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3853,"base":5},"right_expr":{"type":"numeric_atoms","value":1863,"base":5}}}}},"used_operators":["W4tP9CfskL","t4WUHVGj7f","7t3wd0Fuz7","kuIXHzHcAH","USyYr0JgAa","jWTQ2TZYIH","U7g4x0WXJJ","9Isq31Ruls","Ph9nP6C5qx","HK0tfVPux8","2GS7woTJqF"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","tifHPKVTfV","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","g55IO6H4Gj","D4vGDi5EA2"],"result":"⇑⪆-142034","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5675","layer":4},{"info":"number node, value=2318","layer":4},{"info":"compute binary expreesion, left_input=5675, right_input=2318, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=4562","layer":4},{"info":"compute unary expreesion, input=4562, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-4382","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4382, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=42276","layer":2},{"info":"compute unary expreesion, input=42276, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=127069","layer":1},{"info":"number node, value=1783","layer":4},{"info":"number node, value=1959","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=1959, 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=3086","layer":4},{"info":"number node, value=2509","layer":4},{"info":"compute binary expreesion, left_input=3086, right_input=2509, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2036","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2036, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1357","layer":4},{"info":"number node, value=5139","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=5139, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=9852","layer":3},{"info":"number node, value=3853","layer":4},{"info":"number node, value=1863","layer":4},{"info":"compute binary expreesion, left_input=3853, right_input=1863, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-11559","layer":3},{"info":"compute binary expreesion, left_input=9852, right_input=-11559, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=47025","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=47025, 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=127069, right_input=-22, 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=-5894","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆140200⪨⊡⇑⪆33233)⋥⋵⩄(⪹⇑⪆121222)⫭)⊋(⇑⪆24113∌↝⇑⪆30314∑⇟⊟(⇑⪆44321≧⫂∧⇑⪆40014)≬⇓(⇑⪆20412⊾⪯⋞⇑⪆131024)⪨⊡⇑⪆110403+⪬∐⇑⪆24423)=⇑⪆-142034","reverse_text":"⇑⪆-142034=((⇑⪆140200⪨⊡⇑⪆33233)⋥⋵⩄(⪹⇑⪆121222)⫭)⊋(⇑⪆24113∌↝⇑⪆30314∑⇟⊟(⇑⪆44321≧⫂∧⇑⪆40014)≬⇓(⇑⪆20412⊾⪯⋞⇑⪆131024)⪨⊡⇑⪆110403+⪬∐⇑⪆24423)","cot":[{"info":"⇑⪆140200⪨⊡⇑⪆33233=⇑⪆0","layer":3},{"info":"⪹⇑⪆121222=⇑⪆-120012","layer":3},{"info":"⇑⪆0⋥⋵⩄⇑⪆-120012=⇑⪆2323101","layer":2},{"info":"⇑⪆2323101⫭=⇑⪆13031234","layer":1},{"info":"⇑⪆24113∌↝⇑⪆30314=⇑⪆0","layer":3},{"info":"⇑⪆44321≧⫂∧⇑⪆40014=⇑⪆31121","layer":3},{"info":"⇑⪆0∑⇟⊟⇑⪆31121=NaN","layer":2},{"info":"⇑⪆20412⊾⪯⋞⇑⪆131024=⇑⪆303402","layer":3},{"info":"⇑⪆110403+⪬∐⇑⪆24423=⇑⪆-332214","layer":3},{"info":"⇑⪆303402⪨⊡⇑⪆-332214=⇑⪆3001100","layer":2},{"info":"NaN≬⇓⇑⪆3001100=⇑⪆-42","layer":1},{"info":"⇑⪆13031234⊋⇑⪆-42=⇑⪆-142034","layer":0}]}
{"id":65,"expression_no_base_symbol":"(≤/$3506$⨸$3214$)⨽∌($1152$∼$4965$⨓$3660$≌$3732$)∲⫓(($4467$⫑%∭)⋓(⋗⩬⋾$3297$)⪐)","expression":"(≤/⇑⪆103011⨸⇑⪆100324)⨽∌(⇑⪆14102∼⇑⪆124330⨓⇑⪆104120≌⇑⪆104412)∲⫓((⇑⪆120332⫑%∭)⋓(⋗⩬⋾⇑⪆101142)⪐)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8546,"operation_count":11,"complexity_ratio":776.9090909090909,"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":3506,"base":5},"right_expr":{"type":"numeric_atoms","value":3214,"base":5}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1152,"base":5},"right_expr":{"type":"numeric_atoms","value":4965,"base":5}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":3660,"base":5},"right_expr":{"type":"numeric_atoms","value":3732,"base":5}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":4467,"base":5}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3297,"base":5}}}}},"used_operators":["i8ToyICDmI","9samAPKr6k","eLAdDNolq6","KmoU8R5UQR","3ViojmjbAp","DyGG3AbaNP","lyWz822IDG","eH2TOUuTDT","T2fj7uvVaJ","xUx7qlDO4z","DpFCA1CohY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3506","layer":4},{"info":"number node, value=3214","layer":4},{"info":"compute binary expreesion, left_input=3506, right_input=3214, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=7012","layer":3},{"info":"compute unary expreesion, input=7012, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6528","layer":2},{"info":"number node, value=1152","layer":4},{"info":"number node, value=4965","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=4965, 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=3660","layer":4},{"info":"number node, value=3732","layer":4},{"info":"compute binary expreesion, left_input=3660, right_input=3732, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6528, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":1},{"info":"number node, value=4467","layer":4},{"info":"compute unary expreesion, input=4467, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"number node, value=3297","layer":4},{"info":"compute unary expreesion, input=3297, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9891","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9891, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-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":5,"result_base":5,"text":"(≤/⇑⪆103011⨸⇑⪆100324)⨽∌(⇑⪆14102∼⇑⪆124330⨓⇑⪆104120≌⇑⪆104412)∲⫓((⇑⪆120332⫑%∭)⋓(⋗⩬⋾⇑⪆101142)⪐)=NaN","reverse_text":"NaN=(≤/⇑⪆103011⨸⇑⪆100324)⨽∌(⇑⪆14102∼⇑⪆124330⨓⇑⪆104120≌⇑⪆104412)∲⫓((⇑⪆120332⫑%∭)⋓(⋗⩬⋾⇑⪆101142)⪐)","cot":[{"info":"⇑⪆103011⨸⇑⪆100324=⇑⪆211022","layer":3},{"info":"≤/⇑⪆211022=⇑⪆-202103","layer":2},{"info":"⇑⪆14102∼⇑⪆124330=NaN","layer":3},{"info":"⇑⪆104120≌⇑⪆104412=NaN","layer":3},{"info":"NaN⨓NaN=NaN","layer":2},{"info":"⇑⪆-202103⨽∌NaN=NaN","layer":1},{"info":"⇑⪆120332⫑%∭=NaN","layer":3},{"info":"⋗⩬⋾⇑⪆101142=⇑⪆-304031","layer":3},{"info":"NaN⋓⇑⪆-304031=⇑⪆0","layer":2},{"info":"⇑⪆0⪐=⇑⪆0","layer":1},{"info":"NaN∲⫓⇑⪆0=NaN","layer":0}]}
{"id":66,"expression_no_base_symbol":"⋎⨆($3027$≭$5639$⊉≛↸($1218$⫡⨏$4581$))⪇≇⋚(↨(⋣$1226$))","expression":"⋎⨆(⇑⪆44102≭⇑⪆140024⊉≛↸(⇑⪆14333⫡⨏⇑⪆121311))⪇≇⋚(↨(⋣⇑⪆14401))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":581,"operation_count":7,"complexity_ratio":83.0,"tree":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3027,"base":5},"right_expr":{"type":"numeric_atoms","value":5639,"base":5}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1218,"base":5},"right_expr":{"type":"numeric_atoms","value":4581,"base":5}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1226,"base":5}}}}},"used_operators":["E64sFOc4tB","3sJ7IOPOlU","DZ8iAZOCBD","rxpJgHHUmx","QMFrweE19q","jiX4gk2v2Q","zQWRhDnn8F"],"dependent_operators":["PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","oZj3VtZNQx","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"⇑⪆4112231002","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3027","layer":4},{"info":"number node, value=5639","layer":4},{"info":"compute binary expreesion, left_input=3027, right_input=5639, 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=1218","layer":4},{"info":"number node, value=4581","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=4581, 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=16035","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16035, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=1226","layer":4},{"info":"compute unary expreesion, input=1226, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-360349","layer":3},{"info":"compute unary expreesion, input=-360349, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":0}],"base":5,"result_base":5,"text":"⋎⨆(⇑⪆44102≭⇑⪆140024⊉≛↸(⇑⪆14333⫡⨏⇑⪆121311))⪇≇⋚(↨(⋣⇑⪆14401))=⇑⪆4112231002","reverse_text":"⇑⪆4112231002=⋎⨆(⇑⪆44102≭⇑⪆140024⊉≛↸(⇑⪆14333⫡⨏⇑⪆121311))⪇≇⋚(↨(⋣⇑⪆14401))","cot":[{"info":"⇑⪆44102≭⇑⪆140024=NaN","layer":3},{"info":"⇑⪆14333⫡⨏⇑⪆121311=⇑⪆1003120","layer":3},{"info":"NaN⊉≛↸⇑⪆1003120=NaN","layer":2},{"info":"⋣⇑⪆14401=⇑⪆-43012344","layer":3},{"info":"↨⇑⪆-43012344=NaN","layer":2},{"info":"NaN⪇≇⋚NaN=NaN","layer":1},{"info":"⋎⨆NaN=⇑⪆4112231002","layer":0}]}
{"id":67,"expression_no_base_symbol":"((∑⇻≧(-$2114$))≬⋮($3474$⨼⩣$6619$⪠⩆⊳))⩖⊿(⩷⨜⫀$2970$↞⋁$2733$⇻⋧≁($4041$∷$2729$))","expression":"((∑⇻≧(-⇑⪆31424))≬⋮(⇑⪆102344⨼⩣⇑⪆202434⪠⩆⊳))⩖⊿(⩷⨜⫀⇑⪆43340↞⋁⇑⪆41413⇻⋧≁(⇑⪆112131∷⇑⪆41404))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":806,"operation_count":10,"complexity_ratio":80.6,"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":2114,"base":5}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3474,"base":5},"right_expr":{"type":"numeric_atoms","value":6619,"base":5}}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2970,"base":5},"right_expr":{"type":"numeric_atoms","value":2733,"base":5}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4041,"base":5},"right_expr":{"type":"numeric_atoms","value":2729,"base":5}}}}},"used_operators":["RZ5CV9rWsJ","kbkesczE7y","l1M9WJ3V7u","t8gj7n24qd","JLbD19bQDL","JxwMv5le6e","CDi0ktkjQ4","jCPkEVoL5K","RqrPlJkxDo","D3AQDKkPcf"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","ruOEQAzv1W","nhYeJWJD5X","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2114","layer":4},{"info":"compute unary expreesion, input=2114, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2114","layer":3},{"info":"compute unary expreesion, input=-2114, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=1940","layer":2},{"info":"number node, value=3474","layer":4},{"info":"number node, value=6619","layer":4},{"info":"compute binary expreesion, left_input=3474, right_input=6619, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1940, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":1},{"info":"number node, value=2970","layer":4},{"info":"number node, value=2733","layer":4},{"info":"compute binary expreesion, left_input=2970, right_input=2733, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=4041","layer":4},{"info":"number node, value=2729","layer":4},{"info":"compute binary expreesion, left_input=4041, right_input=2729, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2729","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2729, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((∑⇻≧(-⇑⪆31424))≬⋮(⇑⪆102344⨼⩣⇑⪆202434⪠⩆⊳))⩖⊿(⩷⨜⫀⇑⪆43340↞⋁⇑⪆41413⇻⋧≁(⇑⪆112131∷⇑⪆41404))=NaN","reverse_text":"NaN=((∑⇻≧(-⇑⪆31424))≬⋮(⇑⪆102344⨼⩣⇑⪆202434⪠⩆⊳))⩖⊿(⩷⨜⫀⇑⪆43340↞⋁⇑⪆41413⇻⋧≁(⇑⪆112131∷⇑⪆41404))","cot":[{"info":"-⇑⪆31424=⇑⪆-31424","layer":3},{"info":"∑⇻≧⇑⪆-31424=⇑⪆30230","layer":2},{"info":"⇑⪆102344⨼⩣⇑⪆202434=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"⇑⪆30230≬⋮NaN=NaN","layer":1},{"info":"⇑⪆43340↞⋁⇑⪆41413=NaN","layer":3},{"info":"⇑⪆112131∷⇑⪆41404=⇑⪆41404","layer":3},{"info":"NaN⇻⋧≁⇑⪆41404=NaN","layer":2},{"info":"⩷⨜⫀NaN=⇑⪆-1014","layer":1},{"info":"NaN⩖⊿⇑⪆-1014=NaN","layer":0}]}
{"id":68,"expression_no_base_symbol":"(($1405$⨌↪)∋($3405$∈)⋖∅⋲)⩌⋺((($2459$↸$2106$)⪡($2515$↱$5236$))≃⋄)","expression":"((⇑⪆21110⨌↪)∋(⇑⪆102110∈)⋖∅⋲)⩌⋺(((⇑⪆34314↸⇑⪆31411)⪡(⇑⪆40030↱⇑⪆131421))≃⋄)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2506,"operation_count":9,"complexity_ratio":278.44444444444446,"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":1405,"base":5}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":3405,"base":5}}}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2459,"base":5},"right_expr":{"type":"numeric_atoms","value":2106,"base":5}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2515,"base":5},"right_expr":{"type":"numeric_atoms","value":5236,"base":5}}}}},"used_operators":["g7Hmc5v1ko","L95AwlJzhO","ukq6epAj5P","cWQsF5MvuD","ztP7wcbY7m","aN9a90urxU","oraRL2iQuh","1eCjFl0mb9","SR5kFfdi6N"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","uFcxV4UQCh","jLgFTUHLKL","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"⇑⪆40302144","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1405","layer":4},{"info":"compute unary expreesion, input=1405, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"number node, value=3405","layer":4},{"info":"compute unary expreesion, input=3405, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=9544","layer":3},{"info":"compute binary expreesion, left_input=-480, right_input=9544, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=19696536","layer":2},{"info":"compute unary expreesion, input=19696536, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":1},{"info":"number node, value=2459","layer":4},{"info":"number node, value=2106","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=2106, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2459","layer":3},{"info":"number node, value=2515","layer":4},{"info":"number node, value=5236","layer":4},{"info":"compute binary expreesion, left_input=2515, right_input=5236, 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=-15186","layer":3},{"info":"compute binary expreesion, left_input=2459, right_input=-15186, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-15081","layer":2},{"info":"compute unary expreesion, input=-15081, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=61936","layer":1},{"info":"compute binary expreesion, left_input=-384231, right_input=61936, 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=322174","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆21110⨌↪)∋(⇑⪆102110∈)⋖∅⋲)⩌⋺(((⇑⪆34314↸⇑⪆31411)⪡(⇑⪆40030↱⇑⪆131421))≃⋄)=⇑⪆40302144","reverse_text":"⇑⪆40302144=((⇑⪆21110⨌↪)∋(⇑⪆102110∈)⋖∅⋲)⩌⋺(((⇑⪆34314↸⇑⪆31411)⪡(⇑⪆40030↱⇑⪆131421))≃⋄)","cot":[{"info":"⇑⪆21110⨌↪=⇑⪆-3410","layer":3},{"info":"⇑⪆102110∈=⇑⪆301134","layer":3},{"info":"⇑⪆-3410∋⇑⪆301134=⇑⪆20020242121","layer":2},{"info":"⇑⪆20020242121⋖∅⋲=⇑⪆-44243411","layer":1},{"info":"⇑⪆34314↸⇑⪆31411=⇑⪆34314","layer":3},{"info":"⇑⪆40030↱⇑⪆131421=⇑⪆-441221","layer":3},{"info":"⇑⪆34314⪡⇑⪆-441221=⇑⪆-440311","layer":2},{"info":"⇑⪆-440311≃⋄=⇑⪆3440221","layer":1},{"info":"⇑⪆-44243411⩌⋺⇑⪆3440221=⇑⪆40302144","layer":0}]}
{"id":69,"expression_no_base_symbol":"((($1845$⇮⋭$1465$)⋓($5575$∠⫱$2136$))⊮⊟↴(($1769$⋭≵$2625$)⪨⊡($3272$≃$1658$)))⪬((($2850$⋷$1548$)∛$1391$∋$3219$)∺≝⩲(⨛$1181$)≁($1642$⨔⇊$1244$))","expression":"(((⇑⪆24340⇮⋭⇑⪆21330)⋓(⇑⪆134300∠⫱⇑⪆32021))⊮⊟↴((⇑⪆24034⋭≵⇑⪆41000)⪨⊡(⇑⪆101042≃⇑⪆23113)))⪬(((⇑⪆42400⋷⇑⪆22143)∛⇑⪆21031∋⇑⪆100334)∺≝⩲(⨛⇑⪆14211)≁(⇑⪆23032⨔⇊⇑⪆14434))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1044,"operation_count":15,"complexity_ratio":69.6,"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":1845,"base":5},"right_expr":{"type":"numeric_atoms","value":1465,"base":5}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":5575,"base":5},"right_expr":{"type":"numeric_atoms","value":2136,"base":5}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1769,"base":5},"right_expr":{"type":"numeric_atoms","value":2625,"base":5}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":3272,"base":5},"right_expr":{"type":"numeric_atoms","value":1658,"base":5}}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2850,"base":5},"right_expr":{"type":"numeric_atoms","value":1548,"base":5}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1391,"base":5},"right_expr":{"type":"numeric_atoms","value":3219,"base":5}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1181,"base":5}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1642,"base":5},"right_expr":{"type":"numeric_atoms","value":1244,"base":5}}}}},"used_operators":["Ez1Nq5fNfI","QDVgd2eftb","T2fj7uvVaJ","vkpjKywKVM","QvoQhV0rrE","kuIXHzHcAH","jBncVCNhdl","YbVcJGFEVW","KPf6cnQVty","w2537kitQq","23Mk6UjR3U","ukq6epAj5P","8N2wDY1A35","CoMdbyAt7R","JclMnS0uGI"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","W4YGzv6Whe","t8gj7n24qd","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"⇑⪆14414","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1845","layer":4},{"info":"number node, value=1465","layer":4},{"info":"compute binary expreesion, left_input=1845, right_input=1465, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=5575","layer":4},{"info":"number node, value=2136","layer":4},{"info":"compute binary expreesion, left_input=5575, right_input=2136, 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=-473, right_input=1234, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=1769","layer":4},{"info":"number node, value=2625","layer":4},{"info":"compute binary expreesion, left_input=1769, right_input=2625, 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=3272","layer":4},{"info":"number node, value=1658","layer":4},{"info":"compute binary expreesion, left_input=3272, right_input=1658, 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=-13128","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-13128, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=53301","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=53301, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"number node, value=2850","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=2850, right_input=1548, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=246","layer":3},{"info":"number node, value=1391","layer":4},{"info":"number node, value=3219","layer":4},{"info":"compute binary expreesion, left_input=1391, right_input=3219, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=6688428","layer":3},{"info":"compute binary expreesion, left_input=246, right_input=6688428, 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=1181","layer":4},{"info":"compute unary expreesion, input=1181, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=1642","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=1642, right_input=1244, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1244, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=nan, 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 = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆24340⇮⋭⇑⪆21330)⋓(⇑⪆134300∠⫱⇑⪆32021))⊮⊟↴((⇑⪆24034⋭≵⇑⪆41000)⪨⊡(⇑⪆101042≃⇑⪆23113)))⪬(((⇑⪆42400⋷⇑⪆22143)∛⇑⪆21031∋⇑⪆100334)∺≝⩲(⨛⇑⪆14211)≁(⇑⪆23032⨔⇊⇑⪆14434))=⇑⪆14414","reverse_text":"⇑⪆14414=(((⇑⪆24340⇮⋭⇑⪆21330)⋓(⇑⪆134300∠⫱⇑⪆32021))⊮⊟↴((⇑⪆24034⋭≵⇑⪆41000)⪨⊡(⇑⪆101042≃⇑⪆23113)))⪬(((⇑⪆42400⋷⇑⪆22143)∛⇑⪆21031∋⇑⪆100334)∺≝⩲(⨛⇑⪆14211)≁(⇑⪆23032⨔⇊⇑⪆14434))","cot":[{"info":"⇑⪆24340⇮⋭⇑⪆21330=⇑⪆-3343","layer":3},{"info":"⇑⪆134300∠⫱⇑⪆32021=⇑⪆14414","layer":3},{"info":"⇑⪆-3343⋓⇑⪆14414=⇑⪆0","layer":2},{"info":"⇑⪆24034⋭≵⇑⪆41000=⇑⪆232","layer":3},{"info":"⇑⪆101042≃⇑⪆23113=⇑⪆-410003","layer":3},{"info":"⇑⪆232⪨⊡⇑⪆-410003=⇑⪆3201201","layer":2},{"info":"⇑⪆0⊮⊟↴⇑⪆3201201=⇑⪆0","layer":1},{"info":"⇑⪆42400⋷⇑⪆22143=⇑⪆1441","layer":3},{"info":"⇑⪆21031∋⇑⪆100334=⇑⪆3203012203","layer":3},{"info":"⇑⪆1441∛⇑⪆3203012203=⇑⪆-10201","layer":2},{"info":"⨛⇑⪆14211=NaN","layer":3},{"info":"⇑⪆23032⨔⇊⇑⪆14434=⇑⪆14434","layer":3},{"info":"NaN≁⇑⪆14434=NaN","layer":2},{"info":"⇑⪆-10201∺≝⩲NaN=⇑⪆1120","layer":1},{"info":"⇑⪆0⪬⇑⪆1120=⇑⪆14414","layer":0}]}
{"id":70,"expression_no_base_symbol":"⨑⩽⪐(⨛$1043$⇴∐$3438$)⇴(⨴⫝(≯$2337$))","expression":"⨑⩽⪐(⨛⇑⪆13133⇴∐⇑⪆102223)⇴(⨴⫝(≯⇑⪆33322))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1926,"operation_count":6,"complexity_ratio":321.0,"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":1043,"base":5},"right_expr":{"type":"numeric_atoms","value":3438,"base":5}}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":2337,"base":5}}}}},"used_operators":["AF7qkfDlqP","4JB6nKBMSY","CoMdbyAt7R","HnzytWxmAO","SVb2v531z1","keWfFq85dY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","NTOWxs364D","COABgblf1C","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","g55IO6H4Gj","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1043","layer":4},{"info":"number node, value=3438","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=3438, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥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=2337","layer":4},{"info":"compute unary expreesion, input=2337, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', 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 binary expreesion, left_input=nan, right_input=2828198, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⨑⩽⪐(⨛⇑⪆13133⇴∐⇑⪆102223)⇴(⨴⫝(≯⇑⪆33322))=NaN","reverse_text":"NaN=⨑⩽⪐(⨛⇑⪆13133⇴∐⇑⪆102223)⇴(⨴⫝(≯⇑⪆33322))","cot":[{"info":"⇑⪆13133⇴∐⇑⪆102223=NaN","layer":3},{"info":"⨛NaN=NaN","layer":2},{"info":"≯⇑⪆33322=⇑⪆0","layer":3},{"info":"⨴⫝⇑⪆0=⇑⪆1211000243","layer":2},{"info":"NaN⇴⇑⪆1211000243=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":71,"expression_no_base_symbol":"≪(⊖($3757$⪁$5567$)⋳⪒$1270$⫗⊷⫓$6797$)","expression":"≪(⊖(⇑⪆110012⪁⇑⪆134232)⋳⪒⇑⪆20040⫗⊷⫓⇑⪆204142)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":18626862,"operation_count":5,"complexity_ratio":3725372.4,"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":3757,"base":5},"right_expr":{"type":"numeric_atoms","value":5567,"base":5}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1270,"base":5},"right_expr":{"type":"numeric_atoms","value":6797,"base":5}}}}},"used_operators":["Qtd6bqUJcN","U6pG0PXrV3","12rbrZMWeM","I7sXao9hZE","zashukvMKz"],"dependent_operators":["3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"⇑⪆12123","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=3757","layer":4},{"info":"number node, value=5567","layer":4},{"info":"compute binary expreesion, left_input=3757, right_input=5567, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1270","layer":4},{"info":"number node, value=6797","layer":4},{"info":"compute binary expreesion, left_input=1270, right_input=6797, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=nan","layer":1},{"info":"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":5,"result_base":5,"text":"≪(⊖(⇑⪆110012⪁⇑⪆134232)⋳⪒⇑⪆20040⫗⊷⫓⇑⪆204142)=⇑⪆12123","reverse_text":"⇑⪆12123=≪(⊖(⇑⪆110012⪁⇑⪆134232)⋳⪒⇑⪆20040⫗⊷⫓⇑⪆204142)","cot":[{"info":"⇑⪆110012⪁⇑⪆134232=NaN","layer":3},{"info":"⇑⪆20040⫗⊷⫓⇑⪆204142=⇑⪆-1014","layer":3},{"info":"NaN⋳⪒⇑⪆-1014=NaN","layer":2},{"info":"⊖NaN=NaN","layer":1},{"info":"≪NaN=⇑⪆12123","layer":0}]}
{"id":72,"expression_no_base_symbol":"(⩰($7768$∴≳≥)⋛($6376$⫢⨠$3341$))∕⩚(⨣⨃⇪($3592$⨔≚≋$4431$))⨜⨶(($5991$⪉⨛$5467$)⪮%⊝($1271$⊊))","expression":"(⩰(⇑⪆222033∴≳≥)⋛(⇑⪆201001⫢⨠⇑⪆101331))∕⩚(⨣⨃⇪(⇑⪆103332⨔≚≋⇑⪆120211))⨜⨶((⇑⪆142431⪉⨛⇑⪆133332)⪮%⊝(⇑⪆20041⊊))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":708,"operation_count":11,"complexity_ratio":64.36363636363636,"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":7768,"base":5}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":6376,"base":5},"right_expr":{"type":"numeric_atoms","value":3341,"base":5}}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3592,"base":5},"right_expr":{"type":"numeric_atoms","value":4431,"base":5}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":5991,"base":5},"right_expr":{"type":"numeric_atoms","value":5467,"base":5}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":1271,"base":5}}}}},"used_operators":["z9ffQ9n5Zr","WkeUrDK8WX","YbUVn0Rbpy","a3N2hFLK0J","xlXykHWxX1","HiPekx5b7W","AcOhelriW5","Z57zeUYC9z","IWmyXbctLI","EWw2JM7wp4","W9R8I5fN5A"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA"],"result":"⇑⪆-3422","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7768","layer":4},{"info":"compute unary expreesion, input=7768, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=31072","layer":3},{"info":"number node, value=6376","layer":4},{"info":"number node, value=3341","layer":4},{"info":"compute binary expreesion, left_input=6376, right_input=3341, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=31072, right_input=160, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=147456","layer":2},{"info":"compute unary expreesion, input=147456, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-148456","layer":1},{"info":"number node, value=3592","layer":4},{"info":"number node, value=4431","layer":4},{"info":"compute binary expreesion, left_input=3592, right_input=4431, 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 = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"number node, value=5991","layer":4},{"info":"number node, value=5467","layer":4},{"info":"compute binary expreesion, left_input=5991, right_input=5467, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=12721","layer":3},{"info":"number node, value=1271","layer":4},{"info":"compute unary expreesion, input=1271, 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=12721, right_input=90927, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=25758","layer":2},{"info":"compute binary expreesion, left_input=1405, right_input=25758, 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=-51260","layer":1},{"info":"compute binary expreesion, left_input=-148456, right_input=-51260, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":5,"result_base":5,"text":"(⩰(⇑⪆222033∴≳≥)⋛(⇑⪆201001⫢⨠⇑⪆101331))∕⩚(⨣⨃⇪(⇑⪆103332⨔≚≋⇑⪆120211))⨜⨶((⇑⪆142431⪉⨛⇑⪆133332)⪮%⊝(⇑⪆20041⊊))=⇑⪆-3422","reverse_text":"⇑⪆-3422=(⩰(⇑⪆222033∴≳≥)⋛(⇑⪆201001⫢⨠⇑⪆101331))∕⩚(⨣⨃⇪(⇑⪆103332⨔≚≋⇑⪆120211))⨜⨶((⇑⪆142431⪉⨛⇑⪆133332)⪮%⊝(⇑⪆20041⊊))","cot":[{"info":"⇑⪆222033∴≳≥=⇑⪆1443242","layer":3},{"info":"⇑⪆201001⫢⨠⇑⪆101331=⇑⪆1120","layer":3},{"info":"⇑⪆1443242⋛⇑⪆1120=⇑⪆14204311","layer":2},{"info":"⩰⇑⪆14204311=⇑⪆-14222311","layer":1},{"info":"⇑⪆103332⨔≚≋⇑⪆120211=⇑⪆303442","layer":3},{"info":"⨣⨃⇪⇑⪆303442=⇑⪆21110","layer":2},{"info":"⇑⪆142431⪉⨛⇑⪆133332=⇑⪆401341","layer":3},{"info":"⇑⪆20041⊊=⇑⪆10402202","layer":3},{"info":"⇑⪆401341⪮%⊝⇑⪆10402202=⇑⪆1311013","layer":2},{"info":"⇑⪆21110⨜⨶⇑⪆1311013=⇑⪆-3120020","layer":1},{"info":"⇑⪆-14222311∕⩚⇑⪆-3120020=⇑⪆-3422","layer":0}]}
{"id":73,"expression_no_base_symbol":"((↣≠⋷$7816$)↳∿⪆($2586$⫚↹⊑$2428$)⪨⊡(⋠∜$4881$)⇣⩺⋵$4607$⨐$1400$)∀⊥⇻","expression":"((↣≠⋷⇑⪆222231)↳∿⪆(⇑⪆40321⫚↹⊑⇑⪆34203)⪨⊡(⋠∜⇑⪆124011)⇣⩺⋵⇑⪆121412⨐⇑⪆21100)∀⊥⇻","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2526,"operation_count":8,"complexity_ratio":315.75,"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":7816,"base":5}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2586,"base":5},"right_expr":{"type":"numeric_atoms","value":2428,"base":5}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":4881,"base":5}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4607,"base":5},"right_expr":{"type":"numeric_atoms","value":1400,"base":5}}}}},"used_operators":["k4iM1060OG","kuIXHzHcAH","Cw4SuJJGHO","Asc51vEJeQ","dfKe02y8D2","F4yD0voBRQ","ZJpFhNJr3x","Noe24qw2ks"],"dependent_operators":["QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","XhwjNDsVaA","AHs5Up7iyr","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7816","layer":4},{"info":"compute unary expreesion, input=7816, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2586","layer":4},{"info":"number node, value=2428","layer":4},{"info":"compute binary expreesion, left_input=2586, right_input=2428, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=4881","layer":4},{"info":"compute unary expreesion, input=4881, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=21808","layer":3},{"info":"number node, value=4607","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=4607, right_input=1400, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-9214","layer":3},{"info":"compute binary expreesion, left_input=21808, right_input=-9214, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=1829","layer":1},{"info":"compute unary expreesion, input=1829, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":0}],"base":5,"result_base":5,"text":"((↣≠⋷⇑⪆222231)↳∿⪆(⇑⪆40321⫚↹⊑⇑⪆34203)⪨⊡(⋠∜⇑⪆124011)⇣⩺⋵⇑⪆121412⨐⇑⪆21100)∀⊥⇻=⇑⪆0","reverse_text":"⇑⪆0=((↣≠⋷⇑⪆222231)↳∿⪆(⇑⪆40321⫚↹⊑⇑⪆34203)⪨⊡(⋠∜⇑⪆124011)⇣⩺⋵⇑⪆121412⨐⇑⪆21100)∀⊥⇻","cot":[{"info":"↣≠⋷⇑⪆222231=NaN","layer":3},{"info":"⇑⪆40321⫚↹⊑⇑⪆34203=⇑⪆-3242","layer":3},{"info":"NaN↳∿⪆⇑⪆-3242=NaN","layer":2},{"info":"⋠∜⇑⪆124011=⇑⪆1144213","layer":3},{"info":"⇑⪆121412⨐⇑⪆21100=⇑⪆-243324","layer":3},{"info":"⇑⪆1144213⇣⩺⋵⇑⪆-243324=⇑⪆-2020","layer":2},{"info":"NaN⪨⊡⇑⪆-2020=⇑⪆24304","layer":1},{"info":"⇑⪆24304∀⊥⇻=⇑⪆0","layer":0}]}
{"id":74,"expression_no_base_symbol":"⇖⫷⫕(⨵(($1800$⫌⩉⩟$1946$)∓⋝($1112$⫚↹⊑$5145$)))","expression":"⇖⫷⫕(⨵((⇑⪆24200⫌⩉⩟⇑⪆30241)∓⋝(⇑⪆13422⫚↹⊑⇑⪆131040)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":11603,"operation_count":5,"complexity_ratio":2320.6,"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":1800,"base":5},"right_expr":{"type":"numeric_atoms","value":1946,"base":5}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1112,"base":5},"right_expr":{"type":"numeric_atoms","value":5145,"base":5}}}}},"used_operators":["UHmRx3INFg","Tl3Y52tvF8","PoHhknlbAi","XIIwhv8d0m","dfKe02y8D2"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"⇑⪆42242","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1800","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=1946, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1112","layer":4},{"info":"number node, value=5145","layer":4},{"info":"compute binary expreesion, left_input=1112, right_input=5145, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=-447, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-263","layer":2},{"info":"compute unary expreesion, input=-263, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=9167","layer":1},{"info":"compute unary expreesion, input=9167, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":5,"result_base":5,"text":"⇖⫷⫕(⨵((⇑⪆24200⫌⩉⩟⇑⪆30241)∓⋝(⇑⪆13422⫚↹⊑⇑⪆131040)))=⇑⪆42242","reverse_text":"⇑⪆42242=⇖⫷⫕(⨵((⇑⪆24200⫌⩉⩟⇑⪆30241)∓⋝(⇑⪆13422⫚↹⊑⇑⪆131040)))","cot":[{"info":"⇑⪆24200⫌⩉⩟⇑⪆30241=⇑⪆-200","layer":3},{"info":"⇑⪆13422⫚↹⊑⇑⪆131040=⇑⪆-3242","layer":3},{"info":"⇑⪆-200∓⋝⇑⪆-3242=⇑⪆-2023","layer":2},{"info":"⨵⇑⪆-2023=⇑⪆243132","layer":1},{"info":"⇖⫷⫕⇑⪆243132=⇑⪆42242","layer":0}]}
{"id":75,"expression_no_base_symbol":"($4928$∓⋝$4884$⨁⊸⫻)≁↽≥(($3928$⋥≓≎$7414$)≬⇓($8253$∽$3667$))⨔⇊(((⇵⪽$1109$)∀⇚≩$1217$⪬$2112$)⋥⋵⩄($1935$⨚⇆$3835$↸($5096$⫔⩽⩺$1305$)))","expression":"(⇑⪆124203∓⋝⇑⪆124014⨁⊸⫻)≁↽≥((⇑⪆111203⋥≓≎⇑⪆214124)≬⇓(⇑⪆231003∽⇑⪆104132))⨔⇊(((⇵⪽⇑⪆13414)∀⇚≩⇑⪆14332⪬⇑⪆31422)⋥⋵⩄(⇑⪆30220⨚⇆⇑⪆110320↸(⇑⪆130341⫔⩽⩺⇑⪆20210)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":25808,"operation_count":14,"complexity_ratio":1843.4285714285713,"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":4928,"base":5},"right_expr":{"type":"numeric_atoms","value":4884,"base":5}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3928,"base":5},"right_expr":{"type":"numeric_atoms","value":7414,"base":5}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":8253,"base":5},"right_expr":{"type":"numeric_atoms","value":3667,"base":5}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":1109,"base":5}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1217,"base":5},"right_expr":{"type":"numeric_atoms","value":2112,"base":5}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1935,"base":5},"right_expr":{"type":"numeric_atoms","value":3835,"base":5}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":5096,"base":5},"right_expr":{"type":"numeric_atoms","value":1305,"base":5}}}}},"used_operators":["JclMnS0uGI","ncHt1X6cMc","glklzrTFfD","PoHhknlbAi","jWTQ2TZYIH","Qy55tPpLXF","y4ImoPnbV5","7t3wd0Fuz7","LRNGc0VcxI","ZGCBLdVRRX","Ez1Nq5fNfI","1eCjFl0mb9","lwHaAYXP2r","i9eR4S00cU"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","QMFrweE19q","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","X99M06cbEe","U7g4x0WXJJ","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4928","layer":4},{"info":"number node, value=4884","layer":4},{"info":"compute binary expreesion, left_input=4928, right_input=4884, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=67","layer":2},{"info":"number node, value=3928","layer":4},{"info":"number node, value=7414","layer":4},{"info":"compute binary expreesion, left_input=3928, right_input=7414, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=10933","layer":3},{"info":"number node, value=8253","layer":4},{"info":"number node, value=3667","layer":4},{"info":"compute binary expreesion, left_input=8253, right_input=3667, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-52088","layer":3},{"info":"compute binary expreesion, left_input=10933, right_input=-52088, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-11506","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-11506, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":1},{"info":"number node, value=1109","layer":4},{"info":"compute unary expreesion, input=1109, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=1217","layer":4},{"info":"number node, value=2112","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=2112, 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 = 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=1935","layer":4},{"info":"number node, value=3835","layer":4},{"info":"compute binary expreesion, left_input=1935, right_input=3835, 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=5096","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=5096, right_input=1305, 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 = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=196, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆124203∓⋝⇑⪆124014⨁⊸⫻)≁↽≥((⇑⪆111203⋥≓≎⇑⪆214124)≬⇓(⇑⪆231003∽⇑⪆104132))⨔⇊(((⇵⪽⇑⪆13414)∀⇚≩⇑⪆14332⪬⇑⪆31422)⋥⋵⩄(⇑⪆30220⨚⇆⇑⪆110320↸(⇑⪆130341⫔⩽⩺⇑⪆20210)))=NaN","reverse_text":"NaN=(⇑⪆124203∓⋝⇑⪆124014⨁⊸⫻)≁↽≥((⇑⪆111203⋥≓≎⇑⪆214124)≬⇓(⇑⪆231003∽⇑⪆104132))⨔⇊(((⇵⪽⇑⪆13414)∀⇚≩⇑⪆14332⪬⇑⪆31422)⋥⋵⩄(⇑⪆30220⨚⇆⇑⪆110320↸(⇑⪆130341⫔⩽⩺⇑⪆20210)))","cot":[{"info":"⇑⪆124203∓⋝⇑⪆124014=⇑⪆232","layer":3},{"info":"⇑⪆232⨁⊸⫻=⇑⪆232","layer":2},{"info":"⇑⪆111203⋥≓≎⇑⪆214124=⇑⪆322213","layer":3},{"info":"⇑⪆231003∽⇑⪆104132=⇑⪆-3131323","layer":3},{"info":"⇑⪆322213≬⇓⇑⪆-3131323=⇑⪆-332011","layer":2},{"info":"⇑⪆232≁↽≥⇑⪆-332011=⇑⪆1241","layer":1},{"info":"⇵⪽⇑⪆13414=NaN","layer":3},{"info":"⇑⪆14332⪬⇑⪆31422=⇑⪆14414","layer":3},{"info":"NaN∀⇚≩⇑⪆14414=NaN","layer":2},{"info":"⇑⪆30220⨚⇆⇑⪆110320=NaN","layer":3},{"info":"⇑⪆130341⫔⩽⩺⇑⪆20210=NaN","layer":3},{"info":"NaN↸NaN=NaN","layer":2},{"info":"NaN⋥⋵⩄NaN=NaN","layer":1},{"info":"⇑⪆1241⨔⇊NaN=NaN","layer":0}]}
{"id":76,"expression_no_base_symbol":"⫖→(⇵⪽$1081$)≌($8857$⨰$6633$)↺(↪⫪⫘$3857$)⨔⇊$1739$⨑⩅≇$3206$","expression":"⫖→(⇵⪽⇑⪆13311)≌(⇑⪆240412⨰⇑⪆203013)↺(↪⫪⫘⇑⪆110412)⨔⇊⇑⪆23424⨑⩅≇⇑⪆100311","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6100,"operation_count":8,"complexity_ratio":762.5,"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":1081,"base":5}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":8857,"base":5},"right_expr":{"type":"numeric_atoms","value":6633,"base":5}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":3857,"base":5}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1739,"base":5},"right_expr":{"type":"numeric_atoms","value":3206,"base":5}}}}},"used_operators":["U4ylXWHChL","7j4O788W3g","lyWz822IDG","ZGCBLdVRRX","eewbuw0ToL","JclMnS0uGI","9dWsAM3GFt","h92wMvzauj"],"dependent_operators":["tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","U7g4x0WXJJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"⇑⪆1202","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1081","layer":4},{"info":"compute unary expreesion, input=1081, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=8857","layer":4},{"info":"number node, value=6633","layer":4},{"info":"compute binary expreesion, left_input=8857, right_input=6633, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2234, 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=3857","layer":4},{"info":"compute unary expreesion, input=3857, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"number node, value=1739","layer":4},{"info":"number node, value=3206","layer":4},{"info":"compute binary expreesion, left_input=1739, right_input=3206, 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=-5217","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=-5217, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":0}],"base":5,"result_base":5,"text":"⫖→(⇵⪽⇑⪆13311)≌(⇑⪆240412⨰⇑⪆203013)↺(↪⫪⫘⇑⪆110412)⨔⇊⇑⪆23424⨑⩅≇⇑⪆100311=⇑⪆1202","reverse_text":"⇑⪆1202=⫖→(⇵⪽⇑⪆13311)≌(⇑⪆240412⨰⇑⪆203013)↺(↪⫪⫘⇑⪆110412)⨔⇊⇑⪆23424⨑⩅≇⇑⪆100311","cot":[{"info":"⇵⪽⇑⪆13311=NaN","layer":3},{"info":"⇑⪆240412⨰⇑⪆203013=⇑⪆32414","layer":3},{"info":"NaN≌⇑⪆32414=NaN","layer":2},{"info":"↪⫪⫘⇑⪆110412=⇑⪆40","layer":3},{"info":"⇑⪆23424⨑⩅≇⇑⪆100311=⇑⪆-131332","layer":3},{"info":"⇑⪆40⨔⇊⇑⪆-131332=⇑⪆232","layer":2},{"info":"NaN↺⇑⪆232=⇑⪆232","layer":1},{"info":"⫖→⇑⪆232=⇑⪆1202","layer":0}]}
{"id":77,"expression_no_base_symbol":"($6907$⋝⋈⪟$2845$∀⋜↑)⊮⊟↴(↞≼($2811$⫸⊐$2406$))⨐⩸⫘((⨆≐≲($4687$∋$2457$))⪑⩈)","expression":"(⇑⪆210112⋝⋈⪟⇑⪆42340∀⋜↑)⊮⊟↴(↞≼(⇑⪆42221⫸⊐⇑⪆34111))⨐⩸⫘((⨆≐≲(⇑⪆122222∋⇑⪆34312))⪑⩈)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":333,"operation_count":9,"complexity_ratio":37.0,"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":6907,"base":5},"right_expr":{"type":"numeric_atoms","value":2845,"base":5}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2811,"base":5},"right_expr":{"type":"numeric_atoms","value":2406,"base":5}}}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":4687,"base":5},"right_expr":{"type":"numeric_atoms","value":2457,"base":5}}}}},"used_operators":["fu6greOZ01","QDVgd2eftb","KipPnG1M2J","2DDjHMKMc0","DE7zCoGJt9","mqXw5SEYmG","C6VvDP6HwP","Bi9z9uYZqW","ukq6epAj5P"],"dependent_operators":["3ViojmjbAp","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6907","layer":4},{"info":"number node, value=2845","layer":4},{"info":"compute binary expreesion, left_input=6907, right_input=2845, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6907","layer":3},{"info":"compute unary expreesion, input=6907, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":2},{"info":"number node, value=2811","layer":4},{"info":"number node, value=2406","layer":4},{"info":"compute binary expreesion, left_input=2811, right_input=2406, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9499","layer":3},{"info":"compute unary expreesion, input=9499, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=75578","layer":2},{"info":"compute binary expreesion, left_input=-484, right_input=75578, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"number node, value=4687","layer":4},{"info":"number node, value=2457","layer":4},{"info":"compute binary expreesion, left_input=4687, right_input=2457, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=5280956","layer":3},{"info":"compute unary expreesion, input=5280956, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=inf","layer":2},{"info":"compute unary expreesion, input=inf, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , 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":5,"result_base":5,"text":"(⇑⪆210112⋝⋈⪟⇑⪆42340∀⋜↑)⊮⊟↴(↞≼(⇑⪆42221⫸⊐⇑⪆34111))⨐⩸⫘((⨆≐≲(⇑⪆122222∋⇑⪆34312))⪑⩈)=NaN","reverse_text":"NaN=(⇑⪆210112⋝⋈⪟⇑⪆42340∀⋜↑)⊮⊟↴(↞≼(⇑⪆42221⫸⊐⇑⪆34111))⨐⩸⫘((⨆≐≲(⇑⪆122222∋⇑⪆34312))⪑⩈)","cot":[{"info":"⇑⪆210112⋝⋈⪟⇑⪆42340=⇑⪆210112","layer":3},{"info":"⇑⪆210112∀⋜↑=⇑⪆-3414","layer":2},{"info":"⇑⪆42221⫸⊐⇑⪆34111=⇑⪆300444","layer":3},{"info":"↞≼⇑⪆300444=⇑⪆4404303","layer":2},{"info":"⇑⪆-3414⊮⊟↴⇑⪆4404303=⇑⪆0","layer":1},{"info":"⇑⪆122222∋⇑⪆34312=⇑⪆2322442311","layer":3},{"info":"⨆≐≲⇑⪆2322442311=Inf","layer":2},{"info":"Inf⪑⩈=NaN","layer":1},{"info":"⇑⪆0⨐⩸⫘NaN=NaN","layer":0}]}
{"id":78,"expression_no_base_symbol":"(⪨⨬($5169$≃$6014$))⫞⩸⩒(($2186$≝⊿$3441$)⨜⨶($1499$⨚$2895$))⩖⊿(($3942$∴$7673$⪡$2713$⪒⊣⊆$4186$)⋐⇩⊬)","expression":"(⪨⨬(⇑⪆131134≃⇑⪆143024))⫞⩸⩒((⇑⪆32221≝⊿⇑⪆102231)⨜⨶(⇑⪆21444⨚⇑⪆43040))⩖⊿((⇑⪆111232∴⇑⪆221143⪡⇑⪆41323⪒⊣⊆⇑⪆113221)⋐⇩⊬)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":137,"operation_count":11,"complexity_ratio":12.454545454545455,"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":5169,"base":5},"right_expr":{"type":"numeric_atoms","value":6014,"base":5}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2186,"base":5},"right_expr":{"type":"numeric_atoms","value":3441,"base":5}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1499,"base":5},"right_expr":{"type":"numeric_atoms","value":2895,"base":5}}}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3942,"base":5},"right_expr":{"type":"numeric_atoms","value":7673,"base":5}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2713,"base":5},"right_expr":{"type":"numeric_atoms","value":4186,"base":5}}}}},"used_operators":["RZ5CV9rWsJ","XGcMNugi78","5obUd6DV38","YbVcJGFEVW","HiPekx5b7W","OKKcZfAt5B","nREPSIbpBE","JuuLT1NoCs","oraRL2iQuh","hrf7POJlIJ","eRqsBgTDFp"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","T2fj7uvVaJ","nlCqmYiOvY","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","12rbrZMWeM","BjRHVeLaeN","12rbrZMWeM","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","sdazOOVcIp","W4YGzv6Whe"],"result":"⇑⪆23300","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5169","layer":4},{"info":"number node, value=6014","layer":4},{"info":"compute binary expreesion, left_input=5169, right_input=6014, 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=-20716","layer":3},{"info":"compute unary expreesion, input=-20716, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"number node, value=2186","layer":4},{"info":"number node, value=3441","layer":4},{"info":"compute binary expreesion, left_input=2186, right_input=3441, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-9601","layer":3},{"info":"number node, value=1499","layer":4},{"info":"number node, value=2895","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=2895, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-7648","layer":3},{"info":"compute binary expreesion, left_input=-9601, right_input=-7648, 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=-141115","layer":2},{"info":"compute binary expreesion, left_input=-526, right_input=-141115, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-526","layer":1},{"info":"number node, value=3942","layer":4},{"info":"number node, value=7673","layer":4},{"info":"compute binary expreesion, left_input=3942, right_input=7673, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=9532","layer":3},{"info":"number node, value=2713","layer":4},{"info":"number node, value=4186","layer":4},{"info":"compute binary expreesion, left_input=2713, right_input=4186, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=5426","layer":3},{"info":"compute binary expreesion, left_input=9532, right_input=5426, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":2},{"info":"compute unary expreesion, input=107, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=107","layer":1},{"info":"compute binary expreesion, left_input=-526, right_input=107, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=1700","layer":0}],"base":5,"result_base":5,"text":"(⪨⨬(⇑⪆131134≃⇑⪆143024))⫞⩸⩒((⇑⪆32221≝⊿⇑⪆102231)⨜⨶(⇑⪆21444⨚⇑⪆43040))⩖⊿((⇑⪆111232∴⇑⪆221143⪡⇑⪆41323⪒⊣⊆⇑⪆113221)⋐⇩⊬)=⇑⪆23300","reverse_text":"⇑⪆23300=(⪨⨬(⇑⪆131134≃⇑⪆143024))⫞⩸⩒((⇑⪆32221≝⊿⇑⪆102231)⨜⨶(⇑⪆21444⨚⇑⪆43040))⩖⊿((⇑⪆111232∴⇑⪆221143⪡⇑⪆41323⪒⊣⊆⇑⪆113221)⋐⇩⊬)","cot":[{"info":"⇑⪆131134≃⇑⪆143024=⇑⪆-1130331","layer":3},{"info":"⪨⨬⇑⪆-1130331=⇑⪆-4101","layer":2},{"info":"⇑⪆32221≝⊿⇑⪆102231=⇑⪆-301401","layer":3},{"info":"⇑⪆21444⨚⇑⪆43040=⇑⪆-221043","layer":3},{"info":"⇑⪆-301401⨜⨶⇑⪆-221043=⇑⪆-14003430","layer":2},{"info":"⇑⪆-4101⫞⩸⩒⇑⪆-14003430=⇑⪆-4101","layer":1},{"info":"⇑⪆111232∴⇑⪆221143=⇑⪆301112","layer":3},{"info":"⇑⪆41323⪒⊣⊆⇑⪆113221=⇑⪆133201","layer":3},{"info":"⇑⪆301112⪡⇑⪆133201=⇑⪆412","layer":2},{"info":"⇑⪆412⋐⇩⊬=⇑⪆412","layer":1},{"info":"⇑⪆-4101⩖⊿⇑⪆412=⇑⪆23300","layer":0}]}
{"id":79,"expression_no_base_symbol":"⊁⨺(($3878$⊾⪯⋞$1174$)≦↸($4641$⫸⊐$1255$)⊋≦⊧(∓⪦(⇨$2783$)))","expression":"⊁⨺((⇑⪆111003⊾⪯⋞⇑⪆14144)≦↸(⇑⪆122031⫸⊐⇑⪆20010)⊋≦⊧(∓⪦(⇨⇑⪆42113)))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":162,"operation_count":7,"complexity_ratio":23.142857142857142,"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":3878,"base":5},"right_expr":{"type":"numeric_atoms","value":1174,"base":5}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4641,"base":5},"right_expr":{"type":"numeric_atoms","value":1255,"base":5}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":2783,"base":5}}}}},"used_operators":["PxiHyQbrIp","oRDoc9rAEX","RygbFNSyEJ","HK0tfVPux8","mqXw5SEYmG","D309nIvmXG","G9tJMlZ94a"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","k8jYdgA6NY"],"result":"⇑⪆1120","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3878","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=3878, right_input=1174, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1922","layer":3},{"info":"number node, value=4641","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=4641, right_input=1255, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4895","layer":3},{"info":"compute binary expreesion, left_input=1922, right_input=4895, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-12953","layer":2},{"info":"number node, value=2783","layer":4},{"info":"compute unary expreesion, input=2783, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', 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 binary expreesion, left_input=-12953, right_input=-2119, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":1},{"info":"compute unary expreesion, input=192, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":0}],"base":5,"result_base":5,"text":"⊁⨺((⇑⪆111003⊾⪯⋞⇑⪆14144)≦↸(⇑⪆122031⫸⊐⇑⪆20010)⊋≦⊧(∓⪦(⇨⇑⪆42113)))=⇑⪆1120","reverse_text":"⇑⪆1120=⊁⨺((⇑⪆111003⊾⪯⋞⇑⪆14144)≦↸(⇑⪆122031⫸⊐⇑⪆20010)⊋≦⊧(∓⪦(⇨⇑⪆42113)))","cot":[{"info":"⇑⪆111003⊾⪯⋞⇑⪆14144=⇑⪆30142","layer":3},{"info":"⇑⪆122031⫸⊐⇑⪆20010=⇑⪆124040","layer":3},{"info":"⇑⪆30142≦↸⇑⪆124040=⇑⪆-403303","layer":2},{"info":"⇨⇑⪆42113=⇑⪆0","layer":3},{"info":"∓⪦⇑⪆0=⇑⪆-31434","layer":2},{"info":"⇑⪆-403303⊋≦⊧⇑⪆-31434=⇑⪆1232","layer":1},{"info":"⊁⨺⇑⪆1232=⇑⪆1120","layer":0}]}
{"id":80,"expression_no_base_symbol":"⩪∧⨌((⇋⊎⋝($8659$⊱⇼⊻$4177$))∪⫐$1792$⋝⋈⪟$2011$⋻⩜⩜$2294$⪎↠$2864$)","expression":"⩪∧⨌((⇋⊎⋝(⇑⪆234114⊱⇼⊻⇑⪆113202))∪⫐⇑⪆24132⋝⋈⪟⇑⪆31021⋻⩜⩜⇑⪆33134⪎↠⇑⪆42424)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2713,"operation_count":7,"complexity_ratio":387.57142857142856,"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":8659,"base":5},"right_expr":{"type":"numeric_atoms","value":4177,"base":5}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1792,"base":5},"right_expr":{"type":"numeric_atoms","value":2011,"base":5}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2294,"base":5},"right_expr":{"type":"numeric_atoms","value":2864,"base":5}}}}},"used_operators":["6iOiAJX1F8","7YooWSwCyH","CzM2PEoXns","FyVja0WsTP","oDCm7WA9JY","2DDjHMKMc0","3tVxb0NHM4"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","rJVOvQCfKK","2DDjHMKMc0","dWAJyo7jo9","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8659","layer":4},{"info":"number node, value=4177","layer":4},{"info":"compute binary expreesion, left_input=8659, right_input=4177, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=1792","layer":4},{"info":"number node, value=2011","layer":4},{"info":"compute binary expreesion, left_input=1792, right_input=2011, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1792","layer":3},{"info":"number node, value=2294","layer":4},{"info":"number node, value=2864","layer":4},{"info":"compute binary expreesion, left_input=2294, right_input=2864, 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=1792, 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=3584","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3584, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":1},{"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":0}],"base":5,"result_base":5,"text":"⩪∧⨌((⇋⊎⋝(⇑⪆234114⊱⇼⊻⇑⪆113202))∪⫐⇑⪆24132⋝⋈⪟⇑⪆31021⋻⩜⩜⇑⪆33134⪎↠⇑⪆42424)=NaN","reverse_text":"NaN=⩪∧⨌((⇋⊎⋝(⇑⪆234114⊱⇼⊻⇑⪆113202))∪⫐⇑⪆24132⋝⋈⪟⇑⪆31021⋻⩜⩜⇑⪆33134⪎↠⇑⪆42424)","cot":[{"info":"⇑⪆234114⊱⇼⊻⇑⪆113202=⇑⪆3214","layer":3},{"info":"⇋⊎⋝⇑⪆3214=NaN","layer":2},{"info":"⇑⪆24132⋝⋈⪟⇑⪆31021=⇑⪆24132","layer":3},{"info":"⇑⪆33134⪎↠⇑⪆42424=⇑⪆1120","layer":3},{"info":"⇑⪆24132⋻⩜⩜⇑⪆1120=⇑⪆103314","layer":2},{"info":"NaN∪⫐⇑⪆103314=NaN","layer":1},{"info":"⩪∧⨌NaN=NaN","layer":0}]}
{"id":81,"expression_no_base_symbol":"(⊙↵-($1973$⫦⪉$5109$↱(↡$1294$)))⊋(⨡↴(⇵⪽$3771$))⪝((≅≯⇸$2063$)⫍⨯↯)","expression":"(⊙↵-(⇑⪆30343⫦⪉⇑⪆130414↱(↡⇑⪆20134)))⊋(⨡↴(⇵⪽⇑⪆110041))⪝((≅≯⇸⇑⪆31223)⫍⨯↯)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":35012,"operation_count":10,"complexity_ratio":3501.2,"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":1973,"base":5},"right_expr":{"type":"numeric_atoms","value":5109,"base":5}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1294,"base":5}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":3771,"base":5}}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":2063,"base":5}}}}},"used_operators":["W4tP9CfskL","oWn0xqSxBt","SR5kFfdi6N","wscyQdcy20","MXaNJeIAZ3","wicAB68Tmb","liw5iZPkLH","ZGCBLdVRRX","ZcwmYACASQ","apS25hmuAe"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","P8v4zCKN1o","U7g4x0WXJJ","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1973","layer":4},{"info":"number node, value=5109","layer":4},{"info":"compute binary expreesion, left_input=1973, right_input=5109, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=954","layer":3},{"info":"number node, value=1294","layer":4},{"info":"compute unary expreesion, input=1294, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=11646","layer":3},{"info":"compute binary expreesion, left_input=954, right_input=11646, 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=-34416","layer":2},{"info":"compute unary expreesion, input=-34416, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":1},{"info":"number node, value=3771","layer":4},{"info":"compute unary expreesion, input=3771, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=nan","layer":2},{"info":"number node, value=2063","layer":4},{"info":"compute unary expreesion, input=2063, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=15929","layer":3},{"info":"compute unary expreesion, input=15929, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=15896","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15896, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=196, 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":5,"result_base":5,"text":"(⊙↵-(⇑⪆30343⫦⪉⇑⪆130414↱(↡⇑⪆20134)))⊋(⨡↴(⇵⪽⇑⪆110041))⪝((≅≯⇸⇑⪆31223)⫍⨯↯)=NaN","reverse_text":"NaN=(⊙↵-(⇑⪆30343⫦⪉⇑⪆130414↱(↡⇑⪆20134)))⊋(⨡↴(⇵⪽⇑⪆110041))⪝((≅≯⇸⇑⪆31223)⫍⨯↯)","cot":[{"info":"⇑⪆30343⫦⪉⇑⪆130414=⇑⪆12304","layer":3},{"info":"↡⇑⪆20134=⇑⪆333041","layer":3},{"info":"⇑⪆12304↱⇑⪆333041=⇑⪆-2100131","layer":2},{"info":"⊙↵-⇑⪆-2100131=⇑⪆1241","layer":1},{"info":"⇵⪽⇑⪆110041=NaN","layer":3},{"info":"⨡↴NaN=NaN","layer":2},{"info":"≅≯⇸⇑⪆31223=⇑⪆1002204","layer":3},{"info":"⇑⪆1002204⫍⨯↯=⇑⪆1002041","layer":2},{"info":"NaN⪝⇑⪆1002041=NaN","layer":1},{"info":"⇑⪆1241⊋NaN=NaN","layer":0}]}
{"id":82,"expression_no_base_symbol":"(($6756$≒∊$7373$⇆⨓≜)⊨($3231$≀⫉$6110$⪉⨛$1283$⩵∡$5810$))⨘","expression":"((⇑⪆204011≒∊⇑⪆213443⇆⨓≜)⊨(⇑⪆100411≀⫉⇑⪆143420⪉⨛⇑⪆20113⩵∡⇑⪆141220))⨘","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":378,"operation_count":7,"complexity_ratio":54.0,"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":6756,"base":5},"right_expr":{"type":"numeric_atoms","value":7373,"base":5}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3231,"base":5},"right_expr":{"type":"numeric_atoms","value":6110,"base":5}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1283,"base":5},"right_expr":{"type":"numeric_atoms","value":5810,"base":5}}}}},"used_operators":["ljcfZBUpm8","vg4gO5BX6G","KvvgdUaMHJ","5KTvxBwnZo","EWw2JM7wp4","oZj3VtZNQx","Y7wcNGrDQJ"],"dependent_operators":["40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","Uaa54Peajs","KYD54nUTWz","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6756","layer":4},{"info":"number node, value=7373","layer":4},{"info":"compute binary expreesion, left_input=6756, right_input=7373, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-6272","layer":3},{"info":"compute unary expreesion, input=-6272, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":2},{"info":"number node, value=3231","layer":4},{"info":"number node, value=6110","layer":4},{"info":"compute binary expreesion, left_input=3231, right_input=6110, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1283","layer":4},{"info":"number node, value=5810","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=5810, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=3123","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=3123, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=5558","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5558, 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 = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆204011≒∊⇑⪆213443⇆⨓≜)⊨(⇑⪆100411≀⫉⇑⪆143420⪉⨛⇑⪆20113⩵∡⇑⪆141220))⨘=NaN","reverse_text":"NaN=((⇑⪆204011≒∊⇑⪆213443⇆⨓≜)⊨(⇑⪆100411≀⫉⇑⪆143420⪉⨛⇑⪆20113⩵∡⇑⪆141220))⨘","cot":[{"info":"⇑⪆204011≒∊⇑⪆213443=⇑⪆-200042","layer":3},{"info":"⇑⪆-200042⇆⨓≜=NaN","layer":2},{"info":"⇑⪆100411≀⫉⇑⪆143420=⇑⪆42242","layer":3},{"info":"⇑⪆20113⩵∡⇑⪆141220=⇑⪆44443","layer":3},{"info":"⇑⪆42242⪉⨛⇑⪆44443=⇑⪆134213","layer":2},{"info":"NaN⊨⇑⪆134213=NaN","layer":1},{"info":"NaN⨘=NaN","layer":0}]}
{"id":83,"expression_no_base_symbol":"((⫎≠⋺$3784$⫁$1576$)↰)⇤(⊑($1830$⋾⨃∁$3117$))∺≝⩲(↘$5847$)≦↸($1008$⨁⊸⫻)","expression":"((⫎≠⋺⇑⪆110114⫁⇑⪆22301)↰)⇤(⊑(⇑⪆24310⋾⨃∁⇑⪆44432))∺≝⩲(↘⇑⪆141342)≦↸(⇑⪆13013⨁⊸⫻)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3735,"operation_count":10,"complexity_ratio":373.5,"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":3784,"base":5},"right_expr":{"type":"numeric_atoms","value":1576,"base":5}}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1830,"base":5},"right_expr":{"type":"numeric_atoms","value":3117,"base":5}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":5847,"base":5}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1008,"base":5}}}}},"used_operators":["YSKBFp38Pu","bl5wxAcryP","LYeZOJ0nQG","0ajvFaJAv0","KPf6cnQVty","IkUmn0D7oy","212REbPD9h","RygbFNSyEJ","LdNpr8hQHL","glklzrTFfD"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","nCS4ZIUYfx","Z2TMIBDE3Q","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","cHh1gJQ2o6","AHs5Up7iyr","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","uFcxV4UQCh","W4YGzv6Whe","rysDP5nf3Z"],"result":"⇑⪆143343","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3784","layer":4},{"info":"number node, value=1576","layer":4},{"info":"compute binary expreesion, left_input=3784, right_input=1576, 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 = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":2},{"info":"compute unary expreesion, input=-709, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=-810","layer":1},{"info":"number node, value=1830","layer":4},{"info":"number node, value=3117","layer":4},{"info":"compute binary expreesion, left_input=1830, 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 unary expreesion, input=97119392, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"number node, value=5847","layer":4},{"info":"compute unary expreesion, input=5847, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=359","layer":3},{"info":"number node, value=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1008","layer":3},{"info":"compute binary expreesion, left_input=359, right_input=1008, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-2053","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=-2053, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-810, right_input=160, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=6098","layer":0}],"base":5,"result_base":5,"text":"((⫎≠⋺⇑⪆110114⫁⇑⪆22301)↰)⇤(⊑(⇑⪆24310⋾⨃∁⇑⪆44432))∺≝⩲(↘⇑⪆141342)≦↸(⇑⪆13013⨁⊸⫻)=⇑⪆143343","reverse_text":"⇑⪆143343=((⫎≠⋺⇑⪆110114⫁⇑⪆22301)↰)⇤(⊑(⇑⪆24310⋾⨃∁⇑⪆44432))∺≝⩲(↘⇑⪆141342)≦↸(⇑⪆13013⨁⊸⫻)","cot":[{"info":"⇑⪆110114⫁⇑⪆22301=⇑⪆1120","layer":3},{"info":"⫎≠⋺⇑⪆1120=⇑⪆-10314","layer":2},{"info":"⇑⪆-10314↰=⇑⪆-11220","layer":1},{"info":"⇑⪆24310⋾⨃∁⇑⪆44432=⇑⪆144330310032","layer":3},{"info":"⊑⇑⪆144330310032=⇑⪆1232","layer":2},{"info":"↘⇑⪆141342=⇑⪆2414","layer":3},{"info":"⇑⪆13013⨁⊸⫻=⇑⪆13013","layer":3},{"info":"⇑⪆2414≦↸⇑⪆13013=⇑⪆-31203","layer":2},{"info":"⇑⪆1232∺≝⩲⇑⪆-31203=⇑⪆1120","layer":1},{"info":"⇑⪆-11220⇤⇑⪆1120=⇑⪆143343","layer":0}]}
{"id":84,"expression_no_base_symbol":"(⨈⫕(⋠∜$2821$)⨔≚≋($4571$∷$4868$))⇯⋐","expression":"(⨈⫕(⋠∜⇑⪆42241)⨔≚≋(⇑⪆121241∷⇑⪆123433))⇯⋐","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":482,"operation_count":5,"complexity_ratio":96.4,"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":2821,"base":5}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4571,"base":5},"right_expr":{"type":"numeric_atoms","value":4868,"base":5}}}}},"used_operators":["LkLIoiE525","megm06wKyl","Z57zeUYC9z","ZJpFhNJr3x","D3AQDKkPcf"],"dependent_operators":["P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"⇑⪆11230","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2821","layer":4},{"info":"compute unary expreesion, input=2821, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=13568","layer":3},{"info":"number node, value=4571","layer":4},{"info":"number node, value=4868","layer":4},{"info":"compute binary expreesion, left_input=4571, right_input=4868, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4868","layer":3},{"info":"compute binary expreesion, left_input=13568, right_input=4868, 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 = 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 = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=815","layer":0}],"base":5,"result_base":5,"text":"(⨈⫕(⋠∜⇑⪆42241)⨔≚≋(⇑⪆121241∷⇑⪆123433))⇯⋐=⇑⪆11230","reverse_text":"⇑⪆11230=(⨈⫕(⋠∜⇑⪆42241)⨔≚≋(⇑⪆121241∷⇑⪆123433))⇯⋐","cot":[{"info":"⋠∜⇑⪆42241=⇑⪆413233","layer":3},{"info":"⇑⪆121241∷⇑⪆123433=⇑⪆123433","layer":3},{"info":"⇑⪆413233⨔≚≋⇑⪆123433=⇑⪆303442","layer":2},{"info":"⨈⫕⇑⪆303442=⇑⪆-41","layer":1},{"info":"⇑⪆-41⇯⋐=⇑⪆11230","layer":0}]}
{"id":85,"expression_no_base_symbol":"↔(($1572$⨑⩅≇$1179$↺$1526$≁↽≥$4859$)⪛⫼($2943$⨘⋶⪀)⫣⪄⊒($1368$⊓⋫))","expression":"↔((⇑⪆22242⨑⩅≇⇑⪆14204↺⇑⪆22101≁↽≥⇑⪆123414)⪛⫼(⇑⪆43233⨘⋶⪀)⫣⪄⊒(⇑⪆20433⊓⋫))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2140,"operation_count":8,"complexity_ratio":267.5,"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":1572,"base":5},"right_expr":{"type":"numeric_atoms","value":1179,"base":5}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1526,"base":5},"right_expr":{"type":"numeric_atoms","value":4859,"base":5}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":2943,"base":5}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":1368,"base":5}}}}},"used_operators":["ruOEQAzv1W","hyuBjUqXlG","7j4O788W3g","h92wMvzauj","ncHt1X6cMc","RabNbG55vr","XVKwrhznBb","IqGBaFP0uj"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","oWn0xqSxBt","3Oe9XWJUTD","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q"],"result":"⇑⪆-10240","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1572","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=1572, right_input=1179, 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=-4716","layer":3},{"info":"number node, value=1526","layer":4},{"info":"number node, value=4859","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=4859, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=32822","layer":3},{"info":"compute binary expreesion, left_input=-4716, right_input=32822, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=32822","layer":2},{"info":"number node, value=2943","layer":4},{"info":"compute unary expreesion, input=2943, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"number node, value=1368","layer":4},{"info":"compute unary expreesion, input=1368, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-1496","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1496, 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=32822, right_input=160, 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 unary expreesion, input=968, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-695","layer":0}],"base":5,"result_base":5,"text":"↔((⇑⪆22242⨑⩅≇⇑⪆14204↺⇑⪆22101≁↽≥⇑⪆123414)⪛⫼(⇑⪆43233⨘⋶⪀)⫣⪄⊒(⇑⪆20433⊓⋫))=⇑⪆-10240","reverse_text":"⇑⪆-10240=↔((⇑⪆22242⨑⩅≇⇑⪆14204↺⇑⪆22101≁↽≥⇑⪆123414)⪛⫼(⇑⪆43233⨘⋶⪀)⫣⪄⊒(⇑⪆20433⊓⋫))","cot":[{"info":"⇑⪆22242⨑⩅≇⇑⪆14204=⇑⪆-122331","layer":3},{"info":"⇑⪆22101≁↽≥⇑⪆123414=⇑⪆2022242","layer":3},{"info":"⇑⪆-122331↺⇑⪆2022242=⇑⪆2022242","layer":2},{"info":"⇑⪆43233⨘⋶⪀=NaN","layer":3},{"info":"⇑⪆20433⊓⋫=⇑⪆-21441","layer":3},{"info":"NaN⫣⪄⊒⇑⪆-21441=⇑⪆1120","layer":2},{"info":"⇑⪆2022242⪛⫼⇑⪆1120=⇑⪆12333","layer":1},{"info":"↔⇑⪆12333=⇑⪆-10240","layer":0}]}
{"id":86,"expression_no_base_symbol":"(($1650$⊋≦⊧$1434$)⇌⫙⪟($4267$+$2987$))∳⫺(⨦⪝$5427$)⩦($4439$≀⫉$1788$)-(∐⩳⋚($2524$⋝⋈⪟$1752$))⪒⊣⊆(($3881$⪔$1464$)⋘⨑⨽)","expression":"((⇑⪆23100⊋≦⊧⇑⪆21214)⇌⫙⪟(⇑⪆114032+⇑⪆43422))∳⫺(⨦⪝⇑⪆133202)⩦(⇑⪆120224≀⫉⇑⪆24123)-(∐⩳⋚(⇑⪆40044⋝⋈⪟⇑⪆24002))⪒⊣⊆((⇑⪆111011⪔⇑⪆21324)⋘⨑⨽)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2057,"operation_count":13,"complexity_ratio":158.23076923076923,"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":1650,"base":5},"right_expr":{"type":"numeric_atoms","value":1434,"base":5}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4267,"base":5},"right_expr":{"type":"numeric_atoms","value":2987,"base":5}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":5427,"base":5}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":4439,"base":5},"right_expr":{"type":"numeric_atoms","value":1788,"base":5}}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2524,"base":5},"right_expr":{"type":"numeric_atoms","value":1752,"base":5}}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3881,"base":5},"right_expr":{"type":"numeric_atoms","value":1464,"base":5}}}}},"used_operators":["rysDP5nf3Z","AzXXKTstlj","AFVx7xoS7T","oRDoc9rAEX","W4YGzv6Whe","0kmYd0q39Y","SUjycxNXIR","oZj3VtZNQx","eRqsBgTDFp","SL6IHkK8vl","2DDjHMKMc0","WmT3o8z6ya","GjBEYRfMaF"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","sdazOOVcIp","W4YGzv6Whe","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"⇑⪆-141210432","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1650","layer":4},{"info":"number node, value=1434","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=1434, 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=-2628","layer":3},{"info":"number node, value=4267","layer":4},{"info":"number node, value=2987","layer":4},{"info":"compute binary expreesion, left_input=4267, right_input=2987, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7254","layer":3},{"info":"compute binary expreesion, left_input=-2628, right_input=7254, 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=5427","layer":4},{"info":"compute unary expreesion, input=5427, 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=4439","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=4439, right_input=1788, 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=-1884, right_input=2822, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-31091","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-31091, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=2524","layer":4},{"info":"number node, value=1752","layer":4},{"info":"compute binary expreesion, left_input=2524, right_input=1752, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2524","layer":3},{"info":"compute unary expreesion, input=2524, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=362741","layer":2},{"info":"number node, value=3881","layer":4},{"info":"number node, value=1464","layer":4},{"info":"compute binary expreesion, left_input=3881, right_input=1464, 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 = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=3033","layer":2},{"info":"compute binary expreesion, left_input=362741, right_input=3033, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=725482","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=725482, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-725742","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆23100⊋≦⊧⇑⪆21214)⇌⫙⪟(⇑⪆114032+⇑⪆43422))∳⫺(⨦⪝⇑⪆133202)⩦(⇑⪆120224≀⫉⇑⪆24123)-(∐⩳⋚(⇑⪆40044⋝⋈⪟⇑⪆24002))⪒⊣⊆((⇑⪆111011⪔⇑⪆21324)⋘⨑⨽)=⇑⪆-141210432","reverse_text":"⇑⪆-141210432=((⇑⪆23100⊋≦⊧⇑⪆21214)⇌⫙⪟(⇑⪆114032+⇑⪆43422))∳⫺(⨦⪝⇑⪆133202)⩦(⇑⪆120224≀⫉⇑⪆24123)-(∐⩳⋚(⇑⪆40044⋝⋈⪟⇑⪆24002))⪒⊣⊆((⇑⪆111011⪔⇑⪆21324)⋘⨑⨽)","cot":[{"info":"⇑⪆23100⊋≦⊧⇑⪆21214=⇑⪆-41003","layer":3},{"info":"⇑⪆114032+⇑⪆43422=⇑⪆213004","layer":3},{"info":"⇑⪆-41003⇌⫙⪟⇑⪆213004=⇑⪆423","layer":2},{"info":"⨦⪝⇑⪆133202=⇑⪆-30014","layer":3},{"info":"⇑⪆120224≀⫉⇑⪆24123=⇑⪆42242","layer":3},{"info":"⇑⪆-30014⩦⇑⪆42242=⇑⪆-1443331","layer":2},{"info":"⇑⪆423∳⫺⇑⪆-1443331=⇑⪆-2020","layer":1},{"info":"⇑⪆40044⋝⋈⪟⇑⪆24002=⇑⪆40044","layer":3},{"info":"∐⩳⋚⇑⪆40044=⇑⪆43101431","layer":2},{"info":"⇑⪆111011⪔⇑⪆21324=⇑⪆3300","layer":3},{"info":"⇑⪆3300⋘⨑⨽=⇑⪆44113","layer":2},{"info":"⇑⪆43101431⪒⊣⊆⇑⪆44113=⇑⪆141203412","layer":1},{"info":"⇑⪆-2020-⇑⪆141203412=⇑⪆-141210432","layer":0}]}
{"id":87,"expression_no_base_symbol":"($1177$∷$1735$)⨽∌($4019$⊋≦⊧$1999$)⪶≀⋏(≸$1306$)⨂≜($1843$∘$1020$)≓∲((⩦⊞$1237$)⊭↱$1634$→⨶⪴$1015$∽(∟⋨($1052$→⨶⪴$1210$)))","expression":"(⇑⪆14202∷⇑⪆23420)⨽∌(⇑⪆112034⊋≦⊧⇑⪆30444)⪶≀⋏(≸⇑⪆20211)⨂≜(⇑⪆24333∘⇑⪆13040)≓∲((⩦⊞⇑⪆14422)⊭↱⇑⪆23014→⨶⪴⇑⪆13030∽(∟⋨(⇑⪆13202→⨶⪴⇑⪆14320)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4002,"operation_count":14,"complexity_ratio":285.85714285714283,"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":1177,"base":5},"right_expr":{"type":"numeric_atoms","value":1735,"base":5}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4019,"base":5},"right_expr":{"type":"numeric_atoms","value":1999,"base":5}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1306,"base":5}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1843,"base":5},"right_expr":{"type":"numeric_atoms","value":1020,"base":5}}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1237,"base":5}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1634,"base":5},"right_expr":{"type":"numeric_atoms","value":1015,"base":5}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1052,"base":5},"right_expr":{"type":"numeric_atoms","value":1210,"base":5}}}}},"used_operators":["s1XTVnmDOJ","zR4jO40bMj","9samAPKr6k","D3AQDKkPcf","oRDoc9rAEX","k1SHOSEABc","eOf03JbCpp","Z5m6OM72h2","y4ImoPnbV5","COABgblf1C","u7fv1HBiaC","bF6eod5Gvf","ctOc4cKSDt"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","NTOWxs364D","7j4O788W3g","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","eH2TOUuTDT","rysDP5nf3Z","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","8w2t5hMYqp","9FxExcQeMw","eLAdDNolq6","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1177","layer":4},{"info":"number node, value=1735","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=1735, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1735","layer":3},{"info":"number node, value=4019","layer":4},{"info":"number node, value=1999","layer":4},{"info":"compute binary expreesion, left_input=4019, right_input=1999, 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=-3758","layer":3},{"info":"compute binary expreesion, left_input=1735, right_input=-3758, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=1306","layer":4},{"info":"compute unary expreesion, input=1306, 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=1843","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=1843, right_input=1020, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3686","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=3686, 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 = 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=1237","layer":4},{"info":"compute unary expreesion, input=1237, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-964","layer":3},{"info":"number node, value=1634","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=1634, right_input=1015, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3045","layer":3},{"info":"compute binary expreesion, left_input=-964, right_input=-3045, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4157","layer":2},{"info":"number node, value=1052","layer":4},{"info":"number node, value=1210","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=1210, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3630","layer":3},{"info":"compute unary expreesion, input=-3630, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=4114","layer":2},{"info":"compute binary expreesion, left_input=-4157, right_input=4114, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=8621","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8621, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆14202∷⇑⪆23420)⨽∌(⇑⪆112034⊋≦⊧⇑⪆30444)⪶≀⋏(≸⇑⪆20211)⨂≜(⇑⪆24333∘⇑⪆13040)≓∲((⩦⊞⇑⪆14422)⊭↱⇑⪆23014→⨶⪴⇑⪆13030∽(∟⋨(⇑⪆13202→⨶⪴⇑⪆14320)))=NaN","reverse_text":"NaN=(⇑⪆14202∷⇑⪆23420)⨽∌(⇑⪆112034⊋≦⊧⇑⪆30444)⪶≀⋏(≸⇑⪆20211)⨂≜(⇑⪆24333∘⇑⪆13040)≓∲((⩦⊞⇑⪆14422)⊭↱⇑⪆23014→⨶⪴⇑⪆13030∽(∟⋨(⇑⪆13202→⨶⪴⇑⪆14320)))","cot":[{"info":"⇑⪆14202∷⇑⪆23420=⇑⪆23420","layer":3},{"info":"⇑⪆112034⊋≦⊧⇑⪆30444=⇑⪆-110013","layer":3},{"info":"⇑⪆23420⨽∌⇑⪆-110013=⇑⪆0","layer":2},{"info":"≸⇑⪆20211=⇑⪆213","layer":3},{"info":"⇑⪆24333∘⇑⪆13040=⇑⪆104221","layer":3},{"info":"⇑⪆213⨂≜⇑⪆104221=NaN","layer":2},{"info":"⇑⪆0⪶≀⋏NaN=NaN","layer":1},{"info":"⩦⊞⇑⪆14422=⇑⪆-12324","layer":3},{"info":"⇑⪆23014→⨶⪴⇑⪆13030=⇑⪆-44140","layer":3},{"info":"⇑⪆-12324⊭↱⇑⪆-44140=⇑⪆-113112","layer":2},{"info":"⇑⪆13202→⨶⪴⇑⪆14320=⇑⪆-104010","layer":3},{"info":"∟⋨⇑⪆-104010=⇑⪆112424","layer":2},{"info":"⇑⪆-113112∽⇑⪆112424=⇑⪆233441","layer":1},{"info":"NaN≓∲⇑⪆233441=NaN","layer":0}]}
{"id":88,"expression_no_base_symbol":"($5684$∥⊢⊲$2188$⫥∨⫟(⫇$1370$))⪭(⩦⩻⨪$7664$⪡$4297$)∀⇚≩($1540$⪢$5609$)⪮%⊝$2998$⪬$4996$∀⇚≩$1474$⩁⩘$1521$≹⇙⪍($1683$⫸⇳$2789$)","expression":"(⇑⪆140214∥⊢⊲⇑⪆32223⫥∨⫟(⫇⇑⪆20440))⪭(⩦⩻⨪⇑⪆221124⪡⇑⪆114142)∀⇚≩(⇑⪆22130⪢⇑⪆134414)⪮%⊝⇑⪆43443⪬⇑⪆124441∀⇚≩⇑⪆21344⩁⩘⇑⪆22041≹⇙⪍(⇑⪆23213⫸⇳⇑⪆42124)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6457,"operation_count":14,"complexity_ratio":461.2142857142857,"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":5684,"base":5},"right_expr":{"type":"numeric_atoms","value":2188,"base":5}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1370,"base":5}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":7664,"base":5},"right_expr":{"type":"numeric_atoms","value":4297,"base":5}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1540,"base":5},"right_expr":{"type":"numeric_atoms","value":5609,"base":5}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2998,"base":5},"right_expr":{"type":"numeric_atoms","value":4996,"base":5}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1474,"base":5},"right_expr":{"type":"numeric_atoms","value":1521,"base":5}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1683,"base":5},"right_expr":{"type":"numeric_atoms","value":2789,"base":5}}}}},"used_operators":["LRNGc0VcxI","j9kHMeSvPp","KYD54nUTWz","v1UQAVDJRr","YjI8oCXuph","2td37pGCOC","oraRL2iQuh","IWmyXbctLI","dWAJyo7jo9","Ez1Nq5fNfI","AHs5Up7iyr","gub5Cegaqo","gx7XJ7hdpj"],"dependent_operators":["X99M06cbEe","COABgblf1C","xUOZtlo3hN","8HhzD0ZcuI","rGHVDoGpnC","EBcxylXtPf","rGHVDoGpnC","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","dWAJyo7jo9","DpFCA1CohY","IWmyXbctLI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5684","layer":4},{"info":"number node, value=2188","layer":4},{"info":"compute binary expreesion, left_input=5684, right_input=2188, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1370","layer":4},{"info":"compute unary expreesion, input=1370, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-1526","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1526, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=7664","layer":4},{"info":"number node, value=4297","layer":4},{"info":"compute binary expreesion, left_input=7664, right_input=4297, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=107","layer":2},{"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":1},{"info":"number node, value=1540","layer":4},{"info":"number node, value=5609","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=5609, 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=2998","layer":4},{"info":"number node, value=4996","layer":4},{"info":"compute binary expreesion, left_input=2998, right_input=4996, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1474","layer":4},{"info":"number node, value=1521","layer":4},{"info":"compute binary expreesion, left_input=1474, right_input=1521, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=7032","layer":3},{"info":"number node, value=1683","layer":4},{"info":"number node, value=2789","layer":4},{"info":"compute binary expreesion, left_input=1683, right_input=2789, 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=7032, 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=7032","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7032, 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=5, 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":5,"result_base":5,"text":"(⇑⪆140214∥⊢⊲⇑⪆32223⫥∨⫟(⫇⇑⪆20440))⪭(⩦⩻⨪⇑⪆221124⪡⇑⪆114142)∀⇚≩(⇑⪆22130⪢⇑⪆134414)⪮%⊝⇑⪆43443⪬⇑⪆124441∀⇚≩⇑⪆21344⩁⩘⇑⪆22041≹⇙⪍(⇑⪆23213⫸⇳⇑⪆42124)=NaN","reverse_text":"NaN=(⇑⪆140214∥⊢⊲⇑⪆32223⫥∨⫟(⫇⇑⪆20440))⪭(⩦⩻⨪⇑⪆221124⪡⇑⪆114142)∀⇚≩(⇑⪆22130⪢⇑⪆134414)⪮%⊝⇑⪆43443⪬⇑⪆124441∀⇚≩⇑⪆21344⩁⩘⇑⪆22041≹⇙⪍(⇑⪆23213⫸⇳⇑⪆42124)","cot":[{"info":"⇑⪆140214∥⊢⊲⇑⪆32223=NaN","layer":3},{"info":"⫇⇑⪆20440=⇑⪆-22101","layer":3},{"info":"NaN⫥∨⫟⇑⪆-22101=NaN","layer":2},{"info":"⇑⪆221124⪡⇑⪆114142=⇑⪆412","layer":3},{"info":"⩦⩻⨪⇑⪆412=⇑⪆412","layer":2},{"info":"NaN⪭⇑⪆412=⇑⪆10","layer":1},{"info":"⇑⪆22130⪢⇑⪆134414=NaN","layer":3},{"info":"⇑⪆43443⪬⇑⪆124441=⇑⪆14414","layer":3},{"info":"NaN⪮%⊝⇑⪆14414=NaN","layer":2},{"info":"⇑⪆21344⩁⩘⇑⪆22041=⇑⪆211112","layer":3},{"info":"⇑⪆23213⫸⇳⇑⪆42124=⇑⪆0","layer":3},{"info":"⇑⪆211112≹⇙⪍⇑⪆0=⇑⪆211112","layer":2},{"info":"NaN∀⇚≩⇑⪆211112=NaN","layer":1},{"info":"⇑⪆10∀⇚≩NaN=NaN","layer":0}]}
{"id":89,"expression_no_base_symbol":"($2404$⨔≚≋$1423$⪐)⫁⪎(($3421$⪹)≥⨤⩑($1105$∀⊥⇻))⨳⩥⨓($7916$∣$6659$≠≀(∜⨇$3447$))⩍⋽⫝̸($6852$⪚⩙≫)≎⪠(∮$6196$)","expression":"(⇑⪆34104⨔≚≋⇑⪆21143⪐)⫁⪎((⇑⪆102141⪹)≥⨤⩑(⇑⪆13410∀⊥⇻))⨳⩥⨓(⇑⪆223131∣⇑⪆203114≠≀(∜⨇⇑⪆102242))⩍⋽⫝̸(⇑⪆204402⪚⩙≫)≎⪠(∮⇑⪆144241)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":19625,"operation_count":14,"complexity_ratio":1401.7857142857142,"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":2404,"base":5},"right_expr":{"type":"numeric_atoms","value":1423,"base":5}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":3421,"base":5}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":1105,"base":5}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":7916,"base":5},"right_expr":{"type":"numeric_atoms","value":6659,"base":5}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":3447,"base":5}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":6852,"base":5}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":6196,"base":5}}}}},"used_operators":["nCS4ZIUYfx","xRrnTEsQ6j","eH2TOUuTDT","Z57zeUYC9z","gJLn6v0xnP","B3sABdIn96","k4iM1060OG","BiWNJpBvwn","IwW236VD4Y","PPChnnnBFF","uFPyJr306J","aNhz54LH3e","4n53wtyJvv","CqXKPLVYql"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","Ph9nP6C5qx","xUOZtlo3hN","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"⇑⪆402","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2404","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=2404, right_input=1423, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=19744","layer":2},{"info":"number node, value=3421","layer":4},{"info":"compute unary expreesion, input=3421, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=11334","layer":3},{"info":"number node, value=1105","layer":4},{"info":"compute unary expreesion, input=1105, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=11334, 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 binary expreesion, left_input=19744, right_input=1234, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=18510","layer":1},{"info":"number node, value=7916","layer":4},{"info":"number node, value=6659","layer":4},{"info":"compute binary expreesion, left_input=7916, right_input=6659, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=7916","layer":3},{"info":"number node, value=3447","layer":4},{"info":"compute unary expreesion, input=3447, 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=7916, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-15526","layer":2},{"info":"number node, value=6852","layer":4},{"info":"compute unary expreesion, input=6852, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"number node, value=6196","layer":4},{"info":"compute unary expreesion, input=6196, 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=nan, 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":2},{"info":"compute binary expreesion, left_input=-15526, right_input=19558, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=18612","layer":1},{"info":"compute binary expreesion, left_input=18510, right_input=18612, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=102","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆34104⨔≚≋⇑⪆21143⪐)⫁⪎((⇑⪆102141⪹)≥⨤⩑(⇑⪆13410∀⊥⇻))⨳⩥⨓(⇑⪆223131∣⇑⪆203114≠≀(∜⨇⇑⪆102242))⩍⋽⫝̸(⇑⪆204402⪚⩙≫)≎⪠(∮⇑⪆144241)=⇑⪆402","reverse_text":"⇑⪆402=(⇑⪆34104⨔≚≋⇑⪆21143⪐)⫁⪎((⇑⪆102141⪹)≥⨤⩑(⇑⪆13410∀⊥⇻))⨳⩥⨓(⇑⪆223131∣⇑⪆203114≠≀(∜⨇⇑⪆102242))⩍⋽⫝̸(⇑⪆204402⪚⩙≫)≎⪠(∮⇑⪆144241)","cot":[{"info":"⇑⪆34104⨔≚≋⇑⪆21143=⇑⪆303442","layer":3},{"info":"⇑⪆303442⪐=⇑⪆1112434","layer":2},{"info":"⇑⪆102141⪹=⇑⪆330314","layer":3},{"info":"⇑⪆13410∀⊥⇻=⇑⪆0","layer":3},{"info":"⇑⪆330314≥⨤⩑⇑⪆0=⇑⪆14414","layer":2},{"info":"⇑⪆1112434⫁⪎⇑⪆14414=⇑⪆1043020","layer":1},{"info":"⇑⪆223131∣⇑⪆203114=⇑⪆223131","layer":3},{"info":"∜⨇⇑⪆102242=NaN","layer":3},{"info":"⇑⪆223131≠≀NaN=⇑⪆-444101","layer":2},{"info":"⇑⪆204402⪚⩙≫=NaN","layer":3},{"info":"∮⇑⪆144241=⇑⪆232","layer":3},{"info":"NaN≎⪠⇑⪆232=⇑⪆1111213","layer":2},{"info":"⇑⪆-444101⩍⋽⫝̸⇑⪆1111213=⇑⪆1043422","layer":1},{"info":"⇑⪆1043020⨳⩥⨓⇑⪆1043422=⇑⪆402","layer":0}]}
{"id":90,"expression_no_base_symbol":"($1111$⨜⨶$2461$⋥≓≎$2006$⊬⨰$2156$)⇍⊗(⩩($8422$⫰⋱$2051$))⫒⫫((⇤←$1582$)⫥∨⫟$3128$⨔≚≋$5372$)≚⊃≕(($1162$≫≃)⫸⇳($1564$⨑≵⋬$4609$))","expression":"(⇑⪆13421⨜⨶⇑⪆34321⋥≓≎⇑⪆31011⊬⨰⇑⪆32111)⇍⊗(⩩(⇑⪆232142⫰⋱⇑⪆31201))⫒⫫((⇤←⇑⪆22312)⫥∨⫟⇑⪆100003⨔≚≋⇑⪆132442)≚⊃≕((⇑⪆14122≫≃)⫸⇳(⇑⪆22224⨑≵⋬⇑⪆121414))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":9735,"operation_count":14,"complexity_ratio":695.3571428571429,"tree":{"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":5},"right_expr":{"type":"numeric_atoms","value":2461,"base":5}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2006,"base":5},"right_expr":{"type":"numeric_atoms","value":2156,"base":5}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":8422,"base":5},"right_expr":{"type":"numeric_atoms","value":2051,"base":5}}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1582,"base":5}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3128,"base":5},"right_expr":{"type":"numeric_atoms","value":5372,"base":5}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1162,"base":5}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1564,"base":5},"right_expr":{"type":"numeric_atoms","value":4609,"base":5}}}}},"used_operators":["6Ko8hGgeMq","5uvYHDjeKN","Qy55tPpLXF","HiPekx5b7W","s3Fd5m9Dh2","kMhfGuqI2H","6o9Blt3TJ6","Bmrmz2XGnR","KYD54nUTWz","jfAgQ2OQeM","Z57zeUYC9z","gx7XJ7hdpj","X99M06cbEe","XnXgA4xnOs"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1111","layer":4},{"info":"number node, value=2461","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=2461, 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=-4666","layer":3},{"info":"number node, value=2006","layer":4},{"info":"number node, value=2156","layer":4},{"info":"compute binary expreesion, left_input=2006, right_input=2156, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=9574","layer":3},{"info":"compute binary expreesion, left_input=-4666, right_input=9574, 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=8422","layer":4},{"info":"number node, value=2051","layer":4},{"info":"compute binary expreesion, left_input=8422, right_input=2051, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-8389","layer":3},{"info":"compute unary expreesion, input=-8389, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":1},{"info":"number node, value=1582","layer":4},{"info":"compute unary expreesion, input=1582, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-6544","layer":3},{"info":"number node, value=3128","layer":4},{"info":"number node, value=5372","layer":4},{"info":"compute binary expreesion, left_input=3128, right_input=5372, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-6544, right_input=9872, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1162","layer":4},{"info":"compute unary expreesion, input=1162, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3725","layer":3},{"info":"number node, value=1564","layer":4},{"info":"number node, value=4609","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=4609, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-23064","layer":3},{"info":"compute binary expreesion, left_input=3725, right_input=-23064, 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 = 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 binary expreesion, left_input=nan, right_input=67, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆13421⨜⨶⇑⪆34321⋥≓≎⇑⪆31011⊬⨰⇑⪆32111)⇍⊗(⩩(⇑⪆232142⫰⋱⇑⪆31201))⫒⫫((⇤←⇑⪆22312)⫥∨⫟⇑⪆100003⨔≚≋⇑⪆132442)≚⊃≕((⇑⪆14122≫≃)⫸⇳(⇑⪆22224⨑≵⋬⇑⪆121414))=NaN","reverse_text":"NaN=(⇑⪆13421⨜⨶⇑⪆34321⋥≓≎⇑⪆31011⊬⨰⇑⪆32111)⇍⊗(⩩(⇑⪆232142⫰⋱⇑⪆31201))⫒⫫((⇤←⇑⪆22312)⫥∨⫟⇑⪆100003⨔≚≋⇑⪆132442)≚⊃≕((⇑⪆14122≫≃)⫸⇳(⇑⪆22224⨑≵⋬⇑⪆121414))","cot":[{"info":"⇑⪆13421⨜⨶⇑⪆34321=⇑⪆-122131","layer":3},{"info":"⇑⪆31011⊬⨰⇑⪆32111=⇑⪆301244","layer":3},{"info":"⇑⪆-122131⋥≓≎⇑⪆301244=⇑⪆232","layer":2},{"info":"⇑⪆232142⫰⋱⇑⪆31201=⇑⪆-232024","layer":3},{"info":"⩩⇑⪆-232024=NaN","layer":2},{"info":"⇑⪆232⇍⊗NaN=NaN","layer":1},{"info":"⇤←⇑⪆22312=⇑⪆-202134","layer":3},{"info":"⇑⪆100003⨔≚≋⇑⪆132442=⇑⪆303442","layer":3},{"info":"⇑⪆-202134⫥∨⫟⇑⪆303442=NaN","layer":2},{"info":"⇑⪆14122≫≃=⇑⪆104400","layer":3},{"info":"⇑⪆22224⨑≵⋬⇑⪆121414=⇑⪆-1214224","layer":3},{"info":"⇑⪆104400⫸⇳⇑⪆-1214224=⇑⪆0","layer":2},{"info":"NaN≚⊃≕⇑⪆0=⇑⪆232","layer":1},{"info":"NaN⫒⫫⇑⪆232=NaN","layer":0}]}
{"id":91,"expression_no_base_symbol":"($1253$⨳⩥⨓$2705$)↢($1661$⫑)∓⋝(⨈⪑($7004$⨰$5154$))⋾⨃∁($1480$⇻⋧≁$1647$⊢)⪥(≅≯⇸$1120$⨒$4929$)","expression":"(⇑⪆20003⨳⩥⨓⇑⪆41310)↢(⇑⪆23121⫑)∓⋝(⨈⪑(⇑⪆211004⨰⇑⪆131104))⋾⨃∁(⇑⪆21410⇻⋧≁⇑⪆23042⊢)⪥(≅≯⇸⇑⪆13440⨒⇑⪆124204)","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3673,"operation_count":12,"complexity_ratio":306.0833333333333,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1253,"base":5},"right_expr":{"type":"numeric_atoms","value":2705,"base":5}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":1661,"base":5}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7004,"base":5},"right_expr":{"type":"numeric_atoms","value":5154,"base":5}}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1480,"base":5},"right_expr":{"type":"numeric_atoms","value":1647,"base":5}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1120,"base":5},"right_expr":{"type":"numeric_atoms","value":4929,"base":5}}}}},"used_operators":["212REbPD9h","PoHhknlbAi","WR6HLWljOP","nCS4ZIUYfx","CgIo77xlM2","mp94q5OcYM","eewbuw0ToL","QbnwKVWMIQ","40aOVDgCDB","jCPkEVoL5K","apS25hmuAe","y75s1iXyHd"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","NTOWxs364D","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","EBcxylXtPf","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"⇑⪆31240141042","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1253","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=1253, right_input=2705, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1452","layer":3},{"info":"number node, value=1661","layer":4},{"info":"compute unary expreesion, input=1661, 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=1452, right_input=3979, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=968","layer":2},{"info":"number node, value=7004","layer":4},{"info":"number node, value=5154","layer":4},{"info":"compute binary expreesion, left_input=7004, right_input=5154, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1860","layer":3},{"info":"compute unary expreesion, input=1860, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=868, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=1480","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=1647, 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 = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-447","layer":2},{"info":"number node, value=1120","layer":4},{"info":"number node, value=4929","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=4929, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-6348","layer":3},{"info":"compute unary expreesion, input=-6348, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-17715","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-17715, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-1798, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=32349522","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆20003⨳⩥⨓⇑⪆41310)↢(⇑⪆23121⫑)∓⋝(⨈⪑(⇑⪆211004⨰⇑⪆131104))⋾⨃∁(⇑⪆21410⇻⋧≁⇑⪆23042⊢)⪥(≅≯⇸⇑⪆13440⨒⇑⪆124204)=⇑⪆31240141042","reverse_text":"⇑⪆31240141042=(⇑⪆20003⨳⩥⨓⇑⪆41310)↢(⇑⪆23121⫑)∓⋝(⨈⪑(⇑⪆211004⨰⇑⪆131104))⋾⨃∁(⇑⪆21410⇻⋧≁⇑⪆23042⊢)⪥(≅≯⇸⇑⪆13440⨒⇑⪆124204)","cot":[{"info":"⇑⪆20003⨳⩥⨓⇑⪆41310=⇑⪆21302","layer":3},{"info":"⇑⪆23121⫑=⇑⪆111404","layer":3},{"info":"⇑⪆21302↢⇑⪆111404=⇑⪆12333","layer":2},{"info":"⇑⪆211004⨰⇑⪆131104=⇑⪆24420","layer":3},{"info":"⨈⪑⇑⪆24420=⇑⪆11433","layer":2},{"info":"⇑⪆12333∓⋝⇑⪆11433=⇑⪆232","layer":1},{"info":"⇑⪆21410⇻⋧≁⇑⪆23042=⇑⪆-3242","layer":3},{"info":"⇑⪆-3242⊢=⇑⪆-3242","layer":2},{"info":"⇑⪆13440⨒⇑⪆124204=⇑⪆-200343","layer":3},{"info":"≅≯⇸⇑⪆-200343=⇑⪆-1031330","layer":2},{"info":"⇑⪆-3242⪥⇑⪆-1031330=⇑⪆-24143","layer":1},{"info":"⇑⪆232⋾⨃∁⇑⪆-24143=⇑⪆31240141042","layer":0}]}
{"id":92,"expression_no_base_symbol":"(($1211$⊾⪯⋞$1004$)⇌⫙⪟(∤$7192$)⫲≸⪮(($2113$⊅)≎⊠⪸$5523$⩣⫁∢$5857$))⊴((≯($1059$∽$1134$))⨁⊸⫻)","expression":"((⇑⪆14321⊾⪯⋞⇑⪆13004)⇌⫙⪟(∤⇑⪆212232)⫲≸⪮((⇑⪆31423⊅)≎⊠⪸⇑⪆134043⩣⫁∢⇑⪆141412))⊴((≯(⇑⪆13214∽⇑⪆14014))⨁⊸⫻)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":373,"operation_count":11,"complexity_ratio":33.90909090909091,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1211,"base":5},"right_expr":{"type":"numeric_atoms","value":1004,"base":5}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":7192,"base":5}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":2113,"base":5}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":5523,"base":5},"right_expr":{"type":"numeric_atoms","value":5857,"base":5}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1059,"base":5},"right_expr":{"type":"numeric_atoms","value":1134,"base":5}}}}},"used_operators":["Nsiff2A1zJ","P3lXMJvFrc","AFVx7xoS7T","HK0tfVPux8","k2HlF1dBQh","bJkvcejdHO","7p6YLioM7f","JDUIKTTSIa","glklzrTFfD","keWfFq85dY","y4ImoPnbV5"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","rysDP5nf3Z","g55IO6H4Gj","JLbD19bQDL","NTOWxs364D","QMFrweE19q"],"result":"⇑⪆-304","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1211","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=1211, right_input=1004, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1582","layer":3},{"info":"number node, value=7192","layer":4},{"info":"compute unary expreesion, input=7192, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute binary expreesion, left_input=1582, right_input=9, 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=2113","layer":4},{"info":"compute unary expreesion, input=2113, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"number node, value=5523","layer":4},{"info":"number node, value=5857","layer":4},{"info":"compute binary expreesion, left_input=5523, right_input=5857, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-10885","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=-10885, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=67, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=113","layer":1},{"info":"number node, value=1059","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=1134, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-8519","layer":3},{"info":"compute unary expreesion, input=-8519, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=113, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆14321⊾⪯⋞⇑⪆13004)⇌⫙⪟(∤⇑⪆212232)⫲≸⪮((⇑⪆31423⊅)≎⊠⪸⇑⪆134043⩣⫁∢⇑⪆141412))⊴((≯(⇑⪆13214∽⇑⪆14014))⨁⊸⫻)=⇑⪆-304","reverse_text":"⇑⪆-304=((⇑⪆14321⊾⪯⋞⇑⪆13004)⇌⫙⪟(∤⇑⪆212232)⫲≸⪮((⇑⪆31423⊅)≎⊠⪸⇑⪆134043⩣⫁∢⇑⪆141412))⊴((≯(⇑⪆13214∽⇑⪆14014))⨁⊸⫻)","cot":[{"info":"⇑⪆14321⊾⪯⋞⇑⪆13004=⇑⪆22312","layer":3},{"info":"∤⇑⪆212232=⇑⪆14","layer":3},{"info":"⇑⪆22312⇌⫙⪟⇑⪆14=⇑⪆423","layer":2},{"info":"⇑⪆31423⊅=⇑⪆-1144","layer":3},{"info":"⇑⪆134043⩣⫁∢⇑⪆141412=⇑⪆-322020","layer":3},{"info":"⇑⪆-1144≎⊠⪸⇑⪆-322020=⇑⪆232","layer":2},{"info":"⇑⪆423⫲≸⪮⇑⪆232=⇑⪆423","layer":1},{"info":"⇑⪆13214∽⇑⪆14014=⇑⪆-233034","layer":3},{"info":"≯⇑⪆-233034=⇑⪆0","layer":2},{"info":"⇑⪆0⨁⊸⫻=⇑⪆0","layer":1},{"info":"⇑⪆423⊴⇑⪆0=⇑⪆-304","layer":0}]}
{"id":93,"expression_no_base_symbol":"(($1502$⇤$5975$≥⨤⩑$1378$⩖⊿$1917$)⇷(($1694$%$5472$)≧⫂∧$1152$∣$3876$))≁↽≥((($1073$⩨$2987$)⇮⋭$7381$↼⊘⨖$6169$)⋳⪒(∐⩳⋚$5687$≎⪠$2906$))","expression":"((⇑⪆22002⇤⇑⪆142400≥⨤⩑⇑⪆21003⩖⊿⇑⪆30132)⇷((⇑⪆23234%⇑⪆133342)≧⫂∧⇑⪆14102∣⇑⪆111001))≁↽≥(((⇑⪆13243⩨⇑⪆43422)⇮⋭⇑⪆214011↼⊘⨖⇑⪆144134)⋳⪒(∐⩳⋚⇑⪆140222≎⪠⇑⪆43111))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":36715,"operation_count":14,"complexity_ratio":2622.5,"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":1502,"base":5},"right_expr":{"type":"numeric_atoms","value":5975,"base":5}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1378,"base":5},"right_expr":{"type":"numeric_atoms","value":1917,"base":5}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1694,"base":5},"right_expr":{"type":"numeric_atoms","value":5472,"base":5}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1152,"base":5},"right_expr":{"type":"numeric_atoms","value":3876,"base":5}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1073,"base":5},"right_expr":{"type":"numeric_atoms","value":2987,"base":5}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":7381,"base":5},"right_expr":{"type":"numeric_atoms","value":6169,"base":5}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":5687,"base":5},"right_expr":{"type":"numeric_atoms","value":2906,"base":5}}}}},"used_operators":["ncHt1X6cMc","mp7IySMOzn","gJLn6v0xnP","YSKBFp38Pu","RZ5CV9rWsJ","Ph9nP6C5qx","k8jYdgA6NY","PPChnnnBFF","12rbrZMWeM","vkpjKywKVM","2DlMacCsIx","bPywburJMS","SL6IHkK8vl","aNhz54LH3e"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"⇑⪆1241","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1502","layer":4},{"info":"number node, value=5975","layer":4},{"info":"compute binary expreesion, left_input=1502, right_input=5975, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-34537","layer":3},{"info":"number node, value=1378","layer":4},{"info":"number node, value=1917","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=1917, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=9742","layer":3},{"info":"compute binary expreesion, left_input=-34537, right_input=9742, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=1694","layer":4},{"info":"number node, value=5472","layer":4},{"info":"compute binary expreesion, left_input=1694, right_input=5472, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1694","layer":3},{"info":"number node, value=1152","layer":4},{"info":"number node, value=3876","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=3876, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1152","layer":3},{"info":"compute binary expreesion, left_input=1694, right_input=1152, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=679","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=679, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=1358","layer":1},{"info":"number node, value=1073","layer":4},{"info":"number node, value=2987","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=2987, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=7381","layer":4},{"info":"number node, value=6169","layer":4},{"info":"compute binary expreesion, left_input=7381, right_input=6169, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=12116","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=12116, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":2},{"info":"number node, value=5687","layer":4},{"info":"number node, value=2906","layer":4},{"info":"compute binary expreesion, left_input=5687, right_input=2906, 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 = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=2934875","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=2934875, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2936108","layer":1},{"info":"compute binary expreesion, left_input=1358, right_input=-2936108, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆22002⇤⇑⪆142400≥⨤⩑⇑⪆21003⩖⊿⇑⪆30132)⇷((⇑⪆23234%⇑⪆133342)≧⫂∧⇑⪆14102∣⇑⪆111001))≁↽≥(((⇑⪆13243⩨⇑⪆43422)⇮⋭⇑⪆214011↼⊘⨖⇑⪆144134)⋳⪒(∐⩳⋚⇑⪆140222≎⪠⇑⪆43111))=⇑⪆1241","reverse_text":"⇑⪆1241=((⇑⪆22002⇤⇑⪆142400≥⨤⩑⇑⪆21003⩖⊿⇑⪆30132)⇷((⇑⪆23234%⇑⪆133342)≧⫂∧⇑⪆14102∣⇑⪆111001))≁↽≥(((⇑⪆13243⩨⇑⪆43422)⇮⋭⇑⪆214011↼⊘⨖⇑⪆144134)⋳⪒(∐⩳⋚⇑⪆140222≎⪠⇑⪆43111))","cot":[{"info":"⇑⪆22002⇤⇑⪆142400=⇑⪆-2101122","layer":3},{"info":"⇑⪆21003⩖⊿⇑⪆30132=⇑⪆302432","layer":3},{"info":"⇑⪆-2101122≥⨤⩑⇑⪆302432=⇑⪆14414","layer":2},{"info":"⇑⪆23234%⇑⪆133342=⇑⪆23234","layer":3},{"info":"⇑⪆14102∣⇑⪆111001=⇑⪆14102","layer":3},{"info":"⇑⪆23234≧⫂∧⇑⪆14102=⇑⪆10204","layer":2},{"info":"⇑⪆14414⇷⇑⪆10204=⇑⪆20413","layer":1},{"info":"⇑⪆13243⩨⇑⪆43422=⇑⪆-11","layer":3},{"info":"⇑⪆214011↼⊘⨖⇑⪆144134=⇑⪆341431","layer":3},{"info":"⇑⪆-11⇮⋭⇑⪆341431=⇑⪆-3343","layer":2},{"info":"⇑⪆140222≎⪠⇑⪆43111=⇑⪆1111213","layer":3},{"info":"∐⩳⋚⇑⪆1111213=⇑⪆1222404000","layer":2},{"info":"⇑⪆-3343⋳⪒⇑⪆1222404000=⇑⪆-1222423413","layer":1},{"info":"⇑⪆20413≁↽≥⇑⪆-1222423413=⇑⪆1241","layer":0}]}
{"id":94,"expression_no_base_symbol":"⋣(⇨$3057$⪔⊥$2251$)≌(∓⪦($2599$⋳⪒$1488$))","expression":"⋣(⇨⇑⪆44212⪔⊥⇑⪆33001)≌(∓⪦(⇑⪆40344⋳⪒⇑⪆21423))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3226,"operation_count":6,"complexity_ratio":537.6666666666666,"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":3057,"base":5},"right_expr":{"type":"numeric_atoms","value":2251,"base":5}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2599,"base":5},"right_expr":{"type":"numeric_atoms","value":1488,"base":5}}}}},"used_operators":["zQWRhDnn8F","lyWz822IDG","G9tJMlZ94a","HJ9erzHUuu","D309nIvmXG","12rbrZMWeM"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","k8jYdgA6NY","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd"],"result":"⇑⪆-423","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3057","layer":4},{"info":"number node, value=2251","layer":4},{"info":"compute binary expreesion, left_input=3057, right_input=2251, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=7527","layer":3},{"info":"compute unary expreesion, input=7527, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"number node, value=2599","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=1488, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3423","layer":3},{"info":"compute unary expreesion, input=3423, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=3015","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3015, 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 = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":0}],"base":5,"result_base":5,"text":"⋣(⇨⇑⪆44212⪔⊥⇑⪆33001)≌(∓⪦(⇑⪆40344⋳⪒⇑⪆21423))=⇑⪆-423","reverse_text":"⇑⪆-423=⋣(⇨⇑⪆44212⪔⊥⇑⪆33001)≌(∓⪦(⇑⪆40344⋳⪒⇑⪆21423))","cot":[{"info":"⇑⪆44212⪔⊥⇑⪆33001=⇑⪆220102","layer":3},{"info":"⇨⇑⪆220102=⇑⪆0","layer":2},{"info":"⇑⪆40344⋳⪒⇑⪆21423=⇑⪆102143","layer":3},{"info":"∓⪦⇑⪆102143=⇑⪆44030","layer":2},{"info":"⇑⪆0≌⇑⪆44030=NaN","layer":1},{"info":"⋣NaN=⇑⪆-423","layer":0}]}
{"id":95,"expression_no_base_symbol":"($7126$⨎$1087$⋳⪒$2710$∀⇚≩$1376$)⪥($1042$≝⊿$3601$∼$1821$≌$1770$)⇄(≦∁$2121$⫞⩸⩒$2198$⪡($2802$⫢⨠$7705$))","expression":"(⇑⪆212001⨎⇑⪆13322⋳⪒⇑⪆41320∀⇚≩⇑⪆21001)⪥(⇑⪆13132≝⊿⇑⪆103401∼⇑⪆24241≌⇑⪆24040)⇄(≦∁⇑⪆31441⫞⩸⩒⇑⪆32243⪡(⇑⪆42202⫢⨠⇑⪆221310))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21209,"operation_count":12,"complexity_ratio":1767.4166666666667,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7126,"base":5},"right_expr":{"type":"numeric_atoms","value":1087,"base":5}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2710,"base":5},"right_expr":{"type":"numeric_atoms","value":1376,"base":5}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1042,"base":5},"right_expr":{"type":"numeric_atoms","value":3601,"base":5}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1821,"base":5},"right_expr":{"type":"numeric_atoms","value":1770,"base":5}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2121,"base":5},"right_expr":{"type":"numeric_atoms","value":2198,"base":5}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2802,"base":5},"right_expr":{"type":"numeric_atoms","value":7705,"base":5}}}}},"used_operators":["3EYGwJThht","QbnwKVWMIQ","12rbrZMWeM","rJVOvQCfKK","LRNGc0VcxI","DyGG3AbaNP","OKKcZfAt5B","lyWz822IDG","9ICcGScMcE","oraRL2iQuh","XGcMNugi78","xlXykHWxX1"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","X99M06cbEe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","12rbrZMWeM","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7126","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=7126, right_input=1087, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1087","layer":3},{"info":"number node, value=2710","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=2710, right_input=1376, 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=1087, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=1042","layer":4},{"info":"number node, value=3601","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=3601, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8777","layer":3},{"info":"number node, value=1821","layer":4},{"info":"number node, value=1770","layer":4},{"info":"compute binary expreesion, left_input=1821, right_input=1770, 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=-8777, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute 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":1},{"info":"number node, value=2121","layer":4},{"info":"number node, value=2198","layer":4},{"info":"compute binary expreesion, left_input=2121, right_input=2198, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2198","layer":3},{"info":"number node, value=2802","layer":4},{"info":"number node, value=7705","layer":4},{"info":"compute binary expreesion, left_input=2802, right_input=7705, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=2198, right_input=160, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":2},{"info":"compute unary expreesion, input=107, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-1604","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1604, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆212001⨎⇑⪆13322⋳⪒⇑⪆41320∀⇚≩⇑⪆21001)⪥(⇑⪆13132≝⊿⇑⪆103401∼⇑⪆24241≌⇑⪆24040)⇄(≦∁⇑⪆31441⫞⩸⩒⇑⪆32243⪡(⇑⪆42202⫢⨠⇑⪆221310))=NaN","reverse_text":"NaN=(⇑⪆212001⨎⇑⪆13322⋳⪒⇑⪆41320∀⇚≩⇑⪆21001)⪥(⇑⪆13132≝⊿⇑⪆103401∼⇑⪆24241≌⇑⪆24040)⇄(≦∁⇑⪆31441⫞⩸⩒⇑⪆32243⪡(⇑⪆42202⫢⨠⇑⪆221310))","cot":[{"info":"⇑⪆212001⨎⇑⪆13322=⇑⪆13322","layer":3},{"info":"⇑⪆41320∀⇚≩⇑⪆21001=NaN","layer":3},{"info":"⇑⪆13322⋳⪒NaN=NaN","layer":2},{"info":"⇑⪆13132≝⊿⇑⪆103401=⇑⪆-240102","layer":3},{"info":"⇑⪆24241≌⇑⪆24040=NaN","layer":3},{"info":"⇑⪆-240102∼NaN=NaN","layer":2},{"info":"NaN⪥NaN=NaN","layer":1},{"info":"⇑⪆31441⫞⩸⩒⇑⪆32243=⇑⪆32243","layer":3},{"info":"⇑⪆42202⫢⨠⇑⪆221310=⇑⪆1120","layer":3},{"info":"⇑⪆32243⪡⇑⪆1120=⇑⪆412","layer":2},{"info":"≦∁⇑⪆412=⇑⪆-22404","layer":1},{"info":"NaN⇄⇑⪆-22404=NaN","layer":0}]}
{"id":96,"expression_no_base_symbol":"(∮(⇉-⫰$2382$))∳⫺($7805$⩁⩘$1249$⨱∎)⊹∫⫚(⊈(⩰$1093$))⩧⪆($1007$⫣⪄⊒$2219$⨰$1815$⨜⨶$1517$)","expression":"(∮(⇉-⫰⇑⪆34012))∳⫺(⇑⪆222210⩁⩘⇑⪆14444⨱∎)⊹∫⫚(⊈(⩰⇑⪆13333))⩧⪆(⇑⪆13012⫣⪄⊒⇑⪆32334⨰⇑⪆24230⨜⨶⇑⪆22032)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":748,"operation_count":12,"complexity_ratio":62.333333333333336,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":2382,"base":5}}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":7805,"base":5},"right_expr":{"type":"numeric_atoms","value":1249,"base":5}}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1093,"base":5}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1007,"base":5},"right_expr":{"type":"numeric_atoms","value":2219,"base":5}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1815,"base":5},"right_expr":{"type":"numeric_atoms","value":1517,"base":5}}}}},"used_operators":["uWAJUKEvyW","AzXXKTstlj","CqXKPLVYql","IGFM8TAlm9","MmTdOpaElr","gub5Cegaqo","Ikt5ks8PT7","RHru8klgy8","WkeUrDK8WX","eewbuw0ToL","RabNbG55vr","HiPekx5b7W"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","eH2TOUuTDT","eewbuw0ToL","tifHPKVTfV","DpFCA1CohY","IWmyXbctLI","eewbuw0ToL","t8gj7n24qd","12rbrZMWeM","xUOZtlo3hN","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⇑⪆-2321","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2382","layer":4},{"info":"compute unary expreesion, input=2382, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, 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=-238116","layer":2},{"info":"number node, value=7805","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=7805, right_input=1249, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5944","layer":3},{"info":"compute unary expreesion, input=5944, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-238116, right_input=0, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-952402","layer":1},{"info":"number node, value=1093","layer":4},{"info":"compute unary expreesion, input=1093, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2093","layer":3},{"info":"compute unary expreesion, input=-2093, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=1919","layer":2},{"info":"number node, value=1007","layer":4},{"info":"number node, value=2219","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=2219, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-11812","layer":3},{"info":"number node, value=1815","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=1517, 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=-2778","layer":3},{"info":"compute binary expreesion, left_input=-11812, right_input=-2778, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-9024","layer":2},{"info":"compute binary expreesion, left_input=1919, right_input=-9024, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=9024","layer":1},{"info":"compute binary expreesion, left_input=-952402, right_input=9024, 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":0}],"base":5,"result_base":5,"text":"(∮(⇉-⫰⇑⪆34012))∳⫺(⇑⪆222210⩁⩘⇑⪆14444⨱∎)⊹∫⫚(⊈(⩰⇑⪆13333))⩧⪆(⇑⪆13012⫣⪄⊒⇑⪆32334⨰⇑⪆24230⨜⨶⇑⪆22032)=⇑⪆-2321","reverse_text":"⇑⪆-2321=(∮(⇉-⫰⇑⪆34012))∳⫺(⇑⪆222210⩁⩘⇑⪆14444⨱∎)⊹∫⫚(⊈(⩰⇑⪆13333))⩧⪆(⇑⪆13012⫣⪄⊒⇑⪆32334⨰⇑⪆24230⨜⨶⇑⪆22032)","cot":[{"info":"⇉-⫰⇑⪆34012=⇑⪆40","layer":3},{"info":"∮⇑⪆40=⇑⪆-30104431","layer":2},{"info":"⇑⪆222210⩁⩘⇑⪆14444=⇑⪆142234","layer":3},{"info":"⇑⪆142234⨱∎=⇑⪆0","layer":2},{"info":"⇑⪆-30104431∳⫺⇑⪆0=⇑⪆-220434102","layer":1},{"info":"⩰⇑⪆13333=⇑⪆-31333","layer":3},{"info":"⊈⇑⪆-31333=⇑⪆30134","layer":2},{"info":"⇑⪆13012⫣⪄⊒⇑⪆32334=⇑⪆-334222","layer":3},{"info":"⇑⪆24230⨜⨶⇑⪆22032=⇑⪆-42103","layer":3},{"info":"⇑⪆-334222⨰⇑⪆-42103=⇑⪆-242044","layer":2},{"info":"⇑⪆30134⩧⪆⇑⪆-242044=⇑⪆242044","layer":1},{"info":"⇑⪆-220434102⊹∫⫚⇑⪆242044=⇑⪆-2321","layer":0}]}
{"id":97,"expression_no_base_symbol":"≯($2473$⩷∴$2275$)⇤($1127$⩇∃⫛$1129$)≨(⊊≼∋($1461$⋭≵$1378$))","expression":"≯(⇑⪆34343⩷∴⇑⪆33100)⇤(⇑⪆14002⩇∃⫛⇑⪆14004)≨(⊊≼∋(⇑⪆21321⋭≵⇑⪆21003))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9002,"operation_count":7,"complexity_ratio":1286.0,"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":2473,"base":5},"right_expr":{"type":"numeric_atoms","value":2275,"base":5}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1127,"base":5},"right_expr":{"type":"numeric_atoms","value":1129,"base":5}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1461,"base":5},"right_expr":{"type":"numeric_atoms","value":1378,"base":5}}}}},"used_operators":["keWfFq85dY","0KMCeP1Jsh","YSKBFp38Pu","9FxExcQeMw","1aApVXNlOP","FWz7pXsQhA","jBncVCNhdl"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","B5M0gjZbta","jCPkEVoL5K","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2473","layer":4},{"info":"number node, value=2275","layer":4},{"info":"compute binary expreesion, left_input=2473, right_input=2275, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=364","layer":3},{"info":"number node, value=1127","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=1129, 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=475","layer":3},{"info":"compute binary expreesion, left_input=364, right_input=475, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-1347","layer":2},{"info":"number node, value=1461","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=1461, right_input=1378, 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 = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-1347, right_input=-447, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=3350","layer":1},{"info":"compute unary expreesion, input=3350, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":0}],"base":5,"result_base":5,"text":"≯(⇑⪆34343⩷∴⇑⪆33100)⇤(⇑⪆14002⩇∃⫛⇑⪆14004)≨(⊊≼∋(⇑⪆21321⋭≵⇑⪆21003))=⇑⪆0","reverse_text":"⇑⪆0=≯(⇑⪆34343⩷∴⇑⪆33100)⇤(⇑⪆14002⩇∃⫛⇑⪆14004)≨(⊊≼∋(⇑⪆21321⋭≵⇑⪆21003))","cot":[{"info":"⇑⪆34343⩷∴⇑⪆33100=⇑⪆2424","layer":3},{"info":"⇑⪆14002⩇∃⫛⇑⪆14004=⇑⪆3400","layer":3},{"info":"⇑⪆2424⇤⇑⪆3400=⇑⪆-20342","layer":2},{"info":"⇑⪆21321⋭≵⇑⪆21003=⇑⪆232","layer":3},{"info":"⊊≼∋⇑⪆232=⇑⪆-3242","layer":2},{"info":"⇑⪆-20342≨⇑⪆-3242=⇑⪆101400","layer":1},{"info":"≯⇑⪆101400=⇑⪆0","layer":0}]}
{"id":98,"expression_no_base_symbol":"(($2638$≀⫉$3716$)⋛$1242$⨿$7939$⋭≵($5120$⊱⇼⊻$1791$)⇂≾⫗($1045$∴$2104$))⫥∨⫟(≱⇩⩕(⇙⪊$1158$)⨚⇆($1773$⫢⨠$1154$))","expression":"((⇑⪆41023≀⫉⇑⪆104331)⋛⇑⪆14432⨿⇑⪆223224⋭≵(⇑⪆130440⊱⇼⊻⇑⪆24131)⇂≾⫗(⇑⪆13140∴⇑⪆31404))⫥∨⫟(≱⇩⩕(⇙⪊⇑⪆14113)⨚⇆(⇑⪆24043⫢⨠⇑⪆14104))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":838,"operation_count":12,"complexity_ratio":69.83333333333333,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2638,"base":5},"right_expr":{"type":"numeric_atoms","value":3716,"base":5}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1242,"base":5},"right_expr":{"type":"numeric_atoms","value":7939,"base":5}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":5120,"base":5},"right_expr":{"type":"numeric_atoms","value":1791,"base":5}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1045,"base":5},"right_expr":{"type":"numeric_atoms","value":2104,"base":5}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1158,"base":5}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1773,"base":5},"right_expr":{"type":"numeric_atoms","value":1154,"base":5}}}}},"used_operators":["KYD54nUTWz","jBncVCNhdl","YbUVn0Rbpy","oZj3VtZNQx","abYXlopdE0","aBQ6xLxuTc","FyVja0WsTP","hrf7POJlIJ","3DZMoQKiUl","lwHaAYXP2r","pB6Fcnrjim","xlXykHWxX1"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2638","layer":4},{"info":"number node, value=3716","layer":4},{"info":"compute binary expreesion, left_input=2638, right_input=3716, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1242","layer":4},{"info":"number node, value=7939","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=7939, 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=2822, right_input=-319, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-312","layer":2},{"info":"number node, value=5120","layer":4},{"info":"number node, value=1791","layer":4},{"info":"compute binary expreesion, left_input=5120, 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=1045","layer":4},{"info":"number node, value=2104","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=2104, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=3738","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=3738, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=-312, right_input=-676, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"number node, value=1158","layer":4},{"info":"compute unary expreesion, input=1158, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=1773","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=1773, right_input=1154, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=5970","layer":2},{"info":"compute unary expreesion, input=5970, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=113, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆41023≀⫉⇑⪆104331)⋛⇑⪆14432⨿⇑⪆223224⋭≵(⇑⪆130440⊱⇼⊻⇑⪆24131)⇂≾⫗(⇑⪆13140∴⇑⪆31404))⫥∨⫟(≱⇩⩕(⇙⪊⇑⪆14113)⨚⇆(⇑⪆24043⫢⨠⇑⪆14104))=NaN","reverse_text":"NaN=((⇑⪆41023≀⫉⇑⪆104331)⋛⇑⪆14432⨿⇑⪆223224⋭≵(⇑⪆130440⊱⇼⊻⇑⪆24131)⇂≾⫗(⇑⪆13140∴⇑⪆31404))⫥∨⫟(≱⇩⩕(⇙⪊⇑⪆14113)⨚⇆(⇑⪆24043⫢⨠⇑⪆14104))","cot":[{"info":"⇑⪆41023≀⫉⇑⪆104331=⇑⪆42242","layer":3},{"info":"⇑⪆14432⨿⇑⪆223224=⇑⪆-2234","layer":3},{"info":"⇑⪆42242⋛⇑⪆-2234=⇑⪆-2222","layer":2},{"info":"⇑⪆130440⊱⇼⊻⇑⪆24131=⇑⪆3214","layer":3},{"info":"⇑⪆13140∴⇑⪆31404=⇑⪆104423","layer":3},{"info":"⇑⪆3214⇂≾⫗⇑⪆104423=⇑⪆-10201","layer":2},{"info":"⇑⪆-2222⋭≵⇑⪆-10201=⇑⪆232","layer":1},{"info":"⇙⪊⇑⪆14113=⇑⪆0","layer":3},{"info":"⇑⪆24043⫢⨠⇑⪆14104=⇑⪆1120","layer":3},{"info":"⇑⪆0⨚⇆⇑⪆1120=⇑⪆142340","layer":2},{"info":"≱⇩⩕⇑⪆142340=⇑⪆423","layer":1},{"info":"⇑⪆232⫥∨⫟⇑⪆423=NaN","layer":0}]}
{"id":99,"expression_no_base_symbol":"(($3023$⩇∃⫛$1070$)⫉⨲⊜($3000$⨫⇇↔$5481$)≒∊((⨝⨆$4133$)⋝⋈⪟($5848$⪔$2762$)))↞⋁((≯(≉$1135$))/$1968$⩖⊿$1142$⨟⋌⩍$4605$⫉⨲⊜$6404$)","expression":"((⇑⪆44043⩇∃⫛⇑⪆13240)⫉⨲⊜(⇑⪆44000⨫⇇↔⇑⪆133411)≒∊((⨝⨆⇑⪆113013)⋝⋈⪟(⇑⪆141343⪔⇑⪆42022)))↞⋁((≯(≉⇑⪆14020))/⇑⪆30333⩖⊿⇑⪆14032⨟⋌⩍⇑⪆121410⫉⨲⊜⇑⪆201104)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3151,"operation_count":14,"complexity_ratio":225.07142857142858,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":3023,"base":5},"right_expr":{"type":"numeric_atoms","value":1070,"base":5}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3000,"base":5},"right_expr":{"type":"numeric_atoms","value":5481,"base":5}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":4133,"base":5}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":5848,"base":5},"right_expr":{"type":"numeric_atoms","value":2762,"base":5}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1135,"base":5}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1968,"base":5},"right_expr":{"type":"numeric_atoms","value":1142,"base":5}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4605,"base":5},"right_expr":{"type":"numeric_atoms","value":6404,"base":5}}}}},"used_operators":["RqrPlJkxDo","5KTvxBwnZo","WhqkvtTD3t","1aApVXNlOP","LXhwmt4mBO","2DDjHMKMc0","bQ67fsrMVf","GjBEYRfMaF","XhwjNDsVaA","keWfFq85dY","e1ybzncUwg","rGHVDoGpnC","RZ5CV9rWsJ"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eewbuw0ToL","zVYPLywUTj","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","g55IO6H4Gj","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3023","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=3023, right_input=1070, 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=-1480","layer":3},{"info":"number node, value=3000","layer":4},{"info":"number node, value=5481","layer":4},{"info":"compute binary expreesion, left_input=3000, right_input=5481, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=-1480, right_input=-527, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-637","layer":2},{"info":"number node, value=4133","layer":4},{"info":"compute unary expreesion, input=4133, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=3924","layer":3},{"info":"number node, value=5848","layer":4},{"info":"number node, value=2762","layer":4},{"info":"compute binary expreesion, left_input=5848, right_input=2762, 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=3924, right_input=450, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3924","layer":2},{"info":"compute binary expreesion, left_input=-637, right_input=3924, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=1121","layer":1},{"info":"number node, value=1135","layer":4},{"info":"compute unary expreesion, input=1135, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1666","layer":3},{"info":"compute unary expreesion, input=1666, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=1968","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=1968, right_input=1142, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=1182","layer":3},{"info":"number node, value=4605","layer":4},{"info":"number node, value=6404","layer":4},{"info":"compute binary expreesion, left_input=4605, right_input=6404, 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=1182, 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=1182","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1182, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=1121, right_input=0, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆44043⩇∃⫛⇑⪆13240)⫉⨲⊜(⇑⪆44000⨫⇇↔⇑⪆133411)≒∊((⨝⨆⇑⪆113013)⋝⋈⪟(⇑⪆141343⪔⇑⪆42022)))↞⋁((≯(≉⇑⪆14020))/⇑⪆30333⩖⊿⇑⪆14032⨟⋌⩍⇑⪆121410⫉⨲⊜⇑⪆201104)=NaN","reverse_text":"NaN=((⇑⪆44043⩇∃⫛⇑⪆13240)⫉⨲⊜(⇑⪆44000⨫⇇↔⇑⪆133411)≒∊((⨝⨆⇑⪆113013)⋝⋈⪟(⇑⪆141343⪔⇑⪆42022)))↞⋁((≯(≉⇑⪆14020))/⇑⪆30333⩖⊿⇑⪆14032⨟⋌⩍⇑⪆121410⫉⨲⊜⇑⪆201104)","cot":[{"info":"⇑⪆44043⩇∃⫛⇑⪆13240=⇑⪆-21410","layer":3},{"info":"⇑⪆44000⨫⇇↔⇑⪆133411=⇑⪆-4102","layer":3},{"info":"⇑⪆-21410⫉⨲⊜⇑⪆-4102=⇑⪆-10022","layer":2},{"info":"⨝⨆⇑⪆113013=⇑⪆111144","layer":3},{"info":"⇑⪆141343⪔⇑⪆42022=⇑⪆3300","layer":3},{"info":"⇑⪆111144⋝⋈⪟⇑⪆3300=⇑⪆111144","layer":2},{"info":"⇑⪆-10022≒∊⇑⪆111144=⇑⪆13441","layer":1},{"info":"≉⇑⪆14020=⇑⪆23131","layer":3},{"info":"≯⇑⪆23131=⇑⪆0","layer":2},{"info":"⇑⪆30333⩖⊿⇑⪆14032=⇑⪆14212","layer":3},{"info":"⇑⪆121410⫉⨲⊜⇑⪆201104=⇑⪆0","layer":3},{"info":"⇑⪆14212⨟⋌⩍⇑⪆0=⇑⪆14212","layer":2},{"info":"⇑⪆0/⇑⪆14212=⇑⪆0","layer":1},{"info":"⇑⪆13441↞⋁⇑⪆0=NaN","layer":0}]}
{"id":100,"expression_no_base_symbol":"(⊄⩳↩($4167$≳⇉$2184$))≁(($3843$-$4283$)↹⊜($2781$∌$3866$))⋭≵($4375$⨟⋌⩍$1279$-(≤/$7560$))∀⇚≩((⨡↴$2160$)↺$3109$⨸$1226$)","expression":"(⊄⩳↩(⇑⪆113132≳⇉⇑⪆32214))≁((⇑⪆110333-⇑⪆114113)↹⊜(⇑⪆42111∌⇑⪆110431))⋭≵(⇑⪆120000⨟⋌⩍⇑⪆20104-(≤/⇑⪆220220))∀⇚≩((⨡↴⇑⪆32120)↺⇑⪆44414⨸⇑⪆14401)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":65399881,"operation_count":14,"complexity_ratio":4671420.071428572,"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":4167,"base":5},"right_expr":{"type":"numeric_atoms","value":2184,"base":5}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3843,"base":5},"right_expr":{"type":"numeric_atoms","value":4283,"base":5}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2781,"base":5},"right_expr":{"type":"numeric_atoms","value":3866,"base":5}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4375,"base":5},"right_expr":{"type":"numeric_atoms","value":1279,"base":5}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":7560,"base":5}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":2160,"base":5}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3109,"base":5},"right_expr":{"type":"numeric_atoms","value":1226,"base":5}}}}},"used_operators":["jBncVCNhdl","8N2wDY1A35","8w2t5hMYqp","V0kx6qeWkN","9bazX3JMtO","rysDP5nf3Z","8cLx32lpNA","LRNGc0VcxI","rGHVDoGpnC","eLAdDNolq6","7j4O788W3g","liw5iZPkLH","KmoU8R5UQR"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","X99M06cbEe","Tcnh7f0tEr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","P8v4zCKN1o","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"⇑⪆232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4167","layer":4},{"info":"number node, value=2184","layer":4},{"info":"compute binary expreesion, left_input=4167, right_input=2184, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=3843","layer":4},{"info":"number node, value=4283","layer":4},{"info":"compute binary expreesion, left_input=3843, right_input=4283, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-440","layer":3},{"info":"number node, value=2781","layer":4},{"info":"number node, value=3866","layer":4},{"info":"compute binary expreesion, left_input=2781, right_input=3866, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3866","layer":3},{"info":"compute binary expreesion, left_input=-440, right_input=-3866, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=30832","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=30832, 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=4375","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=4375, right_input=1279, 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=7560","layer":4},{"info":"compute unary expreesion, input=7560, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-7076","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7076, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2160","layer":4},{"info":"compute unary expreesion, input=2160, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=3209","layer":3},{"info":"number node, value=3109","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=3109, right_input=1226, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=6218","layer":3},{"info":"compute binary expreesion, left_input=3209, right_input=6218, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6218","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6218, 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 = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":0}],"base":5,"result_base":5,"text":"(⊄⩳↩(⇑⪆113132≳⇉⇑⪆32214))≁((⇑⪆110333-⇑⪆114113)↹⊜(⇑⪆42111∌⇑⪆110431))⋭≵(⇑⪆120000⨟⋌⩍⇑⪆20104-(≤/⇑⪆220220))∀⇚≩((⨡↴⇑⪆32120)↺⇑⪆44414⨸⇑⪆14401)=⇑⪆232","reverse_text":"⇑⪆232=(⊄⩳↩(⇑⪆113132≳⇉⇑⪆32214))≁((⇑⪆110333-⇑⪆114113)↹⊜(⇑⪆42111∌⇑⪆110431))⋭≵(⇑⪆120000⨟⋌⩍⇑⪆20104-(≤/⇑⪆220220))∀⇚≩((⨡↴⇑⪆32120)↺⇑⪆44414⨸⇑⪆14401)","cot":[{"info":"⇑⪆113132≳⇉⇑⪆32214=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⇑⪆110333-⇑⪆114113=⇑⪆-3230","layer":3},{"info":"⇑⪆42111∌⇑⪆110431=⇑⪆-110431","layer":3},{"info":"⇑⪆-3230↹⊜⇑⪆-110431=⇑⪆1441312","layer":2},{"info":"NaN≁⇑⪆1441312=NaN","layer":1},{"info":"⇑⪆120000⨟⋌⩍⇑⪆20104=NaN","layer":3},{"info":"≤/⇑⪆220220=⇑⪆-211301","layer":3},{"info":"NaN-⇑⪆-211301=NaN","layer":2},{"info":"⨡↴⇑⪆32120=⇑⪆100314","layer":3},{"info":"⇑⪆44414⨸⇑⪆14401=⇑⪆144333","layer":3},{"info":"⇑⪆100314↺⇑⪆144333=⇑⪆144333","layer":2},{"info":"NaN∀⇚≩⇑⪆144333=NaN","layer":1},{"info":"NaN⋭≵NaN=⇑⪆232","layer":0}]}
{"id":101,"expression_no_base_symbol":"≘(($2142$⪔⊥$1663$⊘)⩹(⊙↵-$3760$⨸$1917$))","expression":"≘((⇑⪆32032⪔⊥⇑⪆23123⊘)⩹(⊙↵-⇑⪆110020⨸⇑⪆30132))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":11545,"operation_count":6,"complexity_ratio":1924.1666666666667,"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":2142,"base":5},"right_expr":{"type":"numeric_atoms","value":1663,"base":5}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3760,"base":5},"right_expr":{"type":"numeric_atoms","value":1917,"base":5}}}}},"used_operators":["tcjXMdvYtA","2Wsdkap16l","gu96TGCTMs","HJ9erzHUuu","oWn0xqSxBt","KmoU8R5UQR"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"⇑⪆22002","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2142","layer":4},{"info":"number node, value=1663","layer":4},{"info":"compute binary expreesion, left_input=2142, right_input=1663, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=5043","layer":3},{"info":"compute unary expreesion, input=5043, 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=3760","layer":4},{"info":"number node, value=1917","layer":4},{"info":"compute binary expreesion, left_input=3760, right_input=1917, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=7520","layer":3},{"info":"compute unary expreesion, input=7520, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1, 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=-3","layer":1},{"info":"compute unary expreesion, input=-3, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=1502","layer":0}],"base":5,"result_base":5,"text":"≘((⇑⪆32032⪔⊥⇑⪆23123⊘)⩹(⊙↵-⇑⪆110020⨸⇑⪆30132))=⇑⪆22002","reverse_text":"⇑⪆22002=≘((⇑⪆32032⪔⊥⇑⪆23123⊘)⩹(⊙↵-⇑⪆110020⨸⇑⪆30132))","cot":[{"info":"⇑⪆32032⪔⊥⇑⪆23123=⇑⪆130133","layer":3},{"info":"⇑⪆130133⊘=⇑⪆0","layer":2},{"info":"⇑⪆110020⨸⇑⪆30132=⇑⪆220040","layer":3},{"info":"⊙↵-⇑⪆220040=⇑⪆-1","layer":2},{"info":"⇑⪆0⩹⇑⪆-1=⇑⪆-3","layer":1},{"info":"≘⇑⪆-3=⇑⪆22002","layer":0}]}
{"id":102,"expression_no_base_symbol":"(⊤⊝$4686$↺$1439$⇮⋭$1484$⪢$1272$)≝⊿(↯⪼($2470$→⨶⪴$9512$↱($1541$⋹)))","expression":"(⊤⊝⇑⪆122221↺⇑⪆21224⇮⋭⇑⪆21414⪢⇑⪆20042)≝⊿(↯⪼(⇑⪆34340→⨶⪴⇑⪆301022↱(⇑⪆22131⋹)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1497,"operation_count":9,"complexity_ratio":166.33333333333334,"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":4686,"base":5},"right_expr":{"type":"numeric_atoms","value":1439,"base":5}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1484,"base":5},"right_expr":{"type":"numeric_atoms","value":1272,"base":5}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2470,"base":5},"right_expr":{"type":"numeric_atoms","value":9512,"base":5}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":1541,"base":5}}}}},"used_operators":["OKKcZfAt5B","rXAclfmB4M","vkpjKywKVM","7j4O788W3g","dWAJyo7jo9","8jW3W4yZS5","SR5kFfdi6N","bF6eod5Gvf","opAxDRczMr"],"dependent_operators":["12rbrZMWeM","sdazOOVcIp","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","8w2t5hMYqp","9FxExcQeMw","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4686","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=4686, right_input=1439, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1439","layer":3},{"info":"number node, value=1484","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=1484, right_input=1272, 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=1439, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=nan","layer":1},{"info":"number node, value=2470","layer":4},{"info":"number node, value=9512","layer":4},{"info":"compute binary expreesion, left_input=2470, right_input=9512, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-28536","layer":3},{"info":"number node, value=1541","layer":4},{"info":"compute unary expreesion, input=1541, 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=-28536, right_input=-20, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=15750","layer":2},{"info":"compute unary expreesion, input=15750, 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 = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⊤⊝⇑⪆122221↺⇑⪆21224⇮⋭⇑⪆21414⪢⇑⪆20042)≝⊿(↯⪼(⇑⪆34340→⨶⪴⇑⪆301022↱(⇑⪆22131⋹)))=NaN","reverse_text":"NaN=(⊤⊝⇑⪆122221↺⇑⪆21224⇮⋭⇑⪆21414⪢⇑⪆20042)≝⊿(↯⪼(⇑⪆34340→⨶⪴⇑⪆301022↱(⇑⪆22131⋹)))","cot":[{"info":"⇑⪆122221↺⇑⪆21224=⇑⪆21224","layer":3},{"info":"⇑⪆21414⪢⇑⪆20042=NaN","layer":3},{"info":"⇑⪆21224⇮⋭NaN=NaN","layer":2},{"info":"⊤⊝NaN=NaN","layer":1},{"info":"⇑⪆34340→⨶⪴⇑⪆301022=⇑⪆-1403121","layer":3},{"info":"⇑⪆22131⋹=⇑⪆-40","layer":3},{"info":"⇑⪆-1403121↱⇑⪆-40=⇑⪆1001000","layer":2},{"info":"↯⪼⇑⪆1001000=⇑⪆-41","layer":1},{"info":"NaN≝⊿⇑⪆-41=NaN","layer":0}]}
{"id":103,"expression_no_base_symbol":"($1546$⫁$4909$≀⩗∶$3044$⨚$3059$)↼⊘⨖($5810$⇤$4514$⊢)⋓(⊊≼∋($2850$⋥≓≎$2386$))⪛(⪡⇡≛$1029$)⨟⋌⩍($5484$⫌⩉⩟$4939$)","expression":"(⇑⪆22141⫁⇑⪆124114≀⩗∶⇑⪆44134⨚⇑⪆44214)↼⊘⨖(⇑⪆141220⇤⇑⪆121024⊢)⋓(⊊≼∋(⇑⪆42400⋥≓≎⇑⪆34021))⪛(⪡⇡≛⇑⪆13104)⨟⋌⩍(⇑⪆133414⫌⩉⩟⇑⪆124224)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":27274,"operation_count":13,"complexity_ratio":2098.0,"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":1546,"base":5},"right_expr":{"type":"numeric_atoms","value":4909,"base":5}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3044,"base":5},"right_expr":{"type":"numeric_atoms","value":3059,"base":5}}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":5810,"base":5},"right_expr":{"type":"numeric_atoms","value":4514,"base":5}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2850,"base":5},"right_expr":{"type":"numeric_atoms","value":2386,"base":5}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1029,"base":5}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":5484,"base":5},"right_expr":{"type":"numeric_atoms","value":4939,"base":5}}}}},"used_operators":["T2fj7uvVaJ","bPywburJMS","8INZBEW696","0ajvFaJAv0","nREPSIbpBE","40aOVDgCDB","YSKBFp38Pu","uFcxV4UQCh","FWz7pXsQhA","Qy55tPpLXF","rGHVDoGpnC","qL4PrbW1Dq","XIIwhv8d0m"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","cHh1gJQ2o6","AHs5Up7iyr","BjRHVeLaeN","12rbrZMWeM","NTOWxs364D","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","jCPkEVoL5K","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1546","layer":4},{"info":"number node, value=4909","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=4909, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=3044","layer":4},{"info":"number node, value=3059","layer":4},{"info":"compute binary expreesion, left_input=3044, right_input=3059, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-5214","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-5214, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=99","layer":2},{"info":"number node, value=5810","layer":4},{"info":"number node, value=4514","layer":4},{"info":"compute binary expreesion, left_input=5810, right_input=4514, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-48772","layer":3},{"info":"compute unary expreesion, input=-48772, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-48772","layer":2},{"info":"compute binary expreesion, left_input=99, right_input=-48772, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-97766","layer":1},{"info":"number node, value=2850","layer":4},{"info":"number node, value=2386","layer":4},{"info":"compute binary expreesion, left_input=2850, right_input=2386, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1955","layer":3},{"info":"compute unary expreesion, input=1955, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":2},{"info":"number node, value=1029","layer":4},{"info":"compute unary expreesion, input=1029, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1029","layer":3},{"info":"number node, value=5484","layer":4},{"info":"number node, value=4939","layer":4},{"info":"compute binary expreesion, left_input=5484, right_input=4939, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-1029, right_input=-50, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=-447, 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=-97766, 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":5,"result_base":5,"text":"(⇑⪆22141⫁⇑⪆124114≀⩗∶⇑⪆44134⨚⇑⪆44214)↼⊘⨖(⇑⪆141220⇤⇑⪆121024⊢)⋓(⊊≼∋(⇑⪆42400⋥≓≎⇑⪆34021))⪛(⪡⇡≛⇑⪆13104)⨟⋌⩍(⇑⪆133414⫌⩉⩟⇑⪆124224)=NaN","reverse_text":"NaN=(⇑⪆22141⫁⇑⪆124114≀⩗∶⇑⪆44134⨚⇑⪆44214)↼⊘⨖(⇑⪆141220⇤⇑⪆121024⊢)⋓(⊊≼∋(⇑⪆42400⋥≓≎⇑⪆34021))⪛(⪡⇡≛⇑⪆13104)⨟⋌⩍(⇑⪆133414⫌⩉⩟⇑⪆124224)","cot":[{"info":"⇑⪆22141⫁⇑⪆124114=⇑⪆1120","layer":3},{"info":"⇑⪆44134⨚⇑⪆44214=⇑⪆-131324","layer":3},{"info":"⇑⪆1120≀⩗∶⇑⪆-131324=⇑⪆344","layer":2},{"info":"⇑⪆141220⇤⇑⪆121024=⇑⪆-3030042","layer":3},{"info":"⇑⪆-3030042⊢=⇑⪆-3030042","layer":2},{"info":"⇑⪆344↼⊘⨖⇑⪆-3030042=⇑⪆-11112031","layer":1},{"info":"⇑⪆42400⋥≓≎⇑⪆34021=⇑⪆30310","layer":3},{"info":"⊊≼∋⇑⪆30310=⇑⪆-3242","layer":2},{"info":"⪡⇡≛⇑⪆13104=⇑⪆-13104","layer":3},{"info":"⇑⪆133414⫌⩉⩟⇑⪆124224=⇑⪆-200","layer":3},{"info":"⇑⪆-13104⨟⋌⩍⇑⪆-200=⇑⪆0","layer":2},{"info":"⇑⪆-3242⪛⇑⪆0=NaN","layer":1},{"info":"⇑⪆-11112031⋓NaN=NaN","layer":0}]}
{"id":104,"expression_no_base_symbol":"(⇉-⫰(⨝⨆$5950$⋹⋡⊁$1881$))∼(↥((-$3660$)⇋≉))","expression":"(⇉-⫰(⨝⨆⇑⪆142300⋹⋡⊁⇑⪆30011))∼(↥((-⇑⪆104120)⇋≉))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":62826,"operation_count":7,"complexity_ratio":8975.142857142857,"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":5950,"base":5},"right_expr":{"type":"numeric_atoms","value":1881,"base":5}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3660,"base":5}}}}},"used_operators":["DyGG3AbaNP","IGFM8TAlm9","bQ67fsrMVf","As8RqfVLgs","A8NUZmVepG","XIabStNQrY","t8gj7n24qd"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eH2TOUuTDT","eewbuw0ToL","tifHPKVTfV","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5950","layer":4},{"info":"number node, value=1881","layer":4},{"info":"compute binary expreesion, left_input=5950, right_input=1881, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2631","layer":3},{"info":"compute unary expreesion, input=2631, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2422","layer":2},{"info":"compute unary expreesion, input=2422, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"number node, value=3660","layer":4},{"info":"compute unary expreesion, input=3660, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3660","layer":3},{"info":"compute unary expreesion, input=-3660, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-7418","layer":2},{"info":"compute unary expreesion, input=-7418, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=28","layer":1},{"info":"compute binary expreesion, left_input=20, right_input=28, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"(⇉-⫰(⨝⨆⇑⪆142300⋹⋡⊁⇑⪆30011))∼(↥((-⇑⪆104120)⇋≉))=⇑⪆0","reverse_text":"⇑⪆0=(⇉-⫰(⨝⨆⇑⪆142300⋹⋡⊁⇑⪆30011))∼(↥((-⇑⪆104120)⇋≉))","cot":[{"info":"⇑⪆142300⋹⋡⊁⇑⪆30011=⇑⪆41011","layer":3},{"info":"⨝⨆⇑⪆41011=⇑⪆34142","layer":2},{"info":"⇉-⫰⇑⪆34142=⇑⪆40","layer":1},{"info":"-⇑⪆104120=⇑⪆-104120","layer":3},{"info":"⇑⪆-104120⇋≉=⇑⪆-214133","layer":2},{"info":"↥⇑⪆-214133=⇑⪆103","layer":1},{"info":"⇑⪆40∼⇑⪆103=⇑⪆0","layer":0}]}
{"id":105,"expression_no_base_symbol":"(⊤⊝$1709$⪮%⊝$3705$∙⊟$1080$⩺⪪$5775$)-(∓$2094$)⨐($1542$⫯⪬∳$5754$)+⇶⊼(↸⊣$2453$)⨸($1728$⪬∳)","expression":"(⊤⊝⇑⪆23314⪮%⊝⇑⪆104310∙⊟⇑⪆13310⩺⪪⇑⪆141100)-(∓⇑⪆31334)⨐(⇑⪆22132⫯⪬∳⇑⪆141004)+⇶⊼(↸⊣⇑⪆34303)⨸(⇑⪆23403⪬∳)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11609,"operation_count":12,"complexity_ratio":967.4166666666666,"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":1709,"base":5},"right_expr":{"type":"numeric_atoms","value":3705,"base":5}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1080,"base":5},"right_expr":{"type":"numeric_atoms","value":5775,"base":5}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":2094,"base":5}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1542,"base":5},"right_expr":{"type":"numeric_atoms","value":5754,"base":5}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2453,"base":5}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":1728,"base":5}}}}},"used_operators":["rysDP5nf3Z","rXAclfmB4M","SxTAKzQCrw","IWmyXbctLI","uvdQJvN4PV","TpPTUOHfaN","Noe24qw2ks","OwUj7dcsQK","d7ASUq0ydm","KmoU8R5UQR","wztAlM01eG","O9U3z1385E"],"dependent_operators":["sdazOOVcIp","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","AHs5Up7iyr","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1709","layer":4},{"info":"number node, value=3705","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=3705, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3734","layer":3},{"info":"number node, value=1080","layer":4},{"info":"number node, value=5775","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=5775, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=3734, right_input=-1818, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=58388","layer":2},{"info":"compute unary expreesion, input=58388, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=115478","layer":1},{"info":"number node, value=2094","layer":4},{"info":"compute unary expreesion, input=2094, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-36282","layer":3},{"info":"number node, value=1542","layer":4},{"info":"number node, value=5754","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=5754, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=1989","layer":3},{"info":"compute binary expreesion, left_input=-36282, right_input=1989, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=72564","layer":2},{"info":"number node, value=2453","layer":4},{"info":"compute unary expreesion, input=2453, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2166","layer":3},{"info":"number node, value=1728","layer":4},{"info":"compute unary expreesion, input=1728, 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=-2166, right_input=-709, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=478106","layer":2},{"info":"compute binary expreesion, left_input=72564, right_input=478106, 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=115478, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⊤⊝⇑⪆23314⪮%⊝⇑⪆104310∙⊟⇑⪆13310⩺⪪⇑⪆141100)-(∓⇑⪆31334)⨐(⇑⪆22132⫯⪬∳⇑⪆141004)+⇶⊼(↸⊣⇑⪆34303)⨸(⇑⪆23403⪬∳)=NaN","reverse_text":"NaN=(⊤⊝⇑⪆23314⪮%⊝⇑⪆104310∙⊟⇑⪆13310⩺⪪⇑⪆141100)-(∓⇑⪆31334)⨐(⇑⪆22132⫯⪬∳⇑⪆141004)+⇶⊼(↸⊣⇑⪆34303)⨸(⇑⪆23403⪬∳)","cot":[{"info":"⇑⪆23314⪮%⊝⇑⪆104310=⇑⪆104414","layer":3},{"info":"⇑⪆13310⩺⪪⇑⪆141100=⇑⪆-24233","layer":3},{"info":"⇑⪆104414∙⊟⇑⪆-24233=⇑⪆3332023","layer":2},{"info":"⊤⊝⇑⪆3332023=⇑⪆12143403","layer":1},{"info":"∓⇑⪆31334=⇑⪆-2130112","layer":3},{"info":"⇑⪆22132⫯⪬∳⇑⪆141004=⇑⪆30424","layer":3},{"info":"⇑⪆-2130112⨐⇑⪆30424=⇑⪆4310224","layer":2},{"info":"↸⊣⇑⪆34303=⇑⪆-32131","layer":3},{"info":"⇑⪆23403⪬∳=⇑⪆-10314","layer":3},{"info":"⇑⪆-32131⨸⇑⪆-10314=⇑⪆110244411","layer":2},{"info":"⇑⪆4310224+⇶⊼⇑⪆110244411=NaN","layer":1},{"info":"⇑⪆12143403-NaN=NaN","layer":0}]}
{"id":106,"expression_no_base_symbol":"($1443$⫁$1027$%$3093$⩘$1471$)⫁⪎($2410$⊢$1745$⊝⪿⪼($1277$⨘))≄⊠(($1158$⋻⩜⩜$2968$)⨰$3327$⨿$1567$)⊱⇼⊻(+⊝⨔($1631$⫚↹⊑$4226$))","expression":"(⇑⪆21233⫁⇑⪆13102%⇑⪆44333⩘⇑⪆21341)⫁⪎(⇑⪆34120⊢⇑⪆23440⊝⪿⪼(⇑⪆20102⨘))≄⊠((⇑⪆14113⋻⩜⩜⇑⪆43333)⨰⇑⪆101302⨿⇑⪆22232)⊱⇼⊻(+⊝⨔(⇑⪆23011⫚↹⊑⇑⪆113401))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":43442,"operation_count":14,"complexity_ratio":3103.0,"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":1443,"base":5},"right_expr":{"type":"numeric_atoms","value":1027,"base":5}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3093,"base":5},"right_expr":{"type":"numeric_atoms","value":1471,"base":5}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2410,"base":5},"right_expr":{"type":"numeric_atoms","value":1745,"base":5}},"right_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":1277,"base":5}}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1158,"base":5},"right_expr":{"type":"numeric_atoms","value":2968,"base":5}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3327,"base":5},"right_expr":{"type":"numeric_atoms","value":1567,"base":5}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1631,"base":5},"right_expr":{"type":"numeric_atoms","value":4226,"base":5}}}}},"used_operators":["vXNesLlMH1","xRrnTEsQ6j","k8jYdgA6NY","0ajvFaJAv0","cHh1gJQ2o6","3Oe9XWJUTD","5twsqlHp2o","ljcfZBUpm8","FyVja0WsTP","eewbuw0ToL","oDCm7WA9JY","abYXlopdE0","DhbWaqg5eL","dfKe02y8D2"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rysDP5nf3Z","cHh1gJQ2o6","AHs5Up7iyr","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"⇑⪆22000","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1443","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=1443, right_input=1027, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=3093","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=3093, right_input=1471, 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=160, right_input=160, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=2410","layer":4},{"info":"number node, value=1745","layer":4},{"info":"compute binary expreesion, left_input=2410, right_input=1745, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5064","layer":3},{"info":"number node, value=1277","layer":4},{"info":"compute unary expreesion, input=1277, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-9714","layer":3},{"info":"compute binary expreesion, left_input=-5064, right_input=-9714, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-36560","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-36560, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=36560","layer":1},{"info":"number node, value=1158","layer":4},{"info":"number node, value=2968","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=2968, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2316","layer":3},{"info":"number node, value=3327","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=3327, right_input=1567, 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=2316, right_input=-319, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2645","layer":2},{"info":"number node, value=1631","layer":4},{"info":"number node, value=4226","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=4226, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, 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=2645, right_input=1522, 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=36560, right_input=434, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆21233⫁⇑⪆13102%⇑⪆44333⩘⇑⪆21341)⫁⪎(⇑⪆34120⊢⇑⪆23440⊝⪿⪼(⇑⪆20102⨘))≄⊠((⇑⪆14113⋻⩜⩜⇑⪆43333)⨰⇑⪆101302⨿⇑⪆22232)⊱⇼⊻(+⊝⨔(⇑⪆23011⫚↹⊑⇑⪆113401))=⇑⪆22000","reverse_text":"⇑⪆22000=(⇑⪆21233⫁⇑⪆13102%⇑⪆44333⩘⇑⪆21341)⫁⪎(⇑⪆34120⊢⇑⪆23440⊝⪿⪼(⇑⪆20102⨘))≄⊠((⇑⪆14113⋻⩜⩜⇑⪆43333)⨰⇑⪆101302⨿⇑⪆22232)⊱⇼⊻(+⊝⨔(⇑⪆23011⫚↹⊑⇑⪆113401))","cot":[{"info":"⇑⪆21233⫁⇑⪆13102=⇑⪆1120","layer":3},{"info":"⇑⪆44333⩘⇑⪆21341=⇑⪆1120","layer":3},{"info":"⇑⪆1120%⇑⪆1120=⇑⪆0","layer":2},{"info":"⇑⪆34120⊢⇑⪆23440=⇑⪆-130224","layer":3},{"info":"⇑⪆20102⨘=⇑⪆-302324","layer":3},{"info":"⇑⪆-130224⊝⪿⪼⇑⪆-302324=⇑⪆-2132220","layer":2},{"info":"⇑⪆0⫁⪎⇑⪆-2132220=⇑⪆2132220","layer":1},{"info":"⇑⪆14113⋻⩜⩜⇑⪆43333=⇑⪆33231","layer":3},{"info":"⇑⪆101302⨿⇑⪆22232=⇑⪆-2234","layer":3},{"info":"⇑⪆33231⨰⇑⪆-2234=⇑⪆41040","layer":2},{"info":"⇑⪆23011⫚↹⊑⇑⪆113401=⇑⪆-3242","layer":3},{"info":"+⊝⨔⇑⪆-3242=⇑⪆22042","layer":2},{"info":"⇑⪆41040⊱⇼⊻⇑⪆22042=⇑⪆3214","layer":1},{"info":"⇑⪆2132220≄⊠⇑⪆3214=⇑⪆22000","layer":0}]}
{"id":107,"expression_no_base_symbol":"(≛(↩⪖($1461$⪒$3238$)))⪶≀⋏($1272$≦↸$2272$∠↢$2832$∥⊢⊲$2489$)⇷($1540$⨔≚≋$3641$)⨔⇊($1755$⪭≯$1053$)","expression":"(≛(↩⪖(⇑⪆21321⪒⇑⪆100423)))⪶≀⋏(⇑⪆20042≦↸⇑⪆33042∠↢⇑⪆42312∥⊢⊲⇑⪆34424)⇷(⇑⪆22130⨔≚≋⇑⪆104031)⨔⇊(⇑⪆24010⪭≯⇑⪆13203)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":343,"operation_count":11,"complexity_ratio":31.181818181818183,"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":1461,"base":5},"right_expr":{"type":"numeric_atoms","value":3238,"base":5}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1272,"base":5},"right_expr":{"type":"numeric_atoms","value":2272,"base":5}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2832,"base":5},"right_expr":{"type":"numeric_atoms","value":2489,"base":5}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1540,"base":5},"right_expr":{"type":"numeric_atoms","value":3641,"base":5}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1755,"base":5},"right_expr":{"type":"numeric_atoms","value":1053,"base":5}}}}},"used_operators":["zR4jO40bMj","W7eaUhjymW","fG6uBQFnGz","f6k1SAg4EE","mp7IySMOzn","KbjG8mgYpV","RygbFNSyEJ","v1UQAVDJRr","JclMnS0uGI","Z57zeUYC9z","XAx5wpdLa6"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","EBcxylXtPf","rGHVDoGpnC","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1461","layer":4},{"info":"number node, value=3238","layer":4},{"info":"compute binary expreesion, left_input=1461, right_input=3238, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4699","layer":3},{"info":"compute unary expreesion, input=-4699, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=63592","layer":2},{"info":"compute unary expreesion, input=63592, 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=1272","layer":4},{"info":"number node, value=2272","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=2272, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-6407","layer":3},{"info":"number node, value=2832","layer":4},{"info":"number node, value=2489","layer":4},{"info":"compute binary expreesion, left_input=2832, right_input=2489, 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=-6407, 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=1540","layer":4},{"info":"number node, value=3641","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=3641, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1755","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=1755, right_input=1053, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9872, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-10, 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":5,"result_base":5,"text":"(≛(↩⪖(⇑⪆21321⪒⇑⪆100423)))⪶≀⋏(⇑⪆20042≦↸⇑⪆33042∠↢⇑⪆42312∥⊢⊲⇑⪆34424)⇷(⇑⪆22130⨔≚≋⇑⪆104031)⨔⇊(⇑⪆24010⪭≯⇑⪆13203)=NaN","reverse_text":"NaN=(≛(↩⪖(⇑⪆21321⪒⇑⪆100423)))⪶≀⋏(⇑⪆20042≦↸⇑⪆33042∠↢⇑⪆42312∥⊢⊲⇑⪆34424)⇷(⇑⪆22130⨔≚≋⇑⪆104031)⨔⇊(⇑⪆24010⪭≯⇑⪆13203)","cot":[{"info":"⇑⪆21321⪒⇑⪆100423=⇑⪆-122244","layer":3},{"info":"↩⪖⇑⪆-122244=⇑⪆4013332","layer":2},{"info":"≛⇑⪆4013332=⇑⪆-20","layer":1},{"info":"⇑⪆20042≦↸⇑⪆33042=⇑⪆-201112","layer":3},{"info":"⇑⪆42312∥⊢⊲⇑⪆34424=NaN","layer":3},{"info":"⇑⪆-201112∠↢NaN=NaN","layer":2},{"info":"⇑⪆22130⨔≚≋⇑⪆104031=⇑⪆303442","layer":3},{"info":"⇑⪆24010⪭≯⇑⪆13203=NaN","layer":3},{"info":"⇑⪆303442⨔⇊NaN=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"⇑⪆-20⪶≀⋏NaN=NaN","layer":0}]}
{"id":108,"expression_no_base_symbol":"⩒∊(⫯(($5163$⫉⨲⊜$2316$)⫏⊷))","expression":"⩒∊(⫯((⇑⪆131123⫉⨲⊜⇑⪆33231)⫏⊷))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":212,"operation_count":4,"complexity_ratio":53.0,"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":5163,"base":5},"right_expr":{"type":"numeric_atoms","value":2316,"base":5}}}}},"used_operators":["qazvmhNBbN","H6BK1Evt7c","dcShxvzhyw","WhqkvtTD3t"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","eewbuw0ToL","zVYPLywUTj"],"result":"⇑⪆4212213","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5163","layer":4},{"info":"number node, value=2316","layer":4},{"info":"compute binary expreesion, left_input=5163, right_input=2316, 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 = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-818","layer":2},{"info":"compute unary expreesion, input=-818, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=35220","layer":1},{"info":"compute unary expreesion, input=35220, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=69683","layer":0}],"base":5,"result_base":5,"text":"⩒∊(⫯((⇑⪆131123⫉⨲⊜⇑⪆33231)⫏⊷))=⇑⪆4212213","reverse_text":"⇑⪆4212213=⩒∊(⫯((⇑⪆131123⫉⨲⊜⇑⪆33231)⫏⊷))","cot":[{"info":"⇑⪆131123⫉⨲⊜⇑⪆33231=⇑⪆0","layer":3},{"info":"⇑⪆0⫏⊷=⇑⪆-11233","layer":2},{"info":"⫯⇑⪆-11233=⇑⪆2111340","layer":1},{"info":"⩒∊⇑⪆2111340=⇑⪆4212213","layer":0}]}
{"id":109,"expression_no_base_symbol":"(⨛($5169$∽$2500$))∓⋝(($3680$⨚⇆$2398$)⪗)≃($1361$⪕$4811$≃$2681$⪔$1469$/($6704$→⨶⪴$1582$)⊮⊟↴($1636$⊉≛↸$6964$))","expression":"(⨛(⇑⪆131134∽⇑⪆40000))∓⋝((⇑⪆104210⨚⇆⇑⪆34043)⪗)≃(⇑⪆20421⪕⇑⪆123221≃⇑⪆41211⪔⇑⪆21334/(⇑⪆203304→⨶⪴⇑⪆22312)⊮⊟↴(⇑⪆23021⊉≛↸⇑⪆210324))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":32328,"operation_count":13,"complexity_ratio":2486.769230769231,"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":5169,"base":5},"right_expr":{"type":"numeric_atoms","value":2500,"base":5}}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3680,"base":5},"right_expr":{"type":"numeric_atoms","value":2398,"base":5}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1361,"base":5},"right_expr":{"type":"numeric_atoms","value":4811,"base":5}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2681,"base":5},"right_expr":{"type":"numeric_atoms","value":1469,"base":5}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":6704,"base":5},"right_expr":{"type":"numeric_atoms","value":1582,"base":5}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1636,"base":5},"right_expr":{"type":"numeric_atoms","value":6964,"base":5}}}}},"used_operators":["YbVcJGFEVW","PoHhknlbAi","CoMdbyAt7R","y4ImoPnbV5","VEQNXA0ZBg","lwHaAYXP2r","XhwjNDsVaA","umQnsF7QlU","GjBEYRfMaF","QDVgd2eftb","bF6eod5Gvf","DZ8iAZOCBD"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","NTOWxs364D","QMFrweE19q","dWAJyo7jo9","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5169","layer":4},{"info":"number node, value=2500","layer":4},{"info":"compute binary expreesion, left_input=5169, right_input=2500, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-33167","layer":3},{"info":"compute unary expreesion, input=-33167, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=0","layer":2},{"info":"number node, value=3680","layer":4},{"info":"number node, value=2398","layer":4},{"info":"compute binary expreesion, left_input=3680, right_input=2398, 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 = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":1},{"info":"number node, value=1361","layer":4},{"info":"number node, value=4811","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=4811, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"number node, value=2681","layer":4},{"info":"number node, value=1469","layer":4},{"info":"compute binary expreesion, left_input=2681, right_input=1469, 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=-55, right_input=450, 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=90","layer":2},{"info":"number node, value=6704","layer":4},{"info":"number node, value=1582","layer":4},{"info":"compute binary expreesion, left_input=6704, right_input=1582, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4746","layer":3},{"info":"number node, value=1636","layer":4},{"info":"number node, value=6964","layer":4},{"info":"compute binary expreesion, left_input=1636, right_input=6964, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3272","layer":3},{"info":"compute binary expreesion, left_input=-4746, right_input=3272, 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=90, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=121, 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":5,"result_base":5,"text":"(⨛(⇑⪆131134∽⇑⪆40000))∓⋝((⇑⪆104210⨚⇆⇑⪆34043)⪗)≃(⇑⪆20421⪕⇑⪆123221≃⇑⪆41211⪔⇑⪆21334/(⇑⪆203304→⨶⪴⇑⪆22312)⊮⊟↴(⇑⪆23021⊉≛↸⇑⪆210324))=NaN","reverse_text":"NaN=(⨛(⇑⪆131134∽⇑⪆40000))∓⋝((⇑⪆104210⨚⇆⇑⪆34043)⪗)≃(⇑⪆20421⪕⇑⪆123221≃⇑⪆41211⪔⇑⪆21334/(⇑⪆203304→⨶⪴⇑⪆22312)⊮⊟↴(⇑⪆23021⊉≛↸⇑⪆210324))","cot":[{"info":"⇑⪆131134∽⇑⪆40000=⇑⪆-2030132","layer":3},{"info":"⨛⇑⪆-2030132=⇑⪆0","layer":2},{"info":"⇑⪆104210⨚⇆⇑⪆34043=NaN","layer":3},{"info":"NaN⪗=NaN","layer":2},{"info":"⇑⪆0∓⋝NaN=⇑⪆441","layer":1},{"info":"⇑⪆20421⪕⇑⪆123221=⇑⪆-210","layer":3},{"info":"⇑⪆41211⪔⇑⪆21334=⇑⪆3300","layer":3},{"info":"⇑⪆-210≃⇑⪆3300=⇑⪆330","layer":2},{"info":"⇑⪆203304→⨶⪴⇑⪆22312=⇑⪆-122441","layer":3},{"info":"⇑⪆23021⊉≛↸⇑⪆210324=⇑⪆101042","layer":3},{"info":"⇑⪆-122441⊮⊟↴⇑⪆101042=⇑⪆0","layer":2},{"info":"⇑⪆330/⇑⪆0=NaN","layer":1},{"info":"⇑⪆441≃NaN=NaN","layer":0}]}
{"id":110,"expression_no_base_symbol":"((⊁⨺$8273$)⇴∐(≦∁$1738$)∪⫐($1985$⊴$2444$)+⪬∐($1166$⨫⇇↔$1116$))⨑≵⋬(↽≂$2348$⨚$5452$⫒⫫($3072$⨭⪣$1612$))","expression":"((⊁⨺⇑⪆231043)⇴∐(≦∁⇑⪆23423)∪⫐(⇑⪆30420⊴⇑⪆34234)+⪬∐(⇑⪆14131⨫⇇↔⇑⪆13431))⨑≵⋬(↽≂⇑⪆33343⨚⇑⪆133302⫒⫫(⇑⪆44242⨭⪣⇑⪆22422))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2606,"operation_count":12,"complexity_ratio":217.16666666666666,"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":8273,"base":5}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1738,"base":5}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1985,"base":5},"right_expr":{"type":"numeric_atoms","value":2444,"base":5}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1166,"base":5},"right_expr":{"type":"numeric_atoms","value":1116,"base":5}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2348,"base":5},"right_expr":{"type":"numeric_atoms","value":5452,"base":5}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":3072,"base":5},"right_expr":{"type":"numeric_atoms","value":1612,"base":5}}}}},"used_operators":["XnXgA4xnOs","7YooWSwCyH","HnzytWxmAO","PxiHyQbrIp","9ICcGScMcE","2GS7woTJqF","Nsiff2A1zJ","LXhwmt4mBO","u6S6b8DprG","6Ko8hGgeMq","nREPSIbpBE","kn8WO9XteQ"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rJVOvQCfKK","2DDjHMKMc0","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","g55IO6H4Gj","D4vGDi5EA2","dWAJyo7jo9","14qkJME0vr","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","BjRHVeLaeN","12rbrZMWeM","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"⇑⪆324042101","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8273","layer":4},{"info":"compute unary expreesion, input=8273, 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=1738","layer":4},{"info":"compute unary expreesion, input=1738, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1738","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1738, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-226","layer":2},{"info":"number node, value=1985","layer":4},{"info":"number node, value=2444","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=2444, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1166","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=1116, 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 = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-226, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-226","layer":1},{"info":"number node, value=2348","layer":4},{"info":"number node, value=5452","layer":4},{"info":"compute binary expreesion, left_input=2348, right_input=5452, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-16178","layer":3},{"info":"number node, value=3072","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=3072, right_input=1612, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1793","layer":3},{"info":"compute binary expreesion, left_input=-16178, right_input=1793, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=77340","layer":2},{"info":"compute unary expreesion, input=77340, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-154680","layer":1},{"info":"compute binary expreesion, left_input=-226, right_input=-154680, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=1393401","layer":0}],"base":5,"result_base":5,"text":"((⊁⨺⇑⪆231043)⇴∐(≦∁⇑⪆23423)∪⫐(⇑⪆30420⊴⇑⪆34234)+⪬∐(⇑⪆14131⨫⇇↔⇑⪆13431))⨑≵⋬(↽≂⇑⪆33343⨚⇑⪆133302⫒⫫(⇑⪆44242⨭⪣⇑⪆22422))=⇑⪆324042101","reverse_text":"⇑⪆324042101=((⊁⨺⇑⪆231043)⇴∐(≦∁⇑⪆23423)∪⫐(⇑⪆30420⊴⇑⪆34234)+⪬∐(⇑⪆14131⨫⇇↔⇑⪆13431))⨑≵⋬(↽≂⇑⪆33343⨚⇑⪆133302⫒⫫(⇑⪆44242⨭⪣⇑⪆22422))","cot":[{"info":"⊁⨺⇑⪆231043=⇑⪆1120","layer":3},{"info":"≦∁⇑⪆23423=⇑⪆23423","layer":3},{"info":"⇑⪆1120⇴∐⇑⪆23423=⇑⪆-1401","layer":2},{"info":"⇑⪆30420⊴⇑⪆34234=NaN","layer":3},{"info":"⇑⪆14131⨫⇇↔⇑⪆13431=⇑⪆-4102","layer":3},{"info":"NaN+⪬∐⇑⪆-4102=NaN","layer":2},{"info":"⇑⪆-1401∪⫐NaN=⇑⪆-1401","layer":1},{"info":"⇑⪆33343⨚⇑⪆133302=⇑⪆-1004203","layer":3},{"info":"⇑⪆44242⨭⪣⇑⪆22422=⇑⪆24133","layer":3},{"info":"⇑⪆-1004203⫒⫫⇑⪆24133=⇑⪆4433330","layer":2},{"info":"↽≂⇑⪆4433330=⇑⪆-14422210","layer":1},{"info":"⇑⪆-1401⨑≵⋬⇑⪆-14422210=⇑⪆324042101","layer":0}]}
{"id":111,"expression_no_base_symbol":"((⪫⨮⊛($2819$⨱∎))⩵∡$3606$∓⋝$1087$⋾⨃∁$1050$⨚⇆$3010$)⪪((↸⊣(⫡⇟⇯$1883$))∟)","expression":"((⪫⨮⊛(⇑⪆42234⨱∎))⩵∡⇑⪆103411∓⋝⇑⪆13322⋾⨃∁⇑⪆13200⨚⇆⇑⪆44020)⪪((↸⊣(⫡⇟⇯⇑⪆30013))∟)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20622,"operation_count":10,"complexity_ratio":2062.2,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":2819,"base":5}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3606,"base":5},"right_expr":{"type":"numeric_atoms","value":1087,"base":5}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1050,"base":5},"right_expr":{"type":"numeric_atoms","value":3010,"base":5}}}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1883,"base":5}}}}},"used_operators":["xD69zh8xqp","Y7wcNGrDQJ","w5FWba1tyO","MmTdOpaElr","212REbPD9h","PoHhknlbAi","lwHaAYXP2r","hTbEZDJLEm","wztAlM01eG","qWUSsah53b"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","NTOWxs364D","glklzrTFfD","tifHPKVTfV","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","tifHPKVTfV","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","DZ8iAZOCBD","P8v4zCKN1o"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2819","layer":4},{"info":"compute unary expreesion, input=2819, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=0","layer":2},{"info":"number node, value=3606","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=3606, right_input=1087, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=1050","layer":4},{"info":"number node, value=3010","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=3010, 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=67, 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":"compute binary expreesion, left_input=0, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"number node, value=1883","layer":4},{"info":"compute unary expreesion, input=1883, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4634","layer":3},{"info":"compute unary expreesion, input=4634, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-4347","layer":2},{"info":"compute unary expreesion, input=-4347, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⪫⨮⊛(⇑⪆42234⨱∎))⩵∡⇑⪆103411∓⋝⇑⪆13322⋾⨃∁⇑⪆13200⨚⇆⇑⪆44020)⪪((↸⊣(⫡⇟⇯⇑⪆30013))∟)=NaN","reverse_text":"NaN=((⪫⨮⊛(⇑⪆42234⨱∎))⩵∡⇑⪆103411∓⋝⇑⪆13322⋾⨃∁⇑⪆13200⨚⇆⇑⪆44020)⪪((↸⊣(⫡⇟⇯⇑⪆30013))∟)","cot":[{"info":"⇑⪆42234⨱∎=⇑⪆0","layer":3},{"info":"⪫⨮⊛⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆103411∓⋝⇑⪆13322=⇑⪆232","layer":3},{"info":"⇑⪆13200⨚⇆⇑⪆44020=NaN","layer":3},{"info":"⇑⪆232⋾⨃∁NaN=NaN","layer":2},{"info":"⇑⪆0⩵∡NaN=NaN","layer":1},{"info":"⫡⇟⇯⇑⪆30013=⇑⪆122014","layer":3},{"info":"↸⊣⇑⪆122014=⇑⪆-114342","layer":2},{"info":"⇑⪆-114342∟=⇑⪆423","layer":1},{"info":"NaN⪪⇑⪆423=NaN","layer":0}]}
{"id":112,"expression_no_base_symbol":"($7364$∊∟⩊$2533$⇞)⪟⇏($3719$⨥⫆$5271$⪁(⇾⩊⇾$3661$))⩨(($1320$⩌⋺$2507$)⩖⊿($2203$⋣⋖$4365$))⨸(∜⨇($1527$⋅⇍$1119$))","expression":"(⇑⪆213424∊∟⩊⇑⪆40113⇞)⪟⇏(⇑⪆104334⨥⫆⇑⪆132041⪁(⇾⩊⇾⇑⪆104121))⩨((⇑⪆20240⩌⋺⇑⪆40012)⩖⊿(⇑⪆32303⋣⋖⇑⪆114430))⨸(∜⨇(⇑⪆22102⋅⇍⇑⪆13434))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":605258,"operation_count":13,"complexity_ratio":46558.307692307695,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":7364,"base":5},"right_expr":{"type":"numeric_atoms","value":2533,"base":5}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3719,"base":5},"right_expr":{"type":"numeric_atoms","value":5271,"base":5}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":3661,"base":5}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1320,"base":5},"right_expr":{"type":"numeric_atoms","value":2507,"base":5}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2203,"base":5},"right_expr":{"type":"numeric_atoms","value":4365,"base":5}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1527,"base":5},"right_expr":{"type":"numeric_atoms","value":1119,"base":5}}}}},"used_operators":["2DlMacCsIx","GODebY97qR","5JYyxRJd4f","ddLRYrp01A","I7sXao9hZE","yXekIHxTD4","bx9Z9DAK5y","KmoU8R5UQR","RZ5CV9rWsJ","g7Hmc5v1ko","J0M6qkBnIM","uFPyJr306J","AdZkA7nFnk"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⇑⪆411014412","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7364","layer":4},{"info":"number node, value=2533","layer":4},{"info":"compute binary expreesion, left_input=7364, right_input=2533, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2533","layer":3},{"info":"compute unary expreesion, input=2533, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=10045","layer":2},{"info":"number node, value=3719","layer":4},{"info":"number node, value=5271","layer":4},{"info":"compute binary expreesion, left_input=3719, right_input=5271, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=10418","layer":3},{"info":"number node, value=3661","layer":4},{"info":"compute unary expreesion, input=3661, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-39435","layer":3},{"info":"compute binary expreesion, left_input=10418, right_input=-39435, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10045, 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=1320","layer":4},{"info":"number node, value=2507","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=2507, 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=-3948","layer":3},{"info":"number node, value=2203","layer":4},{"info":"number node, value=4365","layer":4},{"info":"compute binary expreesion, left_input=2203, right_input=4365, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2203","layer":3},{"info":"compute binary expreesion, left_input=-3948, right_input=2203, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-2492","layer":2},{"info":"number node, value=1527","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=1527, right_input=1119, 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 = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-2492, right_input=0, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=552494","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=552494, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=1657482","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆213424∊∟⩊⇑⪆40113⇞)⪟⇏(⇑⪆104334⨥⫆⇑⪆132041⪁(⇾⩊⇾⇑⪆104121))⩨((⇑⪆20240⩌⋺⇑⪆40012)⩖⊿(⇑⪆32303⋣⋖⇑⪆114430))⨸(∜⨇(⇑⪆22102⋅⇍⇑⪆13434))=⇑⪆411014412","reverse_text":"⇑⪆411014412=(⇑⪆213424∊∟⩊⇑⪆40113⇞)⪟⇏(⇑⪆104334⨥⫆⇑⪆132041⪁(⇾⩊⇾⇑⪆104121))⩨((⇑⪆20240⩌⋺⇑⪆40012)⩖⊿(⇑⪆32303⋣⋖⇑⪆114430))⨸(∜⨇(⇑⪆22102⋅⇍⇑⪆13434))","cot":[{"info":"⇑⪆213424∊∟⩊⇑⪆40113=⇑⪆40113","layer":3},{"info":"⇑⪆40113⇞=⇑⪆310140","layer":2},{"info":"⇑⪆104334⨥⫆⇑⪆132041=⇑⪆313133","layer":3},{"info":"⇾⩊⇾⇑⪆104121=⇑⪆-2230220","layer":3},{"info":"⇑⪆313133⪁⇑⪆-2230220=NaN","layer":2},{"info":"⇑⪆310140⪟⇏NaN=⇑⪆-1","layer":1},{"info":"⇑⪆20240⩌⋺⇑⪆40012=⇑⪆-111243","layer":3},{"info":"⇑⪆32303⋣⋖⇑⪆114430=⇑⪆32303","layer":3},{"info":"⇑⪆-111243⩖⊿⇑⪆32303=⇑⪆-34432","layer":2},{"info":"⇑⪆22102⋅⇍⇑⪆13434=⇑⪆-42","layer":3},{"info":"∜⨇⇑⪆-42=⇑⪆0","layer":2},{"info":"⇑⪆-34432⨸⇑⪆0=⇑⪆120134434","layer":1},{"info":"⇑⪆-1⩨⇑⪆120134434=⇑⪆411014412","layer":0}]}
{"id":113,"expression_no_base_symbol":"($1847$⨰$6940$⨔≚≋(⩩$6342$))⫞⩸⩒($2992$⨪↰⇹$1224$⊉≛↸(≘$1486$))∑⇟⊟(⇺⋃($3201$⇼⇔∾$1388$)⫁($7261$⫭))","expression":"(⇑⪆24342⨰⇑⪆210230⨔≚≋(⩩⇑⪆200332))⫞⩸⩒(⇑⪆43432⨪↰⇹⇑⪆14344⊉≛↸(≘⇑⪆21421))∑⇟⊟(⇺⋃(⇑⪆100301⇼⇔∾⇑⪆21023)⫁(⇑⪆213021⫭))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14516,"operation_count":12,"complexity_ratio":1209.6666666666667,"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":1847,"base":5},"right_expr":{"type":"numeric_atoms","value":6940,"base":5}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":6342,"base":5}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2992,"base":5},"right_expr":{"type":"numeric_atoms","value":1224,"base":5}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1486,"base":5}}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3201,"base":5},"right_expr":{"type":"numeric_atoms","value":1388,"base":5}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":7261,"base":5}}}}},"used_operators":["U7g4x0WXJJ","XGcMNugi78","Z57zeUYC9z","eewbuw0ToL","kMhfGuqI2H","DZ8iAZOCBD","tmPS8pqC7x","tcjXMdvYtA","E5v5B3UAjG","0ajvFaJAv0","tifHPKVTfV","t4WUHVGj7f"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1847","layer":4},{"info":"number node, value=6940","layer":4},{"info":"compute binary expreesion, left_input=1847, right_input=6940, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5083","layer":3},{"info":"number node, value=6342","layer":4},{"info":"compute unary expreesion, input=6342, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5083, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"number node, value=2992","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=2992, right_input=1224, 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=2992","layer":3},{"info":"number node, value=1486","layer":4},{"info":"compute unary expreesion, input=1486, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=3277414","layer":3},{"info":"compute binary expreesion, left_input=2992, right_input=3277414, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5984","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5984, 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":"number node, value=3201","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=3201, right_input=1388, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1813","layer":3},{"info":"number node, value=7261","layer":4},{"info":"compute unary expreesion, input=7261, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=22024","layer":3},{"info":"compute binary expreesion, left_input=-1813, right_input=22024, 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 = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=1037","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1037, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆24342⨰⇑⪆210230⨔≚≋(⩩⇑⪆200332))⫞⩸⩒(⇑⪆43432⨪↰⇹⇑⪆14344⊉≛↸(≘⇑⪆21421))∑⇟⊟(⇺⋃(⇑⪆100301⇼⇔∾⇑⪆21023)⫁(⇑⪆213021⫭))=NaN","reverse_text":"NaN=(⇑⪆24342⨰⇑⪆210230⨔≚≋(⩩⇑⪆200332))⫞⩸⩒(⇑⪆43432⨪↰⇹⇑⪆14344⊉≛↸(≘⇑⪆21421))∑⇟⊟(⇺⋃(⇑⪆100301⇼⇔∾⇑⪆21023)⫁(⇑⪆213021⫭))","cot":[{"info":"⇑⪆24342⨰⇑⪆210230=⇑⪆-130313","layer":3},{"info":"⩩⇑⪆200332=NaN","layer":3},{"info":"⇑⪆-130313⨔≚≋NaN=NaN","layer":2},{"info":"⇑⪆43432⨪↰⇹⇑⪆14344=⇑⪆43432","layer":3},{"info":"≘⇑⪆21421=⇑⪆1314334124","layer":3},{"info":"⇑⪆43432⊉≛↸⇑⪆1314334124=⇑⪆142414","layer":2},{"info":"NaN⫞⩸⩒⇑⪆142414=NaN","layer":1},{"info":"⇑⪆100301⇼⇔∾⇑⪆21023=⇑⪆-24223","layer":3},{"info":"⇑⪆213021⫭=⇑⪆1201044","layer":3},{"info":"⇑⪆-24223⫁⇑⪆1201044=⇑⪆1120","layer":2},{"info":"⇺⋃⇑⪆1120=⇑⪆13122","layer":1},{"info":"NaN∑⇟⊟⇑⪆13122=NaN","layer":0}]}
{"id":114,"expression_no_base_symbol":"(⊁⨺($1888$⪡$4475$)⫯⪬∳$4112$≁$2128$)⇮⋭(($1967$⫡⨏$1820$)⋳⪒$1941$⪃⊛⇣$2153$)≝⊿(($3216$⨳⩥⨓$8345$)⇴$6135$≀⫉$3967$)","expression":"(⊁⨺(⇑⪆30023⪡⇑⪆120400)⫯⪬∳⇑⪆112422≁⇑⪆32003)⇮⋭((⇑⪆30332⫡⨏⇑⪆24240)⋳⪒⇑⪆30231⪃⊛⇣⇑⪆32103)≝⊿((⇑⪆100331⨳⩥⨓⇑⪆231340)⇴⇑⪆144020≀⫉⇑⪆111332)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":941,"operation_count":12,"complexity_ratio":78.41666666666667,"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":1888,"base":5},"right_expr":{"type":"numeric_atoms","value":4475,"base":5}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4112,"base":5},"right_expr":{"type":"numeric_atoms","value":2128,"base":5}}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1967,"base":5},"right_expr":{"type":"numeric_atoms","value":1820,"base":5}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1941,"base":5},"right_expr":{"type":"numeric_atoms","value":2153,"base":5}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3216,"base":5},"right_expr":{"type":"numeric_atoms","value":8345,"base":5}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":6135,"base":5},"right_expr":{"type":"numeric_atoms","value":3967,"base":5}}}}},"used_operators":["vkpjKywKVM","PxiHyQbrIp","d7ASUq0ydm","oraRL2iQuh","8N2wDY1A35","OKKcZfAt5B","12rbrZMWeM","QMFrweE19q","rrgAzCduG9","4JB6nKBMSY","nCS4ZIUYfx","oZj3VtZNQx"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","sdazOOVcIp","NTOWxs364D","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"⇑⪆232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1888","layer":4},{"info":"number node, value=4475","layer":4},{"info":"compute binary expreesion, left_input=1888, right_input=4475, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=4112","layer":4},{"info":"number node, value=2128","layer":4},{"info":"compute binary expreesion, left_input=4112, right_input=2128, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=37871","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=37871, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-37303","layer":2},{"info":"compute unary expreesion, input=-37303, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-260338","layer":1},{"info":"number node, value=1967","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=1967, right_input=1820, 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=14258","layer":3},{"info":"number node, value=1941","layer":4},{"info":"number node, value=2153","layer":4},{"info":"compute binary expreesion, left_input=1941, right_input=2153, 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=14258, right_input=1234, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=26995","layer":2},{"info":"number node, value=3216","layer":4},{"info":"number node, value=8345","layer":4},{"info":"compute binary expreesion, left_input=3216, right_input=8345, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5129","layer":3},{"info":"number node, value=6135","layer":4},{"info":"number node, value=3967","layer":4},{"info":"compute binary expreesion, left_input=6135, right_input=3967, 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=5129, right_input=2822, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=36032","layer":2},{"info":"compute binary expreesion, left_input=26995, right_input=36032, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-99592","layer":1},{"info":"compute binary expreesion, left_input=-260338, right_input=-99592, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":5,"result_base":5,"text":"(⊁⨺(⇑⪆30023⪡⇑⪆120400)⫯⪬∳⇑⪆112422≁⇑⪆32003)⇮⋭((⇑⪆30332⫡⨏⇑⪆24240)⋳⪒⇑⪆30231⪃⊛⇣⇑⪆32103)≝⊿((⇑⪆100331⨳⩥⨓⇑⪆231340)⇴⇑⪆144020≀⫉⇑⪆111332)=⇑⪆232","reverse_text":"⇑⪆232=(⊁⨺(⇑⪆30023⪡⇑⪆120400)⫯⪬∳⇑⪆112422≁⇑⪆32003)⇮⋭((⇑⪆30332⫡⨏⇑⪆24240)⋳⪒⇑⪆30231⪃⊛⇣⇑⪆32103)≝⊿((⇑⪆100331⨳⩥⨓⇑⪆231340)⇴⇑⪆144020≀⫉⇑⪆111332)","cot":[{"info":"⇑⪆30023⪡⇑⪆120400=⇑⪆412","layer":3},{"info":"⇑⪆112422≁⇑⪆32003=⇑⪆2202441","layer":3},{"info":"⇑⪆412⫯⪬∳⇑⪆2202441=⇑⪆-2143203","layer":2},{"info":"⊁⨺⇑⪆-2143203=⇑⪆-31312323","layer":1},{"info":"⇑⪆30332⫡⨏⇑⪆24240=⇑⪆424013","layer":3},{"info":"⇑⪆30231⪃⊛⇣⇑⪆32103=⇑⪆14414","layer":3},{"info":"⇑⪆424013⋳⪒⇑⪆14414=⇑⪆1330440","layer":2},{"info":"⇑⪆100331⨳⩥⨓⇑⪆231340=⇑⪆131004","layer":3},{"info":"⇑⪆144020≀⫉⇑⪆111332=⇑⪆42242","layer":3},{"info":"⇑⪆131004⇴⇑⪆42242=⇑⪆2123112","layer":2},{"info":"⇑⪆1330440≝⊿⇑⪆2123112=⇑⪆-11141332","layer":1},{"info":"⇑⪆-31312323⇮⋭⇑⪆-11141332=⇑⪆232","layer":0}]}
{"id":115,"expression_no_base_symbol":"((($5905$∽$2034$)⊝)⩠)≝⊰⇂","expression":"(((⇑⪆142110∽⇑⪆31114)⊝)⩠)≝⊰⇂","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1450,"operation_count":4,"complexity_ratio":362.5,"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":5905,"base":5},"right_expr":{"type":"numeric_atoms","value":2034,"base":5}}}}},"used_operators":["htSmYCowi5","sJAwomhLZr","O6EZ0fifGK","y4ImoPnbV5"],"dependent_operators":["9FxExcQeMw","DlLNRPXxWL","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","NTOWxs364D","QMFrweE19q"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5905","layer":4},{"info":"number node, value=2034","layer":4},{"info":"compute binary expreesion, left_input=5905, right_input=2034, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-35449","layer":3},{"info":"compute unary expreesion, input=-35449, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=-35449","layer":2},{"info":"compute unary expreesion, input=-35449, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=142005","layer":1},{"info":"compute unary expreesion, input=142005, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆142110∽⇑⪆31114)⊝)⩠)≝⊰⇂=⇑⪆0","reverse_text":"⇑⪆0=(((⇑⪆142110∽⇑⪆31114)⊝)⩠)≝⊰⇂","cot":[{"info":"⇑⪆142110∽⇑⪆31114=⇑⪆-2113244","layer":3},{"info":"⇑⪆-2113244⊝=⇑⪆-2113244","layer":2},{"info":"⇑⪆-2113244⩠=⇑⪆14021010","layer":1},{"info":"⇑⪆14021010≝⊰⇂=⇑⪆0","layer":0}]}
{"id":116,"expression_no_base_symbol":"(↣≠⋷($3580$⨽$4586$))⩺⪪($1147$⋭≵$1212$+($1387$⊊))⩭","expression":"(↣≠⋷(⇑⪆103310⨽⇑⪆121321))⩺⪪(⇑⪆14042⋭≵⇑⪆14322+(⇑⪆21022⊊))⩭","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4193,"operation_count":7,"complexity_ratio":599.0,"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":3580,"base":5},"right_expr":{"type":"numeric_atoms","value":4586,"base":5}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1147,"base":5},"right_expr":{"type":"numeric_atoms","value":1212,"base":5}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":1387,"base":5}}}}},"used_operators":["yIPP7u6H5x","uvdQJvN4PV","Asc51vEJeQ","8HhzD0ZcuI","W4YGzv6Whe","jBncVCNhdl","W9R8I5fN5A"],"dependent_operators":["nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","XhwjNDsVaA","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3580","layer":4},{"info":"number node, value=4586","layer":4},{"info":"compute binary expreesion, left_input=3580, right_input=4586, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-38461644","layer":3},{"info":"compute unary expreesion, input=-38461644, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1147","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=1212, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=5847","layer":3},{"info":"number node, value=1387","layer":4},{"info":"compute unary expreesion, input=1387, 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=5847, right_input=90927, op_id = W4YGzv6Whe binary_op_definition= 'None', output=96774","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=96774, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(↣≠⋷(⇑⪆103310⨽⇑⪆121321))⩺⪪(⇑⪆14042⋭≵⇑⪆14322+(⇑⪆21022⊊))⩭=NaN","reverse_text":"NaN=(↣≠⋷(⇑⪆103310⨽⇑⪆121321))⩺⪪(⇑⪆14042⋭≵⇑⪆14322+(⇑⪆21022⊊))⩭","cot":[{"info":"⇑⪆103310⨽⇑⪆121321=⇑⪆-34321233034","layer":3},{"info":"↣≠⋷⇑⪆-34321233034=NaN","layer":2},{"info":"⇑⪆14042⋭≵⇑⪆14322=⇑⪆141342","layer":3},{"info":"⇑⪆21022⊊=⇑⪆10402202","layer":3},{"info":"⇑⪆141342+⇑⪆10402202=⇑⪆11044044","layer":2},{"info":"NaN⩺⪪⇑⪆11044044=NaN","layer":1},{"info":"NaN⩭=NaN","layer":0}]}
{"id":117,"expression_no_base_symbol":"(((⨈⪑$2263$)⊱⇼⊻($1748$⇣⩺⋵$1106$))⩱)⋹⋡⊁(((⨈⫕$1116$)⩨(↽≂$2338$))⪄($1026$∠⫱$2529$)∀⇚≩($1805$⇌⫙⪟$4231$))","expression":"(((⨈⪑⇑⪆33023)⊱⇼⊻(⇑⪆23443⇣⩺⋵⇑⪆13411))⩱)⋹⋡⊁(((⨈⫕⇑⪆13431)⩨(↽≂⇑⪆33323))⪄(⇑⪆13101∠⫱⇑⪆40104)∀⇚≩(⇑⪆24210⇌⫙⪟⇑⪆113411))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":72066,"operation_count":12,"complexity_ratio":6005.5,"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":2263,"base":5}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1748,"base":5},"right_expr":{"type":"numeric_atoms","value":1106,"base":5}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1116,"base":5}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2338,"base":5}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1026,"base":5},"right_expr":{"type":"numeric_atoms","value":2529,"base":5}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1805,"base":5},"right_expr":{"type":"numeric_atoms","value":4231,"base":5}}}}},"used_operators":["As8RqfVLgs","uyq1hVkAcj","FyVja0WsTP","mp94q5OcYM","F4yD0voBRQ","SUmda5xLS4","2DlMacCsIx","megm06wKyl","u6S6b8DprG","LRNGc0VcxI","QvoQhV0rrE","AFVx7xoS7T"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"⇑⪆122404","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2263","layer":4},{"info":"compute unary expreesion, input=2263, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"number node, value=1748","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=1748, right_input=1106, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-260, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=6274","layer":2},{"info":"compute unary expreesion, input=6274, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-37894","layer":1},{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, 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=2338","layer":4},{"info":"compute unary expreesion, input=2338, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4676","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-4676, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-666","layer":2},{"info":"number node, value=1026","layer":4},{"info":"number node, value=2529","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=2529, 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=1805","layer":4},{"info":"number node, value=4231","layer":4},{"info":"compute binary expreesion, left_input=1805, right_input=4231, 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=1234, right_input=113, 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=-666, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=-37894, right_input=3979, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4729","layer":0}],"base":5,"result_base":5,"text":"(((⨈⪑⇑⪆33023)⊱⇼⊻(⇑⪆23443⇣⩺⋵⇑⪆13411))⩱)⋹⋡⊁(((⨈⫕⇑⪆13431)⩨(↽≂⇑⪆33323))⪄(⇑⪆13101∠⫱⇑⪆40104)∀⇚≩(⇑⪆24210⇌⫙⪟⇑⪆113411))=⇑⪆122404","reverse_text":"⇑⪆122404=(((⨈⪑⇑⪆33023)⊱⇼⊻(⇑⪆23443⇣⩺⋵⇑⪆13411))⩱)⋹⋡⊁(((⨈⫕⇑⪆13431)⩨(↽≂⇑⪆33323))⪄(⇑⪆13101∠⫱⇑⪆40104)∀⇚≩(⇑⪆24210⇌⫙⪟⇑⪆113411))","cot":[{"info":"⨈⪑⇑⪆33023=⇑⪆11433","layer":3},{"info":"⇑⪆23443⇣⩺⋵⇑⪆13411=⇑⪆-2020","layer":3},{"info":"⇑⪆11433⊱⇼⊻⇑⪆-2020=⇑⪆200044","layer":2},{"info":"⇑⪆200044⩱=⇑⪆-2203034","layer":1},{"info":"⨈⫕⇑⪆13431=⇑⪆-41","layer":3},{"info":"↽≂⇑⪆33323=⇑⪆-122201","layer":3},{"info":"⇑⪆-41⩨⇑⪆-122201=⇑⪆-10131","layer":2},{"info":"⇑⪆13101∠⫱⇑⪆40104=⇑⪆14414","layer":3},{"info":"⇑⪆24210⇌⫙⪟⇑⪆113411=⇑⪆423","layer":3},{"info":"⇑⪆14414∀⇚≩⇑⪆423=NaN","layer":2},{"info":"⇑⪆-10131⪄NaN=⇑⪆111404","layer":1},{"info":"⇑⪆-2203034⋹⋡⊁⇑⪆111404=⇑⪆122404","layer":0}]}
{"id":118,"expression_no_base_symbol":"(($1058$⪄$3536$)⪕($1715$⫔⩽⩺$1112$)⨁⊸⫻)⪘⨀","expression":"((⇑⪆13213⪄⇑⪆103121)⪕(⇑⪆23330⫔⩽⩺⇑⪆13422)⨁⊸⫻)⪘⨀","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":159,"operation_count":5,"complexity_ratio":31.8,"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":1058,"base":5},"right_expr":{"type":"numeric_atoms","value":3536,"base":5}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1715,"base":5},"right_expr":{"type":"numeric_atoms","value":1112,"base":5}}}}},"used_operators":["aA7tF3KVD3","glklzrTFfD","umQnsF7QlU","SUmda5xLS4","i9eR4S00cU"],"dependent_operators":["bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Tw270M8GLb","fu6greOZ01"],"result":"⇑⪆-34301","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1058","layer":4},{"info":"number node, value=3536","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=3536, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-166817","layer":3},{"info":"number node, value=1715","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=1715, right_input=1112, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-166817, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=935","layer":1},{"info":"compute unary expreesion, input=935, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-2451","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆13213⪄⇑⪆103121)⪕(⇑⪆23330⫔⩽⩺⇑⪆13422)⨁⊸⫻)⪘⨀=⇑⪆-34301","reverse_text":"⇑⪆-34301=((⇑⪆13213⪄⇑⪆103121)⪕(⇑⪆23330⫔⩽⩺⇑⪆13422)⨁⊸⫻)⪘⨀","cot":[{"info":"⇑⪆13213⪄⇑⪆103121=⇑⪆-20314232","layer":3},{"info":"⇑⪆23330⫔⩽⩺⇑⪆13422=NaN","layer":3},{"info":"⇑⪆-20314232⪕NaN=⇑⪆12220","layer":2},{"info":"⇑⪆12220⨁⊸⫻=⇑⪆12220","layer":1},{"info":"⇑⪆12220⪘⨀=⇑⪆-34301","layer":0}]}
{"id":119,"expression_no_base_symbol":"(⇉-⫰(⋃$2493$≎⪠$5699$))⩖⊿(⇠((⋎⨆$1134$)⫔⩽⩺$3726$⨽∌$3426$))","expression":"(⇉-⫰(⋃⇑⪆34433≎⪠⇑⪆140244))⩖⊿(⇠((⋎⨆⇑⪆14014)⫔⩽⩺⇑⪆104401⨽∌⇑⪆102201))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":20120,"operation_count":8,"complexity_ratio":2515.0,"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":2493,"base":5},"right_expr":{"type":"numeric_atoms","value":5699,"base":5}}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1134,"base":5}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3726,"base":5},"right_expr":{"type":"numeric_atoms","value":3426,"base":5}}}}},"used_operators":["RZ5CV9rWsJ","IGFM8TAlm9","3mBM5G4a3l","aNhz54LH3e","18saOjeKKm","i9eR4S00cU","E64sFOc4tB","9samAPKr6k"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","eH2TOUuTDT","eewbuw0ToL","g55IO6H4Gj","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","Tw270M8GLb","fu6greOZ01","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⇑⪆4300034004","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2493","layer":4},{"info":"number node, value=5699","layer":4},{"info":"compute binary expreesion, left_input=2493, right_input=5699, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=39218","layer":2},{"info":"compute unary expreesion, input=39218, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"number node, value=1134","layer":4},{"info":"compute unary expreesion, input=1134, 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=3726","layer":4},{"info":"number node, value=3426","layer":4},{"info":"compute binary expreesion, left_input=3726, right_input=3426, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=4492662","layer":2},{"info":"compute unary expreesion, input=4492662, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-4492420","layer":1},{"info":"compute binary expreesion, left_input=20, right_input=-4492420, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=8986754","layer":0}],"base":5,"result_base":5,"text":"(⇉-⫰(⋃⇑⪆34433≎⪠⇑⪆140244))⩖⊿(⇠((⋎⨆⇑⪆14014)⫔⩽⩺⇑⪆104401⨽∌⇑⪆102201))=⇑⪆4300034004","reverse_text":"⇑⪆4300034004=(⇉-⫰(⋃⇑⪆34433≎⪠⇑⪆140244))⩖⊿(⇠((⋎⨆⇑⪆14014)⫔⩽⩺⇑⪆104401⨽∌⇑⪆102201))","cot":[{"info":"⇑⪆34433≎⪠⇑⪆140244=⇑⪆1111213","layer":3},{"info":"⋃⇑⪆1111213=⇑⪆2223333","layer":2},{"info":"⇉-⫰⇑⪆2223333=⇑⪆40","layer":1},{"info":"⋎⨆⇑⪆14014=⇑⪆0","layer":3},{"info":"⇑⪆104401⨽∌⇑⪆102201=⇑⪆0","layer":3},{"info":"⇑⪆0⫔⩽⩺⇑⪆0=⇑⪆2122231122","layer":2},{"info":"⇠⇑⪆2122231122=⇑⪆-2122224140","layer":1},{"info":"⇑⪆40⩖⊿⇑⪆-2122224140=⇑⪆4300034004","layer":0}]}
{"id":120,"expression_no_base_symbol":"∤↝($6973$≌$2946$≚⊃≕($3352$≀⫉$3108$)≄⊠($5066$⊴$1024$⊍⩺⋍$1012$≝⊿$1279$))","expression":"∤↝(⇑⪆210343≌⇑⪆43241≚⊃≕(⇑⪆101402≀⫉⇑⪆44413)≄⊠(⇑⪆130231⊴⇑⪆13044⊍⩺⋍⇑⪆13022≝⊿⇑⪆20104))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4896,"operation_count":8,"complexity_ratio":612.0,"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":6973,"base":5},"right_expr":{"type":"numeric_atoms","value":2946,"base":5}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3352,"base":5},"right_expr":{"type":"numeric_atoms","value":3108,"base":5}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5066,"base":5},"right_expr":{"type":"numeric_atoms","value":1024,"base":5}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1012,"base":5},"right_expr":{"type":"numeric_atoms","value":1279,"base":5}}}}},"used_operators":["3UMq87Qwqg","vXNesLlMH1","Bmrmz2XGnR","lyWz822IDG","oZj3VtZNQx","OXDGMFPWZM","Nsiff2A1zJ","OKKcZfAt5B"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","dWAJyo7jo9","14qkJME0vr","12rbrZMWeM"],"result":"⇑⪆22000","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6973","layer":4},{"info":"number node, value=2946","layer":4},{"info":"compute binary expreesion, left_input=6973, right_input=2946, 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=3352","layer":4},{"info":"number node, value=3108","layer":4},{"info":"compute binary expreesion, left_input=3352, right_input=3108, 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 = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"number node, value=5066","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=5066, right_input=1024, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=1279, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-4103","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4103, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, 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 = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=1500","layer":0}],"base":5,"result_base":5,"text":"∤↝(⇑⪆210343≌⇑⪆43241≚⊃≕(⇑⪆101402≀⫉⇑⪆44413)≄⊠(⇑⪆130231⊴⇑⪆13044⊍⩺⋍⇑⪆13022≝⊿⇑⪆20104))=⇑⪆22000","reverse_text":"⇑⪆22000=∤↝(⇑⪆210343≌⇑⪆43241≚⊃≕(⇑⪆101402≀⫉⇑⪆44413)≄⊠(⇑⪆130231⊴⇑⪆13044⊍⩺⋍⇑⪆13022≝⊿⇑⪆20104))","cot":[{"info":"⇑⪆210343≌⇑⪆43241=NaN","layer":3},{"info":"⇑⪆101402≀⫉⇑⪆44413=⇑⪆42242","layer":3},{"info":"NaN≚⊃≕⇑⪆42242=⇑⪆232","layer":2},{"info":"⇑⪆130231⊴⇑⪆13044=NaN","layer":3},{"info":"⇑⪆13022≝⊿⇑⪆20104=⇑⪆-112403","layer":3},{"info":"NaN⊍⩺⋍⇑⪆-112403=NaN","layer":2},{"info":"⇑⪆232≄⊠NaN=⇑⪆22000","layer":1},{"info":"∤↝⇑⪆22000=⇑⪆22000","layer":0}]}
{"id":121,"expression_no_base_symbol":"((↓⇌$7540$)⨔≚≋$3315$⨿$4968$)⩒⫫$4364$⪝$6311$⊉↱≁($4851$⇌⫙⪟$3410$)+((↑$3152$)↞⋁($2308$⪕$2534$)⊪)","expression":"((↓⇌⇑⪆220130)⨔≚≋⇑⪆101230⨿⇑⪆124333)⩒⫫⇑⪆114424⪝⇑⪆200221⊉↱≁(⇑⪆123401⇌⫙⪟⇑⪆102120)+((↑⇑⪆100102)↞⋁(⇑⪆33213⪕⇑⪆40114)⊪)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":987,"operation_count":12,"complexity_ratio":82.25,"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":7540,"base":5}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3315,"base":5},"right_expr":{"type":"numeric_atoms","value":4968,"base":5}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4364,"base":5},"right_expr":{"type":"numeric_atoms","value":6311,"base":5}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":4851,"base":5},"right_expr":{"type":"numeric_atoms","value":3410,"base":5}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":3152,"base":5}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2308,"base":5},"right_expr":{"type":"numeric_atoms","value":2534,"base":5}}}}},"used_operators":["W4YGzv6Whe","KFSx94NKJn","Z57zeUYC9z","PxpmPgHHJV","abYXlopdE0","w2P8NbNXyL","wicAB68Tmb","AFVx7xoS7T","zVYPLywUTj","RqrPlJkxDo","tR7O2zTn5j","umQnsF7QlU"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7540","layer":4},{"info":"compute unary expreesion, input=7540, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=7540","layer":3},{"info":"number node, value=3315","layer":4},{"info":"number node, value=4968","layer":4},{"info":"compute binary expreesion, left_input=3315, right_input=4968, 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=7540, right_input=-319, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"number node, value=4364","layer":4},{"info":"number node, value=6311","layer":4},{"info":"compute binary expreesion, left_input=4364, right_input=6311, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=4851","layer":4},{"info":"number node, value=3410","layer":4},{"info":"compute binary expreesion, left_input=4851, right_input=3410, 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=237, right_input=113, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=1640","layer":2},{"info":"compute binary expreesion, left_input=9872, right_input=1640, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=9570","layer":1},{"info":"number node, value=3152","layer":4},{"info":"compute unary expreesion, input=3152, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=2308","layer":4},{"info":"number node, value=2534","layer":4},{"info":"compute binary expreesion, left_input=2308, right_input=2534, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2983","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=2983, 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 = 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":1},{"info":"compute binary expreesion, left_input=9570, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":5,"result_base":5,"text":"((↓⇌⇑⪆220130)⨔≚≋⇑⪆101230⨿⇑⪆124333)⩒⫫⇑⪆114424⪝⇑⪆200221⊉↱≁(⇑⪆123401⇌⫙⪟⇑⪆102120)+((↑⇑⪆100102)↞⋁(⇑⪆33213⪕⇑⪆40114)⊪)=NaN","reverse_text":"NaN=((↓⇌⇑⪆220130)⨔≚≋⇑⪆101230⨿⇑⪆124333)⩒⫫⇑⪆114424⪝⇑⪆200221⊉↱≁(⇑⪆123401⇌⫙⪟⇑⪆102120)+((↑⇑⪆100102)↞⋁(⇑⪆33213⪕⇑⪆40114)⊪)","cot":[{"info":"↓⇌⇑⪆220130=⇑⪆220130","layer":3},{"info":"⇑⪆101230⨿⇑⪆124333=⇑⪆-2234","layer":3},{"info":"⇑⪆220130⨔≚≋⇑⪆-2234=⇑⪆303442","layer":2},{"info":"⇑⪆114424⪝⇑⪆200221=⇑⪆1422","layer":3},{"info":"⇑⪆123401⇌⫙⪟⇑⪆102120=⇑⪆423","layer":3},{"info":"⇑⪆1422⊉↱≁⇑⪆423=⇑⪆23030","layer":2},{"info":"⇑⪆303442⩒⫫⇑⪆23030=⇑⪆301240","layer":1},{"info":"↑⇑⪆100102=⇑⪆1232","layer":3},{"info":"⇑⪆33213⪕⇑⪆40114=⇑⪆43413","layer":3},{"info":"⇑⪆1232↞⋁⇑⪆43413=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"⇑⪆301240+NaN=NaN","layer":0}]}
{"id":122,"expression_no_base_symbol":"((($1618$⫠)⨰($1112$∽$1522$))⇽⩪)≳⇉(($2021$∌$4063$∸)⩹(($1140$⨉)+($3380$⪨≂$8427$)))","expression":"(((⇑⪆22433⫠)⨰(⇑⪆13422∽⇑⪆22042))⇽⩪)≳⇉((⇑⪆31041∌⇑⪆112223∸)⩹((⇑⪆14030⨉)+(⇑⪆102010⪨≂⇑⪆232202)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":560537480,"operation_count":11,"complexity_ratio":50957952.72727273,"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":1618,"base":5}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1112,"base":5},"right_expr":{"type":"numeric_atoms","value":1522,"base":5}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2021,"base":5},"right_expr":{"type":"numeric_atoms","value":4063,"base":5}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":1140,"base":5}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3380,"base":5},"right_expr":{"type":"numeric_atoms","value":8427,"base":5}}}}},"used_operators":["V0kx6qeWkN","FonBHBYJbU","eewbuw0ToL","6SnOT2rOjz","y4ImoPnbV5","2Wsdkap16l","o20kRiQErp","8cLx32lpNA","W4YGzv6Whe","aMUSaJuDRU","sdazOOVcIp"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","NTOWxs364D","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","tmPS8pqC7x","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1618","layer":4},{"info":"compute unary expreesion, input=1618, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=1112","layer":4},{"info":"number node, value=1522","layer":4},{"info":"compute binary expreesion, left_input=1112, right_input=1522, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-9948","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-9948, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=9958","layer":2},{"info":"compute unary expreesion, input=9958, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=20438","layer":1},{"info":"number node, value=2021","layer":4},{"info":"number node, value=4063","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=4063, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-4063","layer":3},{"info":"compute unary expreesion, input=-4063, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=1140","layer":4},{"info":"compute unary expreesion, input=1140, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=4608","layer":3},{"info":"number node, value=3380","layer":4},{"info":"number node, value=8427","layer":4},{"info":"compute binary expreesion, left_input=3380, right_input=8427, 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=-9992","layer":3},{"info":"compute binary expreesion, left_input=4608, right_input=-9992, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-5384","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=-5384, 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=-5386","layer":1},{"info":"compute binary expreesion, left_input=20438, right_input=-5386, 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":5,"result_base":5,"text":"(((⇑⪆22433⫠)⨰(⇑⪆13422∽⇑⪆22042))⇽⩪)≳⇉((⇑⪆31041∌⇑⪆112223∸)⩹((⇑⪆14030⨉)+(⇑⪆102010⪨≂⇑⪆232202)))=NaN","reverse_text":"NaN=(((⇑⪆22433⫠)⨰(⇑⪆13422∽⇑⪆22042))⇽⩪)≳⇉((⇑⪆31041∌⇑⪆112223∸)⩹((⇑⪆14030⨉)+(⇑⪆102010⪨≂⇑⪆232202)))","cot":[{"info":"⇑⪆22433⫠=⇑⪆0","layer":3},{"info":"⇑⪆13422∽⇑⪆22042=⇑⪆-304243","layer":3},{"info":"⇑⪆0⨰⇑⪆-304243=⇑⪆304313","layer":2},{"info":"⇑⪆304313⇽⩪=⇑⪆1123223","layer":1},{"info":"⇑⪆31041∌⇑⪆112223=⇑⪆-112223","layer":3},{"info":"⇑⪆-112223∸=⇑⪆1202","layer":2},{"info":"⇑⪆14030⨉=⇑⪆121413","layer":3},{"info":"⇑⪆102010⪨≂⇑⪆232202=⇑⪆-304432","layer":3},{"info":"⇑⪆121413+⇑⪆-304432=⇑⪆-133014","layer":2},{"info":"⇑⪆1202⩹⇑⪆-133014=⇑⪆-133021","layer":1},{"info":"⇑⪆1123223≳⇉⇑⪆-133021=NaN","layer":0}]}
{"id":123,"expression_no_base_symbol":"($5046$∇⊂⋱$3227$⫉⨲⊜($1103$⊍⩺⋍$3351$)⇣⩺⋵($2325$∝$1535$⇼⇔∾($5488$⊊)))≹⇙⪍(⋣($1908$≄⊠$1003$))≴⪞⇿(($6124$⩚⊴⇥$6095$)⪔⊥($2122$∷))","expression":"(⇑⪆130141∇⊂⋱⇑⪆100402⫉⨲⊜(⇑⪆13403⊍⩺⋍⇑⪆101401)⇣⩺⋵(⇑⪆33300∝⇑⪆22120⇼⇔∾(⇑⪆133423⊊)))≹⇙⪍(⋣(⇑⪆30113≄⊠⇑⪆13003))≴⪞⇿((⇑⪆143444⩚⊴⇥⇑⪆143340)⪔⊥(⇑⪆31442∷))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":837,"operation_count":14,"complexity_ratio":59.785714285714285,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":5046,"base":5},"right_expr":{"type":"numeric_atoms","value":3227,"base":5}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1103,"base":5},"right_expr":{"type":"numeric_atoms","value":3351,"base":5}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2325,"base":5},"right_expr":{"type":"numeric_atoms","value":1535,"base":5}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":5488,"base":5}}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1908,"base":5},"right_expr":{"type":"numeric_atoms","value":1003,"base":5}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6124,"base":5},"right_expr":{"type":"numeric_atoms","value":6095,"base":5}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":2122,"base":5}}}}},"used_operators":["AHs5Up7iyr","F4yD0voBRQ","WhqkvtTD3t","nhYeJWJD5X","OXDGMFPWZM","tifHPKVTfV","cTDWOvIxvz","W9R8I5fN5A","lvlrscuwVU","zQWRhDnn8F","vXNesLlMH1","HJ9erzHUuu","NTOWxs364D","nFAOW8KTqp"],"dependent_operators":["dWAJyo7jo9","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eewbuw0ToL","zVYPLywUTj","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5046","layer":4},{"info":"number node, value=3227","layer":4},{"info":"compute binary expreesion, left_input=5046, right_input=3227, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=9546","layer":3},{"info":"number node, value=1103","layer":4},{"info":"number node, value=3351","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=3351, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9546, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"number node, value=2325","layer":4},{"info":"number node, value=1535","layer":4},{"info":"compute binary expreesion, left_input=2325, right_input=1535, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2330","layer":3},{"info":"number node, value=5488","layer":4},{"info":"compute unary expreesion, input=5488, 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=2330, right_input=90927, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=88597","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=88597, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-177132","layer":1},{"info":"number node, value=1908","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=1908, right_input=1003, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=20716","layer":3},{"info":"compute unary expreesion, input=20716, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-6090409","layer":2},{"info":"number node, value=6124","layer":4},{"info":"number node, value=6095","layer":4},{"info":"compute binary expreesion, left_input=6124, right_input=6095, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12340","layer":3},{"info":"number node, value=2122","layer":4},{"info":"compute unary expreesion, input=2122, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=6366","layer":3},{"info":"compute binary expreesion, left_input=-12340, right_input=6366, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-62291","layer":2},{"info":"compute binary expreesion, left_input=-6090409, right_input=-62291, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-73836603","layer":1},{"info":"compute binary expreesion, left_input=-177132, right_input=-73836603, 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":5,"result_base":5,"text":"(⇑⪆130141∇⊂⋱⇑⪆100402⫉⨲⊜(⇑⪆13403⊍⩺⋍⇑⪆101401)⇣⩺⋵(⇑⪆33300∝⇑⪆22120⇼⇔∾(⇑⪆133423⊊)))≹⇙⪍(⋣(⇑⪆30113≄⊠⇑⪆13003))≴⪞⇿((⇑⪆143444⩚⊴⇥⇑⪆143340)⪔⊥(⇑⪆31442∷))=NaN","reverse_text":"NaN=(⇑⪆130141∇⊂⋱⇑⪆100402⫉⨲⊜(⇑⪆13403⊍⩺⋍⇑⪆101401)⇣⩺⋵(⇑⪆33300∝⇑⪆22120⇼⇔∾(⇑⪆133423⊊)))≹⇙⪍(⋣(⇑⪆30113≄⊠⇑⪆13003))≴⪞⇿((⇑⪆143444⩚⊴⇥⇑⪆143340)⪔⊥(⇑⪆31442∷))","cot":[{"info":"⇑⪆130141∇⊂⋱⇑⪆100402=⇑⪆301141","layer":3},{"info":"⇑⪆13403⊍⩺⋍⇑⪆101401=NaN","layer":3},{"info":"⇑⪆301141⫉⨲⊜NaN=⇑⪆0","layer":2},{"info":"⇑⪆33300∝⇑⪆22120=⇑⪆33310","layer":3},{"info":"⇑⪆133423⊊=⇑⪆10402202","layer":3},{"info":"⇑⪆33310⇼⇔∾⇑⪆10402202=⇑⪆10313342","layer":2},{"info":"⇑⪆0⇣⩺⋵⇑⪆10313342=⇑⪆-21132012","layer":1},{"info":"⇑⪆30113≄⊠⇑⪆13003=⇑⪆1130331","layer":3},{"info":"⋣⇑⪆1130331=⇑⪆-3024343114","layer":2},{"info":"⇑⪆143444⩚⊴⇥⇑⪆143340=⇑⪆-343330","layer":3},{"info":"⇑⪆31442∷=⇑⪆200431","layer":3},{"info":"⇑⪆-343330⪔⊥⇑⪆200431=⇑⪆-3443131","layer":2},{"info":"⇑⪆-3024343114≴⪞⇿⇑⪆-3443131=⇑⪆-122400232403","layer":1},{"info":"⇑⪆-21132012≹⇙⪍⇑⪆-122400232403=NaN","layer":0}]}
{"id":124,"expression_no_base_symbol":"($1543$⩚⊴⇥$2700$)↼⊘⨖$1175$⨼⩣$1277$⪒(($5061$-$8105$)⊧↖)⋷($3070$≭$7190$⋅⇍$2645$⨔⇊$2822$)⪢(≑⋹(⫛⫱⨽$4139$))","expression":"(⇑⪆22133⩚⊴⇥⇑⪆41300)↼⊘⨖⇑⪆14200⨼⩣⇑⪆20102⪒((⇑⪆130221-⇑⪆224410)⊧↖)⋷(⇑⪆44240≭⇑⪆212230⋅⇍⇑⪆41040⨔⇊⇑⪆42242)⪢(≑⋹(⫛⫱⨽⇑⪆113024))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5905,"operation_count":13,"complexity_ratio":454.2307692307692,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1543,"base":5},"right_expr":{"type":"numeric_atoms","value":2700,"base":5}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1175,"base":5},"right_expr":{"type":"numeric_atoms","value":1277,"base":5}}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5061,"base":5},"right_expr":{"type":"numeric_atoms","value":8105,"base":5}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3070,"base":5},"right_expr":{"type":"numeric_atoms","value":7190,"base":5}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2645,"base":5},"right_expr":{"type":"numeric_atoms","value":2822,"base":5}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4139,"base":5}}}}},"used_operators":["23Mk6UjR3U","f6k1SAg4EE","bPywburJMS","NTOWxs364D","JxwMv5le6e","EKiFHuOFxO","rysDP5nf3Z","dWAJyo7jo9","AdZkA7nFnk","rxpJgHHUmx","JclMnS0uGI","6B9nyZLogK","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","k8jYdgA6NY","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","AHs5Up7iyr","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1543","layer":4},{"info":"number node, value=2700","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=2700, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4364","layer":3},{"info":"number node, value=1175","layer":4},{"info":"number node, value=1277","layer":4},{"info":"compute binary expreesion, left_input=1175, right_input=1277, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4364, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":2},{"info":"number node, value=5061","layer":4},{"info":"number node, value=8105","layer":4},{"info":"compute binary expreesion, left_input=5061, right_input=8105, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3044","layer":3},{"info":"compute unary expreesion, input=-3044, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=55574480","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=55574480, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=3070","layer":4},{"info":"number node, value=7190","layer":4},{"info":"compute binary expreesion, left_input=3070, right_input=7190, 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=2645","layer":4},{"info":"number node, value=2822","layer":4},{"info":"compute binary expreesion, left_input=2645, right_input=2822, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=4139","layer":4},{"info":"compute unary expreesion, input=4139, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-694","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=-694, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆22133⩚⊴⇥⇑⪆41300)↼⊘⨖⇑⪆14200⨼⩣⇑⪆20102⪒((⇑⪆130221-⇑⪆224410)⊧↖)⋷(⇑⪆44240≭⇑⪆212230⋅⇍⇑⪆41040⨔⇊⇑⪆42242)⪢(≑⋹(⫛⫱⨽⇑⪆113024))=NaN","reverse_text":"NaN=(⇑⪆22133⩚⊴⇥⇑⪆41300)↼⊘⨖⇑⪆14200⨼⩣⇑⪆20102⪒((⇑⪆130221-⇑⪆224410)⊧↖)⋷(⇑⪆44240≭⇑⪆212230⋅⇍⇑⪆41040⨔⇊⇑⪆42242)⪢(≑⋹(⫛⫱⨽⇑⪆113024))","cot":[{"info":"⇑⪆22133⩚⊴⇥⇑⪆41300=⇑⪆-114424","layer":3},{"info":"⇑⪆14200⨼⩣⇑⪆20102=NaN","layer":3},{"info":"⇑⪆-114424↼⊘⨖NaN=NaN","layer":2},{"info":"⇑⪆130221-⇑⪆224410=⇑⪆-44134","layer":3},{"info":"⇑⪆-44134⊧↖=⇑⪆103211340410","layer":2},{"info":"NaN⪒⇑⪆103211340410=NaN","layer":1},{"info":"⇑⪆44240≭⇑⪆212230=NaN","layer":3},{"info":"⇑⪆41040⨔⇊⇑⪆42242=⇑⪆42242","layer":3},{"info":"NaN⋅⇍⇑⪆42242=⇑⪆-42","layer":2},{"info":"⫛⫱⨽⇑⪆113024=⇑⪆0","layer":3},{"info":"≑⋹⇑⪆0=⇑⪆-10234","layer":2},{"info":"⇑⪆-42⪢⇑⪆-10234=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":125,"expression_no_base_symbol":"(($2546$⩌⋺$2574$⇷$1096$⩼⇪↪$4332$)⨘)⋆⋳","expression":"((⇑⪆40141⩌⋺⇑⪆40244⇷⇑⪆13341⩼⇪↪⇑⪆114312)⨘)⋆⋳","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":73426,"operation_count":5,"complexity_ratio":14685.2,"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":2546,"base":5},"right_expr":{"type":"numeric_atoms","value":2574,"base":5}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1096,"base":5},"right_expr":{"type":"numeric_atoms","value":4332,"base":5}}}}},"used_operators":["6MpZysEj17","ljcfZBUpm8","mp7IySMOzn","g7Hmc5v1ko","ocnLzx9CaJ"],"dependent_operators":["9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2546","layer":4},{"info":"number node, value=2574","layer":4},{"info":"compute binary expreesion, left_input=2546, right_input=2574, 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=-5241","layer":3},{"info":"number node, value=1096","layer":4},{"info":"number node, value=4332","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=4332, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-28915","layer":3},{"info":"compute binary expreesion, left_input=-5241, right_input=-28915, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆40141⩌⋺⇑⪆40244⇷⇑⪆13341⩼⇪↪⇑⪆114312)⨘)⋆⋳=NaN","reverse_text":"NaN=((⇑⪆40141⩌⋺⇑⪆40244⇷⇑⪆13341⩼⇪↪⇑⪆114312)⨘)⋆⋳","cot":[{"info":"⇑⪆40141⩌⋺⇑⪆40244=⇑⪆-131431","layer":3},{"info":"⇑⪆13341⩼⇪↪⇑⪆114312=⇑⪆-1411130","layer":3},{"info":"⇑⪆-131431⇷⇑⪆-1411130=NaN","layer":2},{"info":"NaN⨘=NaN","layer":1},{"info":"NaN⋆⋳=NaN","layer":0}]}
{"id":126,"expression_no_base_symbol":"($3353$∳⫺$5408$⪔$1007$⊋$1605$↺($1139$⫳≱↱$2173$⫃⨇($6720$⇟⨁⪰)))⨔⇊(≸($5319$∛$1393$⨽⪊≇))","expression":"(⇑⪆101403∳⫺⇑⪆133113⪔⇑⪆13012⊋⇑⪆22410↺(⇑⪆14024⫳≱↱⇑⪆32143⫃⨇(⇑⪆203340⇟⨁⪰)))⨔⇊(≸(⇑⪆132234∛⇑⪆21033⨽⪊≇))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2236,"operation_count":11,"complexity_ratio":203.27272727272728,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3353,"base":5},"right_expr":{"type":"numeric_atoms","value":5408,"base":5}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1007,"base":5},"right_expr":{"type":"numeric_atoms","value":1605,"base":5}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1139,"base":5},"right_expr":{"type":"numeric_atoms","value":2173,"base":5}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":6720,"base":5}}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":5319,"base":5},"right_expr":{"type":"numeric_atoms","value":1393,"base":5}}}}},"used_operators":["JclMnS0uGI","7j4O788W3g","GjBEYRfMaF","AzXXKTstlj","W4tP9CfskL","09Ly4LVMIf","ZvLB05nZmT","BX1lVwlMe0","eOf03JbCpp","nlCqmYiOvY","w2537kitQq"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","2DDjHMKMc0","xUOZtlo3hN","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⇑⪆12333","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3353","layer":4},{"info":"number node, value=5408","layer":4},{"info":"compute binary expreesion, left_input=3353, right_input=5408, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=1605, 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=-6817564","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-6817564, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=1139","layer":4},{"info":"number node, value=2173","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=2173, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=6720","layer":4},{"info":"compute unary expreesion, input=6720, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-6894","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=-6894, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=27544","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=27544, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=27544","layer":1},{"info":"number node, value=5319","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=5319, right_input=1393, 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 unary expreesion, input=67, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=-392","layer":2},{"info":"compute unary expreesion, input=-392, 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=27544, right_input=968, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=968","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆101403∳⫺⇑⪆133113⪔⇑⪆13012⊋⇑⪆22410↺(⇑⪆14024⫳≱↱⇑⪆32143⫃⨇(⇑⪆203340⇟⨁⪰)))⨔⇊(≸(⇑⪆132234∛⇑⪆21033⨽⪊≇))=⇑⪆12333","reverse_text":"⇑⪆12333=(⇑⪆101403∳⫺⇑⪆133113⪔⇑⪆13012⊋⇑⪆22410↺(⇑⪆14024⫳≱↱⇑⪆32143⫃⨇(⇑⪆203340⇟⨁⪰)))⨔⇊(≸(⇑⪆132234∛⇑⪆21033⨽⪊≇))","cot":[{"info":"⇑⪆101403∳⫺⇑⪆133113=⇑⪆-2020","layer":3},{"info":"⇑⪆13012⊋⇑⪆22410=⇑⪆-3221130224","layer":3},{"info":"⇑⪆-2020⪔⇑⪆-3221130224=⇑⪆3300","layer":2},{"info":"⇑⪆14024⫳≱↱⇑⪆32143=⇑⪆-1304","layer":3},{"info":"⇑⪆203340⇟⨁⪰=⇑⪆-210034","layer":3},{"info":"⇑⪆-1304⫃⨇⇑⪆-210034=⇑⪆1340134","layer":2},{"info":"⇑⪆3300↺⇑⪆1340134=⇑⪆1340134","layer":1},{"info":"⇑⪆132234∛⇑⪆21033=⇑⪆232","layer":3},{"info":"⇑⪆232⨽⪊≇=⇑⪆-3032","layer":2},{"info":"≸⇑⪆-3032=⇑⪆12333","layer":1},{"info":"⇑⪆1340134⨔⇊⇑⪆12333=⇑⪆12333","layer":0}]}
{"id":127,"expression_no_base_symbol":"(⫇(≘($2677$≎⪠$4996$)))⪎↠(($1203$+⇶⊼$4089$⪄$5011$∋$2837$)⊔(($2159$⋻⩜⩜$4584$)⨀⨒))","expression":"(⫇(≘(⇑⪆41202≎⪠⇑⪆124441)))⪎↠((⇑⪆14303+⇶⊼⇑⪆112324⪄⇑⪆130021∋⇑⪆42322)⊔((⇑⪆32114⋻⩜⩜⇑⪆121314)⨀⨒))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":83708,"operation_count":10,"complexity_ratio":8370.8,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2677,"base":5},"right_expr":{"type":"numeric_atoms","value":4996,"base":5}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1203,"base":5},"right_expr":{"type":"numeric_atoms","value":4089,"base":5}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":5011,"base":5},"right_expr":{"type":"numeric_atoms","value":2837,"base":5}}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2159,"base":5},"right_expr":{"type":"numeric_atoms","value":4584,"base":5}}}}},"used_operators":["3tVxb0NHM4","YjI8oCXuph","tcjXMdvYtA","aNhz54LH3e","E4l6HwMY31","SUmda5xLS4","TpPTUOHfaN","ukq6epAj5P","j6NVkjMzuk","oDCm7WA9JY"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⇑⪆-210","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2677","layer":4},{"info":"number node, value=4996","layer":4},{"info":"compute binary expreesion, left_input=2677, right_input=4996, 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 = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=43126174","layer":2},{"info":"compute unary expreesion, input=43126174, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-86251134","layer":1},{"info":"number node, value=1203","layer":4},{"info":"number node, value=4089","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=4089, 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=5011","layer":4},{"info":"number node, value=2837","layer":4},{"info":"compute binary expreesion, left_input=5011, right_input=2837, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=6085164","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6085164, 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=2159","layer":4},{"info":"number node, value=4584","layer":4},{"info":"compute binary expreesion, left_input=2159, right_input=4584, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4318","layer":3},{"info":"compute unary expreesion, input=4318, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=57184","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=57184, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=291478","layer":1},{"info":"compute binary expreesion, left_input=-86251134, right_input=291478, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":0}],"base":5,"result_base":5,"text":"(⫇(≘(⇑⪆41202≎⪠⇑⪆124441)))⪎↠((⇑⪆14303+⇶⊼⇑⪆112324⪄⇑⪆130021∋⇑⪆42322)⊔((⇑⪆32114⋻⩜⩜⇑⪆121314)⨀⨒))=⇑⪆-210","reverse_text":"⇑⪆-210=(⫇(≘(⇑⪆41202≎⪠⇑⪆124441)))⪎↠((⇑⪆14303+⇶⊼⇑⪆112324⪄⇑⪆130021∋⇑⪆42322)⊔((⇑⪆32114⋻⩜⩜⇑⪆121314)⨀⨒))","cot":[{"info":"⇑⪆41202≎⪠⇑⪆124441=⇑⪆1111213","layer":3},{"info":"≘⇑⪆1111213=⇑⪆42020014144","layer":2},{"info":"⫇⇑⪆42020014144=⇑⪆-134040014014","layer":1},{"info":"⇑⪆14303+⇶⊼⇑⪆112324=NaN","layer":3},{"info":"⇑⪆130021∋⇑⪆42322=⇑⪆3024211124","layer":3},{"info":"NaN⪄⇑⪆3024211124=⇑⪆111404","layer":2},{"info":"⇑⪆32114⋻⩜⩜⇑⪆121314=⇑⪆114233","layer":3},{"info":"⇑⪆114233⨀⨒=⇑⪆3312214","layer":2},{"info":"⇑⪆111404⊔⇑⪆3312214=⇑⪆33311403","layer":1},{"info":"⇑⪆-134040014014⪎↠⇑⪆33311403=⇑⪆-210","layer":0}]}
{"id":128,"expression_no_base_symbol":"(($3588$⪚$1455$∠⫱($1155$⪬∳))∋($3088$⪒⊣⊆$1670$⊭↱$1158$⨚⇆$1518$))⩖⊿(↪⫪⫘($2928$↞⋁$5734$≃(⪭⩑⪱$2886$)))","expression":"((⇑⪆103323⪚⇑⪆21310∠⫱(⇑⪆14110⪬∳))∋(⇑⪆44323⪒⊣⊆⇑⪆23140⊭↱⇑⪆14113⨚⇆⇑⪆22033))⩖⊿(↪⫪⫘(⇑⪆43203↞⋁⇑⪆140414≃(⪭⩑⪱⇑⪆43021)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":985140,"operation_count":12,"complexity_ratio":82095.0,"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":3588,"base":5},"right_expr":{"type":"numeric_atoms","value":1455,"base":5}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":1155,"base":5}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3088,"base":5},"right_expr":{"type":"numeric_atoms","value":1670,"base":5}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1158,"base":5},"right_expr":{"type":"numeric_atoms","value":1518,"base":5}}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2928,"base":5},"right_expr":{"type":"numeric_atoms","value":5734,"base":5}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":2886,"base":5}}}}},"used_operators":["RZ5CV9rWsJ","ukq6epAj5P","QvoQhV0rrE","HrjLwUk87U","O9U3z1385E","COABgblf1C","eRqsBgTDFp","lwHaAYXP2r","9dWsAM3GFt","YbVcJGFEVW","RqrPlJkxDo","SIgE0bArFf"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3588","layer":4},{"info":"number node, value=1455","layer":4},{"info":"compute binary expreesion, left_input=3588, right_input=1455, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=3910","layer":3},{"info":"number node, value=1155","layer":4},{"info":"compute unary expreesion, input=1155, 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=3910, right_input=-709, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=4619","layer":2},{"info":"number node, value=3088","layer":4},{"info":"number node, value=1670","layer":4},{"info":"compute binary expreesion, left_input=3088, right_input=1670, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6176","layer":3},{"info":"number node, value=1158","layer":4},{"info":"number node, value=1518","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=1518, 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=6176, 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=4619, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-73100","layer":1},{"info":"number node, value=2928","layer":4},{"info":"number node, value=5734","layer":4},{"info":"compute binary expreesion, left_input=2928, right_input=5734, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=2886","layer":4},{"info":"compute unary expreesion, input=2886, 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 = 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 = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-73100, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆103323⪚⇑⪆21310∠⫱(⇑⪆14110⪬∳))∋(⇑⪆44323⪒⊣⊆⇑⪆23140⊭↱⇑⪆14113⨚⇆⇑⪆22033))⩖⊿(↪⫪⫘(⇑⪆43203↞⋁⇑⪆140414≃(⪭⩑⪱⇑⪆43021)))=NaN","reverse_text":"NaN=((⇑⪆103323⪚⇑⪆21310∠⫱(⇑⪆14110⪬∳))∋(⇑⪆44323⪒⊣⊆⇑⪆23140⊭↱⇑⪆14113⨚⇆⇑⪆22033))⩖⊿(↪⫪⫘(⇑⪆43203↞⋁⇑⪆140414≃(⪭⩑⪱⇑⪆43021)))","cot":[{"info":"⇑⪆103323⪚⇑⪆21310=⇑⪆111120","layer":3},{"info":"⇑⪆14110⪬∳=⇑⪆-10314","layer":3},{"info":"⇑⪆111120∠⫱⇑⪆-10314=⇑⪆121434","layer":2},{"info":"⇑⪆44323⪒⊣⊆⇑⪆23140=⇑⪆144201","layer":3},{"info":"⇑⪆14113⨚⇆⇑⪆22033=NaN","layer":3},{"info":"⇑⪆144201⊭↱NaN=NaN","layer":2},{"info":"⇑⪆121434∋NaN=⇑⪆-4314400","layer":1},{"info":"⇑⪆43203↞⋁⇑⪆140414=NaN","layer":3},{"info":"⪭⩑⪱⇑⪆43021=⇑⪆4112231002","layer":3},{"info":"NaN≃⇑⪆4112231002=NaN","layer":2},{"info":"↪⫪⫘NaN=NaN","layer":1},{"info":"⇑⪆-4314400⩖⊿NaN=NaN","layer":0}]}
{"id":129,"expression_no_base_symbol":"((⫡⇟⇯(↥≼⋛$1639$))⪥(≻⋜$1684$)⋥⋵⩄($2228$⊱⇼⊻$5713$))⊕∕((⊆⋠($3435$⋓$2977$))≝⊿($1504$⪶≀⋏$3032$⩺⪪$1299$≭$1044$))","expression":"((⫡⇟⇯(↥≼⋛⇑⪆23024))⪥(≻⋜⇑⪆23214)⋥⋵⩄(⇑⪆32403⊱⇼⊻⇑⪆140323))⊕∕((⊆⋠(⇑⪆102220⋓⇑⪆43402))≝⊿(⇑⪆22004⪶≀⋏⇑⪆44112⩺⪪⇑⪆20144≭⇑⪆13134))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":8628,"operation_count":13,"complexity_ratio":663.6923076923077,"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":1639,"base":5}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1684,"base":5}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2228,"base":5},"right_expr":{"type":"numeric_atoms","value":5713,"base":5}}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3435,"base":5},"right_expr":{"type":"numeric_atoms","value":2977,"base":5}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1504,"base":5},"right_expr":{"type":"numeric_atoms","value":3032,"base":5}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1299,"base":5},"right_expr":{"type":"numeric_atoms","value":1044,"base":5}}}}},"used_operators":["9cloC0Ngie","QbnwKVWMIQ","qWUSsah53b","x5lMkHmzsq","7t3wd0Fuz7","3tj9sqzovi","FyVja0WsTP","OKKcZfAt5B","EBhcHTkKd8","T2fj7uvVaJ","uvdQJvN4PV","zR4jO40bMj","rxpJgHHUmx"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","DZ8iAZOCBD","P8v4zCKN1o","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","12rbrZMWeM","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","AHs5Up7iyr"],"result":"⇑⪆233301","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1639","layer":4},{"info":"compute unary expreesion, input=1639, 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":"number node, value=1684","layer":4},{"info":"compute unary expreesion, input=1684, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=2228","layer":4},{"info":"number node, value=5713","layer":4},{"info":"compute binary expreesion, left_input=2228, right_input=5713, 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=nan, right_input=434, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=981, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=8576","layer":1},{"info":"number node, value=3435","layer":4},{"info":"number node, value=2977","layer":4},{"info":"compute binary expreesion, left_input=3435, right_input=2977, 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 = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=348","layer":2},{"info":"number node, value=1504","layer":4},{"info":"number node, value=3032","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=3032, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-10808","layer":3},{"info":"number node, value=1299","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=1299, right_input=1044, 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=-10808, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=348, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=8576, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=8576","layer":0}],"base":5,"result_base":5,"text":"((⫡⇟⇯(↥≼⋛⇑⪆23024))⪥(≻⋜⇑⪆23214)⋥⋵⩄(⇑⪆32403⊱⇼⊻⇑⪆140323))⊕∕((⊆⋠(⇑⪆102220⋓⇑⪆43402))≝⊿(⇑⪆22004⪶≀⋏⇑⪆44112⩺⪪⇑⪆20144≭⇑⪆13134))=⇑⪆233301","reverse_text":"⇑⪆233301=((⫡⇟⇯(↥≼⋛⇑⪆23024))⪥(≻⋜⇑⪆23214)⋥⋵⩄(⇑⪆32403⊱⇼⊻⇑⪆140323))⊕∕((⊆⋠(⇑⪆102220⋓⇑⪆43402))≝⊿(⇑⪆22004⪶≀⋏⇑⪆44112⩺⪪⇑⪆20144≭⇑⪆13134))","cot":[{"info":"↥≼⋛⇑⪆23024=⇑⪆-423","layer":3},{"info":"⫡⇟⇯⇑⪆-423=⇑⪆12411","layer":2},{"info":"≻⋜⇑⪆23214=NaN","layer":3},{"info":"⇑⪆32403⊱⇼⊻⇑⪆140323=⇑⪆3214","layer":3},{"info":"NaN⋥⋵⩄⇑⪆3214=NaN","layer":2},{"info":"⇑⪆12411⪥NaN=⇑⪆233301","layer":1},{"info":"⇑⪆102220⋓⇑⪆43402=⇑⪆0","layer":3},{"info":"⊆⋠⇑⪆0=⇑⪆2343","layer":2},{"info":"⇑⪆22004⪶≀⋏⇑⪆44112=⇑⪆-321213","layer":3},{"info":"⇑⪆20144≭⇑⪆13134=NaN","layer":3},{"info":"⇑⪆-321213⩺⪪NaN=NaN","layer":2},{"info":"⇑⪆2343≝⊿NaN=NaN","layer":1},{"info":"⇑⪆233301⊕∕NaN=⇑⪆233301","layer":0}]}
{"id":130,"expression_no_base_symbol":"(⊲⪭(⇉-⫰($3228$⪡$3352$)))/($1082$⩒⫫$3106$⊹≧⊝)⇡⇂(⊖∈$1464$⪛$3050$)","expression":"(⊲⪭(⇉-⫰(⇑⪆100403⪡⇑⪆101402)))/(⇑⪆13312⩒⫫⇑⪆44411⊹≧⊝)⇡⇂(⊖∈⇑⪆21324⪛⇑⪆44200)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":121859,"operation_count":9,"complexity_ratio":13539.888888888889,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3228,"base":5},"right_expr":{"type":"numeric_atoms","value":3352,"base":5}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1082,"base":5},"right_expr":{"type":"numeric_atoms","value":3106,"base":5}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1464,"base":5},"right_expr":{"type":"numeric_atoms","value":3050,"base":5}}}}},"used_operators":["XhwjNDsVaA","k7HXdKtiEU","IGFM8TAlm9","oraRL2iQuh","UMwdvZNt44","LxFB4K6j0n","KFSx94NKJn","YFxL8Sc2Zy","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","i8ToyICDmI","xUOZtlo3hN","eH2TOUuTDT","eewbuw0ToL","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3228","layer":4},{"info":"number node, value=3352","layer":4},{"info":"compute binary expreesion, left_input=3228, right_input=3352, 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 = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-194","layer":1},{"info":"number node, value=1082","layer":4},{"info":"number node, value=3106","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=3106, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=780","layer":3},{"info":"compute unary expreesion, input=780, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-3120","layer":2},{"info":"number node, value=1464","layer":4},{"info":"number node, value=3050","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=3050, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1464","layer":3},{"info":"compute unary expreesion, input=1464, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=23686","layer":2},{"info":"compute binary expreesion, left_input=-3120, right_input=23686, 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=-194, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⊲⪭(⇉-⫰(⇑⪆100403⪡⇑⪆101402)))/(⇑⪆13312⩒⫫⇑⪆44411⊹≧⊝)⇡⇂(⊖∈⇑⪆21324⪛⇑⪆44200)=NaN","reverse_text":"NaN=(⊲⪭(⇉-⫰(⇑⪆100403⪡⇑⪆101402)))/(⇑⪆13312⩒⫫⇑⪆44411⊹≧⊝)⇡⇂(⊖∈⇑⪆21324⪛⇑⪆44200)","cot":[{"info":"⇑⪆100403⪡⇑⪆101402=⇑⪆412","layer":3},{"info":"⇉-⫰⇑⪆412=⇑⪆40","layer":2},{"info":"⊲⪭⇑⪆40=⇑⪆-1234","layer":1},{"info":"⇑⪆13312⩒⫫⇑⪆44411=⇑⪆11110","layer":3},{"info":"⇑⪆11110⊹≧⊝=⇑⪆-44440","layer":2},{"info":"⇑⪆21324⪛⇑⪆44200=⇑⪆21324","layer":3},{"info":"⊖∈⇑⪆21324=⇑⪆1224221","layer":2},{"info":"⇑⪆-44440⇡⇂⇑⪆1224221=NaN","layer":1},{"info":"⇑⪆-1234/NaN=NaN","layer":0}]}
{"id":131,"expression_no_base_symbol":"(⊙↵-((⋂$6340$)≳⇉(↩$4741$)))≎⪠(($5512$⪍↜⋙$6382$)⊲⩕⊾(⩩$4293$))⪃⊛⇣(($4062$⊉≛↸$1037$)∌($2238$↼⊘⨖$1770$))","expression":"(⊙↵-((⋂⇑⪆200330)≳⇉(↩⇑⪆122431)))≎⪠((⇑⪆134022⪍↜⋙⇑⪆201012)⊲⩕⊾(⩩⇑⪆114133))⪃⊛⇣((⇑⪆112222⊉≛↸⇑⪆13122)∌(⇑⪆32423↼⊘⨖⇑⪆24040))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":95390,"operation_count":12,"complexity_ratio":7949.166666666667,"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":6340,"base":5}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4741,"base":5}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":5512,"base":5},"right_expr":{"type":"numeric_atoms","value":6382,"base":5}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":4293,"base":5}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4062,"base":5},"right_expr":{"type":"numeric_atoms","value":1037,"base":5}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2238,"base":5},"right_expr":{"type":"numeric_atoms","value":1770,"base":5}}}}},"used_operators":["aNhz54LH3e","oWn0xqSxBt","V0kx6qeWkN","BUOGQAYlQx","jLgFTUHLKL","rrgAzCduG9","DmTXOeWf9t","L05ObWFQCd","kMhfGuqI2H","8cLx32lpNA","DZ8iAZOCBD","bPywburJMS"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"⇑⪆1111213","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6340","layer":4},{"info":"compute unary expreesion, input=6340, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-88164","layer":3},{"info":"number node, value=4741","layer":4},{"info":"compute unary expreesion, input=4741, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-35148","layer":3},{"info":"compute binary expreesion, left_input=-88164, right_input=-35148, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":1},{"info":"number node, value=5512","layer":4},{"info":"number node, value=6382","layer":4},{"info":"compute binary expreesion, left_input=5512, right_input=6382, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-41107","layer":3},{"info":"number node, value=4293","layer":4},{"info":"compute unary expreesion, input=4293, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-41107, 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=4062","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=4062, right_input=1037, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8124","layer":3},{"info":"number node, value=2238","layer":4},{"info":"number node, value=1770","layer":4},{"info":"compute binary expreesion, left_input=2238, right_input=1770, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3318","layer":3},{"info":"compute binary expreesion, left_input=8124, right_input=3318, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3318","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3318, 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 = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":5,"result_base":5,"text":"(⊙↵-((⋂⇑⪆200330)≳⇉(↩⇑⪆122431)))≎⪠((⇑⪆134022⪍↜⋙⇑⪆201012)⊲⩕⊾(⩩⇑⪆114133))⪃⊛⇣((⇑⪆112222⊉≛↸⇑⪆13122)∌(⇑⪆32423↼⊘⨖⇑⪆24040))=⇑⪆1111213","reverse_text":"⇑⪆1111213=(⊙↵-((⋂⇑⪆200330)≳⇉(↩⇑⪆122431)))≎⪠((⇑⪆134022⪍↜⋙⇑⪆201012)⊲⩕⊾(⩩⇑⪆114133))⪃⊛⇣((⇑⪆112222⊉≛↸⇑⪆13122)∌(⇑⪆32423↼⊘⨖⇑⪆24040))","cot":[{"info":"⋂⇑⪆200330=⇑⪆-10310124","layer":3},{"info":"↩⇑⪆122431=⇑⪆-2111043","layer":3},{"info":"⇑⪆-10310124≳⇉⇑⪆-2111043=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⇑⪆134022⪍↜⋙⇑⪆201012=⇑⪆-2303412","layer":3},{"info":"⩩⇑⪆114133=NaN","layer":3},{"info":"⇑⪆-2303412⊲⩕⊾NaN=NaN","layer":2},{"info":"⇑⪆112222⊉≛↸⇑⪆13122=⇑⪆224444","layer":3},{"info":"⇑⪆32423↼⊘⨖⇑⪆24040=⇑⪆101233","layer":3},{"info":"⇑⪆224444∌⇑⪆101233=⇑⪆-101233","layer":2},{"info":"NaN⪃⊛⇣⇑⪆-101233=⇑⪆14414","layer":1},{"info":"NaN≎⪠⇑⪆14414=⇑⪆1111213","layer":0}]}
{"id":132,"expression_no_base_symbol":"(⨈⫕($2019$⫸⊐$7634$)⫯⪬∳$4083$⩣⫁∢$2468$)⪃⊛⇣(≸($1606$⪔⊥$3783$⪘⫢($5729$⋅⇍$7001$)))","expression":"(⨈⫕(⇑⪆31034⫸⊐⇑⪆221014)⫯⪬∳⇑⪆112313⩣⫁∢⇑⪆34333)⪃⊛⇣(≸(⇑⪆22411⪔⊥⇑⪆110113⪘⫢(⇑⪆140404⋅⇍⇑⪆211001)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1542,"operation_count":9,"complexity_ratio":171.33333333333334,"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":2019,"base":5},"right_expr":{"type":"numeric_atoms","value":7634,"base":5}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":4083,"base":5},"right_expr":{"type":"numeric_atoms","value":2468,"base":5}}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1606,"base":5},"right_expr":{"type":"numeric_atoms","value":3783,"base":5}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":5729,"base":5},"right_expr":{"type":"numeric_atoms","value":7001,"base":5}}}}},"used_operators":["rrgAzCduG9","megm06wKyl","d7ASUq0ydm","mqXw5SEYmG","JDUIKTTSIa","eOf03JbCpp","oacrs7FA3X","HJ9erzHUuu","AdZkA7nFnk"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⇑⪆14414","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2019","layer":4},{"info":"number node, value=7634","layer":4},{"info":"compute binary expreesion, left_input=2019, right_input=7634, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=30411","layer":3},{"info":"number node, value=4083","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=4083, right_input=2468, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-8005","layer":3},{"info":"compute binary expreesion, left_input=30411, right_input=-8005, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=91300","layer":2},{"info":"compute unary expreesion, input=91300, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"number node, value=1606","layer":4},{"info":"number node, value=3783","layer":4},{"info":"compute binary expreesion, left_input=1606, right_input=3783, 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":"number node, value=5729","layer":4},{"info":"number node, value=7001","layer":4},{"info":"compute binary expreesion, left_input=5729, right_input=7001, 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=-1341, right_input=-22, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, 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":1},{"info":"compute binary expreesion, left_input=-21, right_input=351, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":5,"result_base":5,"text":"(⨈⫕(⇑⪆31034⫸⊐⇑⪆221014)⫯⪬∳⇑⪆112313⩣⫁∢⇑⪆34333)⪃⊛⇣(≸(⇑⪆22411⪔⊥⇑⪆110113⪘⫢(⇑⪆140404⋅⇍⇑⪆211001)))=⇑⪆14414","reverse_text":"⇑⪆14414=(⨈⫕(⇑⪆31034⫸⊐⇑⪆221014)⫯⪬∳⇑⪆112313⩣⫁∢⇑⪆34333)⪃⊛⇣(≸(⇑⪆22411⪔⊥⇑⪆110113⪘⫢(⇑⪆140404⋅⇍⇑⪆211001)))","cot":[{"info":"⇑⪆31034⫸⊐⇑⪆221014=⇑⪆1433121","layer":3},{"info":"⇑⪆112313⩣⫁∢⇑⪆34333=⇑⪆-224010","layer":3},{"info":"⇑⪆1433121⫯⪬∳⇑⪆-224010=⇑⪆10410200","layer":2},{"info":"⨈⫕⇑⪆10410200=⇑⪆-41","layer":1},{"info":"⇑⪆22411⪔⊥⇑⪆110113=⇑⪆-20331","layer":3},{"info":"⇑⪆140404⋅⇍⇑⪆211001=⇑⪆-42","layer":3},{"info":"⇑⪆-20331⪘⫢⇑⪆-42=⇑⪆-1","layer":2},{"info":"≸⇑⪆-1=⇑⪆2401","layer":1},{"info":"⇑⪆-41⪃⊛⇣⇑⪆2401=⇑⪆14414","layer":0}]}
{"id":133,"expression_no_base_symbol":"(($4636$+⪬∐$3890$)⨿($1669$⊓⋫)⇴∐($3804$⋳⪒$1201$)≦↸$8705$≁↽≥$1215$)⇣⩺⋵((⨝⨆$2566$)≬⇓($2211$⩨$1122$))⫯⪬∳($1970$⫯⪬∳$1700$↬$1078$⨫⇇↔$3960$)","expression":"((⇑⪆122021+⪬∐⇑⪆111030)⨿(⇑⪆23134⊓⋫)⇴∐(⇑⪆110204⋳⪒⇑⪆14301)≦↸⇑⪆234310≁↽≥⇑⪆14330)⇣⩺⋵((⨝⨆⇑⪆40231)≬⇓(⇑⪆32321⩨⇑⪆13442))⫯⪬∳(⇑⪆30340⫯⪬∳⇑⪆23300↬⇑⪆13303⨫⇇↔⇑⪆111320)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":42313,"operation_count":15,"complexity_ratio":2820.866666666667,"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":4636,"base":5},"right_expr":{"type":"numeric_atoms","value":3890,"base":5}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":1669,"base":5}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3804,"base":5},"right_expr":{"type":"numeric_atoms","value":1201,"base":5}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":8705,"base":5},"right_expr":{"type":"numeric_atoms","value":1215,"base":5}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2566,"base":5}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2211,"base":5},"right_expr":{"type":"numeric_atoms","value":1122,"base":5}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1970,"base":5},"right_expr":{"type":"numeric_atoms","value":1700,"base":5}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1078,"base":5},"right_expr":{"type":"numeric_atoms","value":3960,"base":5}}}}},"used_operators":["F4yD0voBRQ","HnzytWxmAO","abYXlopdE0","2GS7woTJqF","IqGBaFP0uj","RygbFNSyEJ","12rbrZMWeM","ncHt1X6cMc","d7ASUq0ydm","jWTQ2TZYIH","bQ67fsrMVf","2DlMacCsIx","B5M0gjZbta","LXhwmt4mBO"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","g55IO6H4Gj","D4vGDi5EA2","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","tifHPKVTfV","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"⇑⪆-2020","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4636","layer":4},{"info":"number node, value=3890","layer":4},{"info":"compute binary expreesion, left_input=4636, right_input=3890, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-13908","layer":3},{"info":"number node, value=1669","layer":4},{"info":"compute unary expreesion, input=1669, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-1797","layer":3},{"info":"compute binary expreesion, left_input=-13908, right_input=-1797, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=3804","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=3804, right_input=1201, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6120","layer":3},{"info":"number node, value=8705","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=8705, right_input=1215, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=120579","layer":3},{"info":"compute binary expreesion, left_input=6120, right_input=120579, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-252717","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-252717, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":1},{"info":"number node, value=2566","layer":4},{"info":"compute unary expreesion, input=2566, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2357","layer":3},{"info":"number node, value=2211","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=2211, right_input=1122, 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=2357, 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":"number node, value=1970","layer":4},{"info":"number node, value=1700","layer":4},{"info":"compute binary expreesion, left_input=1970, right_input=1700, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=8183","layer":3},{"info":"number node, value=1078","layer":4},{"info":"number node, value=3960","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=3960, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=8183, right_input=-527, 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=-22, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-407","layer":1},{"info":"compute binary expreesion, left_input=-116, right_input=-407, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆122021+⪬∐⇑⪆111030)⨿(⇑⪆23134⊓⋫)⇴∐(⇑⪆110204⋳⪒⇑⪆14301)≦↸⇑⪆234310≁↽≥⇑⪆14330)⇣⩺⋵((⨝⨆⇑⪆40231)≬⇓(⇑⪆32321⩨⇑⪆13442))⫯⪬∳(⇑⪆30340⫯⪬∳⇑⪆23300↬⇑⪆13303⨫⇇↔⇑⪆111320)=⇑⪆-2020","reverse_text":"⇑⪆-2020=((⇑⪆122021+⪬∐⇑⪆111030)⨿(⇑⪆23134⊓⋫)⇴∐(⇑⪆110204⋳⪒⇑⪆14301)≦↸⇑⪆234310≁↽≥⇑⪆14330)⇣⩺⋵((⨝⨆⇑⪆40231)≬⇓(⇑⪆32321⩨⇑⪆13442))⫯⪬∳(⇑⪆30340⫯⪬∳⇑⪆23300↬⇑⪆13303⨫⇇↔⇑⪆111320)","cot":[{"info":"⇑⪆122021+⪬∐⇑⪆111030=⇑⪆-421113","layer":3},{"info":"⇑⪆23134⊓⋫=⇑⪆-24142","layer":3},{"info":"⇑⪆-421113⨿⇑⪆-24142=⇑⪆232","layer":2},{"info":"⇑⪆110204⋳⪒⇑⪆14301=⇑⪆143440","layer":3},{"info":"⇑⪆234310≁↽≥⇑⪆14330=⇑⪆12324304","layer":3},{"info":"⇑⪆143440≦↸⇑⪆12324304=⇑⪆-31041332","layer":2},{"info":"⇑⪆232⇴∐⇑⪆-31041332=⇑⪆-431","layer":1},{"info":"⨝⨆⇑⪆40231=⇑⪆33412","layer":3},{"info":"⇑⪆32321⩨⇑⪆13442=⇑⪆0","layer":3},{"info":"⇑⪆33412≬⇓⇑⪆0=⇑⪆-42","layer":2},{"info":"⇑⪆30340⫯⪬∳⇑⪆23300=⇑⪆230213","layer":3},{"info":"⇑⪆13303⨫⇇↔⇑⪆111320=⇑⪆-4102","layer":3},{"info":"⇑⪆230213↬⇑⪆-4102=NaN","layer":2},{"info":"⇑⪆-42⫯⪬∳NaN=⇑⪆-3112","layer":1},{"info":"⇑⪆-431⇣⩺⋵⇑⪆-3112=⇑⪆-2020","layer":0}]}
{"id":134,"expression_no_base_symbol":"($3545$∳⫺$5825$⪭≯($9417$⊧↖))∴(≤/($2607$⫠))⪔⊥((($2172$*$4533$)⨻⩈⩔(⨦⪝$3818$))⊬⨰(⨙⪌$6873$)⊕∕($5426$↡⊰⫅$1022$))","expression":"(⇑⪆103140∳⫺⇑⪆141300⪭≯(⇑⪆300132⊧↖))∴(≤/(⇑⪆40412⫠))⪔⊥(((⇑⪆32142*⇑⪆121113)⨻⩈⩔(⨦⪝⇑⪆110233))⊬⨰(⨙⪌⇑⪆204443)⊕∕(⇑⪆133201↡⊰⫅⇑⪆13042))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":69811,"operation_count":14,"complexity_ratio":4986.5,"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":3545,"base":5},"right_expr":{"type":"numeric_atoms","value":5825,"base":5}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":9417,"base":5}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":2607,"base":5}}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2172,"base":5},"right_expr":{"type":"numeric_atoms","value":4533,"base":5}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":3818,"base":5}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":6873,"base":5}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":5426,"base":5},"right_expr":{"type":"numeric_atoms","value":1022,"base":5}}}}},"used_operators":["HJ9erzHUuu","hrf7POJlIJ","XAx5wpdLa6","AzXXKTstlj","EKiFHuOFxO","eLAdDNolq6","6SnOT2rOjz","s3Fd5m9Dh2","nEsXyWgiOK","9HNa5Wba9A","SUjycxNXIR","9cloC0Ngie","vEGLkm4Z2k","VCtxkLNOzz"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","rysDP5nf3Z","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3545","layer":4},{"info":"number node, value=5825","layer":4},{"info":"compute binary expreesion, left_input=3545, right_input=5825, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=9417","layer":4},{"info":"compute unary expreesion, input=9417, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=532132964","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=532132964, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=2607","layer":4},{"info":"compute unary expreesion, input=2607, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=484, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":1},{"info":"number node, value=2172","layer":4},{"info":"number node, value=4533","layer":4},{"info":"compute binary expreesion, left_input=2172, right_input=4533, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9845676","layer":3},{"info":"number node, value=3818","layer":4},{"info":"compute unary expreesion, input=3818, 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=9845676, right_input=-1884, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=78757007","layer":2},{"info":"number node, value=6873","layer":4},{"info":"compute unary expreesion, input=6873, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=5426","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=5426, right_input=1022, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2044","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=2044, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=868","layer":2},{"info":"compute binary expreesion, left_input=78757007, right_input=868, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=78759423","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=78759423, 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":5,"result_base":5,"text":"(⇑⪆103140∳⫺⇑⪆141300⪭≯(⇑⪆300132⊧↖))∴(≤/(⇑⪆40412⫠))⪔⊥(((⇑⪆32142*⇑⪆121113)⨻⩈⩔(⨦⪝⇑⪆110233))⊬⨰(⨙⪌⇑⪆204443)⊕∕(⇑⪆133201↡⊰⫅⇑⪆13042))=NaN","reverse_text":"NaN=(⇑⪆103140∳⫺⇑⪆141300⪭≯(⇑⪆300132⊧↖))∴(≤/(⇑⪆40412⫠))⪔⊥(((⇑⪆32142*⇑⪆121113)⨻⩈⩔(⨦⪝⇑⪆110233))⊬⨰(⨙⪌⇑⪆204443)⊕∕(⇑⪆133201↡⊰⫅⇑⪆13042))","cot":[{"info":"⇑⪆103140∳⫺⇑⪆141300=⇑⪆-2020","layer":3},{"info":"⇑⪆300132⊧↖=⇑⪆2042211223324","layer":3},{"info":"⇑⪆-2020⪭≯⇑⪆2042211223324=NaN","layer":2},{"info":"⇑⪆40412⫠=⇑⪆0","layer":3},{"info":"≤/⇑⪆0=⇑⪆3414","layer":2},{"info":"NaN∴⇑⪆3414=NaN","layer":1},{"info":"⇑⪆32142*⇑⪆121113=⇑⪆10010030201","layer":3},{"info":"⨦⪝⇑⪆110233=⇑⪆-30014","layer":3},{"info":"⇑⪆10010030201⨻⩈⩔⇑⪆-30014=⇑⪆130130211012","layer":2},{"info":"⨙⪌⇑⪆204443=⇑⪆11433","layer":3},{"info":"⇑⪆133201↡⊰⫅⇑⪆13042=⇑⪆31134","layer":3},{"info":"⇑⪆11433⊕∕⇑⪆31134=⇑⪆11433","layer":2},{"info":"⇑⪆130130211012⊬⨰⇑⪆11433=⇑⪆130130300143","layer":1},{"info":"NaN⪔⊥⇑⪆130130300143=NaN","layer":0}]}
{"id":135,"expression_no_base_symbol":"((⊊≼∋($1901$↹⊜$3186$))⪁$7302$⪬$3500$≁↽≥($5393$⪑⩈))↓(≸≮$7357$↞⋁$2224$)↹⊜($4590$↸$1385$)∥⊢⊲$4478$⫞⩸⩒$1026$","expression":"((⊊≼∋(⇑⪆30101↹⊜⇑⪆100221))⪁⇑⪆213202⪬⇑⪆103000≁↽≥(⇑⪆133033⪑⩈))↓(≸≮⇑⪆213412↞⋁⇑⪆32344)↹⊜(⇑⪆121330↸⇑⪆21020)∥⊢⊲⇑⪆120403⫞⩸⩒⇑⪆13101","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":31029,"operation_count":13,"complexity_ratio":2386.846153846154,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1901,"base":5},"right_expr":{"type":"numeric_atoms","value":3186,"base":5}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":7302,"base":5},"right_expr":{"type":"numeric_atoms","value":3500,"base":5}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":5393,"base":5}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":7357,"base":5},"right_expr":{"type":"numeric_atoms","value":2224,"base":5}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":4590,"base":5},"right_expr":{"type":"numeric_atoms","value":1385,"base":5}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":4478,"base":5},"right_expr":{"type":"numeric_atoms","value":1026,"base":5}}}}},"used_operators":["Af076pWI7l","I7sXao9hZE","FWz7pXsQhA","9bazX3JMtO","ncHt1X6cMc","Ez1Nq5fNfI","C6VvDP6HwP","AljMvE3RRm","RqrPlJkxDo","v1UQAVDJRr","1eCjFl0mb9","XGcMNugi78"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","B5M0gjZbta","jCPkEVoL5K","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","oWn0xqSxBt","3Oe9XWJUTD","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","EBcxylXtPf","rGHVDoGpnC","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"⇑⪆-1014","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1901","layer":4},{"info":"number node, value=3186","layer":4},{"info":"compute binary expreesion, left_input=1901, right_input=3186, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-9038","layer":3},{"info":"compute unary expreesion, input=-9038, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":2},{"info":"number node, value=7302","layer":4},{"info":"number node, value=3500","layer":4},{"info":"compute binary expreesion, left_input=7302, right_input=3500, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=5393","layer":4},{"info":"compute unary expreesion, input=5393, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=39341","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=39341, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=28442","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=28442, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=7357","layer":4},{"info":"number node, value=2224","layer":4},{"info":"compute binary expreesion, left_input=7357, right_input=2224, 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 = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"number node, value=4590","layer":4},{"info":"number node, value=1385","layer":4},{"info":"compute binary expreesion, left_input=4590, right_input=1385, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=4590","layer":3},{"info":"number node, value=4478","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=4478, right_input=1026, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1026","layer":3},{"info":"compute binary expreesion, left_input=4590, right_input=1026, 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=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 = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":5,"result_base":5,"text":"((⊊≼∋(⇑⪆30101↹⊜⇑⪆100221))⪁⇑⪆213202⪬⇑⪆103000≁↽≥(⇑⪆133033⪑⩈))↓(≸≮⇑⪆213412↞⋁⇑⪆32344)↹⊜(⇑⪆121330↸⇑⪆21020)∥⊢⊲⇑⪆120403⫞⩸⩒⇑⪆13101=⇑⪆-1014","reverse_text":"⇑⪆-1014=((⊊≼∋(⇑⪆30101↹⊜⇑⪆100221))⪁⇑⪆213202⪬⇑⪆103000≁↽≥(⇑⪆133033⪑⩈))↓(≸≮⇑⪆213412↞⋁⇑⪆32344)↹⊜(⇑⪆121330↸⇑⪆21020)∥⊢⊲⇑⪆120403⫞⩸⩒⇑⪆13101","cot":[{"info":"⇑⪆30101↹⊜⇑⪆100221=⇑⪆-242123","layer":3},{"info":"⊊≼∋⇑⪆-242123=NaN","layer":2},{"info":"⇑⪆213202⪬⇑⪆103000=⇑⪆14414","layer":3},{"info":"⇑⪆133033⪑⩈=⇑⪆2224331","layer":3},{"info":"⇑⪆14414≁↽≥⇑⪆2224331=⇑⪆1402232","layer":2},{"info":"NaN⪁⇑⪆1402232=NaN","layer":1},{"info":"⇑⪆213412↞⋁⇑⪆32344=NaN","layer":3},{"info":"≸≮NaN=NaN","layer":2},{"info":"⇑⪆121330↸⇑⪆21020=⇑⪆121330","layer":3},{"info":"⇑⪆120403⫞⩸⩒⇑⪆13101=⇑⪆13101","layer":3},{"info":"⇑⪆121330∥⊢⊲⇑⪆13101=NaN","layer":2},{"info":"NaN↹⊜NaN=NaN","layer":1},{"info":"NaN↓NaN=⇑⪆-1014","layer":0}]}
{"id":136,"expression_no_base_symbol":"(⊽($6429$⩧⪆$1512$))⫘($4555$⨼⩣$1891$)⨑⩅≇(∡$3772$)↫","expression":"(⊽(⇑⪆201204⩧⪆⇑⪆22022))⫘(⇑⪆121210⨼⩣⇑⪆30031)⨑⩅≇(∡⇑⪆110042)↫","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":562,"operation_count":7,"complexity_ratio":80.28571428571429,"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":6429,"base":5},"right_expr":{"type":"numeric_atoms","value":1512,"base":5}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4555,"base":5},"right_expr":{"type":"numeric_atoms","value":1891,"base":5}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":3772,"base":5}}}}},"used_operators":["uPb5QRN0te","48vC8HMD2b","QxG7OkqoLX","Ikt5ks8PT7","h92wMvzauj","JxwMv5le6e","pRsWfj4Fpp"],"dependent_operators":["i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","eewbuw0ToL","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0"],"result":"⇑⪆1120","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6429","layer":4},{"info":"number node, value=1512","layer":4},{"info":"compute binary expreesion, left_input=6429, right_input=1512, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1512","layer":3},{"info":"compute unary expreesion, input=-1512, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":2},{"info":"number node, value=4555","layer":4},{"info":"number node, value=1891","layer":4},{"info":"compute binary expreesion, left_input=4555, right_input=1891, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=3772","layer":4},{"info":"compute unary expreesion, input=3772, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-3772","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3772, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=935, op_id = 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 = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":0}],"base":5,"result_base":5,"text":"(⊽(⇑⪆201204⩧⪆⇑⪆22022))⫘(⇑⪆121210⨼⩣⇑⪆30031)⨑⩅≇(∡⇑⪆110042)↫=⇑⪆1120","reverse_text":"⇑⪆1120=(⊽(⇑⪆201204⩧⪆⇑⪆22022))⫘(⇑⪆121210⨼⩣⇑⪆30031)⨑⩅≇(∡⇑⪆110042)↫","cot":[{"info":"⇑⪆201204⩧⪆⇑⪆22022=⇑⪆-22022","layer":3},{"info":"⊽⇑⪆-22022=⇑⪆0","layer":2},{"info":"⇑⪆121210⨼⩣⇑⪆30031=NaN","layer":3},{"info":"∡⇑⪆110042=⇑⪆-110042","layer":3},{"info":"NaN⨑⩅≇⇑⪆-110042=⇑⪆12220","layer":2},{"info":"⇑⪆0⫘⇑⪆12220=NaN","layer":1},{"info":"NaN↫=⇑⪆1120","layer":0}]}
{"id":137,"expression_no_base_symbol":"($4429$∑⇟⊟$1542$)⇂≾⫗($1064$⨑⩅≇$6022$)≨($4244$⪶≀⋏$4539$)⩼⇪↪$6020$∥⊢⊲$5115$⫠↝⫳","expression":"(⇑⪆120204∑⇟⊟⇑⪆22132)⇂≾⫗(⇑⪆13224⨑⩅≇⇑⪆143042)≨(⇑⪆113434⪶≀⋏⇑⪆121124)⩼⇪↪⇑⪆143040∥⊢⊲⇑⪆130430⫠↝⫳","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6245,"operation_count":8,"complexity_ratio":780.625,"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":4429,"base":5},"right_expr":{"type":"numeric_atoms","value":1542,"base":5}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1064,"base":5},"right_expr":{"type":"numeric_atoms","value":6022,"base":5}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4244,"base":5},"right_expr":{"type":"numeric_atoms","value":4539,"base":5}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":6020,"base":5},"right_expr":{"type":"numeric_atoms","value":5115,"base":5}}}}},"used_operators":["8n5YIzOsVS","0KMCeP1Jsh","aBQ6xLxuTc","U7g4x0WXJJ","h92wMvzauj","ocnLzx9CaJ","zR4jO40bMj","v1UQAVDJRr"],"dependent_operators":["9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4429","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=4429, right_input=1542, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1064","layer":4},{"info":"number node, value=6022","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=6022, 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=-3192","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3192, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"number node, value=4244","layer":4},{"info":"number node, value=4539","layer":4},{"info":"compute binary expreesion, left_input=4244, right_input=4539, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-22042","layer":3},{"info":"number node, value=6020","layer":4},{"info":"number node, value=5115","layer":4},{"info":"compute binary expreesion, left_input=6020, right_input=5115, 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=-22042, 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 = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', 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":5,"result_base":5,"text":"(⇑⪆120204∑⇟⊟⇑⪆22132)⇂≾⫗(⇑⪆13224⨑⩅≇⇑⪆143042)≨(⇑⪆113434⪶≀⋏⇑⪆121124)⩼⇪↪⇑⪆143040∥⊢⊲⇑⪆130430⫠↝⫳=NaN","reverse_text":"NaN=(⇑⪆120204∑⇟⊟⇑⪆22132)⇂≾⫗(⇑⪆13224⨑⩅≇⇑⪆143042)≨(⇑⪆113434⪶≀⋏⇑⪆121124)⩼⇪↪⇑⪆143040∥⊢⊲⇑⪆130430⫠↝⫳","cot":[{"info":"⇑⪆120204∑⇟⊟⇑⪆22132=NaN","layer":3},{"info":"⇑⪆13224⨑⩅≇⇑⪆143042=⇑⪆-100232","layer":3},{"info":"NaN⇂≾⫗⇑⪆-100232=NaN","layer":2},{"info":"⇑⪆113434⪶≀⋏⇑⪆121124=⇑⪆-1201132","layer":3},{"info":"⇑⪆143040∥⊢⊲⇑⪆130430=NaN","layer":3},{"info":"⇑⪆-1201132⩼⇪↪NaN=NaN","layer":2},{"info":"NaN≨NaN=NaN","layer":1},{"info":"NaN⫠↝⫳=NaN","layer":0}]}
{"id":138,"expression_no_base_symbol":"(≪($6562$≁$3639$))⩦(($1812$⫭)⨼⩣(⇾⩊⇾$1806$))⊝","expression":"(≪(⇑⪆202222≁⇑⪆104024))⩦((⇑⪆24222⫭)⨼⩣(⇾⩊⇾⇑⪆24211))⊝","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":68737,"operation_count":7,"complexity_ratio":9819.57142857143,"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":6562,"base":5},"right_expr":{"type":"numeric_atoms","value":3639,"base":5}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":1812,"base":5}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1806,"base":5}}}}},"used_operators":["O6EZ0fifGK","0kmYd0q39Y","Qtd6bqUJcN","8N2wDY1A35","JxwMv5le6e","t4WUHVGj7f","bx9Z9DAK5y"],"dependent_operators":["IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q"],"result":"⇑⪆24301","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6562","layer":4},{"info":"number node, value=3639","layer":4},{"info":"compute binary expreesion, left_input=6562, right_input=3639, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=74135","layer":3},{"info":"compute unary expreesion, input=74135, 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=1812","layer":4},{"info":"compute unary expreesion, input=1812, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=5677","layer":3},{"info":"number node, value=1806","layer":4},{"info":"compute unary expreesion, input=1806, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-22740","layer":3},{"info":"compute binary expreesion, left_input=5677, right_input=-22740, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=913, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=1826","layer":1},{"info":"compute unary expreesion, input=1826, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=1826","layer":0}],"base":5,"result_base":5,"text":"(≪(⇑⪆202222≁⇑⪆104024))⩦((⇑⪆24222⫭)⨼⩣(⇾⩊⇾⇑⪆24211))⊝=⇑⪆24301","reverse_text":"⇑⪆24301=(≪(⇑⪆202222≁⇑⪆104024))⩦((⇑⪆24222⫭)⨼⩣(⇾⩊⇾⇑⪆24211))⊝","cot":[{"info":"⇑⪆202222≁⇑⪆104024=⇑⪆4333020","layer":3},{"info":"≪⇑⪆4333020=⇑⪆12123","layer":2},{"info":"⇑⪆24222⫭=⇑⪆140202","layer":3},{"info":"⇾⩊⇾⇑⪆24211=⇑⪆-1211430","layer":3},{"info":"⇑⪆140202⨼⩣⇑⪆-1211430=NaN","layer":2},{"info":"⇑⪆12123⩦NaN=⇑⪆24301","layer":1},{"info":"⇑⪆24301⊝=⇑⪆24301","layer":0}]}
{"id":139,"expression_no_base_symbol":"⊽(↡((⪛⨧$1892$)⨚⇆(⪲⇎$1371$)))","expression":"⊽(↡((⪛⨧⇑⪆30032)⨚⇆(⪲⇎⇑⪆20441)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":36361,"operation_count":5,"complexity_ratio":7272.2,"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":1892,"base":5}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1371,"base":5}}}}},"used_operators":["QxG7OkqoLX","MXaNJeIAZ3","lwHaAYXP2r","6NJAcO2OWT","XPYlsWDdGa"],"dependent_operators":["g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1892","layer":4},{"info":"compute unary expreesion, input=1892, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=5185","layer":3},{"info":"number node, value=1371","layer":4},{"info":"compute unary expreesion, input=1371, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2742","layer":3},{"info":"compute binary expreesion, left_input=5185, right_input=2742, 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 = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', 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":5,"result_base":5,"text":"⊽(↡((⪛⨧⇑⪆30032)⨚⇆(⪲⇎⇑⪆20441)))=NaN","reverse_text":"NaN=⊽(↡((⪛⨧⇑⪆30032)⨚⇆(⪲⇎⇑⪆20441)))","cot":[{"info":"⪛⨧⇑⪆30032=⇑⪆131220","layer":3},{"info":"⪲⇎⇑⪆20441=⇑⪆41432","layer":3},{"info":"⇑⪆131220⨚⇆⇑⪆41432=NaN","layer":2},{"info":"↡NaN=NaN","layer":1},{"info":"⊽NaN=NaN","layer":0}]}
{"id":140,"expression_no_base_symbol":"($3481$/$2116$)⨟⋌⩍$2166$≹⇙⪍$7821$⨎($6595$⋝⋈⪟$6179$)⫒⫫$2308$∥⊢⊲$4062$⋭≵(⇺⋃(⇘($1723$↬$3706$)))","expression":"(⇑⪆102411/⇑⪆31431)⨟⋌⩍⇑⪆32131≹⇙⪍⇑⪆222241⨎(⇑⪆202340⋝⋈⪟⇑⪆144204)⫒⫫⇑⪆33213∥⊢⊲⇑⪆112222⋭≵(⇺⋃(⇘(⇑⪆23343↬⇑⪆104311)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":185,"operation_count":11,"complexity_ratio":16.818181818181817,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3481,"base":5},"right_expr":{"type":"numeric_atoms","value":2116,"base":5}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2166,"base":5},"right_expr":{"type":"numeric_atoms","value":7821,"base":5}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6595,"base":5},"right_expr":{"type":"numeric_atoms","value":6179,"base":5}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2308,"base":5},"right_expr":{"type":"numeric_atoms","value":4062,"base":5}}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1723,"base":5},"right_expr":{"type":"numeric_atoms","value":3706,"base":5}}}}},"used_operators":["jBncVCNhdl","rJVOvQCfKK","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr","6Ko8hGgeMq","2DDjHMKMc0","v1UQAVDJRr","E5v5B3UAjG","MGuIdZPyUC","B5M0gjZbta"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tcnh7f0tEr","rysDP5nf3Z","dWAJyo7jo9","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","rGHVDoGpnC"],"result":"⇑⪆232","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=3481","layer":4},{"info":"number node, value=2116","layer":4},{"info":"compute binary expreesion, left_input=3481, right_input=2116, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=2166","layer":4},{"info":"number node, value=7821","layer":4},{"info":"compute binary expreesion, left_input=2166, right_input=7821, 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=1, 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=6595","layer":4},{"info":"number node, value=6179","layer":4},{"info":"compute binary expreesion, left_input=6595, right_input=6179, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6595","layer":3},{"info":"number node, value=2308","layer":4},{"info":"number node, value=4062","layer":4},{"info":"compute binary expreesion, left_input=2308, right_input=4062, 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=6595, right_input=nan, 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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"number node, value=1723","layer":4},{"info":"number node, value=3706","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=3706, 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 = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆102411/⇑⪆31431)⨟⋌⩍⇑⪆32131≹⇙⪍⇑⪆222241⨎(⇑⪆202340⋝⋈⪟⇑⪆144204)⫒⫫⇑⪆33213∥⊢⊲⇑⪆112222⋭≵(⇺⋃(⇘(⇑⪆23343↬⇑⪆104311)))=⇑⪆232","reverse_text":"⇑⪆232=(⇑⪆102411/⇑⪆31431)⨟⋌⩍⇑⪆32131≹⇙⪍⇑⪆222241⨎(⇑⪆202340⋝⋈⪟⇑⪆144204)⫒⫫⇑⪆33213∥⊢⊲⇑⪆112222⋭≵(⇺⋃(⇘(⇑⪆23343↬⇑⪆104311)))","cot":[{"info":"⇑⪆102411/⇑⪆31431=⇑⪆1","layer":3},{"info":"⇑⪆32131≹⇙⪍⇑⪆222241=NaN","layer":3},{"info":"⇑⪆1⨟⋌⩍NaN=NaN","layer":2},{"info":"⇑⪆202340⋝⋈⪟⇑⪆144204=⇑⪆202340","layer":3},{"info":"⇑⪆33213∥⊢⊲⇑⪆112222=NaN","layer":3},{"info":"⇑⪆202340⫒⫫NaN=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"⇑⪆23343↬⇑⪆104311=NaN","layer":3},{"info":"⇘NaN=NaN","layer":2},{"info":"⇺⋃NaN=NaN","layer":1},{"info":"NaN⋭≵NaN=⇑⪆232","layer":0}]}
{"id":141,"expression_no_base_symbol":"(+⊝⨔(≱⇩⩕($6661$⊉≛↸$5019$)))∠↢(≑⋹(⨩∲⋌$1478$))⨿($2829$⊕∕$2771$⨐⩸⫘(⇁⨣⪵$1322$))","expression":"(+⊝⨔(≱⇩⩕(⇑⪆203121⊉≛↸⇑⪆130034)))∠↢(≑⋹(⨩∲⋌⇑⪆21403))⨿(⇑⪆42304⊕∕⇑⪆42041⨐⩸⫘(⇁⨣⪵⇑⪆20242))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5085,"operation_count":10,"complexity_ratio":508.5,"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":6661,"base":5},"right_expr":{"type":"numeric_atoms","value":5019,"base":5}}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":1478,"base":5}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2829,"base":5},"right_expr":{"type":"numeric_atoms","value":2771,"base":5}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1322,"base":5}}}}},"used_operators":["KbjG8mgYpV","DhbWaqg5eL","3DZMoQKiUl","DZ8iAZOCBD","abYXlopdE0","6B9nyZLogK","aSik1wnThz","fu6greOZ01","9cloC0Ngie","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","3ViojmjbAp","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","B5M0gjZbta"],"result":"⇑⪆-142234","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6661","layer":4},{"info":"number node, value=5019","layer":4},{"info":"compute binary expreesion, left_input=6661, right_input=5019, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=13322","layer":3},{"info":"compute unary expreesion, input=13322, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, 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":"number node, value=1478","layer":4},{"info":"compute unary expreesion, input=1478, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2001","layer":3},{"info":"compute unary expreesion, input=-2001, 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=2829","layer":4},{"info":"number node, value=2771","layer":4},{"info":"compute binary expreesion, left_input=2829, right_input=2771, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2829","layer":3},{"info":"number node, value=1322","layer":4},{"info":"compute unary expreesion, input=1322, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2829, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-766, 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 binary expreesion, left_input=1522, right_input=67, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-5944","layer":0}],"base":5,"result_base":5,"text":"(+⊝⨔(≱⇩⩕(⇑⪆203121⊉≛↸⇑⪆130034)))∠↢(≑⋹(⨩∲⋌⇑⪆21403))⨿(⇑⪆42304⊕∕⇑⪆42041⨐⩸⫘(⇁⨣⪵⇑⪆20242))=⇑⪆-142234","reverse_text":"⇑⪆-142234=(+⊝⨔(≱⇩⩕(⇑⪆203121⊉≛↸⇑⪆130034)))∠↢(≑⋹(⨩∲⋌⇑⪆21403))⨿(⇑⪆42304⊕∕⇑⪆42041⨐⩸⫘(⇁⨣⪵⇑⪆20242))","cot":[{"info":"⇑⪆203121⊉≛↸⇑⪆130034=⇑⪆411242","layer":3},{"info":"≱⇩⩕⇑⪆411242=⇑⪆423","layer":2},{"info":"+⊝⨔⇑⪆423=⇑⪆22042","layer":1},{"info":"⨩∲⋌⇑⪆21403=⇑⪆-31001","layer":3},{"info":"≑⋹⇑⪆-31001=⇑⪆-11031","layer":2},{"info":"⇑⪆42304⊕∕⇑⪆42041=⇑⪆42304","layer":3},{"info":"⇁⨣⪵⇑⪆20242=NaN","layer":3},{"info":"⇑⪆42304⨐⩸⫘NaN=NaN","layer":2},{"info":"⇑⪆-11031⨿NaN=⇑⪆232","layer":1},{"info":"⇑⪆22042∠↢⇑⪆232=⇑⪆-142234","layer":0}]}
{"id":142,"expression_no_base_symbol":"(↯⪼$3050$∇⊂⋱$4834$→⨶⪴($4057$⇉⇱⇎))⩦(((⫶⊄≣$1917$)⋥≓≎$1028$∌$3491$)⨎($1041$≚⊃≕$7388$↙$1319$⫒⫫$1377$))","expression":"(↯⪼⇑⪆44200∇⊂⋱⇑⪆123314→⨶⪴(⇑⪆112212⇉⇱⇎))⩦(((⫶⊄≣⇑⪆30132)⋥≓≎⇑⪆13103∌⇑⪆102431)⨎(⇑⪆13131≚⊃≕⇑⪆214023↙⇑⪆20234⫒⫫⇑⪆21002))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2080,"operation_count":12,"complexity_ratio":173.33333333333334,"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":3050,"base":5},"right_expr":{"type":"numeric_atoms","value":4834,"base":5}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":4057,"base":5}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1917,"base":5}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1028,"base":5},"right_expr":{"type":"numeric_atoms","value":3491,"base":5}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1041,"base":5},"right_expr":{"type":"numeric_atoms","value":7388,"base":5}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1319,"base":5},"right_expr":{"type":"numeric_atoms","value":1377,"base":5}}}}},"used_operators":["0kmYd0q39Y","8jW3W4yZS5","bF6eod5Gvf","nhYeJWJD5X","MRPaB8lBjK","rJVOvQCfKK","Qy55tPpLXF","wxb3vTeyAj","8cLx32lpNA","yyfyN0ffXY","Bmrmz2XGnR","6Ko8hGgeMq"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","8w2t5hMYqp","9FxExcQeMw","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"⇑⪆-132","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3050","layer":4},{"info":"number node, value=4834","layer":4},{"info":"compute binary expreesion, left_input=3050, right_input=4834, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=5554","layer":3},{"info":"number node, value=4057","layer":4},{"info":"compute unary expreesion, input=4057, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-3839","layer":3},{"info":"compute binary expreesion, left_input=5554, right_input=-3839, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=18754","layer":2},{"info":"compute unary expreesion, input=18754, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=1917","layer":4},{"info":"compute unary expreesion, input=1917, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=66179197","layer":3},{"info":"number node, value=1028","layer":4},{"info":"number node, value=3491","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=3491, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3491","layer":3},{"info":"compute binary expreesion, left_input=66179197, right_input=-3491, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-66186146","layer":2},{"info":"number node, value=1041","layer":4},{"info":"number node, value=7388","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=7388, 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=-23578","layer":3},{"info":"number node, value=1319","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=1377, 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=-23578, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-23578","layer":2},{"info":"compute binary expreesion, left_input=-66186146, right_input=-23578, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-23578","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-23578, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-42","layer":0}],"base":5,"result_base":5,"text":"(↯⪼⇑⪆44200∇⊂⋱⇑⪆123314→⨶⪴(⇑⪆112212⇉⇱⇎))⩦(((⫶⊄≣⇑⪆30132)⋥≓≎⇑⪆13103∌⇑⪆102431)⨎(⇑⪆13131≚⊃≕⇑⪆214023↙⇑⪆20234⫒⫫⇑⪆21002))=⇑⪆-132","reverse_text":"⇑⪆-132=(↯⪼⇑⪆44200∇⊂⋱⇑⪆123314→⨶⪴(⇑⪆112212⇉⇱⇎))⩦(((⫶⊄≣⇑⪆30132)⋥≓≎⇑⪆13103∌⇑⪆102431)⨎(⇑⪆13131≚⊃≕⇑⪆214023↙⇑⪆20234⫒⫫⇑⪆21002))","cot":[{"info":"⇑⪆44200∇⊂⋱⇑⪆123314=⇑⪆134204","layer":3},{"info":"⇑⪆112212⇉⇱⇎=⇑⪆-110324","layer":3},{"info":"⇑⪆134204→⨶⪴⇑⪆-110324=⇑⪆1100004","layer":2},{"info":"↯⪼⇑⪆1100004=⇑⪆-41","layer":1},{"info":"⫶⊄≣⇑⪆30132=⇑⪆113420213242","layer":3},{"info":"⇑⪆13103∌⇑⪆102431=⇑⪆-102431","layer":3},{"info":"⇑⪆113420213242⋥≓≎⇑⪆-102431=⇑⪆-113420424041","layer":2},{"info":"⇑⪆13131≚⊃≕⇑⪆214023=⇑⪆-1223303","layer":3},{"info":"⇑⪆20234⫒⫫⇑⪆21002=NaN","layer":3},{"info":"⇑⪆-1223303↙NaN=⇑⪆-1223303","layer":2},{"info":"⇑⪆-113420424041⨎⇑⪆-1223303=⇑⪆-1223303","layer":1},{"info":"⇑⪆-41⩦⇑⪆-1223303=⇑⪆-132","layer":0}]}
{"id":143,"expression_no_base_symbol":"((↣≠⋷$3589$⩦$1470$)⪇≇⋚(($3512$↱$3054$)≀⩗∶$5053$≄⊠$5693$))⇌⫙⪟($2456$↹⊜$1473$∖$4750$≌$1814$)⨽∌(⨑⩽⪐(⇋⊎⋝$2917$))","expression":"((↣≠⋷⇑⪆103324⩦⇑⪆21340)⪇≇⋚((⇑⪆103022↱⇑⪆44204)≀⩗∶⇑⪆130203≄⊠⇑⪆140233))⇌⫙⪟(⇑⪆34311↹⊜⇑⪆21343∖⇑⪆123000≌⇑⪆24224)⨽∌(⨑⩽⪐(⇋⊎⋝⇑⪆43132))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5283,"operation_count":13,"complexity_ratio":406.38461538461536,"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":3589,"base":5},"right_expr":{"type":"numeric_atoms","value":1470,"base":5}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3512,"base":5},"right_expr":{"type":"numeric_atoms","value":3054,"base":5}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":5053,"base":5},"right_expr":{"type":"numeric_atoms","value":5693,"base":5}}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2456,"base":5},"right_expr":{"type":"numeric_atoms","value":1473,"base":5}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":4750,"base":5},"right_expr":{"type":"numeric_atoms","value":1814,"base":5}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":2917,"base":5}}}}},"used_operators":["AFVx7xoS7T","3sJ7IOPOlU","Asc51vEJeQ","0kmYd0q39Y","8INZBEW696","SR5kFfdi6N","vXNesLlMH1","9samAPKr6k","tXD093vOjl","9bazX3JMtO","lyWz822IDG","AF7qkfDlqP","CzM2PEoXns"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","XhwjNDsVaA","AHs5Up7iyr","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3589","layer":4},{"info":"number node, value=1470","layer":4},{"info":"compute binary expreesion, left_input=3589, right_input=1470, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=7178","layer":3},{"info":"compute unary expreesion, input=7178, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=3512","layer":4},{"info":"number node, value=3054","layer":4},{"info":"compute binary expreesion, left_input=3512, right_input=3054, 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=-8640","layer":3},{"info":"number node, value=5053","layer":4},{"info":"number node, value=5693","layer":4},{"info":"compute binary expreesion, left_input=5053, right_input=5693, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=95756","layer":3},{"info":"compute binary expreesion, left_input=-8640, right_input=95756, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=36","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=36, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":1},{"info":"number node, value=2456","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=2456, right_input=1473, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-1076","layer":3},{"info":"number node, value=4750","layer":4},{"info":"number node, value=1814","layer":4},{"info":"compute binary expreesion, left_input=4750, right_input=1814, 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=-1076, 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=2917","layer":4},{"info":"compute unary expreesion, input=2917, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, 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=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":5,"result_base":5,"text":"((↣≠⋷⇑⪆103324⩦⇑⪆21340)⪇≇⋚((⇑⪆103022↱⇑⪆44204)≀⩗∶⇑⪆130203≄⊠⇑⪆140233))⇌⫙⪟(⇑⪆34311↹⊜⇑⪆21343∖⇑⪆123000≌⇑⪆24224)⨽∌(⨑⩽⪐(⇋⊎⋝⇑⪆43132))=NaN","reverse_text":"NaN=((↣≠⋷⇑⪆103324⩦⇑⪆21340)⪇≇⋚((⇑⪆103022↱⇑⪆44204)≀⩗∶⇑⪆130203≄⊠⇑⪆140233))⇌⫙⪟(⇑⪆34311↹⊜⇑⪆21343∖⇑⪆123000≌⇑⪆24224)⨽∌(⨑⩽⪐(⇋⊎⋝⇑⪆43132))","cot":[{"info":"⇑⪆103324⩦⇑⪆21340=⇑⪆212203","layer":3},{"info":"↣≠⋷⇑⪆212203=NaN","layer":2},{"info":"⇑⪆103022↱⇑⪆44204=⇑⪆-234030","layer":3},{"info":"⇑⪆130203≄⊠⇑⪆140233=⇑⪆11031011","layer":3},{"info":"⇑⪆-234030≀⩗∶⇑⪆11031011=⇑⪆121","layer":2},{"info":"NaN⪇≇⋚⇑⪆121=NaN","layer":1},{"info":"⇑⪆34311↹⊜⇑⪆21343=⇑⪆-13301","layer":3},{"info":"⇑⪆123000≌⇑⪆24224=NaN","layer":3},{"info":"⇑⪆-13301∖NaN=⇑⪆0","layer":2},{"info":"⇋⊎⋝⇑⪆43132=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⇑⪆0⨽∌NaN=NaN","layer":1},{"info":"NaN⇌⫙⪟NaN=NaN","layer":0}]}
{"id":144,"expression_no_base_symbol":"(($1618$⋻⩜⩜$1403$⊉≛↸$1465$⨚$1527$)⪥($1205$↳≱$9544$⫰⋱$1972$⋕⪉⪜$1066$))⫣⪄⊒(⩎⋉((→⩰$7723$)⊉↱≁($5141$%$1403$)))","expression":"((⇑⪆22433⋻⩜⩜⇑⪆21103⊉≛↸⇑⪆21330⨚⇑⪆22102)⪥(⇑⪆14310↳≱⇑⪆301134⫰⋱⇑⪆30342⋕⪉⪜⇑⪆13231))⫣⪄⊒(⩎⋉((→⩰⇑⪆221343)⊉↱≁(⇑⪆131031%⇑⪆21103)))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":28035,"operation_count":12,"complexity_ratio":2336.25,"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":1618,"base":5},"right_expr":{"type":"numeric_atoms","value":1403,"base":5}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1465,"base":5},"right_expr":{"type":"numeric_atoms","value":1527,"base":5}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1205,"base":5},"right_expr":{"type":"numeric_atoms","value":9544,"base":5}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1972,"base":5},"right_expr":{"type":"numeric_atoms","value":1066,"base":5}}}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":7723,"base":5}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5141,"base":5},"right_expr":{"type":"numeric_atoms","value":1403,"base":5}}}}},"used_operators":["RabNbG55vr","QbnwKVWMIQ","DZ8iAZOCBD","oDCm7WA9JY","nREPSIbpBE","6o9Blt3TJ6","JwTKLfZU96","z6LnFrNh4i","FlXk3pOYe8","w2P8NbNXyL","o8Pngz0Tml","k8jYdgA6NY"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","rysDP5nf3Z"],"result":"⇑⪆1120","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1618","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=1618, right_input=1403, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3236","layer":3},{"info":"number node, value=1465","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=1527, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-2244","layer":3},{"info":"compute binary expreesion, left_input=3236, right_input=-2244, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6472","layer":2},{"info":"number node, value=1205","layer":4},{"info":"number node, value=9544","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=9544, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1972","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=1972, right_input=1066, 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 = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=33","layer":2},{"info":"compute binary expreesion, left_input=6472, right_input=33, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":1},{"info":"number node, value=7723","layer":4},{"info":"compute unary expreesion, input=7723, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=5141","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=5141, right_input=1403, op_id = k8jYdgA6NY binary_op_definition= 'None', output=932","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=932, 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 = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-116, 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":5,"result_base":5,"text":"((⇑⪆22433⋻⩜⩜⇑⪆21103⊉≛↸⇑⪆21330⨚⇑⪆22102)⪥(⇑⪆14310↳≱⇑⪆301134⫰⋱⇑⪆30342⋕⪉⪜⇑⪆13231))⫣⪄⊒(⩎⋉((→⩰⇑⪆221343)⊉↱≁(⇑⪆131031%⇑⪆21103)))=⇑⪆1120","reverse_text":"⇑⪆1120=((⇑⪆22433⋻⩜⩜⇑⪆21103⊉≛↸⇑⪆21330⨚⇑⪆22102)⪥(⇑⪆14310↳≱⇑⪆301134⫰⋱⇑⪆30342⋕⪉⪜⇑⪆13231))⫣⪄⊒(⩎⋉((→⩰⇑⪆221343)⊉↱≁(⇑⪆131031%⇑⪆21103)))","cot":[{"info":"⇑⪆22433⋻⩜⩜⇑⪆21103=⇑⪆100421","layer":3},{"info":"⇑⪆21330⨚⇑⪆22102=⇑⪆-32434","layer":3},{"info":"⇑⪆100421⊉≛↸⇑⪆-32434=⇑⪆201342","layer":2},{"info":"⇑⪆14310↳≱⇑⪆301134=⇑⪆0","layer":3},{"info":"⇑⪆30342⋕⪉⪜⇑⪆13231=⇑⪆42202","layer":3},{"info":"⇑⪆0⫰⋱⇑⪆42202=⇑⪆113","layer":2},{"info":"⇑⪆201342⪥⇑⪆113=⇑⪆-431","layer":1},{"info":"→⩰⇑⪆221343=NaN","layer":3},{"info":"⇑⪆131031%⇑⪆21103=⇑⪆12212","layer":3},{"info":"NaN⊉↱≁⇑⪆12212=NaN","layer":2},{"info":"⩎⋉NaN=NaN","layer":1},{"info":"⇑⪆-431⫣⪄⊒NaN=⇑⪆1120","layer":0}]}
{"id":145,"expression_no_base_symbol":"(↥($1713$↙$3788$)⊋($1424$↬$4930$))↑","expression":"(↥(⇑⪆23323↙⇑⪆110123)⊋(⇑⪆21144↬⇑⪆124210))↑","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3834,"operation_count":5,"complexity_ratio":766.8,"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":1713,"base":5},"right_expr":{"type":"numeric_atoms","value":3788,"base":5}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1424,"base":5},"right_expr":{"type":"numeric_atoms","value":4930,"base":5}}}}},"used_operators":["BThhyOhh10","A8NUZmVepG","W4tP9CfskL","yyfyN0ffXY","B5M0gjZbta"],"dependent_operators":["i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","k8jYdgA6NY","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1713","layer":4},{"info":"number node, value=3788","layer":4},{"info":"compute binary expreesion, left_input=1713, right_input=3788, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11364","layer":3},{"info":"number node, value=1424","layer":4},{"info":"number node, value=4930","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=4930, 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=-11364, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(↥(⇑⪆23323↙⇑⪆110123)⊋(⇑⪆21144↬⇑⪆124210))↑=NaN","reverse_text":"NaN=(↥(⇑⪆23323↙⇑⪆110123)⊋(⇑⪆21144↬⇑⪆124210))↑","cot":[{"info":"⇑⪆23323↙⇑⪆110123=⇑⪆-330424","layer":3},{"info":"⇑⪆21144↬⇑⪆124210=NaN","layer":3},{"info":"⇑⪆-330424⊋NaN=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"NaN↑=NaN","layer":0}]}
{"id":146,"expression_no_base_symbol":"(⩷⨜⫀(($6255$≥⨤⩑$2969$)⩖⊿($4754$∽$2911$)))+⇶⊼((∥⊫$3848$)↳∿⪆($5321$⨪↰⇹$8028$)⊭↱(⊙↵-$3756$⇂≾⫗$1896$))","expression":"(⩷⨜⫀((⇑⪆200010≥⨤⩑⇑⪆43334)⩖⊿(⇑⪆123004∽⇑⪆43121)))+⇶⊼((∥⊫⇑⪆110343)↳∿⪆(⇑⪆132241⨪↰⇹⇑⪆224103)⊭↱(⊙↵-⇑⪆110011⇂≾⫗⇑⪆30041))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8618,"operation_count":11,"complexity_ratio":783.4545454545455,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":6255,"base":5},"right_expr":{"type":"numeric_atoms","value":2969,"base":5}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":4754,"base":5},"right_expr":{"type":"numeric_atoms","value":2911,"base":5}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3848,"base":5}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5321,"base":5},"right_expr":{"type":"numeric_atoms","value":8028,"base":5}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3756,"base":5},"right_expr":{"type":"numeric_atoms","value":1896,"base":5}}}}},"used_operators":["TpPTUOHfaN","CDi0ktkjQ4","RZ5CV9rWsJ","gJLn6v0xnP","y4ImoPnbV5","COABgblf1C","Cw4SuJJGHO","P8v4zCKN1o","tmPS8pqC7x","oWn0xqSxBt","aBQ6xLxuTc"],"dependent_operators":["AHs5Up7iyr","ruOEQAzv1W","nhYeJWJD5X","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6255","layer":4},{"info":"number node, value=2969","layer":4},{"info":"compute binary expreesion, left_input=6255, right_input=2969, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=4754","layer":4},{"info":"number node, value=2911","layer":4},{"info":"compute binary expreesion, left_input=4754, right_input=2911, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-32325","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-32325, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-263618","layer":2},{"info":"compute unary expreesion, input=-263618, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":1},{"info":"number node, value=3848","layer":4},{"info":"compute unary expreesion, input=3848, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4716","layer":3},{"info":"number node, value=5321","layer":4},{"info":"number node, value=8028","layer":4},{"info":"compute binary expreesion, left_input=5321, right_input=8028, 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=5321","layer":3},{"info":"compute binary expreesion, left_input=4716, right_input=5321, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=3756","layer":4},{"info":"number node, value=1896","layer":4},{"info":"compute binary expreesion, left_input=3756, right_input=1896, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=196, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-766, 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":5,"result_base":5,"text":"(⩷⨜⫀((⇑⪆200010≥⨤⩑⇑⪆43334)⩖⊿(⇑⪆123004∽⇑⪆43121)))+⇶⊼((∥⊫⇑⪆110343)↳∿⪆(⇑⪆132241⨪↰⇹⇑⪆224103)⊭↱(⊙↵-⇑⪆110011⇂≾⫗⇑⪆30041))=NaN","reverse_text":"NaN=(⩷⨜⫀((⇑⪆200010≥⨤⩑⇑⪆43334)⩖⊿(⇑⪆123004∽⇑⪆43121)))+⇶⊼((∥⊫⇑⪆110343)↳∿⪆(⇑⪆132241⨪↰⇹⇑⪆224103)⊭↱(⊙↵-⇑⪆110011⇂≾⫗⇑⪆30041))","cot":[{"info":"⇑⪆200010≥⨤⩑⇑⪆43334=⇑⪆14414","layer":3},{"info":"⇑⪆123004∽⇑⪆43121=⇑⪆-2013300","layer":3},{"info":"⇑⪆14414⩖⊿⇑⪆-2013300=⇑⪆-31413433","layer":2},{"info":"⩷⨜⫀⇑⪆-31413433=⇑⪆-11031","layer":1},{"info":"∥⊫⇑⪆110343=⇑⪆122331","layer":3},{"info":"⇑⪆132241⨪↰⇹⇑⪆224103=⇑⪆132241","layer":3},{"info":"⇑⪆122331↳∿⪆⇑⪆132241=NaN","layer":2},{"info":"⇑⪆110011⇂≾⫗⇑⪆30041=⇑⪆-10201","layer":3},{"info":"⊙↵-⇑⪆-10201=⇑⪆1241","layer":2},{"info":"NaN⊭↱⇑⪆1241=NaN","layer":1},{"info":"⇑⪆-11031+⇶⊼NaN=NaN","layer":0}]}
{"id":147,"expression_no_base_symbol":"(⨰⫟⨤(∓$9604$)≹⇙⪍($2363$⨪↰⇹$2972$))⪘⫢(((≸$1089$)∷$2180$⪎↠$1947$)≧⫂∧(⪛⨧(↘$3866$)))","expression":"(⨰⫟⨤(∓⇑⪆301404)≹⇙⪍(⇑⪆33423⨪↰⇹⇑⪆43342))⪘⫢(((≸⇑⪆13324)∷⇑⪆32210⪎↠⇑⪆30242)≧⫂∧(⪛⨧(↘⇑⪆110431)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2513,"operation_count":11,"complexity_ratio":228.45454545454547,"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":9604,"base":5}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2363,"base":5},"right_expr":{"type":"numeric_atoms","value":2972,"base":5}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1089,"base":5}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2180,"base":5},"right_expr":{"type":"numeric_atoms","value":1947,"base":5}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":3866,"base":5}}}}},"used_operators":["oacrs7FA3X","Tw270M8GLb","AHs5Up7iyr","OwUj7dcsQK","tmPS8pqC7x","Ph9nP6C5qx","D3AQDKkPcf","eOf03JbCpp","3tVxb0NHM4","6NJAcO2OWT","LdNpr8hQHL"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","uFcxV4UQCh"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=9604","layer":4},{"info":"compute unary expreesion, input=9604, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-148932","layer":3},{"info":"number node, value=2363","layer":4},{"info":"number node, value=2972","layer":4},{"info":"compute binary expreesion, left_input=2363, right_input=2972, 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=2363","layer":3},{"info":"compute binary expreesion, left_input=-148932, right_input=2363, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1089","layer":4},{"info":"compute unary expreesion, input=1089, 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=2180","layer":4},{"info":"number node, value=1947","layer":4},{"info":"compute binary expreesion, left_input=2180, right_input=1947, 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=58, right_input=160, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=160","layer":2},{"info":"number node, value=3866","layer":4},{"info":"compute unary expreesion, input=3866, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=338","layer":3},{"info":"compute unary expreesion, input=338, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=2077","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=2077, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1604","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1604, 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":5,"result_base":5,"text":"(⨰⫟⨤(∓⇑⪆301404)≹⇙⪍(⇑⪆33423⨪↰⇹⇑⪆43342))⪘⫢(((≸⇑⪆13324)∷⇑⪆32210⪎↠⇑⪆30242)≧⫂∧(⪛⨧(↘⇑⪆110431)))=NaN","reverse_text":"NaN=(⨰⫟⨤(∓⇑⪆301404)≹⇙⪍(⇑⪆33423⨪↰⇹⇑⪆43342))⪘⫢(((≸⇑⪆13324)∷⇑⪆32210⪎↠⇑⪆30242)≧⫂∧(⪛⨧(↘⇑⪆110431)))","cot":[{"info":"∓⇑⪆301404=⇑⪆-14231212","layer":3},{"info":"⇑⪆33423⨪↰⇹⇑⪆43342=⇑⪆33423","layer":3},{"info":"⇑⪆-14231212≹⇙⪍⇑⪆33423=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"≸⇑⪆13324=⇑⪆213","layer":3},{"info":"⇑⪆32210⪎↠⇑⪆30242=⇑⪆1120","layer":3},{"info":"⇑⪆213∷⇑⪆1120=⇑⪆1120","layer":2},{"info":"↘⇑⪆110431=⇑⪆2323","layer":3},{"info":"⪛⨧⇑⪆2323=⇑⪆31302","layer":2},{"info":"⇑⪆1120≧⫂∧⇑⪆31302=⇑⪆22404","layer":1},{"info":"NaN⪘⫢⇑⪆22404=NaN","layer":0}]}
{"id":148,"expression_no_base_symbol":"($3694$⪚$3381$⋫)⨜⨶(⊥($3396$⊍⩺⋍$3359$))∘((⪡⇡≛($9102$⩨$3541$))⨔≚≋(⨝⨆$5578$)⨪↰⇹($3545$⨳⩥⨓$1085$))","expression":"(⇑⪆104234⪚⇑⪆102011⋫)⨜⨶(⊥(⇑⪆102041⊍⩺⋍⇑⪆101414))∘((⪡⇡≛(⇑⪆242402⩨⇑⪆103131))⨔≚≋(⨝⨆⇑⪆134303)⨪↰⇹(⇑⪆103140⨳⩥⨓⇑⪆13320))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5966,"operation_count":12,"complexity_ratio":497.1666666666667,"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":3694,"base":5},"right_expr":{"type":"numeric_atoms","value":3381,"base":5}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3396,"base":5},"right_expr":{"type":"numeric_atoms","value":3359,"base":5}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":9102,"base":5},"right_expr":{"type":"numeric_atoms","value":3541,"base":5}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":5578,"base":5}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3545,"base":5},"right_expr":{"type":"numeric_atoms","value":1085,"base":5}}}}},"used_operators":["Z5m6OM72h2","HiPekx5b7W","JL8yIekQnl","HrjLwUk87U","Q3PJZHRvZv","OXDGMFPWZM","Z57zeUYC9z","qL4PrbW1Dq","2DlMacCsIx","tmPS8pqC7x","bQ67fsrMVf","nCS4ZIUYfx"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","tmPS8pqC7x","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","fu6greOZ01","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rJVOvQCfKK","tifHPKVTfV","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3694","layer":4},{"info":"number node, value=3381","layer":4},{"info":"compute binary expreesion, left_input=3694, right_input=3381, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=270","layer":3},{"info":"compute unary expreesion, input=270, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=270","layer":2},{"info":"number node, value=3396","layer":4},{"info":"number node, value=3359","layer":4},{"info":"compute binary expreesion, left_input=3396, right_input=3359, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=270, 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=9102","layer":4},{"info":"number node, value=3541","layer":4},{"info":"compute binary expreesion, left_input=9102, right_input=3541, 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 = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=0","layer":2},{"info":"number node, value=5578","layer":4},{"info":"compute unary expreesion, input=5578, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=5369","layer":3},{"info":"number node, value=3545","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=3545, right_input=1085, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2460","layer":3},{"info":"compute binary expreesion, left_input=5369, right_input=-2460, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5369","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=5369, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-45712","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-45712, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆104234⪚⇑⪆102011⋫)⨜⨶(⊥(⇑⪆102041⊍⩺⋍⇑⪆101414))∘((⪡⇡≛(⇑⪆242402⩨⇑⪆103131))⨔≚≋(⨝⨆⇑⪆134303)⨪↰⇹(⇑⪆103140⨳⩥⨓⇑⪆13320))=NaN","reverse_text":"NaN=(⇑⪆104234⪚⇑⪆102011⋫)⨜⨶(⊥(⇑⪆102041⊍⩺⋍⇑⪆101414))∘((⪡⇡≛(⇑⪆242402⩨⇑⪆103131))⨔≚≋(⨝⨆⇑⪆134303)⨪↰⇹(⇑⪆103140⨳⩥⨓⇑⪆13320))","cot":[{"info":"⇑⪆104234⪚⇑⪆102011=⇑⪆2040","layer":3},{"info":"⇑⪆2040⋫=⇑⪆2040","layer":2},{"info":"⇑⪆102041⊍⩺⋍⇑⪆101414=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"⇑⪆2040⨜⨶NaN=NaN","layer":1},{"info":"⇑⪆242402⩨⇑⪆103131=⇑⪆0","layer":3},{"info":"⪡⇡≛⇑⪆0=⇑⪆0","layer":2},{"info":"⨝⨆⇑⪆134303=⇑⪆132434","layer":3},{"info":"⇑⪆103140⨳⩥⨓⇑⪆13320=⇑⪆-34320","layer":3},{"info":"⇑⪆132434⨪↰⇹⇑⪆-34320=⇑⪆132434","layer":2},{"info":"⇑⪆0⨔≚≋⇑⪆132434=⇑⪆-2430322","layer":1},{"info":"NaN∘⇑⪆-2430322=NaN","layer":0}]}
{"id":149,"expression_no_base_symbol":"(($7572$⫯⪬∳$1253$∌↝($3819$⩧⪆$6669$))⊚⫡⫭)⇟⨁⪰","expression":"((⇑⪆220242⫯⪬∳⇑⪆20003∌↝(⇑⪆110234⩧⪆⇑⪆203134))⊚⫡⫭)⇟⨁⪰","highest_n_order":1,"priority_hierarchical_complexity":5,"normalized_expansion_degree":45,"operation_count":5,"complexity_ratio":9.0,"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":7572,"base":5},"right_expr":{"type":"numeric_atoms","value":1253,"base":5}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3819,"base":5},"right_expr":{"type":"numeric_atoms","value":6669,"base":5}}}}},"used_operators":["BX1lVwlMe0","SpZWOsLKZJ","9Isq31Ruls","d7ASUq0ydm","Ikt5ks8PT7"],"dependent_operators":["2DDjHMKMc0","xUOZtlo3hN","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eewbuw0ToL","t8gj7n24qd"],"result":"⇑⪆14123320","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7572","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=7572, right_input=1253, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=36640","layer":3},{"info":"number node, value=3819","layer":4},{"info":"number node, value=6669","layer":4},{"info":"compute binary expreesion, left_input=3819, right_input=6669, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-6669","layer":3},{"info":"compute binary expreesion, left_input=36640, right_input=-6669, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=73280","layer":2},{"info":"compute unary expreesion, input=73280, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-145634","layer":1},{"info":"compute unary expreesion, input=-145634, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=145460","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆220242⫯⪬∳⇑⪆20003∌↝(⇑⪆110234⩧⪆⇑⪆203134))⊚⫡⫭)⇟⨁⪰=⇑⪆14123320","reverse_text":"⇑⪆14123320=((⇑⪆220242⫯⪬∳⇑⪆20003∌↝(⇑⪆110234⩧⪆⇑⪆203134))⊚⫡⫭)⇟⨁⪰","cot":[{"info":"⇑⪆220242⫯⪬∳⇑⪆20003=⇑⪆2133030","layer":3},{"info":"⇑⪆110234⩧⪆⇑⪆203134=⇑⪆-203134","layer":3},{"info":"⇑⪆2133030∌↝⇑⪆-203134=⇑⪆4321110","layer":2},{"info":"⇑⪆4321110⊚⫡⫭=⇑⪆-14130014","layer":1},{"info":"⇑⪆-14130014⇟⨁⪰=⇑⪆14123320","layer":0}]}
{"id":150,"expression_no_base_symbol":"(⊤⊝(⫛⫱⨽($4805$⫔⩽⩺$6818$)))⨽⪊≇","expression":"(⊤⊝(⫛⫱⨽(⇑⪆123210⫔⩽⩺⇑⪆204233)))⨽⪊≇","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":956,"operation_count":4,"complexity_ratio":239.0,"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":4805,"base":5},"right_expr":{"type":"numeric_atoms","value":6818,"base":5}}}}},"used_operators":["nlCqmYiOvY","rXAclfmB4M","DlLNRPXxWL","i9eR4S00cU"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","sdazOOVcIp","rGHVDoGpnC","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=4805","layer":4},{"info":"number node, value=6818","layer":4},{"info":"compute binary expreesion, left_input=4805, right_input=6818, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⊤⊝(⫛⫱⨽(⇑⪆123210⫔⩽⩺⇑⪆204233)))⨽⪊≇=NaN","reverse_text":"NaN=(⊤⊝(⫛⫱⨽(⇑⪆123210⫔⩽⩺⇑⪆204233)))⨽⪊≇","cot":[{"info":"⇑⪆123210⫔⩽⩺⇑⪆204233=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⊤⊝NaN=NaN","layer":1},{"info":"NaN⨽⪊≇=NaN","layer":0}]}
{"id":151,"expression_no_base_symbol":"↩⪖((∥⊫(⊄⩳↩$4600$))∪⫐(⊢≑≆($1418$⋭≵$2955$)))","expression":"↩⪖((∥⊫(⊄⩳↩⇑⪆121400))∪⫐(⊢≑≆(⇑⪆21133⋭≵⇑⪆43310)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":96,"operation_count":6,"complexity_ratio":16.0,"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":4600,"base":5}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1418,"base":5},"right_expr":{"type":"numeric_atoms","value":2955,"base":5}}}}},"used_operators":["fG6uBQFnGz","7YooWSwCyH","P8v4zCKN1o","8w2t5hMYqp","27wFxooxGf","jBncVCNhdl"],"dependent_operators":["rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"⇑⪆-42022","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4600","layer":4},{"info":"compute unary expreesion, input=4600, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-13800","layer":3},{"info":"compute unary expreesion, input=-13800, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"number node, value=1418","layer":4},{"info":"number node, value=2955","layer":4},{"info":"compute binary expreesion, left_input=1418, right_input=2955, 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 = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=59","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=59, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-55","layer":1},{"info":"compute unary expreesion, input=-55, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-2762","layer":0}],"base":5,"result_base":5,"text":"↩⪖((∥⊫(⊄⩳↩⇑⪆121400))∪⫐(⊢≑≆(⇑⪆21133⋭≵⇑⪆43310)))=⇑⪆-42022","reverse_text":"⇑⪆-42022=↩⪖((∥⊫(⊄⩳↩⇑⪆121400))∪⫐(⊢≑≆(⇑⪆21133⋭≵⇑⪆43310)))","cot":[{"info":"⊄⩳↩⇑⪆121400=⇑⪆-420200","layer":3},{"info":"∥⊫⇑⪆-420200=⇑⪆-210","layer":2},{"info":"⇑⪆21133⋭≵⇑⪆43310=⇑⪆232","layer":3},{"info":"⊢≑≆⇑⪆232=⇑⪆214","layer":2},{"info":"⇑⪆-210∪⫐⇑⪆214=⇑⪆-210","layer":1},{"info":"↩⪖⇑⪆-210=⇑⪆-42022","layer":0}]}
{"id":152,"expression_no_base_symbol":"($1819$⫦⪉$7773$)⩦($3006$⨵⪆$1978$)⪛($8215$⪠⩆⊳)⊮⊟↴($2600$∩⋅)∕⩚($4652$∠↢$5343$)≴⪞⇿($1477$⫁⪎$4233$)⪕(⊗($3751$≓∲$1112$))","expression":"(⇑⪆24234⫦⪉⇑⪆222043)⩦(⇑⪆44011⨵⪆⇑⪆30403)⪛(⇑⪆230330⪠⩆⊳)⊮⊟↴(⇑⪆40400∩⋅)∕⩚(⇑⪆122102∠↢⇑⪆132333)≴⪞⇿(⇑⪆21402⫁⪎⇑⪆113413)⪕(⊗(⇑⪆110001≓∲⇑⪆13422))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2785,"operation_count":14,"complexity_ratio":198.92857142857142,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1819,"base":5},"right_expr":{"type":"numeric_atoms","value":7773,"base":5}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3006,"base":5},"right_expr":{"type":"numeric_atoms","value":1978,"base":5}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":8215,"base":5}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":2600,"base":5}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4652,"base":5},"right_expr":{"type":"numeric_atoms","value":5343,"base":5}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1477,"base":5},"right_expr":{"type":"numeric_atoms","value":4233,"base":5}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3751,"base":5},"right_expr":{"type":"numeric_atoms","value":1112,"base":5}}}}},"used_operators":["z9ffQ9n5Zr","uFcxV4UQCh","0kmYd0q39Y","wscyQdcy20","2DQ55sFlQl","QDVgd2eftb","JLbD19bQDL","2MzE1hQ0cz","umQnsF7QlU","lvlrscuwVU","KbjG8mgYpV","xRrnTEsQ6j","RhiyfpczSx","s1XTVnmDOJ"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"⇑⪆-40102","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1819","layer":4},{"info":"number node, value=7773","layer":4},{"info":"compute binary expreesion, left_input=1819, right_input=7773, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1262","layer":3},{"info":"number node, value=3006","layer":4},{"info":"number node, value=1978","layer":4},{"info":"compute binary expreesion, left_input=3006, right_input=1978, 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=1262, right_input=160, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2524","layer":2},{"info":"number node, value=8215","layer":4},{"info":"compute unary expreesion, input=8215, 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=2600","layer":4},{"info":"compute unary expreesion, input=2600, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-2479","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2479, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=109801","layer":2},{"info":"compute binary expreesion, left_input=2524, right_input=109801, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2524","layer":1},{"info":"number node, value=4652","layer":4},{"info":"number node, value=5343","layer":4},{"info":"compute binary expreesion, left_input=4652, right_input=5343, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-92328","layer":3},{"info":"number node, value=1477","layer":4},{"info":"number node, value=4233","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=4233, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2756","layer":3},{"info":"compute binary expreesion, left_input=-92328, right_input=-2756, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-1145211","layer":2},{"info":"number node, value=3751","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=3751, right_input=1112, 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=38293","layer":3},{"info":"compute unary expreesion, input=38293, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-76586","layer":2},{"info":"compute binary expreesion, left_input=-1145211, right_input=-76586, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"compute binary expreesion, left_input=2524, right_input=935, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2527","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆24234⫦⪉⇑⪆222043)⩦(⇑⪆44011⨵⪆⇑⪆30403)⪛(⇑⪆230330⪠⩆⊳)⊮⊟↴(⇑⪆40400∩⋅)∕⩚(⇑⪆122102∠↢⇑⪆132333)≴⪞⇿(⇑⪆21402⫁⪎⇑⪆113413)⪕(⊗(⇑⪆110001≓∲⇑⪆13422))=⇑⪆-40102","reverse_text":"⇑⪆-40102=(⇑⪆24234⫦⪉⇑⪆222043)⩦(⇑⪆44011⨵⪆⇑⪆30403)⪛(⇑⪆230330⪠⩆⊳)⊮⊟↴(⇑⪆40400∩⋅)∕⩚(⇑⪆122102∠↢⇑⪆132333)≴⪞⇿(⇑⪆21402⫁⪎⇑⪆113413)⪕(⊗(⇑⪆110001≓∲⇑⪆13422))","cot":[{"info":"⇑⪆24234⫦⪉⇑⪆222043=⇑⪆20022","layer":3},{"info":"⇑⪆44011⨵⪆⇑⪆30403=⇑⪆1120","layer":3},{"info":"⇑⪆20022⩦⇑⪆1120=⇑⪆40044","layer":2},{"info":"⇑⪆230330⪠⩆⊳=⇑⪆0","layer":3},{"info":"⇑⪆40400∩⋅=⇑⪆-34404","layer":3},{"info":"⇑⪆0⊮⊟↴⇑⪆-34404=⇑⪆12003201","layer":2},{"info":"⇑⪆40044⪛⇑⪆12003201=⇑⪆40044","layer":1},{"info":"⇑⪆122102∠↢⇑⪆132333=⇑⪆-10423303","layer":3},{"info":"⇑⪆21402⫁⪎⇑⪆113413=⇑⪆-42011","layer":3},{"info":"⇑⪆-10423303≴⪞⇿⇑⪆-42011=⇑⪆-243121321","layer":2},{"info":"⇑⪆110001≓∲⇑⪆13422=⇑⪆2211133","layer":3},{"info":"⊗⇑⪆2211133=⇑⪆-4422321","layer":2},{"info":"⇑⪆-243121321⪕⇑⪆-4422321=⇑⪆12220","layer":1},{"info":"⇑⪆40044∕⩚⇑⪆12220=⇑⪆-40102","layer":0}]}
{"id":153,"expression_no_base_symbol":"⩎⋉((($1728$∙∹∝$4420$)⩅⪻⪻)⨸⪁(⊵⊁$5746$)⨿($5030$⫸⊐$1265$))","expression":"⩎⋉(((⇑⪆23403∙∹∝⇑⪆120140)⩅⪻⪻)⨸⪁(⊵⊁⇑⪆140441)⨿(⇑⪆130110⫸⊐⇑⪆20030))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":399,"operation_count":7,"complexity_ratio":57.0,"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":1728,"base":5},"right_expr":{"type":"numeric_atoms","value":4420,"base":5}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":5746,"base":5}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5030,"base":5},"right_expr":{"type":"numeric_atoms","value":1265,"base":5}}}}},"used_operators":["FlXk3pOYe8","g55IO6H4Gj","kHoXpA7yos","HmxsFra2vL","abYXlopdE0","AvED76WdY7","mqXw5SEYmG"],"dependent_operators":["KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","W4YGzv6Whe","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","uBihLCJcMX","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⇑⪆202042","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1728","layer":4},{"info":"number node, value=4420","layer":4},{"info":"compute binary expreesion, left_input=1728, right_input=4420, 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 = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=575","layer":2},{"info":"number node, value=5746","layer":4},{"info":"compute unary expreesion, input=5746, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=33406","layer":3},{"info":"number node, value=5030","layer":4},{"info":"number node, value=1265","layer":4},{"info":"compute binary expreesion, left_input=5030, right_input=1265, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4935","layer":3},{"info":"compute binary expreesion, left_input=33406, right_input=4935, 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=575, right_input=-319, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=512","layer":1},{"info":"compute unary expreesion, input=512, 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=6522","layer":0}],"base":5,"result_base":5,"text":"⩎⋉(((⇑⪆23403∙∹∝⇑⪆120140)⩅⪻⪻)⨸⪁(⊵⊁⇑⪆140441)⨿(⇑⪆130110⫸⊐⇑⪆20030))=⇑⪆202042","reverse_text":"⇑⪆202042=⩎⋉(((⇑⪆23403∙∹∝⇑⪆120140)⩅⪻⪻)⨸⪁(⊵⊁⇑⪆140441)⨿(⇑⪆130110⫸⊐⇑⪆20030))","cot":[{"info":"⇑⪆23403∙∹∝⇑⪆120140=⇑⪆0","layer":3},{"info":"⇑⪆0⩅⪻⪻=⇑⪆4300","layer":2},{"info":"⊵⊁⇑⪆140441=⇑⪆2032111","layer":3},{"info":"⇑⪆130110⫸⊐⇑⪆20030=⇑⪆124220","layer":3},{"info":"⇑⪆2032111⨿⇑⪆124220=⇑⪆-2234","layer":2},{"info":"⇑⪆4300⨸⪁⇑⪆-2234=⇑⪆4022","layer":1},{"info":"⩎⋉⇑⪆4022=⇑⪆202042","layer":0}]}
{"id":154,"expression_no_base_symbol":"$2025$⊴$1941$⇣⩺⋵($2540$≒∊$1710$)%$1817$⫉⨲⊜$3925$⪥($2443$⪭$1377$)∕⩚($6047$⫚⫇)≦↸($1666$⊹≧⊝)⊝⪿⪼($1931$∺≝⩲$4298$⫦⪉$2038$⊕∕$1143$)","expression":"⇑⪆31100⊴⇑⪆30231⇣⩺⋵(⇑⪆40130≒∊⇑⪆23320)%⇑⪆24232⫉⨲⊜⇑⪆111200⪥(⇑⪆34233⪭⇑⪆21002)∕⩚(⇑⪆143142⫚⫇)≦↸(⇑⪆23131⊹≧⊝)⊝⪿⪼(⇑⪆30211∺≝⩲⇑⪆114143⫦⪉⇑⪆31123⊕∕⇑⪆14033)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2444,"operation_count":15,"complexity_ratio":162.93333333333334,"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":2025,"base":5},"right_expr":{"type":"numeric_atoms","value":1941,"base":5}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2540,"base":5},"right_expr":{"type":"numeric_atoms","value":1710,"base":5}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1817,"base":5},"right_expr":{"type":"numeric_atoms","value":3925,"base":5}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2443,"base":5},"right_expr":{"type":"numeric_atoms","value":1377,"base":5}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"numeric_atoms","value":6047,"base":5}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":1666,"base":5}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1931,"base":5},"right_expr":{"type":"numeric_atoms","value":4298,"base":5}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2038,"base":5},"right_expr":{"type":"numeric_atoms","value":1143,"base":5}}}}},"used_operators":["z9ffQ9n5Zr","k8jYdgA6NY","F4yD0voBRQ","Nsiff2A1zJ","5KTvxBwnZo","QbnwKVWMIQ","WhqkvtTD3t","j9kHMeSvPp","3Oe9XWJUTD","RygbFNSyEJ","SdCjLnB6rR","LxFB4K6j0n","wscyQdcy20","KPf6cnQVty","9cloC0Ngie"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eewbuw0ToL","zVYPLywUTj","COABgblf1C","xUOZtlo3hN","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"⇑⪆-3422","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2025","layer":4},{"info":"number node, value=1941","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=1941, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2540","layer":4},{"info":"number node, value=1710","layer":4},{"info":"compute binary expreesion, left_input=2540, right_input=1710, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2056","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2056, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=1817","layer":4},{"info":"number node, value=3925","layer":4},{"info":"compute binary expreesion, left_input=1817, right_input=3925, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=2443","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=2443, right_input=1377, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5, op_id = 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=-260, right_input=-1798, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-260","layer":1},{"info":"number node, value=6047","layer":4},{"info":"compute unary expreesion, input=6047, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=10626","layer":3},{"info":"number node, value=1666","layer":4},{"info":"compute unary expreesion, input=1666, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-6664","layer":3},{"info":"compute binary expreesion, left_input=10626, right_input=-6664, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-9945","layer":2},{"info":"number node, value=1931","layer":4},{"info":"number node, value=4298","layer":4},{"info":"compute binary expreesion, left_input=1931, right_input=4298, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=2038","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=2038, right_input=1143, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2038","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2038, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4580","layer":2},{"info":"compute binary expreesion, left_input=-9945, right_input=4580, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-139243","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=-139243, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":5,"result_base":5,"text":"⇑⪆31100⊴⇑⪆30231⇣⩺⋵(⇑⪆40130≒∊⇑⪆23320)%⇑⪆24232⫉⨲⊜⇑⪆111200⪥(⇑⪆34233⪭⇑⪆21002)∕⩚(⇑⪆143142⫚⫇)≦↸(⇑⪆23131⊹≧⊝)⊝⪿⪼(⇑⪆30211∺≝⩲⇑⪆114143⫦⪉⇑⪆31123⊕∕⇑⪆14033)=⇑⪆-3422","reverse_text":"⇑⪆-3422=⇑⪆31100⊴⇑⪆30231⇣⩺⋵(⇑⪆40130≒∊⇑⪆23320)%⇑⪆24232⫉⨲⊜⇑⪆111200⪥(⇑⪆34233⪭⇑⪆21002)∕⩚(⇑⪆143142⫚⫇)≦↸(⇑⪆23131⊹≧⊝)⊝⪿⪼(⇑⪆30211∺≝⩲⇑⪆114143⫦⪉⇑⪆31123⊕∕⇑⪆14033)","cot":[{"info":"⇑⪆31100⊴⇑⪆30231=NaN","layer":3},{"info":"⇑⪆40130≒∊⇑⪆23320=⇑⪆-31211","layer":3},{"info":"NaN⇣⩺⋵⇑⪆-31211=⇑⪆-2020","layer":2},{"info":"⇑⪆24232⫉⨲⊜⇑⪆111200=⇑⪆0","layer":3},{"info":"⇑⪆34233⪭⇑⪆21002=⇑⪆10","layer":3},{"info":"⇑⪆0⪥⇑⪆10=⇑⪆-24143","layer":2},{"info":"⇑⪆-2020%⇑⪆-24143=⇑⪆-2020","layer":1},{"info":"⇑⪆143142⫚⫇=⇑⪆320001","layer":3},{"info":"⇑⪆23131⊹≧⊝=⇑⪆-203124","layer":3},{"info":"⇑⪆320001≦↸⇑⪆-203124=⇑⪆-304240","layer":2},{"info":"⇑⪆30211∺≝⩲⇑⪆114143=⇑⪆1120","layer":3},{"info":"⇑⪆31123⊕∕⇑⪆14033=⇑⪆31123","layer":3},{"info":"⇑⪆1120⫦⪉⇑⪆31123=⇑⪆121310","layer":2},{"info":"⇑⪆-304240⊝⪿⪼⇑⪆121310=⇑⪆-13423433","layer":1},{"info":"⇑⪆-2020∕⩚⇑⪆-13423433=⇑⪆-3422","layer":0}]}
{"id":155,"expression_no_base_symbol":"(⊬↢($3129$⨵⪆$2298$))∳⫺(($3126$∙⊟$4916$)⋭≵$1047$⨐$6791$)⊹≧⊝","expression":"(⊬↢(⇑⪆100004⨵⪆⇑⪆33143))∳⫺((⇑⪆100001∙⊟⇑⪆124131)⋭≵⇑⪆13142⨐⇑⪆204131)⊹≧⊝","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3528,"operation_count":7,"complexity_ratio":504.0,"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":3129,"base":5},"right_expr":{"type":"numeric_atoms","value":2298,"base":5}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3126,"base":5},"right_expr":{"type":"numeric_atoms","value":4916,"base":5}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1047,"base":5},"right_expr":{"type":"numeric_atoms","value":6791,"base":5}}}}},"used_operators":["LxFB4K6j0n","AzXXKTstlj","WPoGxAaPR1","2DQ55sFlQl","jBncVCNhdl","SxTAKzQCrw","Noe24qw2ks"],"dependent_operators":["NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"⇑⪆1142240","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3129","layer":4},{"info":"number node, value=2298","layer":4},{"info":"compute binary expreesion, left_input=3129, right_input=2298, 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 = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-664","layer":2},{"info":"number node, value=3126","layer":4},{"info":"number node, value=4916","layer":4},{"info":"compute binary expreesion, left_input=3126, right_input=4916, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=50484","layer":3},{"info":"number node, value=1047","layer":4},{"info":"number node, value=6791","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=6791, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2094","layer":3},{"info":"compute binary expreesion, left_input=50484, right_input=-2094, 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=-664, right_input=67, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-2728","layer":1},{"info":"compute unary expreesion, input=-2728, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=21570","layer":0}],"base":5,"result_base":5,"text":"(⊬↢(⇑⪆100004⨵⪆⇑⪆33143))∳⫺((⇑⪆100001∙⊟⇑⪆124131)⋭≵⇑⪆13142⨐⇑⪆204131)⊹≧⊝=⇑⪆1142240","reverse_text":"⇑⪆1142240=(⊬↢(⇑⪆100004⨵⪆⇑⪆33143))∳⫺((⇑⪆100001∙⊟⇑⪆124131)⋭≵⇑⪆13142⨐⇑⪆204131)⊹≧⊝","cot":[{"info":"⇑⪆100004⨵⪆⇑⪆33143=⇑⪆1120","layer":3},{"info":"⊬↢⇑⪆1120=⇑⪆-10124","layer":2},{"info":"⇑⪆100001∙⊟⇑⪆124131=⇑⪆3103414","layer":3},{"info":"⇑⪆13142⨐⇑⪆204131=⇑⪆-31334","layer":3},{"info":"⇑⪆3103414⋭≵⇑⪆-31334=⇑⪆232","layer":2},{"info":"⇑⪆-10124∳⫺⇑⪆232=⇑⪆-41403","layer":1},{"info":"⇑⪆-41403⊹≧⊝=⇑⪆1142240","layer":0}]}
{"id":156,"expression_no_base_symbol":"≪(($3262$↳∿⪆$4005$)⨜⨶(∨∊⋏$6332$))⨂≜((⫟$6576$)⇌⫙⪟(⨞⊢$8473$))","expression":"≪((⇑⪆101022↳∿⪆⇑⪆112010)⨜⨶(∨∊⋏⇑⪆200312))⨂≜((⫟⇑⪆202301)⇌⫙⪟(⨞⊢⇑⪆232343))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2674,"operation_count":8,"complexity_ratio":334.25,"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":3262,"base":5},"right_expr":{"type":"numeric_atoms","value":4005,"base":5}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":6332,"base":5}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":6576,"base":5}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":8473,"base":5}}}}},"used_operators":["Qtd6bqUJcN","k1SHOSEABc","HiPekx5b7W","Cw4SuJJGHO","R5aXW34M0v","AFVx7xoS7T","z4E1FaHLuy","xUOZtlo3hN"],"dependent_operators":["3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆12123","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3262","layer":4},{"info":"number node, value=4005","layer":4},{"info":"compute binary expreesion, left_input=3262, right_input=4005, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=6332","layer":4},{"info":"compute unary expreesion, input=6332, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=138767","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=138767, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":2},{"info":"number node, value=6576","layer":4},{"info":"compute unary expreesion, input=6576, 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=-18821","layer":3},{"info":"number node, value=8473","layer":4},{"info":"compute unary expreesion, input=8473, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-8647","layer":3},{"info":"compute binary expreesion, left_input=-18821, right_input=-8647, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=80913","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=80913, 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 = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":0}],"base":5,"result_base":5,"text":"≪((⇑⪆101022↳∿⪆⇑⪆112010)⨜⨶(∨∊⋏⇑⪆200312))⨂≜((⫟⇑⪆202301)⇌⫙⪟(⨞⊢⇑⪆232343))=⇑⪆12123","reverse_text":"⇑⪆12123=≪((⇑⪆101022↳∿⪆⇑⪆112010)⨜⨶(∨∊⋏⇑⪆200312))⨂≜((⫟⇑⪆202301)⇌⫙⪟(⨞⊢⇑⪆232343))","cot":[{"info":"⇑⪆101022↳∿⪆⇑⪆112010=NaN","layer":3},{"info":"∨∊⋏⇑⪆200312=⇑⪆13420032","layer":3},{"info":"NaN⨜⨶⇑⪆13420032=NaN","layer":2},{"info":"⫟⇑⪆202301=⇑⪆-1100241","layer":3},{"info":"⨞⊢⇑⪆232343=⇑⪆-234042","layer":3},{"info":"⇑⪆-1100241⇌⫙⪟⇑⪆-234042=⇑⪆10042123","layer":2},{"info":"NaN⨂≜⇑⪆10042123=NaN","layer":1},{"info":"≪NaN=⇑⪆12123","layer":0}]}
{"id":157,"expression_no_base_symbol":"($1793$⨸$3144$⋓$8685$⨔⇊$1842$⊍⩺⋍$2756$⨂≜$2343$⪟⇏(≪$8070$))↢((($4091$⋹⋡⊁$6300$)⨕⋳)⇷(⊄⩳↩$1629$)≄⊠$1273$∼$1492$)","expression":"(⇑⪆24133⨸⇑⪆100034⋓⇑⪆234220⨔⇊⇑⪆24332⊍⩺⋍⇑⪆42011⨂≜⇑⪆33333⪟⇏(≪⇑⪆224240))↢(((⇑⪆112331⋹⋡⊁⇑⪆200200)⨕⋳)⇷(⊄⩳↩⇑⪆23004)≄⊠⇑⪆20043∼⇑⪆21432)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":67739,"operation_count":14,"complexity_ratio":4838.5,"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":1793,"base":5},"right_expr":{"type":"numeric_atoms","value":3144,"base":5}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":8685,"base":5},"right_expr":{"type":"numeric_atoms","value":1842,"base":5}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2756,"base":5},"right_expr":{"type":"numeric_atoms","value":2343,"base":5}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":8070,"base":5}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4091,"base":5},"right_expr":{"type":"numeric_atoms","value":6300,"base":5}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1629,"base":5}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1273,"base":5},"right_expr":{"type":"numeric_atoms","value":1492,"base":5}}}}},"used_operators":["WR6HLWljOP","OXDGMFPWZM","T2fj7uvVaJ","KmoU8R5UQR","JclMnS0uGI","GODebY97qR","k1SHOSEABc","Qtd6bqUJcN","mp7IySMOzn","4X4GscPmMf","As8RqfVLgs","vXNesLlMH1","8w2t5hMYqp","DyGG3AbaNP"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1793","layer":4},{"info":"number node, value=3144","layer":4},{"info":"compute binary expreesion, left_input=1793, right_input=3144, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3586","layer":3},{"info":"number node, value=8685","layer":4},{"info":"number node, value=1842","layer":4},{"info":"compute binary expreesion, left_input=8685, right_input=1842, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1842","layer":3},{"info":"compute binary expreesion, left_input=3586, right_input=1842, 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=2756","layer":4},{"info":"number node, value=2343","layer":4},{"info":"compute binary expreesion, left_input=2756, right_input=2343, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=8070","layer":4},{"info":"compute unary expreesion, input=8070, 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 = 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=0, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=4091","layer":4},{"info":"number node, value=6300","layer":4},{"info":"compute binary expreesion, left_input=4091, right_input=6300, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=7050","layer":3},{"info":"compute unary expreesion, input=7050, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=540028","layer":2},{"info":"number node, value=1629","layer":4},{"info":"compute unary expreesion, input=1629, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4887","layer":3},{"info":"number node, value=1273","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=1492, 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=-4887, 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=540028, right_input=1500, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3000","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3000, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆24133⨸⇑⪆100034⋓⇑⪆234220⨔⇊⇑⪆24332⊍⩺⋍⇑⪆42011⨂≜⇑⪆33333⪟⇏(≪⇑⪆224240))↢(((⇑⪆112331⋹⋡⊁⇑⪆200200)⨕⋳)⇷(⊄⩳↩⇑⪆23004)≄⊠⇑⪆20043∼⇑⪆21432)=NaN","reverse_text":"NaN=(⇑⪆24133⨸⇑⪆100034⋓⇑⪆234220⨔⇊⇑⪆24332⊍⩺⋍⇑⪆42011⨂≜⇑⪆33333⪟⇏(≪⇑⪆224240))↢(((⇑⪆112331⋹⋡⊁⇑⪆200200)⨕⋳)⇷(⊄⩳↩⇑⪆23004)≄⊠⇑⪆20043∼⇑⪆21432)","cot":[{"info":"⇑⪆24133⨸⇑⪆100034=⇑⪆103321","layer":3},{"info":"⇑⪆234220⨔⇊⇑⪆24332=⇑⪆24332","layer":3},{"info":"⇑⪆103321⋓⇑⪆24332=⇑⪆0","layer":2},{"info":"⇑⪆42011⨂≜⇑⪆33333=NaN","layer":3},{"info":"≪⇑⪆224240=⇑⪆12123","layer":3},{"info":"NaN⪟⇏⇑⪆12123=NaN","layer":2},{"info":"⇑⪆0⊍⩺⋍NaN=NaN","layer":1},{"info":"⇑⪆112331⋹⋡⊁⇑⪆200200=⇑⪆211200","layer":3},{"info":"⇑⪆211200⨕⋳=⇑⪆114240103","layer":2},{"info":"⊄⩳↩⇑⪆23004=⇑⪆-124022","layer":3},{"info":"⇑⪆20043∼⇑⪆21432=NaN","layer":3},{"info":"⇑⪆-124022≄⊠NaN=⇑⪆22000","layer":2},{"info":"⇑⪆114240103⇷⇑⪆22000=⇑⪆44000","layer":1},{"info":"NaN↢⇑⪆44000=NaN","layer":0}]}
{"id":158,"expression_no_base_symbol":"(↽≂(↩($5127$⫭)))∖((∤↝$1824$⇤$2025$)⫠↝⫳)","expression":"(↽≂(↩(⇑⪆131002⫭)))∖((∤↝⇑⪆24244⇤⇑⪆31100)⫠↝⫳)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":255,"operation_count":7,"complexity_ratio":36.42857142857143,"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":5127,"base":5}}}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1824,"base":5},"right_expr":{"type":"numeric_atoms","value":2025,"base":5}}}}},"used_operators":["tXD093vOjl","u6S6b8DprG","jLgFTUHLKL","t4WUHVGj7f","8n5YIzOsVS","3UMq87Qwqg","YSKBFp38Pu"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5127","layer":4},{"info":"compute unary expreesion, input=5127, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=15622","layer":3},{"info":"compute unary expreesion, input=15622, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-122196","layer":2},{"info":"compute unary expreesion, input=-122196, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=244392","layer":1},{"info":"number node, value=1824","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=1824, right_input=2025, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-16397","layer":3},{"info":"compute unary expreesion, input=-16397, 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=-16397","layer":2},{"info":"compute unary expreesion, input=-16397, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-524081","layer":1},{"info":"compute binary expreesion, left_input=244392, right_input=-524081, 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":5,"result_base":5,"text":"(↽≂(↩(⇑⪆131002⫭)))∖((∤↝⇑⪆24244⇤⇑⪆31100)⫠↝⫳)=⇑⪆0","reverse_text":"⇑⪆0=(↽≂(↩(⇑⪆131002⫭)))∖((∤↝⇑⪆24244⇤⇑⪆31100)⫠↝⫳)","cot":[{"info":"⇑⪆131002⫭=⇑⪆444442","layer":3},{"info":"↩⇑⪆444442=⇑⪆-12402241","layer":2},{"info":"↽≂⇑⪆-12402241=⇑⪆30310032","layer":1},{"info":"⇑⪆24244⇤⇑⪆31100=⇑⪆-1011042","layer":3},{"info":"∤↝⇑⪆-1011042=⇑⪆-1011042","layer":2},{"info":"⇑⪆-1011042⫠↝⫳=⇑⪆-113232311","layer":1},{"info":"⇑⪆30310032∖⇑⪆-113232311=⇑⪆0","layer":0}]}
{"id":159,"expression_no_base_symbol":"⇾⩊⇾(($1747$⨐⩸⫘$5713$)⇴($2253$⫲≸⪮$6187$)⫸⇳(⇋⊎⋝$1121$)≄⊠$3488$⊔$7544$)","expression":"⇾⩊⇾((⇑⪆23442⨐⩸⫘⇑⪆140323)⇴(⇑⪆33003⫲≸⪮⇑⪆144222)⫸⇳(⇋⊎⋝⇑⪆13441)≄⊠⇑⪆102423⊔⇑⪆220134)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3487,"operation_count":8,"complexity_ratio":435.875,"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":1747,"base":5},"right_expr":{"type":"numeric_atoms","value":5713,"base":5}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2253,"base":5},"right_expr":{"type":"numeric_atoms","value":6187,"base":5}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1121,"base":5}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3488,"base":5},"right_expr":{"type":"numeric_atoms","value":7544,"base":5}}}}},"used_operators":["bx9Z9DAK5y","gx7XJ7hdpj","4JB6nKBMSY","fu6greOZ01","P3lXMJvFrc","vXNesLlMH1","CzM2PEoXns","E4l6HwMY31"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","NTOWxs364D","COABgblf1C","3ViojmjbAp","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","dWAJyo7jo9","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1747","layer":4},{"info":"number node, value=5713","layer":4},{"info":"compute binary expreesion, left_input=1747, right_input=5713, 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=2253","layer":4},{"info":"number node, value=6187","layer":4},{"info":"compute binary expreesion, left_input=2253, right_input=6187, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2253","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2253, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"number node, value=1121","layer":4},{"info":"compute unary expreesion, input=1121, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=3488","layer":4},{"info":"number node, value=7544","layer":4},{"info":"compute binary expreesion, left_input=3488, right_input=7544, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=42296","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=42296, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=681404","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=681404, 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 = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⇾⩊⇾((⇑⪆23442⨐⩸⫘⇑⪆140323)⇴(⇑⪆33003⫲≸⪮⇑⪆144222)⫸⇳(⇋⊎⋝⇑⪆13441)≄⊠⇑⪆102423⊔⇑⪆220134)=NaN","reverse_text":"NaN=⇾⩊⇾((⇑⪆23442⨐⩸⫘⇑⪆140323)⇴(⇑⪆33003⫲≸⪮⇑⪆144222)⫸⇳(⇋⊎⋝⇑⪆13441)≄⊠⇑⪆102423⊔⇑⪆220134)","cot":[{"info":"⇑⪆23442⨐⩸⫘⇑⪆140323=NaN","layer":3},{"info":"⇑⪆33003⫲≸⪮⇑⪆144222=⇑⪆33003","layer":3},{"info":"NaN⇴⇑⪆33003=NaN","layer":2},{"info":"⇋⊎⋝⇑⪆13441=NaN","layer":3},{"info":"⇑⪆102423⊔⇑⪆220134=⇑⪆2323141","layer":3},{"info":"NaN≄⊠⇑⪆2323141=⇑⪆133301104","layer":2},{"info":"NaN⫸⇳⇑⪆133301104=NaN","layer":1},{"info":"⇾⩊⇾NaN=NaN","layer":0}]}
{"id":160,"expression_no_base_symbol":"(($5665$↱$7006$)↙$1028$≭$1104$)⪝($1923$⋳⪒$3714$≓∲$7010$⪮%⊝$1001$)⇀∌","expression":"((⇑⪆140130↱⇑⪆211011)↙⇑⪆13103≭⇑⪆13404)⪝(⇑⪆30143⋳⪒⇑⪆104324≓∲⇑⪆211020⪮%⊝⇑⪆13001)⇀∌","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4599,"operation_count":8,"complexity_ratio":574.875,"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":5665,"base":5},"right_expr":{"type":"numeric_atoms","value":7006,"base":5}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1028,"base":5},"right_expr":{"type":"numeric_atoms","value":1104,"base":5}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1923,"base":5},"right_expr":{"type":"numeric_atoms","value":3714,"base":5}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7010,"base":5},"right_expr":{"type":"numeric_atoms","value":1001,"base":5}}}}},"used_operators":["2k53nXOpI5","wicAB68Tmb","yyfyN0ffXY","SR5kFfdi6N","rxpJgHHUmx","s1XTVnmDOJ","12rbrZMWeM","IWmyXbctLI"],"dependent_operators":["Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","AHs5Up7iyr","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⇑⪆423","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5665","layer":4},{"info":"number node, value=7006","layer":4},{"info":"compute binary expreesion, left_input=5665, right_input=7006, 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=-20496","layer":3},{"info":"number node, value=1028","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=1104, 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=-20496, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-20496","layer":2},{"info":"number node, value=1923","layer":4},{"info":"number node, value=3714","layer":4},{"info":"compute binary expreesion, left_input=1923, right_input=3714, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-155","layer":3},{"info":"number node, value=7010","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=7010, right_input=1001, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14336","layer":3},{"info":"compute binary expreesion, left_input=-155, right_input=14336, 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=-20496, right_input=67, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-203525","layer":1},{"info":"compute unary expreesion, input=-203525, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆140130↱⇑⪆211011)↙⇑⪆13103≭⇑⪆13404)⪝(⇑⪆30143⋳⪒⇑⪆104324≓∲⇑⪆211020⪮%⊝⇑⪆13001)⇀∌=⇑⪆423","reverse_text":"⇑⪆423=((⇑⪆140130↱⇑⪆211011)↙⇑⪆13103≭⇑⪆13404)⪝(⇑⪆30143⋳⪒⇑⪆104324≓∲⇑⪆211020⪮%⊝⇑⪆13001)⇀∌","cot":[{"info":"⇑⪆140130↱⇑⪆211011=⇑⪆-1123441","layer":3},{"info":"⇑⪆13103≭⇑⪆13404=NaN","layer":3},{"info":"⇑⪆-1123441↙NaN=⇑⪆-1123441","layer":2},{"info":"⇑⪆30143⋳⪒⇑⪆104324=⇑⪆-1110","layer":3},{"info":"⇑⪆211020⪮%⊝⇑⪆13001=⇑⪆424321","layer":3},{"info":"⇑⪆-1110≓∲⇑⪆424321=⇑⪆232","layer":2},{"info":"⇑⪆-1123441⪝⇑⪆232=⇑⪆-23003100","layer":1},{"info":"⇑⪆-23003100⇀∌=⇑⪆423","layer":0}]}
{"id":161,"expression_no_base_symbol":"((⫓⪴$1343$⨔⇊$8177$)⪄(⊖∈(⊈$1059$)))⩒⫫(≔$2742$↤⩊$2869$)⪪($1075$≦↸$1321$⪍↜⋙($4156$≬⇓$1258$))","expression":"((⫓⪴⇑⪆20333⨔⇊⇑⪆230202)⪄(⊖∈(⊈⇑⪆13214)))⩒⫫(≔⇑⪆41432↤⩊⇑⪆42434)⪪(⇑⪆13300≦↸⇑⪆20241⪍↜⋙(⇑⪆113111≬⇓⇑⪆20013))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12358,"operation_count":12,"complexity_ratio":1029.8333333333333,"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":1343,"base":5},"right_expr":{"type":"numeric_atoms","value":8177,"base":5}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1059,"base":5}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2742,"base":5},"right_expr":{"type":"numeric_atoms","value":2869,"base":5}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1075,"base":5},"right_expr":{"type":"numeric_atoms","value":1321,"base":5}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":4156,"base":5},"right_expr":{"type":"numeric_atoms","value":1258,"base":5}}}}},"used_operators":["KFSx94NKJn","SUmda5xLS4","eLxqMNBOBk","JclMnS0uGI","YFxL8Sc2Zy","RHru8klgy8","xD69zh8xqp","8FLs4eVsLt","13rbtpv6ld","L05ObWFQCd","RygbFNSyEJ","jWTQ2TZYIH"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","12rbrZMWeM","xUOZtlo3hN","FU0Cs4j7VP","JclMnS0uGI","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1343","layer":4},{"info":"number node, value=8177","layer":4},{"info":"compute binary expreesion, left_input=1343, right_input=8177, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=8177","layer":3},{"info":"compute unary expreesion, input=8177, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=66863329","layer":2},{"info":"number node, value=1059","layer":4},{"info":"compute unary expreesion, input=1059, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1233","layer":3},{"info":"compute unary expreesion, input=-1233, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=30662426","layer":2},{"info":"compute binary expreesion, left_input=66863329, right_input=30662426, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-inf","layer":1},{"info":"number node, value=2742","layer":4},{"info":"number node, value=2869","layer":4},{"info":"compute binary expreesion, left_input=2742, right_input=2869, 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 = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=nan","layer":2},{"info":"number node, value=1075","layer":4},{"info":"number node, value=1321","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=1321, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-4111","layer":3},{"info":"number node, value=4156","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=4156, right_input=1258, 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=-4111, right_input=-22, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=19816","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19816, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-inf, 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":5,"result_base":5,"text":"((⫓⪴⇑⪆20333⨔⇊⇑⪆230202)⪄(⊖∈(⊈⇑⪆13214)))⩒⫫(≔⇑⪆41432↤⩊⇑⪆42434)⪪(⇑⪆13300≦↸⇑⪆20241⪍↜⋙(⇑⪆113111≬⇓⇑⪆20013))=NaN","reverse_text":"NaN=((⫓⪴⇑⪆20333⨔⇊⇑⪆230202)⪄(⊖∈(⊈⇑⪆13214)))⩒⫫(≔⇑⪆41432↤⩊⇑⪆42434)⪪(⇑⪆13300≦↸⇑⪆20241⪍↜⋙(⇑⪆113111≬⇓⇑⪆20013))","cot":[{"info":"⇑⪆20333⨔⇊⇑⪆230202=⇑⪆230202","layer":3},{"info":"⫓⪴⇑⪆230202=⇑⪆114104111304","layer":2},{"info":"⊈⇑⪆13214=⇑⪆-14413","layer":3},{"info":"⊖∈⇑⪆-14413=⇑⪆30322144201","layer":2},{"info":"⇑⪆114104111304⪄⇑⪆30322144201=-Inf","layer":1},{"info":"⇑⪆41432↤⩊⇑⪆42434=NaN","layer":3},{"info":"≔NaN=NaN","layer":2},{"info":"⇑⪆13300≦↸⇑⪆20241=⇑⪆-112421","layer":3},{"info":"⇑⪆113111≬⇓⇑⪆20013=⇑⪆-42","layer":3},{"info":"⇑⪆-112421⪍↜⋙⇑⪆-42=⇑⪆1113231","layer":2},{"info":"NaN⪪⇑⪆1113231=NaN","layer":1},{"info":"-Inf⩒⫫NaN=NaN","layer":0}]}
{"id":162,"expression_no_base_symbol":"(($1092$⊝)⨼⩣(⪨⨬$2815$)⊾⪯⋞(⊈$1523$⫯⪬∳$3383$))⫥∨⫟($2407$↢$1246$⫘($1697$⪍↜⋙$1033$)⊉≛↸($2296$⨫⇇↔$1161$)⋕⪉⪜($1598$↳∿⪆$3606$))","expression":"((⇑⪆13332⊝)⨼⩣(⪨⨬⇑⪆42230)⊾⪯⋞(⊈⇑⪆22043⫯⪬∳⇑⪆102013))⫥∨⫟(⇑⪆34112↢⇑⪆14441⫘(⇑⪆23242⪍↜⋙⇑⪆13113)⊉≛↸(⇑⪆33141⨫⇇↔⇑⪆14121)⋕⪉⪜(⇑⪆22343↳∿⪆⇑⪆103411))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6819,"operation_count":14,"complexity_ratio":487.07142857142856,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":1092,"base":5}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":2815,"base":5}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1523,"base":5},"right_expr":{"type":"numeric_atoms","value":3383,"base":5}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2407,"base":5},"right_expr":{"type":"numeric_atoms","value":1246,"base":5}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1697,"base":5},"right_expr":{"type":"numeric_atoms","value":1033,"base":5}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2296,"base":5},"right_expr":{"type":"numeric_atoms","value":1161,"base":5}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1598,"base":5},"right_expr":{"type":"numeric_atoms","value":3606,"base":5}}}}},"used_operators":["KYD54nUTWz","HK0tfVPux8","JxwMv5le6e","O6EZ0fifGK","5obUd6DV38","RHru8klgy8","d7ASUq0ydm","DZ8iAZOCBD","48vC8HMD2b","WR6HLWljOP","L05ObWFQCd","z6LnFrNh4i","LXhwmt4mBO","Cw4SuJJGHO"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","T2fj7uvVaJ","nlCqmYiOvY","12rbrZMWeM","xUOZtlo3hN","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1092","layer":4},{"info":"compute unary expreesion, input=1092, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=1092","layer":3},{"info":"number node, value=2815","layer":4},{"info":"compute unary expreesion, input=2815, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute binary expreesion, left_input=1092, right_input=-526, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=1523","layer":4},{"info":"number node, value=3383","layer":4},{"info":"compute binary expreesion, left_input=1523, right_input=3383, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=4265","layer":3},{"info":"compute unary expreesion, input=4265, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-4439","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4439, 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=2407","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=2407, right_input=1246, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1923","layer":3},{"info":"number node, value=1697","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=1697, right_input=1033, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=1328","layer":3},{"info":"compute binary expreesion, left_input=1923, right_input=1328, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2265853","layer":2},{"info":"number node, value=2296","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=1161, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1598","layer":4},{"info":"number node, value=3606","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=3606, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=2265853, right_input=204, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4531706","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4531706, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆13332⊝)⨼⩣(⪨⨬⇑⪆42230)⊾⪯⋞(⊈⇑⪆22043⫯⪬∳⇑⪆102013))⫥∨⫟(⇑⪆34112↢⇑⪆14441⫘(⇑⪆23242⪍↜⋙⇑⪆13113)⊉≛↸(⇑⪆33141⨫⇇↔⇑⪆14121)⋕⪉⪜(⇑⪆22343↳∿⪆⇑⪆103411))=NaN","reverse_text":"NaN=((⇑⪆13332⊝)⨼⩣(⪨⨬⇑⪆42230)⊾⪯⋞(⊈⇑⪆22043⫯⪬∳⇑⪆102013))⫥∨⫟(⇑⪆34112↢⇑⪆14441⫘(⇑⪆23242⪍↜⋙⇑⪆13113)⊉≛↸(⇑⪆33141⨫⇇↔⇑⪆14121)⋕⪉⪜(⇑⪆22343↳∿⪆⇑⪆103411))","cot":[{"info":"⇑⪆13332⊝=⇑⪆13332","layer":3},{"info":"⪨⨬⇑⪆42230=⇑⪆-4101","layer":3},{"info":"⇑⪆13332⨼⩣⇑⪆-4101=NaN","layer":2},{"info":"⇑⪆22043⫯⪬∳⇑⪆102013=⇑⪆114030","layer":3},{"info":"⊈⇑⪆114030=⇑⪆-120224","layer":2},{"info":"NaN⊾⪯⋞⇑⪆-120224=NaN","layer":1},{"info":"⇑⪆34112↢⇑⪆14441=⇑⪆30143","layer":3},{"info":"⇑⪆23242⪍↜⋙⇑⪆13113=⇑⪆20303","layer":3},{"info":"⇑⪆30143⫘⇑⪆20303=⇑⪆1040001403","layer":2},{"info":"⇑⪆33141⨫⇇↔⇑⪆14121=⇑⪆-4102","layer":3},{"info":"⇑⪆22343↳∿⪆⇑⪆103411=NaN","layer":3},{"info":"⇑⪆-4102⋕⪉⪜NaN=⇑⪆1304","layer":2},{"info":"⇑⪆1040001403⊉≛↸⇑⪆1304=⇑⪆2130003311","layer":1},{"info":"NaN⫥∨⫟⇑⪆2130003311=NaN","layer":0}]}
{"id":163,"expression_no_base_symbol":"↯⪼($1135$∥⊢⊲$1226$⨓(⊵⊁$1517$))∴((⩪∧⨌$1691$)⇌⫙⪟($1430$⫦⪉$2415$))","expression":"↯⪼(⇑⪆14020∥⊢⊲⇑⪆14401⨓(⊵⊁⇑⪆22032))∴((⩪∧⨌⇑⪆23231)⇌⫙⪟(⇑⪆21210⫦⪉⇑⪆34130))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8139,"operation_count":8,"complexity_ratio":1017.375,"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":1135,"base":5},"right_expr":{"type":"numeric_atoms","value":1226,"base":5}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1517,"base":5}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1691,"base":5}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1430,"base":5},"right_expr":{"type":"numeric_atoms","value":2415,"base":5}}}}},"used_operators":["8jW3W4yZS5","hrf7POJlIJ","3ViojmjbAp","v1UQAVDJRr","AvED76WdY7","AFVx7xoS7T","6iOiAJX1F8","wscyQdcy20"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","EBcxylXtPf","rGHVDoGpnC","uBihLCJcMX","k8jYdgA6NY","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⇑⪆1343202","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1135","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=1226, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1517","layer":4},{"info":"compute unary expreesion, input=1517, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=8032","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8032, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8035","layer":2},{"info":"number node, value=1691","layer":4},{"info":"compute unary expreesion, input=1691, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=16910","layer":3},{"info":"number node, value=1430","layer":4},{"info":"number node, value=2415","layer":4},{"info":"compute binary expreesion, left_input=1430, right_input=2415, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2040","layer":3},{"info":"compute binary expreesion, left_input=16910, right_input=2040, 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=-8035, right_input=113, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-14422","layer":1},{"info":"compute unary expreesion, input=-14422, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=27927","layer":0}],"base":5,"result_base":5,"text":"↯⪼(⇑⪆14020∥⊢⊲⇑⪆14401⨓(⊵⊁⇑⪆22032))∴((⩪∧⨌⇑⪆23231)⇌⫙⪟(⇑⪆21210⫦⪉⇑⪆34130))=⇑⪆1343202","reverse_text":"⇑⪆1343202=↯⪼(⇑⪆14020∥⊢⊲⇑⪆14401⨓(⊵⊁⇑⪆22032))∴((⩪∧⨌⇑⪆23231)⇌⫙⪟(⇑⪆21210⫦⪉⇑⪆34130))","cot":[{"info":"⇑⪆14020∥⊢⊲⇑⪆14401=NaN","layer":3},{"info":"⊵⊁⇑⪆22032=⇑⪆224112","layer":3},{"info":"NaN⨓⇑⪆224112=⇑⪆-224120","layer":2},{"info":"⩪∧⨌⇑⪆23231=⇑⪆1020120","layer":3},{"info":"⇑⪆21210⫦⪉⇑⪆34130=⇑⪆31130","layer":3},{"info":"⇑⪆1020120⇌⫙⪟⇑⪆31130=⇑⪆423","layer":2},{"info":"⇑⪆-224120∴⇑⪆423=⇑⪆-430142","layer":1},{"info":"↯⪼⇑⪆-430142=⇑⪆1343202","layer":0}]}
{"id":164,"expression_no_base_symbol":"⊢≑≆((⇖($4006$∇⊂⋱$2011$))⩼⇪↪(($1034$⋭≵$3430$)⩌⋺$6886$∊∟⩊$3199$))","expression":"⊢≑≆((⇖(⇑⪆112011∇⊂⋱⇑⪆31021))⩼⇪↪((⇑⪆13114⋭≵⇑⪆102210)⩌⋺⇑⪆210021∊∟⩊⇑⪆100244))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":73,"operation_count":7,"complexity_ratio":10.428571428571429,"tree":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":4006,"base":5},"right_expr":{"type":"numeric_atoms","value":2011,"base":5}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1034,"base":5},"right_expr":{"type":"numeric_atoms","value":3430,"base":5}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":6886,"base":5},"right_expr":{"type":"numeric_atoms","value":3199,"base":5}}}}},"used_operators":["27wFxooxGf","ocnLzx9CaJ","tfWHHpNKUN","nhYeJWJD5X","g7Hmc5v1ko","jBncVCNhdl","ddLRYrp01A"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","2DQ55sFlQl","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"⇑⪆30030132","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4006","layer":4},{"info":"number node, value=2011","layer":4},{"info":"compute binary expreesion, left_input=4006, right_input=2011, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=7466","layer":3},{"info":"compute unary expreesion, input=7466, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"number node, value=1034","layer":4},{"info":"number node, value=3430","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=3430, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=5169","layer":3},{"info":"number node, value=6886","layer":4},{"info":"number node, value=3199","layer":4},{"info":"compute binary expreesion, left_input=6886, right_input=3199, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3199","layer":3},{"info":"compute binary expreesion, left_input=5169, right_input=3199, 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=-8489","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-8489, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=58960","layer":1},{"info":"compute unary expreesion, input=58960, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=236292","layer":0}],"base":5,"result_base":5,"text":"⊢≑≆((⇖(⇑⪆112011∇⊂⋱⇑⪆31021))⩼⇪↪((⇑⪆13114⋭≵⇑⪆102210)⩌⋺⇑⪆210021∊∟⩊⇑⪆100244))=⇑⪆30030132","reverse_text":"⇑⪆30030132=⊢≑≆((⇖(⇑⪆112011∇⊂⋱⇑⪆31021))⩼⇪↪((⇑⪆13114⋭≵⇑⪆102210)⩌⋺⇑⪆210021∊∟⩊⇑⪆100244))","cot":[{"info":"⇑⪆112011∇⊂⋱⇑⪆31021=⇑⪆214331","layer":3},{"info":"⇖⇑⪆214331=⇑⪆1120","layer":2},{"info":"⇑⪆13114⋭≵⇑⪆102210=⇑⪆131134","layer":3},{"info":"⇑⪆210021∊∟⩊⇑⪆100244=⇑⪆100244","layer":3},{"info":"⇑⪆131134⩌⋺⇑⪆100244=⇑⪆-232424","layer":2},{"info":"⇑⪆1120⩼⇪↪⇑⪆-232424=⇑⪆3341320","layer":1},{"info":"⊢≑≆⇑⪆3341320=⇑⪆30030132","layer":0}]}
{"id":165,"expression_no_base_symbol":"($4894$⨼⩣$3978$⨚($1310$⫳≱↱$1000$))⩼⇪↪($3232$⊋≦⊧$4169$⊋≦⊧$1216$⨰$1692$)↬(($2273$⪛⫼$3616$)⩷∴($1796$⫢⨠$1152$)⫳≱↱($5611$⫳≱↱$1050$)⪟⇏($2614$⋭≵$1016$))","expression":"(⇑⪆124034⨼⩣⇑⪆111403⨚(⇑⪆20220⫳≱↱⇑⪆13000))⩼⇪↪(⇑⪆100412⊋≦⊧⇑⪆113134⊋≦⊧⇑⪆14331⨰⇑⪆23232)↬((⇑⪆33043⪛⫼⇑⪆103431)⩷∴(⇑⪆24141⫢⨠⇑⪆14102)⫳≱↱(⇑⪆134421⫳≱↱⇑⪆13200)⪟⇏(⇑⪆40424⋭≵⇑⪆13031))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1412,"operation_count":15,"complexity_ratio":94.13333333333334,"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":4894,"base":5},"right_expr":{"type":"numeric_atoms","value":3978,"base":5}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1310,"base":5},"right_expr":{"type":"numeric_atoms","value":1000,"base":5}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3232,"base":5},"right_expr":{"type":"numeric_atoms","value":4169,"base":5}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1216,"base":5},"right_expr":{"type":"numeric_atoms","value":1692,"base":5}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2273,"base":5},"right_expr":{"type":"numeric_atoms","value":3616,"base":5}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1796,"base":5},"right_expr":{"type":"numeric_atoms","value":1152,"base":5}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":5611,"base":5},"right_expr":{"type":"numeric_atoms","value":1050,"base":5}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2614,"base":5},"right_expr":{"type":"numeric_atoms","value":1016,"base":5}}}}},"used_operators":["B5M0gjZbta","ocnLzx9CaJ","nREPSIbpBE","JxwMv5le6e","ZvLB05nZmT","oRDoc9rAEX","eewbuw0ToL","9FxExcQeMw","hyuBjUqXlG","xlXykHWxX1","GODebY97qR","jBncVCNhdl"],"dependent_operators":["rGHVDoGpnC","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","BjRHVeLaeN","12rbrZMWeM","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4894","layer":4},{"info":"number node, value=3978","layer":4},{"info":"compute binary expreesion, left_input=4894, right_input=3978, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1310","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1310, right_input=1000, 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 = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"number node, value=3232","layer":4},{"info":"number node, value=4169","layer":4},{"info":"compute binary expreesion, left_input=3232, right_input=4169, 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=-7161","layer":3},{"info":"number node, value=1216","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=1692, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-466","layer":3},{"info":"compute binary expreesion, left_input=-7161, right_input=-466, 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 = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=2273","layer":4},{"info":"number node, value=3616","layer":4},{"info":"compute binary expreesion, left_input=2273, right_input=3616, 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=1796","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=1152, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=160, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1584","layer":2},{"info":"number node, value=5611","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=5611, right_input=1050, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=2614","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=2614, right_input=1016, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=67, op_id = 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=1584, right_input=0, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-471","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-471, 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":5,"result_base":5,"text":"(⇑⪆124034⨼⩣⇑⪆111403⨚(⇑⪆20220⫳≱↱⇑⪆13000))⩼⇪↪(⇑⪆100412⊋≦⊧⇑⪆113134⊋≦⊧⇑⪆14331⨰⇑⪆23232)↬((⇑⪆33043⪛⫼⇑⪆103431)⩷∴(⇑⪆24141⫢⨠⇑⪆14102)⫳≱↱(⇑⪆134421⫳≱↱⇑⪆13200)⪟⇏(⇑⪆40424⋭≵⇑⪆13031))=NaN","reverse_text":"NaN=(⇑⪆124034⨼⩣⇑⪆111403⨚(⇑⪆20220⫳≱↱⇑⪆13000))⩼⇪↪(⇑⪆100412⊋≦⊧⇑⪆113134⊋≦⊧⇑⪆14331⨰⇑⪆23232)↬((⇑⪆33043⪛⫼⇑⪆103431)⩷∴(⇑⪆24141⫢⨠⇑⪆14102)⫳≱↱(⇑⪆134421⫳≱↱⇑⪆13200)⪟⇏(⇑⪆40424⋭≵⇑⪆13031))","cot":[{"info":"⇑⪆124034⨼⩣⇑⪆111403=NaN","layer":3},{"info":"⇑⪆20220⫳≱↱⇑⪆13000=⇑⪆-1304","layer":3},{"info":"NaN⨚⇑⪆-1304=NaN","layer":2},{"info":"⇑⪆100412⊋≦⊧⇑⪆113134=⇑⪆-212121","layer":3},{"info":"⇑⪆14331⨰⇑⪆23232=⇑⪆-3331","layer":3},{"info":"⇑⪆-212121⊋≦⊧⇑⪆-3331=⇑⪆1232","layer":2},{"info":"NaN⩼⇪↪⇑⪆1232=NaN","layer":1},{"info":"⇑⪆33043⪛⫼⇑⪆103431=⇑⪆12333","layer":3},{"info":"⇑⪆24141⫢⨠⇑⪆14102=⇑⪆1120","layer":3},{"info":"⇑⪆12333⩷∴⇑⪆1120=⇑⪆22314","layer":2},{"info":"⇑⪆134421⫳≱↱⇑⪆13200=⇑⪆-1304","layer":3},{"info":"⇑⪆40424⋭≵⇑⪆13031=⇑⪆232","layer":3},{"info":"⇑⪆-1304⪟⇏⇑⪆232=⇑⪆0","layer":2},{"info":"⇑⪆22314⫳≱↱⇑⪆0=⇑⪆-3341","layer":1},{"info":"NaN↬⇑⪆-3341=NaN","layer":0}]}
{"id":166,"expression_no_base_symbol":"≤/($1150$⨰$2178$)⨓($1535$%$3174$)⫲≸⪮($4797$≁$1041$)⨑⩅≇($2712$⨑≵⋬$1934$)","expression":"≤/(⇑⪆14100⨰⇑⪆32203)⨓(⇑⪆22120%⇑⪆100144)⫲≸⪮(⇑⪆123142≁⇑⪆13131)⨑⩅≇(⇑⪆41322⨑≵⋬⇑⪆30214)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4626,"operation_count":8,"complexity_ratio":578.25,"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":1150,"base":5},"right_expr":{"type":"numeric_atoms","value":2178,"base":5}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1535,"base":5},"right_expr":{"type":"numeric_atoms","value":3174,"base":5}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4797,"base":5},"right_expr":{"type":"numeric_atoms","value":1041,"base":5}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2712,"base":5},"right_expr":{"type":"numeric_atoms","value":1934,"base":5}}}}},"used_operators":["eLAdDNolq6","P3lXMJvFrc","3ViojmjbAp","eewbuw0ToL","k8jYdgA6NY","h92wMvzauj","8N2wDY1A35","XnXgA4xnOs"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⇑⪆31042","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1150","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=2178, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1018","layer":3},{"info":"number node, value=1535","layer":4},{"info":"number node, value=3174","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=3174, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1535","layer":3},{"info":"compute binary expreesion, left_input=-1018, right_input=1535, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1538","layer":2},{"info":"number node, value=4797","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=4797, right_input=1041, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=11783","layer":3},{"info":"number node, value=2712","layer":4},{"info":"number node, value=1934","layer":4},{"info":"compute binary expreesion, left_input=2712, right_input=1934, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=1401","layer":3},{"info":"compute binary expreesion, left_input=11783, right_input=1401, 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=-35349","layer":2},{"info":"compute binary expreesion, left_input=-1538, right_input=-35349, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-1538","layer":1},{"info":"compute unary expreesion, input=-1538, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=2022","layer":0}],"base":5,"result_base":5,"text":"≤/(⇑⪆14100⨰⇑⪆32203)⨓(⇑⪆22120%⇑⪆100144)⫲≸⪮(⇑⪆123142≁⇑⪆13131)⨑⩅≇(⇑⪆41322⨑≵⋬⇑⪆30214)=⇑⪆31042","reverse_text":"⇑⪆31042=≤/(⇑⪆14100⨰⇑⪆32203)⨓(⇑⪆22120%⇑⪆100144)⫲≸⪮(⇑⪆123142≁⇑⪆13131)⨑⩅≇(⇑⪆41322⨑≵⋬⇑⪆30214)","cot":[{"info":"⇑⪆14100⨰⇑⪆32203=⇑⪆-13033","layer":3},{"info":"⇑⪆22120%⇑⪆100144=⇑⪆22120","layer":3},{"info":"⇑⪆-13033⨓⇑⪆22120=⇑⪆-22123","layer":2},{"info":"⇑⪆123142≁⇑⪆13131=⇑⪆334113","layer":3},{"info":"⇑⪆41322⨑≵⋬⇑⪆30214=⇑⪆21101","layer":3},{"info":"⇑⪆334113⨑⩅≇⇑⪆21101=⇑⪆-2112344","layer":2},{"info":"⇑⪆-22123⫲≸⪮⇑⪆-2112344=⇑⪆-22123","layer":1},{"info":"≤/⇑⪆-22123=⇑⪆31042","layer":0}]}
{"id":167,"expression_no_base_symbol":"(⇠($4628$∝$2019$⪨≂(⋃$1200$)))⨑⩅≇((($4512$⋥≓≎$1596$)⫸⇳($2914$⪒$2649$))⇌⫙⪟($3764$⫢⨠$1490$⫦⪉(⫓⪴$3537$)))","expression":"(⇠(⇑⪆122003∝⇑⪆31034⪨≂(⋃⇑⪆14300)))⨑⩅≇(((⇑⪆121022⋥≓≎⇑⪆22341)⫸⇳(⇑⪆43124⪒⇑⪆41044))⇌⫙⪟(⇑⪆110024⫢⨠⇑⪆21430⫦⪉(⫓⪴⇑⪆103122)))","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3776,"operation_count":12,"complexity_ratio":314.6666666666667,"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":4628,"base":5},"right_expr":{"type":"numeric_atoms","value":2019,"base":5}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1200,"base":5}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4512,"base":5},"right_expr":{"type":"numeric_atoms","value":1596,"base":5}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2914,"base":5},"right_expr":{"type":"numeric_atoms","value":2649,"base":5}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3764,"base":5},"right_expr":{"type":"numeric_atoms","value":1490,"base":5}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3537,"base":5}}}}},"used_operators":["h92wMvzauj","18saOjeKKm","sdazOOVcIp","cTDWOvIxvz","3mBM5G4a3l","AFVx7xoS7T","gx7XJ7hdpj","Qy55tPpLXF","f6k1SAg4EE","wscyQdcy20","xlXykHWxX1","eLxqMNBOBk"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","g55IO6H4Gj","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","9HNa5Wba9A"],"result":"⇑⪆-210","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4628","layer":4},{"info":"number node, value=2019","layer":4},{"info":"compute binary expreesion, left_input=4628, right_input=2019, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=4633","layer":3},{"info":"number node, value=1200","layer":4},{"info":"compute unary expreesion, input=1200, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=2502","layer":3},{"info":"compute binary expreesion, left_input=4633, right_input=2502, 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=4364","layer":2},{"info":"compute unary expreesion, input=4364, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-4122","layer":1},{"info":"number node, value=4512","layer":4},{"info":"number node, value=1596","layer":4},{"info":"compute binary expreesion, left_input=4512, right_input=1596, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1287","layer":3},{"info":"number node, value=2914","layer":4},{"info":"number node, value=2649","layer":4},{"info":"compute binary expreesion, left_input=2914, right_input=2649, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5563","layer":3},{"info":"compute binary expreesion, left_input=-1287, right_input=-5563, 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=3764","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=3764, right_input=1490, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=3537","layer":4},{"info":"compute unary expreesion, input=3537, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=12510369","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=12510369, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4580","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4580, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":1},{"info":"compute binary expreesion, left_input=-4122, 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=-55","layer":0}],"base":5,"result_base":5,"text":"(⇠(⇑⪆122003∝⇑⪆31034⪨≂(⋃⇑⪆14300)))⨑⩅≇(((⇑⪆121022⋥≓≎⇑⪆22341)⫸⇳(⇑⪆43124⪒⇑⪆41044))⇌⫙⪟(⇑⪆110024⫢⨠⇑⪆21430⫦⪉(⫓⪴⇑⪆103122)))=⇑⪆-210","reverse_text":"⇑⪆-210=(⇠(⇑⪆122003∝⇑⪆31034⪨≂(⋃⇑⪆14300)))⨑⩅≇(((⇑⪆121022⋥≓≎⇑⪆22341)⫸⇳(⇑⪆43124⪒⇑⪆41044))⇌⫙⪟(⇑⪆110024⫢⨠⇑⪆21430⫦⪉(⫓⪴⇑⪆103122)))","cot":[{"info":"⇑⪆122003∝⇑⪆31034=⇑⪆122013","layer":3},{"info":"⋃⇑⪆14300=⇑⪆40002","layer":3},{"info":"⇑⪆122013⪨≂⇑⪆40002=⇑⪆114424","layer":2},{"info":"⇠⇑⪆114424=⇑⪆-112442","layer":1},{"info":"⇑⪆121022⋥≓≎⇑⪆22341=⇑⪆-20122","layer":3},{"info":"⇑⪆43124⪒⇑⪆41044=⇑⪆-134223","layer":3},{"info":"⇑⪆-20122⫸⇳⇑⪆-134223=⇑⪆0","layer":2},{"info":"⇑⪆110024⫢⨠⇑⪆21430=⇑⪆1120","layer":3},{"info":"⫓⪴⇑⪆103122=⇑⪆11200312434","layer":3},{"info":"⇑⪆1120⫦⪉⇑⪆11200312434=⇑⪆121310","layer":2},{"info":"⇑⪆0⇌⫙⪟⇑⪆121310=⇑⪆423","layer":1},{"info":"⇑⪆-112442⨑⩅≇⇑⪆423=⇑⪆-210","layer":0}]}
{"id":168,"expression_no_base_symbol":"((∓⪦$1138$)⫣⪄⊒($1065$∖$3520$)⩉⊫⨁)⫯⪬∳(⨈⫕($3177$⨭⪣$4229$↱$3393$⩒⫫$1332$))","expression":"((∓⪦⇑⪆14023)⫣⪄⊒(⇑⪆13230∖⇑⪆103040)⩉⊫⨁)⫯⪬∳(⨈⫕(⇑⪆100202⨭⪣⇑⪆113404↱⇑⪆102033⩒⫫⇑⪆20312))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1041,"operation_count":9,"complexity_ratio":115.66666666666667,"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":1138,"base":5}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1065,"base":5},"right_expr":{"type":"numeric_atoms","value":3520,"base":5}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":3177,"base":5},"right_expr":{"type":"numeric_atoms","value":4229,"base":5}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3393,"base":5},"right_expr":{"type":"numeric_atoms","value":1332,"base":5}}}}},"used_operators":["d7ASUq0ydm","7qqUquhhSb","RabNbG55vr","D309nIvmXG","tXD093vOjl","megm06wKyl","SR5kFfdi6N","kn8WO9XteQ","KFSx94NKJn"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","7j4O788W3g","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"⇑⪆11404","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1138","layer":4},{"info":"compute unary expreesion, input=1138, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=730","layer":3},{"info":"number node, value=1065","layer":4},{"info":"number node, value=3520","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=3520, 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=730, 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":2},{"info":"compute unary expreesion, input=160, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=160","layer":1},{"info":"number node, value=3177","layer":4},{"info":"number node, value=4229","layer":4},{"info":"compute binary expreesion, left_input=3177, right_input=4229, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1898","layer":3},{"info":"number node, value=3393","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=3393, right_input=1332, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3091","layer":3},{"info":"compute binary expreesion, left_input=1898, right_input=3091, 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=-8751","layer":2},{"info":"compute unary expreesion, input=-8751, 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=160, right_input=-21, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=854","layer":0}],"base":5,"result_base":5,"text":"((∓⪦⇑⪆14023)⫣⪄⊒(⇑⪆13230∖⇑⪆103040)⩉⊫⨁)⫯⪬∳(⨈⫕(⇑⪆100202⨭⪣⇑⪆113404↱⇑⪆102033⩒⫫⇑⪆20312))=⇑⪆11404","reverse_text":"⇑⪆11404=((∓⪦⇑⪆14023)⫣⪄⊒(⇑⪆13230∖⇑⪆103040)⩉⊫⨁)⫯⪬∳(⨈⫕(⇑⪆100202⨭⪣⇑⪆113404↱⇑⪆102033⩒⫫⇑⪆20312))","cot":[{"info":"∓⪦⇑⪆14023=⇑⪆10410","layer":3},{"info":"⇑⪆13230∖⇑⪆103040=⇑⪆0","layer":3},{"info":"⇑⪆10410⫣⪄⊒⇑⪆0=⇑⪆1120","layer":2},{"info":"⇑⪆1120⩉⊫⨁=⇑⪆1120","layer":1},{"info":"⇑⪆100202⨭⪣⇑⪆113404=⇑⪆30043","layer":3},{"info":"⇑⪆102033⩒⫫⇑⪆20312=⇑⪆44331","layer":3},{"info":"⇑⪆30043↱⇑⪆44331=⇑⪆-240001","layer":2},{"info":"⨈⫕⇑⪆-240001=⇑⪆-41","layer":1},{"info":"⇑⪆1120⫯⪬∳⇑⪆-41=⇑⪆11404","layer":0}]}
{"id":169,"expression_no_base_symbol":"($4443$⊋≦⊧$7505$⫌⩹⨱)⨸($7573$⊱⇼⊻$1037$⪛⫼$3705$⪇≇⋚$2859$)↳∿⪆(((⇖$5029$)⫃⨇$2879$⩧⪆$1184$)⪚⩙≫)","expression":"(⇑⪆120233⊋≦⊧⇑⪆220010⫌⩹⨱)⨸(⇑⪆220243⊱⇼⊻⇑⪆13122⪛⫼⇑⪆104310⪇≇⋚⇑⪆42414)↳∿⪆(((⇖⇑⪆130104)⫃⨇⇑⪆43004⩧⪆⇑⪆14214)⪚⩙≫)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":24623,"operation_count":11,"complexity_ratio":2238.4545454545455,"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":4443,"base":5},"right_expr":{"type":"numeric_atoms","value":7505,"base":5}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":7573,"base":5},"right_expr":{"type":"numeric_atoms","value":1037,"base":5}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3705,"base":5},"right_expr":{"type":"numeric_atoms","value":2859,"base":5}}}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":5029,"base":5}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2879,"base":5},"right_expr":{"type":"numeric_atoms","value":1184,"base":5}}}}},"used_operators":["Cw4SuJJGHO","KmoU8R5UQR","EBcxylXtPf","oRDoc9rAEX","hyuBjUqXlG","FyVja0WsTP","3sJ7IOPOlU","4n53wtyJvv","09Ly4LVMIf","tfWHHpNKUN","Ikt5ks8PT7"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","2DQ55sFlQl","eewbuw0ToL","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4443","layer":4},{"info":"number node, value=7505","layer":4},{"info":"compute binary expreesion, left_input=4443, right_input=7505, 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=-11708","layer":3},{"info":"compute unary expreesion, input=-11708, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-22015","layer":2},{"info":"number node, value=7573","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=7573, right_input=1037, 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=3705","layer":4},{"info":"number node, value=2859","layer":4},{"info":"compute binary expreesion, left_input=3705, right_input=2859, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=0, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=-22015, right_input=968, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=44030","layer":1},{"info":"number node, value=5029","layer":4},{"info":"compute unary expreesion, input=5029, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"number node, value=2879","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=2879, right_input=1184, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1184","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1184, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=4704","layer":2},{"info":"compute unary expreesion, input=4704, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=44030, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆120233⊋≦⊧⇑⪆220010⫌⩹⨱)⨸(⇑⪆220243⊱⇼⊻⇑⪆13122⪛⫼⇑⪆104310⪇≇⋚⇑⪆42414)↳∿⪆(((⇖⇑⪆130104)⫃⨇⇑⪆43004⩧⪆⇑⪆14214)⪚⩙≫)=NaN","reverse_text":"NaN=(⇑⪆120233⊋≦⊧⇑⪆220010⫌⩹⨱)⨸(⇑⪆220243⊱⇼⊻⇑⪆13122⪛⫼⇑⪆104310⪇≇⋚⇑⪆42414)↳∿⪆(((⇖⇑⪆130104)⫃⨇⇑⪆43004⩧⪆⇑⪆14214)⪚⩙≫)","cot":[{"info":"⇑⪆120233⊋≦⊧⇑⪆220010=⇑⪆-333313","layer":3},{"info":"⇑⪆-333313⫌⩹⨱=⇑⪆-1201030","layer":2},{"info":"⇑⪆220243⊱⇼⊻⇑⪆13122=⇑⪆3214","layer":3},{"info":"⇑⪆104310⪇≇⋚⇑⪆42414=⇑⪆0","layer":3},{"info":"⇑⪆3214⪛⫼⇑⪆0=⇑⪆12333","layer":2},{"info":"⇑⪆-1201030⨸⇑⪆12333=⇑⪆2402110","layer":1},{"info":"⇖⇑⪆130104=⇑⪆1120","layer":3},{"info":"⇑⪆43004⩧⪆⇑⪆14214=⇑⪆-14214","layer":3},{"info":"⇑⪆1120⫃⨇⇑⪆-14214=⇑⪆122304","layer":2},{"info":"⇑⪆122304⪚⩙≫=NaN","layer":1},{"info":"⇑⪆2402110↳∿⪆NaN=NaN","layer":0}]}
{"id":170,"expression_no_base_symbol":"(↘($4708$∕⩚$1596$)↹⊜($1219$∙⊟$6338$))⩨(⇉-⫰($1715$⫡⨏$3880$))⊉↱≁($5408$↱$4074$)⪬($1909$⇌⫙⪟$2770$)","expression":"(↘(⇑⪆122313∕⩚⇑⪆22341)↹⊜(⇑⪆14334∙⊟⇑⪆200323))⩨(⇉-⫰(⇑⪆23330⫡⨏⇑⪆111010))⊉↱≁(⇑⪆133113↱⇑⪆112244)⪬(⇑⪆30114⇌⫙⪟⇑⪆42040)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7282,"operation_count":11,"complexity_ratio":662.0,"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":4708,"base":5},"right_expr":{"type":"numeric_atoms","value":1596,"base":5}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1219,"base":5},"right_expr":{"type":"numeric_atoms","value":6338,"base":5}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1715,"base":5},"right_expr":{"type":"numeric_atoms","value":3880,"base":5}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5408,"base":5},"right_expr":{"type":"numeric_atoms","value":4074,"base":5}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1909,"base":5},"right_expr":{"type":"numeric_atoms","value":2770,"base":5}}}}},"used_operators":["2DlMacCsIx","LdNpr8hQHL","9bazX3JMtO","z9ffQ9n5Zr","SxTAKzQCrw","w2P8NbNXyL","IGFM8TAlm9","QMFrweE19q","Ez1Nq5fNfI","SR5kFfdi6N","AFVx7xoS7T"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","uFcxV4UQCh","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eH2TOUuTDT","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"⇑⪆1111","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4708","layer":4},{"info":"number node, value=1596","layer":4},{"info":"compute binary expreesion, left_input=4708, right_input=1596, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-4711","layer":3},{"info":"number node, value=1219","layer":4},{"info":"number node, value=6338","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=6338, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=25693","layer":3},{"info":"compute binary expreesion, left_input=-4711, right_input=25693, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-205640","layer":2},{"info":"compute unary expreesion, input=-205640, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=160","layer":1},{"info":"number node, value=1715","layer":4},{"info":"number node, value=3880","layer":4},{"info":"compute binary expreesion, left_input=1715, right_input=3880, 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=17118","layer":3},{"info":"compute unary expreesion, input=17118, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"number node, value=5408","layer":4},{"info":"number node, value=4074","layer":4},{"info":"compute binary expreesion, left_input=5408, right_input=4074, 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=-11700","layer":3},{"info":"number node, value=1909","layer":4},{"info":"number node, value=2770","layer":4},{"info":"compute binary expreesion, left_input=1909, right_input=2770, 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=-11700, right_input=113, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=1234, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-8318","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-8318, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=156","layer":0}],"base":5,"result_base":5,"text":"(↘(⇑⪆122313∕⩚⇑⪆22341)↹⊜(⇑⪆14334∙⊟⇑⪆200323))⩨(⇉-⫰(⇑⪆23330⫡⨏⇑⪆111010))⊉↱≁(⇑⪆133113↱⇑⪆112244)⪬(⇑⪆30114⇌⫙⪟⇑⪆42040)=⇑⪆1111","reverse_text":"⇑⪆1111=(↘(⇑⪆122313∕⩚⇑⪆22341)↹⊜(⇑⪆14334∙⊟⇑⪆200323))⩨(⇉-⫰(⇑⪆23330⫡⨏⇑⪆111010))⊉↱≁(⇑⪆133113↱⇑⪆112244)⪬(⇑⪆30114⇌⫙⪟⇑⪆42040)","cot":[{"info":"⇑⪆122313∕⩚⇑⪆22341=⇑⪆-122321","layer":3},{"info":"⇑⪆14334∙⊟⇑⪆200323=⇑⪆1310233","layer":3},{"info":"⇑⪆-122321↹⊜⇑⪆1310233=⇑⪆-23040030","layer":2},{"info":"↘⇑⪆-23040030=⇑⪆1120","layer":1},{"info":"⇑⪆23330⫡⨏⇑⪆111010=⇑⪆1021433","layer":3},{"info":"⇉-⫰⇑⪆1021433=⇑⪆40","layer":2},{"info":"⇑⪆133113↱⇑⪆112244=⇑⪆-333300","layer":3},{"info":"⇑⪆30114⇌⫙⪟⇑⪆42040=⇑⪆423","layer":3},{"info":"⇑⪆-333300⪬⇑⪆423=⇑⪆14414","layer":2},{"info":"⇑⪆40⊉↱≁⇑⪆14414=⇑⪆-231233","layer":1},{"info":"⇑⪆1120⩨⇑⪆-231233=⇑⪆1111","layer":0}]}
{"id":171,"expression_no_base_symbol":"(($2717$∠⫱$4458$)⫑)⫣⪄⊒(($2578$⩷∴$1421$)⨕⋳)⨝⩣∺","expression":"((⇑⪆41332∠⫱⇑⪆120313)⫑)⫣⪄⊒((⇑⪆40303⩷∴⇑⪆21141)⨕⋳)⨝⩣∺","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":285,"operation_count":6,"complexity_ratio":47.5,"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":2717,"base":5},"right_expr":{"type":"numeric_atoms","value":4458,"base":5}}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2578,"base":5},"right_expr":{"type":"numeric_atoms","value":1421,"base":5}}}}},"used_operators":["ancx8kZcWl","RabNbG55vr","CgIo77xlM2","QvoQhV0rrE","4X4GscPmMf","9FxExcQeMw"],"dependent_operators":["DZ8iAZOCBD","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","rysDP5nf3Z"],"result":"⇑⪆-140341333","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2717","layer":4},{"info":"number node, value=4458","layer":4},{"info":"compute binary expreesion, left_input=2717, right_input=4458, 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 = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":2},{"info":"number node, value=2578","layer":4},{"info":"number node, value=1421","layer":4},{"info":"compute binary expreesion, left_input=2578, right_input=1421, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2282","layer":3},{"info":"compute unary expreesion, input=2282, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=120444","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=120444, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-715218","layer":1},{"info":"compute unary expreesion, input=-715218, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-715218","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆41332∠⫱⇑⪆120313)⫑)⫣⪄⊒((⇑⪆40303⩷∴⇑⪆21141)⨕⋳)⨝⩣∺=⇑⪆-140341333","reverse_text":"⇑⪆-140341333=((⇑⪆41332∠⫱⇑⪆120313)⫑)⫣⪄⊒((⇑⪆40303⩷∴⇑⪆21141)⨕⋳)⨝⩣∺","cot":[{"info":"⇑⪆41332∠⫱⇑⪆120313=⇑⪆14414","layer":3},{"info":"⇑⪆14414⫑=⇑⪆111404","layer":2},{"info":"⇑⪆40303⩷∴⇑⪆21141=⇑⪆33112","layer":3},{"info":"⇑⪆33112⨕⋳=⇑⪆12323234","layer":2},{"info":"⇑⪆111404⫣⪄⊒⇑⪆12323234=⇑⪆-140341333","layer":1},{"info":"⇑⪆-140341333⨝⩣∺=⇑⪆-140341333","layer":0}]}
{"id":172,"expression_no_base_symbol":"(⩩(($2223$⊱⇼⊻$2534$)∺≝⩲($3846$⊬⨰$2616$)))⨪↰⇹(($4642$⪗)⪘⫢$8630$⫁$1136$)∣($8195$⋳⪒$2610$≬⇓($5231$⪗))","expression":"(⩩((⇑⪆32343⊱⇼⊻⇑⪆40114)∺≝⩲(⇑⪆110341⊬⨰⇑⪆40431)))⨪↰⇹((⇑⪆122032⪗)⪘⫢⇑⪆234010⫁⇑⪆14021)∣(⇑⪆230240⋳⪒⇑⪆40420≬⇓(⇑⪆131411⪗))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":36717,"operation_count":12,"complexity_ratio":3059.75,"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":2223,"base":5},"right_expr":{"type":"numeric_atoms","value":2534,"base":5}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":3846,"base":5},"right_expr":{"type":"numeric_atoms","value":2616,"base":5}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":4642,"base":5}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":8630,"base":5},"right_expr":{"type":"numeric_atoms","value":1136,"base":5}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":8195,"base":5},"right_expr":{"type":"numeric_atoms","value":2610,"base":5}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":5231,"base":5}}}}},"used_operators":["tmPS8pqC7x","kMhfGuqI2H","KPf6cnQVty","FyVja0WsTP","s3Fd5m9Dh2","PPChnnnBFF","oacrs7FA3X","VEQNXA0ZBg","0ajvFaJAv0","jWTQ2TZYIH","12rbrZMWeM"],"dependent_operators":["rJVOvQCfKK","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","cHh1gJQ2o6","AHs5Up7iyr","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=2223","layer":4},{"info":"number node, value=2534","layer":4},{"info":"compute binary expreesion, left_input=2223, right_input=2534, 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=3846","layer":4},{"info":"number node, value=2616","layer":4},{"info":"compute binary expreesion, left_input=3846, right_input=2616, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=13254","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=13254, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"number node, value=4642","layer":4},{"info":"compute unary expreesion, input=4642, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=8630","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=8630, right_input=1136, 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 = 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":"number node, value=8195","layer":4},{"info":"number node, value=2610","layer":4},{"info":"compute binary expreesion, left_input=8195, right_input=2610, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=13493","layer":3},{"info":"number node, value=5231","layer":4},{"info":"compute unary expreesion, input=5231, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13493, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-14066","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-14066, 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=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":0}],"base":5,"result_base":5,"text":"(⩩((⇑⪆32343⊱⇼⊻⇑⪆40114)∺≝⩲(⇑⪆110341⊬⨰⇑⪆40431)))⨪↰⇹((⇑⪆122032⪗)⪘⫢⇑⪆234010⫁⇑⪆14021)∣(⇑⪆230240⋳⪒⇑⪆40420≬⇓(⇑⪆131411⪗))=NaN","reverse_text":"NaN=(⩩((⇑⪆32343⊱⇼⊻⇑⪆40114)∺≝⩲(⇑⪆110341⊬⨰⇑⪆40431)))⨪↰⇹((⇑⪆122032⪗)⪘⫢⇑⪆234010⫁⇑⪆14021)∣(⇑⪆230240⋳⪒⇑⪆40420≬⇓(⇑⪆131411⪗))","cot":[{"info":"⇑⪆32343⊱⇼⊻⇑⪆40114=⇑⪆3214","layer":3},{"info":"⇑⪆110341⊬⨰⇑⪆40431=⇑⪆411004","layer":3},{"info":"⇑⪆3214∺≝⩲⇑⪆411004=⇑⪆1120","layer":2},{"info":"⩩⇑⪆1120=NaN","layer":1},{"info":"⇑⪆122032⪗=NaN","layer":3},{"info":"⇑⪆234010⫁⇑⪆14021=⇑⪆1120","layer":3},{"info":"NaN⪘⫢⇑⪆1120=NaN","layer":2},{"info":"⇑⪆230240⋳⪒⇑⪆40420=⇑⪆412433","layer":3},{"info":"⇑⪆131411⪗=NaN","layer":3},{"info":"⇑⪆412433≬⇓NaN=⇑⪆-422231","layer":2},{"info":"NaN∣⇑⪆-422231=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":173,"expression_no_base_symbol":"(⊥(⇜⊴$1049$)⪟⇏($3903$⊭↱$1010$))⫽⇹≛","expression":"(⊥(⇜⊴⇑⪆13144)⪟⇏(⇑⪆111103⊭↱⇑⪆13020))⫽⇹≛","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":141,"operation_count":5,"complexity_ratio":28.2,"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":1049,"base":5}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3903,"base":5},"right_expr":{"type":"numeric_atoms","value":1010,"base":5}}}}},"used_operators":["NNaDxxp6OQ","Q3PJZHRvZv","GODebY97qR","XwDhCwWbUn","COABgblf1C"],"dependent_operators":["KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","fu6greOZ01","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆2042","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1049","layer":4},{"info":"compute unary expreesion, input=1049, 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=-233850","layer":3},{"info":"number node, value=3903","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=3903, right_input=1010, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5781","layer":3},{"info":"compute binary expreesion, left_input=-233850, right_input=-5781, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":0}],"base":5,"result_base":5,"text":"(⊥(⇜⊴⇑⪆13144)⪟⇏(⇑⪆111103⊭↱⇑⪆13020))⫽⇹≛=⇑⪆2042","reverse_text":"⇑⪆2042=(⊥(⇜⊴⇑⪆13144)⪟⇏(⇑⪆111103⊭↱⇑⪆13020))⫽⇹≛","cot":[{"info":"⇜⊴⇑⪆13144=⇑⪆-24440400","layer":3},{"info":"⇑⪆111103⊭↱⇑⪆13020=⇑⪆-141111","layer":3},{"info":"⇑⪆-24440400⪟⇏⇑⪆-141111=⇑⪆0","layer":2},{"info":"⊥⇑⪆0=⇑⪆0","layer":1},{"info":"⇑⪆0⫽⇹≛=⇑⪆2042","layer":0}]}
{"id":174,"expression_no_base_symbol":"($2535$⪘⫢$3486$⇣⩺⋵($1449$∪⫐$5541$)⊾⪯⋞(($1152$⋩≍≻)⫃⨇$7918$≄⊠$1258$))∌↝(($1549$∲⫓$1036$)⨼⩣$2795$≎⪠$1263$≒∊($2105$+$1193$∽$6198$≄⊠$5267$))","expression":"(⇑⪆40120⪘⫢⇑⪆102421⇣⩺⋵(⇑⪆21244∪⫐⇑⪆134131)⊾⪯⋞((⇑⪆14102⋩≍≻)⫃⨇⇑⪆223133≄⊠⇑⪆20013))∌↝((⇑⪆22144∲⫓⇑⪆13121)⨼⩣⇑⪆42140≎⪠⇑⪆20023≒∊(⇑⪆31410+⇑⪆14233∽⇑⪆144243≄⊠⇑⪆132032))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19777,"operation_count":15,"complexity_ratio":1318.4666666666667,"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":2535,"base":5},"right_expr":{"type":"numeric_atoms","value":3486,"base":5}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1449,"base":5},"right_expr":{"type":"numeric_atoms","value":5541,"base":5}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":1152,"base":5}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":7918,"base":5},"right_expr":{"type":"numeric_atoms","value":1258,"base":5}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1549,"base":5},"right_expr":{"type":"numeric_atoms","value":1036,"base":5}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2795,"base":5},"right_expr":{"type":"numeric_atoms","value":1263,"base":5}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2105,"base":5},"right_expr":{"type":"numeric_atoms","value":1193,"base":5}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":6198,"base":5},"right_expr":{"type":"numeric_atoms","value":5267,"base":5}}}}},"used_operators":["9Isq31Ruls","HK0tfVPux8","F4yD0voBRQ","oacrs7FA3X","7YooWSwCyH","09Ly4LVMIf","WYd1w68Nbz","vXNesLlMH1","5KTvxBwnZo","JxwMv5le6e","i8ToyICDmI","aNhz54LH3e","y4ImoPnbV5","W4YGzv6Whe"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","NTOWxs364D","QMFrweE19q"],"result":"⇑⪆-11240","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2535","layer":4},{"info":"number node, value=3486","layer":4},{"info":"compute binary expreesion, left_input=2535, right_input=3486, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4946","layer":3},{"info":"number node, value=1449","layer":4},{"info":"number node, value=5541","layer":4},{"info":"compute binary expreesion, left_input=1449, right_input=5541, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1449","layer":3},{"info":"compute binary expreesion, left_input=4946, right_input=1449, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=1152","layer":4},{"info":"compute unary expreesion, input=1152, 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=7918","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=7918, right_input=1258, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=24796","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=24796, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-99216","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-99216, 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":1},{"info":"number node, value=1549","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=1549, right_input=1036, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2795","layer":4},{"info":"number node, value=1263","layer":4},{"info":"compute binary expreesion, left_input=2795, right_input=1263, 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=0, right_input=19558, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=2105","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=2105, right_input=1193, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3298","layer":3},{"info":"number node, value=6198","layer":4},{"info":"number node, value=5267","layer":4},{"info":"compute binary expreesion, left_input=6198, right_input=5267, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=88940","layer":3},{"info":"compute binary expreesion, left_input=3298, right_input=88940, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-283132","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-283132, 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=-820, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-820","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆40120⪘⫢⇑⪆102421⇣⩺⋵(⇑⪆21244∪⫐⇑⪆134131)⊾⪯⋞((⇑⪆14102⋩≍≻)⫃⨇⇑⪆223133≄⊠⇑⪆20013))∌↝((⇑⪆22144∲⫓⇑⪆13121)⨼⩣⇑⪆42140≎⪠⇑⪆20023≒∊(⇑⪆31410+⇑⪆14233∽⇑⪆144243≄⊠⇑⪆132032))=⇑⪆-11240","reverse_text":"⇑⪆-11240=(⇑⪆40120⪘⫢⇑⪆102421⇣⩺⋵(⇑⪆21244∪⫐⇑⪆134131)⊾⪯⋞((⇑⪆14102⋩≍≻)⫃⨇⇑⪆223133≄⊠⇑⪆20013))∌↝((⇑⪆22144∲⫓⇑⪆13121)⨼⩣⇑⪆42140≎⪠⇑⪆20023≒∊(⇑⪆31410+⇑⪆14233∽⇑⪆144243≄⊠⇑⪆132032))","cot":[{"info":"⇑⪆40120⪘⫢⇑⪆102421=⇑⪆124241","layer":3},{"info":"⇑⪆21244∪⫐⇑⪆134131=⇑⪆21244","layer":3},{"info":"⇑⪆124241⇣⩺⋵⇑⪆21244=⇑⪆-2020","layer":2},{"info":"⇑⪆14102⋩≍≻=⇑⪆-210","layer":3},{"info":"⇑⪆223133≄⊠⇑⪆20013=⇑⪆1243141","layer":3},{"info":"⇑⪆-210⫃⨇⇑⪆1243141=⇑⪆-11133331","layer":2},{"info":"⇑⪆-2020⊾⪯⋞⇑⪆-11133331=⇑⪆-11240","layer":1},{"info":"⇑⪆22144∲⫓⇑⪆13121=⇑⪆0","layer":3},{"info":"⇑⪆42140≎⪠⇑⪆20023=⇑⪆1111213","layer":3},{"info":"⇑⪆0⨼⩣⇑⪆1111213=NaN","layer":2},{"info":"⇑⪆31410+⇑⪆14233=⇑⪆101143","layer":3},{"info":"⇑⪆144243≄⊠⇑⪆132032=⇑⪆10321230","layer":3},{"info":"⇑⪆101143∽⇑⪆10321230=⇑⪆-33030012","layer":2},{"info":"NaN≒∊⇑⪆-33030012=NaN","layer":1},{"info":"⇑⪆-11240∌↝NaN=⇑⪆-11240","layer":0}]}
{"id":175,"expression_no_base_symbol":"(($1214$⋾⨃∁$3824$)∘($2420$≒∊$1204$))⩖⊿(⨰⫟⨤($8806$⩱))⪨⊡(($7282$⊨$3457$⊉≛↸($1676$⪒$4042$))≭($4216$∠⫱$2209$)↢($2929$⫍⨯↯))","expression":"((⇑⪆14324⋾⨃∁⇑⪆110244)∘(⇑⪆34140≒∊⇑⪆14304))⩖⊿(⨰⫟⨤(⇑⪆240211⩱))⪨⊡((⇑⪆213112⊨⇑⪆102312⊉≛↸(⇑⪆23201⪒⇑⪆112132))≭(⇑⪆113331∠⫱⇑⪆32314)↢(⇑⪆43204⫍⨯↯))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":217196,"operation_count":14,"complexity_ratio":15514.0,"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":1214,"base":5},"right_expr":{"type":"numeric_atoms","value":3824,"base":5}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2420,"base":5},"right_expr":{"type":"numeric_atoms","value":1204,"base":5}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":8806,"base":5}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":7282,"base":5},"right_expr":{"type":"numeric_atoms","value":3457,"base":5}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1676,"base":5},"right_expr":{"type":"numeric_atoms","value":4042,"base":5}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4216,"base":5},"right_expr":{"type":"numeric_atoms","value":2209,"base":5}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":2929,"base":5}}}}},"used_operators":["kuIXHzHcAH","RZ5CV9rWsJ","Z5m6OM72h2","212REbPD9h","5KTvxBwnZo","Tw270M8GLb","uyq1hVkAcj","rxpJgHHUmx","DZ8iAZOCBD","vg4gO5BX6G","f6k1SAg4EE","WR6HLWljOP","QvoQhV0rrE","ZcwmYACASQ"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","eH2TOUuTDT","rysDP5nf3Z","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1214","layer":4},{"info":"number node, value=3824","layer":4},{"info":"compute binary expreesion, left_input=1214, right_input=3824, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=146183778","layer":3},{"info":"number node, value=2420","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=2420, right_input=1204, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1936","layer":3},{"info":"compute binary expreesion, left_input=146183778, right_input=-1936, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-146183398","layer":2},{"info":"number node, value=8806","layer":4},{"info":"compute unary expreesion, input=8806, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-53086","layer":3},{"info":"compute unary expreesion, input=-53086, 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=-146183398, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"number node, value=7282","layer":4},{"info":"number node, value=3457","layer":4},{"info":"compute binary expreesion, left_input=7282, right_input=3457, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=30159","layer":3},{"info":"number node, value=1676","layer":4},{"info":"number node, value=4042","layer":4},{"info":"compute binary expreesion, left_input=1676, right_input=4042, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5718","layer":3},{"info":"compute binary expreesion, left_input=30159, right_input=-5718, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=60318","layer":2},{"info":"number node, value=4216","layer":4},{"info":"number node, value=2209","layer":4},{"info":"compute binary expreesion, left_input=4216, right_input=2209, 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=2929","layer":4},{"info":"compute unary expreesion, input=2929, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=2896","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=2896, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=750","layer":2},{"info":"compute binary expreesion, left_input=60318, right_input=750, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆14324⋾⨃∁⇑⪆110244)∘(⇑⪆34140≒∊⇑⪆14304))⩖⊿(⨰⫟⨤(⇑⪆240211⩱))⪨⊡((⇑⪆213112⊨⇑⪆102312⊉≛↸(⇑⪆23201⪒⇑⪆112132))≭(⇑⪆113331∠⫱⇑⪆32314)↢(⇑⪆43204⫍⨯↯))=NaN","reverse_text":"NaN=((⇑⪆14324⋾⨃∁⇑⪆110244)∘(⇑⪆34140≒∊⇑⪆14304))⩖⊿(⨰⫟⨤(⇑⪆240211⩱))⪨⊡((⇑⪆213112⊨⇑⪆102312⊉≛↸(⇑⪆23201⪒⇑⪆112132))≭(⇑⪆113331∠⫱⇑⪆32314)↢(⇑⪆43204⫍⨯↯))","cot":[{"info":"⇑⪆14324⋾⨃∁⇑⪆110244=⇑⪆244410340103","layer":3},{"info":"⇑⪆34140≒∊⇑⪆14304=⇑⪆-30221","layer":3},{"info":"⇑⪆244410340103∘⇑⪆-30221=⇑⪆-244410332043","layer":2},{"info":"⇑⪆240211⩱=⇑⪆-3144321","layer":3},{"info":"⨰⫟⨤⇑⪆-3144321=NaN","layer":2},{"info":"⇑⪆-244410332043⩖⊿NaN=NaN","layer":1},{"info":"⇑⪆213112⊨⇑⪆102312=⇑⪆1431114","layer":3},{"info":"⇑⪆23201⪒⇑⪆112132=⇑⪆-140333","layer":3},{"info":"⇑⪆1431114⊉≛↸⇑⪆-140333=⇑⪆3412233","layer":2},{"info":"⇑⪆113331∠⫱⇑⪆32314=⇑⪆14414","layer":3},{"info":"⇑⪆43204⫍⨯↯=⇑⪆43041","layer":3},{"info":"⇑⪆14414↢⇑⪆43041=⇑⪆11000","layer":2},{"info":"⇑⪆3412233≭⇑⪆11000=NaN","layer":1},{"info":"NaN⪨⊡NaN=NaN","layer":0}]}
{"id":176,"expression_no_base_symbol":"((⪝⪂⫅$1127$⋹⋡⊁$3623$)⫲)⨿(⊁⨺($1820$⇡⇂$1268$∀⇚≩$1449$⪚$1177$))","expression":"((⪝⪂⫅⇑⪆14002⋹⋡⊁⇑⪆103443)⫲)⨿(⊁⨺(⇑⪆24240⇡⇂⇑⪆20033∀⇚≩⇑⪆21244⪚⇑⪆14202))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":69624,"operation_count":8,"complexity_ratio":8703.0,"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":1127,"base":5},"right_expr":{"type":"numeric_atoms","value":3623,"base":5}}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1820,"base":5},"right_expr":{"type":"numeric_atoms","value":1268,"base":5}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1449,"base":5},"right_expr":{"type":"numeric_atoms","value":1177,"base":5}}}}},"used_operators":["abYXlopdE0","9xnGDUPbC6","XTarYq4gQB","As8RqfVLgs","PxiHyQbrIp","LRNGc0VcxI","UMwdvZNt44","HrjLwUk87U"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","9HNa5Wba9A","8w2t5hMYqp","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","X99M06cbEe","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"⇑⪆-2234","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1127","layer":4},{"info":"number node, value=3623","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=3623, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4373","layer":3},{"info":"compute unary expreesion, input=4373, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-642831","layer":2},{"info":"compute unary expreesion, input=-642831, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=1285541","layer":1},{"info":"number node, value=1820","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=1820, right_input=1268, 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=1449","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=1449, right_input=1177, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=188","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=188, 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 = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1285541, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":5,"result_base":5,"text":"((⪝⪂⫅⇑⪆14002⋹⋡⊁⇑⪆103443)⫲)⨿(⊁⨺(⇑⪆24240⇡⇂⇑⪆20033∀⇚≩⇑⪆21244⪚⇑⪆14202))=⇑⪆-2234","reverse_text":"⇑⪆-2234=((⪝⪂⫅⇑⪆14002⋹⋡⊁⇑⪆103443)⫲)⨿(⊁⨺(⇑⪆24240⇡⇂⇑⪆20033∀⇚≩⇑⪆21244⪚⇑⪆14202))","cot":[{"info":"⇑⪆14002⋹⋡⊁⇑⪆103443=⇑⪆114443","layer":3},{"info":"⪝⪂⫅⇑⪆114443=⇑⪆-131032311","layer":2},{"info":"⇑⪆-131032311⫲=⇑⪆312114131","layer":1},{"info":"⇑⪆24240⇡⇂⇑⪆20033=NaN","layer":3},{"info":"⇑⪆21244⪚⇑⪆14202=⇑⪆1223","layer":3},{"info":"NaN∀⇚≩⇑⪆1223=NaN","layer":2},{"info":"⊁⨺NaN=NaN","layer":1},{"info":"⇑⪆312114131⨿NaN=⇑⪆-2234","layer":0}]}
{"id":177,"expression_no_base_symbol":"↡(↯⪼($7734$↱$3273$))⫁((⨛$2194$)∳⫺($8707$⩚⊴⇥$3182$))","expression":"↡(↯⪼(⇑⪆221414↱⇑⪆101043))⫁((⨛⇑⪆32234)∳⫺(⇑⪆234312⩚⊴⇥⇑⪆100212))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1044,"operation_count":7,"complexity_ratio":149.14285714285714,"tree":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":7734,"base":5},"right_expr":{"type":"numeric_atoms","value":3273,"base":5}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":2194,"base":5}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8707,"base":5},"right_expr":{"type":"numeric_atoms","value":3182,"base":5}}}}},"used_operators":["MXaNJeIAZ3","0ajvFaJAv0","8jW3W4yZS5","SR5kFfdi6N","AzXXKTstlj","CoMdbyAt7R","NTOWxs364D"],"dependent_operators":["DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","cHh1gJQ2o6","AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⇑⪆21230","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7734","layer":4},{"info":"number node, value=3273","layer":4},{"info":"compute binary expreesion, left_input=7734, right_input=3273, 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=-9297","layer":3},{"info":"compute unary expreesion, input=-9297, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=17677","layer":2},{"info":"number node, value=2194","layer":4},{"info":"compute unary expreesion, input=2194, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=8707","layer":4},{"info":"number node, value=3182","layer":4},{"info":"compute binary expreesion, left_input=8707, right_input=3182, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12010","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12010, 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=17677, right_input=-260, 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 = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=1440","layer":0}],"base":5,"result_base":5,"text":"↡(↯⪼(⇑⪆221414↱⇑⪆101043))⫁((⨛⇑⪆32234)∳⫺(⇑⪆234312⩚⊴⇥⇑⪆100212))=⇑⪆21230","reverse_text":"⇑⪆21230=↡(↯⪼(⇑⪆221414↱⇑⪆101043))⫁((⨛⇑⪆32234)∳⫺(⇑⪆234312⩚⊴⇥⇑⪆100212))","cot":[{"info":"⇑⪆221414↱⇑⪆101043=⇑⪆-244142","layer":3},{"info":"↯⪼⇑⪆-244142=⇑⪆1031202","layer":2},{"info":"⨛⇑⪆32234=NaN","layer":3},{"info":"⇑⪆234312⩚⊴⇥⇑⪆100212=⇑⪆-341020","layer":3},{"info":"NaN∳⫺⇑⪆-341020=⇑⪆-2020","layer":2},{"info":"⇑⪆1031202⫁⇑⪆-2020=⇑⪆1120","layer":1},{"info":"↡⇑⪆1120=⇑⪆21230","layer":0}]}
{"id":178,"expression_no_base_symbol":"($2688$⨭⪣$5413$)⨔⇊($3455$↢$1887$)⩍⋽⫝̸($3420$⩌⋺$1044$%($1167$⩟))⪔($1168$⊉↱≁$4086$→⨶⪴$3033$≁$1881$↡⊰⫅(≦∁(∂$4424$)))","expression":"(⇑⪆41223⨭⪣⇑⪆133123)⨔⇊(⇑⪆102310↢⇑⪆30022)⩍⋽⫝̸(⇑⪆102140⩌⋺⇑⪆13134%(⇑⪆14132⩟))⪔(⇑⪆14133⊉↱≁⇑⪆112321→⨶⪴⇑⪆44113≁⇑⪆30011↡⊰⫅(≦∁(∂⇑⪆120144)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":285,"operation_count":14,"complexity_ratio":20.357142857142858,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2688,"base":5},"right_expr":{"type":"numeric_atoms","value":5413,"base":5}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":3455,"base":5},"right_expr":{"type":"numeric_atoms","value":1887,"base":5}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3420,"base":5},"right_expr":{"type":"numeric_atoms","value":1044,"base":5}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":1167,"base":5}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1168,"base":5},"right_expr":{"type":"numeric_atoms","value":4086,"base":5}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3033,"base":5},"right_expr":{"type":"numeric_atoms","value":1881,"base":5}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4424,"base":5}}}}},"used_operators":["GjBEYRfMaF","BiWNJpBvwn","JclMnS0uGI","kn8WO9XteQ","WR6HLWljOP","k8jYdgA6NY","g7Hmc5v1ko","fOIeswaMU4","VCtxkLNOzz","bF6eod5Gvf","w2P8NbNXyL","8N2wDY1A35","9ICcGScMcE","Uaa54Peajs"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","Ph9nP6C5qx","xUOZtlo3hN","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2688","layer":4},{"info":"number node, value=5413","layer":4},{"info":"compute binary expreesion, left_input=2688, right_input=5413, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1409","layer":3},{"info":"number node, value=3455","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=3455, right_input=1887, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2971","layer":3},{"info":"compute binary expreesion, left_input=1409, right_input=2971, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2971","layer":2},{"info":"number node, value=3420","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=3420, right_input=1044, 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=-4585","layer":3},{"info":"number node, value=1167","layer":4},{"info":"compute unary expreesion, input=1167, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-9276","layer":3},{"info":"compute binary expreesion, left_input=-4585, right_input=-9276, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-4585","layer":2},{"info":"compute binary expreesion, left_input=2971, right_input=-4585, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=7083","layer":1},{"info":"number node, value=1168","layer":4},{"info":"number node, value=4086","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=4086, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-13950","layer":3},{"info":"number node, value=3033","layer":4},{"info":"number node, value=1881","layer":4},{"info":"compute binary expreesion, left_input=3033, right_input=1881, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=31943","layer":3},{"info":"compute binary expreesion, left_input=-13950, right_input=31943, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-95829","layer":2},{"info":"number node, value=4424","layer":4},{"info":"compute unary expreesion, input=4424, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-95829, 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":"compute binary expreesion, left_input=7083, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆41223⨭⪣⇑⪆133123)⨔⇊(⇑⪆102310↢⇑⪆30022)⩍⋽⫝̸(⇑⪆102140⩌⋺⇑⪆13134%(⇑⪆14132⩟))⪔(⇑⪆14133⊉↱≁⇑⪆112321→⨶⪴⇑⪆44113≁⇑⪆30011↡⊰⫅(≦∁(∂⇑⪆120144)))=NaN","reverse_text":"NaN=(⇑⪆41223⨭⪣⇑⪆133123)⨔⇊(⇑⪆102310↢⇑⪆30022)⩍⋽⫝̸(⇑⪆102140⩌⋺⇑⪆13134%(⇑⪆14132⩟))⪔(⇑⪆14133⊉↱≁⇑⪆112321→⨶⪴⇑⪆44113≁⇑⪆30011↡⊰⫅(≦∁(∂⇑⪆120144)))","cot":[{"info":"⇑⪆41223⨭⪣⇑⪆133123=⇑⪆21114","layer":3},{"info":"⇑⪆102310↢⇑⪆30022=⇑⪆43341","layer":3},{"info":"⇑⪆21114⨔⇊⇑⪆43341=⇑⪆43341","layer":2},{"info":"⇑⪆102140⩌⋺⇑⪆13134=⇑⪆-121320","layer":3},{"info":"⇑⪆14132⩟=⇑⪆-244101","layer":3},{"info":"⇑⪆-121320%⇑⪆-244101=⇑⪆-121320","layer":2},{"info":"⇑⪆43341⩍⋽⫝̸⇑⪆-121320=⇑⪆211313","layer":1},{"info":"⇑⪆14133⊉↱≁⇑⪆112321=⇑⪆-421300","layer":3},{"info":"⇑⪆44113≁⇑⪆30011=⇑⪆2010233","layer":3},{"info":"⇑⪆-421300→⨶⪴⇑⪆2010233=⇑⪆-11031304","layer":2},{"info":"∂⇑⪆120144=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"⇑⪆-11031304↡⊰⫅NaN=NaN","layer":1},{"info":"⇑⪆211313⪔NaN=NaN","layer":0}]}
{"id":179,"expression_no_base_symbol":"($1827$⊴$2095$⊋($2590$⩒⫫$4168$)≦≮≮)⨽((≑⋹$7059$)⨽∌($3877$⨟⋌⩍$2532$)⊍⩺⋍$2344$⊉↱≁$4207$⇷$1504$⩇∃⫛$4427$)","expression":"(⇑⪆24302⊴⇑⪆31340⊋(⇑⪆40330⩒⫫⇑⪆113133)≦≮≮)⨽((≑⋹⇑⪆211214)⨽∌(⇑⪆111002⨟⋌⩍⇑⪆40112)⊍⩺⋍⇑⪆33334⊉↱≁⇑⪆113312⇷⇑⪆22004⩇∃⫛⇑⪆120202)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":43411,"operation_count":12,"complexity_ratio":3617.5833333333335,"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":1827,"base":5},"right_expr":{"type":"numeric_atoms","value":2095,"base":5}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2590,"base":5},"right_expr":{"type":"numeric_atoms","value":4168,"base":5}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":7059,"base":5}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3877,"base":5},"right_expr":{"type":"numeric_atoms","value":2532,"base":5}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2344,"base":5},"right_expr":{"type":"numeric_atoms","value":4207,"base":5}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1504,"base":5},"right_expr":{"type":"numeric_atoms","value":4427,"base":5}}}}},"used_operators":["8HhzD0ZcuI","D4vGDi5EA2","W4tP9CfskL","Nsiff2A1zJ","KFSx94NKJn","OXDGMFPWZM","9samAPKr6k","6B9nyZLogK","rGHVDoGpnC","mp7IySMOzn","w2P8NbNXyL","1aApVXNlOP"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","dWAJyo7jo9","14qkJME0vr","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","Tcnh7f0tEr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=1827","layer":4},{"info":"number node, value=2095","layer":4},{"info":"compute binary expreesion, left_input=1827, right_input=2095, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2590","layer":4},{"info":"number node, value=4168","layer":4},{"info":"compute binary expreesion, left_input=2590, right_input=4168, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2288","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2288, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":1},{"info":"number node, value=7059","layer":4},{"info":"compute unary expreesion, input=7059, 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=3877","layer":4},{"info":"number node, value=2532","layer":4},{"info":"compute binary expreesion, left_input=3877, right_input=2532, 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=1650, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"number node, value=2344","layer":4},{"info":"number node, value=4207","layer":4},{"info":"compute binary expreesion, left_input=2344, right_input=4207, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-2916","layer":3},{"info":"number node, value=1504","layer":4},{"info":"number node, value=4427","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=4427, 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=3396","layer":3},{"info":"compute binary expreesion, left_input=-2916, right_input=3396, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6792","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6792, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆24302⊴⇑⪆31340⊋(⇑⪆40330⩒⫫⇑⪆113133)≦≮≮)⨽((≑⋹⇑⪆211214)⨽∌(⇑⪆111002⨟⋌⩍⇑⪆40112)⊍⩺⋍⇑⪆33334⊉↱≁⇑⪆113312⇷⇑⪆22004⩇∃⫛⇑⪆120202)=NaN","reverse_text":"NaN=(⇑⪆24302⊴⇑⪆31340⊋(⇑⪆40330⩒⫫⇑⪆113133)≦≮≮)⨽((≑⋹⇑⪆211214)⨽∌(⇑⪆111002⨟⋌⩍⇑⪆40112)⊍⩺⋍⇑⪆33334⊉↱≁⇑⪆113312⇷⇑⪆22004⩇∃⫛⇑⪆120202)","cot":[{"info":"⇑⪆24302⊴⇑⪆31340=NaN","layer":3},{"info":"⇑⪆40330⩒⫫⇑⪆113133=⇑⪆33123","layer":3},{"info":"NaN⊋⇑⪆33123=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"≑⋹⇑⪆211214=⇑⪆23100","layer":3},{"info":"⇑⪆111002⨟⋌⩍⇑⪆40112=NaN","layer":3},{"info":"⇑⪆23100⨽∌NaN=NaN","layer":2},{"info":"⇑⪆33334⊉↱≁⇑⪆113312=⇑⪆-43131","layer":3},{"info":"⇑⪆22004⩇∃⫛⇑⪆120202=⇑⪆102041","layer":3},{"info":"⇑⪆-43131⇷⇑⪆102041=⇑⪆204132","layer":2},{"info":"NaN⊍⩺⋍⇑⪆204132=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":180,"expression_no_base_symbol":"(($3065$⫌⩉⩟$2780$)⊹≧⊝)⪥($3862$⋅⇍$1183$)⇡⇂($4928$≭$4553$)∽$1810$⨐$6636$⩖⊿$2651$⊕∕$5154$⨳⩥⨓($3339$⩹$1046$)⋝⋈⪟(⪹$1028$)","expression":"((⇑⪆44230⫌⩉⩟⇑⪆42110)⊹≧⊝)⪥(⇑⪆110422⋅⇍⇑⪆14213)⇡⇂(⇑⪆124203≭⇑⪆121203)∽⇑⪆24220⨐⇑⪆203021⩖⊿⇑⪆41101⊕∕⇑⪆131104⨳⩥⨓(⇑⪆101324⩹⇑⪆13141)⋝⋈⪟(⪹⇑⪆13103)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":15978,"operation_count":14,"complexity_ratio":1141.2857142857142,"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":3065,"base":5},"right_expr":{"type":"numeric_atoms","value":2780,"base":5}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3862,"base":5},"right_expr":{"type":"numeric_atoms","value":1183,"base":5}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4928,"base":5},"right_expr":{"type":"numeric_atoms","value":4553,"base":5}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1810,"base":5},"right_expr":{"type":"numeric_atoms","value":6636,"base":5}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2651,"base":5},"right_expr":{"type":"numeric_atoms","value":5154,"base":5}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3339,"base":5},"right_expr":{"type":"numeric_atoms","value":1046,"base":5}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1028,"base":5}}}}},"used_operators":["y4ImoPnbV5","QbnwKVWMIQ","LxFB4K6j0n","XIIwhv8d0m","UMwdvZNt44","AdZkA7nFnk","rxpJgHHUmx","nCS4ZIUYfx","RZ5CV9rWsJ","Noe24qw2ks","9cloC0Ngie","2DDjHMKMc0","2Wsdkap16l","USyYr0JgAa"],"dependent_operators":["NTOWxs364D","QMFrweE19q","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","tifHPKVTfV"],"result":"⇑⪆-113003","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3065","layer":4},{"info":"number node, value=2780","layer":4},{"info":"compute binary expreesion, left_input=3065, right_input=2780, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=200","layer":2},{"info":"number node, value=3862","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=3862, right_input=1183, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=4928","layer":4},{"info":"number node, value=4553","layer":4},{"info":"compute binary expreesion, left_input=4928, right_input=4553, 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=-22, 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=-19","layer":2},{"info":"compute binary expreesion, left_input=200, right_input=-19, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":1},{"info":"number node, value=1810","layer":4},{"info":"number node, value=6636","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=6636, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3620","layer":3},{"info":"number node, value=2651","layer":4},{"info":"number node, value=5154","layer":4},{"info":"compute binary expreesion, left_input=2651, right_input=5154, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2651","layer":3},{"info":"compute binary expreesion, left_input=-3620, right_input=2651, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-3388","layer":2},{"info":"number node, value=3339","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=3339, right_input=1046, 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=1044","layer":3},{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-848","layer":3},{"info":"compute binary expreesion, left_input=1044, right_input=-848, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1044","layer":2},{"info":"compute binary expreesion, left_input=-3388, right_input=1044, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4432","layer":1},{"info":"compute binary expreesion, left_input=-1798, right_input=4432, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-4128","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆44230⫌⩉⩟⇑⪆42110)⊹≧⊝)⪥(⇑⪆110422⋅⇍⇑⪆14213)⇡⇂(⇑⪆124203≭⇑⪆121203)∽⇑⪆24220⨐⇑⪆203021⩖⊿⇑⪆41101⊕∕⇑⪆131104⨳⩥⨓(⇑⪆101324⩹⇑⪆13141)⋝⋈⪟(⪹⇑⪆13103)=⇑⪆-113003","reverse_text":"⇑⪆-113003=((⇑⪆44230⫌⩉⩟⇑⪆42110)⊹≧⊝)⪥(⇑⪆110422⋅⇍⇑⪆14213)⇡⇂(⇑⪆124203≭⇑⪆121203)∽⇑⪆24220⨐⇑⪆203021⩖⊿⇑⪆41101⊕∕⇑⪆131104⨳⩥⨓(⇑⪆101324⩹⇑⪆13141)⋝⋈⪟(⪹⇑⪆13103)","cot":[{"info":"⇑⪆44230⫌⩉⩟⇑⪆42110=⇑⪆-200","layer":3},{"info":"⇑⪆-200⊹≧⊝=⇑⪆1300","layer":2},{"info":"⇑⪆110422⋅⇍⇑⪆14213=⇑⪆-42","layer":3},{"info":"⇑⪆124203≭⇑⪆121203=NaN","layer":3},{"info":"⇑⪆-42⇡⇂NaN=⇑⪆-34","layer":2},{"info":"⇑⪆1300⪥⇑⪆-34=⇑⪆-24143","layer":1},{"info":"⇑⪆24220⨐⇑⪆203021=⇑⪆-103440","layer":3},{"info":"⇑⪆41101⊕∕⇑⪆131104=⇑⪆41101","layer":3},{"info":"⇑⪆-103440⩖⊿⇑⪆41101=⇑⪆-102023","layer":2},{"info":"⇑⪆101324⩹⇑⪆13141=⇑⪆13134","layer":3},{"info":"⪹⇑⪆13103=⇑⪆-11343","layer":3},{"info":"⇑⪆13134⋝⋈⪟⇑⪆-11343=⇑⪆13134","layer":2},{"info":"⇑⪆-102023⨳⩥⨓⇑⪆13134=⇑⪆120212","layer":1},{"info":"⇑⪆-24143∽⇑⪆120212=⇑⪆-113003","layer":0}]}
{"id":181,"expression_no_base_symbol":"((⇾⩊⇾$5266$)⪝($6306$⪁$4451$)⫸⊐($4771$⪭$2272$)↹⊜($2467$⋆⋳))⊲⩕⊾(≑⋹($3724$⩧⪆$8038$≥⨤⩑($1234$≓∲$4229$)))","expression":"((⇾⩊⇾⇑⪆132031)⪝(⇑⪆200211⪁⇑⪆120301)⫸⊐(⇑⪆123041⪭⇑⪆33042)↹⊜(⇑⪆34332⋆⋳))⊲⩕⊾(≑⋹(⇑⪆104344⩧⪆⇑⪆224123≥⨤⩑(⇑⪆14414≓∲⇑⪆113404)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":204583450,"operation_count":12,"complexity_ratio":17048620.833333332,"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":5266,"base":5}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":6306,"base":5},"right_expr":{"type":"numeric_atoms","value":4451,"base":5}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":4771,"base":5},"right_expr":{"type":"numeric_atoms","value":2272,"base":5}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":2467,"base":5}}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3724,"base":5},"right_expr":{"type":"numeric_atoms","value":8038,"base":5}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1234,"base":5},"right_expr":{"type":"numeric_atoms","value":4229,"base":5}}}}},"used_operators":["DmTXOeWf9t","mqXw5SEYmG","wicAB68Tmb","bx9Z9DAK5y","I7sXao9hZE","9bazX3JMtO","j9kHMeSvPp","6MpZysEj17","6B9nyZLogK","gJLn6v0xnP","Ikt5ks8PT7","s1XTVnmDOJ"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","COABgblf1C","xUOZtlo3hN","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","eewbuw0ToL","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5266","layer":4},{"info":"compute unary expreesion, input=5266, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-53880","layer":3},{"info":"number node, value=6306","layer":4},{"info":"number node, value=4451","layer":4},{"info":"compute binary expreesion, left_input=6306, right_input=4451, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-53880, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"number node, value=4771","layer":4},{"info":"number node, value=2272","layer":4},{"info":"compute binary expreesion, left_input=4771, right_input=2272, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=2467","layer":4},{"info":"compute unary expreesion, input=2467, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-4966","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-4966, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=39632","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=39632, 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=3724","layer":4},{"info":"number node, value=8038","layer":4},{"info":"compute binary expreesion, left_input=3724, right_input=8038, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-8038","layer":3},{"info":"number node, value=1234","layer":4},{"info":"number node, value=4229","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=4229, 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=13123","layer":3},{"info":"compute binary expreesion, left_input=-8038, right_input=13123, 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 = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1650, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇾⩊⇾⇑⪆132031)⪝(⇑⪆200211⪁⇑⪆120301)⫸⊐(⇑⪆123041⪭⇑⪆33042)↹⊜(⇑⪆34332⋆⋳))⊲⩕⊾(≑⋹(⇑⪆104344⩧⪆⇑⪆224123≥⨤⩑(⇑⪆14414≓∲⇑⪆113404)))=NaN","reverse_text":"NaN=((⇾⩊⇾⇑⪆132031)⪝(⇑⪆200211⪁⇑⪆120301)⫸⊐(⇑⪆123041⪭⇑⪆33042)↹⊜(⇑⪆34332⋆⋳))⊲⩕⊾(≑⋹(⇑⪆104344⩧⪆⇑⪆224123≥⨤⩑(⇑⪆14414≓∲⇑⪆113404)))","cot":[{"info":"⇾⩊⇾⇑⪆132031=⇑⪆-3211010","layer":3},{"info":"⇑⪆200211⪁⇑⪆120301=NaN","layer":3},{"info":"⇑⪆-3211010⪝NaN=NaN","layer":2},{"info":"⇑⪆123041⪭⇑⪆33042=⇑⪆10","layer":3},{"info":"⇑⪆34332⋆⋳=⇑⪆-124331","layer":3},{"info":"⇑⪆10↹⊜⇑⪆-124331=⇑⪆2232012","layer":2},{"info":"NaN⫸⊐⇑⪆2232012=NaN","layer":1},{"info":"⇑⪆104344⩧⪆⇑⪆224123=⇑⪆-224123","layer":3},{"info":"⇑⪆14414≓∲⇑⪆113404=⇑⪆404443","layer":3},{"info":"⇑⪆-224123≥⨤⩑⇑⪆404443=⇑⪆14414","layer":2},{"info":"≑⋹⇑⪆14414=⇑⪆23100","layer":1},{"info":"NaN⊲⩕⊾⇑⪆23100=NaN","layer":0}]}
{"id":182,"expression_no_base_symbol":"⇙⪊(($2469$≚⊃≕$3243$)↳∿⪆$1743$⩁⩘$2000$⋝⋈⪟(⇘$3857$)⫒⫫(≦∁$1104$))","expression":"⇙⪊((⇑⪆34334≚⊃≕⇑⪆100433)↳∿⪆⇑⪆23433⩁⩘⇑⪆31000⋝⋈⪟(⇘⇑⪆110412)⫒⫫(≦∁⇑⪆13404))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10372,"operation_count":8,"complexity_ratio":1296.5,"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":2469,"base":5},"right_expr":{"type":"numeric_atoms","value":3243,"base":5}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1743,"base":5},"right_expr":{"type":"numeric_atoms","value":2000,"base":5}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":3857,"base":5}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1104,"base":5}}}}},"used_operators":["pB6Fcnrjim","2DDjHMKMc0","Cw4SuJJGHO","Bmrmz2XGnR","gub5Cegaqo","6Ko8hGgeMq","MGuIdZPyUC","9ICcGScMcE"],"dependent_operators":["DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","DpFCA1CohY","IWmyXbctLI","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2469","layer":4},{"info":"number node, value=3243","layer":4},{"info":"compute binary expreesion, left_input=2469, right_input=3243, 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=1743","layer":4},{"info":"number node, value=2000","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=2000, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=8948","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=8948, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=3857","layer":4},{"info":"compute unary expreesion, input=3857, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=225802","layer":3},{"info":"number node, value=1104","layer":4},{"info":"compute unary expreesion, input=1104, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1104","layer":3},{"info":"compute binary expreesion, left_input=225802, right_input=1104, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', 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":5,"result_base":5,"text":"⇙⪊((⇑⪆34334≚⊃≕⇑⪆100433)↳∿⪆⇑⪆23433⩁⩘⇑⪆31000⋝⋈⪟(⇘⇑⪆110412)⫒⫫(≦∁⇑⪆13404))=NaN","reverse_text":"NaN=⇙⪊((⇑⪆34334≚⊃≕⇑⪆100433)↳∿⪆⇑⪆23433⩁⩘⇑⪆31000⋝⋈⪟(⇘⇑⪆110412)⫒⫫(≦∁⇑⪆13404))","cot":[{"info":"⇑⪆34334≚⊃≕⇑⪆100433=⇑⪆232","layer":3},{"info":"⇑⪆23433⩁⩘⇑⪆31000=⇑⪆241243","layer":3},{"info":"⇑⪆232↳∿⪆⇑⪆241243=NaN","layer":2},{"info":"⇘⇑⪆110412=⇑⪆24211202","layer":3},{"info":"≦∁⇑⪆13404=⇑⪆13404","layer":3},{"info":"⇑⪆24211202⫒⫫⇑⪆13404=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"⇙⪊NaN=NaN","layer":0}]}
{"id":183,"expression_no_base_symbol":"(≛$2041$⪄$1301$)⨜⨶(↪⫪⫘($1098$⨰$1003$))⊝⪿⪼(($5089$∼$3420$)⨽∌($4334$⨻⩈⩔$2282$)⩷∴($1380$≄⊠$4508$⫦⪉$1239$⨔≚≋$2245$))","expression":"(≛⇑⪆31131⪄⇑⪆20201)⨜⨶(↪⫪⫘(⇑⪆13343⨰⇑⪆13003))⊝⪿⪼((⇑⪆130324∼⇑⪆102140)⨽∌(⇑⪆114314⨻⩈⩔⇑⪆33112)⩷∴(⇑⪆21010≄⊠⇑⪆121013⫦⪉⇑⪆14424⨔≚≋⇑⪆32440))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":604,"operation_count":13,"complexity_ratio":46.46153846153846,"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":2041,"base":5},"right_expr":{"type":"numeric_atoms","value":1301,"base":5}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1098,"base":5},"right_expr":{"type":"numeric_atoms","value":1003,"base":5}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5089,"base":5},"right_expr":{"type":"numeric_atoms","value":3420,"base":5}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":4334,"base":5},"right_expr":{"type":"numeric_atoms","value":2282,"base":5}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1380,"base":5},"right_expr":{"type":"numeric_atoms","value":4508,"base":5}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1239,"base":5},"right_expr":{"type":"numeric_atoms","value":2245,"base":5}}}}},"used_operators":["3Oe9XWJUTD","HiPekx5b7W","W7eaUhjymW","SUmda5xLS4","9dWsAM3GFt","eewbuw0ToL","9FxExcQeMw","9samAPKr6k","DyGG3AbaNP","nEsXyWgiOK","wscyQdcy20","vXNesLlMH1","Z57zeUYC9z"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"⇑⪆-141300122443","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2041","layer":4},{"info":"number node, value=1301","layer":4},{"info":"compute binary expreesion, left_input=2041, right_input=1301, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-303361","layer":3},{"info":"compute unary expreesion, input=-303361, 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=-606959","layer":2},{"info":"number node, value=1098","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=1003, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=105","layer":3},{"info":"compute unary expreesion, input=105, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=-606959, right_input=20, 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=-6068687","layer":1},{"info":"number node, value=5089","layer":4},{"info":"number node, value=3420","layer":4},{"info":"compute binary expreesion, left_input=5089, right_input=3420, 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=4334","layer":4},{"info":"number node, value=2282","layer":4},{"info":"compute binary expreesion, left_input=4334, right_input=2282, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=26271","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=26271, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=1380","layer":4},{"info":"number node, value=4508","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=4508, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=76796","layer":3},{"info":"number node, value=1239","layer":4},{"info":"number node, value=2245","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=2245, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=76796, right_input=9872, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-148692","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-148692, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=297352","layer":1},{"info":"compute binary expreesion, left_input=-6068687, right_input=297352, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-91020373","layer":0}],"base":5,"result_base":5,"text":"(≛⇑⪆31131⪄⇑⪆20201)⨜⨶(↪⫪⫘(⇑⪆13343⨰⇑⪆13003))⊝⪿⪼((⇑⪆130324∼⇑⪆102140)⨽∌(⇑⪆114314⨻⩈⩔⇑⪆33112)⩷∴(⇑⪆21010≄⊠⇑⪆121013⫦⪉⇑⪆14424⨔≚≋⇑⪆32440))=⇑⪆-141300122443","reverse_text":"⇑⪆-141300122443=(≛⇑⪆31131⪄⇑⪆20201)⨜⨶(↪⫪⫘(⇑⪆13343⨰⇑⪆13003))⊝⪿⪼((⇑⪆130324∼⇑⪆102140)⨽∌(⇑⪆114314⨻⩈⩔⇑⪆33112)⩷∴(⇑⪆21010≄⊠⇑⪆121013⫦⪉⇑⪆14424⨔≚≋⇑⪆32440))","cot":[{"info":"⇑⪆31131⪄⇑⪆20201=⇑⪆-34201421","layer":3},{"info":"≛⇑⪆-34201421=⇑⪆-123410314","layer":2},{"info":"⇑⪆13343⨰⇑⪆13003=⇑⪆410","layer":3},{"info":"↪⫪⫘⇑⪆410=⇑⪆40","layer":2},{"info":"⇑⪆-123410314⨜⨶⇑⪆40=⇑⪆-3023144222","layer":1},{"info":"⇑⪆130324∼⇑⪆102140=NaN","layer":3},{"info":"⇑⪆114314⨻⩈⩔⇑⪆33112=⇑⪆1320041","layer":3},{"info":"NaN⨽∌⇑⪆1320041=⇑⪆0","layer":2},{"info":"⇑⪆21010≄⊠⇑⪆121013=⇑⪆4424141","layer":3},{"info":"⇑⪆14424⨔≚≋⇑⪆32440=⇑⪆303442","layer":3},{"info":"⇑⪆4424141⫦⪉⇑⪆303442=⇑⪆-14224232","layer":2},{"info":"⇑⪆0⩷∴⇑⪆-14224232=⇑⪆34003402","layer":1},{"info":"⇑⪆-3023144222⊝⪿⪼⇑⪆34003402=⇑⪆-141300122443","layer":0}]}
{"id":184,"expression_no_base_symbol":"((($1957$⪐)∲⫓$3304$⩇∃⫛$7116$)⨎($5095$⩵∡$3806$↱($6381$∽$6081$)))⪛((($5715$↸$1071$)⩧⪆$1370$⪍↜⋙$3604$)≒∊($3870$⫩)⩘($6388$↬$6275$))","expression":"(((⇑⪆30312⪐)∲⫓⇑⪆101204⩇∃⫛⇑⪆211431)⨎(⇑⪆130340⩵∡⇑⪆110211↱(⇑⪆201011∽⇑⪆143311)))⪛(((⇑⪆140330↸⇑⪆13241)⩧⪆⇑⪆20440⪍↜⋙⇑⪆103404)≒∊(⇑⪆110440⫩)⩘(⇑⪆201023↬⇑⪆200100))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5168,"operation_count":15,"complexity_ratio":344.53333333333336,"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":5}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":3304,"base":5},"right_expr":{"type":"numeric_atoms","value":7116,"base":5}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":5095,"base":5},"right_expr":{"type":"numeric_atoms","value":3806,"base":5}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":6381,"base":5},"right_expr":{"type":"numeric_atoms","value":6081,"base":5}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":5715,"base":5},"right_expr":{"type":"numeric_atoms","value":1071,"base":5}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1370,"base":5},"right_expr":{"type":"numeric_atoms","value":3604,"base":5}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":3870,"base":5}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6388,"base":5},"right_expr":{"type":"numeric_atoms","value":6275,"base":5}}}}},"used_operators":["uFcxV4UQCh","rJVOvQCfKK","i8ToyICDmI","eH2TOUuTDT","1aApVXNlOP","SR5kFfdi6N","Y7wcNGrDQJ","y4ImoPnbV5","5KTvxBwnZo","Ikt5ks8PT7","1eCjFl0mb9","L05ObWFQCd","cHh1gJQ2o6","6aG7x05OhS","B5M0gjZbta"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","NTOWxs364D","glklzrTFfD","tifHPKVTfV","NTOWxs364D","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eewbuw0ToL","t8gj7n24qd","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","dWAJyo7jo9","rGHVDoGpnC"],"result":"⇑⪆-324131","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1957","layer":4},{"info":"compute unary expreesion, input=1957, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3914","layer":3},{"info":"number node, value=3304","layer":4},{"info":"number node, value=7116","layer":4},{"info":"compute binary expreesion, left_input=3304, right_input=7116, 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=4285","layer":3},{"info":"compute binary expreesion, left_input=3914, right_input=4285, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=5095","layer":4},{"info":"number node, value=3806","layer":4},{"info":"compute binary expreesion, left_input=5095, right_input=3806, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-6505","layer":3},{"info":"number node, value=6381","layer":4},{"info":"number node, value=6081","layer":4},{"info":"compute binary expreesion, left_input=6381, right_input=6081, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-49970","layer":3},{"info":"compute binary expreesion, left_input=-6505, right_input=-49970, 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=-384448","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-384448, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-384448","layer":1},{"info":"number node, value=5715","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=5715, right_input=1071, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=5715","layer":3},{"info":"number node, value=1370","layer":4},{"info":"number node, value=3604","layer":4},{"info":"compute binary expreesion, left_input=1370, right_input=3604, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-14841","layer":3},{"info":"compute binary expreesion, left_input=5715, right_input=-14841, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=14841","layer":2},{"info":"number node, value=3870","layer":4},{"info":"compute unary expreesion, input=3870, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=6388","layer":4},{"info":"number node, value=6275","layer":4},{"info":"compute binary expreesion, left_input=6388, right_input=6275, 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 = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=14841, right_input=160, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-14357","layer":1},{"info":"compute binary expreesion, left_input=-384448, right_input=-14357, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-11166","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆30312⪐)∲⫓⇑⪆101204⩇∃⫛⇑⪆211431)⨎(⇑⪆130340⩵∡⇑⪆110211↱(⇑⪆201011∽⇑⪆143311)))⪛(((⇑⪆140330↸⇑⪆13241)⩧⪆⇑⪆20440⪍↜⋙⇑⪆103404)≒∊(⇑⪆110440⫩)⩘(⇑⪆201023↬⇑⪆200100))=⇑⪆-324131","reverse_text":"⇑⪆-324131=(((⇑⪆30312⪐)∲⫓⇑⪆101204⩇∃⫛⇑⪆211431)⨎(⇑⪆130340⩵∡⇑⪆110211↱(⇑⪆201011∽⇑⪆143311)))⪛(((⇑⪆140330↸⇑⪆13241)⩧⪆⇑⪆20440⪍↜⋙⇑⪆103404)≒∊(⇑⪆110440⫩)⩘(⇑⪆201023↬⇑⪆200100))","cot":[{"info":"⇑⪆30312⪐=⇑⪆111124","layer":3},{"info":"⇑⪆101204⩇∃⫛⇑⪆211431=⇑⪆114120","layer":3},{"info":"⇑⪆111124∲⫓⇑⪆114120=⇑⪆0","layer":2},{"info":"⇑⪆130340⩵∡⇑⪆110211=⇑⪆-202010","layer":3},{"info":"⇑⪆201011∽⇑⪆143311=⇑⪆-3044340","layer":3},{"info":"⇑⪆-202010↱⇑⪆-3044340=⇑⪆-44300243","layer":2},{"info":"⇑⪆0⨎⇑⪆-44300243=⇑⪆-44300243","layer":1},{"info":"⇑⪆140330↸⇑⪆13241=⇑⪆140330","layer":3},{"info":"⇑⪆20440⪍↜⋙⇑⪆103404=⇑⪆-433331","layer":3},{"info":"⇑⪆140330⩧⪆⇑⪆-433331=⇑⪆433331","layer":2},{"info":"⇑⪆110440⫩=NaN","layer":3},{"info":"⇑⪆201023↬⇑⪆200100=NaN","layer":3},{"info":"NaN⩘NaN=⇑⪆1120","layer":2},{"info":"⇑⪆433331≒∊⇑⪆1120=⇑⪆-424412","layer":1},{"info":"⇑⪆-44300243⪛⇑⪆-424412=⇑⪆-324131","layer":0}]}
{"id":185,"expression_no_base_symbol":"(($4156$⋳⪒$1077$)⇷$1994$⩦$5059$)∳⫺(⊤⊝$6349$)⨸($1076$⊬⨰$1135$)≄⊠(($2395$⫌⩹⨱)∛($3193$⇴$9589$))⨐(($2414$≒∊$1004$)≀⫉($1191$⩵∡$5031$))","expression":"((⇑⪆113111⋳⪒⇑⪆13302)⇷⇑⪆30434⩦⇑⪆130214)∳⫺(⊤⊝⇑⪆200344)⨸(⇑⪆13301⊬⨰⇑⪆14020)≄⊠((⇑⪆34040⫌⩹⨱)∛(⇑⪆100233⇴⇑⪆301324))⨐((⇑⪆34124≒∊⇑⪆13004)≀⫉(⇑⪆14231⩵∡⇑⪆130111))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":109218,"operation_count":15,"complexity_ratio":7281.2,"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":4156,"base":5},"right_expr":{"type":"numeric_atoms","value":1077,"base":5}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1994,"base":5},"right_expr":{"type":"numeric_atoms","value":5059,"base":5}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":6349,"base":5}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1076,"base":5},"right_expr":{"type":"numeric_atoms","value":1135,"base":5}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2395,"base":5}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3193,"base":5},"right_expr":{"type":"numeric_atoms","value":9589,"base":5}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2414,"base":5},"right_expr":{"type":"numeric_atoms","value":1004,"base":5}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1191,"base":5},"right_expr":{"type":"numeric_atoms","value":5031,"base":5}}}}},"used_operators":["vXNesLlMH1","AzXXKTstlj","mp7IySMOzn","12rbrZMWeM","0kmYd0q39Y","KmoU8R5UQR","rXAclfmB4M","s3Fd5m9Dh2","Noe24qw2ks","w2537kitQq","EBcxylXtPf","4JB6nKBMSY","oZj3VtZNQx","5KTvxBwnZo","Y7wcNGrDQJ"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","sdazOOVcIp","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","NTOWxs364D","COABgblf1C","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"⇑⪆1313413","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4156","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=4156, right_input=1077, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6948","layer":3},{"info":"number node, value=1994","layer":4},{"info":"number node, value=5059","layer":4},{"info":"compute binary expreesion, left_input=1994, right_input=5059, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3988","layer":3},{"info":"compute binary expreesion, left_input=6948, right_input=3988, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7976","layer":2},{"info":"number node, value=6349","layer":4},{"info":"compute unary expreesion, input=6349, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=11400","layer":3},{"info":"number node, value=1076","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=1135, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=4560","layer":3},{"info":"compute binary expreesion, left_input=11400, right_input=4560, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=22800","layer":2},{"info":"compute binary expreesion, left_input=7976, right_input=22800, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-13634","layer":1},{"info":"number node, value=2395","layer":4},{"info":"compute unary expreesion, input=2395, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6191","layer":3},{"info":"number node, value=3193","layer":4},{"info":"number node, value=9589","layer":4},{"info":"compute binary expreesion, left_input=3193, right_input=9589, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=37950","layer":3},{"info":"compute binary expreesion, left_input=6191, right_input=37950, 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":"number node, value=2414","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=2414, right_input=1004, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1930","layer":3},{"info":"number node, value=1191","layer":4},{"info":"number node, value=5031","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=5031, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=2528","layer":3},{"info":"compute binary expreesion, left_input=-1930, right_input=2528, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-670, right_input=2822, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=1340","layer":1},{"info":"compute binary expreesion, left_input=-13634, right_input=1340, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=26108","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆113111⋳⪒⇑⪆13302)⇷⇑⪆30434⩦⇑⪆130214)∳⫺(⊤⊝⇑⪆200344)⨸(⇑⪆13301⊬⨰⇑⪆14020)≄⊠((⇑⪆34040⫌⩹⨱)∛(⇑⪆100233⇴⇑⪆301324))⨐((⇑⪆34124≒∊⇑⪆13004)≀⫉(⇑⪆14231⩵∡⇑⪆130111))=⇑⪆1313413","reverse_text":"⇑⪆1313413=((⇑⪆113111⋳⪒⇑⪆13302)⇷⇑⪆30434⩦⇑⪆130214)∳⫺(⊤⊝⇑⪆200344)⨸(⇑⪆13301⊬⨰⇑⪆14020)≄⊠((⇑⪆34040⫌⩹⨱)∛(⇑⪆100233⇴⇑⪆301324))⨐((⇑⪆34124≒∊⇑⪆13004)≀⫉(⇑⪆14231⩵∡⇑⪆130111))","cot":[{"info":"⇑⪆113111⋳⪒⇑⪆13302=⇑⪆210243","layer":3},{"info":"⇑⪆30434⩦⇑⪆130214=⇑⪆111423","layer":3},{"info":"⇑⪆210243⇷⇑⪆111423=⇑⪆223401","layer":2},{"info":"⊤⊝⇑⪆200344=⇑⪆331100","layer":3},{"info":"⇑⪆13301⊬⨰⇑⪆14020=⇑⪆121220","layer":3},{"info":"⇑⪆331100⨸⇑⪆121220=⇑⪆1212200","layer":2},{"info":"⇑⪆223401∳⫺⇑⪆1212200=⇑⪆-414014","layer":1},{"info":"⇑⪆34040⫌⩹⨱=⇑⪆144231","layer":3},{"info":"⇑⪆100233⇴⇑⪆301324=⇑⪆2203300","layer":3},{"info":"⇑⪆144231∛⇑⪆2203300=⇑⪆-10140","layer":2},{"info":"⇑⪆34124≒∊⇑⪆13004=⇑⪆-30210","layer":3},{"info":"⇑⪆14231⩵∡⇑⪆130111=⇑⪆40103","layer":3},{"info":"⇑⪆-30210≀⫉⇑⪆40103=⇑⪆42242","layer":2},{"info":"⇑⪆-10140⨐⇑⪆42242=⇑⪆20330","layer":1},{"info":"⇑⪆-414014≄⊠⇑⪆20330=⇑⪆1313413","layer":0}]}
{"id":186,"expression_no_base_symbol":"($1089$∘$2059$⋥≓≎$1567$⪭≯$1659$⨑≵⋬($7779$⩹$5602$)⊬⨰($2518$∌↝$3334$))↙(≤/$2771$⫸⊐$7610$)↼⊘⨖((⨝⨆$4204$)≄⊠$6291$≝⊿$4828$)","expression":"(⇑⪆13324∘⇑⪆31214⋥≓≎⇑⪆22232⪭≯⇑⪆23114⨑≵⋬(⇑⪆222104⩹⇑⪆134402)⊬⨰(⇑⪆40033∌↝⇑⪆101314))↙(≤/⇑⪆42041⫸⊐⇑⪆220420)↼⊘⨖((⨝⨆⇑⪆113304)≄⊠⇑⪆200131≝⊿⇑⪆123303)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":372,"operation_count":14,"complexity_ratio":26.571428571428573,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1089,"base":5},"right_expr":{"type":"numeric_atoms","value":2059,"base":5}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1567,"base":5},"right_expr":{"type":"numeric_atoms","value":1659,"base":5}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":7779,"base":5},"right_expr":{"type":"numeric_atoms","value":5602,"base":5}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2518,"base":5},"right_expr":{"type":"numeric_atoms","value":3334,"base":5}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2771,"base":5},"right_expr":{"type":"numeric_atoms","value":7610,"base":5}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":4204,"base":5}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":6291,"base":5},"right_expr":{"type":"numeric_atoms","value":4828,"base":5}}}}},"used_operators":["yyfyN0ffXY","XnXgA4xnOs","Qy55tPpLXF","Z5m6OM72h2","XAx5wpdLa6","s3Fd5m9Dh2","2Wsdkap16l","9Isq31Ruls","bPywburJMS","eLAdDNolq6","mqXw5SEYmG","vXNesLlMH1","bQ67fsrMVf","OKKcZfAt5B"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","tifHPKVTfV","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1089","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=2059, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2178","layer":3},{"info":"number node, value=1567","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=1659, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2178, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"number node, value=7779","layer":4},{"info":"number node, value=5602","layer":4},{"info":"compute binary expreesion, left_input=7779, right_input=5602, 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=5600","layer":3},{"info":"number node, value=2518","layer":4},{"info":"number node, value=3334","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=3334, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5600, right_input=0, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=4544","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4544, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"number node, value=2771","layer":4},{"info":"number node, value=7610","layer":4},{"info":"compute binary expreesion, left_input=2771, right_input=7610, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=30315","layer":3},{"info":"compute unary expreesion, input=30315, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-29831","layer":2},{"info":"number node, value=4204","layer":4},{"info":"compute unary expreesion, input=4204, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=3995","layer":3},{"info":"number node, value=6291","layer":4},{"info":"number node, value=4828","layer":4},{"info":"compute binary expreesion, left_input=6291, right_input=4828, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-16480","layer":3},{"info":"compute binary expreesion, left_input=3995, right_input=-16480, 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=-29831, right_input=1500, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2778","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2778, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆13324∘⇑⪆31214⋥≓≎⇑⪆22232⪭≯⇑⪆23114⨑≵⋬(⇑⪆222104⩹⇑⪆134402)⊬⨰(⇑⪆40033∌↝⇑⪆101314))↙(≤/⇑⪆42041⫸⊐⇑⪆220420)↼⊘⨖((⨝⨆⇑⪆113304)≄⊠⇑⪆200131≝⊿⇑⪆123303)=NaN","reverse_text":"NaN=(⇑⪆13324∘⇑⪆31214⋥≓≎⇑⪆22232⪭≯⇑⪆23114⨑≵⋬(⇑⪆222104⩹⇑⪆134402)⊬⨰(⇑⪆40033∌↝⇑⪆101314))↙(≤/⇑⪆42041⫸⊐⇑⪆220420)↼⊘⨖((⨝⨆⇑⪆113304)≄⊠⇑⪆200131≝⊿⇑⪆123303)","cot":[{"info":"⇑⪆13324∘⇑⪆31214=⇑⪆32203","layer":3},{"info":"⇑⪆22232⪭≯⇑⪆23114=NaN","layer":3},{"info":"⇑⪆32203⋥≓≎NaN=NaN","layer":2},{"info":"⇑⪆222104⩹⇑⪆134402=⇑⪆134400","layer":3},{"info":"⇑⪆40033∌↝⇑⪆101314=⇑⪆0","layer":3},{"info":"⇑⪆134400⊬⨰⇑⪆0=⇑⪆121134","layer":2},{"info":"NaN⨑≵⋬⇑⪆121134=NaN","layer":1},{"info":"⇑⪆42041⫸⊐⇑⪆220420=⇑⪆1432230","layer":3},{"info":"≤/⇑⪆1432230=⇑⪆-1423311","layer":2},{"info":"⨝⨆⇑⪆113304=⇑⪆111440","layer":3},{"info":"⇑⪆200131≝⊿⇑⪆123303=⇑⪆-1011410","layer":3},{"info":"⇑⪆111440≄⊠⇑⪆-1011410=⇑⪆22000","layer":2},{"info":"⇑⪆-1423311↼⊘⨖⇑⪆22000=⇑⪆42103","layer":1},{"info":"NaN↙⇑⪆42103=NaN","layer":0}]}
{"id":187,"expression_no_base_symbol":"⊵⊁((⩎⋉$1149$)⨑⩅≇(∮$7926$)↢(⨵$1635$)⨿($3249$⊋$5433$))","expression":"⊵⊁((⩎⋉⇑⪆14044)⨑⩅≇(∮⇑⪆223201)↢(⨵⇑⪆23020)⨿(⇑⪆100444⊋⇑⪆133213))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":48136,"operation_count":8,"complexity_ratio":6017.0,"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":1149,"base":5}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":7926,"base":5}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":1635,"base":5}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3249,"base":5},"right_expr":{"type":"numeric_atoms","value":5433,"base":5}}}}},"used_operators":["AvED76WdY7","WR6HLWljOP","h92wMvzauj","FlXk3pOYe8","CqXKPLVYql","abYXlopdE0","Tl3Y52tvF8","W4tP9CfskL"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1149","layer":4},{"info":"compute unary expreesion, input=1149, 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=7926","layer":4},{"info":"compute unary expreesion, input=7926, 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=1650, right_input=67, 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=-4950","layer":2},{"info":"number node, value=1635","layer":4},{"info":"compute unary expreesion, input=1635, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-14289","layer":3},{"info":"number node, value=3249","layer":4},{"info":"number node, value=5433","layer":4},{"info":"compute binary expreesion, left_input=3249, right_input=5433, 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=-91848900","layer":3},{"info":"compute binary expreesion, left_input=-14289, right_input=-91848900, 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=-4950, right_input=67, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-9766","layer":1},{"info":"compute unary expreesion, input=-9766, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"⊵⊁((⩎⋉⇑⪆14044)⨑⩅≇(∮⇑⪆223201)↢(⨵⇑⪆23020)⨿(⇑⪆100444⊋⇑⪆133213))=⇑⪆0","reverse_text":"⇑⪆0=⊵⊁((⩎⋉⇑⪆14044)⨑⩅≇(∮⇑⪆223201)↢(⨵⇑⪆23020)⨿(⇑⪆100444⊋⇑⪆133213))","cot":[{"info":"⩎⋉⇑⪆14044=⇑⪆23100","layer":3},{"info":"∮⇑⪆223201=⇑⪆232","layer":3},{"info":"⇑⪆23100⨑⩅≇⇑⪆232=⇑⪆-124300","layer":2},{"info":"⨵⇑⪆23020=⇑⪆-424124","layer":3},{"info":"⇑⪆100444⊋⇑⪆133213=⇑⪆-142003131100","layer":3},{"info":"⇑⪆-424124⨿⇑⪆-142003131100=⇑⪆232","layer":2},{"info":"⇑⪆-124300↢⇑⪆232=⇑⪆-303031","layer":1},{"info":"⊵⊁⇑⪆-303031=⇑⪆0","layer":0}]}
{"id":188,"expression_no_base_symbol":"($4923$⫣⪄⊒$3863$⪘⫢($1766$⪗)⫢⨠($4016$≓∲$3345$)⊴$2837$∳⫺$2171$)≳⇉((⨈⫕$2482$)⪪($4024$∼$2827$))⊢(⇖⫷⫕$1079$)⊉↱≁$3327$∓⋝$1553$","expression":"(⇑⪆124143⫣⪄⊒⇑⪆110423⪘⫢(⇑⪆24031⪗)⫢⨠(⇑⪆112031≓∲⇑⪆101340)⊴⇑⪆42322∳⫺⇑⪆32141)≳⇉((⨈⫕⇑⪆34412)⪪(⇑⪆112044∼⇑⪆42302))⊢(⇖⫷⫕⇑⪆13304)⊉↱≁⇑⪆101302∓⋝⇑⪆22203","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":10826,"operation_count":15,"complexity_ratio":721.7333333333333,"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":4923,"base":5},"right_expr":{"type":"numeric_atoms","value":3863,"base":5}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":1766,"base":5}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":4016,"base":5},"right_expr":{"type":"numeric_atoms","value":3345,"base":5}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2837,"base":5},"right_expr":{"type":"numeric_atoms","value":2171,"base":5}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2482,"base":5}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4024,"base":5},"right_expr":{"type":"numeric_atoms","value":2827,"base":5}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1079,"base":5}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3327,"base":5},"right_expr":{"type":"numeric_atoms","value":1553,"base":5}}}}},"used_operators":["V0kx6qeWkN","xlXykHWxX1","oacrs7FA3X","RabNbG55vr","VEQNXA0ZBg","Nsiff2A1zJ","s1XTVnmDOJ","AzXXKTstlj","5twsqlHp2o","xD69zh8xqp","megm06wKyl","DyGG3AbaNP","w2P8NbNXyL","UHmRx3INFg","PoHhknlbAi"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","dWAJyo7jo9","dWAJyo7jo9","14qkJME0vr","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","FU0Cs4j7VP","JclMnS0uGI","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4923","layer":4},{"info":"number node, value=3863","layer":4},{"info":"compute binary expreesion, left_input=4923, right_input=3863, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-13844","layer":3},{"info":"number node, value=1766","layer":4},{"info":"compute unary expreesion, input=1766, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-13844, 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":2},{"info":"number node, value=4016","layer":4},{"info":"number node, value=3345","layer":4},{"info":"compute binary expreesion, left_input=4016, right_input=3345, 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=40943","layer":3},{"info":"number node, value=2837","layer":4},{"info":"number node, value=2171","layer":4},{"info":"compute binary expreesion, left_input=2837, right_input=2171, 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=40943, right_input=-260, 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 = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":1},{"info":"number node, value=2482","layer":4},{"info":"compute unary expreesion, input=2482, 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=4024","layer":4},{"info":"number node, value=2827","layer":4},{"info":"compute binary expreesion, left_input=4024, right_input=2827, 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=-21, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=21","layer":2},{"info":"number node, value=1079","layer":4},{"info":"compute unary expreesion, input=1079, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=3327","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=3327, right_input=1553, 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 = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=27766","layer":2},{"info":"compute binary expreesion, left_input=21, right_input=27766, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-286","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-286, 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":5,"result_base":5,"text":"(⇑⪆124143⫣⪄⊒⇑⪆110423⪘⫢(⇑⪆24031⪗)⫢⨠(⇑⪆112031≓∲⇑⪆101340)⊴⇑⪆42322∳⫺⇑⪆32141)≳⇉((⨈⫕⇑⪆34412)⪪(⇑⪆112044∼⇑⪆42302))⊢(⇖⫷⫕⇑⪆13304)⊉↱≁⇑⪆101302∓⋝⇑⪆22203=NaN","reverse_text":"NaN=(⇑⪆124143⫣⪄⊒⇑⪆110423⪘⫢(⇑⪆24031⪗)⫢⨠(⇑⪆112031≓∲⇑⪆101340)⊴⇑⪆42322∳⫺⇑⪆32141)≳⇉((⨈⫕⇑⪆34412)⪪(⇑⪆112044∼⇑⪆42302))⊢(⇖⫷⫕⇑⪆13304)⊉↱≁⇑⪆101302∓⋝⇑⪆22203","cot":[{"info":"⇑⪆124143⫣⪄⊒⇑⪆110423=⇑⪆-420334","layer":3},{"info":"⇑⪆24031⪗=NaN","layer":3},{"info":"⇑⪆-420334⪘⫢NaN=NaN","layer":2},{"info":"⇑⪆112031≓∲⇑⪆101340=⇑⪆2302233","layer":3},{"info":"⇑⪆42322∳⫺⇑⪆32141=⇑⪆-2020","layer":3},{"info":"⇑⪆2302233⊴⇑⪆-2020=NaN","layer":2},{"info":"NaN⫢⨠NaN=NaN","layer":1},{"info":"⨈⫕⇑⪆34412=⇑⪆-41","layer":3},{"info":"⇑⪆112044∼⇑⪆42302=NaN","layer":3},{"info":"⇑⪆-41⪪NaN=⇑⪆41","layer":2},{"info":"⇖⫷⫕⇑⪆13304=⇑⪆42242","layer":3},{"info":"⇑⪆101302∓⋝⇑⪆22203=⇑⪆232","layer":3},{"info":"⇑⪆42242⊉↱≁⇑⪆232=⇑⪆1342031","layer":2},{"info":"⇑⪆41⊢⇑⪆1342031=⇑⪆-2121","layer":1},{"info":"NaN≳⇉⇑⪆-2121=NaN","layer":0}]}
{"id":189,"expression_no_base_symbol":"(($4226$≬⋮$6573$)⪎↠($1533$∝$1162$))⨽∌(⊁⨺(∟⋨$4916$))⨰(⇙⪊($1455$⇂≾⫗$3041$⊨$1535$∛$3879$))","expression":"((⇑⪆113401≬⋮⇑⪆202243)⪎↠(⇑⪆22113∝⇑⪆14122))⨽∌(⊁⨺(∟⋨⇑⪆124131))⨰(⇙⪊(⇑⪆21310⇂≾⫗⇑⪆44131⊨⇑⪆22120∛⇑⪆111004))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5417,"operation_count":11,"complexity_ratio":492.45454545454544,"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":4226,"base":5},"right_expr":{"type":"numeric_atoms","value":6573,"base":5}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1533,"base":5},"right_expr":{"type":"numeric_atoms","value":1162,"base":5}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":4916,"base":5}}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1455,"base":5},"right_expr":{"type":"numeric_atoms","value":3041,"base":5}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1535,"base":5},"right_expr":{"type":"numeric_atoms","value":3879,"base":5}}}}},"used_operators":["eewbuw0ToL","9samAPKr6k","3tVxb0NHM4","kbkesczE7y","cTDWOvIxvz","PxiHyQbrIp","ctOc4cKSDt","pB6Fcnrjim","vg4gO5BX6G","aBQ6xLxuTc","w2537kitQq"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","tmPS8pqC7x","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⇑⪆20","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4226","layer":4},{"info":"number node, value=6573","layer":4},{"info":"compute binary expreesion, left_input=4226, right_input=6573, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1533","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=1533, right_input=1162, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1538","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=1538, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"number node, value=4916","layer":4},{"info":"compute unary expreesion, input=4916, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-4432","layer":3},{"info":"compute unary expreesion, input=-4432, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-30241","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-30241, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=1455","layer":4},{"info":"number node, value=3041","layer":4},{"info":"compute binary expreesion, left_input=1455, right_input=3041, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1535","layer":4},{"info":"number node, value=3879","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=3879, 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=-676, right_input=-670, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"compute unary expreesion, input=-174, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=10","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆113401≬⋮⇑⪆202243)⪎↠(⇑⪆22113∝⇑⪆14122))⨽∌(⊁⨺(∟⋨⇑⪆124131))⨰(⇙⪊(⇑⪆21310⇂≾⫗⇑⪆44131⊨⇑⪆22120∛⇑⪆111004))=⇑⪆20","reverse_text":"⇑⪆20=((⇑⪆113401≬⋮⇑⪆202243)⪎↠(⇑⪆22113∝⇑⪆14122))⨽∌(⊁⨺(∟⋨⇑⪆124131))⨰(⇙⪊(⇑⪆21310⇂≾⫗⇑⪆44131⊨⇑⪆22120∛⇑⪆111004))","cot":[{"info":"⇑⪆113401≬⋮⇑⪆202243=⇑⪆11433","layer":3},{"info":"⇑⪆22113∝⇑⪆14122=⇑⪆22123","layer":3},{"info":"⇑⪆11433⪎↠⇑⪆22123=⇑⪆1120","layer":2},{"info":"∟⋨⇑⪆124131=⇑⪆-120212","layer":3},{"info":"⊁⨺⇑⪆-120212=⇑⪆-1431431","layer":2},{"info":"⇑⪆1120⨽∌⇑⪆-1431431=⇑⪆0","layer":1},{"info":"⇑⪆21310⇂≾⫗⇑⪆44131=⇑⪆-10201","layer":3},{"info":"⇑⪆22120∛⇑⪆111004=⇑⪆-10140","layer":3},{"info":"⇑⪆-10201⊨⇑⪆-10140=⇑⪆-1144","layer":2},{"info":"⇙⪊⇑⪆-1144=⇑⪆0","layer":1},{"info":"⇑⪆0⨰⇑⪆0=⇑⪆20","layer":0}]}
{"id":190,"expression_no_base_symbol":"(((∂⩏⊆$2699$)≥⨤⩑($2043$⨶))⊨(⊲⪭($6718$⪭$2689$)))⩇∃⫛((⊢≑≆$2626$)⫲≸⪮($5558$⫡⨏$1149$))⪢($6868$+⇶⊼$3556$⫡⨏$1758$⩒⫫$1010$)","expression":"(((∂⩏⊆⇑⪆41244)≥⨤⩑(⇑⪆31133⨶))⊨(⊲⪭(⇑⪆203333⪭⇑⪆41224)))⩇∃⫛((⊢≑≆⇑⪆41001)⫲≸⪮(⇑⪆134213⫡⨏⇑⪆14044))⪢(⇑⪆204433+⇶⊼⇑⪆103211⫡⨏⇑⪆24013⩒⫫⇑⪆13020)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11064,"operation_count":14,"complexity_ratio":790.2857142857143,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":2699,"base":5}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":2043,"base":5}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":6718,"base":5},"right_expr":{"type":"numeric_atoms","value":2689,"base":5}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":2626,"base":5}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5558,"base":5},"right_expr":{"type":"numeric_atoms","value":1149,"base":5}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6868,"base":5},"right_expr":{"type":"numeric_atoms","value":3556,"base":5}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1758,"base":5},"right_expr":{"type":"numeric_atoms","value":1010,"base":5}}}}},"used_operators":["1aApVXNlOP","vg4gO5BX6G","gJLn6v0xnP","8WDwsbhb0R","rFxw8gIMmB","k7HXdKtiEU","j9kHMeSvPp","dWAJyo7jo9","P3lXMJvFrc","27wFxooxGf","QMFrweE19q","TpPTUOHfaN","KFSx94NKJn"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","14qkJME0vr","eLAdDNolq6","f6k1SAg4EE","Qy55tPpLXF","i8ToyICDmI","xUOZtlo3hN","COABgblf1C","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2699","layer":4},{"info":"compute unary expreesion, input=2699, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-8176","layer":3},{"info":"number node, value=2043","layer":4},{"info":"compute unary expreesion, input=2043, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=2340","layer":3},{"info":"compute binary expreesion, left_input=-8176, right_input=2340, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=6718","layer":4},{"info":"number node, value=2689","layer":4},{"info":"compute binary expreesion, left_input=6718, right_input=2689, 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 = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-179","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-179, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5967","layer":1},{"info":"number node, value=2626","layer":4},{"info":"compute unary expreesion, input=2626, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=10956","layer":3},{"info":"number node, value=5558","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=5558, right_input=1149, 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=30871","layer":3},{"info":"compute binary expreesion, left_input=10956, right_input=30871, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=10956","layer":2},{"info":"number node, value=6868","layer":4},{"info":"number node, value=3556","layer":4},{"info":"compute binary expreesion, left_input=6868, right_input=3556, 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=1758","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=1758, right_input=1010, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1456","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1456, 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 binary expreesion, left_input=10956, 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=5967, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(((∂⩏⊆⇑⪆41244)≥⨤⩑(⇑⪆31133⨶))⊨(⊲⪭(⇑⪆203333⪭⇑⪆41224)))⩇∃⫛((⊢≑≆⇑⪆41001)⫲≸⪮(⇑⪆134213⫡⨏⇑⪆14044))⪢(⇑⪆204433+⇶⊼⇑⪆103211⫡⨏⇑⪆24013⩒⫫⇑⪆13020)=NaN","reverse_text":"NaN=(((∂⩏⊆⇑⪆41244)≥⨤⩑(⇑⪆31133⨶))⊨(⊲⪭(⇑⪆203333⪭⇑⪆41224)))⩇∃⫛((⊢≑≆⇑⪆41001)⫲≸⪮(⇑⪆134213⫡⨏⇑⪆14044))⪢(⇑⪆204433+⇶⊼⇑⪆103211⫡⨏⇑⪆24013⩒⫫⇑⪆13020)","cot":[{"info":"∂⩏⊆⇑⪆41244=⇑⪆-230201","layer":3},{"info":"⇑⪆31133⨶=⇑⪆33330","layer":3},{"info":"⇑⪆-230201≥⨤⩑⇑⪆33330=⇑⪆14414","layer":2},{"info":"⇑⪆203333⪭⇑⪆41224=⇑⪆10","layer":3},{"info":"⊲⪭⇑⪆10=⇑⪆-1204","layer":2},{"info":"⇑⪆14414⊨⇑⪆-1204=⇑⪆142332","layer":1},{"info":"⊢≑≆⇑⪆41001=⇑⪆322311","layer":3},{"info":"⇑⪆134213⫡⨏⇑⪆14044=⇑⪆1441441","layer":3},{"info":"⇑⪆322311⫲≸⪮⇑⪆1441441=⇑⪆322311","layer":2},{"info":"⇑⪆204433+⇶⊼⇑⪆103211=NaN","layer":3},{"info":"⇑⪆24013⩒⫫⇑⪆13020=⇑⪆21311","layer":3},{"info":"NaN⫡⨏⇑⪆21311=NaN","layer":2},{"info":"⇑⪆322311⪢NaN=NaN","layer":1},{"info":"⇑⪆142332⩇∃⫛NaN=NaN","layer":0}]}
{"id":191,"expression_no_base_symbol":"((⫎≠⋺($1067$⇌⫙⪟$1076$))⩵∡($1296$⩺⋐⫨)∓⋝(⇨$1664$))⫒⫫($1956$↬$4791$)⨂≜($2511$⫑%∭)⪔⊥(($1571$⊉≛↸$5636$)⊋≦⊧($4841$⋳⪒$4221$))","expression":"((⫎≠⋺(⇑⪆13232⇌⫙⪟⇑⪆13301))⩵∡(⇑⪆20141⩺⋐⫨)∓⋝(⇨⇑⪆23124))⫒⫫(⇑⪆30311↬⇑⪆123131)⨂≜(⇑⪆40021⫑%∭)⪔⊥((⇑⪆22241⊉≛↸⇑⪆140021)⊋≦⊧(⇑⪆123331⋳⪒⇑⪆113341))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1663,"operation_count":14,"complexity_ratio":118.78571428571429,"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":1067,"base":5},"right_expr":{"type":"numeric_atoms","value":1076,"base":5}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":1296,"base":5}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":1664,"base":5}}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1956,"base":5},"right_expr":{"type":"numeric_atoms","value":4791,"base":5}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":2511,"base":5}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1571,"base":5},"right_expr":{"type":"numeric_atoms","value":5636,"base":5}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4841,"base":5},"right_expr":{"type":"numeric_atoms","value":4221,"base":5}}}}},"used_operators":["6Ko8hGgeMq","Y7wcNGrDQJ","LYeZOJ0nQG","AFVx7xoS7T","PoHhknlbAi","yS9ePUuUdn","G9tJMlZ94a","HJ9erzHUuu","k1SHOSEABc","B5M0gjZbta","xUx7qlDO4z","oRDoc9rAEX","DZ8iAZOCBD","12rbrZMWeM"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","NTOWxs364D","glklzrTFfD","tifHPKVTfV","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","k8jYdgA6NY","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rGHVDoGpnC","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1067","layer":4},{"info":"number node, value=1076","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=1076, 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 = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":2},{"info":"number node, value=1296","layer":4},{"info":"compute unary expreesion, input=1296, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"number node, value=1664","layer":4},{"info":"compute unary expreesion, input=1664, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":2},{"info":"compute binary expreesion, left_input=-709, right_input=121, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=2127","layer":1},{"info":"number node, value=1956","layer":4},{"info":"number node, value=4791","layer":4},{"info":"compute binary expreesion, left_input=1956, right_input=4791, 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=2511","layer":4},{"info":"compute unary expreesion, input=2511, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=1571","layer":4},{"info":"number node, value=5636","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=5636, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3142","layer":3},{"info":"number node, value=4841","layer":4},{"info":"number node, value=4221","layer":4},{"info":"compute binary expreesion, left_input=4841, right_input=4221, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5174","layer":3},{"info":"compute binary expreesion, left_input=3142, right_input=5174, 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=-8076","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8076, 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=2127, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⫎≠⋺(⇑⪆13232⇌⫙⪟⇑⪆13301))⩵∡(⇑⪆20141⩺⋐⫨)∓⋝(⇨⇑⪆23124))⫒⫫(⇑⪆30311↬⇑⪆123131)⨂≜(⇑⪆40021⫑%∭)⪔⊥((⇑⪆22241⊉≛↸⇑⪆140021)⊋≦⊧(⇑⪆123331⋳⪒⇑⪆113341))=NaN","reverse_text":"NaN=((⫎≠⋺(⇑⪆13232⇌⫙⪟⇑⪆13301))⩵∡(⇑⪆20141⩺⋐⫨)∓⋝(⇨⇑⪆23124))⫒⫫(⇑⪆30311↬⇑⪆123131)⨂≜(⇑⪆40021⫑%∭)⪔⊥((⇑⪆22241⊉≛↸⇑⪆140021)⊋≦⊧(⇑⪆123331⋳⪒⇑⪆113341))","cot":[{"info":"⇑⪆13232⇌⫙⪟⇑⪆13301=⇑⪆423","layer":3},{"info":"⫎≠⋺⇑⪆423=⇑⪆-10314","layer":2},{"info":"⇑⪆20141⩺⋐⫨=⇑⪆0","layer":3},{"info":"⇨⇑⪆23124=⇑⪆0","layer":3},{"info":"⇑⪆0∓⋝⇑⪆0=⇑⪆441","layer":2},{"info":"⇑⪆-10314⩵∡⇑⪆441=⇑⪆32002","layer":1},{"info":"⇑⪆30311↬⇑⪆123131=NaN","layer":3},{"info":"⇑⪆40021⫑%∭=NaN","layer":3},{"info":"NaN⨂≜NaN=NaN","layer":2},{"info":"⇑⪆22241⊉≛↸⇑⪆140021=⇑⪆100032","layer":3},{"info":"⇑⪆123331⋳⪒⇑⪆113341=⇑⪆131144","layer":3},{"info":"⇑⪆100032⊋≦⊧⇑⪆131144=⇑⪆-224301","layer":2},{"info":"NaN⪔⊥⇑⪆-224301=NaN","layer":1},{"info":"⇑⪆32002⫒⫫NaN=NaN","layer":0}]}
{"id":192,"expression_no_base_symbol":"(($1285$↙$3103$)⪛⫼($1870$↡⊰⫅$1472$))⨐($3157$⩵∡$1013$/$1029$⊮⊟↴$2275$)⩅⪻⪻","expression":"((⇑⪆20120↙⇑⪆44403)⪛⫼(⇑⪆24440↡⊰⫅⇑⪆21342))⨐(⇑⪆100112⩵∡⇑⪆13023/⇑⪆13104⊮⊟↴⇑⪆33100)⩅⪻⪻","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26105,"operation_count":8,"complexity_ratio":3263.125,"tree":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1285,"base":5},"right_expr":{"type":"numeric_atoms","value":3103,"base":5}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1870,"base":5},"right_expr":{"type":"numeric_atoms","value":1472,"base":5}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3157,"base":5},"right_expr":{"type":"numeric_atoms","value":1013,"base":5}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1029,"base":5},"right_expr":{"type":"numeric_atoms","value":2275,"base":5}}}}},"used_operators":["kHoXpA7yos","Noe24qw2ks","hyuBjUqXlG","yyfyN0ffXY","VCtxkLNOzz","XhwjNDsVaA","Y7wcNGrDQJ","QDVgd2eftb"],"dependent_operators":["SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","tmPS8pqC7x","DpFCA1CohY","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","tifHPKVTfV","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"⇑⪆111404","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1285","layer":4},{"info":"number node, value=3103","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=3103, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9309","layer":3},{"info":"number node, value=1870","layer":4},{"info":"number node, value=1472","layer":4},{"info":"compute binary expreesion, left_input=1870, right_input=1472, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2944","layer":3},{"info":"compute binary expreesion, left_input=-9309, right_input=2944, 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=3157","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=3157, right_input=1013, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-5422","layer":3},{"info":"number node, value=1029","layer":4},{"info":"number node, value=2275","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=2275, 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=-5422, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-1936","layer":1},{"info":"compute unary expreesion, input=-1936, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆20120↙⇑⪆44403)⪛⫼(⇑⪆24440↡⊰⫅⇑⪆21342))⨐(⇑⪆100112⩵∡⇑⪆13023/⇑⪆13104⊮⊟↴⇑⪆33100)⩅⪻⪻=⇑⪆111404","reverse_text":"⇑⪆111404=((⇑⪆20120↙⇑⪆44403)⪛⫼(⇑⪆24440↡⊰⫅⇑⪆21342))⨐(⇑⪆100112⩵∡⇑⪆13023/⇑⪆13104⊮⊟↴⇑⪆33100)⩅⪻⪻","cot":[{"info":"⇑⪆20120↙⇑⪆44403=⇑⪆-244214","layer":3},{"info":"⇑⪆24440↡⊰⫅⇑⪆21342=⇑⪆43234","layer":3},{"info":"⇑⪆-244214⪛⫼⇑⪆43234=⇑⪆12333","layer":2},{"info":"⇑⪆100112⩵∡⇑⪆13023=⇑⪆-133142","layer":3},{"info":"⇑⪆13104⊮⊟↴⇑⪆33100=⇑⪆0","layer":3},{"info":"⇑⪆-133142/⇑⪆0=NaN","layer":2},{"info":"⇑⪆12333⨐NaN=⇑⪆-30221","layer":1},{"info":"⇑⪆-30221⩅⪻⪻=⇑⪆111404","layer":0}]}
{"id":193,"expression_no_base_symbol":"((($7821$⪨≂$4901$)∲⫓$2882$∠↢$2559$)⩹(↘($4181$∪⫐$2985$)))+⇶⊼($1637$⨵⪆$1634$)⫣⪄⊒($3052$%$1119$)⩍⋽⫝̸($1611$∳⫺$8342$∼($6954$⇣⩺⋵$4102$))","expression":"(((⇑⪆222241⪨≂⇑⪆124101)∲⫓⇑⪆43012∠↢⇑⪆40214)⩹(↘(⇑⪆113211∪⫐⇑⪆43420)))+⇶⊼(⇑⪆23022⨵⪆⇑⪆23014)⫣⪄⊒(⇑⪆44202%⇑⪆13434)⩍⋽⫝̸(⇑⪆22421∳⫺⇑⪆231332∼(⇑⪆210304⇣⩺⋵⇑⪆112402))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1441,"operation_count":14,"complexity_ratio":102.92857142857143,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7821,"base":5},"right_expr":{"type":"numeric_atoms","value":4901,"base":5}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2882,"base":5},"right_expr":{"type":"numeric_atoms","value":2559,"base":5}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":4181,"base":5},"right_expr":{"type":"numeric_atoms","value":2985,"base":5}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1637,"base":5},"right_expr":{"type":"numeric_atoms","value":1634,"base":5}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3052,"base":5},"right_expr":{"type":"numeric_atoms","value":1119,"base":5}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1611,"base":5},"right_expr":{"type":"numeric_atoms","value":8342,"base":5}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":6954,"base":5},"right_expr":{"type":"numeric_atoms","value":4102,"base":5}}}}},"used_operators":["TpPTUOHfaN","2Wsdkap16l","i8ToyICDmI","sdazOOVcIp","KbjG8mgYpV","LdNpr8hQHL","7YooWSwCyH","BiWNJpBvwn","RabNbG55vr","2DQ55sFlQl","k8jYdgA6NY","DyGG3AbaNP","AzXXKTstlj","F4yD0voBRQ"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","uFcxV4UQCh","rJVOvQCfKK","2DDjHMKMc0","Ph9nP6C5qx","xUOZtlo3hN","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7821","layer":4},{"info":"number node, value=4901","layer":4},{"info":"compute binary expreesion, left_input=7821, right_input=4901, 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=5942","layer":3},{"info":"number node, value=2882","layer":4},{"info":"number node, value=2559","layer":4},{"info":"compute binary expreesion, left_input=2882, right_input=2559, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-46272","layer":3},{"info":"compute binary expreesion, left_input=5942, right_input=-46272, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=5942","layer":2},{"info":"number node, value=4181","layer":4},{"info":"number node, value=2985","layer":4},{"info":"compute binary expreesion, left_input=4181, right_input=2985, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=4181","layer":3},{"info":"compute unary expreesion, input=4181, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=261","layer":2},{"info":"compute binary expreesion, left_input=5942, right_input=261, 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=259","layer":1},{"info":"number node, value=1637","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=1637, right_input=1634, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3052","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=3052, right_input=1119, op_id = k8jYdgA6NY binary_op_definition= 'None', output=814","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=814, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5076","layer":2},{"info":"number node, value=1611","layer":4},{"info":"number node, value=8342","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=8342, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-10178","layer":3},{"info":"number node, value=6954","layer":4},{"info":"number node, value=4102","layer":4},{"info":"compute binary expreesion, left_input=6954, right_input=4102, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-10178, right_input=-260, 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=-5076, right_input=0, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-209","layer":1},{"info":"compute binary expreesion, left_input=259, right_input=-209, 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":5,"result_base":5,"text":"(((⇑⪆222241⪨≂⇑⪆124101)∲⫓⇑⪆43012∠↢⇑⪆40214)⩹(↘(⇑⪆113211∪⫐⇑⪆43420)))+⇶⊼(⇑⪆23022⨵⪆⇑⪆23014)⫣⪄⊒(⇑⪆44202%⇑⪆13434)⩍⋽⫝̸(⇑⪆22421∳⫺⇑⪆231332∼(⇑⪆210304⇣⩺⋵⇑⪆112402))=NaN","reverse_text":"NaN=(((⇑⪆222241⪨≂⇑⪆124101)∲⫓⇑⪆43012∠↢⇑⪆40214)⩹(↘(⇑⪆113211∪⫐⇑⪆43420)))+⇶⊼(⇑⪆23022⨵⪆⇑⪆23014)⫣⪄⊒(⇑⪆44202%⇑⪆13434)⩍⋽⫝̸(⇑⪆22421∳⫺⇑⪆231332∼(⇑⪆210304⇣⩺⋵⇑⪆112402))","cot":[{"info":"⇑⪆222241⪨≂⇑⪆124101=⇑⪆142232","layer":3},{"info":"⇑⪆43012∠↢⇑⪆40214=⇑⪆-2440042","layer":3},{"info":"⇑⪆142232∲⫓⇑⪆-2440042=⇑⪆142232","layer":2},{"info":"⇑⪆113211∪⫐⇑⪆43420=⇑⪆113211","layer":3},{"info":"↘⇑⪆113211=⇑⪆2021","layer":2},{"info":"⇑⪆142232⩹⇑⪆2021=⇑⪆2014","layer":1},{"info":"⇑⪆23022⨵⪆⇑⪆23014=⇑⪆1120","layer":3},{"info":"⇑⪆44202%⇑⪆13434=⇑⪆11224","layer":3},{"info":"⇑⪆1120⫣⪄⊒⇑⪆11224=⇑⪆-130301","layer":2},{"info":"⇑⪆22421∳⫺⇑⪆231332=⇑⪆-311203","layer":3},{"info":"⇑⪆210304⇣⩺⋵⇑⪆112402=⇑⪆-2020","layer":3},{"info":"⇑⪆-311203∼⇑⪆-2020=⇑⪆0","layer":2},{"info":"⇑⪆-130301⩍⋽⫝̸⇑⪆0=⇑⪆-1314","layer":1},{"info":"⇑⪆2014+⇶⊼⇑⪆-1314=NaN","layer":0}]}
{"id":194,"expression_no_base_symbol":"⨆≐≲((⫡⇟⇯$1018$≠≀$3747$)⨌↪)","expression":"⨆≐≲((⫡⇟⇯⇑⪆13033≠≀⇑⪆104442)⨌↪)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":149,"operation_count":4,"complexity_ratio":37.25,"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":1018,"base":5},"right_expr":{"type":"numeric_atoms","value":3747,"base":5}}}}},"used_operators":["Bi9z9uYZqW","cWQsF5MvuD","qWUSsah53b","IwW236VD4Y"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","DZ8iAZOCBD","P8v4zCKN1o","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"⇑⪆-20343143","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1018","layer":4},{"info":"number node, value=3747","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=3747, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1730","layer":3},{"info":"compute unary expreesion, input=-1730, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=2598","layer":2},{"info":"compute unary expreesion, input=2598, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":1},{"info":"compute unary expreesion, input=-480, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":0}],"base":5,"result_base":5,"text":"⨆≐≲((⫡⇟⇯⇑⪆13033≠≀⇑⪆104442)⨌↪)=⇑⪆-20343143","reverse_text":"⇑⪆-20343143=⨆≐≲((⫡⇟⇯⇑⪆13033≠≀⇑⪆104442)⨌↪)","cot":[{"info":"⇑⪆13033≠≀⇑⪆104442=⇑⪆-23410","layer":3},{"info":"⫡⇟⇯⇑⪆-23410=⇑⪆40343","layer":2},{"info":"⇑⪆40343⨌↪=⇑⪆-3410","layer":1},{"info":"⨆≐≲⇑⪆-3410=⇑⪆-20343143","layer":0}]}
{"id":195,"expression_no_base_symbol":"(⫓⪴$2355$∌$3444$)⪍↜⋙($5316$⫣⪄⊒$2573$)⪃⊛⇣($1689$⩷∴$2471$)⨰(⊆⋠($1656$⇤$4280$⫰⋱$1154$⇣⩺⋵$4320$))","expression":"(⫓⪴⇑⪆33410∌⇑⪆102234)⪍↜⋙(⇑⪆132231⫣⪄⊒⇑⪆40243)⪃⊛⇣(⇑⪆23224⩷∴⇑⪆34341)⨰(⊆⋠(⇑⪆23111⇤⇑⪆114110⫰⋱⇑⪆14104⇣⩺⋵⇑⪆114240))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4166,"operation_count":11,"complexity_ratio":378.72727272727275,"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":2355,"base":5},"right_expr":{"type":"numeric_atoms","value":3444,"base":5}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":5316,"base":5},"right_expr":{"type":"numeric_atoms","value":2573,"base":5}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1689,"base":5},"right_expr":{"type":"numeric_atoms","value":2471,"base":5}}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1656,"base":5},"right_expr":{"type":"numeric_atoms","value":4280,"base":5}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1154,"base":5},"right_expr":{"type":"numeric_atoms","value":4320,"base":5}}}}},"used_operators":["eewbuw0ToL","L05ObWFQCd","eLxqMNBOBk","8cLx32lpNA","rrgAzCduG9","RabNbG55vr","9FxExcQeMw","EBhcHTkKd8","6o9Blt3TJ6","YSKBFp38Pu","F4yD0voBRQ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9HNa5Wba9A","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"⇑⪆22033013224","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2355","layer":4},{"info":"number node, value=3444","layer":4},{"info":"compute binary expreesion, left_input=2355, right_input=3444, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3444","layer":3},{"info":"compute unary expreesion, input=-3444, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=11861136","layer":2},{"info":"number node, value=5316","layer":4},{"info":"number node, value=2573","layer":4},{"info":"compute binary expreesion, left_input=5316, right_input=2573, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5318","layer":3},{"info":"number node, value=1689","layer":4},{"info":"number node, value=2471","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=2471, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1596","layer":3},{"info":"compute binary expreesion, left_input=-5318, right_input=-1596, 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=11861136, right_input=1234, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=23719804","layer":1},{"info":"number node, value=1656","layer":4},{"info":"number node, value=4280","layer":4},{"info":"compute binary expreesion, left_input=1656, right_input=4280, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-26832","layer":3},{"info":"number node, value=1154","layer":4},{"info":"number node, value=4320","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=4320, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-3962","layer":3},{"info":"compute binary expreesion, left_input=-26832, right_input=-3962, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=30861","layer":2},{"info":"compute unary expreesion, input=30861, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=23719804, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=23719814","layer":0}],"base":5,"result_base":5,"text":"(⫓⪴⇑⪆33410∌⇑⪆102234)⪍↜⋙(⇑⪆132231⫣⪄⊒⇑⪆40243)⪃⊛⇣(⇑⪆23224⩷∴⇑⪆34341)⨰(⊆⋠(⇑⪆23111⇤⇑⪆114110⫰⋱⇑⪆14104⇣⩺⋵⇑⪆114240))=⇑⪆22033013224","reverse_text":"⇑⪆22033013224=(⫓⪴⇑⪆33410∌⇑⪆102234)⪍↜⋙(⇑⪆132231⫣⪄⊒⇑⪆40243)⪃⊛⇣(⇑⪆23224⩷∴⇑⪆34341)⨰(⊆⋠(⇑⪆23111⇤⇑⪆114110⫰⋱⇑⪆14104⇣⩺⋵⇑⪆114240))","cot":[{"info":"⇑⪆33410∌⇑⪆102234=⇑⪆-102234","layer":3},{"info":"⫓⪴⇑⪆-102234=⇑⪆11014024021","layer":2},{"info":"⇑⪆132231⫣⪄⊒⇑⪆40243=⇑⪆-132233","layer":3},{"info":"⇑⪆23224⩷∴⇑⪆34341=⇑⪆-22341","layer":3},{"info":"⇑⪆-132233⪃⊛⇣⇑⪆-22341=⇑⪆14414","layer":2},{"info":"⇑⪆11014024021⪍↜⋙⇑⪆14414=⇑⪆22033013204","layer":1},{"info":"⇑⪆23111⇤⇑⪆114110=⇑⪆-1324312","layer":3},{"info":"⇑⪆14104⇣⩺⋵⇑⪆114240=⇑⪆-111322","layer":3},{"info":"⇑⪆-1324312⫰⋱⇑⪆-111322=⇑⪆1441421","layer":2},{"info":"⊆⋠⇑⪆1441421=⇑⪆0","layer":1},{"info":"⇑⪆22033013204⨰⇑⪆0=⇑⪆22033013224","layer":0}]}
{"id":196,"expression_no_base_symbol":"(≛$4017$)⇡⇂($2401$⋣⋖$1431$)∑⇟⊟(⇐(⊄⩳↩$6120$))∝(($1348$⪃⊛⇣$1273$⋾⨃∁(⩦⩻⨪$1567$))⨘⋶⪀)","expression":"(≛⇑⪆112032)⇡⇂(⇑⪆34101⋣⋖⇑⪆21211)∑⇟⊟(⇐(⊄⩳↩⇑⪆143440))∝((⇑⪆20343⪃⊛⇣⇑⪆20043⋾⨃∁(⩦⩻⨪⇑⪆22232))⨘⋶⪀)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14245,"operation_count":11,"complexity_ratio":1295.0,"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":4017,"base":5}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2401,"base":5},"right_expr":{"type":"numeric_atoms","value":1431,"base":5}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6120,"base":5}}}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1348,"base":5},"right_expr":{"type":"numeric_atoms","value":1273,"base":5}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1567,"base":5}}}}},"used_operators":["cTDWOvIxvz","U7g4x0WXJJ","UMwdvZNt44","W7eaUhjymW","J0M6qkBnIM","nmZMaaE0Q9","8w2t5hMYqp","XVKwrhznBb","212REbPD9h","rrgAzCduG9","2td37pGCOC"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4017","layer":4},{"info":"compute unary expreesion, input=4017, 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=2401","layer":4},{"info":"number node, value=1431","layer":4},{"info":"compute binary expreesion, left_input=2401, right_input=1431, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2401","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=2401, 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=-7","layer":2},{"info":"number node, value=6120","layer":4},{"info":"compute unary expreesion, input=6120, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-18360","layer":3},{"info":"compute unary expreesion, input=-18360, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-5016","layer":2},{"info":"compute binary expreesion, left_input=-7, right_input=-5016, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1348","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=1273, 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=1567","layer":4},{"info":"compute unary expreesion, input=1567, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1567","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1567, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=24535992","layer":2},{"info":"compute unary expreesion, input=24535992, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼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":5,"result_base":5,"text":"(≛⇑⪆112032)⇡⇂(⇑⪆34101⋣⋖⇑⪆21211)∑⇟⊟(⇐(⊄⩳↩⇑⪆143440))∝((⇑⪆20343⪃⊛⇣⇑⪆20043⋾⨃∁(⩦⩻⨪⇑⪆22232))⨘⋶⪀)=NaN","reverse_text":"NaN=(≛⇑⪆112032)⇡⇂(⇑⪆34101⋣⋖⇑⪆21211)∑⇟⊟(⇐(⊄⩳↩⇑⪆143440))∝((⇑⪆20343⪃⊛⇣⇑⪆20043⋾⨃∁(⩦⩻⨪⇑⪆22232))⨘⋶⪀)","cot":[{"info":"≛⇑⪆112032=⇑⪆-20","layer":3},{"info":"⇑⪆34101⋣⋖⇑⪆21211=⇑⪆34101","layer":3},{"info":"⇑⪆-20⇡⇂⇑⪆34101=⇑⪆-12","layer":2},{"info":"⊄⩳↩⇑⪆143440=⇑⪆-1041420","layer":3},{"info":"⇐⇑⪆-1041420=⇑⪆-130031","layer":2},{"info":"⇑⪆-12∑⇟⊟⇑⪆-130031=NaN","layer":1},{"info":"⇑⪆20343⪃⊛⇣⇑⪆20043=⇑⪆14414","layer":3},{"info":"⩦⩻⨪⇑⪆22232=⇑⪆22232","layer":3},{"info":"⇑⪆14414⋾⨃∁⇑⪆22232=⇑⪆22240122432","layer":2},{"info":"⇑⪆22240122432⨘⋶⪀=NaN","layer":1},{"info":"NaN∝NaN=NaN","layer":0}]}
{"id":197,"expression_no_base_symbol":"⊽(⫎≠⋺($1684$⊢$5587$⫳≱↱$2384$⨿$1975$))","expression":"⊽(⫎≠⋺(⇑⪆23214⊢⇑⪆134322⫳≱↱⇑⪆34014⨿⇑⪆30400))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":322,"operation_count":5,"complexity_ratio":64.4,"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":1684,"base":5},"right_expr":{"type":"numeric_atoms","value":5587,"base":5}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2384,"base":5},"right_expr":{"type":"numeric_atoms","value":1975,"base":5}}}}},"used_operators":["QxG7OkqoLX","LYeZOJ0nQG","ZvLB05nZmT","5twsqlHp2o","abYXlopdE0"],"dependent_operators":["g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1684","layer":4},{"info":"number node, value=5587","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=5587, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3612","layer":3},{"info":"number node, value=2384","layer":4},{"info":"number node, value=1975","layer":4},{"info":"compute binary expreesion, left_input=2384, right_input=1975, 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=-3612, right_input=-319, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-152","layer":2},{"info":"compute unary expreesion, input=-152, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":1},{"info":"compute unary expreesion, input=-709, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"⊽(⫎≠⋺(⇑⪆23214⊢⇑⪆134322⫳≱↱⇑⪆34014⨿⇑⪆30400))=⇑⪆0","reverse_text":"⇑⪆0=⊽(⫎≠⋺(⇑⪆23214⊢⇑⪆134322⫳≱↱⇑⪆34014⨿⇑⪆30400))","cot":[{"info":"⇑⪆23214⊢⇑⪆134322=⇑⪆-103422","layer":3},{"info":"⇑⪆34014⨿⇑⪆30400=⇑⪆-2234","layer":3},{"info":"⇑⪆-103422⫳≱↱⇑⪆-2234=⇑⪆-1102","layer":2},{"info":"⫎≠⋺⇑⪆-1102=⇑⪆-10314","layer":1},{"info":"⊽⇑⪆-10314=⇑⪆0","layer":0}]}
{"id":198,"expression_no_base_symbol":"(⫡⇟⇯($3425$⩨$1066$))⊕∕(⊊≼∋$4159$⪬$1261$)≁↽≥((($5644$⨀⨒)∲⫓$1914$↞⋁$1201$)⋥⋵⩄($7393$≒∊$4942$∠⫱$1403$⨑⩅≇$5453$))","expression":"(⫡⇟⇯(⇑⪆102200⩨⇑⪆13231))⊕∕(⊊≼∋⇑⪆113114⪬⇑⪆20021)≁↽≥(((⇑⪆140034⨀⨒)∲⫓⇑⪆30124↞⋁⇑⪆14301)⋥⋵⩄(⇑⪆214033≒∊⇑⪆124232∠⫱⇑⪆21103⨑⩅≇⇑⪆133303))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7638,"operation_count":13,"complexity_ratio":587.5384615384615,"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":3425,"base":5},"right_expr":{"type":"numeric_atoms","value":1066,"base":5}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4159,"base":5},"right_expr":{"type":"numeric_atoms","value":1261,"base":5}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":5644,"base":5}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1914,"base":5},"right_expr":{"type":"numeric_atoms","value":1201,"base":5}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":7393,"base":5},"right_expr":{"type":"numeric_atoms","value":4942,"base":5}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1403,"base":5},"right_expr":{"type":"numeric_atoms","value":5453,"base":5}}}}},"used_operators":["ncHt1X6cMc","9cloC0Ngie","qWUSsah53b","2DlMacCsIx","FWz7pXsQhA","Ez1Nq5fNfI","7t3wd0Fuz7","i8ToyICDmI","j6NVkjMzuk","RqrPlJkxDo","QvoQhV0rrE","5KTvxBwnZo","h92wMvzauj"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","DZ8iAZOCBD","P8v4zCKN1o","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","jCPkEVoL5K","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3425","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=3425, right_input=1066, 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 = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=868","layer":2},{"info":"number node, value=4159","layer":4},{"info":"number node, value=1261","layer":4},{"info":"compute binary expreesion, left_input=4159, right_input=1261, 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 = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=-447, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=868","layer":1},{"info":"number node, value=5644","layer":4},{"info":"compute unary expreesion, input=5644, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=75748","layer":3},{"info":"number node, value=1914","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=1914, right_input=1201, 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=75748, 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=7393","layer":4},{"info":"number node, value=4942","layer":4},{"info":"compute binary expreesion, left_input=7393, right_input=4942, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-6909","layer":3},{"info":"number node, value=1403","layer":4},{"info":"number node, value=5453","layer":4},{"info":"compute binary expreesion, left_input=1403, right_input=5453, 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=-4209","layer":3},{"info":"compute binary expreesion, left_input=-6909, right_input=-4209, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=-2700","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2700, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⫡⇟⇯(⇑⪆102200⩨⇑⪆13231))⊕∕(⊊≼∋⇑⪆113114⪬⇑⪆20021)≁↽≥(((⇑⪆140034⨀⨒)∲⫓⇑⪆30124↞⋁⇑⪆14301)⋥⋵⩄(⇑⪆214033≒∊⇑⪆124232∠⫱⇑⪆21103⨑⩅≇⇑⪆133303))=NaN","reverse_text":"NaN=(⫡⇟⇯(⇑⪆102200⩨⇑⪆13231))⊕∕(⊊≼∋⇑⪆113114⪬⇑⪆20021)≁↽≥(((⇑⪆140034⨀⨒)∲⫓⇑⪆30124↞⋁⇑⪆14301)⋥⋵⩄(⇑⪆214033≒∊⇑⪆124232∠⫱⇑⪆21103⨑⩅≇⇑⪆133303))","cot":[{"info":"⇑⪆102200⩨⇑⪆13231=⇑⪆0","layer":3},{"info":"⫡⇟⇯⇑⪆0=⇑⪆11433","layer":2},{"info":"⇑⪆113114⪬⇑⪆20021=⇑⪆14414","layer":3},{"info":"⊊≼∋⇑⪆14414=⇑⪆-3242","layer":2},{"info":"⇑⪆11433⊕∕⇑⪆-3242=⇑⪆11433","layer":1},{"info":"⇑⪆140034⨀⨒=⇑⪆4410443","layer":3},{"info":"⇑⪆30124↞⋁⇑⪆14301=NaN","layer":3},{"info":"⇑⪆4410443∲⫓NaN=NaN","layer":2},{"info":"⇑⪆214033≒∊⇑⪆124232=⇑⪆-210114","layer":3},{"info":"⇑⪆21103⨑⩅≇⇑⪆133303=⇑⪆-113314","layer":3},{"info":"⇑⪆-210114∠⫱⇑⪆-113314=⇑⪆-41300","layer":2},{"info":"NaN⋥⋵⩄⇑⪆-41300=NaN","layer":1},{"info":"⇑⪆11433≁↽≥NaN=NaN","layer":0}]}
{"id":199,"expression_no_base_symbol":"(($3149$⨓$5856$)⨪↰⇹($6932$⪠⩆⊳)⫥∨⫟($4602$⪁$2376$)≭($1861$⩤))⇡⇂(($2250$⪕$1365$)⫞⩸⩒$3076$⨿$1084$∸)","expression":"((⇑⪆100044⨓⇑⪆141411)⨪↰⇹(⇑⪆210212⪠⩆⊳)⫥∨⫟(⇑⪆121402⪁⇑⪆34001)≭(⇑⪆24421⩤))⇡⇂((⇑⪆33000⪕⇑⪆20430)⫞⩸⩒⇑⪆44301⨿⇑⪆13314∸)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":72427351,"operation_count":12,"complexity_ratio":6035612.583333333,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3149,"base":5},"right_expr":{"type":"numeric_atoms","value":5856,"base":5}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":6932,"base":5}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":4602,"base":5},"right_expr":{"type":"numeric_atoms","value":2376,"base":5}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1861,"base":5}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2250,"base":5},"right_expr":{"type":"numeric_atoms","value":1365,"base":5}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3076,"base":5},"right_expr":{"type":"numeric_atoms","value":1084,"base":5}}}}},"used_operators":["UMwdvZNt44","KYD54nUTWz","tmPS8pqC7x","3ViojmjbAp","JLbD19bQDL","rxpJgHHUmx","I7sXao9hZE","Z2TMIBDE3Q","o20kRiQErp","XGcMNugi78","umQnsF7QlU","abYXlopdE0"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","8HhzD0ZcuI","rGHVDoGpnC","rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3149","layer":4},{"info":"number node, value=5856","layer":4},{"info":"compute binary expreesion, left_input=3149, right_input=5856, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5859","layer":3},{"info":"number node, value=6932","layer":4},{"info":"compute unary expreesion, input=6932, 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=-5859, 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=5859","layer":2},{"info":"number node, value=4602","layer":4},{"info":"number node, value=2376","layer":4},{"info":"compute binary expreesion, left_input=4602, right_input=2376, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1861","layer":4},{"info":"compute unary expreesion, input=1861, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1861","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1861, 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=5859, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2250","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=2250, right_input=1365, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4036","layer":3},{"info":"number node, value=3076","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=3076, right_input=1084, 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=4036, right_input=-319, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4036","layer":2},{"info":"compute unary expreesion, input=4036, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, 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":5,"result_base":5,"text":"((⇑⪆100044⨓⇑⪆141411)⨪↰⇹(⇑⪆210212⪠⩆⊳)⫥∨⫟(⇑⪆121402⪁⇑⪆34001)≭(⇑⪆24421⩤))⇡⇂((⇑⪆33000⪕⇑⪆20430)⫞⩸⩒⇑⪆44301⨿⇑⪆13314∸)=NaN","reverse_text":"NaN=((⇑⪆100044⨓⇑⪆141411)⨪↰⇹(⇑⪆210212⪠⩆⊳)⫥∨⫟(⇑⪆121402⪁⇑⪆34001)≭(⇑⪆24421⩤))⇡⇂((⇑⪆33000⪕⇑⪆20430)⫞⩸⩒⇑⪆44301⨿⇑⪆13314∸)","cot":[{"info":"⇑⪆100044⨓⇑⪆141411=⇑⪆-141414","layer":3},{"info":"⇑⪆210212⪠⩆⊳=⇑⪆0","layer":3},{"info":"⇑⪆-141414⨪↰⇹⇑⪆0=⇑⪆141414","layer":2},{"info":"⇑⪆121402⪁⇑⪆34001=NaN","layer":3},{"info":"⇑⪆24421⩤=⇑⪆-24421","layer":3},{"info":"NaN≭⇑⪆-24421=NaN","layer":2},{"info":"⇑⪆141414⫥∨⫟NaN=NaN","layer":1},{"info":"⇑⪆33000⪕⇑⪆20430=⇑⪆112121","layer":3},{"info":"⇑⪆44301⨿⇑⪆13314=⇑⪆-2234","layer":3},{"info":"⇑⪆112121⫞⩸⩒⇑⪆-2234=⇑⪆112121","layer":2},{"info":"⇑⪆112121∸=⇑⪆1202","layer":1},{"info":"NaN⇡⇂⇑⪆1202=NaN","layer":0}]}
{"id":200,"expression_no_base_symbol":"(($1356$⩵∡$3318$)⫁($1140$∌↝$1653$))⫗⊷⫓(($5276$≁$6604$)≁↽≥($3839$⋣⋖$1217$))⋝⋈⪟(($1901$≭$3765$↡⊰⫅$3591$↬$2638$)⫠)","expression":"((⇑⪆20411⩵∡⇑⪆101233)⫁(⇑⪆14030∌↝⇑⪆23103))⫗⊷⫓((⇑⪆132101≁⇑⪆202404)≁↽≥(⇑⪆110324⋣⋖⇑⪆14332))⋝⋈⪟((⇑⪆30101≭⇑⪆110030↡⊰⫅⇑⪆103331↬⇑⪆41023)⫠)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":12704,"operation_count":12,"complexity_ratio":1058.6666666666667,"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":1356,"base":5},"right_expr":{"type":"numeric_atoms","value":3318,"base":5}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1140,"base":5},"right_expr":{"type":"numeric_atoms","value":1653,"base":5}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":5276,"base":5},"right_expr":{"type":"numeric_atoms","value":6604,"base":5}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3839,"base":5},"right_expr":{"type":"numeric_atoms","value":1217,"base":5}}}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1901,"base":5},"right_expr":{"type":"numeric_atoms","value":3765,"base":5}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3591,"base":5},"right_expr":{"type":"numeric_atoms","value":2638,"base":5}}}}},"used_operators":["2DDjHMKMc0","zashukvMKz","0ajvFaJAv0","Y7wcNGrDQJ","9Isq31Ruls","ncHt1X6cMc","8N2wDY1A35","J0M6qkBnIM","6SnOT2rOjz","VCtxkLNOzz","rxpJgHHUmx","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","cHh1gJQ2o6","AHs5Up7iyr","NTOWxs364D","glklzrTFfD","tifHPKVTfV","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","oWn0xqSxBt","3Oe9XWJUTD","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","AHs5Up7iyr","rGHVDoGpnC"],"result":"⇑⪆-1014","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1356","layer":4},{"info":"number node, value=3318","layer":4},{"info":"compute binary expreesion, left_input=1356, right_input=3318, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=485","layer":3},{"info":"number node, value=1140","layer":4},{"info":"number node, value=1653","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=1653, 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=485, 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=5276","layer":4},{"info":"number node, value=6604","layer":4},{"info":"compute binary expreesion, left_input=5276, right_input=6604, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=145295","layer":3},{"info":"number node, value=3839","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=3839, right_input=1217, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3839","layer":3},{"info":"compute binary expreesion, left_input=145295, right_input=3839, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=1891001","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=1891001, 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=1901","layer":4},{"info":"number node, value=3765","layer":4},{"info":"compute binary expreesion, left_input=1901, right_input=3765, 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=3591","layer":4},{"info":"number node, value=2638","layer":4},{"info":"compute binary expreesion, left_input=3591, right_input=2638, 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 = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-134","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆20411⩵∡⇑⪆101233)⫁(⇑⪆14030∌↝⇑⪆23103))⫗⊷⫓((⇑⪆132101≁⇑⪆202404)≁↽≥(⇑⪆110324⋣⋖⇑⪆14332))⋝⋈⪟((⇑⪆30101≭⇑⪆110030↡⊰⫅⇑⪆103331↬⇑⪆41023)⫠)=⇑⪆-1014","reverse_text":"⇑⪆-1014=((⇑⪆20411⩵∡⇑⪆101233)⫁(⇑⪆14030∌↝⇑⪆23103))⫗⊷⫓((⇑⪆132101≁⇑⪆202404)≁↽≥(⇑⪆110324⋣⋖⇑⪆14332))⋝⋈⪟((⇑⪆30101≭⇑⪆110030↡⊰⫅⇑⪆103331↬⇑⪆41023)⫠)","cot":[{"info":"⇑⪆20411⩵∡⇑⪆101233=⇑⪆3420","layer":3},{"info":"⇑⪆14030∌↝⇑⪆23103=⇑⪆0","layer":3},{"info":"⇑⪆3420⫁⇑⪆0=⇑⪆1120","layer":2},{"info":"⇑⪆132101≁⇑⪆202404=⇑⪆14122140","layer":3},{"info":"⇑⪆110324⋣⋖⇑⪆14332=⇑⪆110324","layer":3},{"info":"⇑⪆14122140≁↽≥⇑⪆110324=⇑⪆441003001","layer":2},{"info":"⇑⪆1120⫗⊷⫓⇑⪆441003001=⇑⪆-1014","layer":1},{"info":"⇑⪆30101≭⇑⪆110030=NaN","layer":3},{"info":"⇑⪆103331↬⇑⪆41023=NaN","layer":3},{"info":"NaN↡⊰⫅NaN=NaN","layer":2},{"info":"NaN⫠=⇑⪆0","layer":1},{"info":"⇑⪆-1014⋝⋈⪟⇑⪆0=⇑⪆-1014","layer":0}]}
{"id":201,"expression_no_base_symbol":"(($6820$⊋$1827$⪶≀⋏($1270$⩺⪪$1236$))⪘⨀)⋕⪉⪜((⊑$1034$)⪕(≦∁$6248$)∙∹∝($2738$⫒⫫$5292$)∥⊢⊲($6032$⋷$5562$))","expression":"((⇑⪆204240⊋⇑⪆24302⪶≀⋏(⇑⪆20040⩺⪪⇑⪆14421))⪘⨀)⋕⪉⪜((⊑⇑⪆13114)⪕(≦∁⇑⪆144443)∙∹∝(⇑⪆41423⫒⫫⇑⪆132132)∥⊢⊲(⇑⪆143112⋷⇑⪆134222))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7637,"operation_count":12,"complexity_ratio":636.4166666666666,"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":6820,"base":5},"right_expr":{"type":"numeric_atoms","value":1827,"base":5}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1270,"base":5},"right_expr":{"type":"numeric_atoms","value":1236,"base":5}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1034,"base":5}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":6248,"base":5}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2738,"base":5},"right_expr":{"type":"numeric_atoms","value":5292,"base":5}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6032,"base":5},"right_expr":{"type":"numeric_atoms","value":5562,"base":5}}}}},"used_operators":["z6LnFrNh4i","aA7tF3KVD3","zR4jO40bMj","W4tP9CfskL","uvdQJvN4PV","HmxsFra2vL","umQnsF7QlU","IkUmn0D7oy","9ICcGScMcE","v1UQAVDJRr","6Ko8hGgeMq","23Mk6UjR3U"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","EBcxylXtPf","rGHVDoGpnC","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆42202","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6820","layer":4},{"info":"number node, value=1827","layer":4},{"info":"compute binary expreesion, left_input=6820, right_input=1827, 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=70307104","layer":3},{"info":"number node, value=1270","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=1270, right_input=1236, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1442","layer":3},{"info":"compute binary expreesion, left_input=70307104, right_input=-1442, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-210918660","layer":2},{"info":"compute unary expreesion, input=-210918660, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=421837520","layer":1},{"info":"number node, value=1034","layer":4},{"info":"compute unary expreesion, input=1034, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=6248","layer":4},{"info":"compute unary expreesion, input=6248, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6248","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=6248, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"number node, value=2738","layer":4},{"info":"number node, value=5292","layer":4},{"info":"compute binary expreesion, left_input=2738, right_input=5292, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=6032","layer":4},{"info":"number node, value=5562","layer":4},{"info":"compute binary expreesion, left_input=6032, right_input=5562, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5092","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5092, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=5092","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=5092, 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=421837520, right_input=0, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆204240⊋⇑⪆24302⪶≀⋏(⇑⪆20040⩺⪪⇑⪆14421))⪘⨀)⋕⪉⪜((⊑⇑⪆13114)⪕(≦∁⇑⪆144443)∙∹∝(⇑⪆41423⫒⫫⇑⪆132132)∥⊢⊲(⇑⪆143112⋷⇑⪆134222))=⇑⪆42202","reverse_text":"⇑⪆42202=((⇑⪆204240⊋⇑⪆24302⪶≀⋏(⇑⪆20040⩺⪪⇑⪆14421))⪘⨀)⋕⪉⪜((⊑⇑⪆13114)⪕(≦∁⇑⪆144443)∙∹∝(⇑⪆41423⫒⫫⇑⪆132132)∥⊢⊲(⇑⪆143112⋷⇑⪆134222))","cot":[{"info":"⇑⪆204240⊋⇑⪆24302=⇑⪆120444311404","layer":3},{"info":"⇑⪆20040⩺⪪⇑⪆14421=⇑⪆-21232","layer":3},{"info":"⇑⪆120444311404⪶≀⋏⇑⪆-21232=⇑⪆-412443344120","layer":2},{"info":"⇑⪆-412443344120⪘⨀=⇑⪆1330442300040","layer":1},{"info":"⊑⇑⪆13114=⇑⪆1232","layer":3},{"info":"≦∁⇑⪆144443=⇑⪆144443","layer":3},{"info":"⇑⪆1232⪕⇑⪆144443=⇑⪆-210","layer":2},{"info":"⇑⪆41423⫒⫫⇑⪆132132=NaN","layer":3},{"info":"⇑⪆143112⋷⇑⪆134222=⇑⪆130332","layer":3},{"info":"NaN∥⊢⊲⇑⪆130332=⇑⪆130332","layer":2},{"info":"⇑⪆-210∙∹∝⇑⪆130332=⇑⪆0","layer":1},{"info":"⇑⪆1330442300040⋕⪉⪜⇑⪆0=⇑⪆42202","layer":0}]}
{"id":202,"expression_no_base_symbol":"(($2413$⋻⩜⩜$3968$)⩘($2405$⪶≀⋏$8824$))↤⩊(≑⋹($3647$⩟))⇴∐(($2203$⊢$2550$)⪒⊣⊆($2750$⋝⋈⪟$2178$)↡⊰⫅($8644$⪘⫢$3140$)∌($4982$⨳⩥⨓$3990$))","expression":"((⇑⪆34123⋻⩜⩜⇑⪆111333)⩘(⇑⪆34110⪶≀⋏⇑⪆240244))↤⩊(≑⋹(⇑⪆104042⩟))⇴∐((⇑⪆32303⊢⇑⪆40200)⪒⊣⊆(⇑⪆42000⋝⋈⪟⇑⪆32203)↡⊰⫅(⇑⪆234034⪘⫢⇑⪆100030)∌(⇑⪆124412⨳⩥⨓⇑⪆111430))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":101744,"operation_count":14,"complexity_ratio":7267.428571428572,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2413,"base":5},"right_expr":{"type":"numeric_atoms","value":3968,"base":5}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2405,"base":5},"right_expr":{"type":"numeric_atoms","value":8824,"base":5}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":3647,"base":5}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2203,"base":5},"right_expr":{"type":"numeric_atoms","value":2550,"base":5}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2750,"base":5},"right_expr":{"type":"numeric_atoms","value":2178,"base":5}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":8644,"base":5},"right_expr":{"type":"numeric_atoms","value":3140,"base":5}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4982,"base":5},"right_expr":{"type":"numeric_atoms","value":3990,"base":5}}}}},"used_operators":["HnzytWxmAO","13rbtpv6ld","cHh1gJQ2o6","oDCm7WA9JY","zR4jO40bMj","6B9nyZLogK","fOIeswaMU4","VCtxkLNOzz","eRqsBgTDFp","5twsqlHp2o","2DDjHMKMc0","8cLx32lpNA","oacrs7FA3X","nCS4ZIUYfx"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","sdazOOVcIp","W4YGzv6Whe","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2413","layer":4},{"info":"number node, value=3968","layer":4},{"info":"compute binary expreesion, left_input=2413, right_input=3968, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4826","layer":3},{"info":"number node, value=2405","layer":4},{"info":"number node, value=8824","layer":4},{"info":"compute binary expreesion, left_input=2405, right_input=8824, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-25095","layer":3},{"info":"compute binary expreesion, left_input=4826, right_input=-25095, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=3647","layer":4},{"info":"compute unary expreesion, input=3647, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-31596","layer":3},{"info":"compute unary expreesion, input=-31596, 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=160, right_input=-766, 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=2203","layer":4},{"info":"number node, value=2550","layer":4},{"info":"compute binary expreesion, left_input=2203, right_input=2550, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4650","layer":3},{"info":"number node, value=2750","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=2750, right_input=2178, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2750","layer":3},{"info":"compute binary expreesion, left_input=-4650, right_input=2750, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=14902","layer":2},{"info":"number node, value=8644","layer":4},{"info":"number node, value=3140","layer":4},{"info":"compute binary expreesion, left_input=8644, right_input=3140, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=17164","layer":3},{"info":"number node, value=4982","layer":4},{"info":"number node, value=3990","layer":4},{"info":"compute binary expreesion, left_input=4982, right_input=3990, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-992","layer":3},{"info":"compute binary expreesion, left_input=17164, right_input=-992, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=992","layer":2},{"info":"compute binary expreesion, left_input=14902, right_input=992, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=1984","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1984, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆34123⋻⩜⩜⇑⪆111333)⩘(⇑⪆34110⪶≀⋏⇑⪆240244))↤⩊(≑⋹(⇑⪆104042⩟))⇴∐((⇑⪆32303⊢⇑⪆40200)⪒⊣⊆(⇑⪆42000⋝⋈⪟⇑⪆32203)↡⊰⫅(⇑⪆234034⪘⫢⇑⪆100030)∌(⇑⪆124412⨳⩥⨓⇑⪆111430))=NaN","reverse_text":"NaN=((⇑⪆34123⋻⩜⩜⇑⪆111333)⩘(⇑⪆34110⪶≀⋏⇑⪆240244))↤⩊(≑⋹(⇑⪆104042⩟))⇴∐((⇑⪆32303⊢⇑⪆40200)⪒⊣⊆(⇑⪆42000⋝⋈⪟⇑⪆32203)↡⊰⫅(⇑⪆234034⪘⫢⇑⪆100030)∌(⇑⪆124412⨳⩥⨓⇑⪆111430))","cot":[{"info":"⇑⪆34123⋻⩜⩜⇑⪆111333=⇑⪆123301","layer":3},{"info":"⇑⪆34110⪶≀⋏⇑⪆240244=⇑⪆-1300340","layer":3},{"info":"⇑⪆123301⩘⇑⪆-1300340=⇑⪆1120","layer":2},{"info":"⇑⪆104042⩟=⇑⪆-2002341","layer":3},{"info":"≑⋹⇑⪆-2002341=⇑⪆-11031","layer":2},{"info":"⇑⪆1120↤⩊⇑⪆-11031=NaN","layer":1},{"info":"⇑⪆32303⊢⇑⪆40200=⇑⪆-122100","layer":3},{"info":"⇑⪆42000⋝⋈⪟⇑⪆32203=⇑⪆42000","layer":3},{"info":"⇑⪆-122100⪒⊣⊆⇑⪆42000=⇑⪆434102","layer":2},{"info":"⇑⪆234034⪘⫢⇑⪆100030=⇑⪆1022124","layer":3},{"info":"⇑⪆124412⨳⩥⨓⇑⪆111430=⇑⪆-12432","layer":3},{"info":"⇑⪆1022124∌⇑⪆-12432=⇑⪆12432","layer":2},{"info":"⇑⪆434102↡⊰⫅⇑⪆12432=⇑⪆30414","layer":1},{"info":"NaN⇴∐⇑⪆30414=NaN","layer":0}]}
{"id":203,"expression_no_base_symbol":"⇋⊎⋝((($3189$≬⋮$1200$)⪔⊥($5666$⪭$1145$))⨑⩅≇(⩦⊞($3417$⩉⊫⨁)))","expression":"⇋⊎⋝(((⇑⪆100224≬⋮⇑⪆14300)⪔⊥(⇑⪆140131⪭⇑⪆14040))⨑⩅≇(⩦⊞(⇑⪆102132⩉⊫⨁)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7104,"operation_count":7,"complexity_ratio":1014.8571428571429,"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":3189,"base":5},"right_expr":{"type":"numeric_atoms","value":1200,"base":5}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":5666,"base":5},"right_expr":{"type":"numeric_atoms","value":1145,"base":5}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":3417,"base":5}}}}},"used_operators":["CzM2PEoXns","h92wMvzauj","HJ9erzHUuu","kbkesczE7y","j9kHMeSvPp","u7fv1HBiaC","7qqUquhhSb"],"dependent_operators":["dWAJyo7jo9","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","COABgblf1C","xUOZtlo3hN","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3189","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=3189, right_input=1200, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=5666","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=5666, right_input=1145, 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=868, right_input=5, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-69","layer":2},{"info":"number node, value=3417","layer":4},{"info":"compute unary expreesion, input=3417, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=3417","layer":3},{"info":"compute unary expreesion, input=3417, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-3144","layer":2},{"info":"compute binary expreesion, left_input=-69, right_input=-3144, 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=6976","layer":1},{"info":"compute unary expreesion, input=6976, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⇋⊎⋝(((⇑⪆100224≬⋮⇑⪆14300)⪔⊥(⇑⪆140131⪭⇑⪆14040))⨑⩅≇(⩦⊞(⇑⪆102132⩉⊫⨁)))=NaN","reverse_text":"NaN=⇋⊎⋝(((⇑⪆100224≬⋮⇑⪆14300)⪔⊥(⇑⪆140131⪭⇑⪆14040))⨑⩅≇(⩦⊞(⇑⪆102132⩉⊫⨁)))","cot":[{"info":"⇑⪆100224≬⋮⇑⪆14300=⇑⪆11433","layer":3},{"info":"⇑⪆140131⪭⇑⪆14040=⇑⪆10","layer":3},{"info":"⇑⪆11433⪔⊥⇑⪆10=⇑⪆-234","layer":2},{"info":"⇑⪆102132⩉⊫⨁=⇑⪆102132","layer":3},{"info":"⩦⊞⇑⪆102132=⇑⪆-100034","layer":2},{"info":"⇑⪆-234⨑⩅≇⇑⪆-100034=⇑⪆210401","layer":1},{"info":"⇋⊎⋝⇑⪆210401=NaN","layer":0}]}
{"id":204,"expression_no_base_symbol":"⋠∜(↘($9119$⩘)⫉⨲⊜($1161$⇴$3901$))","expression":"⋠∜(↘(⇑⪆242434⩘)⫉⨲⊜(⇑⪆14121⇴⇑⪆111101))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":114,"operation_count":5,"complexity_ratio":22.8,"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":9119,"base":5}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1161,"base":5},"right_expr":{"type":"numeric_atoms","value":3901,"base":5}}}}},"used_operators":["ZJpFhNJr3x","LdNpr8hQHL","WhqkvtTD3t","wvHyciQT5X","4JB6nKBMSY"],"dependent_operators":["X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","uFcxV4UQCh","eewbuw0ToL","zVYPLywUTj","9ICcGScMcE","dfKe02y8D2","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"⇑⪆33114","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=9119","layer":4},{"info":"compute unary expreesion, input=9119, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"number node, value=1161","layer":4},{"info":"number node, value=3901","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=3901, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=14382","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=14382, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=2284","layer":0}],"base":5,"result_base":5,"text":"⋠∜(↘(⇑⪆242434⩘)⫉⨲⊜(⇑⪆14121⇴⇑⪆111101))=⇑⪆33114","reverse_text":"⇑⪆33114=⋠∜(↘(⇑⪆242434⩘)⫉⨲⊜(⇑⪆14121⇴⇑⪆111101))","cot":[{"info":"⇑⪆242434⩘=⇑⪆232","layer":3},{"info":"⇑⪆14121⇴⇑⪆111101=⇑⪆430012","layer":3},{"info":"⇑⪆232⫉⨲⊜⇑⪆430012=⇑⪆0","layer":2},{"info":"↘⇑⪆0=⇑⪆0","layer":1},{"info":"⋠∜⇑⪆0=⇑⪆33114","layer":0}]}
{"id":205,"expression_no_base_symbol":"(≸≮($1117$⩖⊿$1544$∋(⪫⨮⊛$8113$)))⨎⋸⪻","expression":"(≸≮(⇑⪆13432⩖⊿⇑⪆22134∋(⪫⨮⊛⇑⪆224423)))⨎⋸⪻","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2459709,"operation_count":5,"complexity_ratio":491941.8,"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":1117,"base":5},"right_expr":{"type":"numeric_atoms","value":1544,"base":5}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":8113,"base":5}}}}},"used_operators":["Dk5vyLCiGd","AljMvE3RRm","ukq6epAj5P","RZ5CV9rWsJ","w5FWba1tyO"],"dependent_operators":["IWmyXbctLI","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"⇑⪆1124424332","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1117","layer":4},{"info":"number node, value=1544","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=1544, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=7802","layer":3},{"info":"number node, value=8113","layer":4},{"info":"compute unary expreesion, input=8113, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7802, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-85832","layer":2},{"info":"compute unary expreesion, input=-85832, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=1288263","layer":1},{"info":"compute unary expreesion, input=1288263, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=2576842","layer":0}],"base":5,"result_base":5,"text":"(≸≮(⇑⪆13432⩖⊿⇑⪆22134∋(⪫⨮⊛⇑⪆224423)))⨎⋸⪻=⇑⪆1124424332","reverse_text":"⇑⪆1124424332=(≸≮(⇑⪆13432⩖⊿⇑⪆22134∋(⪫⨮⊛⇑⪆224423)))⨎⋸⪻","cot":[{"info":"⇑⪆13432⩖⊿⇑⪆22134=⇑⪆222202","layer":3},{"info":"⪫⨮⊛⇑⪆224423=NaN","layer":3},{"info":"⇑⪆222202∋NaN=⇑⪆-10221312","layer":2},{"info":"≸≮⇑⪆-10221312=⇑⪆312211023","layer":1},{"info":"⇑⪆312211023⨎⋸⪻=⇑⪆1124424332","layer":0}]}
{"id":206,"expression_no_base_symbol":"⇈($2699$≹⇙⪍$5592$⪮%⊝($7300$⋓$3628$)⋝⋈⪟(($4759$↡⊰⫅$2858$)+⇶⊼($5042$⫔⩽⩺$1970$)))","expression":"⇈(⇑⪆41244≹⇙⪍⇑⪆134332⪮%⊝(⇑⪆213200⋓⇑⪆104003)⋝⋈⪟((⇑⪆123014↡⊰⫅⇑⪆42413)+⇶⊼(⇑⪆130132⫔⩽⩺⇑⪆30340)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":41098,"operation_count":8,"complexity_ratio":5137.25,"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":2699,"base":5},"right_expr":{"type":"numeric_atoms","value":5592,"base":5}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7300,"base":5},"right_expr":{"type":"numeric_atoms","value":3628,"base":5}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":4759,"base":5},"right_expr":{"type":"numeric_atoms","value":2858,"base":5}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":5042,"base":5},"right_expr":{"type":"numeric_atoms","value":1970,"base":5}}}}},"used_operators":["SLLxy00UIr","2DDjHMKMc0","IWmyXbctLI","AHs5Up7iyr","T2fj7uvVaJ","TpPTUOHfaN","VCtxkLNOzz","i9eR4S00cU"],"dependent_operators":["Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","Tw270M8GLb","fu6greOZ01"],"result":"⇑⪆-3242","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=2699","layer":4},{"info":"number node, value=5592","layer":4},{"info":"compute binary expreesion, left_input=2699, right_input=5592, 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=7300","layer":4},{"info":"number node, value=3628","layer":4},{"info":"compute binary expreesion, left_input=7300, right_input=3628, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=4759","layer":4},{"info":"number node, value=2858","layer":4},{"info":"compute binary expreesion, left_input=4759, right_input=2858, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5716","layer":3},{"info":"number node, value=5042","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=5042, right_input=1970, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5716, 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=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":0}],"base":5,"result_base":5,"text":"⇈(⇑⪆41244≹⇙⪍⇑⪆134332⪮%⊝(⇑⪆213200⋓⇑⪆104003)⋝⋈⪟((⇑⪆123014↡⊰⫅⇑⪆42413)+⇶⊼(⇑⪆130132⫔⩽⩺⇑⪆30340)))=⇑⪆-3242","reverse_text":"⇑⪆-3242=⇈(⇑⪆41244≹⇙⪍⇑⪆134332⪮%⊝(⇑⪆213200⋓⇑⪆104003)⋝⋈⪟((⇑⪆123014↡⊰⫅⇑⪆42413)+⇶⊼(⇑⪆130132⫔⩽⩺⇑⪆30340)))","cot":[{"info":"⇑⪆41244≹⇙⪍⇑⪆134332=NaN","layer":3},{"info":"⇑⪆213200⋓⇑⪆104003=⇑⪆0","layer":3},{"info":"NaN⪮%⊝⇑⪆0=NaN","layer":2},{"info":"⇑⪆123014↡⊰⫅⇑⪆42413=⇑⪆140331","layer":3},{"info":"⇑⪆130132⫔⩽⩺⇑⪆30340=NaN","layer":3},{"info":"⇑⪆140331+⇶⊼NaN=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"⇈NaN=⇑⪆-3242","layer":0}]}
{"id":207,"expression_no_base_symbol":"(⫶⊄≣(⋗⩬⋾($2890$↸$9569$)))⇂≾⫗((⫯$8763$)⨔⇊($2341$⫲⨊)⪛⫼($2070$⨌↪)↳≱($2973$∓⋝$3037$))","expression":"(⫶⊄≣(⋗⩬⋾(⇑⪆43030↸⇑⪆301234)))⇂≾⫗((⫯⇑⪆240023)⨔⇊(⇑⪆33331⫲⨊)⪛⫼(⇑⪆31240⨌↪)↳≱(⇑⪆43343∓⋝⇑⪆44122))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12161,"operation_count":11,"complexity_ratio":1105.5454545454545,"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":2890,"base":5},"right_expr":{"type":"numeric_atoms","value":9569,"base":5}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":8763,"base":5}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":2341,"base":5}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":2070,"base":5}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2973,"base":5},"right_expr":{"type":"numeric_atoms","value":3037,"base":5}}}}},"used_operators":["aBQ6xLxuTc","wxb3vTeyAj","DpFCA1CohY","1eCjFl0mb9","hyuBjUqXlG","JclMnS0uGI","H6BK1Evt7c","CArV6hThFE","JwTKLfZU96","cWQsF5MvuD","PoHhknlbAi"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⇑⪆-10201","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2890","layer":4},{"info":"number node, value=9569","layer":4},{"info":"compute binary expreesion, left_input=2890, right_input=9569, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2890","layer":3},{"info":"compute unary expreesion, input=2890, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8670","layer":2},{"info":"compute unary expreesion, input=-8670, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=1352880829","layer":1},{"info":"number node, value=8763","layer":4},{"info":"compute unary expreesion, input=8763, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-353258","layer":3},{"info":"number node, value=2341","layer":4},{"info":"compute unary expreesion, input=2341, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=12488","layer":3},{"info":"compute binary expreesion, left_input=-353258, right_input=12488, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=12488","layer":2},{"info":"number node, value=2070","layer":4},{"info":"compute unary expreesion, input=2070, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"number node, value=2973","layer":4},{"info":"number node, value=3037","layer":4},{"info":"compute binary expreesion, left_input=2973, right_input=3037, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-480, right_input=67, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=12488, right_input=0, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=1352880829, right_input=968, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":0}],"base":5,"result_base":5,"text":"(⫶⊄≣(⋗⩬⋾(⇑⪆43030↸⇑⪆301234)))⇂≾⫗((⫯⇑⪆240023)⨔⇊(⇑⪆33331⫲⨊)⪛⫼(⇑⪆31240⨌↪)↳≱(⇑⪆43343∓⋝⇑⪆44122))=⇑⪆-10201","reverse_text":"⇑⪆-10201=(⫶⊄≣(⋗⩬⋾(⇑⪆43030↸⇑⪆301234)))⇂≾⫗((⫯⇑⪆240023)⨔⇊(⇑⪆33331⫲⨊)⪛⫼(⇑⪆31240⨌↪)↳≱(⇑⪆43343∓⋝⇑⪆44122))","cot":[{"info":"⇑⪆43030↸⇑⪆301234=⇑⪆43030","layer":3},{"info":"⋗⩬⋾⇑⪆43030=⇑⪆-234140","layer":2},{"info":"⫶⊄≣⇑⪆-234140=⇑⪆10232314141304","layer":1},{"info":"⫯⇑⪆240023=⇑⪆-42301013","layer":3},{"info":"⇑⪆33331⫲⨊=⇑⪆344423","layer":3},{"info":"⇑⪆-42301013⨔⇊⇑⪆344423=⇑⪆344423","layer":2},{"info":"⇑⪆31240⨌↪=⇑⪆-3410","layer":3},{"info":"⇑⪆43343∓⋝⇑⪆44122=⇑⪆232","layer":3},{"info":"⇑⪆-3410↳≱⇑⪆232=⇑⪆0","layer":2},{"info":"⇑⪆344423⪛⫼⇑⪆0=⇑⪆12333","layer":1},{"info":"⇑⪆10232314141304⇂≾⫗⇑⪆12333=⇑⪆-10201","layer":0}]}
{"id":208,"expression_no_base_symbol":"((⇜⊴$1930$⨔≚≋$1269$)⇷($1031$⊹∫⫚$4896$)⊉↱≁($1880$⋻⩜⩜$8097$))⪔⊥(⊗(($7275$⩅⪻⪻)⩏))","expression":"((⇜⊴⇑⪆30210⨔≚≋⇑⪆20034)⇷(⇑⪆13111⊹∫⫚⇑⪆124041)⊉↱≁(⇑⪆30010⋻⩜⩜⇑⪆224342))⪔⊥(⊗((⇑⪆213100⩅⪻⪻)⩏))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":113972,"operation_count":10,"complexity_ratio":11397.2,"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":1930,"base":5},"right_expr":{"type":"numeric_atoms","value":1269,"base":5}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1031,"base":5},"right_expr":{"type":"numeric_atoms","value":4896,"base":5}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1880,"base":5},"right_expr":{"type":"numeric_atoms","value":8097,"base":5}}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":7275,"base":5}}}}},"used_operators":["HJ9erzHUuu","mp7IySMOzn","XwDhCwWbUn","Z57zeUYC9z","w2P8NbNXyL","uWAJUKEvyW","oDCm7WA9JY","RhiyfpczSx","iA2gmKZ3Wj","kHoXpA7yos"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","z6LnFrNh4i","Tcnh7f0tEr","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1930","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=1930, right_input=1269, 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 = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-2316078","layer":2},{"info":"number node, value=1031","layer":4},{"info":"number node, value=4896","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=4896, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-216","layer":3},{"info":"number node, value=1880","layer":4},{"info":"number node, value=8097","layer":4},{"info":"compute binary expreesion, left_input=1880, right_input=8097, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3760","layer":3},{"info":"compute binary expreesion, left_input=-216, right_input=3760, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-25834","layer":2},{"info":"compute binary expreesion, left_input=-2316078, right_input=-25834, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=7275","layer":4},{"info":"compute unary expreesion, input=7275, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-1076125","layer":3},{"info":"compute unary expreesion, input=-1076125, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', 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 = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇜⊴⇑⪆30210⨔≚≋⇑⪆20034)⇷(⇑⪆13111⊹∫⫚⇑⪆124041)⊉↱≁(⇑⪆30010⋻⩜⩜⇑⪆224342))⪔⊥(⊗((⇑⪆213100⩅⪻⪻)⩏))=NaN","reverse_text":"NaN=((⇜⊴⇑⪆30210⨔≚≋⇑⪆20034)⇷(⇑⪆13111⊹∫⫚⇑⪆124041)⊉↱≁(⇑⪆30010⋻⩜⩜⇑⪆224342))⪔⊥(⊗((⇑⪆213100⩅⪻⪻)⩏))","cot":[{"info":"⇑⪆30210⨔≚≋⇑⪆20034=⇑⪆303442","layer":3},{"info":"⇜⊴⇑⪆303442=⇑⪆-1043103303","layer":2},{"info":"⇑⪆13111⊹∫⫚⇑⪆124041=⇑⪆-1331","layer":3},{"info":"⇑⪆30010⋻⩜⩜⇑⪆224342=⇑⪆110020","layer":3},{"info":"⇑⪆-1331⊉↱≁⇑⪆110020=⇑⪆-1311314","layer":2},{"info":"⇑⪆-1043103303⇷⇑⪆-1311314=NaN","layer":1},{"info":"⇑⪆213100⩅⪻⪻=⇑⪆-233414000","layer":3},{"info":"⇑⪆-233414000⩏=⇑⪆0","layer":2},{"info":"⊗⇑⪆0=⇑⪆0","layer":1},{"info":"NaN⪔⊥⇑⪆0=NaN","layer":0}]}
{"id":209,"expression_no_base_symbol":"((⨦⪝$2037$)⪛⫼($2693$⫳≱↱$2792$))↞⋁(⊀$1173$⨔⇊$1947$)⫒⫫(($1005$⩺⪪$5285$)⨚⇆$1405$∌↝$1843$)⨚($1505$⫸⊐$4946$≬⋮($1006$⋐⇩⊬))","expression":"((⨦⪝⇑⪆31122)⪛⫼(⇑⪆41233⫳≱↱⇑⪆42132))↞⋁(⊀⇑⪆14143⨔⇊⇑⪆30242)⫒⫫((⇑⪆13010⩺⪪⇑⪆132120)⨚⇆⇑⪆21110∌↝⇑⪆24333)⨚(⇑⪆22010⫸⊐⇑⪆124241≬⋮(⇑⪆13011⋐⇩⊬))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13638,"operation_count":14,"complexity_ratio":974.1428571428571,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":2037,"base":5}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2693,"base":5},"right_expr":{"type":"numeric_atoms","value":2792,"base":5}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1173,"base":5},"right_expr":{"type":"numeric_atoms","value":1947,"base":5}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1005,"base":5},"right_expr":{"type":"numeric_atoms","value":5285,"base":5}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1405,"base":5},"right_expr":{"type":"numeric_atoms","value":1843,"base":5}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1505,"base":5},"right_expr":{"type":"numeric_atoms","value":4946,"base":5}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":1006,"base":5}}}}},"used_operators":["6Ko8hGgeMq","RqrPlJkxDo","hyuBjUqXlG","SUjycxNXIR","ZvLB05nZmT","oPMjh9089D","JclMnS0uGI","nREPSIbpBE","lwHaAYXP2r","uvdQJvN4PV","9Isq31Ruls","kbkesczE7y","mqXw5SEYmG","JuuLT1NoCs"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","BjRHVeLaeN","12rbrZMWeM","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2037","layer":4},{"info":"compute unary expreesion, input=2037, 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=2693","layer":4},{"info":"number node, value=2792","layer":4},{"info":"compute binary expreesion, left_input=2693, right_input=2792, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=-204, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1549","layer":2},{"info":"number node, value=1173","layer":4},{"info":"number node, value=1947","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=1947, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1947","layer":3},{"info":"compute unary expreesion, input=1947, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=7526","layer":2},{"info":"compute binary expreesion, left_input=-1549, right_input=7526, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=1005","layer":4},{"info":"number node, value=5285","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=5285, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=1405","layer":4},{"info":"number node, value=1843","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=1843, 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=-1818, right_input=0, 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=1505","layer":4},{"info":"number node, value=4946","layer":4},{"info":"compute binary expreesion, left_input=1505, right_input=4946, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19659","layer":3},{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=1006","layer":3},{"info":"compute binary expreesion, left_input=19659, right_input=1006, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⨦⪝⇑⪆31122)⪛⫼(⇑⪆41233⫳≱↱⇑⪆42132))↞⋁(⊀⇑⪆14143⨔⇊⇑⪆30242)⫒⫫((⇑⪆13010⩺⪪⇑⪆132120)⨚⇆⇑⪆21110∌↝⇑⪆24333)⨚(⇑⪆22010⫸⊐⇑⪆124241≬⋮(⇑⪆13011⋐⇩⊬))=NaN","reverse_text":"NaN=((⨦⪝⇑⪆31122)⪛⫼(⇑⪆41233⫳≱↱⇑⪆42132))↞⋁(⊀⇑⪆14143⨔⇊⇑⪆30242)⫒⫫((⇑⪆13010⩺⪪⇑⪆132120)⨚⇆⇑⪆21110∌↝⇑⪆24333)⨚(⇑⪆22010⫸⊐⇑⪆124241≬⋮(⇑⪆13011⋐⇩⊬))","cot":[{"info":"⨦⪝⇑⪆31122=⇑⪆-30014","layer":3},{"info":"⇑⪆41233⫳≱↱⇑⪆42132=⇑⪆-1304","layer":3},{"info":"⇑⪆-30014⪛⫼⇑⪆-1304=⇑⪆-22144","layer":2},{"info":"⇑⪆14143⨔⇊⇑⪆30242=⇑⪆30242","layer":3},{"info":"⊀⇑⪆30242=⇑⪆220101","layer":2},{"info":"⇑⪆-22144↞⋁⇑⪆220101=NaN","layer":1},{"info":"⇑⪆13010⩺⪪⇑⪆132120=⇑⪆-24233","layer":3},{"info":"⇑⪆21110∌↝⇑⪆24333=⇑⪆0","layer":3},{"info":"⇑⪆-24233⨚⇆⇑⪆0=NaN","layer":2},{"info":"⇑⪆22010⫸⊐⇑⪆124241=⇑⪆1112114","layer":3},{"info":"⇑⪆13011⋐⇩⊬=⇑⪆13011","layer":3},{"info":"⇑⪆1112114≬⋮⇑⪆13011=⇑⪆11433","layer":2},{"info":"NaN⨚⇑⪆11433=NaN","layer":1},{"info":"NaN⫒⫫NaN=NaN","layer":0}]}
{"id":210,"expression_no_base_symbol":"(⇙⪊($5458$⨴∎)↞⋁(⋂$1047$))⫁⪎((⊊≼∋$3279$)⇍⊗($1152$↱$5616$))⩖⊿(($5205$∼$1410$)⩍⋽⫝̸($3769$⊴$1625$))","expression":"(⇙⪊(⇑⪆133313⨴∎)↞⋁(⋂⇑⪆13142))⫁⪎((⊊≼∋⇑⪆101104)⇍⊗(⇑⪆14102↱⇑⪆134431))⩖⊿((⇑⪆131310∼⇑⪆21120)⩍⋽⫝̸(⇑⪆110034⊴⇑⪆23000))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":15878,"operation_count":12,"complexity_ratio":1323.1666666666667,"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":5458,"base":5}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1047,"base":5}}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":3279,"base":5}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1152,"base":5},"right_expr":{"type":"numeric_atoms","value":5616,"base":5}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5205,"base":5},"right_expr":{"type":"numeric_atoms","value":1410,"base":5}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3769,"base":5},"right_expr":{"type":"numeric_atoms","value":1625,"base":5}}}}},"used_operators":["xRrnTEsQ6j","pB6Fcnrjim","RqrPlJkxDo","CpSg5vQTgA","BUOGQAYlQx","RZ5CV9rWsJ","5uvYHDjeKN","FWz7pXsQhA","SR5kFfdi6N","BiWNJpBvwn","DyGG3AbaNP","Nsiff2A1zJ"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","B5M0gjZbta","jCPkEVoL5K","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","Ph9nP6C5qx","xUOZtlo3hN","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5458","layer":4},{"info":"compute unary expreesion, input=5458, 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=1047","layer":4},{"info":"compute unary expreesion, input=1047, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-14062","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-14062, 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 = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=3279","layer":4},{"info":"compute unary expreesion, input=3279, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=1152","layer":4},{"info":"number node, value=5616","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=5616, 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=-16326","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-16326, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=5205","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=5205, right_input=1410, 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=3769","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=3769, right_input=1625, 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 = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-244, 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=nan, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇙⪊(⇑⪆133313⨴∎)↞⋁(⋂⇑⪆13142))⫁⪎((⊊≼∋⇑⪆101104)⇍⊗(⇑⪆14102↱⇑⪆134431))⩖⊿((⇑⪆131310∼⇑⪆21120)⩍⋽⫝̸(⇑⪆110034⊴⇑⪆23000))=NaN","reverse_text":"NaN=(⇙⪊(⇑⪆133313⨴∎)↞⋁(⋂⇑⪆13142))⫁⪎((⊊≼∋⇑⪆101104)⇍⊗(⇑⪆14102↱⇑⪆134431))⩖⊿((⇑⪆131310∼⇑⪆21120)⩍⋽⫝̸(⇑⪆110034⊴⇑⪆23000))","cot":[{"info":"⇑⪆133313⨴∎=NaN","layer":3},{"info":"⋂⇑⪆13142=⇑⪆-422222","layer":3},{"info":"NaN↞⋁⇑⪆-422222=NaN","layer":2},{"info":"⇙⪊NaN=NaN","layer":1},{"info":"⊊≼∋⇑⪆101104=⇑⪆-3242","layer":3},{"info":"⇑⪆14102↱⇑⪆134431=⇑⪆-1010301","layer":3},{"info":"⇑⪆-3242⇍⊗⇑⪆-1010301=⇑⪆-1434","layer":2},{"info":"⇑⪆131310∼⇑⪆21120=NaN","layer":3},{"info":"⇑⪆110034⊴⇑⪆23000=NaN","layer":3},{"info":"NaN⩍⋽⫝̸NaN=NaN","layer":2},{"info":"⇑⪆-1434⩖⊿NaN=NaN","layer":1},{"info":"NaN⫁⪎NaN=NaN","layer":0}]}
{"id":211,"expression_no_base_symbol":"((⫟$3908$)⫌⩉⩟$1641$⩨$1354$)+⇶⊼(↥$4855$⨼⩣$6071$)⫃⨇$1750$⪥$1523$→⨶⪴($1714$∪⫐$1836$)∠↢(⨆≐≲(⊄⩳↩$4307$))","expression":"((⫟⇑⪆111113)⫌⩉⩟⇑⪆23031⩨⇑⪆20404)+⇶⊼(↥⇑⪆123410⨼⩣⇑⪆143241)⫃⨇⇑⪆24000⪥⇑⪆22043→⨶⪴(⇑⪆23324∪⫐⇑⪆24321)∠↢(⨆≐≲(⊄⩳↩⇑⪆114212))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1953,"operation_count":13,"complexity_ratio":150.23076923076923,"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":3908,"base":5}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1641,"base":5},"right_expr":{"type":"numeric_atoms","value":1354,"base":5}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4855,"base":5},"right_expr":{"type":"numeric_atoms","value":6071,"base":5}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1750,"base":5},"right_expr":{"type":"numeric_atoms","value":1523,"base":5}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1714,"base":5},"right_expr":{"type":"numeric_atoms","value":1836,"base":5}}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4307,"base":5}}}}},"used_operators":["09Ly4LVMIf","TpPTUOHfaN","XIIwhv8d0m","z4E1FaHLuy","2DlMacCsIx","A8NUZmVepG","JxwMv5le6e","KbjG8mgYpV","bF6eod5Gvf","QbnwKVWMIQ","7YooWSwCyH","Bi9z9uYZqW","8w2t5hMYqp"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","AHs5Up7iyr","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","8w2t5hMYqp","9FxExcQeMw","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rJVOvQCfKK","2DDjHMKMc0","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3908","layer":4},{"info":"compute unary expreesion, input=3908, 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=-10817","layer":3},{"info":"number node, value=1641","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=1641, right_input=1354, 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=-10817, right_input=0, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=4855","layer":4},{"info":"number node, value=6071","layer":4},{"info":"compute binary expreesion, left_input=4855, right_input=6071, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', 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=-50, 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=1750","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=1750, right_input=1523, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=11652","layer":3},{"info":"number node, value=1714","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=1714, right_input=1836, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1714","layer":3},{"info":"compute binary expreesion, left_input=11652, right_input=1714, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-5142","layer":2},{"info":"number node, value=4307","layer":4},{"info":"compute unary expreesion, input=4307, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12921","layer":3},{"info":"compute unary expreesion, input=-12921, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":2},{"info":"compute binary expreesion, left_input=-5142, right_input=-168548, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=2381322","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2381322, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⫟⇑⪆111113)⫌⩉⩟⇑⪆23031⩨⇑⪆20404)+⇶⊼(↥⇑⪆123410⨼⩣⇑⪆143241)⫃⨇⇑⪆24000⪥⇑⪆22043→⨶⪴(⇑⪆23324∪⫐⇑⪆24321)∠↢(⨆≐≲(⊄⩳↩⇑⪆114212))=NaN","reverse_text":"NaN=((⫟⇑⪆111113)⫌⩉⩟⇑⪆23031⩨⇑⪆20404)+⇶⊼(↥⇑⪆123410⨼⩣⇑⪆143241)⫃⨇⇑⪆24000⪥⇑⪆22043→⨶⪴(⇑⪆23324∪⫐⇑⪆24321)∠↢(⨆≐≲(⊄⩳↩⇑⪆114212))","cot":[{"info":"⫟⇑⪆111113=⇑⪆-321232","layer":3},{"info":"⇑⪆23031⩨⇑⪆20404=⇑⪆0","layer":3},{"info":"⇑⪆-321232⫌⩉⩟⇑⪆0=⇑⪆-200","layer":2},{"info":"⇑⪆123410⨼⩣⇑⪆143241=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"⇑⪆-200+⇶⊼NaN=NaN","layer":1},{"info":"⇑⪆24000⪥⇑⪆22043=⇑⪆333102","layer":3},{"info":"⇑⪆23324∪⫐⇑⪆24321=⇑⪆23324","layer":3},{"info":"⇑⪆333102→⨶⪴⇑⪆23324=⇑⪆-131032","layer":2},{"info":"⊄⩳↩⇑⪆114212=⇑⪆-403141","layer":3},{"info":"⨆≐≲⇑⪆-403141=⇑⪆-20343143","layer":2},{"info":"⇑⪆-131032∠↢⇑⪆-20343143=⇑⪆1102200242","layer":1},{"info":"NaN⫃⨇⇑⪆1102200242=NaN","layer":0}]}
{"id":212,"expression_no_base_symbol":"($2091$≧⫂∧$6886$⨑≵⋬$6803$⪎↠$4111$)⨸((-$2630$)⪔⊥($5645$⇚⪠))⩵∡(⊑(⨵($1057$⇐≅)))","expression":"(⇑⪆31331≧⫂∧⇑⪆210021⨑≵⋬⇑⪆204203⪎↠⇑⪆112421)⨸((-⇑⪆41010)⪔⊥(⇑⪆140040⇚⪠))⩵∡(⊑(⨵(⇑⪆13212⇐≅)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":38624,"operation_count":11,"complexity_ratio":3511.2727272727275,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2091,"base":5},"right_expr":{"type":"numeric_atoms","value":6886,"base":5}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":6803,"base":5},"right_expr":{"type":"numeric_atoms","value":4111,"base":5}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2630,"base":5}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":5645,"base":5}}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":1057,"base":5}}}}},"used_operators":["Y7wcNGrDQJ","KmoU8R5UQR","XnXgA4xnOs","Ph9nP6C5qx","3tVxb0NHM4","HJ9erzHUuu","t8gj7n24qd","Loh9y4A90B","IkUmn0D7oy","Tl3Y52tvF8","wEfv7U73WA"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI"],"result":"⇑⪆-13113400","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2091","layer":4},{"info":"number node, value=6886","layer":4},{"info":"compute binary expreesion, left_input=2091, right_input=6886, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6413","layer":3},{"info":"number node, value=6803","layer":4},{"info":"number node, value=4111","layer":4},{"info":"compute binary expreesion, left_input=6803, right_input=4111, 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=6413, right_input=160, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=32324","layer":2},{"info":"number node, value=2630","layer":4},{"info":"compute unary expreesion, input=2630, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2630","layer":3},{"info":"number node, value=5645","layer":4},{"info":"compute unary expreesion, input=5645, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=63732050","layer":3},{"info":"compute binary expreesion, left_input=-2630, right_input=63732050, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-127474819","layer":2},{"info":"compute binary expreesion, left_input=32324, right_input=-127474819, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=64648","layer":1},{"info":"number node, value=1057","layer":4},{"info":"compute unary expreesion, input=1057, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=3139","layer":3},{"info":"compute unary expreesion, input=3139, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-26321","layer":2},{"info":"compute unary expreesion, input=-26321, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=64648, right_input=192, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-129225","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆31331≧⫂∧⇑⪆210021⨑≵⋬⇑⪆204203⪎↠⇑⪆112421)⨸((-⇑⪆41010)⪔⊥(⇑⪆140040⇚⪠))⩵∡(⊑(⨵(⇑⪆13212⇐≅)))=⇑⪆-13113400","reverse_text":"⇑⪆-13113400=(⇑⪆31331≧⫂∧⇑⪆210021⨑≵⋬⇑⪆204203⪎↠⇑⪆112421)⨸((-⇑⪆41010)⪔⊥(⇑⪆140040⇚⪠))⩵∡(⊑(⨵(⇑⪆13212⇐≅)))","cot":[{"info":"⇑⪆31331≧⫂∧⇑⪆210021=⇑⪆201123","layer":3},{"info":"⇑⪆204203⪎↠⇑⪆112421=⇑⪆1120","layer":3},{"info":"⇑⪆201123⨑≵⋬⇑⪆1120=⇑⪆2013244","layer":2},{"info":"-⇑⪆41010=⇑⪆-41010","layer":3},{"info":"⇑⪆140040⇚⪠=⇑⪆112303411200","layer":3},{"info":"⇑⪆-41010⪔⊥⇑⪆112303411200=⇑⪆-230113143234","layer":2},{"info":"⇑⪆2013244⨸⇑⪆-230113143234=⇑⪆4032043","layer":1},{"info":"⇑⪆13212⇐≅=⇑⪆100024","layer":3},{"info":"⨵⇑⪆100024=⇑⪆-1320241","layer":2},{"info":"⊑⇑⪆-1320241=⇑⪆1232","layer":1},{"info":"⇑⪆4032043⩵∡⇑⪆1232=⇑⪆-13113400","layer":0}]}
{"id":213,"expression_no_base_symbol":"((⪫⨮⊛($2870$≦↸$5068$))+(⊲⪭(⫛⫱⨽$7417$)))⊲⩕⊾((∟⋨$5884$)⋣⋖($1232$⇆⨓≜))⫯⪬∳(($1042$⊔$6937$)⊝⪿⪼($1322$⨓$1398$))","expression":"((⪫⨮⊛(⇑⪆42440≦↸⇑⪆130233))+(⊲⪭(⫛⫱⨽⇑⪆214132)))⊲⩕⊾((∟⋨⇑⪆142014)⋣⋖(⇑⪆14412⇆⨓≜))⫯⪬∳((⇑⪆13132⊔⇑⪆210222)⊝⪿⪼(⇑⪆20242⨓⇑⪆21043))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":297723,"operation_count":13,"complexity_ratio":22901.76923076923,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2870,"base":5},"right_expr":{"type":"numeric_atoms","value":5068,"base":5}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":7417,"base":5}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":5884,"base":5}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1232,"base":5}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1042,"base":5},"right_expr":{"type":"numeric_atoms","value":6937,"base":5}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1322,"base":5},"right_expr":{"type":"numeric_atoms","value":1398,"base":5}}}}},"used_operators":["DmTXOeWf9t","W4YGzv6Whe","w5FWba1tyO","RygbFNSyEJ","k7HXdKtiEU","DlLNRPXxWL","d7ASUq0ydm","J0M6qkBnIM","ctOc4cKSDt","KvvgdUaMHJ","3Oe9XWJUTD","E4l6HwMY31","3ViojmjbAp"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","i8ToyICDmI","xUOZtlo3hN","rGHVDoGpnC","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","eLAdDNolq6","tmPS8pqC7x","Uaa54Peajs","KYD54nUTWz","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2870","layer":4},{"info":"number node, value=5068","layer":4},{"info":"compute binary expreesion, left_input=2870, right_input=5068, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-15195","layer":3},{"info":"compute unary expreesion, input=-15195, 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=7417","layer":4},{"info":"compute unary expreesion, input=7417, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-174, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5884","layer":4},{"info":"compute unary expreesion, input=5884, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-5400","layer":3},{"info":"number node, value=1232","layer":4},{"info":"compute unary expreesion, input=1232, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5400, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-5400","layer":2},{"info":"number node, value=1042","layer":4},{"info":"number node, value=6937","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=6937, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=34369","layer":3},{"info":"number node, value=1322","layer":4},{"info":"number node, value=1398","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=1398, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1401","layer":3},{"info":"compute binary expreesion, left_input=34369, right_input=-1401, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=459443","layer":2},{"info":"compute binary expreesion, left_input=-5400, right_input=459443, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=15727","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=15727, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⪫⨮⊛(⇑⪆42440≦↸⇑⪆130233))+(⊲⪭(⫛⫱⨽⇑⪆214132)))⊲⩕⊾((∟⋨⇑⪆142014)⋣⋖(⇑⪆14412⇆⨓≜))⫯⪬∳((⇑⪆13132⊔⇑⪆210222)⊝⪿⪼(⇑⪆20242⨓⇑⪆21043))=NaN","reverse_text":"NaN=((⪫⨮⊛(⇑⪆42440≦↸⇑⪆130233))+(⊲⪭(⫛⫱⨽⇑⪆214132)))⊲⩕⊾((∟⋨⇑⪆142014)⋣⋖(⇑⪆14412⇆⨓≜))⫯⪬∳((⇑⪆13132⊔⇑⪆210222)⊝⪿⪼(⇑⪆20242⨓⇑⪆21043))","cot":[{"info":"⇑⪆42440≦↸⇑⪆130233=⇑⪆-441240","layer":3},{"info":"⪫⨮⊛⇑⪆-441240=NaN","layer":2},{"info":"⫛⫱⨽⇑⪆214132=⇑⪆0","layer":3},{"info":"⊲⪭⇑⪆0=⇑⪆-1144","layer":2},{"info":"NaN+⇑⪆-1144=NaN","layer":1},{"info":"∟⋨⇑⪆142014=⇑⪆-133100","layer":3},{"info":"⇑⪆14412⇆⨓≜=NaN","layer":3},{"info":"⇑⪆-133100⋣⋖NaN=⇑⪆-133100","layer":2},{"info":"⇑⪆13132⊔⇑⪆210222=⇑⪆2044434","layer":3},{"info":"⇑⪆20242⨓⇑⪆21043=⇑⪆-21101","layer":3},{"info":"⇑⪆2044434⊝⪿⪼⇑⪆-21101=⇑⪆104200233","layer":2},{"info":"⇑⪆-133100⫯⪬∳⇑⪆104200233=⇑⪆1000402","layer":1},{"info":"NaN⊲⩕⊾⇑⪆1000402=NaN","layer":0}]}
{"id":214,"expression_no_base_symbol":"⨭⩧⫛(⋠∜($6992$⨰$6180$)∌$6262$⨽∌$3174$)","expression":"⨭⩧⫛(⋠∜(⇑⪆210432⨰⇑⪆144210)∌⇑⪆200022⨽∌⇑⪆100144)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":133,"operation_count":5,"complexity_ratio":26.6,"tree":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6992,"base":5},"right_expr":{"type":"numeric_atoms","value":6180,"base":5}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":6262,"base":5},"right_expr":{"type":"numeric_atoms","value":3174,"base":5}}}}},"used_operators":["g21JL6JxX7","ZJpFhNJr3x","8cLx32lpNA","eewbuw0ToL","9samAPKr6k"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6992","layer":4},{"info":"number node, value=6180","layer":4},{"info":"compute binary expreesion, left_input=6992, right_input=6180, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=822","layer":3},{"info":"number node, value=6262","layer":4},{"info":"number node, value=3174","layer":4},{"info":"compute binary expreesion, left_input=6262, right_input=3174, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=822, right_input=0, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=2284","layer":1},{"info":"compute unary expreesion, input=2284, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⨭⩧⫛(⋠∜(⇑⪆210432⨰⇑⪆144210)∌⇑⪆200022⨽∌⇑⪆100144)=NaN","reverse_text":"NaN=⨭⩧⫛(⋠∜(⇑⪆210432⨰⇑⪆144210)∌⇑⪆200022⨽∌⇑⪆100144)","cot":[{"info":"⇑⪆210432⨰⇑⪆144210=⇑⪆11242","layer":3},{"info":"⇑⪆200022⨽∌⇑⪆100144=⇑⪆0","layer":3},{"info":"⇑⪆11242∌⇑⪆0=⇑⪆0","layer":2},{"info":"⋠∜⇑⪆0=⇑⪆33114","layer":1},{"info":"⨭⩧⫛⇑⪆33114=NaN","layer":0}]}
{"id":215,"expression_no_base_symbol":"((↥≼⋛$3299$∊∟⩊$4925$)⫘($6852$⇼⇔∾$5832$)⫞⩸⩒(⨛$3547$))⪝((⊤⊝(⊬↢$1412$))≠≀($1966$∘$2181$≥⨤⩑(≑⋹$5402$)))","expression":"((↥≼⋛⇑⪆101144∊∟⩊⇑⪆124200)⫘(⇑⪆204402⇼⇔∾⇑⪆141312)⫞⩸⩒(⨛⇑⪆103142))⪝((⊤⊝(⊬↢⇑⪆21122))≠≀(⇑⪆30331∘⇑⪆32211≥⨤⩑(≑⋹⇑⪆133102)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2385,"operation_count":13,"complexity_ratio":183.46153846153845,"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":3299,"base":5},"right_expr":{"type":"numeric_atoms","value":4925,"base":5}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6852,"base":5},"right_expr":{"type":"numeric_atoms","value":5832,"base":5}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":3547,"base":5}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1412,"base":5}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1966,"base":5},"right_expr":{"type":"numeric_atoms","value":2181,"base":5}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":5402,"base":5}}}}},"used_operators":["wicAB68Tmb","48vC8HMD2b","x5lMkHmzsq","ddLRYrp01A","XGcMNugi78","tifHPKVTfV","CoMdbyAt7R","IwW236VD4Y","rXAclfmB4M","WPoGxAaPR1","gJLn6v0xnP","Z5m6OM72h2","6B9nyZLogK"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","sdazOOVcIp","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","eH2TOUuTDT","rysDP5nf3Z","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"⇑⪆-120220121","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3299","layer":4},{"info":"number node, value=4925","layer":4},{"info":"compute binary expreesion, left_input=3299, right_input=4925, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=4925","layer":3},{"info":"compute unary expreesion, input=4925, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":2},{"info":"number node, value=6852","layer":4},{"info":"number node, value=5832","layer":4},{"info":"compute binary expreesion, left_input=6852, right_input=5832, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1020","layer":3},{"info":"number node, value=3547","layer":4},{"info":"compute unary expreesion, input=3547, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1020, 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=-1020","layer":2},{"info":"compute binary expreesion, left_input=-113, right_input=-1020, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=140533","layer":1},{"info":"number node, value=1412","layer":4},{"info":"compute unary expreesion, input=1412, 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 = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-862","layer":2},{"info":"number node, value=1966","layer":4},{"info":"number node, value=2181","layer":4},{"info":"compute binary expreesion, left_input=1966, right_input=2181, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3932","layer":3},{"info":"number node, value=5402","layer":4},{"info":"compute unary expreesion, input=5402, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=3932, right_input=1650, 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=-862, right_input=1234, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=2030","layer":1},{"info":"compute binary expreesion, left_input=140533, right_input=2030, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-554411","layer":0}],"base":5,"result_base":5,"text":"((↥≼⋛⇑⪆101144∊∟⩊⇑⪆124200)⫘(⇑⪆204402⇼⇔∾⇑⪆141312)⫞⩸⩒(⨛⇑⪆103142))⪝((⊤⊝(⊬↢⇑⪆21122))≠≀(⇑⪆30331∘⇑⪆32211≥⨤⩑(≑⋹⇑⪆133102)))=⇑⪆-120220121","reverse_text":"⇑⪆-120220121=((↥≼⋛⇑⪆101144∊∟⩊⇑⪆124200)⫘(⇑⪆204402⇼⇔∾⇑⪆141312)⫞⩸⩒(⨛⇑⪆103142))⪝((⊤⊝(⊬↢⇑⪆21122))≠≀(⇑⪆30331∘⇑⪆32211≥⨤⩑(≑⋹⇑⪆133102)))","cot":[{"info":"⇑⪆101144∊∟⩊⇑⪆124200=⇑⪆124200","layer":3},{"info":"↥≼⋛⇑⪆124200=⇑⪆-423","layer":2},{"info":"⇑⪆204402⇼⇔∾⇑⪆141312=⇑⪆-13040","layer":3},{"info":"⨛⇑⪆103142=NaN","layer":3},{"info":"⇑⪆-13040⫞⩸⩒NaN=⇑⪆-13040","layer":2},{"info":"⇑⪆-423⫘⇑⪆-13040=⇑⪆13444113","layer":1},{"info":"⊬↢⇑⪆21122=⇑⪆1333","layer":3},{"info":"⊤⊝⇑⪆1333=⇑⪆-11422","layer":2},{"info":"⇑⪆30331∘⇑⪆32211=⇑⪆111212","layer":3},{"info":"≑⋹⇑⪆133102=⇑⪆23100","layer":3},{"info":"⇑⪆111212≥⨤⩑⇑⪆23100=⇑⪆14414","layer":2},{"info":"⇑⪆-11422≠≀⇑⪆14414=⇑⪆31110","layer":1},{"info":"⇑⪆13444113⪝⇑⪆31110=⇑⪆-120220121","layer":0}]}
{"id":216,"expression_no_base_symbol":"(($2429$⫌⩹⨱)⊝)≎⪠(⇠$1589$)≁↽≥($2278$⨲∙)⨳⩥⨓(($5190$⩱)⩷∴(≻⋜$3382$))⪛(($3206$⪠⩆⊳)⪥⨬⪅)","expression":"((⇑⪆34204⫌⩹⨱)⊝)≎⪠(⇠⇑⪆22324)≁↽≥(⇑⪆33103⨲∙)⨳⩥⨓((⇑⪆131230⩱)⩷∴(≻⋜⇑⪆102012))⪛((⇑⪆100311⪠⩆⊳)⪥⨬⪅)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":41308,"operation_count":13,"complexity_ratio":3177.5384615384614,"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":2429,"base":5}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1589,"base":5}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":2278,"base":5}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":5190,"base":5}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":3382,"base":5}}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3206,"base":5}}}}},"used_operators":["nCS4ZIUYfx","aNhz54LH3e","O6EZ0fifGK","EBcxylXtPf","ncHt1X6cMc","18saOjeKKm","cRahaglYVE","uFcxV4UQCh","9FxExcQeMw","uyq1hVkAcj","3tj9sqzovi","zNRQejTB5A","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","W4YGzv6Whe","rysDP5nf3Z","oWn0xqSxBt","3Oe9XWJUTD","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2429","layer":4},{"info":"compute unary expreesion, input=2429, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6259","layer":3},{"info":"compute unary expreesion, input=6259, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=6259","layer":2},{"info":"number node, value=1589","layer":4},{"info":"compute unary expreesion, input=1589, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1347","layer":3},{"info":"number node, value=2278","layer":4},{"info":"compute unary expreesion, input=2278, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=28934686","layer":3},{"info":"compute binary expreesion, left_input=-1347, right_input=28934686, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-10273","layer":2},{"info":"compute binary expreesion, left_input=6259, right_input=-10273, 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=5190","layer":4},{"info":"compute unary expreesion, input=5190, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-31390","layer":3},{"info":"number node, value=3382","layer":4},{"info":"compute unary expreesion, input=3382, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-31390, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=3206","layer":4},{"info":"compute unary expreesion, input=3206, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-341","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-341, 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=19558, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆34204⫌⩹⨱)⊝)≎⪠(⇠⇑⪆22324)≁↽≥(⇑⪆33103⨲∙)⨳⩥⨓((⇑⪆131230⩱)⩷∴(≻⋜⇑⪆102012))⪛((⇑⪆100311⪠⩆⊳)⪥⨬⪅)=NaN","reverse_text":"NaN=((⇑⪆34204⫌⩹⨱)⊝)≎⪠(⇠⇑⪆22324)≁↽≥(⇑⪆33103⨲∙)⨳⩥⨓((⇑⪆131230⩱)⩷∴(≻⋜⇑⪆102012))⪛((⇑⪆100311⪠⩆⊳)⪥⨬⪅)","cot":[{"info":"⇑⪆34204⫌⩹⨱=⇑⪆200014","layer":3},{"info":"⇑⪆200014⊝=⇑⪆200014","layer":2},{"info":"⇠⇑⪆22324=⇑⪆-20342","layer":3},{"info":"⇑⪆33103⨲∙=⇑⪆24401402221","layer":3},{"info":"⇑⪆-20342≁↽≥⇑⪆24401402221=⇑⪆-312043","layer":2},{"info":"⇑⪆200014≎⪠⇑⪆-312043=⇑⪆1111213","layer":1},{"info":"⇑⪆131230⩱=⇑⪆-2001030","layer":3},{"info":"≻⋜⇑⪆102012=NaN","layer":3},{"info":"⇑⪆-2001030⩷∴NaN=NaN","layer":2},{"info":"⇑⪆100311⪠⩆⊳=⇑⪆0","layer":3},{"info":"⇑⪆0⪥⨬⪅=⇑⪆-2331","layer":2},{"info":"NaN⪛⇑⪆-2331=NaN","layer":1},{"info":"⇑⪆1111213⨳⩥⨓NaN=NaN","layer":0}]}
{"id":217,"expression_no_base_symbol":"((($1022$⩘)⋕⪉⪜(∤$5564$))⨕⋳)⨭⪣(($1923$⨻⩈⩔$1469$)⇍⊗($1732$≚⊃≕$1341$))⩌⋺(($3926$-$5550$)⊢)","expression":"(((⇑⪆13042⩘)⋕⪉⪜(∤⇑⪆134224))⨕⋳)⨭⪣((⇑⪆30143⨻⩈⩔⇑⪆21334)⇍⊗(⇑⪆23412≚⊃≕⇑⪆20331))⩌⋺((⇑⪆111201-⇑⪆134200)⊢)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":799,"operation_count":11,"complexity_ratio":72.63636363636364,"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":1022,"base":5}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":5564,"base":5}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1923,"base":5},"right_expr":{"type":"numeric_atoms","value":1469,"base":5}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1732,"base":5},"right_expr":{"type":"numeric_atoms","value":1341,"base":5}}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3926,"base":5},"right_expr":{"type":"numeric_atoms","value":5550,"base":5}}}}},"used_operators":["kn8WO9XteQ","4X4GscPmMf","z6LnFrNh4i","wvHyciQT5X","k2HlF1dBQh","g7Hmc5v1ko","5uvYHDjeKN","nEsXyWgiOK","Bmrmz2XGnR","40aOVDgCDB","rysDP5nf3Z"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9ICcGScMcE","dfKe02y8D2","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","NTOWxs364D"],"result":"⇑⪆20234200","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1022","layer":4},{"info":"compute unary expreesion, input=1022, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"number node, value=5564","layer":4},{"info":"compute unary expreesion, input=5564, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=9, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute unary expreesion, input=2802, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=166204","layer":1},{"info":"number node, value=1923","layer":4},{"info":"number node, value=1469","layer":4},{"info":"compute binary expreesion, left_input=1923, right_input=1469, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=6983","layer":3},{"info":"number node, value=1732","layer":4},{"info":"number node, value=1341","layer":4},{"info":"compute binary expreesion, left_input=1732, right_input=1341, 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=6983, right_input=67, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=3926","layer":4},{"info":"number node, value=5550","layer":4},{"info":"compute binary expreesion, left_input=3926, right_input=5550, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1624","layer":3},{"info":"compute unary expreesion, input=-1624, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-1624","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=-1624, 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=1747","layer":1},{"info":"compute binary expreesion, left_input=166204, right_input=1747, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=164925","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆13042⩘)⋕⪉⪜(∤⇑⪆134224))⨕⋳)⨭⪣((⇑⪆30143⨻⩈⩔⇑⪆21334)⇍⊗(⇑⪆23412≚⊃≕⇑⪆20331))⩌⋺((⇑⪆111201-⇑⪆134200)⊢)=⇑⪆20234200","reverse_text":"⇑⪆20234200=(((⇑⪆13042⩘)⋕⪉⪜(∤⇑⪆134224))⨕⋳)⨭⪣((⇑⪆30143⨻⩈⩔⇑⪆21334)⇍⊗(⇑⪆23412≚⊃≕⇑⪆20331))⩌⋺((⇑⪆111201-⇑⪆134200)⊢)","cot":[{"info":"⇑⪆13042⩘=⇑⪆232","layer":3},{"info":"∤⇑⪆134224=⇑⪆14","layer":3},{"info":"⇑⪆232⋕⪉⪜⇑⪆14=⇑⪆42202","layer":2},{"info":"⇑⪆42202⨕⋳=⇑⪆20304304","layer":1},{"info":"⇑⪆30143⨻⩈⩔⇑⪆21334=⇑⪆210413","layer":3},{"info":"⇑⪆23412≚⊃≕⇑⪆20331=⇑⪆232","layer":3},{"info":"⇑⪆210413⇍⊗⇑⪆232=⇑⪆-1434","layer":2},{"info":"⇑⪆111201-⇑⪆134200=⇑⪆-22444","layer":3},{"info":"⇑⪆-22444⊢=⇑⪆-22444","layer":2},{"info":"⇑⪆-1434⩌⋺⇑⪆-22444=⇑⪆23442","layer":1},{"info":"⇑⪆20304304⨭⪣⇑⪆23442=⇑⪆20234200","layer":0}]}
{"id":218,"expression_no_base_symbol":"⋃($1132$∙⊟$5827$⊭↱($3447$∀⋜↑))↳∿⪆($4459$⩣⫁∢$2509$⨚($7432$⋾⨃∁$5301$))","expression":"⋃(⇑⪆14012∙⊟⇑⪆141302⊭↱(⇑⪆102242∀⋜↑))↳∿⪆(⇑⪆120314⩣⫁∢⇑⪆40014⨚(⇑⪆214212⋾⨃∁⇑⪆132201))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":22043966,"operation_count":8,"complexity_ratio":2755495.75,"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":1132,"base":5},"right_expr":{"type":"numeric_atoms","value":5827,"base":5}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":3447,"base":5}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":4459,"base":5},"right_expr":{"type":"numeric_atoms","value":2509,"base":5}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":7432,"base":5},"right_expr":{"type":"numeric_atoms","value":5301,"base":5}}}}},"used_operators":["3mBM5G4a3l","Cw4SuJJGHO","COABgblf1C","SxTAKzQCrw","KipPnG1M2J","nREPSIbpBE","JDUIKTTSIa","212REbPD9h"],"dependent_operators":["g55IO6H4Gj","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","BjRHVeLaeN","12rbrZMWeM","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1132","layer":4},{"info":"number node, value=5827","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=5827, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=24562","layer":3},{"info":"number node, value=3447","layer":4},{"info":"compute unary expreesion, input=3447, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=24562, right_input=-484, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-50087","layer":2},{"info":"number node, value=4459","layer":4},{"info":"number node, value=2509","layer":4},{"info":"compute binary expreesion, left_input=4459, right_input=2509, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-8757","layer":3},{"info":"number node, value=7432","layer":4},{"info":"number node, value=5301","layer":4},{"info":"compute binary expreesion, left_input=7432, right_input=5301, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=280942304","layer":3},{"info":"compute binary expreesion, left_input=-8757, right_input=280942304, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-1123785796","layer":2},{"info":"compute binary expreesion, left_input=-50087, right_input=-1123785796, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⋃(⇑⪆14012∙⊟⇑⪆141302⊭↱(⇑⪆102242∀⋜↑))↳∿⪆(⇑⪆120314⩣⫁∢⇑⪆40014⨚(⇑⪆214212⋾⨃∁⇑⪆132201))=NaN","reverse_text":"NaN=⋃(⇑⪆14012∙⊟⇑⪆141302⊭↱(⇑⪆102242∀⋜↑))↳∿⪆(⇑⪆120314⩣⫁∢⇑⪆40014⨚(⇑⪆214212⋾⨃∁⇑⪆132201))","cot":[{"info":"⇑⪆14012∙⊟⇑⪆141302=⇑⪆1241222","layer":3},{"info":"⇑⪆102242∀⋜↑=⇑⪆-3414","layer":3},{"info":"⇑⪆1241222⊭↱⇑⪆-3414=⇑⪆-3100322","layer":2},{"info":"⇑⪆120314⩣⫁∢⇑⪆40014=⇑⪆-240012","layer":3},{"info":"⇑⪆214212⋾⨃∁⇑⪆132201=⇑⪆1033410123204","layer":3},{"info":"⇑⪆-240012⨚⇑⪆1033410123204=⇑⪆-4300142121141","layer":2},{"info":"⇑⪆-3100322↳∿⪆⇑⪆-4300142121141=NaN","layer":1},{"info":"⋃NaN=NaN","layer":0}]}
{"id":219,"expression_no_base_symbol":"(↩($4794$⩺⪪$3161$)⫁⪎(⊈$4534$))⋷$4360$+⪬∐$2017$∇⊂⋱($2446$≀⫉$3273$)⪘⫢($5270$⇴∐$1243$≃$4501$⪭$3220$)","expression":"(↩(⇑⪆123134⩺⪪⇑⪆100121)⫁⪎(⊈⇑⪆121114))⋷⇑⪆114420+⪬∐⇑⪆31032∇⊂⋱(⇑⪆34241≀⫉⇑⪆101043)⪘⫢(⇑⪆132040⇴∐⇑⪆14433≃⇑⪆121001⪭⇑⪆100340)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":388,"operation_count":12,"complexity_ratio":32.333333333333336,"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":4794,"base":5},"right_expr":{"type":"numeric_atoms","value":3161,"base":5}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":4534,"base":5}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":4360,"base":5},"right_expr":{"type":"numeric_atoms","value":2017,"base":5}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2446,"base":5},"right_expr":{"type":"numeric_atoms","value":3273,"base":5}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":5270,"base":5},"right_expr":{"type":"numeric_atoms","value":1243,"base":5}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":4501,"base":5},"right_expr":{"type":"numeric_atoms","value":3220,"base":5}}}}},"used_operators":["23Mk6UjR3U","jLgFTUHLKL","xRrnTEsQ6j","uvdQJvN4PV","RHru8klgy8","oacrs7FA3X","nhYeJWJD5X","2GS7woTJqF","oZj3VtZNQx","YbVcJGFEVW","HnzytWxmAO","j9kHMeSvPp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","12rbrZMWeM","xUOZtlo3hN","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","COABgblf1C","xUOZtlo3hN"],"result":"⇑⪆-10420034","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4794","layer":4},{"info":"number node, value=3161","layer":4},{"info":"compute binary expreesion, left_input=4794, right_input=3161, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-27026","layer":3},{"info":"number node, value=4534","layer":4},{"info":"compute unary expreesion, input=4534, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-4708","layer":3},{"info":"compute binary expreesion, left_input=-27026, right_input=-4708, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-22318","layer":2},{"info":"compute unary expreesion, input=-22318, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=91892","layer":1},{"info":"number node, value=4360","layer":4},{"info":"number node, value=2017","layer":4},{"info":"compute binary expreesion, left_input=4360, right_input=2017, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-13080","layer":3},{"info":"number node, value=2446","layer":4},{"info":"number node, value=3273","layer":4},{"info":"compute binary expreesion, left_input=2446, right_input=3273, 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=-13080, right_input=2822, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-5644","layer":2},{"info":"number node, value=5270","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=5270, right_input=1243, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=4501","layer":4},{"info":"number node, value=3220","layer":4},{"info":"compute binary expreesion, left_input=4501, right_input=3220, 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 = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-120","layer":2},{"info":"compute binary expreesion, left_input=-5644, right_input=-120, 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":1},{"info":"compute binary expreesion, left_input=91892, right_input=-1, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-91894","layer":0}],"base":5,"result_base":5,"text":"(↩(⇑⪆123134⩺⪪⇑⪆100121)⫁⪎(⊈⇑⪆121114))⋷⇑⪆114420+⪬∐⇑⪆31032∇⊂⋱(⇑⪆34241≀⫉⇑⪆101043)⪘⫢(⇑⪆132040⇴∐⇑⪆14433≃⇑⪆121001⪭⇑⪆100340)=⇑⪆-10420034","reverse_text":"⇑⪆-10420034=(↩(⇑⪆123134⩺⪪⇑⪆100121)⫁⪎(⊈⇑⪆121114))⋷⇑⪆114420+⪬∐⇑⪆31032∇⊂⋱(⇑⪆34241≀⫉⇑⪆101043)⪘⫢(⇑⪆132040⇴∐⇑⪆14433≃⇑⪆121001⪭⇑⪆100340)","cot":[{"info":"⇑⪆123134⩺⪪⇑⪆100121=⇑⪆-1331101","layer":3},{"info":"⊈⇑⪆121114=⇑⪆-122313","layer":3},{"info":"⇑⪆-1331101⫁⪎⇑⪆-122313=⇑⪆-1203233","layer":2},{"info":"↩⇑⪆-1203233=⇑⪆10420032","layer":1},{"info":"⇑⪆114420+⪬∐⇑⪆31032=⇑⪆-404310","layer":3},{"info":"⇑⪆34241≀⫉⇑⪆101043=⇑⪆42242","layer":3},{"info":"⇑⪆-404310∇⊂⋱⇑⪆42242=⇑⪆-140034","layer":2},{"info":"⇑⪆132040⇴∐⇑⪆14433=NaN","layer":3},{"info":"⇑⪆121001⪭⇑⪆100340=⇑⪆10","layer":3},{"info":"NaN≃⇑⪆10=⇑⪆-440","layer":2},{"info":"⇑⪆-140034⪘⫢⇑⪆-440=⇑⪆-1","layer":1},{"info":"⇑⪆10420032⋷⇑⪆-1=⇑⪆-10420034","layer":0}]}
{"id":220,"expression_no_base_symbol":"((($2012$⫸⇳$1670$)⨔≚≋($7596$∷$3461$))∇⊂⋱($2198$⫒⫫$6054$⊭↱$2475$≁$1837$))⊊","expression":"(((⇑⪆31022⫸⇳⇑⪆23140)⨔≚≋(⇑⪆220341∷⇑⪆102321))∇⊂⋱(⇑⪆32243⫒⫫⇑⪆143204⊭↱⇑⪆34400≁⇑⪆24322))⊊","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":377,"operation_count":8,"complexity_ratio":47.125,"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":2012,"base":5},"right_expr":{"type":"numeric_atoms","value":1670,"base":5}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":7596,"base":5},"right_expr":{"type":"numeric_atoms","value":3461,"base":5}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2198,"base":5},"right_expr":{"type":"numeric_atoms","value":6054,"base":5}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2475,"base":5},"right_expr":{"type":"numeric_atoms","value":1837,"base":5}}}}},"used_operators":["W9R8I5fN5A","nhYeJWJD5X","Z57zeUYC9z","gx7XJ7hdpj","D3AQDKkPcf","COABgblf1C","6Ko8hGgeMq","8N2wDY1A35"],"dependent_operators":["DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2012","layer":4},{"info":"number node, value=1670","layer":4},{"info":"compute binary expreesion, left_input=2012, right_input=1670, 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=7596","layer":4},{"info":"number node, value=3461","layer":4},{"info":"compute binary expreesion, left_input=7596, right_input=3461, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3461","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3461, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-30448","layer":2},{"info":"number node, value=2198","layer":4},{"info":"number node, value=6054","layer":4},{"info":"compute binary expreesion, left_input=2198, right_input=6054, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=2475","layer":4},{"info":"number node, value=1837","layer":4},{"info":"compute binary expreesion, left_input=2475, right_input=1837, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=30887","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=30887, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-30448, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":5,"result_base":5,"text":"(((⇑⪆31022⫸⇳⇑⪆23140)⨔≚≋(⇑⪆220341∷⇑⪆102321))∇⊂⋱(⇑⪆32243⫒⫫⇑⪆143204⊭↱⇑⪆34400≁⇑⪆24322))⊊=NaN","reverse_text":"NaN=(((⇑⪆31022⫸⇳⇑⪆23140)⨔≚≋(⇑⪆220341∷⇑⪆102321))∇⊂⋱(⇑⪆32243⫒⫫⇑⪆143204⊭↱⇑⪆34400≁⇑⪆24322))⊊","cot":[{"info":"⇑⪆31022⫸⇳⇑⪆23140=⇑⪆0","layer":3},{"info":"⇑⪆220341∷⇑⪆102321=⇑⪆102321","layer":3},{"info":"⇑⪆0⨔≚≋⇑⪆102321=⇑⪆-1433243","layer":2},{"info":"⇑⪆32243⫒⫫⇑⪆143204=NaN","layer":3},{"info":"⇑⪆34400≁⇑⪆24322=⇑⪆1442022","layer":3},{"info":"NaN⊭↱⇑⪆1442022=NaN","layer":2},{"info":"⇑⪆-1433243∇⊂⋱NaN=NaN","layer":1},{"info":"NaN⊊=NaN","layer":0}]}
{"id":221,"expression_no_base_symbol":"(($1100$⨻⩈⩔$1675$)≨($2225$⋘⨑⨽)⊭↱(⊊≼∋($1008$∙∹∝$3604$)))→⨶⪴(($6664$⊜)⇔⨋)⩁⩘($4362$⪨⊡$3942$+$1444$↹⊜$3185$)","expression":"((⇑⪆13400⨻⩈⩔⇑⪆23200)≨(⇑⪆32400⋘⨑⨽)⊭↱(⊊≼∋(⇑⪆13013∙∹∝⇑⪆103404)))→⨶⪴((⇑⪆203124⊜)⇔⨋)⩁⩘(⇑⪆114422⪨⊡⇑⪆111232+⇑⪆21234↹⊜⇑⪆100220)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1990,"operation_count":13,"complexity_ratio":153.07692307692307,"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":1100,"base":5},"right_expr":{"type":"numeric_atoms","value":1675,"base":5}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":2225,"base":5}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1008,"base":5},"right_expr":{"type":"numeric_atoms","value":3604,"base":5}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":6664,"base":5}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4362,"base":5},"right_expr":{"type":"numeric_atoms","value":3942,"base":5}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1444,"base":5},"right_expr":{"type":"numeric_atoms","value":3185,"base":5}}}}},"used_operators":["bF6eod5Gvf","COABgblf1C","0KMCeP1Jsh","nEsXyWgiOK","WmT3o8z6ya","FWz7pXsQhA","HmxsFra2vL","gub5Cegaqo","uBihLCJcMX","Eev2Q7dYIw","W4YGzv6Whe","kuIXHzHcAH","9bazX3JMtO"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","B5M0gjZbta","jCPkEVoL5K","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","DpFCA1CohY","IWmyXbctLI","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"⇑⪆4443241","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1100","layer":4},{"info":"number node, value=1675","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=1675, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"number node, value=2225","layer":4},{"info":"compute unary expreesion, input=2225, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=11908","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=11908, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-70","layer":2},{"info":"number node, value=1008","layer":4},{"info":"number node, value=3604","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=3604, 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 = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-70, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=145","layer":1},{"info":"number node, value=6664","layer":4},{"info":"compute unary expreesion, input=6664, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-24920","layer":3},{"info":"compute unary expreesion, input=-24920, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=287","layer":2},{"info":"number node, value=4362","layer":4},{"info":"number node, value=3942","layer":4},{"info":"compute binary expreesion, left_input=4362, right_input=3942, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1444","layer":4},{"info":"number node, value=3185","layer":4},{"info":"compute binary expreesion, left_input=1444, right_input=3185, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-9948","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-9948, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-9948","layer":2},{"info":"compute binary expreesion, left_input=287, right_input=-9948, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-38844","layer":1},{"info":"compute binary expreesion, left_input=145, right_input=-38844, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=77946","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆13400⨻⩈⩔⇑⪆23200)≨(⇑⪆32400⋘⨑⨽)⊭↱(⊊≼∋(⇑⪆13013∙∹∝⇑⪆103404)))→⨶⪴((⇑⪆203124⊜)⇔⨋)⩁⩘(⇑⪆114422⪨⊡⇑⪆111232+⇑⪆21234↹⊜⇑⪆100220)=⇑⪆4443241","reverse_text":"⇑⪆4443241=((⇑⪆13400⨻⩈⩔⇑⪆23200)≨(⇑⪆32400⋘⨑⨽)⊭↱(⊊≼∋(⇑⪆13013∙∹∝⇑⪆103404)))→⨶⪴((⇑⪆203124⊜)⇔⨋)⩁⩘(⇑⪆114422⪨⊡⇑⪆111232+⇑⪆21234↹⊜⇑⪆100220)","cot":[{"info":"⇑⪆13400⨻⩈⩔⇑⪆23200=⇑⪆-1144","layer":3},{"info":"⇑⪆32400⋘⨑⨽=⇑⪆340113","layer":3},{"info":"⇑⪆-1144≨⇑⪆340113=⇑⪆-240","layer":2},{"info":"⇑⪆13013∙∹∝⇑⪆103404=⇑⪆0","layer":3},{"info":"⊊≼∋⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆-240⊭↱⇑⪆0=⇑⪆1040","layer":1},{"info":"⇑⪆203124⊜=⇑⪆-1244140","layer":3},{"info":"⇑⪆-1244140⇔⨋=⇑⪆2122","layer":2},{"info":"⇑⪆114422⪨⊡⇑⪆111232=⇑⪆0","layer":3},{"info":"⇑⪆21234↹⊜⇑⪆100220=⇑⪆-304243","layer":3},{"info":"⇑⪆0+⇑⪆-304243=⇑⪆-304243","layer":2},{"info":"⇑⪆2122⩁⩘⇑⪆-304243=⇑⪆-2220334","layer":1},{"info":"⇑⪆1040→⨶⪴⇑⪆-2220334=⇑⪆4443241","layer":0}]}
{"id":222,"expression_no_base_symbol":"(($1007$⪁$1017$)⩒⫫$1013$⫣⪄⊒$1821$⊍⩺⋍$1647$⨪↰⇹$3727$⪒$3253$⪪$5285$)≀⫉(≻⋜($1059$⨐$1658$⪮%⊝($1789$∕⩚$1431$)))","expression":"((⇑⪆13012⪁⇑⪆13032)⩒⫫⇑⪆13023⫣⪄⊒⇑⪆24241⊍⩺⋍⇑⪆23042⨪↰⇹⇑⪆104402⪒⇑⪆101003⪪⇑⪆132120)≀⫉(≻⋜(⇑⪆13214⨐⇑⪆23113⪮%⊝(⇑⪆24124∕⩚⇑⪆21211)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14095100,"operation_count":12,"complexity_ratio":1174591.6666666667,"tree":{"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":5},"right_expr":{"type":"numeric_atoms","value":1017,"base":5}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1013,"base":5},"right_expr":{"type":"numeric_atoms","value":1821,"base":5}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1647,"base":5},"right_expr":{"type":"numeric_atoms","value":3727,"base":5}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":3253,"base":5},"right_expr":{"type":"numeric_atoms","value":5285,"base":5}}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1059,"base":5},"right_expr":{"type":"numeric_atoms","value":1658,"base":5}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1789,"base":5},"right_expr":{"type":"numeric_atoms","value":1431,"base":5}}}}},"used_operators":["oZj3VtZNQx","OXDGMFPWZM","KFSx94NKJn","I7sXao9hZE","RabNbG55vr","f6k1SAg4EE","tmPS8pqC7x","xD69zh8xqp","3tj9sqzovi","IWmyXbctLI","Noe24qw2ks","z9ffQ9n5Zr"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","FU0Cs4j7VP","JclMnS0uGI","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1007","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=1017, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1013","layer":4},{"info":"number node, value=1821","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=1821, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-9412","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9412, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"number node, value=1647","layer":4},{"info":"number node, value=3727","layer":4},{"info":"compute binary expreesion, left_input=1647, right_input=3727, 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=1647","layer":3},{"info":"number node, value=3253","layer":4},{"info":"number node, value=5285","layer":4},{"info":"compute binary expreesion, left_input=3253, right_input=5285, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-487292","layer":3},{"info":"compute binary expreesion, left_input=1647, right_input=-487292, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=485645","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=485645, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=1059","layer":4},{"info":"number node, value=1658","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=1658, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2118","layer":3},{"info":"number node, value=1789","layer":4},{"info":"number node, value=1431","layer":4},{"info":"compute binary expreesion, left_input=1789, right_input=1431, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1792","layer":3},{"info":"compute binary expreesion, left_input=-2118, right_input=-1792, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-3920","layer":2},{"info":"compute unary expreesion, input=-3920, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆13012⪁⇑⪆13032)⩒⫫⇑⪆13023⫣⪄⊒⇑⪆24241⊍⩺⋍⇑⪆23042⨪↰⇹⇑⪆104402⪒⇑⪆101003⪪⇑⪆132120)≀⫉(≻⋜(⇑⪆13214⨐⇑⪆23113⪮%⊝(⇑⪆24124∕⩚⇑⪆21211)))=NaN","reverse_text":"NaN=((⇑⪆13012⪁⇑⪆13032)⩒⫫⇑⪆13023⫣⪄⊒⇑⪆24241⊍⩺⋍⇑⪆23042⨪↰⇹⇑⪆104402⪒⇑⪆101003⪪⇑⪆132120)≀⫉(≻⋜(⇑⪆13214⨐⇑⪆23113⪮%⊝(⇑⪆24124∕⩚⇑⪆21211)))","cot":[{"info":"⇑⪆13012⪁⇑⪆13032=NaN","layer":3},{"info":"⇑⪆13023⫣⪄⊒⇑⪆24241=⇑⪆-300122","layer":3},{"info":"NaN⩒⫫⇑⪆-300122=NaN","layer":2},{"info":"⇑⪆23042⨪↰⇹⇑⪆104402=⇑⪆23042","layer":3},{"info":"⇑⪆101003⪪⇑⪆132120=⇑⪆-111043132","layer":3},{"info":"⇑⪆23042⪒⇑⪆-111043132=⇑⪆111020040","layer":2},{"info":"NaN⊍⩺⋍⇑⪆111020040=NaN","layer":1},{"info":"⇑⪆13214⨐⇑⪆23113=⇑⪆-31433","layer":3},{"info":"⇑⪆24124∕⩚⇑⪆21211=⇑⪆-24132","layer":3},{"info":"⇑⪆-31433⪮%⊝⇑⪆-24132=⇑⪆-111140","layer":2},{"info":"≻⋜⇑⪆-111140=NaN","layer":1},{"info":"NaN≀⫉NaN=NaN","layer":0}]}
{"id":223,"expression_no_base_symbol":"(($1560$∙∹∝$1842$)⪚($4720$⪹)⇌⫙⪟(⩰$4096$↬$4910$))⪒⊣⊆((↯⪼($3996$↼⊘⨖$4922$))⊢)","expression":"((⇑⪆22220∙∹∝⇑⪆24332)⪚(⇑⪆122340⪹)⇌⫙⪟(⩰⇑⪆112341↬⇑⪆124120))⪒⊣⊆((↯⪼(⇑⪆111441↼⊘⨖⇑⪆124142))⊢)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":113,"operation_count":10,"complexity_ratio":11.3,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1560,"base":5},"right_expr":{"type":"numeric_atoms","value":1842,"base":5}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":4720,"base":5}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4096,"base":5},"right_expr":{"type":"numeric_atoms","value":4910,"base":5}}}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3996,"base":5},"right_expr":{"type":"numeric_atoms","value":4922,"base":5}}}}},"used_operators":["eRqsBgTDFp","AFVx7xoS7T","HrjLwUk87U","HmxsFra2vL","B3sABdIn96","WkeUrDK8WX","B5M0gjZbta","40aOVDgCDB","8jW3W4yZS5","bPywburJMS"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","rGHVDoGpnC","NTOWxs364D","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1560","layer":4},{"info":"number node, value=1842","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=1842, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=4720","layer":4},{"info":"compute unary expreesion, input=4720, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=13932","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=13932, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-28220","layer":2},{"info":"number node, value=4096","layer":4},{"info":"number node, value=4910","layer":4},{"info":"compute binary expreesion, left_input=4096, right_input=4910, 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 = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-28220, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":1},{"info":"number node, value=3996","layer":4},{"info":"number node, value=4922","layer":4},{"info":"compute binary expreesion, left_input=3996, right_input=4922, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=9622","layer":3},{"info":"compute unary expreesion, input=9622, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆22220∙∹∝⇑⪆24332)⪚(⇑⪆122340⪹)⇌⫙⪟(⩰⇑⪆112341↬⇑⪆124120))⪒⊣⊆((↯⪼(⇑⪆111441↼⊘⨖⇑⪆124142))⊢)=NaN","reverse_text":"NaN=((⇑⪆22220∙∹∝⇑⪆24332)⪚(⇑⪆122340⪹)⇌⫙⪟(⩰⇑⪆112341↬⇑⪆124120))⪒⊣⊆((↯⪼(⇑⪆111441↼⊘⨖⇑⪆124142))⊢)","cot":[{"info":"⇑⪆22220∙∹∝⇑⪆24332=⇑⪆0","layer":3},{"info":"⇑⪆122340⪹=⇑⪆421212","layer":3},{"info":"⇑⪆0⪚⇑⪆421212=⇑⪆-1400340","layer":2},{"info":"⇑⪆112341↬⇑⪆124120=NaN","layer":3},{"info":"⩰NaN=NaN","layer":2},{"info":"⇑⪆-1400340⇌⫙⪟NaN=NaN","layer":1},{"info":"⇑⪆111441↼⊘⨖⇑⪆124142=⇑⪆301442","layer":3},{"info":"↯⪼⇑⪆301442=⇑⪆-41","layer":2},{"info":"⇑⪆-41⊢=⇑⪆-41","layer":1},{"info":"NaN⪒⊣⊆⇑⪆-41=NaN","layer":0}]}
{"id":224,"expression_no_base_symbol":"⨝⨆(⨰⫟⨤($6930$∝$2652$))⪟⇏(⪝⪂⫅$7117$⫁$4021$)","expression":"⨝⨆(⨰⫟⨤(⇑⪆210210∝⇑⪆41102))⪟⇏(⪝⪂⫅⇑⪆211432⫁⇑⪆112041)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":27187,"operation_count":6,"complexity_ratio":4531.166666666667,"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":6930,"base":5},"right_expr":{"type":"numeric_atoms","value":2652,"base":5}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":7117,"base":5},"right_expr":{"type":"numeric_atoms","value":4021,"base":5}}}}},"used_operators":["bQ67fsrMVf","GODebY97qR","Tw270M8GLb","cTDWOvIxvz","XTarYq4gQB","0ajvFaJAv0"],"dependent_operators":["tifHPKVTfV","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","cHh1gJQ2o6","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6930","layer":4},{"info":"number node, value=2652","layer":4},{"info":"compute binary expreesion, left_input=6930, right_input=2652, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=6935","layer":3},{"info":"compute unary expreesion, input=6935, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=7117","layer":4},{"info":"number node, value=4021","layer":4},{"info":"compute binary expreesion, left_input=7117, right_input=4021, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-23520","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-23520, 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 unary expreesion, input=nan, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⨝⨆(⨰⫟⨤(⇑⪆210210∝⇑⪆41102))⪟⇏(⪝⪂⫅⇑⪆211432⫁⇑⪆112041)=NaN","reverse_text":"NaN=⨝⨆(⨰⫟⨤(⇑⪆210210∝⇑⪆41102))⪟⇏(⪝⪂⫅⇑⪆211432⫁⇑⪆112041)","cot":[{"info":"⇑⪆210210∝⇑⪆41102=⇑⪆210220","layer":3},{"info":"⨰⫟⨤⇑⪆210220=NaN","layer":2},{"info":"⇑⪆211432⫁⇑⪆112041=⇑⪆1120","layer":3},{"info":"⪝⪂⫅⇑⪆1120=⇑⪆-1223040","layer":2},{"info":"NaN⪟⇏⇑⪆-1223040=NaN","layer":1},{"info":"⨝⨆NaN=NaN","layer":0}]}
{"id":225,"expression_no_base_symbol":"∥⊫(⨈⫕$2207$⋾⨃∁$6627$↺$2205$⨜⨶$2780$)","expression":"∥⊫(⨈⫕⇑⪆32312⋾⨃∁⇑⪆203002↺⇑⪆32310⨜⨶⇑⪆42110)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":7073,"operation_count":5,"complexity_ratio":1414.6,"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":2207,"base":5},"right_expr":{"type":"numeric_atoms","value":6627,"base":5}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2205,"base":5},"right_expr":{"type":"numeric_atoms","value":2780,"base":5}}}}},"used_operators":["P8v4zCKN1o","megm06wKyl","7j4O788W3g","212REbPD9h","HiPekx5b7W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⇑⪆11342","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2207","layer":4},{"info":"number node, value=6627","layer":4},{"info":"compute binary expreesion, left_input=2207, right_input=6627, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=439091672","layer":3},{"info":"number node, value=2205","layer":4},{"info":"number node, value=2780","layer":4},{"info":"compute binary expreesion, left_input=2205, right_input=2780, 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=-5304","layer":3},{"info":"compute binary expreesion, left_input=439091672, right_input=-5304, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-5304","layer":2},{"info":"compute unary expreesion, input=-5304, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=847","layer":0}],"base":5,"result_base":5,"text":"∥⊫(⨈⫕⇑⪆32312⋾⨃∁⇑⪆203002↺⇑⪆32310⨜⨶⇑⪆42110)=⇑⪆11342","reverse_text":"⇑⪆11342=∥⊫(⨈⫕⇑⪆32312⋾⨃∁⇑⪆203002↺⇑⪆32310⨜⨶⇑⪆42110)","cot":[{"info":"⇑⪆32312⋾⨃∁⇑⪆203002=⇑⪆1344401413142","layer":3},{"info":"⇑⪆32310⨜⨶⇑⪆42110=⇑⪆-132204","layer":3},{"info":"⇑⪆1344401413142↺⇑⪆-132204=⇑⪆-132204","layer":2},{"info":"⨈⫕⇑⪆-132204=⇑⪆-41","layer":1},{"info":"∥⊫⇑⪆-41=⇑⪆11342","layer":0}]}
{"id":226,"expression_no_base_symbol":"(↴⪽⋼($1897$≀⫉$1305$)+⪬∐($5167$↼⊘⨖$4906$))≝⊿(($4452$∠⫱$2014$)⫢⨠($2481$⪁$5153$)⨔≚≋(⇋⊎⋝($1011$⨰$4023$)))","expression":"(↴⪽⋼(⇑⪆30042≀⫉⇑⪆20210)+⪬∐(⇑⪆131132↼⊘⨖⇑⪆124111))≝⊿((⇑⪆120302∠⫱⇑⪆31024)⫢⨠(⇑⪆34411⪁⇑⪆131103)⨔≚≋(⇋⊎⋝(⇑⪆13021⨰⇑⪆112043)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":273865346,"operation_count":11,"complexity_ratio":24896849.636363637,"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":1897,"base":5},"right_expr":{"type":"numeric_atoms","value":1305,"base":5}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":5167,"base":5},"right_expr":{"type":"numeric_atoms","value":4906,"base":5}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4452,"base":5},"right_expr":{"type":"numeric_atoms","value":2014,"base":5}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2481,"base":5},"right_expr":{"type":"numeric_atoms","value":5153,"base":5}}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1011,"base":5},"right_expr":{"type":"numeric_atoms","value":4023,"base":5}}}}},"used_operators":["OKKcZfAt5B","5TUYCnJO6w","2GS7woTJqF","oZj3VtZNQx","bPywburJMS","Z57zeUYC9z","xlXykHWxX1","QvoQhV0rrE","I7sXao9hZE","CzM2PEoXns","eewbuw0ToL"],"dependent_operators":["12rbrZMWeM","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1897","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=1897, right_input=1305, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=5167","layer":4},{"info":"number node, value=4906","layer":4},{"info":"compute binary expreesion, left_input=5167, right_input=4906, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=9590","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=9590, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-8466","layer":2},{"info":"compute unary expreesion, input=-8466, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=35822","layer":1},{"info":"number node, value=4452","layer":4},{"info":"number node, value=2014","layer":4},{"info":"compute binary expreesion, left_input=4452, right_input=2014, 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=2481","layer":4},{"info":"number node, value=5153","layer":4},{"info":"compute binary expreesion, left_input=2481, right_input=5153, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=1011","layer":4},{"info":"number node, value=4023","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=4023, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3002","layer":3},{"info":"compute unary expreesion, input=-3002, 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 = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=35822, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(↴⪽⋼(⇑⪆30042≀⫉⇑⪆20210)+⪬∐(⇑⪆131132↼⊘⨖⇑⪆124111))≝⊿((⇑⪆120302∠⫱⇑⪆31024)⫢⨠(⇑⪆34411⪁⇑⪆131103)⨔≚≋(⇋⊎⋝(⇑⪆13021⨰⇑⪆112043)))=NaN","reverse_text":"NaN=(↴⪽⋼(⇑⪆30042≀⫉⇑⪆20210)+⪬∐(⇑⪆131132↼⊘⨖⇑⪆124111))≝⊿((⇑⪆120302∠⫱⇑⪆31024)⫢⨠(⇑⪆34411⪁⇑⪆131103)⨔≚≋(⇋⊎⋝(⇑⪆13021⨰⇑⪆112043)))","cot":[{"info":"⇑⪆30042≀⫉⇑⪆20210=⇑⪆42242","layer":3},{"info":"⇑⪆131132↼⊘⨖⇑⪆124111=⇑⪆301330","layer":3},{"info":"⇑⪆42242+⪬∐⇑⪆301330=⇑⪆-232331","layer":2},{"info":"↴⪽⋼⇑⪆-232331=⇑⪆2121242","layer":1},{"info":"⇑⪆120302∠⫱⇑⪆31024=⇑⪆14414","layer":3},{"info":"⇑⪆34411⪁⇑⪆131103=NaN","layer":3},{"info":"⇑⪆14414⫢⨠NaN=NaN","layer":2},{"info":"⇑⪆13021⨰⇑⪆112043=⇑⪆-44002","layer":3},{"info":"⇋⊎⋝⇑⪆-44002=NaN","layer":2},{"info":"NaN⨔≚≋NaN=NaN","layer":1},{"info":"⇑⪆2121242≝⊿NaN=NaN","layer":0}]}
{"id":227,"expression_no_base_symbol":"⫇((($3509$≬⋮$1139$)⊴⇁⪶)≬⇓(⊖∈$7660$⪛$1675$))","expression":"⫇(((⇑⪆103014≬⋮⇑⪆14024)⊴⇁⪶)≬⇓(⊖∈⇑⪆221120⪛⇑⪆23200))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1109,"operation_count":6,"complexity_ratio":184.83333333333334,"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":3509,"base":5},"right_expr":{"type":"numeric_atoms","value":1139,"base":5}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7660,"base":5},"right_expr":{"type":"numeric_atoms","value":1675,"base":5}}}}},"used_operators":["YjI8oCXuph","jWTQ2TZYIH","oo9mF6JIpo","kbkesczE7y","YFxL8Sc2Zy","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⇑⪆12144","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3509","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=3509, right_input=1139, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, 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=11418","layer":2},{"info":"number node, value=7660","layer":4},{"info":"number node, value=1675","layer":4},{"info":"compute binary expreesion, left_input=7660, right_input=1675, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=960","layer":3},{"info":"compute unary expreesion, input=960, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=13606","layer":2},{"info":"compute binary expreesion, left_input=11418, right_input=13606, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"compute unary expreesion, input=-22, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=924","layer":0}],"base":5,"result_base":5,"text":"⫇(((⇑⪆103014≬⋮⇑⪆14024)⊴⇁⪶)≬⇓(⊖∈⇑⪆221120⪛⇑⪆23200))=⇑⪆12144","reverse_text":"⇑⪆12144=⫇(((⇑⪆103014≬⋮⇑⪆14024)⊴⇁⪶)≬⇓(⊖∈⇑⪆221120⪛⇑⪆23200))","cot":[{"info":"⇑⪆103014≬⋮⇑⪆14024=⇑⪆11433","layer":3},{"info":"⇑⪆11433⊴⇁⪶=⇑⪆331133","layer":2},{"info":"⇑⪆221120⪛⇑⪆23200=⇑⪆12320","layer":3},{"info":"⊖∈⇑⪆12320=⇑⪆413411","layer":2},{"info":"⇑⪆331133≬⇓⇑⪆413411=⇑⪆-42","layer":1},{"info":"⫇⇑⪆-42=⇑⪆12144","layer":0}]}
{"id":228,"expression_no_base_symbol":"⊥(⊙↵-(⊬↢($2877$↺$5924$)))","expression":"⊥(⊙↵-(⊬↢(⇑⪆43002↺⇑⪆142144)))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6223,"operation_count":4,"complexity_ratio":1555.75,"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":2877,"base":5},"right_expr":{"type":"numeric_atoms","value":5924,"base":5}}}}},"used_operators":["Q3PJZHRvZv","oWn0xqSxBt","WPoGxAaPR1","7j4O788W3g"],"dependent_operators":["fu6greOZ01","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=2877","layer":4},{"info":"number node, value=5924","layer":4},{"info":"compute binary expreesion, left_input=2877, right_input=5924, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5924","layer":3},{"info":"compute unary expreesion, input=5924, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":2},{"info":"compute unary expreesion, input=218, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":0}],"base":5,"result_base":5,"text":"⊥(⊙↵-(⊬↢(⇑⪆43002↺⇑⪆142144)))=⇑⪆0","reverse_text":"⇑⪆0=⊥(⊙↵-(⊬↢(⇑⪆43002↺⇑⪆142144)))","cot":[{"info":"⇑⪆43002↺⇑⪆142144=⇑⪆142144","layer":3},{"info":"⊬↢⇑⪆142144=⇑⪆1333","layer":2},{"info":"⊙↵-⇑⪆1333=⇑⪆0","layer":1},{"info":"⊥⇑⪆0=⇑⪆0","layer":0}]}
{"id":229,"expression_no_base_symbol":"≯(($3090$⪨≂$3127$)∋$1162$↞⋁$4332$⩢≌)","expression":"≯((⇑⪆44330⪨≂⇑⪆100002)∋⇑⪆14122↞⋁⇑⪆114312⩢≌)","highest_n_order":5,"priority_hierarchical_complexity":4,"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":3090,"base":5},"right_expr":{"type":"numeric_atoms","value":3127,"base":5}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1162,"base":5},"right_expr":{"type":"numeric_atoms","value":4332,"base":5}}}}},"used_operators":["keWfFq85dY","D617RFjZIq","ukq6epAj5P","sdazOOVcIp","RqrPlJkxDo"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","hTbEZDJLEm","o20kRiQErp","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","rysDP5nf3Z","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=3090","layer":4},{"info":"number node, value=3127","layer":4},{"info":"compute binary expreesion, left_input=3090, right_input=3127, 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=28","layer":3},{"info":"number node, value=1162","layer":4},{"info":"number node, value=4332","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=4332, 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=28, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-54736","layer":2},{"info":"compute unary expreesion, input=-54736, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":1},{"info":"compute unary expreesion, input=113, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":0}],"base":5,"result_base":5,"text":"≯((⇑⪆44330⪨≂⇑⪆100002)∋⇑⪆14122↞⋁⇑⪆114312⩢≌)=⇑⪆0","reverse_text":"⇑⪆0=≯((⇑⪆44330⪨≂⇑⪆100002)∋⇑⪆14122↞⋁⇑⪆114312⩢≌)","cot":[{"info":"⇑⪆44330⪨≂⇑⪆100002=⇑⪆103","layer":3},{"info":"⇑⪆14122↞⋁⇑⪆114312=NaN","layer":3},{"info":"⇑⪆103∋NaN=⇑⪆-3222421","layer":2},{"info":"⇑⪆-3222421⩢≌=⇑⪆423","layer":1},{"info":"≯⇑⪆423=⇑⪆0","layer":0}]}
{"id":230,"expression_no_base_symbol":"(∂(⋗⩬⋾$3883$↤⩊$1057$))⪔((⨭⩧⫛($3558$⊝⪿⪼$6567$))⩷∴(↓⇌(∮$1464$)))","expression":"(∂(⋗⩬⋾⇑⪆111013↤⩊⇑⪆13212))⪔((⨭⩧⫛(⇑⪆103213⊝⪿⪼⇑⪆202232))⩷∴(↓⇌(∮⇑⪆21324)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1826,"operation_count":9,"complexity_ratio":202.88888888888889,"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":3883,"base":5},"right_expr":{"type":"numeric_atoms","value":1057,"base":5}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3558,"base":5},"right_expr":{"type":"numeric_atoms","value":6567,"base":5}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1464,"base":5}}}}},"used_operators":["GjBEYRfMaF","Uaa54Peajs","DpFCA1CohY","13rbtpv6ld","9FxExcQeMw","g21JL6JxX7","3Oe9XWJUTD","PxpmPgHHJV","CqXKPLVYql"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3883","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=3883, right_input=1057, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , 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=3558","layer":4},{"info":"number node, value=6567","layer":4},{"info":"compute binary expreesion, left_input=3558, right_input=6567, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=63302","layer":3},{"info":"compute unary expreesion, input=63302, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"number node, value=1464","layer":4},{"info":"compute unary expreesion, input=1464, 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 = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(∂(⋗⩬⋾⇑⪆111013↤⩊⇑⪆13212))⪔((⨭⩧⫛(⇑⪆103213⊝⪿⪼⇑⪆202232))⩷∴(↓⇌(∮⇑⪆21324)))=NaN","reverse_text":"NaN=(∂(⋗⩬⋾⇑⪆111013↤⩊⇑⪆13212))⪔((⨭⩧⫛(⇑⪆103213⊝⪿⪼⇑⪆202232))⩷∴(↓⇌(∮⇑⪆21324)))","cot":[{"info":"⇑⪆111013↤⩊⇑⪆13212=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⇑⪆103213⊝⪿⪼⇑⪆202232=⇑⪆4011202","layer":3},{"info":"⨭⩧⫛⇑⪆4011202=NaN","layer":2},{"info":"∮⇑⪆21324=⇑⪆232","layer":3},{"info":"↓⇌⇑⪆232=⇑⪆232","layer":2},{"info":"NaN⩷∴⇑⪆232=NaN","layer":1},{"info":"NaN⪔NaN=NaN","layer":0}]}
{"id":231,"expression_no_base_symbol":"(($1282$∊∟⩊$1173$⇷$1005$⪛$3445$)⫞⩸⩒($1741$≨$2926$⋾⨃∁($7463$↺$1914$)))⇂≾⫗(($1082$⩖⊿$1680$∝(⫯$5263$))⩺⋐⫨)","expression":"((⇑⪆20112∊∟⩊⇑⪆14143⇷⇑⪆13010⪛⇑⪆102240)⫞⩸⩒(⇑⪆23431≨⇑⪆43201⋾⨃∁(⇑⪆214323↺⇑⪆30124)))⇂≾⫗((⇑⪆13312⩖⊿⇑⪆23210∝(⫯⇑⪆132023))⩺⋐⫨)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17260,"operation_count":12,"complexity_ratio":1438.3333333333333,"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":1282,"base":5},"right_expr":{"type":"numeric_atoms","value":1173,"base":5}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1005,"base":5},"right_expr":{"type":"numeric_atoms","value":3445,"base":5}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1741,"base":5},"right_expr":{"type":"numeric_atoms","value":2926,"base":5}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7463,"base":5},"right_expr":{"type":"numeric_atoms","value":1914,"base":5}}}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1082,"base":5},"right_expr":{"type":"numeric_atoms","value":1680,"base":5}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":5263,"base":5}}}}},"used_operators":["aBQ6xLxuTc","XGcMNugi78","mp7IySMOzn","ddLRYrp01A","uFcxV4UQCh","212REbPD9h","0KMCeP1Jsh","7j4O788W3g","yS9ePUuUdn","cTDWOvIxvz","RZ5CV9rWsJ","H6BK1Evt7c"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","7j4O788W3g","W4YGzv6Whe","COABgblf1C","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe"],"result":"⇑⪆-10113","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1282","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=1173, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1173","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=3445","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=3445, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1005","layer":3},{"info":"compute binary expreesion, left_input=1173, right_input=1005, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2010","layer":2},{"info":"number node, value=1741","layer":4},{"info":"number node, value=2926","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=2926, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-14934","layer":3},{"info":"number node, value=7463","layer":4},{"info":"number node, value=1914","layer":4},{"info":"compute binary expreesion, left_input=7463, right_input=1914, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1914","layer":3},{"info":"compute binary expreesion, left_input=-14934, right_input=1914, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=2010, 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=160","layer":1},{"info":"number node, value=1082","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=1680, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=9030","layer":3},{"info":"number node, value=5263","layer":4},{"info":"compute unary expreesion, input=5263, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-206258","layer":3},{"info":"compute binary expreesion, left_input=9030, right_input=-206258, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=9035","layer":2},{"info":"compute unary expreesion, input=9035, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-658","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆20112∊∟⩊⇑⪆14143⇷⇑⪆13010⪛⇑⪆102240)⫞⩸⩒(⇑⪆23431≨⇑⪆43201⋾⨃∁(⇑⪆214323↺⇑⪆30124)))⇂≾⫗((⇑⪆13312⩖⊿⇑⪆23210∝(⫯⇑⪆132023))⩺⋐⫨)=⇑⪆-10113","reverse_text":"⇑⪆-10113=((⇑⪆20112∊∟⩊⇑⪆14143⇷⇑⪆13010⪛⇑⪆102240)⫞⩸⩒(⇑⪆23431≨⇑⪆43201⋾⨃∁(⇑⪆214323↺⇑⪆30124)))⇂≾⫗((⇑⪆13312⩖⊿⇑⪆23210∝(⫯⇑⪆132023))⩺⋐⫨)","cot":[{"info":"⇑⪆20112∊∟⩊⇑⪆14143=⇑⪆14143","layer":3},{"info":"⇑⪆13010⪛⇑⪆102240=⇑⪆13010","layer":3},{"info":"⇑⪆14143⇷⇑⪆13010=⇑⪆31020","layer":2},{"info":"⇑⪆23431≨⇑⪆43201=⇑⪆-434214","layer":3},{"info":"⇑⪆214323↺⇑⪆30124=⇑⪆30124","layer":3},{"info":"⇑⪆-434214⋾⨃∁⇑⪆30124=⇑⪆1120","layer":2},{"info":"⇑⪆31020⫞⩸⩒⇑⪆1120=⇑⪆1120","layer":1},{"info":"⇑⪆13312⩖⊿⇑⪆23210=⇑⪆242110","layer":3},{"info":"⫯⇑⪆132023=⇑⪆-23100013","layer":3},{"info":"⇑⪆242110∝⇑⪆-23100013=⇑⪆242120","layer":2},{"info":"⇑⪆242120⩺⋐⫨=⇑⪆0","layer":1},{"info":"⇑⪆1120⇂≾⫗⇑⪆0=⇑⪆-10113","layer":0}]}
{"id":232,"expression_no_base_symbol":"(↸⊣($7482$≴⪞⇿$2752$⪇≇⋚(⊁⨺$2323$)))⫸⇳(($2166$⋐⇩⊬)⊉≛↸(⊢≑≆$3886$))≚⊃≕(⨝⨆$7708$)⨼⩣(∡$5288$)","expression":"(↸⊣(⇑⪆214412≴⪞⇿⇑⪆42002⪇≇⋚(⊁⨺⇑⪆33243)))⫸⇳((⇑⪆32131⋐⇩⊬)⊉≛↸(⊢≑≆⇑⪆111021))≚⊃≕(⨝⨆⇑⪆221313)⨼⩣(∡⇑⪆132123)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23571,"operation_count":12,"complexity_ratio":1964.25,"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":7482,"base":5},"right_expr":{"type":"numeric_atoms","value":2752,"base":5}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":2323,"base":5}}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":2166,"base":5}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":3886,"base":5}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":7708,"base":5}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":5288,"base":5}}}}},"used_operators":["gx7XJ7hdpj","wztAlM01eG","3sJ7IOPOlU","lvlrscuwVU","PxiHyQbrIp","Bmrmz2XGnR","DZ8iAZOCBD","JuuLT1NoCs","27wFxooxGf","JxwMv5le6e","bQ67fsrMVf","pRsWfj4Fpp"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","tifHPKVTfV","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7482","layer":4},{"info":"number node, value=2752","layer":4},{"info":"compute binary expreesion, left_input=7482, right_input=2752, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=103939596","layer":3},{"info":"number node, value=2323","layer":4},{"info":"compute unary expreesion, input=2323, 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=103939596, right_input=160, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=0","layer":1},{"info":"number node, value=2166","layer":4},{"info":"compute unary expreesion, input=2166, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=2166","layer":3},{"info":"number node, value=3886","layer":4},{"info":"compute unary expreesion, input=3886, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=15996","layer":3},{"info":"compute binary expreesion, left_input=2166, right_input=15996, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4332","layer":2},{"info":"number node, value=7708","layer":4},{"info":"compute unary expreesion, input=7708, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=7499","layer":3},{"info":"number node, value=5288","layer":4},{"info":"compute unary expreesion, input=5288, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-5288","layer":3},{"info":"compute binary expreesion, left_input=7499, right_input=-5288, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4332, 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=-20722","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-20722, 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":5,"result_base":5,"text":"(↸⊣(⇑⪆214412≴⪞⇿⇑⪆42002⪇≇⋚(⊁⨺⇑⪆33243)))⫸⇳((⇑⪆32131⋐⇩⊬)⊉≛↸(⊢≑≆⇑⪆111021))≚⊃≕(⨝⨆⇑⪆221313)⨼⩣(∡⇑⪆132123)=⇑⪆0","reverse_text":"⇑⪆0=(↸⊣(⇑⪆214412≴⪞⇿⇑⪆42002⪇≇⋚(⊁⨺⇑⪆33243)))⫸⇳((⇑⪆32131⋐⇩⊬)⊉≛↸(⊢≑≆⇑⪆111021))≚⊃≕(⨝⨆⇑⪆221313)⨼⩣(∡⇑⪆132123)","cot":[{"info":"⇑⪆214412≴⪞⇿⇑⪆42002=⇑⪆203102031341","layer":3},{"info":"⊁⨺⇑⪆33243=⇑⪆1120","layer":3},{"info":"⇑⪆203102031341⪇≇⋚⇑⪆1120=⇑⪆0","layer":2},{"info":"↸⊣⇑⪆0=⇑⪆0","layer":1},{"info":"⇑⪆32131⋐⇩⊬=⇑⪆32131","layer":3},{"info":"⊢≑≆⇑⪆111021=⇑⪆1002441","layer":3},{"info":"⇑⪆32131⊉≛↸⇑⪆1002441=⇑⪆114312","layer":2},{"info":"⨝⨆⇑⪆221313=⇑⪆214444","layer":3},{"info":"∡⇑⪆132123=⇑⪆-132123","layer":3},{"info":"⇑⪆214444⨼⩣⇑⪆-132123=NaN","layer":2},{"info":"⇑⪆114312≚⊃≕NaN=⇑⪆-1130342","layer":1},{"info":"⇑⪆0⫸⇳⇑⪆-1130342=⇑⪆0","layer":0}]}
{"id":233,"expression_no_base_symbol":"(⨣⨃⇪((⊁⨺$2590$)⇣⩺⋵($3345$⨎$2732$)))⩣⫁∢($3845$⪢$1215$≳⇉$1555$⨟⋌⩍$5926$)↳≱($1696$⩷∴$3323$⪛⫼($1050$⪨≂$2272$))","expression":"(⨣⨃⇪((⊁⨺⇑⪆40330)⇣⩺⋵(⇑⪆101340⨎⇑⪆41412)))⩣⫁∢(⇑⪆110340⪢⇑⪆14330≳⇉⇑⪆22210⨟⋌⩍⇑⪆142201)↳≱(⇑⪆23241⩷∴⇑⪆101243⪛⫼(⇑⪆13200⪨≂⇑⪆33042))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2682,"operation_count":12,"complexity_ratio":223.5,"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":2590,"base":5}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3345,"base":5},"right_expr":{"type":"numeric_atoms","value":2732,"base":5}}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3845,"base":5},"right_expr":{"type":"numeric_atoms","value":1215,"base":5}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1555,"base":5},"right_expr":{"type":"numeric_atoms","value":5926,"base":5}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1696,"base":5},"right_expr":{"type":"numeric_atoms","value":3323,"base":5}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1050,"base":5},"right_expr":{"type":"numeric_atoms","value":2272,"base":5}}}}},"used_operators":["JDUIKTTSIa","AcOhelriW5","F4yD0voBRQ","PxiHyQbrIp","rJVOvQCfKK","JwTKLfZU96","V0kx6qeWkN","dWAJyo7jo9","rGHVDoGpnC","hyuBjUqXlG","9FxExcQeMw","sdazOOVcIp"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","k8jYdgA6NY","Tcnh7f0tEr","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⇑⪆-41044","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2590","layer":4},{"info":"compute unary expreesion, input=2590, 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=3345","layer":4},{"info":"number node, value=2732","layer":4},{"info":"compute binary expreesion, left_input=3345, right_input=2732, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2732","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2732, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-4762","layer":2},{"info":"compute unary expreesion, input=-4762, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"number node, value=3845","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=3845, right_input=1215, 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=1555","layer":4},{"info":"number node, value=5926","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=5926, 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=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":2},{"info":"number node, value=1696","layer":4},{"info":"number node, value=3323","layer":4},{"info":"compute binary expreesion, left_input=1696, right_input=3323, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3286","layer":3},{"info":"number node, value=1050","layer":4},{"info":"number node, value=2272","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=2272, 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=-2342","layer":3},{"info":"compute binary expreesion, left_input=-3286, right_input=-2342, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1465","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1465, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1405, right_input=0, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2649","layer":0}],"base":5,"result_base":5,"text":"(⨣⨃⇪((⊁⨺⇑⪆40330)⇣⩺⋵(⇑⪆101340⨎⇑⪆41412)))⩣⫁∢(⇑⪆110340⪢⇑⪆14330≳⇉⇑⪆22210⨟⋌⩍⇑⪆142201)↳≱(⇑⪆23241⩷∴⇑⪆101243⪛⫼(⇑⪆13200⪨≂⇑⪆33042))=⇑⪆-41044","reverse_text":"⇑⪆-41044=(⨣⨃⇪((⊁⨺⇑⪆40330)⇣⩺⋵(⇑⪆101340⨎⇑⪆41412)))⩣⫁∢(⇑⪆110340⪢⇑⪆14330≳⇉⇑⪆22210⨟⋌⩍⇑⪆142201)↳≱(⇑⪆23241⩷∴⇑⪆101243⪛⫼(⇑⪆13200⪨≂⇑⪆33042))","cot":[{"info":"⊁⨺⇑⪆40330=⇑⪆1120","layer":3},{"info":"⇑⪆101340⨎⇑⪆41412=⇑⪆41412","layer":3},{"info":"⇑⪆1120⇣⩺⋵⇑⪆41412=⇑⪆-123022","layer":2},{"info":"⨣⨃⇪⇑⪆-123022=⇑⪆21110","layer":1},{"info":"⇑⪆110340⪢⇑⪆14330=NaN","layer":3},{"info":"⇑⪆22210⨟⋌⩍⇑⪆142201=NaN","layer":3},{"info":"NaN≳⇉NaN=NaN","layer":2},{"info":"⇑⪆23241⩷∴⇑⪆101243=⇑⪆-101121","layer":3},{"info":"⇑⪆13200⪨≂⇑⪆33042=⇑⪆-33332","layer":3},{"info":"⇑⪆-101121⪛⫼⇑⪆-33332=⇑⪆-21330","layer":2},{"info":"NaN↳≱⇑⪆-21330=⇑⪆0","layer":1},{"info":"⇑⪆21110⩣⫁∢⇑⪆0=⇑⪆-41044","layer":0}]}
{"id":234,"expression_no_base_symbol":"(($8659$∕⩚$1240$)⋣⋖($4256$⨹)∸)⫁⪎((≛$3469$)⊱⇼⊻($2629$∀⊥⇻))≦↸(($3468$∪⫐$4031$)*$5135$⩒⫫$2240$)","expression":"((⇑⪆234114∕⩚⇑⪆14430)⋣⋖(⇑⪆114011⨹)∸)⫁⪎((≛⇑⪆102334)⊱⇼⊻(⇑⪆41004∀⊥⇻))≦↸((⇑⪆102333∪⫐⇑⪆112111)*⇑⪆131020⩒⫫⇑⪆32430)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15655,"operation_count":12,"complexity_ratio":1304.5833333333333,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":8659,"base":5},"right_expr":{"type":"numeric_atoms","value":1240,"base":5}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":4256,"base":5}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":3469,"base":5}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":2629,"base":5}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3468,"base":5},"right_expr":{"type":"numeric_atoms","value":4031,"base":5}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":5135,"base":5},"right_expr":{"type":"numeric_atoms","value":2240,"base":5}}}}},"used_operators":["xRrnTEsQ6j","o20kRiQErp","J0M6qkBnIM","z9ffQ9n5Zr","UnCoSGIALn","RygbFNSyEJ","FyVja0WsTP","W7eaUhjymW","k4iM1060OG","9HNa5Wba9A","7YooWSwCyH","KFSx94NKJn"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","tmPS8pqC7x","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","mp7IySMOzn","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","W4YGzv6Whe","rJVOvQCfKK","2DDjHMKMc0","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"⇑⪆32040323313","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8659","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=8659, right_input=1240, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-8662","layer":3},{"info":"number node, value=4256","layer":4},{"info":"compute unary expreesion, input=4256, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=8512","layer":3},{"info":"compute binary expreesion, left_input=-8662, right_input=8512, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-8662","layer":2},{"info":"compute unary expreesion, input=-8662, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=3469","layer":4},{"info":"compute unary expreesion, input=3469, 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=2629","layer":4},{"info":"compute unary expreesion, input=2629, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=0, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=2762","layer":2},{"info":"number node, value=3468","layer":4},{"info":"number node, value=4031","layer":4},{"info":"compute binary expreesion, left_input=3468, right_input=4031, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3468","layer":3},{"info":"number node, value=5135","layer":4},{"info":"number node, value=2240","layer":4},{"info":"compute binary expreesion, left_input=5135, right_input=2240, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4833","layer":3},{"info":"compute binary expreesion, left_input=3468, right_input=4833, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=16760844","layer":2},{"info":"compute binary expreesion, left_input=2762, right_input=16760844, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-33526531","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=-33526531, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=33526708","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆234114∕⩚⇑⪆14430)⋣⋖(⇑⪆114011⨹)∸)⫁⪎((≛⇑⪆102334)⊱⇼⊻(⇑⪆41004∀⊥⇻))≦↸((⇑⪆102333∪⫐⇑⪆112111)*⇑⪆131020⩒⫫⇑⪆32430)=⇑⪆32040323313","reverse_text":"⇑⪆32040323313=((⇑⪆234114∕⩚⇑⪆14430)⋣⋖(⇑⪆114011⨹)∸)⫁⪎((≛⇑⪆102334)⊱⇼⊻(⇑⪆41004∀⊥⇻))≦↸((⇑⪆102333∪⫐⇑⪆112111)*⇑⪆131020⩒⫫⇑⪆32430)","cot":[{"info":"⇑⪆234114∕⩚⇑⪆14430=⇑⪆-234122","layer":3},{"info":"⇑⪆114011⨹=⇑⪆233022","layer":3},{"info":"⇑⪆-234122⋣⋖⇑⪆233022=⇑⪆-234122","layer":2},{"info":"⇑⪆-234122∸=⇑⪆1202","layer":1},{"info":"≛⇑⪆102334=⇑⪆-20","layer":3},{"info":"⇑⪆41004∀⊥⇻=⇑⪆0","layer":3},{"info":"⇑⪆-20⊱⇼⊻⇑⪆0=⇑⪆42022","layer":2},{"info":"⇑⪆102333∪⫐⇑⪆112111=⇑⪆102333","layer":3},{"info":"⇑⪆131020⩒⫫⇑⪆32430=⇑⪆123313","layer":3},{"info":"⇑⪆102333*⇑⪆123313=⇑⪆13242321334","layer":2},{"info":"⇑⪆42022≦↸⇑⪆13242321334=⇑⪆-32040322111","layer":1},{"info":"⇑⪆1202⫁⪎⇑⪆-32040322111=⇑⪆32040323313","layer":0}]}
{"id":235,"expression_no_base_symbol":"⊬↢(($1565$⪒⊣⊆$1525$⩠)⊨(($2175$⋩≍≻)⫥∨⫟$2848$→⨶⪴$1315$))","expression":"⊬↢((⇑⪆22230⪒⊣⊆⇑⪆22100⩠)⊨((⇑⪆32200⋩≍≻)⫥∨⫟⇑⪆42343→⨶⪴⇑⪆20230))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":244,"operation_count":7,"complexity_ratio":34.857142857142854,"tree":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1565,"base":5},"right_expr":{"type":"numeric_atoms","value":1525,"base":5}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":2175,"base":5}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2848,"base":5},"right_expr":{"type":"numeric_atoms","value":1315,"base":5}}}}},"used_operators":["WPoGxAaPR1","vg4gO5BX6G","sJAwomhLZr","eRqsBgTDFp","KYD54nUTWz","WYd1w68Nbz","bF6eod5Gvf"],"dependent_operators":["XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","8w2t5hMYqp","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1565","layer":4},{"info":"number node, value=1525","layer":4},{"info":"compute binary expreesion, left_input=1565, right_input=1525, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3130","layer":3},{"info":"compute unary expreesion, input=3130, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"number node, value=2175","layer":4},{"info":"compute unary expreesion, input=2175, 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=2848","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=2848, right_input=1315, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3945","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=-3945, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, 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 = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⊬↢((⇑⪆22230⪒⊣⊆⇑⪆22100⩠)⊨((⇑⪆32200⋩≍≻)⫥∨⫟⇑⪆42343→⨶⪴⇑⪆20230))=NaN","reverse_text":"NaN=⊬↢((⇑⪆22230⪒⊣⊆⇑⪆22100⩠)⊨((⇑⪆32200⋩≍≻)⫥∨⫟⇑⪆42343→⨶⪴⇑⪆20230))","cot":[{"info":"⇑⪆22230⪒⊣⊆⇑⪆22100=⇑⪆100010","layer":3},{"info":"⇑⪆100010⩠=⇑⪆0","layer":2},{"info":"⇑⪆32200⋩≍≻=⇑⪆-210","layer":3},{"info":"⇑⪆42343→⨶⪴⇑⪆20230=⇑⪆-111240","layer":3},{"info":"⇑⪆-210⫥∨⫟⇑⪆-111240=NaN","layer":2},{"info":"⇑⪆0⊨NaN=NaN","layer":1},{"info":"⊬↢NaN=NaN","layer":0}]}
{"id":236,"expression_no_base_symbol":"((⫓⪴$2604$)∌↝($5148$⨑≵⋬$7815$))⋕⪉⪜(⫓⪴$3086$⪟⇏$1841$)⊊","expression":"((⫓⪴⇑⪆40404)∌↝(⇑⪆131043⨑≵⋬⇑⪆222230))⋕⪉⪜(⫓⪴⇑⪆44321⪟⇏⇑⪆24331)⊊","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2922,"operation_count":7,"complexity_ratio":417.42857142857144,"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":2604,"base":5}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":5148,"base":5},"right_expr":{"type":"numeric_atoms","value":7815,"base":5}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3086,"base":5},"right_expr":{"type":"numeric_atoms","value":1841,"base":5}}}}},"used_operators":["W9R8I5fN5A","z6LnFrNh4i","9Isq31Ruls","eLxqMNBOBk","XnXgA4xnOs","GODebY97qR"],"dependent_operators":["DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9HNa5Wba9A","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"⇑⪆10402202","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2604","layer":4},{"info":"compute unary expreesion, input=2604, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=6780816","layer":3},{"info":"number node, value=5148","layer":4},{"info":"number node, value=7815","layer":4},{"info":"compute binary expreesion, left_input=5148, right_input=7815, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-27586","layer":3},{"info":"compute binary expreesion, left_input=6780816, right_input=-27586, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=13561632","layer":2},{"info":"number node, value=3086","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=3086, right_input=1841, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1","layer":2},{"info":"compute binary expreesion, left_input=13561632, right_input=1, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"compute unary expreesion, input=2802, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":0}],"base":5,"result_base":5,"text":"((⫓⪴⇑⪆40404)∌↝(⇑⪆131043⨑≵⋬⇑⪆222230))⋕⪉⪜(⫓⪴⇑⪆44321⪟⇏⇑⪆24331)⊊=⇑⪆10402202","reverse_text":"⇑⪆10402202=((⫓⪴⇑⪆40404)∌↝(⇑⪆131043⨑≵⋬⇑⪆222230))⋕⪉⪜(⫓⪴⇑⪆44321⪟⇏⇑⪆24331)⊊","cot":[{"info":"⫓⪴⇑⪆40404=⇑⪆3213441231","layer":3},{"info":"⇑⪆131043⨑≵⋬⇑⪆222230=⇑⪆-1340321","layer":3},{"info":"⇑⪆3213441231∌↝⇑⪆-1340321=⇑⪆11432433012","layer":2},{"info":"⇑⪆44321⪟⇏⇑⪆24331=⇑⪆-1","layer":3},{"info":"⫓⪴⇑⪆-1=⇑⪆1","layer":2},{"info":"⇑⪆11432433012⋕⪉⪜⇑⪆1=⇑⪆42202","layer":1},{"info":"⇑⪆42202⊊=⇑⪆10402202","layer":0}]}
{"id":237,"expression_no_base_symbol":"≱⇩⩕($3819$⩦$3327$≴⪞⇿($1618$⨜⨶$1007$)⫦⪉($3536$≝⊿$1882$)⋕⪉⪜(⋂$2638$))","expression":"≱⇩⩕(⇑⪆110234⩦⇑⪆101302≴⪞⇿(⇑⪆22433⨜⨶⇑⪆13012)⫦⪉(⇑⪆103121≝⊿⇑⪆30012)⋕⪉⪜(⋂⇑⪆41023))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7555,"operation_count":8,"complexity_ratio":944.375,"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":3819,"base":5},"right_expr":{"type":"numeric_atoms","value":3327,"base":5}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1618,"base":5},"right_expr":{"type":"numeric_atoms","value":1007,"base":5}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":3536,"base":5},"right_expr":{"type":"numeric_atoms","value":1882,"base":5}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":2638,"base":5}}}}},"used_operators":["3DZMoQKiUl","wscyQdcy20","lvlrscuwVU","0kmYd0q39Y","HiPekx5b7W","z6LnFrNh4i","OKKcZfAt5B","BUOGQAYlQx"],"dependent_operators":["AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","12rbrZMWeM","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C"],"result":"⇑⪆11102213114300","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3819","layer":4},{"info":"number node, value=3327","layer":4},{"info":"compute binary expreesion, left_input=3819, right_input=3327, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=7638","layer":3},{"info":"number node, value=1618","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=1618, right_input=1007, 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=-1758","layer":3},{"info":"compute binary expreesion, left_input=7638, right_input=-1758, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=108465885","layer":2},{"info":"number node, value=3536","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=3536, right_input=1882, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-7833","layer":3},{"info":"number node, value=2638","layer":4},{"info":"compute unary expreesion, input=2638, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-36336","layer":3},{"info":"compute binary expreesion, left_input=-7833, right_input=-36336, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=108465885, right_input=2802, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-216926870","layer":1},{"info":"compute unary expreesion, input=-216926870, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=1518488700","layer":0}],"base":5,"result_base":5,"text":"≱⇩⩕(⇑⪆110234⩦⇑⪆101302≴⪞⇿(⇑⪆22433⨜⨶⇑⪆13012)⫦⪉(⇑⪆103121≝⊿⇑⪆30012)⋕⪉⪜(⋂⇑⪆41023))=⇑⪆11102213114300","reverse_text":"⇑⪆11102213114300=≱⇩⩕(⇑⪆110234⩦⇑⪆101302≴⪞⇿(⇑⪆22433⨜⨶⇑⪆13012)⫦⪉(⇑⪆103121≝⊿⇑⪆30012)⋕⪉⪜(⋂⇑⪆41023))","cot":[{"info":"⇑⪆110234⩦⇑⪆101302=⇑⪆221023","layer":3},{"info":"⇑⪆22433⨜⨶⇑⪆13012=⇑⪆-24013","layer":3},{"info":"⇑⪆221023≴⪞⇿⇑⪆-24013=⇑⪆210231402020","layer":2},{"info":"⇑⪆103121≝⊿⇑⪆30012=⇑⪆-222313","layer":3},{"info":"⋂⇑⪆41023=⇑⪆-2130321","layer":3},{"info":"⇑⪆-222313⋕⪉⪜⇑⪆-2130321=⇑⪆42202","layer":2},{"info":"⇑⪆210231402020⫦⪉⇑⪆42202=⇑⪆-421013124440","layer":1},{"info":"≱⇩⩕⇑⪆-421013124440=⇑⪆11102213114300","layer":0}]}
{"id":238,"expression_no_base_symbol":"((⨡↴(⨩∲⋌$2976$))/($1122$≁$1435$)⇡⇂($3401$⪛$5722$))⨚(($1991$≭$5997$)⩦($7059$⫔⩽⩺$1771$)∌↝($1406$↳∿⪆$2065$⫡⨏$2628$⨚⇆$7356$))","expression":"((⨡↴(⨩∲⋌⇑⪆43401))/(⇑⪆13442≁⇑⪆21220)⇡⇂(⇑⪆102101⪛⇑⪆140342))⨚((⇑⪆30431≭⇑⪆142442)⩦(⇑⪆211214⫔⩽⩺⇑⪆24041)∌↝(⇑⪆21111↳∿⪆⇑⪆31230⫡⨏⇑⪆41003⨚⇆⇑⪆213411))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":38430,"operation_count":14,"complexity_ratio":2745.0,"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":2976,"base":5}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1122,"base":5},"right_expr":{"type":"numeric_atoms","value":1435,"base":5}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3401,"base":5},"right_expr":{"type":"numeric_atoms","value":5722,"base":5}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1991,"base":5},"right_expr":{"type":"numeric_atoms","value":5997,"base":5}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":7059,"base":5},"right_expr":{"type":"numeric_atoms","value":1771,"base":5}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1406,"base":5},"right_expr":{"type":"numeric_atoms","value":2065,"base":5}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2628,"base":5},"right_expr":{"type":"numeric_atoms","value":7356,"base":5}}}}},"used_operators":["nREPSIbpBE","XhwjNDsVaA","liw5iZPkLH","aSik1wnThz","UMwdvZNt44","8N2wDY1A35","uFcxV4UQCh","9Isq31Ruls","0kmYd0q39Y","rxpJgHHUmx","i9eR4S00cU","QMFrweE19q","Cw4SuJJGHO","lwHaAYXP2r"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","P8v4zCKN1o","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","AHs5Up7iyr","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2976","layer":4},{"info":"compute unary expreesion, input=2976, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-3499","layer":3},{"info":"compute unary expreesion, input=-3499, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=-55","layer":2},{"info":"number node, value=1122","layer":4},{"info":"number node, value=1435","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=1435, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=21239","layer":3},{"info":"number node, value=3401","layer":4},{"info":"number node, value=5722","layer":4},{"info":"compute binary expreesion, left_input=3401, right_input=5722, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3401","layer":3},{"info":"compute binary expreesion, left_input=21239, right_input=3401, 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=-55, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1991","layer":4},{"info":"number node, value=5997","layer":4},{"info":"compute binary expreesion, left_input=1991, right_input=5997, 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=7059","layer":4},{"info":"number node, value=1771","layer":4},{"info":"compute binary expreesion, left_input=7059, right_input=1771, 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 = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"number node, value=1406","layer":4},{"info":"number node, value=2065","layer":4},{"info":"compute binary expreesion, left_input=1406, right_input=2065, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2628","layer":4},{"info":"number node, value=7356","layer":4},{"info":"compute binary expreesion, left_input=2628, right_input=7356, 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 = 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 binary expreesion, left_input=nan, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⨡↴(⨩∲⋌⇑⪆43401))/(⇑⪆13442≁⇑⪆21220)⇡⇂(⇑⪆102101⪛⇑⪆140342))⨚((⇑⪆30431≭⇑⪆142442)⩦(⇑⪆211214⫔⩽⩺⇑⪆24041)∌↝(⇑⪆21111↳∿⪆⇑⪆31230⫡⨏⇑⪆41003⨚⇆⇑⪆213411))=NaN","reverse_text":"NaN=((⨡↴(⨩∲⋌⇑⪆43401))/(⇑⪆13442≁⇑⪆21220)⇡⇂(⇑⪆102101⪛⇑⪆140342))⨚((⇑⪆30431≭⇑⪆142442)⩦(⇑⪆211214⫔⩽⩺⇑⪆24041)∌↝(⇑⪆21111↳∿⪆⇑⪆31230⫡⨏⇑⪆41003⨚⇆⇑⪆213411))","cot":[{"info":"⨩∲⋌⇑⪆43401=⇑⪆-102444","layer":3},{"info":"⨡↴⇑⪆-102444=⇑⪆-210","layer":2},{"info":"⇑⪆13442≁⇑⪆21220=⇑⪆1134424","layer":3},{"info":"⇑⪆102101⪛⇑⪆140342=⇑⪆102101","layer":3},{"info":"⇑⪆1134424⇡⇂⇑⪆102101=NaN","layer":2},{"info":"⇑⪆-210/NaN=NaN","layer":1},{"info":"⇑⪆30431≭⇑⪆142442=NaN","layer":3},{"info":"⇑⪆211214⫔⩽⩺⇑⪆24041=NaN","layer":3},{"info":"NaN⩦NaN=NaN","layer":2},{"info":"⇑⪆21111↳∿⪆⇑⪆31230=NaN","layer":3},{"info":"⇑⪆41003⨚⇆⇑⪆213411=NaN","layer":3},{"info":"NaN⫡⨏NaN=NaN","layer":2},{"info":"NaN∌↝NaN=NaN","layer":1},{"info":"NaN⨚NaN=NaN","layer":0}]}
{"id":239,"expression_no_base_symbol":"(((⋣$2713$)⋷(≻⋜$3127$))⇩)⋩≍≻","expression":"(((⋣⇑⪆41323)⋷(≻⋜⇑⪆100002))⇩)⋩≍≻","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":15206,"operation_count":5,"complexity_ratio":3041.2,"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":2713,"base":5}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":3127,"base":5}}}}},"used_operators":["WYd1w68Nbz","vRio1gEz1j","23Mk6UjR3U","zQWRhDnn8F","3tj9sqzovi"],"dependent_operators":["P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"⇑⪆-210","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2713","layer":4},{"info":"compute unary expreesion, input=2713, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-797527","layer":3},{"info":"number node, value=3127","layer":4},{"info":"compute unary expreesion, input=3127, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-797527, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1595054","layer":2},{"info":"compute unary expreesion, input=1595054, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=1595147","layer":1},{"info":"compute unary expreesion, input=1595147, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":0}],"base":5,"result_base":5,"text":"(((⋣⇑⪆41323)⋷(≻⋜⇑⪆100002))⇩)⋩≍≻=⇑⪆-210","reverse_text":"⇑⪆-210=(((⋣⇑⪆41323)⋷(≻⋜⇑⪆100002))⇩)⋩≍≻","cot":[{"info":"⋣⇑⪆41323=⇑⪆-201010102","layer":3},{"info":"≻⋜⇑⪆100002=NaN","layer":3},{"info":"⇑⪆-201010102⋷NaN=⇑⪆402020204","layer":2},{"info":"⇑⪆402020204⇩=⇑⪆402021042","layer":1},{"info":"⇑⪆402021042⋩≍≻=⇑⪆-210","layer":0}]}
{"id":240,"expression_no_base_symbol":"($7734$⨟⋌⩍$1069$⇣⩺⋵($1322$+⇶⊼$4470$))∓⋝(↑(≻⋜$1161$))⇴($1644$*$3079$↱($2057$∀⋜↑))⪛($1050$⪭≯$4285$⩵∡(⨴⫝$1620$))","expression":"(⇑⪆221414⨟⋌⩍⇑⪆13234⇣⩺⋵(⇑⪆20242+⇶⊼⇑⪆120340))∓⋝(↑(≻⋜⇑⪆14121))⇴(⇑⪆23034*⇑⪆44304↱(⇑⪆31212∀⋜↑))⪛(⇑⪆13200⪭≯⇑⪆114120⩵∡(⨴⫝⇑⪆22440))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9891,"operation_count":14,"complexity_ratio":706.5,"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":7734,"base":5},"right_expr":{"type":"numeric_atoms","value":1069,"base":5}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1322,"base":5},"right_expr":{"type":"numeric_atoms","value":4470,"base":5}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1161,"base":5}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1644,"base":5},"right_expr":{"type":"numeric_atoms","value":3079,"base":5}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":2057,"base":5}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1050,"base":5},"right_expr":{"type":"numeric_atoms","value":4285,"base":5}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1620,"base":5}}}}},"used_operators":["4JB6nKBMSY","PoHhknlbAi","F4yD0voBRQ","rGHVDoGpnC","TpPTUOHfaN","tR7O2zTn5j","3tj9sqzovi","uFcxV4UQCh","SR5kFfdi6N","9HNa5Wba9A","KipPnG1M2J","Y7wcNGrDQJ","XAx5wpdLa6","SVb2v531z1"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","Tcnh7f0tEr","AHs5Up7iyr","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","NTOWxs364D","glklzrTFfD","tifHPKVTfV","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7734","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=7734, right_input=1069, 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=1322","layer":4},{"info":"number node, value=4470","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=4470, 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 = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=1161","layer":4},{"info":"compute unary expreesion, input=1161, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=1644","layer":4},{"info":"number node, value=3079","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=3079, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5061876","layer":3},{"info":"number node, value=2057","layer":4},{"info":"compute unary expreesion, input=2057, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=5061876, right_input=-484, 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=11440","layer":2},{"info":"number node, value=1050","layer":4},{"info":"number node, value=4285","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=4285, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=1620","layer":4},{"info":"compute unary expreesion, input=1620, 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=nan, right_input=2828198, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11440, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆221414⨟⋌⩍⇑⪆13234⇣⩺⋵(⇑⪆20242+⇶⊼⇑⪆120340))∓⋝(↑(≻⋜⇑⪆14121))⇴(⇑⪆23034*⇑⪆44304↱(⇑⪆31212∀⋜↑))⪛(⇑⪆13200⪭≯⇑⪆114120⩵∡(⨴⫝⇑⪆22440))=NaN","reverse_text":"NaN=(⇑⪆221414⨟⋌⩍⇑⪆13234⇣⩺⋵(⇑⪆20242+⇶⊼⇑⪆120340))∓⋝(↑(≻⋜⇑⪆14121))⇴(⇑⪆23034*⇑⪆44304↱(⇑⪆31212∀⋜↑))⪛(⇑⪆13200⪭≯⇑⪆114120⩵∡(⨴⫝⇑⪆22440))","cot":[{"info":"⇑⪆221414⨟⋌⩍⇑⪆13234=NaN","layer":3},{"info":"⇑⪆20242+⇶⊼⇑⪆120340=NaN","layer":3},{"info":"NaN⇣⩺⋵NaN=⇑⪆-2020","layer":2},{"info":"≻⋜⇑⪆14121=NaN","layer":3},{"info":"↑NaN=NaN","layer":2},{"info":"⇑⪆-2020∓⋝NaN=⇑⪆232","layer":1},{"info":"⇑⪆23034*⇑⪆44304=⇑⪆2243440001","layer":3},{"info":"⇑⪆31212∀⋜↑=⇑⪆-3414","layer":3},{"info":"⇑⪆2243440001↱⇑⪆-3414=⇑⪆331230","layer":2},{"info":"⇑⪆13200⪭≯⇑⪆114120=NaN","layer":3},{"info":"⨴⫝⇑⪆22440=⇑⪆1211000243","layer":3},{"info":"NaN⩵∡⇑⪆1211000243=NaN","layer":2},{"info":"⇑⪆331230⪛NaN=NaN","layer":1},{"info":"⇑⪆232⇴NaN=NaN","layer":0}]}
{"id":241,"expression_no_base_symbol":"(∂($5936$⨔≚≋$1987$))⩌⋺(∂⩏⊆$2241$∑⇟⊟$2320$)≃(⊈(⫯$1114$⪝$6092$))","expression":"(∂(⇑⪆142221⨔≚≋⇑⪆30422))⩌⋺(∂⩏⊆⇑⪆32431∑⇟⊟⇑⪆33240)≃(⊈(⫯⇑⪆13424⪝⇑⪆143332))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":548,"operation_count":9,"complexity_ratio":60.888888888888886,"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":5936,"base":5},"right_expr":{"type":"numeric_atoms","value":1987,"base":5}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2241,"base":5},"right_expr":{"type":"numeric_atoms","value":2320,"base":5}}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1114,"base":5},"right_expr":{"type":"numeric_atoms","value":6092,"base":5}}}}},"used_operators":["YbVcJGFEVW","g7Hmc5v1ko","Uaa54Peajs","Z57zeUYC9z","8WDwsbhb0R","U7g4x0WXJJ","RHru8klgy8","H6BK1Evt7c","wicAB68Tmb"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","14qkJME0vr","eLAdDNolq6","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","12rbrZMWeM","xUOZtlo3hN","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"⇑⪆2004231","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5936","layer":4},{"info":"number node, value=1987","layer":4},{"info":"compute binary expreesion, left_input=5936, right_input=1987, 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 = 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=2241","layer":4},{"info":"number node, value=2320","layer":4},{"info":"compute binary expreesion, left_input=2241, right_input=2320, 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 = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, 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":1},{"info":"number node, value=1114","layer":4},{"info":"number node, value=6092","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=6092, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute unary expreesion, input=237, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=7790","layer":2},{"info":"compute unary expreesion, input=7790, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-7964","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7964, 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=31816","layer":0}],"base":5,"result_base":5,"text":"(∂(⇑⪆142221⨔≚≋⇑⪆30422))⩌⋺(∂⩏⊆⇑⪆32431∑⇟⊟⇑⪆33240)≃(⊈(⫯⇑⪆13424⪝⇑⪆143332))=⇑⪆2004231","reverse_text":"⇑⪆2004231=(∂(⇑⪆142221⨔≚≋⇑⪆30422))⩌⋺(∂⩏⊆⇑⪆32431∑⇟⊟⇑⪆33240)≃(⊈(⫯⇑⪆13424⪝⇑⪆143332))","cot":[{"info":"⇑⪆142221⨔≚≋⇑⪆30422=⇑⪆303442","layer":3},{"info":"∂⇑⪆303442=NaN","layer":2},{"info":"⇑⪆32431∑⇟⊟⇑⪆33240=NaN","layer":3},{"info":"∂⩏⊆NaN=NaN","layer":2},{"info":"NaN⩌⋺NaN=NaN","layer":1},{"info":"⇑⪆13424⪝⇑⪆143332=⇑⪆1422","layer":3},{"info":"⫯⇑⪆1422=⇑⪆222130","layer":2},{"info":"⊈⇑⪆222130=⇑⪆-223324","layer":1},{"info":"NaN≃⇑⪆-223324=⇑⪆2004231","layer":0}]}
{"id":242,"expression_no_base_symbol":"($4899$⋻⩜⩜$4842$⊍⩺⋍(∨∊⋏$1129$))⩷∴(⨙⪌$6446$)⨂≜($3477$⨲∙)+⇶⊼$3336$⇂≾⫗$1192$∋(⇙⪊$1827$)⊢((⪁⇼$7199$)∕⩚$5794$≚⊃≕$5605$)","expression":"(⇑⪆124044⋻⩜⩜⇑⪆123332⊍⩺⋍(∨∊⋏⇑⪆14004))⩷∴(⨙⪌⇑⪆201241)⨂≜(⇑⪆102402⨲∙)+⇶⊼⇑⪆101321⇂≾⫗⇑⪆14232∋(⇙⪊⇑⪆24302)⊢((⪁⇼⇑⪆212244)∕⩚⇑⪆141134≚⊃≕⇑⪆134410)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":70510,"operation_count":15,"complexity_ratio":4700.666666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4899,"base":5},"right_expr":{"type":"numeric_atoms","value":4842,"base":5}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1129,"base":5}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":6446,"base":5}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":3477,"base":5}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3336,"base":5},"right_expr":{"type":"numeric_atoms","value":1192,"base":5}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1827,"base":5}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":7199,"base":5}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":5794,"base":5},"right_expr":{"type":"numeric_atoms","value":5605,"base":5}}}}},"used_operators":["TpPTUOHfaN","9FxExcQeMw","OXDGMFPWZM","oDCm7WA9JY","R5aXW34M0v","k1SHOSEABc","vEGLkm4Z2k","cRahaglYVE","5twsqlHp2o","ukq6epAj5P","aBQ6xLxuTc","pB6Fcnrjim","z9ffQ9n5Zr","ZNVVrZ94lY","Bmrmz2XGnR"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4899","layer":4},{"info":"number node, value=4842","layer":4},{"info":"compute binary expreesion, left_input=4899, right_input=4842, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=9798","layer":3},{"info":"number node, value=1129","layer":4},{"info":"compute unary expreesion, input=1129, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=13895","layer":3},{"info":"compute binary expreesion, left_input=9798, right_input=13895, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=6446","layer":4},{"info":"compute unary expreesion, input=6446, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=3477","layer":4},{"info":"compute unary expreesion, input=3477, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=45082818","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=45082818, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=3336","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=3336, right_input=1192, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1827","layer":4},{"info":"compute unary expreesion, input=1827, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=0, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-88824","layer":2},{"info":"number node, value=7199","layer":4},{"info":"compute unary expreesion, input=7199, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=5794","layer":4},{"info":"number node, value=5605","layer":4},{"info":"compute binary expreesion, left_input=5794, right_input=5605, 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=422, right_input=67, 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=-88824, right_input=-487, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=177404","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177404, 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":5,"result_base":5,"text":"(⇑⪆124044⋻⩜⩜⇑⪆123332⊍⩺⋍(∨∊⋏⇑⪆14004))⩷∴(⨙⪌⇑⪆201241)⨂≜(⇑⪆102402⨲∙)+⇶⊼⇑⪆101321⇂≾⫗⇑⪆14232∋(⇙⪊⇑⪆24302)⊢((⪁⇼⇑⪆212244)∕⩚⇑⪆141134≚⊃≕⇑⪆134410)=NaN","reverse_text":"NaN=(⇑⪆124044⋻⩜⩜⇑⪆123332⊍⩺⋍(∨∊⋏⇑⪆14004))⩷∴(⨙⪌⇑⪆201241)⨂≜(⇑⪆102402⨲∙)+⇶⊼⇑⪆101321⇂≾⫗⇑⪆14232∋(⇙⪊⇑⪆24302)⊢((⪁⇼⇑⪆212244)∕⩚⇑⪆141134≚⊃≕⇑⪆134410)","cot":[{"info":"⇑⪆124044⋻⩜⩜⇑⪆123332=⇑⪆303143","layer":3},{"info":"∨∊⋏⇑⪆14004=⇑⪆421040","layer":3},{"info":"⇑⪆303143⊍⩺⋍⇑⪆421040=NaN","layer":2},{"info":"⨙⪌⇑⪆201241=⇑⪆11433","layer":3},{"info":"⇑⪆102402⨲∙=⇑⪆43020122233","layer":3},{"info":"⇑⪆11433⨂≜⇑⪆43020122233=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"⇑⪆101321⇂≾⫗⇑⪆14232=⇑⪆-10201","layer":3},{"info":"⇙⪊⇑⪆24302=⇑⪆0","layer":3},{"info":"⇑⪆-10201∋⇑⪆0=⇑⪆-10320244","layer":2},{"info":"⪁⇼⇑⪆212244=⇑⪆3142","layer":3},{"info":"⇑⪆141134≚⊃≕⇑⪆134410=⇑⪆232","layer":3},{"info":"⇑⪆3142∕⩚⇑⪆232=⇑⪆-3422","layer":2},{"info":"⇑⪆-10320244⊢⇑⪆-3422=⇑⪆21134104","layer":1},{"info":"NaN+⇶⊼⇑⪆21134104=NaN","layer":0}]}
{"id":243,"expression_no_base_symbol":"(≪(⩷(↩$6771$)))≝⊰⇂","expression":"(≪(⩷(↩⇑⪆204041)))≝⊰⇂","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1496,"operation_count":4,"complexity_ratio":374.0,"tree":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":6771,"base":5}}}}},"used_operators":["htSmYCowi5","Qtd6bqUJcN","1h0rLqGiFr","jLgFTUHLKL"],"dependent_operators":["9FxExcQeMw","DlLNRPXxWL","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6771","layer":4},{"info":"compute unary expreesion, input=6771, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-51388","layer":3},{"info":"compute unary expreesion, input=-51388, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=616577","layer":2},{"info":"compute unary expreesion, input=616577, 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 = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"(≪(⩷(↩⇑⪆204041)))≝⊰⇂=⇑⪆0","reverse_text":"⇑⪆0=(≪(⩷(↩⇑⪆204041)))≝⊰⇂","cot":[{"info":"↩⇑⪆204041=⇑⪆-3121023","layer":3},{"info":"⩷⇑⪆-3121023=⇑⪆124212302","layer":2},{"info":"≪⇑⪆124212302=⇑⪆12123","layer":1},{"info":"⇑⪆12123≝⊰⇂=⇑⪆0","layer":0}]}
{"id":244,"expression_no_base_symbol":"(⊆⋠(≋$1158$∘$3032$))↑","expression":"(⊆⋠(≋⇑⪆14113∘⇑⪆44112))↑","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":39,"operation_count":4,"complexity_ratio":9.75,"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":1158,"base":5},"right_expr":{"type":"numeric_atoms","value":3032,"base":5}}}}},"used_operators":["BThhyOhh10","EBhcHTkKd8","61wBmkZwlr","Z5m6OM72h2"],"dependent_operators":["i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","7j4O788W3g","eH2TOUuTDT","rysDP5nf3Z"],"result":"⇑⪆1342","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1158","layer":4},{"info":"number node, value=3032","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=3032, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2316","layer":3},{"info":"compute unary expreesion, input=2316, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=2316","layer":2},{"info":"compute unary expreesion, input=2316, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , 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":5,"result_base":5,"text":"(⊆⋠(≋⇑⪆14113∘⇑⪆44112))↑=⇑⪆1342","reverse_text":"⇑⪆1342=(⊆⋠(≋⇑⪆14113∘⇑⪆44112))↑","cot":[{"info":"⇑⪆14113∘⇑⪆44112=⇑⪆33231","layer":3},{"info":"≋⇑⪆33231=⇑⪆33231","layer":2},{"info":"⊆⋠⇑⪆33231=⇑⪆0","layer":1},{"info":"⇑⪆0↑=⇑⪆1342","layer":0}]}
{"id":245,"expression_no_base_symbol":"↨⩢⫨(($1865$⪒$4218$)⩺⪪($4169$⊾⪯⋞$6273$))≨(($2897$⇼⇔∾$1261$)⪠⩆⊳)","expression":"↨⩢⫨((⇑⪆24430⪒⇑⪆113333)⩺⪪(⇑⪆113134⊾⪯⋞⇑⪆200043))≨((⇑⪆43042⇼⇔∾⇑⪆20021)⪠⩆⊳)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":11886,"operation_count":7,"complexity_ratio":1698.0,"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":1865,"base":5},"right_expr":{"type":"numeric_atoms","value":4218,"base":5}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":4169,"base":5},"right_expr":{"type":"numeric_atoms","value":6273,"base":5}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2897,"base":5},"right_expr":{"type":"numeric_atoms","value":1261,"base":5}}}}},"used_operators":["Z5CJsN7DuW","0KMCeP1Jsh","uvdQJvN4PV","f6k1SAg4EE","HK0tfVPux8","JLbD19bQDL","tifHPKVTfV"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1865","layer":4},{"info":"number node, value=4218","layer":4},{"info":"compute binary expreesion, left_input=1865, right_input=4218, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6083","layer":3},{"info":"number node, value=4169","layer":4},{"info":"number node, value=6273","layer":4},{"info":"compute binary expreesion, left_input=4169, right_input=6273, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=12120","layer":3},{"info":"compute binary expreesion, left_input=-6083, right_input=12120, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":2},{"info":"number node, value=2897","layer":4},{"info":"number node, value=1261","layer":4},{"info":"compute binary expreesion, left_input=2897, right_input=1261, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1636","layer":3},{"info":"compute unary expreesion, input=-1636, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1818, right_input=0, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=4292","layer":1},{"info":"compute unary expreesion, input=4292, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":5,"result_base":5,"text":"↨⩢⫨((⇑⪆24430⪒⇑⪆113333)⩺⪪(⇑⪆113134⊾⪯⋞⇑⪆200043))≨((⇑⪆43042⇼⇔∾⇑⪆20021)⪠⩆⊳)=⇑⪆0","reverse_text":"⇑⪆0=↨⩢⫨((⇑⪆24430⪒⇑⪆113333)⩺⪪(⇑⪆113134⊾⪯⋞⇑⪆200043))≨((⇑⪆43042⇼⇔∾⇑⪆20021)⪠⩆⊳)","cot":[{"info":"⇑⪆24430⪒⇑⪆113333=⇑⪆-143313","layer":3},{"info":"⇑⪆113134⊾⪯⋞⇑⪆200043=⇑⪆341440","layer":3},{"info":"⇑⪆-143313⩺⪪⇑⪆341440=⇑⪆-24233","layer":2},{"info":"⇑⪆43042⇼⇔∾⇑⪆20021=⇑⪆-23021","layer":3},{"info":"⇑⪆-23021⪠⩆⊳=⇑⪆0","layer":2},{"info":"⇑⪆-24233≨⇑⪆0=⇑⪆114132","layer":1},{"info":"↨⩢⫨⇑⪆114132=⇑⪆0","layer":0}]}
{"id":246,"expression_no_base_symbol":"((($5944$⩁)⫚↹⊑($7941$∀⋜↑))⫉⨲⊜(⇜⊴$1206$⇼⇔∾$4018$))⨑⩅≇(($3039$⫁$3842$⊨$3963$∑⇟⊟$6495$)↓($2524$↡⊰⫅$1827$)⋕⪉⪜($2495$⨔⇊$2880$))","expression":"(((⇑⪆142234⩁)⫚↹⊑(⇑⪆223231∀⋜↑))⫉⨲⊜(⇜⊴⇑⪆14311⇼⇔∾⇑⪆112033))⨑⩅≇((⇑⪆44124⫁⇑⪆110332⊨⇑⪆111323∑⇟⊟⇑⪆201440)↓(⇑⪆40044↡⊰⫅⇑⪆24302)⋕⪉⪜(⇑⪆34440⨔⇊⇑⪆43010))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":65481,"operation_count":14,"complexity_ratio":4677.214285714285,"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":5944,"base":5}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":7941,"base":5}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1206,"base":5},"right_expr":{"type":"numeric_atoms","value":4018,"base":5}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3039,"base":5},"right_expr":{"type":"numeric_atoms","value":3842,"base":5}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3963,"base":5},"right_expr":{"type":"numeric_atoms","value":6495,"base":5}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2524,"base":5},"right_expr":{"type":"numeric_atoms","value":1827,"base":5}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2495,"base":5},"right_expr":{"type":"numeric_atoms","value":2880,"base":5}}}}},"used_operators":["h92wMvzauj","WhqkvtTD3t","dfKe02y8D2","5GqDbVmqXU","KipPnG1M2J","XwDhCwWbUn","tifHPKVTfV","Af076pWI7l","vg4gO5BX6G","0ajvFaJAv0","U7g4x0WXJJ","z6LnFrNh4i","VCtxkLNOzz","JclMnS0uGI"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eewbuw0ToL","zVYPLywUTj","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","rysDP5nf3Z","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","cHh1gJQ2o6","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"⇑⪆-210","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5944","layer":4},{"info":"compute unary expreesion, input=5944, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-44772","layer":3},{"info":"number node, value=7941","layer":4},{"info":"compute unary expreesion, input=7941, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=-44772, right_input=-484, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=1206","layer":4},{"info":"number node, value=4018","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=4018, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2812","layer":3},{"info":"compute unary expreesion, input=2812, 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=-649918","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-649918, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-650028","layer":1},{"info":"number node, value=3039","layer":4},{"info":"number node, value=3842","layer":4},{"info":"compute binary expreesion, left_input=3039, right_input=3842, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=3963","layer":4},{"info":"number node, value=6495","layer":4},{"info":"compute binary expreesion, left_input=3963, right_input=6495, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":2},{"info":"number node, value=2524","layer":4},{"info":"number node, value=1827","layer":4},{"info":"compute binary expreesion, left_input=2524, right_input=1827, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3654","layer":3},{"info":"number node, value=2495","layer":4},{"info":"number node, value=2880","layer":4},{"info":"compute binary expreesion, left_input=2495, right_input=2880, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2880","layer":3},{"info":"compute binary expreesion, left_input=3654, right_input=2880, 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 = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=-650028, right_input=-134, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆142234⩁)⫚↹⊑(⇑⪆223231∀⋜↑))⫉⨲⊜(⇜⊴⇑⪆14311⇼⇔∾⇑⪆112033))⨑⩅≇((⇑⪆44124⫁⇑⪆110332⊨⇑⪆111323∑⇟⊟⇑⪆201440)↓(⇑⪆40044↡⊰⫅⇑⪆24302)⋕⪉⪜(⇑⪆34440⨔⇊⇑⪆43010))=⇑⪆-210","reverse_text":"⇑⪆-210=(((⇑⪆142234⩁)⫚↹⊑(⇑⪆223231∀⋜↑))⫉⨲⊜(⇜⊴⇑⪆14311⇼⇔∾⇑⪆112033))⨑⩅≇((⇑⪆44124⫁⇑⪆110332⊨⇑⪆111323∑⇟⊟⇑⪆201440)↓(⇑⪆40044↡⊰⫅⇑⪆24302)⋕⪉⪜(⇑⪆34440⨔⇊⇑⪆43010))","cot":[{"info":"⇑⪆142234⩁=⇑⪆-2413042","layer":3},{"info":"⇑⪆223231∀⋜↑=⇑⪆-3414","layer":3},{"info":"⇑⪆-2413042⫚↹⊑⇑⪆-3414=⇑⪆-3242","layer":2},{"info":"⇑⪆14311⇼⇔∾⇑⪆112033=⇑⪆42222","layer":3},{"info":"⇜⊴⇑⪆42222=⇑⪆-131244133","layer":2},{"info":"⇑⪆-3242⫉⨲⊜⇑⪆-131244133=⇑⪆-131300103","layer":1},{"info":"⇑⪆44124⫁⇑⪆110332=⇑⪆1120","layer":3},{"info":"⇑⪆111323∑⇟⊟⇑⪆201440=NaN","layer":3},{"info":"⇑⪆1120⊨NaN=NaN","layer":2},{"info":"⇑⪆40044↡⊰⫅⇑⪆24302=⇑⪆104104","layer":3},{"info":"⇑⪆34440⨔⇊⇑⪆43010=⇑⪆43010","layer":3},{"info":"⇑⪆104104⋕⪉⪜⇑⪆43010=⇑⪆42202","layer":2},{"info":"NaN↓⇑⪆42202=⇑⪆-1014","layer":1},{"info":"⇑⪆-131300103⨑⩅≇⇑⪆-1014=⇑⪆-210","layer":0}]}
{"id":247,"expression_no_base_symbol":"(($2607$⪄$2248$)⪕(≀↧⇸$4428$)⫰⋱(∐⩳⋚($6342$⇪⋭)))⇚⪠","expression":"((⇑⪆40412⪄⇑⪆32443)⪕(≀↧⇸⇑⪆120203)⫰⋱(∐⩳⋚(⇑⪆200332⇪⋭)))⇚⪠","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":178,"operation_count":7,"complexity_ratio":25.428571428571427,"tree":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2607,"base":5},"right_expr":{"type":"numeric_atoms","value":2248,"base":5}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":4428,"base":5}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":6342,"base":5}}}}},"used_operators":["Loh9y4A90B","6o9Blt3TJ6","umQnsF7QlU","SUmda5xLS4","ljTHtUsqzn","SL6IHkK8vl","Z8Yg6dlDSp"],"dependent_operators":["Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XPYlsWDdGa","23Mk6UjR3U","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2607","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=2607, right_input=2248, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-390917","layer":3},{"info":"number node, value=4428","layer":4},{"info":"compute unary expreesion, input=4428, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=8856","layer":3},{"info":"compute binary expreesion, left_input=-390917, right_input=8856, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"number node, value=6342","layer":4},{"info":"compute unary expreesion, input=6342, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', 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=-55, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', 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":5,"result_base":5,"text":"((⇑⪆40412⪄⇑⪆32443)⪕(≀↧⇸⇑⪆120203)⫰⋱(∐⩳⋚(⇑⪆200332⇪⋭)))⇚⪠=NaN","reverse_text":"NaN=((⇑⪆40412⪄⇑⪆32443)⪕(≀↧⇸⇑⪆120203)⫰⋱(∐⩳⋚(⇑⪆200332⇪⋭)))⇚⪠","cot":[{"info":"⇑⪆40412⪄⇑⪆32443=⇑⪆-100002132","layer":3},{"info":"≀↧⇸⇑⪆120203=⇑⪆240411","layer":3},{"info":"⇑⪆-100002132⪕⇑⪆240411=⇑⪆-210","layer":2},{"info":"⇑⪆200332⇪⋭=NaN","layer":3},{"info":"∐⩳⋚NaN=NaN","layer":2},{"info":"⇑⪆-210⫰⋱NaN=NaN","layer":1},{"info":"NaN⇚⪠=NaN","layer":0}]}
{"id":248,"expression_no_base_symbol":"((⩰$6878$⇤$4916$)∳⫺$1112$⪝$1006$∴($1773$≬⋮$6354$))≴⪞⇿(($1089$⩁⩘$2360$⊋≦⊧(⫛⫱⨽$5815$))≚⋢)","expression":"((⩰⇑⪆210003⇤⇑⪆124131)∳⫺⇑⪆13422⪝⇑⪆13011∴(⇑⪆24043≬⋮⇑⪆200404))≴⪞⇿((⇑⪆13324⩁⩘⇑⪆33420⊋≦⊧(⫛⫱⨽⇑⪆141230))≚⋢)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2120,"operation_count":11,"complexity_ratio":192.72727272727272,"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":6878,"base":5},"right_expr":{"type":"numeric_atoms","value":4916,"base":5}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1112,"base":5},"right_expr":{"type":"numeric_atoms","value":1006,"base":5}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1773,"base":5},"right_expr":{"type":"numeric_atoms","value":6354,"base":5}}}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1089,"base":5},"right_expr":{"type":"numeric_atoms","value":2360,"base":5}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5815,"base":5}}}}},"used_operators":["lvlrscuwVU","AzXXKTstlj","WkeUrDK8WX","YSKBFp38Pu","hrf7POJlIJ","wicAB68Tmb","kbkesczE7y","MahUMFw56D","oRDoc9rAEX","gub5Cegaqo","DlLNRPXxWL"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","3ViojmjbAp","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","DpFCA1CohY","IWmyXbctLI","rGHVDoGpnC"],"result":"⇑⪆-1122322","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6878","layer":4},{"info":"number node, value=4916","layer":4},{"info":"compute binary expreesion, left_input=6878, right_input=4916, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-56122","layer":3},{"info":"compute unary expreesion, input=-56122, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=111244","layer":2},{"info":"number node, value=1112","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=1112, right_input=1006, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=537","layer":3},{"info":"number node, value=1773","layer":4},{"info":"number node, value=6354","layer":4},{"info":"compute binary expreesion, left_input=1773, right_input=6354, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=537, right_input=868, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=2722","layer":2},{"info":"compute binary expreesion, left_input=111244, right_input=2722, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=1089","layer":4},{"info":"number node, value=2360","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=2360, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=10388","layer":3},{"info":"number node, value=5815","layer":4},{"info":"compute unary expreesion, input=5815, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=10388, right_input=0, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=240","layer":2},{"info":"compute unary expreesion, input=240, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=-89, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-20337","layer":0}],"base":5,"result_base":5,"text":"((⩰⇑⪆210003⇤⇑⪆124131)∳⫺⇑⪆13422⪝⇑⪆13011∴(⇑⪆24043≬⋮⇑⪆200404))≴⪞⇿((⇑⪆13324⩁⩘⇑⪆33420⊋≦⊧(⫛⫱⨽⇑⪆141230))≚⋢)=⇑⪆-1122322","reverse_text":"⇑⪆-1122322=((⩰⇑⪆210003⇤⇑⪆124131)∳⫺⇑⪆13422⪝⇑⪆13011∴(⇑⪆24043≬⋮⇑⪆200404))≴⪞⇿((⇑⪆13324⩁⩘⇑⪆33420⊋≦⊧(⫛⫱⨽⇑⪆141230))≚⋢)","cot":[{"info":"⇑⪆210003⇤⇑⪆124131=⇑⪆-3243442","layer":3},{"info":"⩰⇑⪆-3243442=⇑⪆12024434","layer":2},{"info":"⇑⪆13422⪝⇑⪆13011=⇑⪆4122","layer":3},{"info":"⇑⪆24043≬⋮⇑⪆200404=⇑⪆11433","layer":3},{"info":"⇑⪆4122∴⇑⪆11433=⇑⪆41342","layer":2},{"info":"⇑⪆12024434∳⫺⇑⪆41342=⇑⪆-2020","layer":1},{"info":"⇑⪆13324⩁⩘⇑⪆33420=⇑⪆313023","layer":3},{"info":"⫛⫱⨽⇑⪆141230=⇑⪆0","layer":3},{"info":"⇑⪆313023⊋≦⊧⇑⪆0=⇑⪆1430","layer":2},{"info":"⇑⪆1430≚⋢=⇑⪆-324","layer":1},{"info":"⇑⪆-2020≴⪞⇿⇑⪆-324=⇑⪆-1122322","layer":0}]}
{"id":249,"expression_no_base_symbol":"⨡↴(⩪∧⨌$1233$⊉↱≁$1185$⪚($3088$⩧⪆$1552$))","expression":"⨡↴(⩪∧⨌⇑⪆14413⊉↱≁⇑⪆14220⪚(⇑⪆44323⩧⪆⇑⪆22202))","highest_n_order":1,"priority_hierarchical_complexity":4,"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":1233,"base":5},"right_expr":{"type":"numeric_atoms","value":1185,"base":5}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3088,"base":5},"right_expr":{"type":"numeric_atoms","value":1552,"base":5}}}}},"used_operators":["liw5iZPkLH","6iOiAJX1F8","HrjLwUk87U","w2P8NbNXyL","Ikt5ks8PT7"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eewbuw0ToL","t8gj7n24qd"],"result":"⇑⪆13210024","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1233","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=1185, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=5168","layer":3},{"info":"number node, value=3088","layer":4},{"info":"number node, value=1552","layer":4},{"info":"compute binary expreesion, left_input=3088, right_input=1552, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1552","layer":3},{"info":"compute binary expreesion, left_input=5168, right_input=-1552, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=13084","layer":2},{"info":"compute unary expreesion, input=13084, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=130840","layer":1},{"info":"compute unary expreesion, input=130840, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=131889","layer":0}],"base":5,"result_base":5,"text":"⨡↴(⩪∧⨌⇑⪆14413⊉↱≁⇑⪆14220⪚(⇑⪆44323⩧⪆⇑⪆22202))=⇑⪆13210024","reverse_text":"⇑⪆13210024=⨡↴(⩪∧⨌⇑⪆14413⊉↱≁⇑⪆14220⪚(⇑⪆44323⩧⪆⇑⪆22202))","cot":[{"info":"⇑⪆14413⊉↱≁⇑⪆14220=⇑⪆131133","layer":3},{"info":"⇑⪆44323⩧⪆⇑⪆22202=⇑⪆-22202","layer":3},{"info":"⇑⪆131133⪚⇑⪆-22202=⇑⪆404314","layer":2},{"info":"⩪∧⨌⇑⪆404314=⇑⪆13141330","layer":1},{"info":"⨡↴⇑⪆13141330=⇑⪆13210024","layer":0}]}
{"id":250,"expression_no_base_symbol":"(⊀$3182$∣$2432$)⨥⫆($4049$⇍⊗$3491$≬⋮($2619$≬⋮$5757$))⇌⫙⪟(($5336$∁)∲⫓$3799$⨸$1772$)⊱⇼⊻($1625$≳⇉$4531$∕⩚$5196$⇣⩺⋵$3443$)","expression":"(⊀⇑⪆100212∣⇑⪆34212)⨥⫆(⇑⪆112144⇍⊗⇑⪆102431≬⋮(⇑⪆40434≬⋮⇑⪆141012))⇌⫙⪟((⇑⪆132321∁)∲⫓⇑⪆110144⨸⇑⪆24042)⊱⇼⊻(⇑⪆23000≳⇉⇑⪆121111∕⩚⇑⪆131241⇣⩺⋵⇑⪆102233)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":285608261,"operation_count":14,"complexity_ratio":20400590.07142857,"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":3182,"base":5},"right_expr":{"type":"numeric_atoms","value":2432,"base":5}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":4049,"base":5},"right_expr":{"type":"numeric_atoms","value":3491,"base":5}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2619,"base":5},"right_expr":{"type":"numeric_atoms","value":5757,"base":5}}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":5336,"base":5}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3799,"base":5},"right_expr":{"type":"numeric_atoms","value":1772,"base":5}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1625,"base":5},"right_expr":{"type":"numeric_atoms","value":4531,"base":5}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":5196,"base":5},"right_expr":{"type":"numeric_atoms","value":3443,"base":5}}}}},"used_operators":["AFVx7xoS7T","yXekIHxTD4","oPMjh9089D","PPChnnnBFF","kbkesczE7y","5uvYHDjeKN","FyVja0WsTP","i8ToyICDmI","jdwGQqwJi5","KmoU8R5UQR","z9ffQ9n5Zr","V0kx6qeWkN","F4yD0voBRQ"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"⇑⪆423","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=3182","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=3182, right_input=2432, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3182","layer":3},{"info":"compute unary expreesion, input=3182, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=12466","layer":2},{"info":"number node, value=4049","layer":4},{"info":"number node, value=3491","layer":4},{"info":"compute binary expreesion, left_input=4049, right_input=3491, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=2619","layer":4},{"info":"number node, value=5757","layer":4},{"info":"compute binary expreesion, left_input=2619, right_input=5757, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=868, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=12466, right_input=868, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=1612","layer":1},{"info":"number node, value=5336","layer":4},{"info":"compute unary expreesion, input=5336, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=5336","layer":3},{"info":"number node, value=3799","layer":4},{"info":"number node, value=1772","layer":4},{"info":"compute binary expreesion, left_input=3799, right_input=1772, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=7598","layer":3},{"info":"compute binary expreesion, left_input=5336, right_input=7598, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1625","layer":4},{"info":"number node, value=4531","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=4531, 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=5196","layer":4},{"info":"number node, value=3443","layer":4},{"info":"compute binary expreesion, left_input=5196, right_input=3443, 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 = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-487, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=2802","layer":1},{"info":"compute binary expreesion, left_input=1612, right_input=2802, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":0}],"base":5,"result_base":5,"text":"(⊀⇑⪆100212∣⇑⪆34212)⨥⫆(⇑⪆112144⇍⊗⇑⪆102431≬⋮(⇑⪆40434≬⋮⇑⪆141012))⇌⫙⪟((⇑⪆132321∁)∲⫓⇑⪆110144⨸⇑⪆24042)⊱⇼⊻(⇑⪆23000≳⇉⇑⪆121111∕⩚⇑⪆131241⇣⩺⋵⇑⪆102233)=⇑⪆423","reverse_text":"⇑⪆423=(⊀⇑⪆100212∣⇑⪆34212)⨥⫆(⇑⪆112144⇍⊗⇑⪆102431≬⋮(⇑⪆40434≬⋮⇑⪆141012))⇌⫙⪟((⇑⪆132321∁)∲⫓⇑⪆110144⨸⇑⪆24042)⊱⇼⊻(⇑⪆23000≳⇉⇑⪆121111∕⩚⇑⪆131241⇣⩺⋵⇑⪆102233)","cot":[{"info":"⇑⪆100212∣⇑⪆34212=⇑⪆100212","layer":3},{"info":"⊀⇑⪆100212=⇑⪆344331","layer":2},{"info":"⇑⪆112144⇍⊗⇑⪆102431=⇑⪆-1434","layer":3},{"info":"⇑⪆40434≬⋮⇑⪆141012=⇑⪆11433","layer":3},{"info":"⇑⪆-1434≬⋮⇑⪆11433=⇑⪆11433","layer":2},{"info":"⇑⪆344331⨥⫆⇑⪆11433=⇑⪆22422","layer":1},{"info":"⇑⪆132321∁=⇑⪆132321","layer":3},{"info":"⇑⪆110144⨸⇑⪆24042=⇑⪆220343","layer":3},{"info":"⇑⪆132321∲⫓⇑⪆220343=⇑⪆0","layer":2},{"info":"⇑⪆23000≳⇉⇑⪆121111=NaN","layer":3},{"info":"⇑⪆131241⇣⩺⋵⇑⪆102233=⇑⪆-2020","layer":3},{"info":"NaN∕⩚⇑⪆-2020=⇑⪆-3422","layer":2},{"info":"⇑⪆0⊱⇼⊻⇑⪆-3422=⇑⪆42202","layer":1},{"info":"⇑⪆22422⇌⫙⪟⇑⪆42202=⇑⪆423","layer":0}]}
{"id":251,"expression_no_base_symbol":"(↥(($8885$%$5294$)⩹$6129$⋹⋡⊁$4065$))⪍↜⋙($4706$∳⫺$1803$⊉≛↸($2057$⪁$2744$))⊬⨰(≪($6572$⊬⫿⊭))","expression":"(↥((⇑⪆241020%⇑⪆132134)⩹⇑⪆144004⋹⋡⊁⇑⪆112230))⪍↜⋙(⇑⪆122311∳⫺⇑⪆24203⊉≛↸(⇑⪆31212⪁⇑⪆41434))⊬⨰(≪(⇑⪆202242⊬⫿⊭))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":118396600,"operation_count":11,"complexity_ratio":10763327.272727273,"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":8885,"base":5},"right_expr":{"type":"numeric_atoms","value":5294,"base":5}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":6129,"base":5},"right_expr":{"type":"numeric_atoms","value":4065,"base":5}}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":4706,"base":5},"right_expr":{"type":"numeric_atoms","value":1803,"base":5}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2057,"base":5},"right_expr":{"type":"numeric_atoms","value":2744,"base":5}}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":6572,"base":5}}}}},"used_operators":["L05ObWFQCd","A8NUZmVepG","2Wsdkap16l","k8jYdgA6NY","As8RqfVLgs","s3Fd5m9Dh2","DZ8iAZOCBD","AzXXKTstlj","I7sXao9hZE","Qtd6bqUJcN","v0DYgG9ikt"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","k8jYdgA6NY","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rysDP5nf3Z","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8885","layer":4},{"info":"number node, value=5294","layer":4},{"info":"compute binary expreesion, left_input=8885, right_input=5294, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3591","layer":3},{"info":"number node, value=6129","layer":4},{"info":"number node, value=4065","layer":4},{"info":"compute binary expreesion, left_input=6129, right_input=4065, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4815","layer":3},{"info":"compute binary expreesion, left_input=3591, right_input=4815, 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=4813","layer":2},{"info":"compute unary expreesion, input=4813, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=19","layer":1},{"info":"number node, value=4706","layer":4},{"info":"number node, value=1803","layer":4},{"info":"compute binary expreesion, left_input=4706, right_input=1803, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=2057","layer":4},{"info":"number node, value=2744","layer":4},{"info":"compute binary expreesion, left_input=2057, right_input=2744, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=6572","layer":4},{"info":"compute unary expreesion, input=6572, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-19716","layer":3},{"info":"compute unary expreesion, input=-19716, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=236463","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=236463, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=19, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(↥((⇑⪆241020%⇑⪆132134)⩹⇑⪆144004⋹⋡⊁⇑⪆112230))⪍↜⋙(⇑⪆122311∳⫺⇑⪆24203⊉≛↸(⇑⪆31212⪁⇑⪆41434))⊬⨰(≪(⇑⪆202242⊬⫿⊭))=NaN","reverse_text":"NaN=(↥((⇑⪆241020%⇑⪆132134)⩹⇑⪆144004⋹⋡⊁⇑⪆112230))⪍↜⋙(⇑⪆122311∳⫺⇑⪆24203⊉≛↸(⇑⪆31212⪁⇑⪆41434))⊬⨰(≪(⇑⪆202242⊬⫿⊭))","cot":[{"info":"⇑⪆241020%⇑⪆132134=⇑⪆103331","layer":3},{"info":"⇑⪆144004⋹⋡⊁⇑⪆112230=⇑⪆123230","layer":3},{"info":"⇑⪆103331⩹⇑⪆123230=⇑⪆123223","layer":2},{"info":"↥⇑⪆123223=⇑⪆34","layer":1},{"info":"⇑⪆122311∳⫺⇑⪆24203=⇑⪆-2020","layer":3},{"info":"⇑⪆31212⪁⇑⪆41434=NaN","layer":3},{"info":"⇑⪆-2020⊉≛↸NaN=NaN","layer":2},{"info":"⇑⪆202242⊬⫿⊭=⇑⪆-1112331","layer":3},{"info":"≪⇑⪆-1112331=⇑⪆30031323","layer":2},{"info":"NaN⊬⨰⇑⪆30031323=NaN","layer":1},{"info":"⇑⪆34⪍↜⋙NaN=NaN","layer":0}]}
{"id":252,"expression_no_base_symbol":"(≘((↥$3166$)⊢($3822$⫒⫫$6158$)))↱($1225$⪭≯$3473$)⇤($2201$⪒⊣⊆$4108$)⇌⫙⪟($5211$⪶≀⋏$5146$)⪒⊣⊆($1810$⨒$5575$)","expression":"(≘((↥⇑⪆100131)⊢(⇑⪆110242⫒⫫⇑⪆144113)))↱(⇑⪆14400⪭≯⇑⪆102343)⇤(⇑⪆32301⪒⊣⊆⇑⪆112413)⇌⫙⪟(⇑⪆131321⪶≀⋏⇑⪆131041)⪒⊣⊆(⇑⪆24220⨒⇑⪆134300)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":591,"operation_count":12,"complexity_ratio":49.25,"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":3166,"base":5}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":3822,"base":5},"right_expr":{"type":"numeric_atoms","value":6158,"base":5}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1225,"base":5},"right_expr":{"type":"numeric_atoms","value":3473,"base":5}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2201,"base":5},"right_expr":{"type":"numeric_atoms","value":4108,"base":5}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":5211,"base":5},"right_expr":{"type":"numeric_atoms","value":5146,"base":5}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1810,"base":5},"right_expr":{"type":"numeric_atoms","value":5575,"base":5}}}}},"used_operators":["SR5kFfdi6N","tcjXMdvYtA","5twsqlHp2o","A8NUZmVepG","6Ko8hGgeMq","AFVx7xoS7T","YSKBFp38Pu","XAx5wpdLa6","eRqsBgTDFp","zR4jO40bMj","y75s1iXyHd"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","k8jYdgA6NY","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3166","layer":4},{"info":"compute unary expreesion, input=3166, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=4","layer":3},{"info":"number node, value=3822","layer":4},{"info":"number node, value=6158","layer":4},{"info":"compute binary expreesion, left_input=3822, right_input=6158, 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=4, 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=-252","layer":2},{"info":"compute unary expreesion, input=-252, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=147914","layer":1},{"info":"number node, value=1225","layer":4},{"info":"number node, value=3473","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=3473, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=2201","layer":4},{"info":"number node, value=4108","layer":4},{"info":"compute binary expreesion, left_input=2201, right_input=4108, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4402","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4402, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":2},{"info":"number node, value=5211","layer":4},{"info":"number node, value=5146","layer":4},{"info":"compute binary expreesion, left_input=5211, right_input=5146, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-26157","layer":3},{"info":"number node, value=1810","layer":4},{"info":"number node, value=5575","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=5575, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-10488","layer":3},{"info":"compute binary expreesion, left_input=-26157, right_input=-10488, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=31440","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=31440, 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=147914, 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":5,"result_base":5,"text":"(≘((↥⇑⪆100131)⊢(⇑⪆110242⫒⫫⇑⪆144113)))↱(⇑⪆14400⪭≯⇑⪆102343)⇤(⇑⪆32301⪒⊣⊆⇑⪆112413)⇌⫙⪟(⇑⪆131321⪶≀⋏⇑⪆131041)⪒⊣⊆(⇑⪆24220⨒⇑⪆134300)=NaN","reverse_text":"NaN=(≘((↥⇑⪆100131)⊢(⇑⪆110242⫒⫫⇑⪆144113)))↱(⇑⪆14400⪭≯⇑⪆102343)⇤(⇑⪆32301⪒⊣⊆⇑⪆112413)⇌⫙⪟(⇑⪆131321⪶≀⋏⇑⪆131041)⪒⊣⊆(⇑⪆24220⨒⇑⪆134300)","cot":[{"info":"↥⇑⪆100131=⇑⪆4","layer":3},{"info":"⇑⪆110242⫒⫫⇑⪆144113=NaN","layer":3},{"info":"⇑⪆4⊢NaN=⇑⪆-2002","layer":2},{"info":"≘⇑⪆-2002=⇑⪆14213124","layer":1},{"info":"⇑⪆14400⪭≯⇑⪆102343=NaN","layer":3},{"info":"⇑⪆32301⪒⊣⊆⇑⪆112413=⇑⪆120102","layer":3},{"info":"NaN⇤⇑⪆120102=NaN","layer":2},{"info":"⇑⪆131321⪶≀⋏⇑⪆131041=⇑⪆-1314112","layer":3},{"info":"⇑⪆24220⨒⇑⪆134300=⇑⪆-313423","layer":3},{"info":"⇑⪆-1314112⪒⊣⊆⇑⪆-313423=⇑⪆2001230","layer":2},{"info":"NaN⇌⫙⪟⇑⪆2001230=NaN","layer":1},{"info":"⇑⪆14213124↱NaN=NaN","layer":0}]}
{"id":253,"expression_no_base_symbol":"(↥(⊲⪭$6259$))⊋≦⊧($2444$⪉⨛$4432$⪨≂$4193$⩇∃⫛$2637$)⨳⩥⨓(($4034$⫰⋱$1637$)⇄$4496$⊢$6694$)⪝(($1452$⋆⋳)⩌⋺($3433$≬⋮$2267$))","expression":"(↥(⊲⪭⇑⪆200014))⊋≦⊧(⇑⪆34234⪉⨛⇑⪆120212⪨≂⇑⪆113233⩇∃⫛⇑⪆41022)⨳⩥⨓((⇑⪆112114⫰⋱⇑⪆23022)⇄⇑⪆120441⊢⇑⪆203234)⪝((⇑⪆21302⋆⋳)⩌⋺(⇑⪆102213≬⋮⇑⪆33032))","highest_n_order":2,"priority_hierarchical_complexity":13,"normalized_expansion_degree":677,"operation_count":14,"complexity_ratio":48.357142857142854,"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":6259,"base":5}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2444,"base":5},"right_expr":{"type":"numeric_atoms","value":4432,"base":5}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":4193,"base":5},"right_expr":{"type":"numeric_atoms","value":2637,"base":5}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4034,"base":5},"right_expr":{"type":"numeric_atoms","value":1637,"base":5}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":4496,"base":5},"right_expr":{"type":"numeric_atoms","value":6694,"base":5}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1452,"base":5}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3433,"base":5},"right_expr":{"type":"numeric_atoms","value":2267,"base":5}}}}},"used_operators":["nCS4ZIUYfx","oRDoc9rAEX","A8NUZmVepG","k7HXdKtiEU","sdazOOVcIp","EWw2JM7wp4","1aApVXNlOP","wicAB68Tmb","3EYGwJThht","6o9Blt3TJ6","5twsqlHp2o","g7Hmc5v1ko","6MpZysEj17","kbkesczE7y"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","k8jYdgA6NY","i8ToyICDmI","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"⇑⪆140","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6259","layer":4},{"info":"compute unary expreesion, input=6259, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-6433","layer":3},{"info":"compute unary expreesion, input=-6433, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=44","layer":2},{"info":"number node, value=2444","layer":4},{"info":"number node, value=4432","layer":4},{"info":"compute binary expreesion, left_input=2444, right_input=4432, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3115","layer":3},{"info":"number node, value=4193","layer":4},{"info":"number node, value=2637","layer":4},{"info":"compute binary expreesion, left_input=4193, right_input=2637, 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=-1083","layer":3},{"info":"compute binary expreesion, left_input=3115, right_input=-1083, 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=8498","layer":2},{"info":"compute binary expreesion, left_input=44, right_input=8498, 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=4034","layer":4},{"info":"number node, value=1637","layer":4},{"info":"compute binary expreesion, left_input=4034, right_input=1637, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4001","layer":3},{"info":"number node, value=4496","layer":4},{"info":"number node, value=6694","layer":4},{"info":"compute binary expreesion, left_input=4496, right_input=6694, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-9236","layer":3},{"info":"compute binary expreesion, left_input=-4001, right_input=-9236, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=1452","layer":4},{"info":"compute unary expreesion, input=1452, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-2936","layer":3},{"info":"number node, value=3433","layer":4},{"info":"number node, value=2267","layer":4},{"info":"compute binary expreesion, left_input=3433, right_input=2267, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-2936, right_input=868, 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=1947","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1947, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=237, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=45","layer":0}],"base":5,"result_base":5,"text":"(↥(⊲⪭⇑⪆200014))⊋≦⊧(⇑⪆34234⪉⨛⇑⪆120212⪨≂⇑⪆113233⩇∃⫛⇑⪆41022)⨳⩥⨓((⇑⪆112114⫰⋱⇑⪆23022)⇄⇑⪆120441⊢⇑⪆203234)⪝((⇑⪆21302⋆⋳)⩌⋺(⇑⪆102213≬⋮⇑⪆33032))=⇑⪆140","reverse_text":"⇑⪆140=(↥(⊲⪭⇑⪆200014))⊋≦⊧(⇑⪆34234⪉⨛⇑⪆120212⪨≂⇑⪆113233⩇∃⫛⇑⪆41022)⨳⩥⨓((⇑⪆112114⫰⋱⇑⪆23022)⇄⇑⪆120441⊢⇑⪆203234)⪝((⇑⪆21302⋆⋳)⩌⋺(⇑⪆102213≬⋮⇑⪆33032))","cot":[{"info":"⊲⪭⇑⪆200014=⇑⪆-201213","layer":3},{"info":"↥⇑⪆-201213=⇑⪆134","layer":2},{"info":"⇑⪆34234⪉⨛⇑⪆120212=⇑⪆44430","layer":3},{"info":"⇑⪆113233⩇∃⫛⇑⪆41022=⇑⪆-13313","layer":3},{"info":"⇑⪆44430⪨≂⇑⪆-13313=⇑⪆232443","layer":2},{"info":"⇑⪆134⊋≦⊧⇑⪆232443=⇑⪆1232","layer":1},{"info":"⇑⪆112114⫰⋱⇑⪆23022=⇑⪆-112001","layer":3},{"info":"⇑⪆120441⊢⇑⪆203234=⇑⪆-243421","layer":3},{"info":"⇑⪆-112001⇄⇑⪆-243421=⇑⪆0","layer":2},{"info":"⇑⪆21302⋆⋳=⇑⪆-43221","layer":3},{"info":"⇑⪆102213≬⋮⇑⪆33032=⇑⪆11433","layer":3},{"info":"⇑⪆-43221⩌⋺⇑⪆11433=⇑⪆30242","layer":2},{"info":"⇑⪆0⪝⇑⪆30242=⇑⪆1422","layer":1},{"info":"⇑⪆1232⨳⩥⨓⇑⪆1422=⇑⪆140","layer":0}]}
{"id":254,"expression_no_base_symbol":"(⊬↢((⨦⪝$1013$)⪇≇⋚$3971$⪃⊛⇣$4459$))⇼⇔∾(⩷($1080$⋹⋡⊁$1697$⇋≉))","expression":"(⊬↢((⨦⪝⇑⪆13023)⪇≇⋚⇑⪆111341⪃⊛⇣⇑⪆120314))⇼⇔∾(⩷(⇑⪆13310⋹⋡⊁⇑⪆23242⇋≉))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":63221,"operation_count":8,"complexity_ratio":7902.625,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1013,"base":5}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3971,"base":5},"right_expr":{"type":"numeric_atoms","value":4459,"base":5}}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1080,"base":5},"right_expr":{"type":"numeric_atoms","value":1697,"base":5}}}}},"used_operators":["tifHPKVTfV","WPoGxAaPR1","3sJ7IOPOlU","SUjycxNXIR","rrgAzCduG9","1h0rLqGiFr","XIabStNQrY","As8RqfVLgs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","rysDP5nf3Z","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"⇑⪆-3230142","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1013","layer":4},{"info":"compute unary expreesion, input=1013, 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=3971","layer":4},{"info":"number node, value=4459","layer":4},{"info":"compute binary expreesion, left_input=3971, right_input=4459, 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=-1884, right_input=1234, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"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":1},{"info":"number node, value=1080","layer":4},{"info":"number node, value=1697","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=1697, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2447","layer":3},{"info":"compute unary expreesion, input=2447, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4796","layer":2},{"info":"compute unary expreesion, input=4796, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-57631","layer":1},{"info":"compute binary expreesion, left_input=-2584, right_input=-57631, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-55047","layer":0}],"base":5,"result_base":5,"text":"(⊬↢((⨦⪝⇑⪆13023)⪇≇⋚⇑⪆111341⪃⊛⇣⇑⪆120314))⇼⇔∾(⩷(⇑⪆13310⋹⋡⊁⇑⪆23242⇋≉))=⇑⪆-3230142","reverse_text":"⇑⪆-3230142=(⊬↢((⨦⪝⇑⪆13023)⪇≇⋚⇑⪆111341⪃⊛⇣⇑⪆120314))⇼⇔∾(⩷(⇑⪆13310⋹⋡⊁⇑⪆23242⇋≉))","cot":[{"info":"⨦⪝⇑⪆13023=⇑⪆-30014","layer":3},{"info":"⇑⪆111341⪃⊛⇣⇑⪆120314=⇑⪆14414","layer":3},{"info":"⇑⪆-30014⪇≇⋚⇑⪆14414=⇑⪆0","layer":2},{"info":"⊬↢⇑⪆0=⇑⪆-40314","layer":1},{"info":"⇑⪆13310⋹⋡⊁⇑⪆23242=⇑⪆34242","layer":3},{"info":"⇑⪆34242⇋≉=⇑⪆123141","layer":2},{"info":"⩷⇑⪆123141=⇑⪆-3321011","layer":1},{"info":"⇑⪆-40314⇼⇔∾⇑⪆-3321011=⇑⪆-3230142","layer":0}]}
{"id":255,"expression_no_base_symbol":"(↨⩢⫨($7180$⫡⨏$2228$))⩼⇪↪($2058$⫔⩽⩺$2322$)⨥⫆($6344$↛⩡⫤)≥⨤⩑(($8684$∟)⊬⨰($3413$⫉⨲⊜$1189$))⨑⩅≇(⨡↴$1540$⋝⋈⪟$3916$)","expression":"(↨⩢⫨(⇑⪆212210⫡⨏⇑⪆32403))⩼⇪↪(⇑⪆31213⫔⩽⩺⇑⪆33242)⨥⫆(⇑⪆200334↛⩡⫤)≥⨤⩑((⇑⪆234214∟)⊬⨰(⇑⪆102123⫉⨲⊜⇑⪆14224))⨑⩅≇(⨡↴⇑⪆22130⋝⋈⪟⇑⪆111131)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":31556,"operation_count":13,"complexity_ratio":2427.3846153846152,"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":7180,"base":5},"right_expr":{"type":"numeric_atoms","value":2228,"base":5}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2058,"base":5},"right_expr":{"type":"numeric_atoms","value":2322,"base":5}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":6344,"base":5}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":8684,"base":5}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3413,"base":5},"right_expr":{"type":"numeric_atoms","value":1189,"base":5}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1540,"base":5},"right_expr":{"type":"numeric_atoms","value":3916,"base":5}}}}},"used_operators":["gJLn6v0xnP","ocnLzx9CaJ","Z5CJsN7DuW","QMFrweE19q","yXekIHxTD4","i9eR4S00cU","FU0Cs4j7VP","h92wMvzauj","s3Fd5m9Dh2","hTbEZDJLEm","WhqkvtTD3t","liw5iZPkLH","2DDjHMKMc0"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","Tw270M8GLb","fu6greOZ01","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","P8v4zCKN1o","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7180","layer":4},{"info":"number node, value=2228","layer":4},{"info":"compute binary expreesion, left_input=7180, right_input=2228, 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=41139","layer":3},{"info":"compute unary expreesion, input=41139, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"number node, value=2058","layer":4},{"info":"number node, value=2322","layer":4},{"info":"compute binary expreesion, left_input=2058, right_input=2322, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=6344","layer":4},{"info":"compute unary expreesion, input=6344, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-954033","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-954033, 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=0, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=8684","layer":4},{"info":"compute unary expreesion, input=8684, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"number node, value=3413","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=3413, right_input=1189, 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=113, right_input=0, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=226","layer":2},{"info":"number node, value=1540","layer":4},{"info":"number node, value=3916","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=3916, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1540","layer":3},{"info":"compute unary expreesion, input=1540, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2589","layer":2},{"info":"compute binary expreesion, left_input=226, right_input=2589, 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=-678","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-678, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(↨⩢⫨(⇑⪆212210⫡⨏⇑⪆32403))⩼⇪↪(⇑⪆31213⫔⩽⩺⇑⪆33242)⨥⫆(⇑⪆200334↛⩡⫤)≥⨤⩑((⇑⪆234214∟)⊬⨰(⇑⪆102123⫉⨲⊜⇑⪆14224))⨑⩅≇(⨡↴⇑⪆22130⋝⋈⪟⇑⪆111131)=NaN","reverse_text":"NaN=(↨⩢⫨(⇑⪆212210⫡⨏⇑⪆32403))⩼⇪↪(⇑⪆31213⫔⩽⩺⇑⪆33242)⨥⫆(⇑⪆200334↛⩡⫤)≥⨤⩑((⇑⪆234214∟)⊬⨰(⇑⪆102123⫉⨲⊜⇑⪆14224))⨑⩅≇(⨡↴⇑⪆22130⋝⋈⪟⇑⪆111131)","cot":[{"info":"⇑⪆212210⫡⨏⇑⪆32403=⇑⪆2304024","layer":3},{"info":"↨⩢⫨⇑⪆2304024=⇑⪆0","layer":2},{"info":"⇑⪆31213⫔⩽⩺⇑⪆33242=NaN","layer":3},{"info":"⇑⪆200334↛⩡⫤=⇑⪆-221012113","layer":3},{"info":"NaN⨥⫆⇑⪆-221012113=NaN","layer":2},{"info":"⇑⪆0⩼⇪↪NaN=NaN","layer":1},{"info":"⇑⪆234214∟=⇑⪆423","layer":3},{"info":"⇑⪆102123⫉⨲⊜⇑⪆14224=⇑⪆0","layer":3},{"info":"⇑⪆423⊬⨰⇑⪆0=⇑⪆1401","layer":2},{"info":"⇑⪆22130⋝⋈⪟⇑⪆111131=⇑⪆22130","layer":3},{"info":"⨡↴⇑⪆22130=⇑⪆40324","layer":2},{"info":"⇑⪆1401⨑⩅≇⇑⪆40324=⇑⪆-10203","layer":1},{"info":"NaN≥⨤⩑⇑⪆-10203=NaN","layer":0}]}
{"id":256,"expression_no_base_symbol":"(⊊≼∋($1345$∊∟⩊$3383$))∊∟⩊(↩$1165$)↞⋁($4527$⩒⫫$1020$)↓(($7391$⩼⇪↪$4373$⫰⋱(↥$1475$))∀⇚≩($3806$⪔⊥$2600$)↹⊜$6078$↢$1387$)","expression":"(⊊≼∋(⇑⪆20340∊∟⩊⇑⪆102013))∊∟⩊(↩⇑⪆14130)↞⋁(⇑⪆121102⩒⫫⇑⪆13040)↓((⇑⪆214031⩼⇪↪⇑⪆114443⫰⋱(↥⇑⪆21400))∀⇚≩(⇑⪆110211⪔⊥⇑⪆40400)↹⊜⇑⪆143303↢⇑⪆21022)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":120531,"operation_count":14,"complexity_ratio":8609.357142857143,"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":1345,"base":5},"right_expr":{"type":"numeric_atoms","value":3383,"base":5}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1165,"base":5}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":4527,"base":5},"right_expr":{"type":"numeric_atoms","value":1020,"base":5}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":7391,"base":5},"right_expr":{"type":"numeric_atoms","value":4373,"base":5}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1475,"base":5}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3806,"base":5},"right_expr":{"type":"numeric_atoms","value":2600,"base":5}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":6078,"base":5},"right_expr":{"type":"numeric_atoms","value":1387,"base":5}}}}},"used_operators":["Af076pWI7l","ddLRYrp01A","FWz7pXsQhA","RqrPlJkxDo","jLgFTUHLKL","KFSx94NKJn","LRNGc0VcxI","6o9Blt3TJ6","ocnLzx9CaJ","A8NUZmVepG","9bazX3JMtO","HJ9erzHUuu","WR6HLWljOP"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","B5M0gjZbta","jCPkEVoL5K","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","X99M06cbEe","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"⇑⪆-1014","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1345","layer":4},{"info":"number node, value=3383","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=3383, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3383","layer":3},{"info":"compute unary expreesion, input=3383, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":2},{"info":"number node, value=1165","layer":4},{"info":"compute unary expreesion, input=1165, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6540","layer":3},{"info":"number node, value=4527","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=4527, right_input=1020, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4225","layer":3},{"info":"compute binary expreesion, left_input=-6540, right_input=4225, 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=-447, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=12","layer":1},{"info":"number node, value=7391","layer":4},{"info":"number node, value=4373","layer":4},{"info":"compute binary expreesion, left_input=7391, right_input=4373, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-16612","layer":3},{"info":"number node, value=1475","layer":4},{"info":"compute unary expreesion, input=1475, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=47","layer":3},{"info":"compute binary expreesion, left_input=-16612, right_input=47, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=16645","layer":2},{"info":"number node, value=3806","layer":4},{"info":"number node, value=2600","layer":4},{"info":"compute binary expreesion, left_input=3806, right_input=2600, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=9825","layer":3},{"info":"number node, value=6078","layer":4},{"info":"number node, value=1387","layer":4},{"info":"compute binary expreesion, left_input=6078, right_input=1387, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=5594","layer":3},{"info":"compute binary expreesion, left_input=9825, right_input=5594, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-2822","layer":2},{"info":"compute binary expreesion, left_input=16645, right_input=-2822, 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=12, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":5,"result_base":5,"text":"(⊊≼∋(⇑⪆20340∊∟⩊⇑⪆102013))∊∟⩊(↩⇑⪆14130)↞⋁(⇑⪆121102⩒⫫⇑⪆13040)↓((⇑⪆214031⩼⇪↪⇑⪆114443⫰⋱(↥⇑⪆21400))∀⇚≩(⇑⪆110211⪔⊥⇑⪆40400)↹⊜⇑⪆143303↢⇑⪆21022)=⇑⪆-1014","reverse_text":"⇑⪆-1014=(⊊≼∋(⇑⪆20340∊∟⩊⇑⪆102013))∊∟⩊(↩⇑⪆14130)↞⋁(⇑⪆121102⩒⫫⇑⪆13040)↓((⇑⪆214031⩼⇪↪⇑⪆114443⫰⋱(↥⇑⪆21400))∀⇚≩(⇑⪆110211⪔⊥⇑⪆40400)↹⊜⇑⪆143303↢⇑⪆21022)","cot":[{"info":"⇑⪆20340∊∟⩊⇑⪆102013=⇑⪆102013","layer":3},{"info":"⊊≼∋⇑⪆102013=⇑⪆-3242","layer":2},{"info":"↩⇑⪆14130=⇑⪆-202130","layer":3},{"info":"⇑⪆121102⩒⫫⇑⪆13040=⇑⪆113400","layer":3},{"info":"⇑⪆-202130↞⋁⇑⪆113400=NaN","layer":2},{"info":"⇑⪆-3242∊∟⩊NaN=⇑⪆22","layer":1},{"info":"⇑⪆214031⩼⇪↪⇑⪆114443=⇑⪆-1012422","layer":3},{"info":"↥⇑⪆21400=⇑⪆142","layer":3},{"info":"⇑⪆-1012422⫰⋱⇑⪆142=⇑⪆1013040","layer":2},{"info":"⇑⪆110211⪔⊥⇑⪆40400=⇑⪆303300","layer":3},{"info":"⇑⪆143303↢⇑⪆21022=⇑⪆134334","layer":3},{"info":"⇑⪆303300↹⊜⇑⪆134334=⇑⪆-42242","layer":2},{"info":"⇑⪆1013040∀⇚≩⇑⪆-42242=NaN","layer":1},{"info":"⇑⪆22↓NaN=⇑⪆-1014","layer":0}]}
{"id":257,"expression_no_base_symbol":"($1542$≀⩗∶$5103$)⇴(⇈$1623$)⊾⪯⋞(⇺⋃($2089$⊉≛↸$4269$))⪒((⫓⪴$1891$⪚$1861$)≑≱⪘)","expression":"(⇑⪆22132≀⩗∶⇑⪆130403)⇴(⇈⇑⪆22443)⊾⪯⋞(⇺⋃(⇑⪆31324⊉≛↸⇑⪆114034))⪒((⫓⪴⇑⪆30031⪚⇑⪆24421)≑≱⪘)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1583,"operation_count":10,"complexity_ratio":158.3,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1542,"base":5},"right_expr":{"type":"numeric_atoms","value":5103,"base":5}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1623,"base":5}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2089,"base":5},"right_expr":{"type":"numeric_atoms","value":4269,"base":5}}}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1891,"base":5},"right_expr":{"type":"numeric_atoms","value":1861,"base":5}}}}},"used_operators":["f6k1SAg4EE","HK0tfVPux8","4JB6nKBMSY","8INZBEW696","SLLxy00UIr","E5v5B3UAjG","DZ8iAZOCBD","tGSeddj7UK","eLxqMNBOBk","HrjLwUk87U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","sdazOOVcIp","NTOWxs364D","COABgblf1C","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","9HNa5Wba9A","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1542","layer":4},{"info":"number node, value=5103","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=5103, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-9","layer":3},{"info":"number node, value=1623","layer":4},{"info":"compute unary expreesion, input=1623, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=-447, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-1334","layer":2},{"info":"number node, value=2089","layer":4},{"info":"number node, value=4269","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=4269, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4178","layer":3},{"info":"compute unary expreesion, input=4178, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1334, 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=1891","layer":4},{"info":"number node, value=1861","layer":4},{"info":"compute binary expreesion, left_input=1891, right_input=1861, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-296","layer":3},{"info":"compute unary expreesion, input=-296, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=87616","layer":2},{"info":"compute unary expreesion, input=87616, 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=2274381","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2274381, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆22132≀⩗∶⇑⪆130403)⇴(⇈⇑⪆22443)⊾⪯⋞(⇺⋃(⇑⪆31324⊉≛↸⇑⪆114034))⪒((⫓⪴⇑⪆30031⪚⇑⪆24421)≑≱⪘)=NaN","reverse_text":"NaN=(⇑⪆22132≀⩗∶⇑⪆130403)⇴(⇈⇑⪆22443)⊾⪯⋞(⇺⋃(⇑⪆31324⊉≛↸⇑⪆114034))⪒((⫓⪴⇑⪆30031⪚⇑⪆24421)≑≱⪘)","cot":[{"info":"⇑⪆22132≀⩗∶⇑⪆130403=⇑⪆-14","layer":3},{"info":"⇈⇑⪆22443=⇑⪆-3242","layer":3},{"info":"⇑⪆-14⇴⇑⪆-3242=⇑⪆-20314","layer":2},{"info":"⇑⪆31324⊉≛↸⇑⪆114034=⇑⪆113203","layer":3},{"info":"⇺⋃⇑⪆113203=NaN","layer":2},{"info":"⇑⪆-20314⊾⪯⋞NaN=NaN","layer":1},{"info":"⇑⪆30031⪚⇑⪆24421=⇑⪆-2141","layer":3},{"info":"⫓⪴⇑⪆-2141=⇑⪆10300431","layer":2},{"info":"⇑⪆10300431≑≱⪘=⇑⪆1040240011","layer":1},{"info":"NaN⪒⇑⪆1040240011=NaN","layer":0}]}
{"id":258,"expression_no_base_symbol":"≸≮(⊗(≇⪴($2596$⪕$6771$)))","expression":"≸≮(⊗(≇⪴(⇑⪆40341⪕⇑⪆204041)))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65,"operation_count":4,"complexity_ratio":16.25,"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":2596,"base":5},"right_expr":{"type":"numeric_atoms","value":6771,"base":5}}}}},"used_operators":["AljMvE3RRm","RhiyfpczSx","zoVPnxeHJ3","umQnsF7QlU"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⇑⪆214013","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2596","layer":4},{"info":"number node, value=6771","layer":4},{"info":"compute binary expreesion, left_input=2596, right_input=6771, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute unary expreesion, input=-55, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-220","layer":2},{"info":"compute unary expreesion, input=-220, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-440","layer":1},{"info":"compute unary expreesion, input=-440, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=7383","layer":0}],"base":5,"result_base":5,"text":"≸≮(⊗(≇⪴(⇑⪆40341⪕⇑⪆204041)))=⇑⪆214013","reverse_text":"⇑⪆214013=≸≮(⊗(≇⪴(⇑⪆40341⪕⇑⪆204041)))","cot":[{"info":"⇑⪆40341⪕⇑⪆204041=⇑⪆-210","layer":3},{"info":"≇⪴⇑⪆-210=⇑⪆-1340","layer":2},{"info":"⊗⇑⪆-1340=⇑⪆-3230","layer":1},{"info":"≸≮⇑⪆-3230=⇑⪆214013","layer":0}]}
{"id":259,"expression_no_base_symbol":"(($5968$⪒$3221$)⋹⋡⊁($3134$≨$1096$)↬⩅∪)⫸⊐($3214$⋓$1737$/$1196$∊∟⩊$3209$)⪃⊛⇣($2737$⨽∌$3708$↑)","expression":"((⇑⪆142333⪒⇑⪆100341)⋹⋡⊁(⇑⪆100014≨⇑⪆13341)↬⩅∪)⫸⊐(⇑⪆100324⋓⇑⪆23422/⇑⪆14241∊∟⩊⇑⪆100314)⪃⊛⇣(⇑⪆41422⨽∌⇑⪆104313↑)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":754,"operation_count":11,"complexity_ratio":68.54545454545455,"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":5968,"base":5},"right_expr":{"type":"numeric_atoms","value":3221,"base":5}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3134,"base":5},"right_expr":{"type":"numeric_atoms","value":1096,"base":5}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3214,"base":5},"right_expr":{"type":"numeric_atoms","value":1737,"base":5}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1196,"base":5},"right_expr":{"type":"numeric_atoms","value":3209,"base":5}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2737,"base":5},"right_expr":{"type":"numeric_atoms","value":3708,"base":5}}}}},"used_operators":["mqXw5SEYmG","VJ330n2nnx","As8RqfVLgs","f6k1SAg4EE","0KMCeP1Jsh","rrgAzCduG9","XhwjNDsVaA","T2fj7uvVaJ","ddLRYrp01A","BThhyOhh10","9samAPKr6k"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⇑⪆12333","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5968","layer":4},{"info":"number node, value=3221","layer":4},{"info":"compute binary expreesion, left_input=5968, right_input=3221, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9189","layer":3},{"info":"number node, value=3134","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=3134, right_input=1096, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-28864","layer":3},{"info":"compute binary expreesion, left_input=-9189, right_input=-28864, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=146762","layer":2},{"info":"compute unary expreesion, input=146762, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-440286","layer":1},{"info":"number node, value=3214","layer":4},{"info":"number node, value=1737","layer":4},{"info":"compute binary expreesion, left_input=3214, right_input=1737, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1196","layer":4},{"info":"number node, value=3209","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=3209, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3209","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3209, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=2737","layer":4},{"info":"number node, value=3708","layer":4},{"info":"compute binary expreesion, left_input=2737, right_input=3708, 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 = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=222, 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=-440286, right_input=1234, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆142333⪒⇑⪆100341)⋹⋡⊁(⇑⪆100014≨⇑⪆13341)↬⩅∪)⫸⊐(⇑⪆100324⋓⇑⪆23422/⇑⪆14241∊∟⩊⇑⪆100314)⪃⊛⇣(⇑⪆41422⨽∌⇑⪆104313↑)=⇑⪆12333","reverse_text":"⇑⪆12333=((⇑⪆142333⪒⇑⪆100341)⋹⋡⊁(⇑⪆100014≨⇑⪆13341)↬⩅∪)⫸⊐(⇑⪆100324⋓⇑⪆23422/⇑⪆14241∊∟⩊⇑⪆100314)⪃⊛⇣(⇑⪆41422⨽∌⇑⪆104313↑)","cot":[{"info":"⇑⪆142333⪒⇑⪆100341=⇑⪆-243224","layer":3},{"info":"⇑⪆100014≨⇑⪆13341=⇑⪆-1410424","layer":3},{"info":"⇑⪆-243224⋹⋡⊁⇑⪆-1410424=⇑⪆14144022","layer":2},{"info":"⇑⪆14144022↬⩅∪=⇑⪆-103042121","layer":1},{"info":"⇑⪆100324⋓⇑⪆23422=⇑⪆0","layer":3},{"info":"⇑⪆14241∊∟⩊⇑⪆100314=⇑⪆100314","layer":3},{"info":"⇑⪆0/⇑⪆100314=⇑⪆0","layer":2},{"info":"⇑⪆41422⨽∌⇑⪆104313=⇑⪆0","layer":3},{"info":"⇑⪆0↑=⇑⪆1342","layer":2},{"info":"⇑⪆0⪃⊛⇣⇑⪆1342=⇑⪆14414","layer":1},{"info":"⇑⪆-103042121⫸⊐⇑⪆14414=⇑⪆12333","layer":0}]}
{"id":260,"expression_no_base_symbol":"↓⇌(($3545$↓⨍⋜)⋛($3420$⨔≚≋$2983$)↙($2387$⊹∫⫚$1110$⫸⊐(⇜$2578$)))","expression":"↓⇌((⇑⪆103140↓⨍⋜)⋛(⇑⪆102140⨔≚≋⇑⪆43413)↙(⇑⪆34022⊹∫⫚⇑⪆13420⫸⊐(⇜⇑⪆40303)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":921,"operation_count":8,"complexity_ratio":115.125,"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":3545,"base":5}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3420,"base":5},"right_expr":{"type":"numeric_atoms","value":2983,"base":5}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2387,"base":5},"right_expr":{"type":"numeric_atoms","value":1110,"base":5}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":2578,"base":5}}}}},"used_operators":["PxpmPgHHJV","yyfyN0ffXY","YbUVn0Rbpy","3DVzLFNsE9","Z57zeUYC9z","mqXw5SEYmG","uWAJUKEvyW","lFBm8KRb8F"],"dependent_operators":["23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","tmPS8pqC7x","DpFCA1CohY","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr"],"result":"⇑⪆-14131024","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3545","layer":4},{"info":"compute unary expreesion, input=3545, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"number node, value=3420","layer":4},{"info":"number node, value=2983","layer":4},{"info":"compute binary expreesion, left_input=3420, right_input=2983, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=6590, right_input=9872, 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=-72882","layer":2},{"info":"number node, value=2387","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=2387, right_input=1110, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-312","layer":3},{"info":"number node, value=2578","layer":4},{"info":"compute unary expreesion, input=2578, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-21032","layer":3},{"info":"compute binary expreesion, left_input=-312, right_input=-21032, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=172","layer":2},{"info":"compute binary expreesion, left_input=-72882, right_input=172, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-72882","layer":1},{"info":"compute unary expreesion, input=-72882, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-145764","layer":0}],"base":5,"result_base":5,"text":"↓⇌((⇑⪆103140↓⨍⋜)⋛(⇑⪆102140⨔≚≋⇑⪆43413)↙(⇑⪆34022⊹∫⫚⇑⪆13420⫸⊐(⇜⇑⪆40303)))=⇑⪆-14131024","reverse_text":"⇑⪆-14131024=↓⇌((⇑⪆103140↓⨍⋜)⋛(⇑⪆102140⨔≚≋⇑⪆43413)↙(⇑⪆34022⊹∫⫚⇑⪆13420⫸⊐(⇜⇑⪆40303)))","cot":[{"info":"⇑⪆103140↓⨍⋜=⇑⪆202330","layer":3},{"info":"⇑⪆102140⨔≚≋⇑⪆43413=⇑⪆303442","layer":3},{"info":"⇑⪆202330⋛⇑⪆303442=⇑⪆-4313012","layer":2},{"info":"⇑⪆34022⊹∫⫚⇑⪆13420=⇑⪆-2222","layer":3},{"info":"⇜⇑⪆40303=⇑⪆-1133112","layer":3},{"info":"⇑⪆-2222⫸⊐⇑⪆-1133112=⇑⪆1142","layer":2},{"info":"⇑⪆-4313012↙⇑⪆1142=⇑⪆-4313012","layer":1},{"info":"↓⇌⇑⪆-4313012=⇑⪆-14131024","layer":0}]}
{"id":261,"expression_no_base_symbol":"((⫎≠⋺$6096$)⫲≸⪮($1397$⨒$2147$))⊲⩕⊾(⊆⋠(≸≮$6857$))⋳⪒($1277$↼⊘⨖$6621$⨰$1471$⩌⋺$1824$)⇴($7436$⩧⪆$4136$)⇤(⪹$1030$)","expression":"((⫎≠⋺⇑⪆143341)⫲≸⪮(⇑⪆21042⨒⇑⪆32042))⊲⩕⊾(⊆⋠(≸≮⇑⪆204412))⋳⪒(⇑⪆20102↼⊘⨖⇑⪆202441⨰⇑⪆21341⩌⋺⇑⪆24244)⇴(⇑⪆214221⩧⪆⇑⪆113021)⇤(⪹⇑⪆13110)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":24252,"operation_count":14,"complexity_ratio":1732.2857142857142,"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":6096,"base":5}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1397,"base":5},"right_expr":{"type":"numeric_atoms","value":2147,"base":5}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":6857,"base":5}}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1277,"base":5},"right_expr":{"type":"numeric_atoms","value":6621,"base":5}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1471,"base":5},"right_expr":{"type":"numeric_atoms","value":1824,"base":5}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":7436,"base":5},"right_expr":{"type":"numeric_atoms","value":4136,"base":5}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1030,"base":5}}}}},"used_operators":["12rbrZMWeM","DmTXOeWf9t","P3lXMJvFrc","LYeZOJ0nQG","y75s1iXyHd","EBhcHTkKd8","AljMvE3RRm","4JB6nKBMSY","eewbuw0ToL","bPywburJMS","g7Hmc5v1ko","YSKBFp38Pu","Ikt5ks8PT7","USyYr0JgAa"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eewbuw0ToL","t8gj7n24qd","tifHPKVTfV"],"result":"⇑⪆-24230343","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6096","layer":4},{"info":"compute unary expreesion, input=6096, 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=1397","layer":4},{"info":"number node, value=2147","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=2147, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-8010","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8010, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=0","layer":2},{"info":"number node, value=6857","layer":4},{"info":"compute unary expreesion, input=6857, 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 = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3979, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-36420","layer":1},{"info":"number node, value=1277","layer":4},{"info":"number node, value=6621","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=6621, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=13020","layer":3},{"info":"number node, value=1471","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=1824, 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=-3416","layer":3},{"info":"compute binary expreesion, left_input=13020, right_input=-3416, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=16446","layer":2},{"info":"number node, value=7436","layer":4},{"info":"number node, value=4136","layer":4},{"info":"compute binary expreesion, left_input=7436, right_input=4136, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4136","layer":3},{"info":"number node, value=1030","layer":4},{"info":"compute unary expreesion, input=1030, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-850","layer":3},{"info":"compute binary expreesion, left_input=-4136, right_input=-850, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=27778","layer":2},{"info":"compute binary expreesion, left_input=16446, right_input=27778, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=153846","layer":1},{"info":"compute binary expreesion, left_input=-36420, right_input=153846, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-226973","layer":0}],"base":5,"result_base":5,"text":"((⫎≠⋺⇑⪆143341)⫲≸⪮(⇑⪆21042⨒⇑⪆32042))⊲⩕⊾(⊆⋠(≸≮⇑⪆204412))⋳⪒(⇑⪆20102↼⊘⨖⇑⪆202441⨰⇑⪆21341⩌⋺⇑⪆24244)⇴(⇑⪆214221⩧⪆⇑⪆113021)⇤(⪹⇑⪆13110)=⇑⪆-24230343","reverse_text":"⇑⪆-24230343=((⫎≠⋺⇑⪆143341)⫲≸⪮(⇑⪆21042⨒⇑⪆32042))⊲⩕⊾(⊆⋠(≸≮⇑⪆204412))⋳⪒(⇑⪆20102↼⊘⨖⇑⪆202441⨰⇑⪆21341⩌⋺⇑⪆24244)⇴(⇑⪆214221⩧⪆⇑⪆113021)⇤(⪹⇑⪆13110)","cot":[{"info":"⫎≠⋺⇑⪆143341=⇑⪆0","layer":3},{"info":"⇑⪆21042⨒⇑⪆32042=⇑⪆-224020","layer":3},{"info":"⇑⪆0⫲≸⪮⇑⪆-224020=⇑⪆0","layer":2},{"info":"≸≮⇑⪆204412=NaN","layer":3},{"info":"⊆⋠NaN=⇑⪆111404","layer":2},{"info":"⇑⪆0⊲⩕⊾⇑⪆111404=⇑⪆-2131140","layer":1},{"info":"⇑⪆20102↼⊘⨖⇑⪆202441=⇑⪆404040","layer":3},{"info":"⇑⪆21341⩌⋺⇑⪆24244=⇑⪆-102131","layer":3},{"info":"⇑⪆404040⨰⇑⪆-102131=⇑⪆1011241","layer":2},{"info":"⇑⪆214221⩧⪆⇑⪆113021=⇑⪆-113021","layer":3},{"info":"⪹⇑⪆13110=⇑⪆-11400","layer":3},{"info":"⇑⪆-113021⇤⇑⪆-11400=⇑⪆1342103","layer":2},{"info":"⇑⪆1011241⇴⇑⪆1342103=⇑⪆14410341","layer":1},{"info":"⇑⪆-2131140⋳⪒⇑⪆14410341=⇑⪆-24230343","layer":0}]}
{"id":262,"expression_no_base_symbol":"(($1231$∀⇚≩$3167$≳⇉$2683$⋹⋡⊁$1124$)⪭($4147$⨚$6608$⋫))⫘(($5667$⪕$1133$∽($2955$⋫))⪪($2349$⇣⩺⋵$6249$⫥∨⫟($3234$⨑≵⋬$4505$)))","expression":"((⇑⪆14411∀⇚≩⇑⪆100132≳⇉⇑⪆41213⋹⋡⊁⇑⪆13444)⪭(⇑⪆113042⨚⇑⪆202413⋫))⫘((⇑⪆140132⪕⇑⪆14013∽(⇑⪆43310⋫))⪪(⇑⪆33344⇣⩺⋵⇑⪆144444⫥∨⫟(⇑⪆100414⨑≵⋬⇑⪆121010)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":94114,"operation_count":14,"complexity_ratio":6722.428571428572,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1231,"base":5},"right_expr":{"type":"numeric_atoms","value":3167,"base":5}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2683,"base":5},"right_expr":{"type":"numeric_atoms","value":1124,"base":5}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":4147,"base":5},"right_expr":{"type":"numeric_atoms","value":6608,"base":5}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":5667,"base":5},"right_expr":{"type":"numeric_atoms","value":1133,"base":5}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2955,"base":5}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2349,"base":5},"right_expr":{"type":"numeric_atoms","value":6249,"base":5}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3234,"base":5},"right_expr":{"type":"numeric_atoms","value":4505,"base":5}}}}},"used_operators":["48vC8HMD2b","j9kHMeSvPp","V0kx6qeWkN","LRNGc0VcxI","As8RqfVLgs","JL8yIekQnl","nREPSIbpBE","xD69zh8xqp","y4ImoPnbV5","umQnsF7QlU","KYD54nUTWz","F4yD0voBRQ","XnXgA4xnOs"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","COABgblf1C","xUOZtlo3hN","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","X99M06cbEe","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","tmPS8pqC7x","BjRHVeLaeN","12rbrZMWeM","FU0Cs4j7VP","JclMnS0uGI","NTOWxs364D","QMFrweE19q","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","8HhzD0ZcuI","rGHVDoGpnC","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⇑⪆401121","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1231","layer":4},{"info":"number node, value=3167","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=3167, 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=2683","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=2683, right_input=1124, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1874","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1874, 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=4147","layer":4},{"info":"number node, value=6608","layer":4},{"info":"compute binary expreesion, left_input=4147, right_input=6608, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-17204","layer":3},{"info":"compute unary expreesion, input=-17204, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-17204","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-17204, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"number node, value=5667","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=5667, right_input=1133, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=11102","layer":3},{"info":"number node, value=2955","layer":4},{"info":"compute unary expreesion, input=2955, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2955","layer":3},{"info":"compute binary expreesion, left_input=11102, right_input=2955, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-64197","layer":2},{"info":"number node, value=2349","layer":4},{"info":"number node, value=6249","layer":4},{"info":"compute binary expreesion, left_input=2349, right_input=6249, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-3040","layer":3},{"info":"number node, value=3234","layer":4},{"info":"number node, value=4505","layer":4},{"info":"compute binary expreesion, left_input=3234, right_input=4505, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-13986","layer":3},{"info":"compute binary expreesion, left_input=-3040, right_input=-13986, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-64197, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":1},{"info":"compute binary expreesion, left_input=5, right_input=-6206, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=12661","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆14411∀⇚≩⇑⪆100132≳⇉⇑⪆41213⋹⋡⊁⇑⪆13444)⪭(⇑⪆113042⨚⇑⪆202413⋫))⫘((⇑⪆140132⪕⇑⪆14013∽(⇑⪆43310⋫))⪪(⇑⪆33344⇣⩺⋵⇑⪆144444⫥∨⫟(⇑⪆100414⨑≵⋬⇑⪆121010)))=⇑⪆401121","reverse_text":"⇑⪆401121=((⇑⪆14411∀⇚≩⇑⪆100132≳⇉⇑⪆41213⋹⋡⊁⇑⪆13444)⪭(⇑⪆113042⨚⇑⪆202413⋫))⫘((⇑⪆140132⪕⇑⪆14013∽(⇑⪆43310⋫))⪪(⇑⪆33344⇣⩺⋵⇑⪆144444⫥∨⫟(⇑⪆100414⨑≵⋬⇑⪆121010)))","cot":[{"info":"⇑⪆14411∀⇚≩⇑⪆100132=NaN","layer":3},{"info":"⇑⪆41213⋹⋡⊁⇑⪆13444=⇑⪆24444","layer":3},{"info":"NaN≳⇉⇑⪆24444=NaN","layer":2},{"info":"⇑⪆113042⨚⇑⪆202413=⇑⪆-1022304","layer":3},{"info":"⇑⪆-1022304⋫=⇑⪆-1022304","layer":2},{"info":"NaN⪭⇑⪆-1022304=⇑⪆10","layer":1},{"info":"⇑⪆140132⪕⇑⪆14013=⇑⪆323402","layer":3},{"info":"⇑⪆43310⋫=⇑⪆43310","layer":3},{"info":"⇑⪆323402∽⇑⪆43310=⇑⪆-4023242","layer":2},{"info":"⇑⪆33344⇣⩺⋵⇑⪆144444=⇑⪆-44130","layer":3},{"info":"⇑⪆100414⨑≵⋬⇑⪆121010=⇑⪆-421421","layer":3},{"info":"⇑⪆-44130⫥∨⫟⇑⪆-421421=NaN","layer":2},{"info":"⇑⪆-4023242⪪NaN=⇑⪆-144311","layer":1},{"info":"⇑⪆10⫘⇑⪆-144311=⇑⪆401121","layer":0}]}
{"id":263,"expression_no_base_symbol":"(($1814$⨒$2484$)⇣⩺⋵($4665$⪠⩆⊳))⨿(($4970$∀⊥⇻)⩨(⪛⨧$2372$))⪥(↥≼⋛($4029$⩧⪆$4058$)⨸(≘$1197$))","expression":"((⇑⪆24224⨒⇑⪆34414)⇣⩺⋵(⇑⪆122130⪠⩆⊳))⨿((⇑⪆124340∀⊥⇻)⩨(⪛⨧⇑⪆33442))⪥(↥≼⋛(⇑⪆112104⩧⪆⇑⪆112213)⨸(≘⇑⪆14242))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":130859,"operation_count":12,"complexity_ratio":10904.916666666666,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1814,"base":5},"right_expr":{"type":"numeric_atoms","value":2484,"base":5}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4665,"base":5}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":4970,"base":5}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2372,"base":5}}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":4029,"base":5},"right_expr":{"type":"numeric_atoms","value":4058,"base":5}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1197,"base":5}}}}},"used_operators":["QbnwKVWMIQ","abYXlopdE0","F4yD0voBRQ","y75s1iXyHd","JLbD19bQDL","2DlMacCsIx","k4iM1060OG","6NJAcO2OWT","x5lMkHmzsq","KmoU8R5UQR","Ikt5ks8PT7","tcjXMdvYtA"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","eewbuw0ToL","t8gj7n24qd","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X"],"result":"⇑⪆-24143","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1814","layer":4},{"info":"number node, value=2484","layer":4},{"info":"compute binary expreesion, left_input=1814, right_input=2484, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-10512","layer":3},{"info":"number node, value=4665","layer":4},{"info":"compute unary expreesion, input=4665, 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=-10512, right_input=0, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-41986","layer":2},{"info":"number node, value=4970","layer":4},{"info":"compute unary expreesion, input=4970, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"number node, value=2372","layer":4},{"info":"compute unary expreesion, input=2372, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=6145","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6145, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-41986, 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=4029","layer":4},{"info":"number node, value=4058","layer":4},{"info":"compute binary expreesion, left_input=4029, right_input=4058, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4058","layer":3},{"info":"number node, value=1197","layer":4},{"info":"compute unary expreesion, input=1197, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=2640169","layer":3},{"info":"compute binary expreesion, left_input=-4058, right_input=2640169, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=275133202","layer":2},{"info":"compute unary expreesion, input=275133202, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-113, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆24224⨒⇑⪆34414)⇣⩺⋵(⇑⪆122130⪠⩆⊳))⨿((⇑⪆124340∀⊥⇻)⩨(⪛⨧⇑⪆33442))⪥(↥≼⋛(⇑⪆112104⩧⪆⇑⪆112213)⨸(≘⇑⪆14242))=⇑⪆-24143","reverse_text":"⇑⪆-24143=((⇑⪆24224⨒⇑⪆34414)⇣⩺⋵(⇑⪆122130⪠⩆⊳))⨿((⇑⪆124340∀⊥⇻)⩨(⪛⨧⇑⪆33442))⪥(↥≼⋛(⇑⪆112104⩧⪆⇑⪆112213)⨸(≘⇑⪆14242))","cot":[{"info":"⇑⪆24224⨒⇑⪆34414=⇑⪆-314022","layer":3},{"info":"⇑⪆122130⪠⩆⊳=⇑⪆0","layer":3},{"info":"⇑⪆-314022⇣⩺⋵⇑⪆0=⇑⪆-2320421","layer":2},{"info":"⇑⪆124340∀⊥⇻=⇑⪆0","layer":3},{"info":"⪛⨧⇑⪆33442=⇑⪆144040","layer":3},{"info":"⇑⪆0⩨⇑⪆144040=NaN","layer":2},{"info":"⇑⪆-2320421⨿NaN=⇑⪆232","layer":1},{"info":"⇑⪆112104⩧⪆⇑⪆112213=⇑⪆-112213","layer":3},{"info":"≘⇑⪆14242=⇑⪆1133441134","layer":3},{"info":"⇑⪆-112213⨸⇑⪆1133441134=⇑⪆1030413230302","layer":2},{"info":"↥≼⋛⇑⪆1030413230302=⇑⪆-423","layer":1},{"info":"⇑⪆232⪥⇑⪆-423=⇑⪆-24143","layer":0}]}
{"id":264,"expression_no_base_symbol":"(($6537$∑⇟⊟$2111$)⪟⇏$4869$⪃⊛⇣$3136$%(($6352$⋭≵$5814$)⨉))⩍⋽⫝̸(((⇤←$1687$)⫲≸⪮$3676$⊝⪿⪼$1631$)⨱∎)","expression":"((⇑⪆202122∑⇟⊟⇑⪆31421)⪟⇏⇑⪆123434⪃⊛⇣⇑⪆100021%((⇑⪆200402⋭≵⇑⪆141224)⨉))⩍⋽⫝̸(((⇤←⇑⪆23222)⫲≸⪮⇑⪆104201⊝⪿⪼⇑⪆23011)⨱∎)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7885,"operation_count":11,"complexity_ratio":716.8181818181819,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6537,"base":5},"right_expr":{"type":"numeric_atoms","value":2111,"base":5}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":4869,"base":5},"right_expr":{"type":"numeric_atoms","value":3136,"base":5}}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":6352,"base":5},"right_expr":{"type":"numeric_atoms","value":5814,"base":5}}}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1687,"base":5}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3676,"base":5},"right_expr":{"type":"numeric_atoms","value":1631,"base":5}}}}},"used_operators":["BiWNJpBvwn","k8jYdgA6NY","GODebY97qR","U7g4x0WXJJ","rrgAzCduG9","aMUSaJuDRU","jBncVCNhdl","MmTdOpaElr","P3lXMJvFrc","jfAgQ2OQeM","3Oe9XWJUTD"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⇑⪆-1314","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6537","layer":4},{"info":"number node, value=2111","layer":4},{"info":"compute binary expreesion, left_input=6537, right_input=2111, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4869","layer":4},{"info":"number node, value=3136","layer":4},{"info":"compute binary expreesion, left_input=4869, right_input=3136, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=nan","layer":2},{"info":"number node, value=6352","layer":4},{"info":"number node, value=5814","layer":4},{"info":"compute binary expreesion, left_input=6352, right_input=5814, 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 = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=2462","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2462, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1687","layer":4},{"info":"compute unary expreesion, input=1687, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-7069","layer":3},{"info":"number node, value=3676","layer":4},{"info":"number node, value=1631","layer":4},{"info":"compute binary expreesion, left_input=3676, right_input=1631, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=54370","layer":3},{"info":"compute binary expreesion, left_input=-7069, right_input=54370, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=7069","layer":2},{"info":"compute unary expreesion, input=7069, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-209","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆202122∑⇟⊟⇑⪆31421)⪟⇏⇑⪆123434⪃⊛⇣⇑⪆100021%((⇑⪆200402⋭≵⇑⪆141224)⨉))⩍⋽⫝̸(((⇤←⇑⪆23222)⫲≸⪮⇑⪆104201⊝⪿⪼⇑⪆23011)⨱∎)=⇑⪆-1314","reverse_text":"⇑⪆-1314=((⇑⪆202122∑⇟⊟⇑⪆31421)⪟⇏⇑⪆123434⪃⊛⇣⇑⪆100021%((⇑⪆200402⋭≵⇑⪆141224)⨉))⩍⋽⫝̸(((⇤←⇑⪆23222)⫲≸⪮⇑⪆104201⊝⪿⪼⇑⪆23011)⨱∎)","cot":[{"info":"⇑⪆202122∑⇟⊟⇑⪆31421=NaN","layer":3},{"info":"⇑⪆123434⪃⊛⇣⇑⪆100021=⇑⪆14414","layer":3},{"info":"NaN⪟⇏⇑⪆14414=NaN","layer":2},{"info":"⇑⪆200402⋭≵⇑⪆141224=⇑⪆232","layer":3},{"info":"⇑⪆232⨉=⇑⪆34322","layer":2},{"info":"NaN%⇑⪆34322=NaN","layer":1},{"info":"⇤←⇑⪆23222=⇑⪆-211234","layer":3},{"info":"⇑⪆104201⊝⪿⪼⇑⪆23011=⇑⪆3214440","layer":3},{"info":"⇑⪆-211234⫲≸⪮⇑⪆3214440=⇑⪆211234","layer":2},{"info":"⇑⪆211234⨱∎=⇑⪆0","layer":1},{"info":"NaN⩍⋽⫝̸⇑⪆0=⇑⪆-1314","layer":0}]}
{"id":265,"expression_no_base_symbol":"(⊀($1636$⩹$2227$))⇍⊗(⨈⫕(⊀$2268$))+(($4364$≦≮≮)⪑⩈)↢(⋼∭⪍$2680$⊴$2807$)","expression":"(⊀(⇑⪆23021⩹⇑⪆32402))⇍⊗(⨈⫕(⊀⇑⪆33033))+((⇑⪆114424≦≮≮)⪑⩈)↢(⋼∭⪍⇑⪆41210⊴⇑⪆42212)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3741,"operation_count":11,"complexity_ratio":340.09090909090907,"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":1636,"base":5},"right_expr":{"type":"numeric_atoms","value":2227,"base":5}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2268,"base":5}}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4364,"base":5}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2680,"base":5},"right_expr":{"type":"numeric_atoms","value":2807,"base":5}}}}},"used_operators":["W4YGzv6Whe","5uvYHDjeKN","oPMjh9089D","2Wsdkap16l","megm06wKyl","WR6HLWljOP","C6VvDP6HwP","D4vGDi5EA2","DbCuESL50I","Nsiff2A1zJ"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","dWAJyo7jo9","14qkJME0vr"],"result":"⇑⪆344111","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1636","layer":4},{"info":"number node, value=2227","layer":4},{"info":"compute binary expreesion, left_input=1636, right_input=2227, 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=2225","layer":3},{"info":"compute unary expreesion, input=2225, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=8638","layer":2},{"info":"number node, value=2268","layer":4},{"info":"compute unary expreesion, input=2268, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=8810","layer":3},{"info":"compute unary expreesion, input=8810, 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=8638, right_input=-21, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=4364","layer":4},{"info":"compute unary expreesion, input=4364, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-13092","layer":3},{"info":"compute unary expreesion, input=-13092, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=13134","layer":2},{"info":"number node, value=2680","layer":4},{"info":"number node, value=2807","layer":4},{"info":"compute binary expreesion, left_input=2680, right_input=2807, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13134, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=12650","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=12650, op_id = W4YGzv6Whe binary_op_definition= 'None', output=12406","layer":0}],"base":5,"result_base":5,"text":"(⊀(⇑⪆23021⩹⇑⪆32402))⇍⊗(⨈⫕(⊀⇑⪆33033))+((⇑⪆114424≦≮≮)⪑⩈)↢(⋼∭⪍⇑⪆41210⊴⇑⪆42212)=⇑⪆344111","reverse_text":"⇑⪆344111=(⊀(⇑⪆23021⩹⇑⪆32402))⇍⊗(⨈⫕(⊀⇑⪆33033))+((⇑⪆114424≦≮≮)⪑⩈)↢(⋼∭⪍⇑⪆41210⊴⇑⪆42212)","cot":[{"info":"⇑⪆23021⩹⇑⪆32402=⇑⪆32400","layer":3},{"info":"⊀⇑⪆32400=⇑⪆234023","layer":2},{"info":"⊀⇑⪆33033=⇑⪆240220","layer":3},{"info":"⨈⫕⇑⪆240220=⇑⪆-41","layer":2},{"info":"⇑⪆234023⇍⊗⇑⪆-41=⇑⪆-1434","layer":1},{"info":"⇑⪆114424≦≮≮=⇑⪆-404332","layer":3},{"info":"⇑⪆-404332⪑⩈=⇑⪆410014","layer":2},{"info":"⇑⪆41210⊴⇑⪆42212=NaN","layer":3},{"info":"⋼∭⪍NaN=NaN","layer":2},{"info":"⇑⪆410014↢NaN=⇑⪆401100","layer":1},{"info":"⇑⪆-1434+⇑⪆401100=⇑⪆344111","layer":0}]}
{"id":266,"expression_no_base_symbol":"(($1591$⇣⩺⋵$4831$)⫒⫫(≻⋜$2338$))⫁($3832$⫁$1232$⊨$2179$⋥⋵⩄$8232$)⫦⪉(⨆≐≲($1961$↱$2121$))∣($2821$⋕⪉⪜$1079$⫢⨠(⊖∈$2488$))","expression":"((⇑⪆22331⇣⩺⋵⇑⪆123311)⫒⫫(≻⋜⇑⪆33323))⫁(⇑⪆110312⫁⇑⪆14412⊨⇑⪆32204⋥⋵⩄⇑⪆230412)⫦⪉(⨆≐≲(⇑⪆30321↱⇑⪆31441))∣(⇑⪆42241⋕⪉⪜⇑⪆13304⫢⨠(⊖∈⇑⪆34423))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14143,"operation_count":14,"complexity_ratio":1010.2142857142857,"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":1591,"base":5},"right_expr":{"type":"numeric_atoms","value":4831,"base":5}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":2338,"base":5}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3832,"base":5},"right_expr":{"type":"numeric_atoms","value":1232,"base":5}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2179,"base":5},"right_expr":{"type":"numeric_atoms","value":8232,"base":5}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1961,"base":5},"right_expr":{"type":"numeric_atoms","value":2121,"base":5}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2821,"base":5},"right_expr":{"type":"numeric_atoms","value":1079,"base":5}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":2488,"base":5}}}}},"used_operators":["wscyQdcy20","0ajvFaJAv0","6Ko8hGgeMq","F4yD0voBRQ","3tj9sqzovi","vg4gO5BX6G","7t3wd0Fuz7","PPChnnnBFF","Bi9z9uYZqW","SR5kFfdi6N","xlXykHWxX1","z6LnFrNh4i","YFxL8Sc2Zy"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","cHh1gJQ2o6","AHs5Up7iyr","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"⇑⪆121310","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1591","layer":4},{"info":"number node, value=4831","layer":4},{"info":"compute binary expreesion, left_input=1591, right_input=4831, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-3236","layer":3},{"info":"number node, value=2338","layer":4},{"info":"compute unary expreesion, input=2338, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3236, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"number node, value=3832","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=3832, right_input=1232, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=2179","layer":4},{"info":"number node, value=8232","layer":4},{"info":"compute binary expreesion, left_input=2179, right_input=8232, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=113, 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=nan, right_input=-174, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=1961","layer":4},{"info":"number node, value=2121","layer":4},{"info":"compute binary expreesion, left_input=1961, right_input=2121, 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=-5841","layer":3},{"info":"compute unary expreesion, input=-5841, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":2},{"info":"number node, value=2821","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=2821, right_input=1079, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=2488","layer":4},{"info":"compute unary expreesion, input=2488, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=44166","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=44166, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-168548, right_input=160, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=169032","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=169032, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4580","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆22331⇣⩺⋵⇑⪆123311)⫒⫫(≻⋜⇑⪆33323))⫁(⇑⪆110312⫁⇑⪆14412⊨⇑⪆32204⋥⋵⩄⇑⪆230412)⫦⪉(⨆≐≲(⇑⪆30321↱⇑⪆31441))∣(⇑⪆42241⋕⪉⪜⇑⪆13304⫢⨠(⊖∈⇑⪆34423))=⇑⪆121310","reverse_text":"⇑⪆121310=((⇑⪆22331⇣⩺⋵⇑⪆123311)⫒⫫(≻⋜⇑⪆33323))⫁(⇑⪆110312⫁⇑⪆14412⊨⇑⪆32204⋥⋵⩄⇑⪆230412)⫦⪉(⨆≐≲(⇑⪆30321↱⇑⪆31441))∣(⇑⪆42241⋕⪉⪜⇑⪆13304⫢⨠(⊖∈⇑⪆34423))","cot":[{"info":"⇑⪆22331⇣⩺⋵⇑⪆123311=⇑⪆-100421","layer":3},{"info":"≻⋜⇑⪆33323=NaN","layer":3},{"info":"⇑⪆-100421⫒⫫NaN=NaN","layer":2},{"info":"⇑⪆110312⫁⇑⪆14412=⇑⪆1120","layer":3},{"info":"⇑⪆32204⋥⋵⩄⇑⪆230412=⇑⪆423","layer":3},{"info":"⇑⪆1120⊨⇑⪆423=⇑⪆-1144","layer":2},{"info":"NaN⫁⇑⪆-1144=⇑⪆1120","layer":1},{"info":"⇑⪆30321↱⇑⪆31441=⇑⪆-141331","layer":3},{"info":"⨆≐≲⇑⪆-141331=⇑⪆-20343143","layer":2},{"info":"⇑⪆42241⋕⪉⪜⇑⪆13304=⇑⪆42202","layer":3},{"info":"⊖∈⇑⪆34423=⇑⪆2403131","layer":3},{"info":"⇑⪆42202⫢⨠⇑⪆2403131=⇑⪆1120","layer":2},{"info":"⇑⪆-20343143∣⇑⪆1120=⇑⪆20402112","layer":1},{"info":"⇑⪆1120⫦⪉⇑⪆20402112=⇑⪆121310","layer":0}]}
{"id":267,"expression_no_base_symbol":"(⨭⩧⫛(⊢≑≆$2192$))⨪↰⇹((⊢≑≆$3203$)⫃⨇($2124$⪒$1684$))⨽((↔($1226$⋾⨃∁$3475$))-(⫶⊄≣($2414$⫳≱↱$8263$)))","expression":"(⨭⩧⫛(⊢≑≆⇑⪆32232))⨪↰⇹((⊢≑≆⇑⪆100303)⫃⨇(⇑⪆31444⪒⇑⪆23214))⨽((↔(⇑⪆14401⋾⨃∁⇑⪆102400))-(⫶⊄≣(⇑⪆34124⫳≱↱⇑⪆231023)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4284,"operation_count":12,"complexity_ratio":357.0,"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":2192,"base":5}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":3203,"base":5}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2124,"base":5},"right_expr":{"type":"numeric_atoms","value":1684,"base":5}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1226,"base":5},"right_expr":{"type":"numeric_atoms","value":3475,"base":5}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2414,"base":5},"right_expr":{"type":"numeric_atoms","value":8263,"base":5}}}}},"used_operators":["8HhzD0ZcuI","tmPS8pqC7x","g21JL6JxX7","27wFxooxGf","09Ly4LVMIf","f6k1SAg4EE","rysDP5nf3Z","ruOEQAzv1W","212REbPD9h","wxb3vTeyAj","ZvLB05nZmT"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2192","layer":4},{"info":"compute unary expreesion, input=2192, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=9220","layer":3},{"info":"compute unary expreesion, input=9220, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"number node, value=3203","layer":4},{"info":"compute unary expreesion, input=3203, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=13264","layer":3},{"info":"number node, value=2124","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=2124, right_input=1684, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3808","layer":3},{"info":"compute binary expreesion, left_input=13264, right_input=-3808, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=15200","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15200, 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":"number node, value=1226","layer":4},{"info":"number node, value=3475","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=3475, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=120714456","layer":3},{"info":"compute unary expreesion, input=120714456, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-120714183","layer":2},{"info":"number node, value=2414","layer":4},{"info":"number node, value=8263","layer":4},{"info":"compute binary expreesion, left_input=2414, right_input=8263, 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 = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=742105","layer":2},{"info":"compute binary expreesion, left_input=-120714183, right_input=742105, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-121456288","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-121456288, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⨭⩧⫛(⊢≑≆⇑⪆32232))⨪↰⇹((⊢≑≆⇑⪆100303)⫃⨇(⇑⪆31444⪒⇑⪆23214))⨽((↔(⇑⪆14401⋾⨃∁⇑⪆102400))-(⫶⊄≣(⇑⪆34124⫳≱↱⇑⪆231023)))=NaN","reverse_text":"NaN=(⨭⩧⫛(⊢≑≆⇑⪆32232))⨪↰⇹((⊢≑≆⇑⪆100303)⫃⨇(⇑⪆31444⪒⇑⪆23214))⨽((↔(⇑⪆14401⋾⨃∁⇑⪆102400))-(⫶⊄≣(⇑⪆34124⫳≱↱⇑⪆231023)))","cot":[{"info":"⊢≑≆⇑⪆32232=⇑⪆243340","layer":3},{"info":"⨭⩧⫛⇑⪆243340=NaN","layer":2},{"info":"⊢≑≆⇑⪆100303=⇑⪆411024","layer":3},{"info":"⇑⪆31444⪒⇑⪆23214=⇑⪆-110213","layer":3},{"info":"⇑⪆411024⫃⨇⇑⪆-110213=⇑⪆441300","layer":2},{"info":"NaN⨪↰⇹⇑⪆441300=NaN","layer":1},{"info":"⇑⪆14401⋾⨃∁⇑⪆102400=⇑⪆221400330311","layer":3},{"info":"↔⇑⪆221400330311=⇑⪆-221400323213","layer":2},{"info":"⇑⪆34124⫳≱↱⇑⪆231023=⇑⪆-1304","layer":3},{"info":"⫶⊄≣⇑⪆-1304=⇑⪆142221410","layer":2},{"info":"⇑⪆-221400323213-⇑⪆142221410=⇑⪆-222043100123","layer":1},{"info":"NaN⨽⇑⪆-222043100123=NaN","layer":0}]}
{"id":268,"expression_no_base_symbol":"((∑⇻≧$4007$∳⫺$2901$)⫒⫫(∓⪦$1783$)⪥($1284$⪛⫼$3580$))⩇∃⫛((⨝⨆$1368$)⫗⊷⫓($1832$⊮⊟↴$1034$)⨭⪣($3352$↱$1616$)⫯⪬∳$4903$∺≝⩲$4108$)","expression":"((∑⇻≧⇑⪆112012∳⫺⇑⪆43101)⫒⫫(∓⪦⇑⪆24113)⪥(⇑⪆20114⪛⫼⇑⪆103310))⩇∃⫛((⨝⨆⇑⪆20433)⫗⊷⫓(⇑⪆24312⊮⊟↴⇑⪆13114)⨭⪣(⇑⪆101402↱⇑⪆22431)⫯⪬∳⇑⪆124103∺≝⩲⇑⪆112413)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":87966,"operation_count":14,"complexity_ratio":6283.285714285715,"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":4007,"base":5},"right_expr":{"type":"numeric_atoms","value":2901,"base":5}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1783,"base":5}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1284,"base":5},"right_expr":{"type":"numeric_atoms","value":3580,"base":5}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1368,"base":5}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1832,"base":5},"right_expr":{"type":"numeric_atoms","value":1034,"base":5}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3352,"base":5},"right_expr":{"type":"numeric_atoms","value":1616,"base":5}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4903,"base":5},"right_expr":{"type":"numeric_atoms","value":4108,"base":5}}}}},"used_operators":["1aApVXNlOP","6Ko8hGgeMq","l1M9WJ3V7u","AzXXKTstlj","QbnwKVWMIQ","D309nIvmXG","hyuBjUqXlG","kn8WO9XteQ","zashukvMKz","bQ67fsrMVf","QDVgd2eftb","d7ASUq0ydm","SR5kFfdi6N","KPf6cnQVty"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","tifHPKVTfV","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⇑⪆-1003013","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4007","layer":4},{"info":"number node, value=2901","layer":4},{"info":"compute binary expreesion, left_input=4007, right_input=2901, 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 = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"number node, value=1783","layer":4},{"info":"compute unary expreesion, input=1783, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=1375","layer":3},{"info":"number node, value=1284","layer":4},{"info":"number node, value=3580","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=3580, 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=1375, right_input=968, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=10152","layer":2},{"info":"compute binary expreesion, left_input=-852, right_input=10152, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=-16008","layer":1},{"info":"number node, value=1368","layer":4},{"info":"compute unary expreesion, input=1368, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1159","layer":3},{"info":"number node, value=1832","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=1832, right_input=1034, 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=1159, 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=3352","layer":4},{"info":"number node, value=1616","layer":4},{"info":"compute binary expreesion, left_input=3352, right_input=1616, 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=-4326","layer":3},{"info":"number node, value=4903","layer":4},{"info":"number node, value=4108","layer":4},{"info":"compute binary expreesion, left_input=4903, right_input=4108, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-4326, right_input=160, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=12505","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=12505, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-188","layer":1},{"info":"compute binary expreesion, left_input=-16008, right_input=-188, 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=-16008","layer":0}],"base":5,"result_base":5,"text":"((∑⇻≧⇑⪆112012∳⫺⇑⪆43101)⫒⫫(∓⪦⇑⪆24113)⪥(⇑⪆20114⪛⫼⇑⪆103310))⩇∃⫛((⨝⨆⇑⪆20433)⫗⊷⫓(⇑⪆24312⊮⊟↴⇑⪆13114)⨭⪣(⇑⪆101402↱⇑⪆22431)⫯⪬∳⇑⪆124103∺≝⩲⇑⪆112413)=⇑⪆-1003013","reverse_text":"⇑⪆-1003013=((∑⇻≧⇑⪆112012∳⫺⇑⪆43101)⫒⫫(∓⪦⇑⪆24113)⪥(⇑⪆20114⪛⫼⇑⪆103310))⩇∃⫛((⨝⨆⇑⪆20433)⫗⊷⫓(⇑⪆24312⊮⊟↴⇑⪆13114)⨭⪣(⇑⪆101402↱⇑⪆22431)⫯⪬∳⇑⪆124103∺≝⩲⇑⪆112413)","cot":[{"info":"⇑⪆112012∳⫺⇑⪆43101=⇑⪆-2020","layer":3},{"info":"∑⇻≧⇑⪆-2020=⇑⪆-11402","layer":2},{"info":"∓⪦⇑⪆24113=⇑⪆21000","layer":3},{"info":"⇑⪆20114⪛⫼⇑⪆103310=⇑⪆12333","layer":3},{"info":"⇑⪆21000⪥⇑⪆12333=⇑⪆311102","layer":2},{"info":"⇑⪆-11402⫒⫫⇑⪆311102=⇑⪆-1003013","layer":1},{"info":"⨝⨆⇑⪆20433=⇑⪆14114","layer":3},{"info":"⇑⪆24312⊮⊟↴⇑⪆13114=⇑⪆0","layer":3},{"info":"⇑⪆14114⫗⊷⫓⇑⪆0=⇑⪆-1014","layer":2},{"info":"⇑⪆101402↱⇑⪆22431=⇑⪆-114301","layer":3},{"info":"⇑⪆124103∺≝⩲⇑⪆112413=⇑⪆1120","layer":3},{"info":"⇑⪆-114301⫯⪬∳⇑⪆1120=⇑⪆400010","layer":2},{"info":"⇑⪆-1014⨭⪣⇑⪆400010=⇑⪆-1223","layer":1},{"info":"⇑⪆-1003013⩇∃⫛⇑⪆-1223=⇑⪆-1003013","layer":0}]}
{"id":269,"expression_no_base_symbol":"(⇉-⫰(↯⪼$3270$⪥$1641$))⨳⩥⨓((⨮↦↱$2051$)⫲≸⪮(↡$1211$))⇴($1595$⪘⫢$1416$⫸⇳$1682$⊬⨰$8319$)","expression":"(⇉-⫰(↯⪼⇑⪆101040⪥⇑⪆23031))⨳⩥⨓((⨮↦↱⇑⪆31201)⫲≸⪮(↡⇑⪆14321))⇴(⇑⪆22340⪘⫢⇑⪆21131⫸⇳⇑⪆23212⊬⨰⇑⪆231234)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1737,"operation_count":11,"complexity_ratio":157.9090909090909,"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":3270,"base":5},"right_expr":{"type":"numeric_atoms","value":1641,"base":5}}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":2051,"base":5}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1211,"base":5}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1595,"base":5},"right_expr":{"type":"numeric_atoms","value":1416,"base":5}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1682,"base":5},"right_expr":{"type":"numeric_atoms","value":8319,"base":5}}}}},"used_operators":["nCS4ZIUYfx","IGFM8TAlm9","8jW3W4yZS5","QbnwKVWMIQ","4JB6nKBMSY","P3lXMJvFrc","sYcpBQ0cFf","MXaNJeIAZ3","gx7XJ7hdpj","oacrs7FA3X","s3Fd5m9Dh2"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","eH2TOUuTDT","eewbuw0ToL","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","sdazOOVcIp","NTOWxs364D","COABgblf1C","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3270","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=3270, right_input=1641, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=17732","layer":3},{"info":"compute unary expreesion, input=17732, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"number node, value=2051","layer":4},{"info":"compute unary expreesion, input=2051, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-7280799","layer":3},{"info":"number node, value=1211","layer":4},{"info":"compute unary expreesion, input=1211, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=10899","layer":3},{"info":"compute binary expreesion, left_input=-7280799, right_input=10899, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":2},{"info":"number node, value=1595","layer":4},{"info":"number node, value=1416","layer":4},{"info":"compute binary expreesion, left_input=1595, right_input=1416, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3066","layer":3},{"info":"number node, value=1682","layer":4},{"info":"number node, value=8319","layer":4},{"info":"compute binary expreesion, left_input=1682, right_input=8319, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=33902","layer":3},{"info":"compute binary expreesion, left_input=3066, right_input=33902, 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 = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=20, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇉-⫰(↯⪼⇑⪆101040⪥⇑⪆23031))⨳⩥⨓((⨮↦↱⇑⪆31201)⫲≸⪮(↡⇑⪆14321))⇴(⇑⪆22340⪘⫢⇑⪆21131⫸⇳⇑⪆23212⊬⨰⇑⪆231234)=NaN","reverse_text":"NaN=(⇉-⫰(↯⪼⇑⪆101040⪥⇑⪆23031))⨳⩥⨓((⨮↦↱⇑⪆31201)⫲≸⪮(↡⇑⪆14321))⇴(⇑⪆22340⪘⫢⇑⪆21131⫸⇳⇑⪆23212⊬⨰⇑⪆231234)","cot":[{"info":"⇑⪆101040⪥⇑⪆23031=⇑⪆1031412","layer":3},{"info":"↯⪼⇑⪆1031412=⇑⪆-41","layer":2},{"info":"⇉-⫰⇑⪆-41=⇑⪆40","layer":1},{"info":"⨮↦↱⇑⪆31201=⇑⪆-3330441144","layer":3},{"info":"↡⇑⪆14321=⇑⪆322044","layer":3},{"info":"⇑⪆-3330441144⫲≸⪮⇑⪆322044=NaN","layer":2},{"info":"⇑⪆22340⪘⫢⇑⪆21131=⇑⪆44231","layer":3},{"info":"⇑⪆23212⊬⨰⇑⪆231234=⇑⪆2041102","layer":3},{"info":"⇑⪆44231⫸⇳⇑⪆2041102=⇑⪆0","layer":2},{"info":"NaN⇴⇑⪆0=NaN","layer":1},{"info":"⇑⪆40⨳⩥⨓NaN=NaN","layer":0}]}
{"id":270,"expression_no_base_symbol":"(⨑⩽⪐(($1562$-$1431$)↸($3350$∲⫓$4524$)))⋥⋵⩄((-$6568$≁↽≥$1380$)⨎(($3598$+$5212$)⊍))","expression":"(⨑⩽⪐((⇑⪆22222-⇑⪆21211)↸(⇑⪆101400∲⫓⇑⪆121044)))⋥⋵⩄((-⇑⪆202233≁↽≥⇑⪆21010)⨎((⇑⪆103343+⇑⪆131322)⊍))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":77,"operation_count":10,"complexity_ratio":7.7,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1562,"base":5},"right_expr":{"type":"numeric_atoms","value":1431,"base":5}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3350,"base":5},"right_expr":{"type":"numeric_atoms","value":4524,"base":5}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":6568,"base":5},"right_expr":{"type":"numeric_atoms","value":1380,"base":5}}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3598,"base":5},"right_expr":{"type":"numeric_atoms","value":5212,"base":5}}}}},"used_operators":["7t3wd0Fuz7","AF7qkfDlqP","1eCjFl0mb9","rysDP5nf3Z","i8ToyICDmI","rJVOvQCfKK","t8gj7n24qd","ncHt1X6cMc","3nqY3DE9mg","W4YGzv6Whe"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","oWn0xqSxBt","3Oe9XWJUTD","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM"],"result":"⇑⪆423","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1562","layer":4},{"info":"number node, value=1431","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=1431, op_id = rysDP5nf3Z binary_op_definition= 'None', output=131","layer":3},{"info":"number node, value=3350","layer":4},{"info":"number node, value=4524","layer":4},{"info":"compute binary expreesion, left_input=3350, right_input=4524, 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=131, right_input=0, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=131","layer":2},{"info":"compute unary expreesion, input=131, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=142","layer":1},{"info":"number node, value=6568","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=6568, right_input=1380, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=92468","layer":3},{"info":"compute unary expreesion, input=92468, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-92468","layer":2},{"info":"number node, value=3598","layer":4},{"info":"number node, value=5212","layer":4},{"info":"compute binary expreesion, left_input=3598, right_input=5212, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8810","layer":3},{"info":"compute unary expreesion, input=8810, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=24750","layer":2},{"info":"compute binary expreesion, left_input=-92468, right_input=24750, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=24750","layer":1},{"info":"compute binary expreesion, left_input=142, right_input=24750, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":0}],"base":5,"result_base":5,"text":"(⨑⩽⪐((⇑⪆22222-⇑⪆21211)↸(⇑⪆101400∲⫓⇑⪆121044)))⋥⋵⩄((-⇑⪆202233≁↽≥⇑⪆21010)⨎((⇑⪆103343+⇑⪆131322)⊍))=⇑⪆423","reverse_text":"⇑⪆423=(⨑⩽⪐((⇑⪆22222-⇑⪆21211)↸(⇑⪆101400∲⫓⇑⪆121044)))⋥⋵⩄((-⇑⪆202233≁↽≥⇑⪆21010)⨎((⇑⪆103343+⇑⪆131322)⊍))","cot":[{"info":"⇑⪆22222-⇑⪆21211=⇑⪆1011","layer":3},{"info":"⇑⪆101400∲⫓⇑⪆121044=⇑⪆0","layer":3},{"info":"⇑⪆1011↸⇑⪆0=⇑⪆1011","layer":2},{"info":"⨑⩽⪐⇑⪆1011=⇑⪆1032","layer":1},{"info":"⇑⪆202233≁↽≥⇑⪆21010=⇑⪆10424333","layer":3},{"info":"-⇑⪆10424333=⇑⪆-10424333","layer":2},{"info":"⇑⪆103343+⇑⪆131322=⇑⪆240220","layer":3},{"info":"⇑⪆240220⊍=⇑⪆1243000","layer":2},{"info":"⇑⪆-10424333⨎⇑⪆1243000=⇑⪆1243000","layer":1},{"info":"⇑⪆1032⋥⋵⩄⇑⪆1243000=⇑⪆423","layer":0}]}
{"id":271,"expression_no_base_symbol":"(⩦⊞($2670$⋭≵$3319$))⨼⩣(($1210$⊟⇱)⪕($4484$≝⊰⇂))⪡(⇙⪊((⊖$3012$)⩷∴($3911$⩵∡$1367$)))","expression":"(⩦⊞(⇑⪆41140⋭≵⇑⪆101234))⨼⩣((⇑⪆14320⊟⇱)⪕(⇑⪆120414≝⊰⇂))⪡(⇙⪊((⊖⇑⪆44022)⩷∴(⇑⪆111121⩵∡⇑⪆20432)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1907,"operation_count":11,"complexity_ratio":173.36363636363637,"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":2670,"base":5},"right_expr":{"type":"numeric_atoms","value":3319,"base":5}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":1210,"base":5}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":4484,"base":5}}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":3012,"base":5}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3911,"base":5},"right_expr":{"type":"numeric_atoms","value":1367,"base":5}}}}},"used_operators":["oraRL2iQuh","JxwMv5le6e","u7fv1HBiaC","jBncVCNhdl","umQnsF7QlU","03sUfWo75k","htSmYCowi5","pB6Fcnrjim","9FxExcQeMw","U6pG0PXrV3","Y7wcNGrDQJ"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","IWmyXbctLI","9FxExcQeMw","DlLNRPXxWL","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","rysDP5nf3Z","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2670","layer":4},{"info":"number node, value=3319","layer":4},{"info":"compute binary expreesion, left_input=2670, right_input=3319, 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 = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=78","layer":2},{"info":"number node, value=1210","layer":4},{"info":"compute unary expreesion, input=1210, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=2736","layer":3},{"info":"number node, value=4484","layer":4},{"info":"compute unary expreesion, input=4484, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2736, right_input=0, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=6373","layer":2},{"info":"compute binary expreesion, left_input=78, right_input=6373, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=3012","layer":4},{"info":"compute unary expreesion, input=3012, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=3911","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=3911, right_input=1367, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-6576","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6576, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=13120","layer":2},{"info":"compute unary expreesion, input=13120, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⩦⊞(⇑⪆41140⋭≵⇑⪆101234))⨼⩣((⇑⪆14320⊟⇱)⪕(⇑⪆120414≝⊰⇂))⪡(⇙⪊((⊖⇑⪆44022)⩷∴(⇑⪆111121⩵∡⇑⪆20432)))=NaN","reverse_text":"NaN=(⩦⊞(⇑⪆41140⋭≵⇑⪆101234))⨼⩣((⇑⪆14320⊟⇱)⪕(⇑⪆120414≝⊰⇂))⪡(⇙⪊((⊖⇑⪆44022)⩷∴(⇑⪆111121⩵∡⇑⪆20432)))","cot":[{"info":"⇑⪆41140⋭≵⇑⪆101234=⇑⪆232","layer":3},{"info":"⩦⊞⇑⪆232=⇑⪆303","layer":2},{"info":"⇑⪆14320⊟⇱=⇑⪆41421","layer":3},{"info":"⇑⪆120414≝⊰⇂=⇑⪆0","layer":3},{"info":"⇑⪆41421⪕⇑⪆0=⇑⪆200443","layer":2},{"info":"⇑⪆303⨼⩣⇑⪆200443=NaN","layer":1},{"info":"⊖⇑⪆44022=⇑⪆0","layer":3},{"info":"⇑⪆111121⩵∡⇑⪆20432=⇑⪆-202301","layer":3},{"info":"⇑⪆0⩷∴⇑⪆-202301=⇑⪆404440","layer":2},{"info":"⇙⪊⇑⪆404440=⇑⪆0","layer":1},{"info":"NaN⪡⇑⪆0=NaN","layer":0}]}
{"id":272,"expression_no_base_symbol":"(≛(∥⊫$6329$≥⨤⩑$2800$))∷(⪝⪂⫅$5454$)⩘($2742$∸)⋳⪒(⇈$1271$)⩒⫫(⨭⩧⫛$1144$)","expression":"(≛(∥⊫⇑⪆200304≥⨤⩑⇑⪆42200))∷(⪝⪂⫅⇑⪆133304)⩘(⇑⪆41432∸)⋳⪒(⇈⇑⪆20041)⩒⫫(⨭⩧⫛⇑⪆14034)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2406736,"operation_count":11,"complexity_ratio":218794.18181818182,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":6329,"base":5},"right_expr":{"type":"numeric_atoms","value":2800,"base":5}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5454,"base":5}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2742,"base":5}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1271,"base":5}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1144,"base":5}}}}},"used_operators":["D3AQDKkPcf","W7eaUhjymW","P8v4zCKN1o","gJLn6v0xnP","12rbrZMWeM","cHh1gJQ2o6","XTarYq4gQB","o20kRiQErp","KFSx94NKJn","SLLxy00UIr","g21JL6JxX7"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9HNa5Wba9A","8w2t5hMYqp","tmPS8pqC7x","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6329","layer":4},{"info":"number node, value=2800","layer":4},{"info":"compute binary expreesion, left_input=6329, right_input=2800, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2102","layer":2},{"info":"compute unary expreesion, input=2102, 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=5454","layer":4},{"info":"compute unary expreesion, input=5454, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-801738","layer":3},{"info":"number node, value=2742","layer":4},{"info":"compute unary expreesion, input=2742, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-801738, right_input=177, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=1271","layer":4},{"info":"compute unary expreesion, input=1271, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=1144","layer":4},{"info":"compute unary expreesion, input=1144, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, 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":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-10, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(≛(∥⊫⇑⪆200304≥⨤⩑⇑⪆42200))∷(⪝⪂⫅⇑⪆133304)⩘(⇑⪆41432∸)⋳⪒(⇈⇑⪆20041)⩒⫫(⨭⩧⫛⇑⪆14034)=NaN","reverse_text":"NaN=(≛(∥⊫⇑⪆200304≥⨤⩑⇑⪆42200))∷(⪝⪂⫅⇑⪆133304)⩘(⇑⪆41432∸)⋳⪒(⇈⇑⪆20041)⩒⫫(⨭⩧⫛⇑⪆14034)","cot":[{"info":"⇑⪆200304≥⨤⩑⇑⪆42200=⇑⪆14414","layer":3},{"info":"∥⊫⇑⪆14414=⇑⪆31402","layer":2},{"info":"≛⇑⪆31402=⇑⪆-20","layer":1},{"info":"⪝⪂⫅⇑⪆133304=⇑⪆-201123423","layer":3},{"info":"⇑⪆41432∸=⇑⪆1202","layer":3},{"info":"⇑⪆-201123423⩘⇑⪆1202=⇑⪆1120","layer":2},{"info":"⇈⇑⪆20041=⇑⪆-3242","layer":3},{"info":"⨭⩧⫛⇑⪆14034=NaN","layer":3},{"info":"⇑⪆-3242⩒⫫NaN=NaN","layer":2},{"info":"⇑⪆1120⋳⪒NaN=NaN","layer":1},{"info":"⇑⪆-20∷NaN=NaN","layer":0}]}
{"id":273,"expression_no_base_symbol":"(⨡↴$2289$⪢$3670$⊹∫⫚$1367$⨿$1055$)⩁","expression":"(⨡↴⇑⪆33124⪢⇑⪆104140⊹∫⫚⇑⪆20432⨿⇑⪆13210)⩁","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3931,"operation_count":5,"complexity_ratio":786.2,"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":2289,"base":5},"right_expr":{"type":"numeric_atoms","value":3670,"base":5}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1367,"base":5},"right_expr":{"type":"numeric_atoms","value":1055,"base":5}}}}},"used_operators":["5GqDbVmqXU","liw5iZPkLH","uWAJUKEvyW","dWAJyo7jo9","abYXlopdE0"],"dependent_operators":["7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","W4YGzv6Whe","P8v4zCKN1o","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","k8jYdgA6NY","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"⇑⪆-124113","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2289","layer":4},{"info":"number node, value=3670","layer":4},{"info":"compute binary expreesion, left_input=2289, right_input=3670, 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=1367","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=1367, right_input=1055, 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 = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-88","layer":2},{"info":"compute unary expreesion, input=-88, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=961","layer":1},{"info":"compute unary expreesion, input=961, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-4908","layer":0}],"base":5,"result_base":5,"text":"(⨡↴⇑⪆33124⪢⇑⪆104140⊹∫⫚⇑⪆20432⨿⇑⪆13210)⩁=⇑⪆-124113","reverse_text":"⇑⪆-124113=(⨡↴⇑⪆33124⪢⇑⪆104140⊹∫⫚⇑⪆20432⨿⇑⪆13210)⩁","cot":[{"info":"⇑⪆33124⪢⇑⪆104140=NaN","layer":3},{"info":"⇑⪆20432⨿⇑⪆13210=⇑⪆-2234","layer":3},{"info":"NaN⊹∫⫚⇑⪆-2234=⇑⪆-323","layer":2},{"info":"⨡↴⇑⪆-323=⇑⪆12321","layer":1},{"info":"⇑⪆12321⩁=⇑⪆-124113","layer":0}]}
{"id":274,"expression_no_base_symbol":"$5395$≁↽≥$8530$⨥⫆($1691$⫔⩽⩺$3818$)∳⫺((⨈⫕$4385$)∓⋝($4077$⨓$1431$))⫳≱↱$2450$∘$3937$⊋($1817$⊓⋫)≒∊($1219$≄⊠$4109$∽$1965$⇴$2049$)","expression":"⇑⪆133040≁↽≥⇑⪆233110⨥⫆(⇑⪆23231⫔⩽⩺⇑⪆110233)∳⫺((⨈⫕⇑⪆120020)∓⋝(⇑⪆112302⨓⇑⪆21211))⫳≱↱⇑⪆34300∘⇑⪆111222⊋(⇑⪆24232⊓⋫)≒∊(⇑⪆14334≄⊠⇑⪆112414∽⇑⪆30330⇴⇑⪆31144)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2472,"operation_count":15,"complexity_ratio":164.8,"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":5395,"base":5},"right_expr":{"type":"numeric_atoms","value":8530,"base":5}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1691,"base":5},"right_expr":{"type":"numeric_atoms","value":3818,"base":5}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4385,"base":5}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4077,"base":5},"right_expr":{"type":"numeric_atoms","value":1431,"base":5}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2450,"base":5},"right_expr":{"type":"numeric_atoms","value":3937,"base":5}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":1817,"base":5}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1219,"base":5},"right_expr":{"type":"numeric_atoms","value":4109,"base":5}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1965,"base":5},"right_expr":{"type":"numeric_atoms","value":2049,"base":5}}}}},"used_operators":["ZvLB05nZmT","AzXXKTstlj","yXekIHxTD4","ncHt1X6cMc","i9eR4S00cU","PoHhknlbAi","megm06wKyl","3ViojmjbAp","5KTvxBwnZo","W4tP9CfskL","Z5m6OM72h2","IqGBaFP0uj","y4ImoPnbV5","vXNesLlMH1","4JB6nKBMSY"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","oWn0xqSxBt","3Oe9XWJUTD","Tw270M8GLb","fu6greOZ01","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eH2TOUuTDT","rysDP5nf3Z","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","QMFrweE19q","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"⇑⪆-1304","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5395","layer":4},{"info":"number node, value=8530","layer":4},{"info":"compute binary expreesion, left_input=5395, right_input=8530, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=90857","layer":3},{"info":"number node, value=1691","layer":4},{"info":"number node, value=3818","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=3818, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=90857, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"number node, value=4385","layer":4},{"info":"compute unary expreesion, input=4385, 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=4077","layer":4},{"info":"number node, value=1431","layer":4},{"info":"compute binary expreesion, left_input=4077, right_input=1431, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1434","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-1434, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-321","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-321, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=2450","layer":4},{"info":"number node, value=3937","layer":4},{"info":"compute binary expreesion, left_input=2450, right_input=3937, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=4900","layer":3},{"info":"number node, value=1817","layer":4},{"info":"compute unary expreesion, input=1817, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-1945","layer":3},{"info":"compute binary expreesion, left_input=4900, right_input=-1945, 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=-44354","layer":2},{"info":"number node, value=1219","layer":4},{"info":"number node, value=4109","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=4109, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=70412","layer":3},{"info":"number node, value=1965","layer":4},{"info":"number node, value=2049","layer":4},{"info":"compute binary expreesion, left_input=1965, right_input=2049, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=15502","layer":3},{"info":"compute binary expreesion, left_input=70412, right_input=15502, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-398388","layer":2},{"info":"compute binary expreesion, left_input=-44354, right_input=-398388, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=44838","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=44838, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":0}],"base":5,"result_base":5,"text":"⇑⪆133040≁↽≥⇑⪆233110⨥⫆(⇑⪆23231⫔⩽⩺⇑⪆110233)∳⫺((⨈⫕⇑⪆120020)∓⋝(⇑⪆112302⨓⇑⪆21211))⫳≱↱⇑⪆34300∘⇑⪆111222⊋(⇑⪆24232⊓⋫)≒∊(⇑⪆14334≄⊠⇑⪆112414∽⇑⪆30330⇴⇑⪆31144)=⇑⪆-1304","reverse_text":"⇑⪆-1304=⇑⪆133040≁↽≥⇑⪆233110⨥⫆(⇑⪆23231⫔⩽⩺⇑⪆110233)∳⫺((⨈⫕⇑⪆120020)∓⋝(⇑⪆112302⨓⇑⪆21211))⫳≱↱⇑⪆34300∘⇑⪆111222⊋(⇑⪆24232⊓⋫)≒∊(⇑⪆14334≄⊠⇑⪆112414∽⇑⪆30330⇴⇑⪆31144)","cot":[{"info":"⇑⪆133040≁↽≥⇑⪆233110=⇑⪆10401412","layer":3},{"info":"⇑⪆23231⫔⩽⩺⇑⪆110233=NaN","layer":3},{"info":"⇑⪆10401412⨥⫆NaN=NaN","layer":2},{"info":"⨈⫕⇑⪆120020=⇑⪆-41","layer":3},{"info":"⇑⪆112302⨓⇑⪆21211=⇑⪆-21214","layer":3},{"info":"⇑⪆-41∓⋝⇑⪆-21214=⇑⪆-2241","layer":2},{"info":"NaN∳⫺⇑⪆-2241=⇑⪆-2020","layer":1},{"info":"⇑⪆34300∘⇑⪆111222=⇑⪆124100","layer":3},{"info":"⇑⪆24232⊓⋫=⇑⪆-30240","layer":3},{"info":"⇑⪆124100⊋⇑⪆-30240=⇑⪆-2404404","layer":2},{"info":"⇑⪆14334≄⊠⇑⪆112414=⇑⪆4223122","layer":3},{"info":"⇑⪆30330⇴⇑⪆31144=⇑⪆444002","layer":3},{"info":"⇑⪆4223122∽⇑⪆444002=⇑⪆-100222023","layer":2},{"info":"⇑⪆-2404404≒∊⇑⪆-100222023=⇑⪆2413323","layer":1},{"info":"⇑⪆-2020⫳≱↱⇑⪆2413323=⇑⪆-1304","layer":0}]}
{"id":275,"expression_no_base_symbol":"(($2630$⇟⨁⪰)⫡⨏$1614$↙$4701$)⇌⫙⪟(↑$1171$)∛($4289$⩘⨬⇊)⫰⋱(≱⇩⩕$1671$↡⊰⫅$3101$)⇣⩺⋵($6288$∝$2084$)⊲⩕⊾$3210$⊢$2390$","expression":"((⇑⪆41010⇟⨁⪰)⫡⨏⇑⪆22424↙⇑⪆122301)⇌⫙⪟(↑⇑⪆14141)∛(⇑⪆114124⩘⨬⇊)⫰⋱(≱⇩⩕⇑⪆23141↡⊰⫅⇑⪆44401)⇣⩺⋵(⇑⪆200123∝⇑⪆31314)⊲⩕⊾⇑⪆100320⊢⇑⪆34030","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":53409,"operation_count":14,"complexity_ratio":3814.9285714285716,"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":2630,"base":5}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1614,"base":5},"right_expr":{"type":"numeric_atoms","value":4701,"base":5}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1171,"base":5}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":4289,"base":5}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1671,"base":5},"right_expr":{"type":"numeric_atoms","value":3101,"base":5}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":6288,"base":5},"right_expr":{"type":"numeric_atoms","value":2084,"base":5}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3210,"base":5},"right_expr":{"type":"numeric_atoms","value":2390,"base":5}}}}},"used_operators":["6o9Blt3TJ6","AFVx7xoS7T","QMFrweE19q","BX1lVwlMe0","yyfyN0ffXY","w2537kitQq","tR7O2zTn5j","XXmTpEpWTW","F4yD0voBRQ","3DZMoQKiUl","VCtxkLNOzz","DmTXOeWf9t","cTDWOvIxvz","5twsqlHp2o"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","xUOZtlo3hN","tmPS8pqC7x","DpFCA1CohY","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","7j4O788W3g","W4YGzv6Whe","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"⇑⪆10103214","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2630","layer":4},{"info":"compute unary expreesion, input=2630, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-2804","layer":3},{"info":"number node, value=1614","layer":4},{"info":"number node, value=4701","layer":4},{"info":"compute binary expreesion, left_input=1614, right_input=4701, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14103","layer":3},{"info":"compute binary expreesion, left_input=-2804, right_input=-14103, 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=-41443","layer":2},{"info":"number node, value=1171","layer":4},{"info":"compute unary expreesion, input=1171, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=4289","layer":4},{"info":"compute unary expreesion, input=4289, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=192, 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":"compute binary expreesion, left_input=-41443, right_input=67, 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=1671","layer":4},{"info":"number node, value=3101","layer":4},{"info":"compute binary expreesion, left_input=1671, right_input=3101, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=6202","layer":3},{"info":"compute unary expreesion, input=6202, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"number node, value=6288","layer":4},{"info":"number node, value=2084","layer":4},{"info":"compute binary expreesion, left_input=6288, right_input=2084, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=6293","layer":3},{"info":"number node, value=3210","layer":4},{"info":"number node, value=2390","layer":4},{"info":"compute binary expreesion, left_input=3210, right_input=2390, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-6664","layer":3},{"info":"compute binary expreesion, left_input=6293, right_input=-6664, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=41122","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=41122, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-81730","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=-81730, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=81684","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆41010⇟⨁⪰)⫡⨏⇑⪆22424↙⇑⪆122301)⇌⫙⪟(↑⇑⪆14141)∛(⇑⪆114124⩘⨬⇊)⫰⋱(≱⇩⩕⇑⪆23141↡⊰⫅⇑⪆44401)⇣⩺⋵(⇑⪆200123∝⇑⪆31314)⊲⩕⊾⇑⪆100320⊢⇑⪆34030=⇑⪆10103214","reverse_text":"⇑⪆10103214=((⇑⪆41010⇟⨁⪰)⫡⨏⇑⪆22424↙⇑⪆122301)⇌⫙⪟(↑⇑⪆14141)∛(⇑⪆114124⩘⨬⇊)⫰⋱(≱⇩⩕⇑⪆23141↡⊰⫅⇑⪆44401)⇣⩺⋵(⇑⪆200123∝⇑⪆31314)⊲⩕⊾⇑⪆100320⊢⇑⪆34030","cot":[{"info":"⇑⪆41010⇟⨁⪰=⇑⪆-42204","layer":3},{"info":"⇑⪆22424↙⇑⪆122301=⇑⪆-422403","layer":3},{"info":"⇑⪆-42204⫡⨏⇑⪆-422403=⇑⪆-2311233","layer":2},{"info":"↑⇑⪆14141=⇑⪆1232","layer":3},{"info":"⇑⪆114124⩘⨬⇊=NaN","layer":3},{"info":"⇑⪆1232∛NaN=⇑⪆232","layer":2},{"info":"⇑⪆-2311233⇌⫙⪟⇑⪆232=⇑⪆423","layer":1},{"info":"⇑⪆23141↡⊰⫅⇑⪆44401=⇑⪆144302","layer":3},{"info":"≱⇩⩕⇑⪆144302=⇑⪆423","layer":2},{"info":"⇑⪆200123∝⇑⪆31314=⇑⪆200133","layer":3},{"info":"⇑⪆100320⊢⇑⪆34030=⇑⪆-203124","layer":3},{"info":"⇑⪆200133⊲⩕⊾⇑⪆-203124=⇑⪆2303442","layer":2},{"info":"⇑⪆423⇣⩺⋵⇑⪆2303442=⇑⪆-10103410","layer":1},{"info":"⇑⪆423⫰⋱⇑⪆-10103410=⇑⪆10103214","layer":0}]}
{"id":276,"expression_no_base_symbol":"(⩩((⊀$3504$)⊭↱$3231$≄⊠$1813$))⫚↹⊑($5129$⩒⫫$1100$⫲)⨔≚≋($1238$⨸$4376$⩺⪪(≻⋜$1165$))","expression":"(⩩((⊀⇑⪆103004)⊭↱⇑⪆100411≄⊠⇑⪆24223))⫚↹⊑(⇑⪆131004⩒⫫⇑⪆13400⫲)⨔≚≋(⇑⪆14423⨸⇑⪆120001⩺⪪(≻⋜⇑⪆14130))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":48640,"operation_count":11,"complexity_ratio":4421.818181818182,"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":3504,"base":5}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3231,"base":5},"right_expr":{"type":"numeric_atoms","value":1813,"base":5}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":5129,"base":5},"right_expr":{"type":"numeric_atoms","value":1100,"base":5}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1238,"base":5},"right_expr":{"type":"numeric_atoms","value":4376,"base":5}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1165,"base":5}}}}},"used_operators":["dfKe02y8D2","kMhfGuqI2H","COABgblf1C","oPMjh9089D","vXNesLlMH1","Z57zeUYC9z","9xnGDUPbC6","KFSx94NKJn","uvdQJvN4PV","KmoU8R5UQR","3tj9sqzovi"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"⇑⪆-3242","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3504","layer":4},{"info":"compute unary expreesion, input=3504, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=13754","layer":3},{"info":"number node, value=3231","layer":4},{"info":"number node, value=1813","layer":4},{"info":"compute binary expreesion, left_input=3231, right_input=1813, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=33676","layer":3},{"info":"compute binary expreesion, left_input=13754, right_input=33676, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=39849","layer":2},{"info":"compute unary expreesion, input=39849, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"number node, value=5129","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=5129, right_input=1100, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4827","layer":3},{"info":"compute unary expreesion, input=4827, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=4554","layer":2},{"info":"number node, value=1238","layer":4},{"info":"number node, value=4376","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=4376, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2476","layer":3},{"info":"number node, value=1165","layer":4},{"info":"compute unary expreesion, input=1165, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2476, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4554, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":5,"result_base":5,"text":"(⩩((⊀⇑⪆103004)⊭↱⇑⪆100411≄⊠⇑⪆24223))⫚↹⊑(⇑⪆131004⩒⫫⇑⪆13400⫲)⨔≚≋(⇑⪆14423⨸⇑⪆120001⩺⪪(≻⋜⇑⪆14130))=⇑⪆-3242","reverse_text":"⇑⪆-3242=(⩩((⊀⇑⪆103004)⊭↱⇑⪆100411≄⊠⇑⪆24223))⫚↹⊑(⇑⪆131004⩒⫫⇑⪆13400⫲)⨔≚≋(⇑⪆14423⨸⇑⪆120001⩺⪪(≻⋜⇑⪆14130))","cot":[{"info":"⊀⇑⪆103004=⇑⪆420004","layer":3},{"info":"⇑⪆100411≄⊠⇑⪆24223=⇑⪆2034201","layer":3},{"info":"⇑⪆420004⊭↱⇑⪆2034201=⇑⪆2233344","layer":2},{"info":"⩩⇑⪆2233344=NaN","layer":1},{"info":"⇑⪆131004⩒⫫⇑⪆13400=⇑⪆123302","layer":3},{"info":"⇑⪆123302⫲=⇑⪆121204","layer":2},{"info":"⇑⪆14423⨸⇑⪆120001=⇑⪆34401","layer":3},{"info":"≻⋜⇑⪆14130=NaN","layer":3},{"info":"⇑⪆34401⩺⪪NaN=NaN","layer":2},{"info":"⇑⪆121204⨔≚≋NaN=NaN","layer":1},{"info":"NaN⫚↹⊑NaN=⇑⪆-3242","layer":0}]}
{"id":277,"expression_no_base_symbol":"≦∁(((⊵⊁$5509$)+$6224$⪒⊣⊆$1432$)⋫)","expression":"≦∁(((⊵⊁⇑⪆134014)+⇑⪆144344⪒⊣⊆⇑⪆21212)⋫)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":44462,"operation_count":5,"complexity_ratio":8892.4,"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":5509,"base":5}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":6224,"base":5},"right_expr":{"type":"numeric_atoms","value":1432,"base":5}}}}},"used_operators":["9ICcGScMcE","JL8yIekQnl","W4YGzv6Whe","AvED76WdY7","eRqsBgTDFp"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","tmPS8pqC7x","uBihLCJcMX","k8jYdgA6NY","sdazOOVcIp","W4YGzv6Whe"],"result":"⇑⪆2410212","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5509","layer":4},{"info":"compute unary expreesion, input=5509, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=31984","layer":3},{"info":"number node, value=6224","layer":4},{"info":"number node, value=1432","layer":4},{"info":"compute binary expreesion, left_input=6224, right_input=1432, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=12448","layer":3},{"info":"compute binary expreesion, left_input=31984, right_input=12448, op_id = W4YGzv6Whe binary_op_definition= 'None', output=44432","layer":2},{"info":"compute unary expreesion, input=44432, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=44432","layer":1},{"info":"compute unary expreesion, input=44432, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=44432","layer":0}],"base":5,"result_base":5,"text":"≦∁(((⊵⊁⇑⪆134014)+⇑⪆144344⪒⊣⊆⇑⪆21212)⋫)=⇑⪆2410212","reverse_text":"⇑⪆2410212=≦∁(((⊵⊁⇑⪆134014)+⇑⪆144344⪒⊣⊆⇑⪆21212)⋫)","cot":[{"info":"⊵⊁⇑⪆134014=⇑⪆2010414","layer":3},{"info":"⇑⪆144344⪒⊣⊆⇑⪆21212=⇑⪆344243","layer":3},{"info":"⇑⪆2010414+⇑⪆344243=⇑⪆2410212","layer":2},{"info":"⇑⪆2410212⋫=⇑⪆2410212","layer":1},{"info":"≦∁⇑⪆2410212=⇑⪆2410212","layer":0}]}
{"id":278,"expression_no_base_symbol":"(($2572$⪉⨛$6609$)⪘⫢$2435$⪟⇏$1490$⇀∌)⪒($4549$⫦⪉$1290$)⊋(⇘$1804$)⇷(($6427$/$1507$)∙⊟($2155$⊴⇁⪶))","expression":"((⇑⪆40242⪉⨛⇑⪆202414)⪘⫢⇑⪆34220⪟⇏⇑⪆21430⇀∌)⪒(⇑⪆121144⫦⪉⇑⪆20130)⊋(⇘⇑⪆24204)⇷((⇑⪆201202/⇑⪆22012)∙⊟(⇑⪆32110⊴⇁⪶))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":219767,"operation_count":12,"complexity_ratio":18313.916666666668,"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":2572,"base":5},"right_expr":{"type":"numeric_atoms","value":6609,"base":5}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2435,"base":5},"right_expr":{"type":"numeric_atoms","value":1490,"base":5}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4549,"base":5},"right_expr":{"type":"numeric_atoms","value":1290,"base":5}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1804,"base":5}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6427,"base":5},"right_expr":{"type":"numeric_atoms","value":1507,"base":5}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":2155,"base":5}}}}},"used_operators":["f6k1SAg4EE","2k53nXOpI5","oacrs7FA3X","EWw2JM7wp4","GODebY97qR","mp7IySMOzn","W4tP9CfskL","wscyQdcy20","MGuIdZPyUC","SxTAKzQCrw","XhwjNDsVaA","oo9mF6JIpo"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2572","layer":4},{"info":"number node, value=6609","layer":4},{"info":"compute binary expreesion, left_input=2572, right_input=6609, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1322","layer":3},{"info":"number node, value=2435","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=2435, right_input=1490, 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=1322, right_input=-1, 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 = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":1},{"info":"number node, value=4549","layer":4},{"info":"number node, value=1290","layer":4},{"info":"compute binary expreesion, left_input=4549, right_input=1290, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-4198","layer":3},{"info":"number node, value=1804","layer":4},{"info":"compute unary expreesion, input=1804, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=102622","layer":3},{"info":"compute binary expreesion, left_input=-4198, right_input=102622, 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":"number node, value=6427","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=6427, right_input=1507, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"number node, value=2155","layer":4},{"info":"compute unary expreesion, input=2155, 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=39732","layer":3},{"info":"compute binary expreesion, left_input=4, right_input=39732, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22233","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=22233, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=44466","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=44466, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆40242⪉⨛⇑⪆202414)⪘⫢⇑⪆34220⪟⇏⇑⪆21430⇀∌)⪒(⇑⪆121144⫦⪉⇑⪆20130)⊋(⇘⇑⪆24204)⇷((⇑⪆201202/⇑⪆22012)∙⊟(⇑⪆32110⊴⇁⪶))=NaN","reverse_text":"NaN=((⇑⪆40242⪉⨛⇑⪆202414)⪘⫢⇑⪆34220⪟⇏⇑⪆21430⇀∌)⪒(⇑⪆121144⫦⪉⇑⪆20130)⊋(⇘⇑⪆24204)⇷((⇑⪆201202/⇑⪆22012)∙⊟(⇑⪆32110⊴⇁⪶))","cot":[{"info":"⇑⪆40242⪉⨛⇑⪆202414=⇑⪆20242","layer":3},{"info":"⇑⪆34220⪟⇏⇑⪆21430=⇑⪆-1","layer":3},{"info":"⇑⪆20242⪘⫢⇑⪆-1=⇑⪆0","layer":2},{"info":"⇑⪆0⇀∌=NaN","layer":1},{"info":"⇑⪆121144⫦⪉⇑⪆20130=⇑⪆-113243","layer":3},{"info":"⇘⇑⪆24204=⇑⪆11240442","layer":3},{"info":"⇑⪆-113243⊋⇑⪆11240442=-Inf","layer":2},{"info":"⇑⪆201202/⇑⪆22012=⇑⪆4","layer":3},{"info":"⇑⪆32110⊴⇁⪶=⇑⪆2232412","layer":3},{"info":"⇑⪆4∙⊟⇑⪆2232412=⇑⪆1202413","layer":2},{"info":"-Inf⇷⇑⪆1202413=⇑⪆2410331","layer":1},{"info":"NaN⪒⇑⪆2410331=NaN","layer":0}]}
{"id":279,"expression_no_base_symbol":"⊑(⇨(($2835$⫚↹⊑$4179$)⨪↰⇹($5198$∲⫓$1064$)))","expression":"⊑(⇨((⇑⪆42320⫚↹⊑⇑⪆113204)⨪↰⇹(⇑⪆131243∲⫓⇑⪆13224)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":874,"operation_count":5,"complexity_ratio":174.8,"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":2835,"base":5},"right_expr":{"type":"numeric_atoms","value":4179,"base":5}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5198,"base":5},"right_expr":{"type":"numeric_atoms","value":1064,"base":5}}}}},"used_operators":["IkUmn0D7oy","G9tJMlZ94a","tmPS8pqC7x","dfKe02y8D2","i8ToyICDmI"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","k8jYdgA6NY","rJVOvQCfKK","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆1232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2835","layer":4},{"info":"number node, value=4179","layer":4},{"info":"compute binary expreesion, left_input=2835, right_input=4179, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=5198","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=5198, right_input=1064, 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=-447, 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=447","layer":2},{"info":"compute unary expreesion, input=447, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":5,"result_base":5,"text":"⊑(⇨((⇑⪆42320⫚↹⊑⇑⪆113204)⨪↰⇹(⇑⪆131243∲⫓⇑⪆13224)))=⇑⪆1232","reverse_text":"⇑⪆1232=⊑(⇨((⇑⪆42320⫚↹⊑⇑⪆113204)⨪↰⇹(⇑⪆131243∲⫓⇑⪆13224)))","cot":[{"info":"⇑⪆42320⫚↹⊑⇑⪆113204=⇑⪆-3242","layer":3},{"info":"⇑⪆131243∲⫓⇑⪆13224=⇑⪆0","layer":3},{"info":"⇑⪆-3242⨪↰⇹⇑⪆0=⇑⪆3242","layer":2},{"info":"⇨⇑⪆3242=⇑⪆0","layer":1},{"info":"⊑⇑⪆0=⇑⪆1232","layer":0}]}
{"id":280,"expression_no_base_symbol":"(⊙↵-(⊑($3620$⪇≇⋚$2998$)))⨟⋌⩍(≸(≪($1021$∑⇟⊟$1613$)))","expression":"(⊙↵-(⊑(⇑⪆103440⪇≇⋚⇑⪆43443)))⨟⋌⩍(≸(≪(⇑⪆13041∑⇟⊟⇑⪆22423)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":973,"operation_count":7,"complexity_ratio":139.0,"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":3620,"base":5},"right_expr":{"type":"numeric_atoms","value":2998,"base":5}}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1021,"base":5},"right_expr":{"type":"numeric_atoms","value":1613,"base":5}}}}},"used_operators":["rGHVDoGpnC","oWn0xqSxBt","IkUmn0D7oy","3sJ7IOPOlU","eOf03JbCpp","Qtd6bqUJcN","U7g4x0WXJJ"],"dependent_operators":["Tcnh7f0tEr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3620","layer":4},{"info":"number node, value=2998","layer":4},{"info":"compute binary expreesion, left_input=3620, right_input=2998, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', 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 unary expreesion, input=192, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"number node, value=1021","layer":4},{"info":"number node, value=1613","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=1613, 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 = 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 = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=58, 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":5,"result_base":5,"text":"(⊙↵-(⊑(⇑⪆103440⪇≇⋚⇑⪆43443)))⨟⋌⩍(≸(≪(⇑⪆13041∑⇟⊟⇑⪆22423)))=⇑⪆0","reverse_text":"⇑⪆0=(⊙↵-(⊑(⇑⪆103440⪇≇⋚⇑⪆43443)))⨟⋌⩍(≸(≪(⇑⪆13041∑⇟⊟⇑⪆22423)))","cot":[{"info":"⇑⪆103440⪇≇⋚⇑⪆43443=⇑⪆0","layer":3},{"info":"⊑⇑⪆0=⇑⪆1232","layer":2},{"info":"⊙↵-⇑⪆1232=⇑⪆0","layer":1},{"info":"⇑⪆13041∑⇟⊟⇑⪆22423=NaN","layer":3},{"info":"≪NaN=⇑⪆12123","layer":2},{"info":"≸⇑⪆12123=⇑⪆213","layer":1},{"info":"⇑⪆0⨟⋌⩍⇑⪆213=⇑⪆0","layer":0}]}
{"id":281,"expression_no_base_symbol":"(⇤←$3542$⨻⩈⩔$1197$⨓(⨝⨆$3960$))⨸($4519$⊴$3621$⫢⨠$4283$⫒⫫$4510$*($1006$∁)⇴∐$1355$∼$2785$)","expression":"(⇤←⇑⪆103132⨻⩈⩔⇑⪆14242⨓(⨝⨆⇑⪆111320))⨸(⇑⪆121034⊴⇑⪆103441⫢⨠⇑⪆114113⫒⫫⇑⪆121020*(⇑⪆13011∁)⇴∐⇑⪆20410∼⇑⪆42120)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":31347,"operation_count":12,"complexity_ratio":2612.25,"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":3542,"base":5},"right_expr":{"type":"numeric_atoms","value":1197,"base":5}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":3960,"base":5}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4519,"base":5},"right_expr":{"type":"numeric_atoms","value":3621,"base":5}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4283,"base":5},"right_expr":{"type":"numeric_atoms","value":4510,"base":5}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":1006,"base":5}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1355,"base":5},"right_expr":{"type":"numeric_atoms","value":2785,"base":5}}}}},"used_operators":["KmoU8R5UQR","jfAgQ2OQeM","3ViojmjbAp","nEsXyWgiOK","bQ67fsrMVf","9HNa5Wba9A","xlXykHWxX1","Nsiff2A1zJ","6Ko8hGgeMq","HnzytWxmAO","jdwGQqwJi5","DyGG3AbaNP"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","tifHPKVTfV","W4YGzv6Whe","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","2DDjHMKMc0","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⇑⪆232001","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3542","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=3542, right_input=1197, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=19935","layer":3},{"info":"number node, value=3960","layer":4},{"info":"compute unary expreesion, input=3960, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=3751","layer":3},{"info":"compute binary expreesion, left_input=19935, right_input=3751, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3754","layer":2},{"info":"compute unary expreesion, input=-3754, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=4188","layer":1},{"info":"number node, value=4519","layer":4},{"info":"number node, value=3621","layer":4},{"info":"compute binary expreesion, left_input=4519, right_input=3621, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4283","layer":4},{"info":"number node, value=4510","layer":4},{"info":"compute binary expreesion, left_input=4283, right_input=4510, 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 = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=1006","layer":3},{"info":"number node, value=1355","layer":4},{"info":"number node, value=2785","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=2785, 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=1006, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4188, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=8376","layer":0}],"base":5,"result_base":5,"text":"(⇤←⇑⪆103132⨻⩈⩔⇑⪆14242⨓(⨝⨆⇑⪆111320))⨸(⇑⪆121034⊴⇑⪆103441⫢⨠⇑⪆114113⫒⫫⇑⪆121020*(⇑⪆13011∁)⇴∐⇑⪆20410∼⇑⪆42120)=⇑⪆232001","reverse_text":"⇑⪆232001=(⇤←⇑⪆103132⨻⩈⩔⇑⪆14242⨓(⨝⨆⇑⪆111320))⨸(⇑⪆121034⊴⇑⪆103441⫢⨠⇑⪆114113⫒⫫⇑⪆121020*(⇑⪆13011∁)⇴∐⇑⪆20410∼⇑⪆42120)","cot":[{"info":"⇑⪆103132⨻⩈⩔⇑⪆14242=⇑⪆1114220","layer":3},{"info":"⨝⨆⇑⪆111320=⇑⪆110001","layer":3},{"info":"⇑⪆1114220⨓⇑⪆110001=⇑⪆-110004","layer":2},{"info":"⇤←⇑⪆-110004=⇑⪆113223","layer":1},{"info":"⇑⪆121034⊴⇑⪆103441=NaN","layer":3},{"info":"⇑⪆114113⫒⫫⇑⪆121020=NaN","layer":3},{"info":"NaN⫢⨠NaN=NaN","layer":2},{"info":"⇑⪆13011∁=⇑⪆13011","layer":3},{"info":"⇑⪆20410∼⇑⪆42120=NaN","layer":3},{"info":"⇑⪆13011⇴∐NaN=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"⇑⪆113223⨸NaN=⇑⪆232001","layer":0}]}
{"id":282,"expression_no_base_symbol":"(($3441$⋻⩜⩜$5548$)⊢($3812$≣⋋)⪁$2176$⪢$1019$∝(≦∁$1018$))⪛(∓⪦($3042$⩵∡$5630$))⪥(↣≠⋷$2140$)⪟⇏(⨂⪏⇭$6875$)","expression":"((⇑⪆102231⋻⩜⩜⇑⪆134143)⊢(⇑⪆110222≣⋋)⪁⇑⪆32201⪢⇑⪆13034∝(≦∁⇑⪆13033))⪛(∓⪦(⇑⪆44132⩵∡⇑⪆140010))⪥(↣≠⋷⇑⪆32030)⪟⇏(⨂⪏⇭⇑⪆210000)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":93647,"operation_count":14,"complexity_ratio":6689.071428571428,"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":3441,"base":5},"right_expr":{"type":"numeric_atoms","value":5548,"base":5}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3812,"base":5}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2176,"base":5},"right_expr":{"type":"numeric_atoms","value":1019,"base":5}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1018,"base":5}}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3042,"base":5},"right_expr":{"type":"numeric_atoms","value":5630,"base":5}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2140,"base":5}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":6875,"base":5}}}}},"used_operators":["uFcxV4UQCh","I7sXao9hZE","5twsqlHp2o","oDCm7WA9JY","Tcnh7f0tEr","cTDWOvIxvz","dWAJyo7jo9","9ICcGScMcE","QbnwKVWMIQ","D309nIvmXG","Y7wcNGrDQJ","GODebY97qR","Asc51vEJeQ","AYdpE9sXAk"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","7j4O788W3g","W4YGzv6Whe","COABgblf1C","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","NTOWxs364D","glklzrTFfD","tifHPKVTfV","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","XhwjNDsVaA","AHs5Up7iyr","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3441","layer":4},{"info":"number node, value=5548","layer":4},{"info":"compute binary expreesion, left_input=3441, right_input=5548, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=6882","layer":3},{"info":"number node, value=3812","layer":4},{"info":"compute unary expreesion, input=3812, 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=6882, right_input=0, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-14008","layer":2},{"info":"number node, value=2176","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=2176, right_input=1019, 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=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1018","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1018, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-14008, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=3042","layer":4},{"info":"number node, value=5630","layer":4},{"info":"compute binary expreesion, left_input=3042, right_input=5630, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-575","layer":3},{"info":"compute unary expreesion, input=-575, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-2796","layer":2},{"info":"number node, value=2140","layer":4},{"info":"compute unary expreesion, input=2140, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=6875","layer":4},{"info":"compute unary expreesion, input=6875, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=19646","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=19646, 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=-2796, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-15524","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-15524, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆102231⋻⩜⩜⇑⪆134143)⊢(⇑⪆110222≣⋋)⪁⇑⪆32201⪢⇑⪆13034∝(≦∁⇑⪆13033))⪛(∓⪦(⇑⪆44132⩵∡⇑⪆140010))⪥(↣≠⋷⇑⪆32030)⪟⇏(⨂⪏⇭⇑⪆210000)=NaN","reverse_text":"NaN=((⇑⪆102231⋻⩜⩜⇑⪆134143)⊢(⇑⪆110222≣⋋)⪁⇑⪆32201⪢⇑⪆13034∝(≦∁⇑⪆13033))⪛(∓⪦(⇑⪆44132⩵∡⇑⪆140010))⪥(↣≠⋷⇑⪆32030)⪟⇏(⨂⪏⇭⇑⪆210000)","cot":[{"info":"⇑⪆102231⋻⩜⩜⇑⪆134143=⇑⪆210012","layer":3},{"info":"⇑⪆110222≣⋋=⇑⪆0","layer":3},{"info":"⇑⪆210012⊢⇑⪆0=⇑⪆-422013","layer":2},{"info":"⇑⪆32201⪢⇑⪆13034=NaN","layer":3},{"info":"≦∁⇑⪆13033=⇑⪆13033","layer":3},{"info":"NaN∝⇑⪆13033=NaN","layer":2},{"info":"⇑⪆-422013⪁NaN=NaN","layer":1},{"info":"⇑⪆44132⩵∡⇑⪆140010=⇑⪆-4300","layer":3},{"info":"∓⪦⇑⪆-4300=⇑⪆-42141","layer":2},{"info":"↣≠⋷⇑⪆32030=NaN","layer":3},{"info":"⨂⪏⇭⇑⪆210000=⇑⪆1112041","layer":3},{"info":"NaN⪟⇏⇑⪆1112041=NaN","layer":2},{"info":"⇑⪆-42141⪥NaN=⇑⪆-444044","layer":1},{"info":"NaN⪛⇑⪆-444044=NaN","layer":0}]}
{"id":283,"expression_no_base_symbol":"(($4763$⊹≧⊝)⪬($1092$⪭≯$1779$)≎⊠⪸($1153$⊹∫⫚$4349$⪉⨛(∡$2528$)))∑⇟⊟(($1414$⋣⋖$1776$)+⪬∐$2234$≝⊿$1007$⋅⇍($2982$↱$1206$)⊹∫⫚$3771$⪛$1900$)","expression":"((⇑⪆123023⊹≧⊝)⪬(⇑⪆13332⪭≯⇑⪆24104)≎⊠⪸(⇑⪆14103⊹∫⫚⇑⪆114344⪉⨛(∡⇑⪆40103)))∑⇟⊟((⇑⪆21124⋣⋖⇑⪆24101)+⪬∐⇑⪆32414≝⊿⇑⪆13012⋅⇍(⇑⪆43412↱⇑⪆14311)⊹∫⫚⇑⪆110041⪛⇑⪆30100)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":632590,"operation_count":15,"complexity_ratio":42172.666666666664,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":4763,"base":5}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1092,"base":5},"right_expr":{"type":"numeric_atoms","value":1779,"base":5}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1153,"base":5},"right_expr":{"type":"numeric_atoms","value":4349,"base":5}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":2528,"base":5}}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1414,"base":5},"right_expr":{"type":"numeric_atoms","value":1776,"base":5}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2234,"base":5},"right_expr":{"type":"numeric_atoms","value":1007,"base":5}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2982,"base":5},"right_expr":{"type":"numeric_atoms","value":1206,"base":5}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3771,"base":5},"right_expr":{"type":"numeric_atoms","value":1900,"base":5}}}}},"used_operators":["U7g4x0WXJJ","bJkvcejdHO","Ez1Nq5fNfI","LxFB4K6j0n","XAx5wpdLa6","EWw2JM7wp4","uWAJUKEvyW","pRsWfj4Fpp","AdZkA7nFnk","2GS7woTJqF","J0M6qkBnIM","OKKcZfAt5B","SR5kFfdi6N","uFcxV4UQCh"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","g55IO6H4Gj","D4vGDi5EA2","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","12rbrZMWeM","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4763","layer":4},{"info":"compute unary expreesion, input=4763, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-19052","layer":3},{"info":"number node, value=1092","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=1779, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-19052, 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=1153","layer":4},{"info":"number node, value=4349","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=4349, 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":"number node, value=2528","layer":4},{"info":"compute unary expreesion, input=2528, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-2528","layer":3},{"info":"compute binary expreesion, left_input=-28, right_input=-2528, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=7715","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=7715, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=319133","layer":1},{"info":"number node, value=1414","layer":4},{"info":"number node, value=1776","layer":4},{"info":"compute binary expreesion, left_input=1414, right_input=1776, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1414","layer":3},{"info":"number node, value=2234","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=2234, right_input=1007, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-4781","layer":3},{"info":"compute binary expreesion, left_input=1414, right_input=-4781, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-4242","layer":2},{"info":"number node, value=2982","layer":4},{"info":"number node, value=1206","layer":4},{"info":"compute binary expreesion, left_input=2982, right_input=1206, 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=-3096","layer":3},{"info":"number node, value=3771","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=3771, right_input=1900, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1871","layer":3},{"info":"compute binary expreesion, left_input=-3096, right_input=1871, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-40","layer":2},{"info":"compute binary expreesion, left_input=-4242, right_input=-40, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=319133, right_input=-22, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆123023⊹≧⊝)⪬(⇑⪆13332⪭≯⇑⪆24104)≎⊠⪸(⇑⪆14103⊹∫⫚⇑⪆114344⪉⨛(∡⇑⪆40103)))∑⇟⊟((⇑⪆21124⋣⋖⇑⪆24101)+⪬∐⇑⪆32414≝⊿⇑⪆13012⋅⇍(⇑⪆43412↱⇑⪆14311)⊹∫⫚⇑⪆110041⪛⇑⪆30100)=NaN","reverse_text":"NaN=((⇑⪆123023⊹≧⊝)⪬(⇑⪆13332⪭≯⇑⪆24104)≎⊠⪸(⇑⪆14103⊹∫⫚⇑⪆114344⪉⨛(∡⇑⪆40103)))∑⇟⊟((⇑⪆21124⋣⋖⇑⪆24101)+⪬∐⇑⪆32414≝⊿⇑⪆13012⋅⇍(⇑⪆43412↱⇑⪆14311)⊹∫⫚⇑⪆110041⪛⇑⪆30100)","cot":[{"info":"⇑⪆123023⊹≧⊝=⇑⪆-1102202","layer":3},{"info":"⇑⪆13332⪭≯⇑⪆24104=NaN","layer":3},{"info":"⇑⪆-1102202⪬NaN=⇑⪆14414","layer":2},{"info":"⇑⪆14103⊹∫⫚⇑⪆114344=⇑⪆-103","layer":3},{"info":"∡⇑⪆40103=⇑⪆-40103","layer":3},{"info":"⇑⪆-103⪉⨛⇑⪆-40103=⇑⪆221330","layer":2},{"info":"⇑⪆14414≎⊠⪸⇑⪆221330=⇑⪆40203013","layer":1},{"info":"⇑⪆21124⋣⋖⇑⪆24101=⇑⪆21124","layer":3},{"info":"⇑⪆32414≝⊿⇑⪆13012=⇑⪆-123111","layer":3},{"info":"⇑⪆21124+⪬∐⇑⪆-123111=⇑⪆-113432","layer":2},{"info":"⇑⪆43412↱⇑⪆14311=⇑⪆-44341","layer":3},{"info":"⇑⪆110041⪛⇑⪆30100=⇑⪆24441","layer":3},{"info":"⇑⪆-44341⊹∫⫚⇑⪆24441=⇑⪆-130","layer":2},{"info":"⇑⪆-113432⋅⇍⇑⪆-130=⇑⪆-42","layer":1},{"info":"⇑⪆40203013∑⇟⊟⇑⪆-42=NaN","layer":0}]}
{"id":284,"expression_no_base_symbol":"(($1392$≝⊰⇂)≃⋄)⫞⩸⩒($2307$⫉⨲⊜$5476$∩⋅)⫥∨⫟(($1435$⨭⪣$2130$)∣$1070$⨚$1638$⪉⨛($2810$⨹)⇴$3032$⨟⋌⩍$8202$)","expression":"((⇑⪆21032≝⊰⇂)≃⋄)⫞⩸⩒(⇑⪆33212⫉⨲⊜⇑⪆133401∩⋅)⫥∨⫟((⇑⪆21220⨭⪣⇑⪆32010)∣⇑⪆13240⨚⇑⪆23023⪉⨛(⇑⪆42220⨹)⇴⇑⪆44112⨟⋌⩍⇑⪆230302)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4943,"operation_count":13,"complexity_ratio":380.2307692307692,"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":1392,"base":5}}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2307,"base":5},"right_expr":{"type":"numeric_atoms","value":5476,"base":5}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1435,"base":5},"right_expr":{"type":"numeric_atoms","value":2130,"base":5}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1070,"base":5},"right_expr":{"type":"numeric_atoms","value":1638,"base":5}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":2810,"base":5}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3032,"base":5},"right_expr":{"type":"numeric_atoms","value":8202,"base":5}}}}},"used_operators":["KYD54nUTWz","XGcMNugi78","aN9a90urxU","htSmYCowi5","2MzE1hQ0cz","WhqkvtTD3t","EWw2JM7wp4","PPChnnnBFF","kn8WO9XteQ","nREPSIbpBE","4JB6nKBMSY","UnCoSGIALn","rGHVDoGpnC"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","uFcxV4UQCh","jLgFTUHLKL","9FxExcQeMw","DlLNRPXxWL","Qy55tPpLXF","eewbuw0ToL","zVYPLywUTj","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","BjRHVeLaeN","12rbrZMWeM","sdazOOVcIp","NTOWxs364D","COABgblf1C","mp7IySMOzn","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1392","layer":4},{"info":"compute unary expreesion, input=1392, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=nan","layer":2},{"info":"number node, value=2307","layer":4},{"info":"number node, value=5476","layer":4},{"info":"compute binary expreesion, left_input=2307, right_input=5476, 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 = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=121","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=121, 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":"number node, value=1435","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=2130, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=156","layer":3},{"info":"number node, value=1070","layer":4},{"info":"number node, value=1638","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=1638, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-3478","layer":3},{"info":"compute binary expreesion, left_input=156, right_input=-3478, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=801","layer":2},{"info":"number node, value=2810","layer":4},{"info":"compute unary expreesion, input=2810, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=5620","layer":3},{"info":"number node, value=3032","layer":4},{"info":"number node, value=8202","layer":4},{"info":"compute binary expreesion, left_input=3032, right_input=8202, 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=5620, 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=801, 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=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆21032≝⊰⇂)≃⋄)⫞⩸⩒(⇑⪆33212⫉⨲⊜⇑⪆133401∩⋅)⫥∨⫟((⇑⪆21220⨭⪣⇑⪆32010)∣⇑⪆13240⨚⇑⪆23023⪉⨛(⇑⪆42220⨹)⇴⇑⪆44112⨟⋌⩍⇑⪆230302)=NaN","reverse_text":"NaN=((⇑⪆21032≝⊰⇂)≃⋄)⫞⩸⩒(⇑⪆33212⫉⨲⊜⇑⪆133401∩⋅)⫥∨⫟((⇑⪆21220⨭⪣⇑⪆32010)∣⇑⪆13240⨚⇑⪆23023⪉⨛(⇑⪆42220⨹)⇴⇑⪆44112⨟⋌⩍⇑⪆230302)","cot":[{"info":"⇑⪆21032≝⊰⇂=⇑⪆0","layer":3},{"info":"⇑⪆0≃⋄=NaN","layer":2},{"info":"⇑⪆33212⫉⨲⊜⇑⪆133401=⇑⪆0","layer":3},{"info":"⇑⪆0∩⋅=⇑⪆441","layer":2},{"info":"NaN⫞⩸⩒⇑⪆441=NaN","layer":1},{"info":"⇑⪆21220⨭⪣⇑⪆32010=⇑⪆1111","layer":3},{"info":"⇑⪆13240⨚⇑⪆23023=⇑⪆-102403","layer":3},{"info":"⇑⪆1111∣⇑⪆-102403=⇑⪆11201","layer":2},{"info":"⇑⪆42220⨹=⇑⪆134440","layer":3},{"info":"⇑⪆44112⨟⋌⩍⇑⪆230302=NaN","layer":3},{"info":"⇑⪆134440⇴NaN=NaN","layer":2},{"info":"⇑⪆11201⪉⨛NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":285,"expression_no_base_symbol":"∡(($4939$∪⫐$4841$)⪭$5228$⨼⩣$1537$)⩼⇪↪(($1055$≥⨤⩑$5108$)≹⇙⪍($6738$⨸⪁$1983$))","expression":"∡((⇑⪆124224∪⫐⇑⪆123331)⪭⇑⪆131403⨼⩣⇑⪆22122)⩼⇪↪((⇑⪆13210≥⨤⩑⇑⪆130413)≹⇙⪍(⇑⪆203423⨸⪁⇑⪆30413))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":424,"operation_count":8,"complexity_ratio":53.0,"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":4939,"base":5},"right_expr":{"type":"numeric_atoms","value":4841,"base":5}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":5228,"base":5},"right_expr":{"type":"numeric_atoms","value":1537,"base":5}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1055,"base":5},"right_expr":{"type":"numeric_atoms","value":5108,"base":5}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6738,"base":5},"right_expr":{"type":"numeric_atoms","value":1983,"base":5}}}}},"used_operators":["pRsWfj4Fpp","ocnLzx9CaJ","j9kHMeSvPp","7YooWSwCyH","JxwMv5le6e","AHs5Up7iyr","gJLn6v0xnP","g55IO6H4Gj"],"dependent_operators":["D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","COABgblf1C","xUOZtlo3hN","rJVOvQCfKK","2DDjHMKMc0","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","dWAJyo7jo9","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4939","layer":4},{"info":"number node, value=4841","layer":4},{"info":"compute binary expreesion, left_input=4939, right_input=4841, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=4939","layer":3},{"info":"number node, value=5228","layer":4},{"info":"number node, value=1537","layer":4},{"info":"compute binary expreesion, left_input=5228, right_input=1537, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4939, 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=1055","layer":4},{"info":"number node, value=5108","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=5108, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=6738","layer":4},{"info":"number node, value=1983","layer":4},{"info":"compute binary expreesion, left_input=6738, right_input=1983, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17442","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=17442, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"∡((⇑⪆124224∪⫐⇑⪆123331)⪭⇑⪆131403⨼⩣⇑⪆22122)⩼⇪↪((⇑⪆13210≥⨤⩑⇑⪆130413)≹⇙⪍(⇑⪆203423⨸⪁⇑⪆30413))=NaN","reverse_text":"NaN=∡((⇑⪆124224∪⫐⇑⪆123331)⪭⇑⪆131403⨼⩣⇑⪆22122)⩼⇪↪((⇑⪆13210≥⨤⩑⇑⪆130413)≹⇙⪍(⇑⪆203423⨸⪁⇑⪆30413))","cot":[{"info":"⇑⪆124224∪⫐⇑⪆123331=⇑⪆124224","layer":3},{"info":"⇑⪆131403⨼⩣⇑⪆22122=NaN","layer":3},{"info":"⇑⪆124224⪭NaN=NaN","layer":2},{"info":"⇑⪆13210≥⨤⩑⇑⪆130413=⇑⪆14414","layer":3},{"info":"⇑⪆203423⨸⪁⇑⪆30413=⇑⪆1024232","layer":3},{"info":"⇑⪆14414≹⇙⪍⇑⪆1024232=NaN","layer":2},{"info":"NaN⩼⇪↪NaN=NaN","layer":1},{"info":"∡NaN=NaN","layer":0}]}
{"id":286,"expression_no_base_symbol":"(($5044$≓∲$9634$)⪕($6475$⪉⨛$1111$))∳⫺(($5861$⫰⋱$5461$)⊭∹↮)⩒⫫((⫎≠⋺$1881$⇂≾⫗$4909$)*(⫡⇟⇯($1377$⫥∨⫟$1584$)))","expression":"((⇑⪆130134≓∲⇑⪆302014)⪕(⇑⪆201400⪉⨛⇑⪆13421))∳⫺((⇑⪆141421⫰⋱⇑⪆133321)⊭∹↮)⩒⫫((⫎≠⋺⇑⪆30011⇂≾⫗⇑⪆124114)*(⫡⇟⇯(⇑⪆21002⫥∨⫟⇑⪆22314)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":409,"operation_count":12,"complexity_ratio":34.083333333333336,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":5044,"base":5},"right_expr":{"type":"numeric_atoms","value":9634,"base":5}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":6475,"base":5},"right_expr":{"type":"numeric_atoms","value":1111,"base":5}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":5861,"base":5},"right_expr":{"type":"numeric_atoms","value":5461,"base":5}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1881,"base":5},"right_expr":{"type":"numeric_atoms","value":4909,"base":5}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1377,"base":5},"right_expr":{"type":"numeric_atoms","value":1584,"base":5}}}}},"used_operators":["KFSx94NKJn","AzXXKTstlj","umQnsF7QlU","s1XTVnmDOJ","EWw2JM7wp4","xNBdhnnwKq","6o9Blt3TJ6","9HNa5Wba9A","LYeZOJ0nQG","aBQ6xLxuTc","qWUSsah53b","KYD54nUTWz"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","DZ8iAZOCBD","P8v4zCKN1o","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5044","layer":4},{"info":"number node, value=9634","layer":4},{"info":"compute binary expreesion, left_input=5044, right_input=9634, 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=51223","layer":3},{"info":"number node, value=6475","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=6475, right_input=1111, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=18529","layer":3},{"info":"compute binary expreesion, left_input=51223, right_input=18529, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=84818","layer":2},{"info":"number node, value=5861","layer":4},{"info":"number node, value=5461","layer":4},{"info":"compute binary expreesion, left_input=5861, right_input=5461, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-5828","layer":3},{"info":"compute unary expreesion, input=-5828, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-5828","layer":2},{"info":"compute binary expreesion, left_input=84818, right_input=-5828, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=1881","layer":4},{"info":"number node, value=4909","layer":4},{"info":"compute binary expreesion, left_input=1881, right_input=4909, 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 = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":2},{"info":"number node, value=1377","layer":4},{"info":"number node, value=1584","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=1584, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', 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=-709, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-260, 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":5,"result_base":5,"text":"((⇑⪆130134≓∲⇑⪆302014)⪕(⇑⪆201400⪉⨛⇑⪆13421))∳⫺((⇑⪆141421⫰⋱⇑⪆133321)⊭∹↮)⩒⫫((⫎≠⋺⇑⪆30011⇂≾⫗⇑⪆124114)*(⫡⇟⇯(⇑⪆21002⫥∨⫟⇑⪆22314)))=NaN","reverse_text":"NaN=((⇑⪆130134≓∲⇑⪆302014)⪕(⇑⪆201400⪉⨛⇑⪆13421))∳⫺((⇑⪆141421⫰⋱⇑⪆133321)⊭∹↮)⩒⫫((⫎≠⋺⇑⪆30011⇂≾⫗⇑⪆124114)*(⫡⇟⇯(⇑⪆21002⫥∨⫟⇑⪆22314)))","cot":[{"info":"⇑⪆130134≓∲⇑⪆302014=⇑⪆3114343","layer":3},{"info":"⇑⪆201400⪉⨛⇑⪆13421=⇑⪆1043104","layer":3},{"info":"⇑⪆3114343⪕⇑⪆1043104=⇑⪆10203233","layer":2},{"info":"⇑⪆141421⫰⋱⇑⪆133321=⇑⪆-141303","layer":3},{"info":"⇑⪆-141303⊭∹↮=⇑⪆-141303","layer":2},{"info":"⇑⪆10203233∳⫺⇑⪆-141303=⇑⪆-2020","layer":1},{"info":"⇑⪆30011⇂≾⫗⇑⪆124114=⇑⪆-10201","layer":3},{"info":"⫎≠⋺⇑⪆-10201=⇑⪆-10314","layer":2},{"info":"⇑⪆21002⫥∨⫟⇑⪆22314=NaN","layer":3},{"info":"⫡⇟⇯NaN=NaN","layer":2},{"info":"⇑⪆-10314*NaN=NaN","layer":1},{"info":"⇑⪆-2020⩒⫫NaN=NaN","layer":0}]}
{"id":287,"expression_no_base_symbol":"(⊬↢($2188$⩌⋺$8270$))↬(⨰⫟⨤($6584$⪘⨀))⫚↹⊑(⊀($1099$≳⇉$5266$))⨑≵⋬$1059$∳⫺$4520$→⨶⪴($6553$⫌⩹⨱)","expression":"(⊬↢(⇑⪆32223⩌⋺⇑⪆231040))↬(⨰⫟⨤(⇑⪆202314⪘⨀))⫚↹⊑(⊀(⇑⪆13344≳⇉⇑⪆132031))⨑≵⋬⇑⪆13214∳⫺⇑⪆121040→⨶⪴(⇑⪆202203⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":357325120,"operation_count":12,"complexity_ratio":29777093.333333332,"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":2188,"base":5},"right_expr":{"type":"numeric_atoms","value":8270,"base":5}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":6584,"base":5}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1099,"base":5},"right_expr":{"type":"numeric_atoms","value":5266,"base":5}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1059,"base":5},"right_expr":{"type":"numeric_atoms","value":4520,"base":5}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":6553,"base":5}}}}},"used_operators":["dfKe02y8D2","B5M0gjZbta","WPoGxAaPR1","g7Hmc5v1ko","Tw270M8GLb","aA7tF3KVD3","XnXgA4xnOs","oPMjh9089D","V0kx6qeWkN","bF6eod5Gvf","AzXXKTstlj","EBcxylXtPf"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rGHVDoGpnC","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","8w2t5hMYqp","9FxExcQeMw","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","rysDP5nf3Z"],"result":"⇑⪆-3242","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2188","layer":4},{"info":"number node, value=8270","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=8270, 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=-10579","layer":3},{"info":"compute unary expreesion, input=-10579, 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=6584","layer":4},{"info":"compute unary expreesion, input=6584, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-13749","layer":3},{"info":"compute unary expreesion, input=-13749, 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=-55, 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=1099","layer":4},{"info":"number node, value=5266","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=5266, 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 = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"number node, value=1059","layer":4},{"info":"number node, value=4520","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=4520, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-4742","layer":3},{"info":"number node, value=6553","layer":4},{"info":"compute unary expreesion, input=6553, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=14507","layer":3},{"info":"compute binary expreesion, left_input=-4742, right_input=14507, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-43521","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-43521, 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 = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":5,"result_base":5,"text":"(⊬↢(⇑⪆32223⩌⋺⇑⪆231040))↬(⨰⫟⨤(⇑⪆202314⪘⨀))⫚↹⊑(⊀(⇑⪆13344≳⇉⇑⪆132031))⨑≵⋬⇑⪆13214∳⫺⇑⪆121040→⨶⪴(⇑⪆202203⫌⩹⨱)=⇑⪆-3242","reverse_text":"⇑⪆-3242=(⊬↢(⇑⪆32223⩌⋺⇑⪆231040))↬(⨰⫟⨤(⇑⪆202314⪘⨀))⫚↹⊑(⊀(⇑⪆13344≳⇉⇑⪆132031))⨑≵⋬⇑⪆13214∳⫺⇑⪆121040→⨶⪴(⇑⪆202203⫌⩹⨱)","cot":[{"info":"⇑⪆32223⩌⋺⇑⪆231040=⇑⪆-314304","layer":3},{"info":"⊬↢⇑⪆-314304=⇑⪆-210","layer":2},{"info":"⇑⪆202314⪘⨀=⇑⪆-414444","layer":3},{"info":"⨰⫟⨤⇑⪆-414444=NaN","layer":2},{"info":"⇑⪆-210↬NaN=NaN","layer":1},{"info":"⇑⪆13344≳⇉⇑⪆132031=NaN","layer":3},{"info":"⊀NaN=NaN","layer":2},{"info":"⇑⪆13214∳⫺⇑⪆121040=⇑⪆-122432","layer":3},{"info":"⇑⪆202203⫌⩹⨱=⇑⪆431012","layer":3},{"info":"⇑⪆-122432→⨶⪴⇑⪆431012=⇑⪆-2343041","layer":2},{"info":"NaN⨑≵⋬⇑⪆-2343041=NaN","layer":1},{"info":"NaN⫚↹⊑NaN=⇑⪆-3242","layer":0}]}
{"id":288,"expression_no_base_symbol":"(($1820$↙$1555$)⇌⫙⪟($1368$≭$1190$))≦↸($1024$⊮⊟↴$4061$⩍⋽⫝̸$2319$⊕∕$1886$)⫌⩉⩟(($1209$⇷$1119$)⊫∞)⪨⊡($3693$∀⇚≩$1665$)≀⫉$2863$≌$1573$","expression":"((⇑⪆24240↙⇑⪆22210)⇌⫙⪟(⇑⪆20433≭⇑⪆14230))≦↸(⇑⪆13044⊮⊟↴⇑⪆112221⩍⋽⫝̸⇑⪆33234⊕∕⇑⪆30021)⫌⩉⩟((⇑⪆14314⇷⇑⪆13434)⊫∞)⪨⊡(⇑⪆104233∀⇚≩⇑⪆23130)≀⫉⇑⪆42423≌⇑⪆22243","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":69926,"operation_count":14,"complexity_ratio":4994.714285714285,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1820,"base":5},"right_expr":{"type":"numeric_atoms","value":1555,"base":5}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1368,"base":5},"right_expr":{"type":"numeric_atoms","value":1190,"base":5}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1024,"base":5},"right_expr":{"type":"numeric_atoms","value":4061,"base":5}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2319,"base":5},"right_expr":{"type":"numeric_atoms","value":1886,"base":5}}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1209,"base":5},"right_expr":{"type":"numeric_atoms","value":1119,"base":5}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3693,"base":5},"right_expr":{"type":"numeric_atoms","value":1665,"base":5}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2863,"base":5},"right_expr":{"type":"numeric_atoms","value":1573,"base":5}}}}},"used_operators":["XIIwhv8d0m","RygbFNSyEJ","AFVx7xoS7T","yyfyN0ffXY","rxpJgHHUmx","BiWNJpBvwn","QDVgd2eftb","9cloC0Ngie","kuIXHzHcAH","pABnYW3G3E","mp7IySMOzn","oZj3VtZNQx","LRNGc0VcxI","lyWz822IDG"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","Ph9nP6C5qx","xUOZtlo3hN","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","X99M06cbEe","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"⇑⪆-200","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1820","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=1820, right_input=1555, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4665","layer":3},{"info":"number node, value=1368","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=1190, 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=-4665, 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=1024","layer":4},{"info":"number node, value=4061","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=4061, 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=2319","layer":4},{"info":"number node, value=1886","layer":4},{"info":"compute binary expreesion, left_input=2319, right_input=1886, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2319","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2319, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1373","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1373, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"number node, value=1209","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=1119, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2238","layer":3},{"info":"compute unary expreesion, input=2238, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":2},{"info":"number node, value=3693","layer":4},{"info":"number node, value=1665","layer":4},{"info":"compute binary expreesion, left_input=3693, right_input=1665, 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=2863","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=2863, right_input=1573, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, 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=nan, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆24240↙⇑⪆22210)⇌⫙⪟(⇑⪆20433≭⇑⪆14230))≦↸(⇑⪆13044⊮⊟↴⇑⪆112221⩍⋽⫝̸⇑⪆33234⊕∕⇑⪆30021)⫌⩉⩟((⇑⪆14314⇷⇑⪆13434)⊫∞)⪨⊡(⇑⪆104233∀⇚≩⇑⪆23130)≀⫉⇑⪆42423≌⇑⪆22243=⇑⪆-200","reverse_text":"⇑⪆-200=((⇑⪆24240↙⇑⪆22210)⇌⫙⪟(⇑⪆20433≭⇑⪆14230))≦↸(⇑⪆13044⊮⊟↴⇑⪆112221⩍⋽⫝̸⇑⪆33234⊕∕⇑⪆30021)⫌⩉⩟((⇑⪆14314⇷⇑⪆13434)⊫∞)⪨⊡(⇑⪆104233∀⇚≩⇑⪆23130)≀⫉⇑⪆42423≌⇑⪆22243","cot":[{"info":"⇑⪆24240↙⇑⪆22210=⇑⪆-122130","layer":3},{"info":"⇑⪆20433≭⇑⪆14230=NaN","layer":3},{"info":"⇑⪆-122130⇌⫙⪟NaN=NaN","layer":2},{"info":"⇑⪆13044⊮⊟↴⇑⪆112221=⇑⪆0","layer":3},{"info":"⇑⪆33234⊕∕⇑⪆30021=⇑⪆33234","layer":3},{"info":"⇑⪆0⩍⋽⫝̸⇑⪆33234=⇑⪆20443","layer":2},{"info":"NaN≦↸⇑⪆20443=NaN","layer":1},{"info":"⇑⪆14314⇷⇑⪆13434=⇑⪆32423","layer":3},{"info":"⇑⪆32423⊫∞=⇑⪆0","layer":2},{"info":"⇑⪆104233∀⇚≩⇑⪆23130=NaN","layer":3},{"info":"⇑⪆42423≌⇑⪆22243=NaN","layer":3},{"info":"NaN≀⫉NaN=NaN","layer":2},{"info":"⇑⪆0⪨⊡NaN=NaN","layer":1},{"info":"NaN⫌⩉⩟NaN=⇑⪆-200","layer":0}]}
{"id":289,"expression_no_base_symbol":"(⨙⪌($2272$∝$2168$⋷$6217$⩨$1647$))⪚(⇋↷($6580$∲⫓$2047$))≁($1225$⪘⫢$6284$⨰($1006$⋭≵$3275$))","expression":"(⨙⪌(⇑⪆33042∝⇑⪆32133⋷⇑⪆144332⩨⇑⪆23042))⪚(⇋↷(⇑⪆202310∲⫓⇑⪆31142))≁(⇑⪆14400⪘⫢⇑⪆200114⨰(⇑⪆13011⋭≵⇑⪆101100))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1026,"operation_count":11,"complexity_ratio":93.27272727272727,"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":2272,"base":5},"right_expr":{"type":"numeric_atoms","value":2168,"base":5}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6217,"base":5},"right_expr":{"type":"numeric_atoms","value":1647,"base":5}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6580,"base":5},"right_expr":{"type":"numeric_atoms","value":2047,"base":5}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1225,"base":5},"right_expr":{"type":"numeric_atoms","value":6284,"base":5}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1006,"base":5},"right_expr":{"type":"numeric_atoms","value":3275,"base":5}}}}},"used_operators":["HrjLwUk87U","vEGLkm4Z2k","23Mk6UjR3U","cTDWOvIxvz","2DlMacCsIx","8N2wDY1A35","SWo3A1KBJH","i8ToyICDmI","eewbuw0ToL","oacrs7FA3X","jBncVCNhdl"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2272","layer":4},{"info":"number node, value=2168","layer":4},{"info":"compute binary expreesion, left_input=2272, right_input=2168, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2277","layer":3},{"info":"number node, value=6217","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=6217, right_input=1647, 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=2277, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2277","layer":2},{"info":"compute unary expreesion, input=-2277, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"number node, value=6580","layer":4},{"info":"number node, value=2047","layer":4},{"info":"compute binary expreesion, left_input=6580, right_input=2047, 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 = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=0","layer":2},{"info":"number node, value=1225","layer":4},{"info":"number node, value=6284","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=6284, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2326","layer":3},{"info":"number node, value=1006","layer":4},{"info":"number node, value=3275","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=3275, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=5001","layer":3},{"info":"compute binary expreesion, left_input=2326, right_input=5001, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2665","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-2665, 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=868, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⨙⪌(⇑⪆33042∝⇑⪆32133⋷⇑⪆144332⩨⇑⪆23042))⪚(⇋↷(⇑⪆202310∲⫓⇑⪆31142))≁(⇑⪆14400⪘⫢⇑⪆200114⨰(⇑⪆13011⋭≵⇑⪆101100))=NaN","reverse_text":"NaN=(⨙⪌(⇑⪆33042∝⇑⪆32133⋷⇑⪆144332⩨⇑⪆23042))⪚(⇋↷(⇑⪆202310∲⫓⇑⪆31142))≁(⇑⪆14400⪘⫢⇑⪆200114⨰(⇑⪆13011⋭≵⇑⪆101100))","cot":[{"info":"⇑⪆33042∝⇑⪆32133=⇑⪆33102","layer":3},{"info":"⇑⪆144332⩨⇑⪆23042=⇑⪆0","layer":3},{"info":"⇑⪆33102⋷⇑⪆0=⇑⪆-33102","layer":2},{"info":"⨙⪌⇑⪆-33102=⇑⪆11433","layer":1},{"info":"⇑⪆202310∲⫓⇑⪆31142=⇑⪆0","layer":3},{"info":"⇋↷⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆14400⪘⫢⇑⪆200114=⇑⪆33301","layer":3},{"info":"⇑⪆13011⋭≵⇑⪆101100=⇑⪆130001","layer":3},{"info":"⇑⪆33301⨰⇑⪆130001=⇑⪆-41130","layer":2},{"info":"⇑⪆0≁⇑⪆-41130=NaN","layer":1},{"info":"⇑⪆11433⪚NaN=NaN","layer":0}]}
{"id":290,"expression_no_base_symbol":"((⊈$1219$⨔⇊$4279$)↡⊰⫅($8671$⫔⩽⩺$3547$⋷($2028$⨕⋳)))⋝⋈⪟(⊑(≱⇩⩕$1287$)∌($1429$⪕$4569$))","expression":"((⊈⇑⪆14334⨔⇊⇑⪆114104)↡⊰⫅(⇑⪆234141⫔⩽⩺⇑⪆103142⋷(⇑⪆31103⨕⋳)))⋝⋈⪟(⊑(≱⇩⩕⇑⪆20122)∌(⇑⪆21204⪕⇑⪆121234))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":593,"operation_count":11,"complexity_ratio":53.90909090909091,"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":1219,"base":5},"right_expr":{"type":"numeric_atoms","value":4279,"base":5}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":8671,"base":5},"right_expr":{"type":"numeric_atoms","value":3547,"base":5}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":2028,"base":5}}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1287,"base":5}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1429,"base":5},"right_expr":{"type":"numeric_atoms","value":4569,"base":5}}}}},"used_operators":["2DDjHMKMc0","VCtxkLNOzz","RHru8klgy8","JclMnS0uGI","23Mk6UjR3U","i9eR4S00cU","4X4GscPmMf","IkUmn0D7oy","8cLx32lpNA","3DZMoQKiUl","umQnsF7QlU"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","12rbrZMWeM","xUOZtlo3hN","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","Tw270M8GLb","fu6greOZ01","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1219","layer":4},{"info":"number node, value=4279","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=4279, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4279","layer":3},{"info":"compute unary expreesion, input=4279, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-4453","layer":2},{"info":"number node, value=8671","layer":4},{"info":"number node, value=3547","layer":4},{"info":"compute binary expreesion, left_input=8671, right_input=3547, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=2028","layer":4},{"info":"compute unary expreesion, input=2028, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=98092","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=98092, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4453, 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=1287","layer":4},{"info":"compute unary expreesion, input=1287, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=1429","layer":4},{"info":"number node, value=4569","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=4569, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-55, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=55","layer":2},{"info":"compute unary expreesion, input=55, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⊈⇑⪆14334⨔⇊⇑⪆114104)↡⊰⫅(⇑⪆234141⫔⩽⩺⇑⪆103142⋷(⇑⪆31103⨕⋳)))⋝⋈⪟(⊑(≱⇩⩕⇑⪆20122)∌(⇑⪆21204⪕⇑⪆121234))=NaN","reverse_text":"NaN=((⊈⇑⪆14334⨔⇊⇑⪆114104)↡⊰⫅(⇑⪆234141⫔⩽⩺⇑⪆103142⋷(⇑⪆31103⨕⋳)))⋝⋈⪟(⊑(≱⇩⩕⇑⪆20122)∌(⇑⪆21204⪕⇑⪆121234))","cot":[{"info":"⇑⪆14334⨔⇊⇑⪆114104=⇑⪆114104","layer":3},{"info":"⊈⇑⪆114104=⇑⪆-120303","layer":2},{"info":"⇑⪆234141⫔⩽⩺⇑⪆103142=NaN","layer":3},{"info":"⇑⪆31103⨕⋳=⇑⪆11114332","layer":3},{"info":"NaN⋷⇑⪆11114332=NaN","layer":2},{"info":"⇑⪆-120303↡⊰⫅NaN=NaN","layer":1},{"info":"≱⇩⩕⇑⪆20122=⇑⪆423","layer":3},{"info":"⇑⪆21204⪕⇑⪆121234=⇑⪆-210","layer":3},{"info":"⇑⪆423∌⇑⪆-210=⇑⪆210","layer":2},{"info":"⊑⇑⪆210=⇑⪆1232","layer":1},{"info":"NaN⋝⋈⪟⇑⪆1232=NaN","layer":0}]}
{"id":291,"expression_no_base_symbol":"(($6853$*$2231$⪨≂$6410$⩣⫁∢$1131$)∴≳≥)⩖⊿((($1228$⨔≚≋$1078$)⩁)↓(⩎⋉($1382$⊿∆)))","expression":"((⇑⪆204403*⇑⪆32411⪨≂⇑⪆201120⩣⫁∢⇑⪆14011)∴≳≥)⩖⊿(((⇑⪆14403⨔≚≋⇑⪆13303)⩁)↓(⩎⋉(⇑⪆21012⊿∆)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":25835,"operation_count":10,"complexity_ratio":2583.5,"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":6853,"base":5},"right_expr":{"type":"numeric_atoms","value":2231,"base":5}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":6410,"base":5},"right_expr":{"type":"numeric_atoms","value":1131,"base":5}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1228,"base":5},"right_expr":{"type":"numeric_atoms","value":1078,"base":5}}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":1382,"base":5}}}}},"used_operators":["RZ5CV9rWsJ","a3N2hFLK0J","sdazOOVcIp","9HNa5Wba9A","JDUIKTTSIa","Af076pWI7l","5GqDbVmqXU","Z57zeUYC9z","FlXk3pOYe8","fv3ZujxkQL"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","NTOWxs364D"],"result":"⇑⪆-2000323013000","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6853","layer":4},{"info":"number node, value=2231","layer":4},{"info":"compute binary expreesion, left_input=6853, right_input=2231, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15289043","layer":3},{"info":"number node, value=6410","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=6410, right_input=1131, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-12659","layer":3},{"info":"compute binary expreesion, left_input=15289043, right_input=-12659, 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=30603506","layer":2},{"info":"compute unary expreesion, input=30603506, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=122414024","layer":1},{"info":"number node, value=1228","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=1078, 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 = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-76196","layer":2},{"info":"number node, value=1382","layer":4},{"info":"compute unary expreesion, input=1382, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-2885","layer":3},{"info":"compute unary expreesion, input=-2885, 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=-76196, right_input=1650, 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=122414024, right_input=-134, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-489657250","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆204403*⇑⪆32411⪨≂⇑⪆201120⩣⫁∢⇑⪆14011)∴≳≥)⩖⊿(((⇑⪆14403⨔≚≋⇑⪆13303)⩁)↓(⩎⋉(⇑⪆21012⊿∆)))=⇑⪆-2000323013000","reverse_text":"⇑⪆-2000323013000=((⇑⪆204403*⇑⪆32411⪨≂⇑⪆201120⩣⫁∢⇑⪆14011)∴≳≥)⩖⊿(((⇑⪆14403⨔≚≋⇑⪆13303)⩁)↓(⩎⋉(⇑⪆21012⊿∆)))","cot":[{"info":"⇑⪆204403*⇑⪆32411=⇑⪆12403222133","layer":3},{"info":"⇑⪆201120⩣⫁∢⇑⪆14011=⇑⪆-401114","layer":3},{"info":"⇑⪆12403222133⪨≂⇑⪆-401114=⇑⪆30313303011","layer":2},{"info":"⇑⪆30313303011∴≳≥=⇑⪆222314222044","layer":1},{"info":"⇑⪆14403⨔≚≋⇑⪆13303=⇑⪆303442","layer":3},{"info":"⇑⪆303442⩁=⇑⪆-4414241","layer":2},{"info":"⇑⪆21012⊿∆=⇑⪆-43020","layer":3},{"info":"⩎⋉⇑⪆-43020=⇑⪆23100","layer":2},{"info":"⇑⪆-4414241↓⇑⪆23100=⇑⪆-1014","layer":1},{"info":"⇑⪆222314222044⩖⊿⇑⪆-1014=⇑⪆-2000323013000","layer":0}]}
{"id":292,"expression_no_base_symbol":"($5943$⫳≱↱$1072$)∴$2938$≎⪠$3267$⇤((∡$1342$)⋳⪒($1982$∠⫱$1216$))-($1274$⊍⩺⋍$1995$⋷$1074$∷$1480$)↬(⊑($4685$⪚⩙≫))","expression":"(⇑⪆142233⫳≱↱⇑⪆13242)∴⇑⪆43223≎⪠⇑⪆101032⇤((∡⇑⪆20332)⋳⪒(⇑⪆30412∠⫱⇑⪆14331))-(⇑⪆20044⊍⩺⋍⇑⪆30440⋷⇑⪆13244∷⇑⪆21410)↬(⊑(⇑⪆122220⪚⩙≫))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20104,"operation_count":14,"complexity_ratio":1436.0,"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":5943,"base":5},"right_expr":{"type":"numeric_atoms","value":1072,"base":5}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2938,"base":5},"right_expr":{"type":"numeric_atoms","value":3267,"base":5}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1342,"base":5}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1982,"base":5},"right_expr":{"type":"numeric_atoms","value":1216,"base":5}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1274,"base":5},"right_expr":{"type":"numeric_atoms","value":1995,"base":5}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1074,"base":5},"right_expr":{"type":"numeric_atoms","value":1480,"base":5}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":4685,"base":5}}}}},"used_operators":["rysDP5nf3Z","YSKBFp38Pu","hrf7POJlIJ","ZvLB05nZmT","aNhz54LH3e","12rbrZMWeM","pRsWfj4Fpp","QvoQhV0rrE","B5M0gjZbta","23Mk6UjR3U","OXDGMFPWZM","D3AQDKkPcf","IkUmn0D7oy","4n53wtyJvv"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","NTOWxs364D","7j4O788W3g","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5943","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=5943, right_input=1072, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=2938","layer":4},{"info":"number node, value=3267","layer":4},{"info":"compute binary expreesion, left_input=2938, right_input=3267, 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=-204, right_input=19558, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1240","layer":2},{"info":"number node, value=1342","layer":4},{"info":"compute unary expreesion, input=1342, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1342","layer":3},{"info":"number node, value=1982","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=1982, right_input=1216, 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=-1342, right_input=1234, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4205","layer":2},{"info":"compute binary expreesion, left_input=1240, right_input=-4205, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=17673","layer":1},{"info":"number node, value=1274","layer":4},{"info":"number node, value=1995","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=1995, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=1074","layer":4},{"info":"number node, value=1480","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=1480, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1480","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1480, 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=4685","layer":4},{"info":"compute unary expreesion, input=4685, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=192, 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=17673, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆142233⫳≱↱⇑⪆13242)∴⇑⪆43223≎⪠⇑⪆101032⇤((∡⇑⪆20332)⋳⪒(⇑⪆30412∠⫱⇑⪆14331))-(⇑⪆20044⊍⩺⋍⇑⪆30440⋷⇑⪆13244∷⇑⪆21410)↬(⊑(⇑⪆122220⪚⩙≫))=NaN","reverse_text":"NaN=(⇑⪆142233⫳≱↱⇑⪆13242)∴⇑⪆43223≎⪠⇑⪆101032⇤((∡⇑⪆20332)⋳⪒(⇑⪆30412∠⫱⇑⪆14331))-(⇑⪆20044⊍⩺⋍⇑⪆30440⋷⇑⪆13244∷⇑⪆21410)↬(⊑(⇑⪆122220⪚⩙≫))","cot":[{"info":"⇑⪆142233⫳≱↱⇑⪆13242=⇑⪆-1304","layer":3},{"info":"⇑⪆43223≎⪠⇑⪆101032=⇑⪆1111213","layer":3},{"info":"⇑⪆-1304∴⇑⪆1111213=⇑⪆14430","layer":2},{"info":"∡⇑⪆20332=⇑⪆-20332","layer":3},{"info":"⇑⪆30412∠⫱⇑⪆14331=⇑⪆14414","layer":3},{"info":"⇑⪆-20332⋳⪒⇑⪆14414=⇑⪆-113310","layer":2},{"info":"⇑⪆14430⇤⇑⪆-113310=⇑⪆1031143","layer":1},{"info":"⇑⪆20044⊍⩺⋍⇑⪆30440=NaN","layer":3},{"info":"⇑⪆13244∷⇑⪆21410=⇑⪆21410","layer":3},{"info":"NaN⋷⇑⪆21410=NaN","layer":2},{"info":"⇑⪆122220⪚⩙≫=NaN","layer":3},{"info":"⊑NaN=⇑⪆1232","layer":2},{"info":"NaN↬⇑⪆1232=NaN","layer":1},{"info":"⇑⪆1031143-NaN=NaN","layer":0}]}
{"id":293,"expression_no_base_symbol":"(⫵↿($5399$⇻⋧≁$1081$↛⩡⫤))≎⊠⪸((⇺⋃$2181$)⊨($4610$⫩⊇)/(⇺⋃($2950$∠↢$1185$)))","expression":"(⫵↿(⇑⪆133044⇻⋧≁⇑⪆13311↛⩡⫤))≎⊠⪸((⇺⋃⇑⪆32211)⊨(⇑⪆121420⫩⊇)/(⇺⋃(⇑⪆43300∠↢⇑⪆14220)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7073,"operation_count":10,"complexity_ratio":707.3,"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":5399,"base":5},"right_expr":{"type":"numeric_atoms","value":1081,"base":5}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":2181,"base":5}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4610,"base":5}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2950,"base":5},"right_expr":{"type":"numeric_atoms","value":1185,"base":5}}}}},"used_operators":["bJkvcejdHO","ivGwdmUAux","FU0Cs4j7VP","jCPkEVoL5K","XhwjNDsVaA","vg4gO5BX6G","E5v5B3UAjG","BjRHVeLaeN","KbjG8mgYpV"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"⇑⪆232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5399","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=5399, right_input=1081, 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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-60010","layer":2},{"info":"compute unary expreesion, input=-60010, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":1},{"info":"number node, value=2181","layer":4},{"info":"compute unary expreesion, input=2181, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=4610","layer":4},{"info":"compute unary expreesion, input=4610, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4568","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4568, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":2},{"info":"number node, value=2950","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=2950, right_input=1185, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-27308","layer":3},{"info":"compute unary expreesion, input=-27308, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=137, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":5,"result_base":5,"text":"(⫵↿(⇑⪆133044⇻⋧≁⇑⪆13311↛⩡⫤))≎⊠⪸((⇺⋃⇑⪆32211)⊨(⇑⪆121420⫩⊇)/(⇺⋃(⇑⪆43300∠↢⇑⪆14220)))=⇑⪆232","reverse_text":"⇑⪆232=(⫵↿(⇑⪆133044⇻⋧≁⇑⪆13311↛⩡⫤))≎⊠⪸((⇺⋃⇑⪆32211)⊨(⇑⪆121420⫩⊇)/(⇺⋃(⇑⪆43300∠↢⇑⪆14220)))","cot":[{"info":"⇑⪆133044⇻⋧≁⇑⪆13311=⇑⪆-3242","layer":3},{"info":"⇑⪆-3242↛⩡⫤=⇑⪆-3410020","layer":2},{"info":"⫵↿⇑⪆-3410020=⇑⪆1022","layer":1},{"info":"⇺⋃⇑⪆32211=NaN","layer":3},{"info":"⇑⪆121420⫩⊇=⇑⪆-121233","layer":3},{"info":"NaN⊨⇑⪆-121233=NaN","layer":2},{"info":"⇑⪆43300∠↢⇑⪆14220=⇑⪆-1333213","layer":3},{"info":"⇺⋃⇑⪆-1333213=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"⇑⪆1022≎⊠⪸NaN=⇑⪆232","layer":0}]}
{"id":294,"expression_no_base_symbol":"(⨙⪌(($1074$≥⨤⩑$3660$)⩣⫁∢($1927$⨳⩥⨓$1061$)))⨿(($2264$⪒⊣⊆$2994$⇀∌)⫥∨⫟((⇈$3251$)⋅⇍$3852$⪘⫢$1976$))","expression":"(⨙⪌((⇑⪆13244≥⨤⩑⇑⪆104120)⩣⫁∢(⇑⪆30202⨳⩥⨓⇑⪆13221)))⨿((⇑⪆33024⪒⊣⊆⇑⪆43434⇀∌)⫥∨⫟((⇈⇑⪆101001)⋅⇍⇑⪆110402⪘⫢⇑⪆30401))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2483,"operation_count":11,"complexity_ratio":225.72727272727272,"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":1074,"base":5},"right_expr":{"type":"numeric_atoms","value":3660,"base":5}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1927,"base":5},"right_expr":{"type":"numeric_atoms","value":1061,"base":5}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2264,"base":5},"right_expr":{"type":"numeric_atoms","value":2994,"base":5}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":3251,"base":5}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3852,"base":5},"right_expr":{"type":"numeric_atoms","value":1976,"base":5}}}}},"used_operators":["abYXlopdE0","vEGLkm4Z2k","JDUIKTTSIa","gJLn6v0xnP","nCS4ZIUYfx","KYD54nUTWz","2k53nXOpI5","eRqsBgTDFp","AdZkA7nFnk","SLLxy00UIr","oacrs7FA3X"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","sdazOOVcIp","W4YGzv6Whe","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⇑⪆-2234","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1074","layer":4},{"info":"number node, value=3660","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=3660, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1927","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=1927, right_input=1061, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-866","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-866, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2307","layer":2},{"info":"compute unary expreesion, input=-2307, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"number node, value=2264","layer":4},{"info":"number node, value=2994","layer":4},{"info":"compute binary expreesion, left_input=2264, right_input=2994, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4528","layer":3},{"info":"compute unary expreesion, input=4528, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":2},{"info":"number node, value=3251","layer":4},{"info":"compute unary expreesion, input=3251, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=3852","layer":4},{"info":"number node, value=1976","layer":4},{"info":"compute binary expreesion, left_input=3852, right_input=1976, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7580","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=7580, 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=113, right_input=-22, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":5,"result_base":5,"text":"(⨙⪌((⇑⪆13244≥⨤⩑⇑⪆104120)⩣⫁∢(⇑⪆30202⨳⩥⨓⇑⪆13221)))⨿((⇑⪆33024⪒⊣⊆⇑⪆43434⇀∌)⫥∨⫟((⇈⇑⪆101001)⋅⇍⇑⪆110402⪘⫢⇑⪆30401))=⇑⪆-2234","reverse_text":"⇑⪆-2234=(⨙⪌((⇑⪆13244≥⨤⩑⇑⪆104120)⩣⫁∢(⇑⪆30202⨳⩥⨓⇑⪆13221)))⨿((⇑⪆33024⪒⊣⊆⇑⪆43434⇀∌)⫥∨⫟((⇈⇑⪆101001)⋅⇍⇑⪆110402⪘⫢⇑⪆30401))","cot":[{"info":"⇑⪆13244≥⨤⩑⇑⪆104120=⇑⪆14414","layer":3},{"info":"⇑⪆30202⨳⩥⨓⇑⪆13221=⇑⪆-11431","layer":3},{"info":"⇑⪆14414⩣⫁∢⇑⪆-11431=⇑⪆-33212","layer":2},{"info":"⨙⪌⇑⪆-33212=⇑⪆11433","layer":1},{"info":"⇑⪆33024⪒⊣⊆⇑⪆43434=⇑⪆121103","layer":3},{"info":"⇑⪆121103⇀∌=⇑⪆423","layer":2},{"info":"⇈⇑⪆101001=⇑⪆-3242","layer":3},{"info":"⇑⪆110402⪘⫢⇑⪆30401=⇑⪆220310","layer":3},{"info":"⇑⪆-3242⋅⇍⇑⪆220310=⇑⪆-42","layer":2},{"info":"⇑⪆423⫥∨⫟⇑⪆-42=NaN","layer":1},{"info":"⇑⪆11433⨿NaN=⇑⪆-2234","layer":0}]}
{"id":295,"expression_no_base_symbol":"($1411$∷$7954$)⨂≜($8562$⋓$8078$)≴⪞⇿($1532$⩖⊿$2560$⊬⨰(⫵↿$1403$))⋥⋵⩄(((↣≠⋷$1879$)⋷$3632$⪝$3010$)⫘(($8612$⊹∫⫚$1606$)∛($2991$≬⇓$1186$)))","expression":"(⇑⪆21121∷⇑⪆223304)⨂≜(⇑⪆233222⋓⇑⪆224303)≴⪞⇿(⇑⪆22112⩖⊿⇑⪆40220⊬⨰(⫵↿⇑⪆21103))⋥⋵⩄(((↣≠⋷⇑⪆30004)⋷⇑⪆104012⪝⇑⪆44020)⫘((⇑⪆233422⊹∫⫚⇑⪆22411)∛(⇑⪆43431≬⇓⇑⪆14221)))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":253056821,"operation_count":15,"complexity_ratio":16870454.733333334,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1411,"base":5},"right_expr":{"type":"numeric_atoms","value":7954,"base":5}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":8562,"base":5},"right_expr":{"type":"numeric_atoms","value":8078,"base":5}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1532,"base":5},"right_expr":{"type":"numeric_atoms","value":2560,"base":5}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":1403,"base":5}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1879,"base":5}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3632,"base":5},"right_expr":{"type":"numeric_atoms","value":3010,"base":5}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":8612,"base":5},"right_expr":{"type":"numeric_atoms","value":1606,"base":5}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2991,"base":5},"right_expr":{"type":"numeric_atoms","value":1186,"base":5}}}}},"used_operators":["7t3wd0Fuz7","lvlrscuwVU","k1SHOSEABc","D3AQDKkPcf","T2fj7uvVaJ","s3Fd5m9Dh2","RZ5CV9rWsJ","ivGwdmUAux","48vC8HMD2b","23Mk6UjR3U","Asc51vEJeQ","wicAB68Tmb","w2537kitQq","uWAJUKEvyW","jWTQ2TZYIH"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","NTOWxs364D","7j4O788W3g","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1411","layer":4},{"info":"number node, value=7954","layer":4},{"info":"compute binary expreesion, left_input=1411, right_input=7954, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=7954","layer":3},{"info":"number node, value=8562","layer":4},{"info":"number node, value=8078","layer":4},{"info":"compute binary expreesion, left_input=8562, right_input=8078, 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=7954, right_input=0, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=253048386","layer":2},{"info":"number node, value=1532","layer":4},{"info":"number node, value=2560","layer":4},{"info":"compute binary expreesion, left_input=1532, right_input=2560, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=14270","layer":3},{"info":"number node, value=1403","layer":4},{"info":"compute unary expreesion, input=1403, 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=14270, right_input=137, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=13762","layer":2},{"info":"compute binary expreesion, left_input=253048386, right_input=13762, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=inf","layer":1},{"info":"number node, value=1879","layer":4},{"info":"compute unary expreesion, input=1879, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3632","layer":4},{"info":"number node, value=3010","layer":4},{"info":"compute binary expreesion, left_input=3632, right_input=3010, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-2887","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2887, 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=8612","layer":4},{"info":"number node, value=1606","layer":4},{"info":"compute binary expreesion, left_input=8612, right_input=1606, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-308","layer":3},{"info":"number node, value=2991","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=2991, right_input=1186, 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=-308, right_input=-22, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 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=inf, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆21121∷⇑⪆223304)⨂≜(⇑⪆233222⋓⇑⪆224303)≴⪞⇿(⇑⪆22112⩖⊿⇑⪆40220⊬⨰(⫵↿⇑⪆21103))⋥⋵⩄(((↣≠⋷⇑⪆30004)⋷⇑⪆104012⪝⇑⪆44020)⫘((⇑⪆233422⊹∫⫚⇑⪆22411)∛(⇑⪆43431≬⇓⇑⪆14221)))=NaN","reverse_text":"NaN=(⇑⪆21121∷⇑⪆223304)⨂≜(⇑⪆233222⋓⇑⪆224303)≴⪞⇿(⇑⪆22112⩖⊿⇑⪆40220⊬⨰(⫵↿⇑⪆21103))⋥⋵⩄(((↣≠⋷⇑⪆30004)⋷⇑⪆104012⪝⇑⪆44020)⫘((⇑⪆233422⊹∫⫚⇑⪆22411)∛(⇑⪆43431≬⇓⇑⪆14221)))","cot":[{"info":"⇑⪆21121∷⇑⪆223304=⇑⪆223304","layer":3},{"info":"⇑⪆233222⋓⇑⪆224303=⇑⪆0","layer":3},{"info":"⇑⪆223304⨂≜⇑⪆0=⇑⪆1004240022021","layer":2},{"info":"⇑⪆22112⩖⊿⇑⪆40220=⇑⪆424040","layer":3},{"info":"⫵↿⇑⪆21103=⇑⪆1022","layer":3},{"info":"⇑⪆424040⊬⨰⇑⪆1022=⇑⪆420022","layer":2},{"info":"⇑⪆1004240022021≴⪞⇿⇑⪆420022=Inf","layer":1},{"info":"↣≠⋷⇑⪆30004=NaN","layer":3},{"info":"⇑⪆104012⪝⇑⪆44020=⇑⪆-43022","layer":3},{"info":"NaN⋷⇑⪆-43022=NaN","layer":2},{"info":"⇑⪆233422⊹∫⫚⇑⪆22411=⇑⪆-2213","layer":3},{"info":"⇑⪆43431≬⇓⇑⪆14221=⇑⪆-42","layer":3},{"info":"⇑⪆-2213∛⇑⪆-42=⇑⪆232","layer":2},{"info":"NaN⫘⇑⪆232=NaN","layer":1},{"info":"Inf⋥⋵⩄NaN=NaN","layer":0}]}
{"id":296,"expression_no_base_symbol":"(⊖$3511$)⊋($1562$⪄$2198$)⪄($7933$⫒⫫$5035$)⨑⩅≇($3316$⪭$2761$)⊍⩺⋍($6518$⇴$5493$∸)⪪(⇤←$2740$)→⨶⪴$2195$≝⊿$3357$","expression":"(⊖⇑⪆103021)⊋(⇑⪆22222⪄⇑⪆32243)⪄(⇑⪆223213⫒⫫⇑⪆130120)⨑⩅≇(⇑⪆101231⪭⇑⪆42021)⊍⩺⋍(⇑⪆202033⇴⇑⪆133433∸)⪪(⇤←⇑⪆41430)→⨶⪴⇑⪆32240≝⊿⇑⪆101412","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1518,"operation_count":14,"complexity_ratio":108.42857142857143,"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":3511,"base":5}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1562,"base":5},"right_expr":{"type":"numeric_atoms","value":2198,"base":5}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":7933,"base":5},"right_expr":{"type":"numeric_atoms","value":5035,"base":5}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3316,"base":5},"right_expr":{"type":"numeric_atoms","value":2761,"base":5}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":6518,"base":5},"right_expr":{"type":"numeric_atoms","value":5493,"base":5}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":2740,"base":5}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2195,"base":5},"right_expr":{"type":"numeric_atoms","value":3357,"base":5}}}}},"used_operators":["OXDGMFPWZM","SUmda5xLS4","W4tP9CfskL","U6pG0PXrV3","h92wMvzauj","6Ko8hGgeMq","j9kHMeSvPp","xD69zh8xqp","o20kRiQErp","4JB6nKBMSY","bF6eod5Gvf","jfAgQ2OQeM","OKKcZfAt5B"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","COABgblf1C","xUOZtlo3hN","FU0Cs4j7VP","JclMnS0uGI","tmPS8pqC7x","sdazOOVcIp","NTOWxs364D","COABgblf1C","8w2t5hMYqp","9FxExcQeMw","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3511","layer":4},{"info":"compute unary expreesion, input=3511, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=1562","layer":4},{"info":"number node, value=2198","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=2198, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-236057","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-236057, 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=-4726594","layer":2},{"info":"number node, value=7933","layer":4},{"info":"number node, value=5035","layer":4},{"info":"compute binary expreesion, left_input=7933, right_input=5035, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=3316","layer":4},{"info":"number node, value=2761","layer":4},{"info":"compute binary expreesion, left_input=3316, right_input=2761, 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 = 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=-4726594, right_input=935, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=6518","layer":4},{"info":"number node, value=5493","layer":4},{"info":"compute binary expreesion, left_input=6518, right_input=5493, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=49708","layer":3},{"info":"compute unary expreesion, input=49708, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=2740","layer":4},{"info":"compute unary expreesion, input=2740, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-12334","layer":3},{"info":"number node, value=2195","layer":4},{"info":"number node, value=3357","layer":4},{"info":"compute binary expreesion, left_input=2195, right_input=3357, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-9442","layer":3},{"info":"compute binary expreesion, left_input=-12334, right_input=-9442, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-5816","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=-5816, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-22816","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=-22816, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⊖⇑⪆103021)⊋(⇑⪆22222⪄⇑⪆32243)⪄(⇑⪆223213⫒⫫⇑⪆130120)⨑⩅≇(⇑⪆101231⪭⇑⪆42021)⊍⩺⋍(⇑⪆202033⇴⇑⪆133433∸)⪪(⇤←⇑⪆41430)→⨶⪴⇑⪆32240≝⊿⇑⪆101412=NaN","reverse_text":"NaN=(⊖⇑⪆103021)⊋(⇑⪆22222⪄⇑⪆32243)⪄(⇑⪆223213⫒⫫⇑⪆130120)⨑⩅≇(⇑⪆101231⪭⇑⪆42021)⊍⩺⋍(⇑⪆202033⇴⇑⪆133433∸)⪪(⇤←⇑⪆41430)→⨶⪴⇑⪆32240≝⊿⇑⪆101412","cot":[{"info":"⊖⇑⪆103021=⇑⪆0","layer":3},{"info":"⇑⪆22222⪄⇑⪆32243=⇑⪆-30023212","layer":3},{"info":"⇑⪆0⊋⇑⪆-30023212=⇑⪆-2202222334","layer":2},{"info":"⇑⪆223213⫒⫫⇑⪆130120=NaN","layer":3},{"info":"⇑⪆101231⪭⇑⪆42021=⇑⪆10","layer":3},{"info":"NaN⨑⩅≇⇑⪆10=⇑⪆12220","layer":2},{"info":"⇑⪆-2202222334⪄⇑⪆12220=⇑⪆111404","layer":1},{"info":"⇑⪆202033⇴⇑⪆133433=⇑⪆3042313","layer":3},{"info":"⇑⪆3042313∸=⇑⪆1202","layer":2},{"info":"⇤←⇑⪆41430=⇑⪆-343314","layer":3},{"info":"⇑⪆32240≝⊿⇑⪆101412=⇑⪆-300232","layer":3},{"info":"⇑⪆-343314→⨶⪴⇑⪆-300232=⇑⪆-141231","layer":2},{"info":"⇑⪆1202⪪⇑⪆-141231=⇑⪆-1212231","layer":1},{"info":"⇑⪆111404⊍⩺⋍⇑⪆-1212231=NaN","layer":0}]}
{"id":297,"expression_no_base_symbol":"(($1102$∥⊢⊲$2366$)∺≝⩲($7336$⫦⪉$5385$)∑⇟⊟$5526$⇂≾⫗$1060$⋛($1253$⇐≅))∓⋝(⩷⨜⫀($8017$⫲≸⪮$5505$≀⩗∶$1027$⩣⫁∢$2694$))","expression":"((⇑⪆13402∥⊢⊲⇑⪆33431)∺≝⩲(⇑⪆213321⫦⪉⇑⪆133020)∑⇟⊟⇑⪆134101⇂≾⫗⇑⪆13220⋛(⇑⪆20003⇐≅))∓⋝(⩷⨜⫀(⇑⪆224032⫲≸⪮⇑⪆134010≀⩗∶⇑⪆13102⩣⫁∢⇑⪆41234))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8452,"operation_count":12,"complexity_ratio":704.3333333333334,"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":1102,"base":5},"right_expr":{"type":"numeric_atoms","value":2366,"base":5}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":7336,"base":5},"right_expr":{"type":"numeric_atoms","value":5385,"base":5}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":5526,"base":5},"right_expr":{"type":"numeric_atoms","value":1060,"base":5}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":1253,"base":5}}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":8017,"base":5},"right_expr":{"type":"numeric_atoms","value":5505,"base":5}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1027,"base":5},"right_expr":{"type":"numeric_atoms","value":2694,"base":5}}}}},"used_operators":["PoHhknlbAi","U7g4x0WXJJ","KPf6cnQVty","v1UQAVDJRr","wscyQdcy20","YbUVn0Rbpy","aBQ6xLxuTc","wEfv7U73WA","CDi0ktkjQ4","8INZBEW696","P3lXMJvFrc","JDUIKTTSIa"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","rGHVDoGpnC","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","ruOEQAzv1W","nhYeJWJD5X","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"⇑⪆232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1102","layer":4},{"info":"number node, value=2366","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=2366, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=7336","layer":4},{"info":"number node, value=5385","layer":4},{"info":"compute binary expreesion, left_input=7336, right_input=5385, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-9772","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9772, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=5526","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=5526, right_input=1060, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1253","layer":4},{"info":"compute unary expreesion, input=1253, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=3727","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=3727, 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=-124821","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-124821, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=8017","layer":4},{"info":"number node, value=5505","layer":4},{"info":"compute binary expreesion, left_input=8017, right_input=5505, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=8017","layer":3},{"info":"number node, value=1027","layer":4},{"info":"number node, value=2694","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=2694, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-1893","layer":3},{"info":"compute binary expreesion, left_input=8017, right_input=-1893, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":2},{"info":"compute unary expreesion, input=3, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=783","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=783, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆13402∥⊢⊲⇑⪆33431)∺≝⩲(⇑⪆213321⫦⪉⇑⪆133020)∑⇟⊟⇑⪆134101⇂≾⫗⇑⪆13220⋛(⇑⪆20003⇐≅))∓⋝(⩷⨜⫀(⇑⪆224032⫲≸⪮⇑⪆134010≀⩗∶⇑⪆13102⩣⫁∢⇑⪆41234))=⇑⪆232","reverse_text":"⇑⪆232=((⇑⪆13402∥⊢⊲⇑⪆33431)∺≝⩲(⇑⪆213321⫦⪉⇑⪆133020)∑⇟⊟⇑⪆134101⇂≾⫗⇑⪆13220⋛(⇑⪆20003⇐≅))∓⋝(⩷⨜⫀(⇑⪆224032⫲≸⪮⇑⪆134010≀⩗∶⇑⪆13102⩣⫁∢⇑⪆41234))","cot":[{"info":"⇑⪆13402∥⊢⊲⇑⪆33431=NaN","layer":3},{"info":"⇑⪆213321⫦⪉⇑⪆133020=⇑⪆-303042","layer":3},{"info":"NaN∺≝⩲⇑⪆-303042=⇑⪆1120","layer":2},{"info":"⇑⪆134101⇂≾⫗⇑⪆13220=⇑⪆-10201","layer":3},{"info":"⇑⪆20003⇐≅=⇑⪆104402","layer":3},{"info":"⇑⪆-10201⋛⇑⪆104402=⇑⪆-12443241","layer":2},{"info":"⇑⪆1120∑⇟⊟⇑⪆-12443241=NaN","layer":1},{"info":"⇑⪆224032⫲≸⪮⇑⪆134010=⇑⪆224032","layer":3},{"info":"⇑⪆13102⩣⫁∢⇑⪆41234=⇑⪆-30033","layer":3},{"info":"⇑⪆224032≀⩗∶⇑⪆-30033=⇑⪆3","layer":2},{"info":"⩷⨜⫀⇑⪆3=⇑⪆11113","layer":1},{"info":"NaN∓⋝⇑⪆11113=⇑⪆232","layer":0}]}
{"id":298,"expression_no_base_symbol":"($5222$⨜⨶$1296$⪕$2503$⊴$1925$)⨚⇆((⨈⪑$2594$)⊠≄⫣)⫦⪉(($2741$⨿$1465$)⋩≍≻)⫸⇳($1905$⩘$3272$↸(↓⇌$4761$))","expression":"(⇑⪆131342⨜⨶⇑⪆20141⪕⇑⪆40003⊴⇑⪆30200)⨚⇆((⨈⪑⇑⪆40334)⊠≄⫣)⫦⪉((⇑⪆41431⨿⇑⪆21330)⋩≍≻)⫸⇳(⇑⪆30110⩘⇑⪆101042↸(↓⇌⇑⪆123021))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12645,"operation_count":13,"complexity_ratio":972.6923076923077,"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":5222,"base":5},"right_expr":{"type":"numeric_atoms","value":1296,"base":5}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2503,"base":5},"right_expr":{"type":"numeric_atoms","value":1925,"base":5}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":2594,"base":5}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2741,"base":5},"right_expr":{"type":"numeric_atoms","value":1465,"base":5}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1905,"base":5},"right_expr":{"type":"numeric_atoms","value":3272,"base":5}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":4761,"base":5}}}}},"used_operators":["wscyQdcy20","lwHaAYXP2r","umQnsF7QlU","HiPekx5b7W","Nsiff2A1zJ","DIvbN7qnHd","mp94q5OcYM","gx7XJ7hdpj","WYd1w68Nbz","abYXlopdE0","1eCjFl0mb9","cHh1gJQ2o6","PxpmPgHHJV"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5222","layer":4},{"info":"number node, value=1296","layer":4},{"info":"compute binary expreesion, left_input=5222, right_input=1296, 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=-2336","layer":3},{"info":"number node, value=2503","layer":4},{"info":"number node, value=1925","layer":4},{"info":"compute binary expreesion, left_input=2503, right_input=1925, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2336, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"number node, value=2594","layer":4},{"info":"compute unary expreesion, input=2594, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=0, 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=2741","layer":4},{"info":"number node, value=1465","layer":4},{"info":"compute binary expreesion, left_input=2741, right_input=1465, 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 = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-1413","layer":2},{"info":"number node, value=1905","layer":4},{"info":"number node, value=3272","layer":4},{"info":"compute binary expreesion, left_input=1905, right_input=3272, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=4761","layer":4},{"info":"compute unary expreesion, input=4761, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=4761","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4761, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-1413, right_input=160, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆131342⨜⨶⇑⪆20141⪕⇑⪆40003⊴⇑⪆30200)⨚⇆((⨈⪑⇑⪆40334)⊠≄⫣)⫦⪉((⇑⪆41431⨿⇑⪆21330)⋩≍≻)⫸⇳(⇑⪆30110⩘⇑⪆101042↸(↓⇌⇑⪆123021))=NaN","reverse_text":"NaN=(⇑⪆131342⨜⨶⇑⪆20141⪕⇑⪆40003⊴⇑⪆30200)⨚⇆((⨈⪑⇑⪆40334)⊠≄⫣)⫦⪉((⇑⪆41431⨿⇑⪆21330)⋩≍≻)⫸⇳(⇑⪆30110⩘⇑⪆101042↸(↓⇌⇑⪆123021))","cot":[{"info":"⇑⪆131342⨜⨶⇑⪆20141=⇑⪆-33321","layer":3},{"info":"⇑⪆40003⊴⇑⪆30200=NaN","layer":3},{"info":"⇑⪆-33321⪕NaN=⇑⪆12220","layer":2},{"info":"⨈⪑⇑⪆40334=⇑⪆11433","layer":3},{"info":"⇑⪆11433⊠≄⫣=⇑⪆0","layer":2},{"info":"⇑⪆12220⨚⇆⇑⪆0=NaN","layer":1},{"info":"⇑⪆41431⨿⇑⪆21330=⇑⪆-2234","layer":3},{"info":"⇑⪆-2234⋩≍≻=⇑⪆-21123","layer":2},{"info":"⇑⪆30110⩘⇑⪆101042=⇑⪆1120","layer":3},{"info":"↓⇌⇑⪆123021=⇑⪆123021","layer":3},{"info":"⇑⪆1120↸⇑⪆123021=⇑⪆1120","layer":2},{"info":"⇑⪆-21123⫸⇳⇑⪆1120=⇑⪆0","layer":1},{"info":"NaN⫦⪉⇑⪆0=NaN","layer":0}]}
{"id":299,"expression_no_base_symbol":"≻⋜($1119$⩦$1292$⪛($7638$∙∹∝$1155$)⇌⫙⪟$2815$↞⋁$5185$∼$4381$⨑⩅≇$1713$)","expression":"≻⋜(⇑⪆13434⩦⇑⪆20132⪛(⇑⪆221023∙∹∝⇑⪆14110)⇌⫙⪟⇑⪆42230↞⋁⇑⪆131220∼⇑⪆120011⨑⩅≇⇑⪆23323)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2026,"operation_count":8,"complexity_ratio":253.25,"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":1119,"base":5},"right_expr":{"type":"numeric_atoms","value":1292,"base":5}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":7638,"base":5},"right_expr":{"type":"numeric_atoms","value":1155,"base":5}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2815,"base":5},"right_expr":{"type":"numeric_atoms","value":5185,"base":5}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":4381,"base":5},"right_expr":{"type":"numeric_atoms","value":1713,"base":5}}}}},"used_operators":["3tj9sqzovi","AFVx7xoS7T","uFcxV4UQCh","0kmYd0q39Y","HmxsFra2vL","DyGG3AbaNP","RqrPlJkxDo","h92wMvzauj"],"dependent_operators":["XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1119","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=1292, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2238","layer":3},{"info":"number node, value=7638","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=7638, right_input=1155, 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=2238, 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=2815","layer":4},{"info":"number node, value=5185","layer":4},{"info":"compute binary expreesion, left_input=2815, right_input=5185, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=4381","layer":4},{"info":"number node, value=1713","layer":4},{"info":"compute binary expreesion, left_input=4381, right_input=1713, 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=-13143","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-13143, 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=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":1},{"info":"compute unary expreesion, input=nan, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"≻⋜(⇑⪆13434⩦⇑⪆20132⪛(⇑⪆221023∙∹∝⇑⪆14110)⇌⫙⪟⇑⪆42230↞⋁⇑⪆131220∼⇑⪆120011⨑⩅≇⇑⪆23323)=NaN","reverse_text":"NaN=≻⋜(⇑⪆13434⩦⇑⪆20132⪛(⇑⪆221023∙∹∝⇑⪆14110)⇌⫙⪟⇑⪆42230↞⋁⇑⪆131220∼⇑⪆120011⨑⩅≇⇑⪆23323)","cot":[{"info":"⇑⪆13434⩦⇑⪆20132=⇑⪆32423","layer":3},{"info":"⇑⪆221023∙∹∝⇑⪆14110=⇑⪆0","layer":3},{"info":"⇑⪆32423⪛⇑⪆0=NaN","layer":2},{"info":"⇑⪆42230↞⋁⇑⪆131220=NaN","layer":3},{"info":"⇑⪆120011⨑⩅≇⇑⪆23323=⇑⪆-410033","layer":3},{"info":"NaN∼⇑⪆-410033=NaN","layer":2},{"info":"NaN⇌⫙⪟NaN=NaN","layer":1},{"info":"≻⋜NaN=NaN","layer":0}]}
{"id":300,"expression_no_base_symbol":"(($2507$⇄$3317$)≀⫉$2683$≝⊿$2852$⇮⋭(⪁⇼($1483$⊋$1293$)))→⨶⪴((↸⊣(⪝⪂⫅$4573$))≃($4339$⋹⋡⊁$2590$↸($3057$≋⫹)))","expression":"((⇑⪆40012⇄⇑⪆101232)≀⫉⇑⪆41213≝⊿⇑⪆42402⇮⋭(⪁⇼(⇑⪆21413⊋⇑⪆20133)))→⨶⪴((↸⊣(⪝⪂⫅⇑⪆121243))≃(⇑⪆114324⋹⋡⊁⇑⪆40330↸(⇑⪆44212≋⫹)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":67031,"operation_count":13,"complexity_ratio":5156.2307692307695,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2507,"base":5},"right_expr":{"type":"numeric_atoms","value":3317,"base":5}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2683,"base":5},"right_expr":{"type":"numeric_atoms","value":2852,"base":5}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1483,"base":5},"right_expr":{"type":"numeric_atoms","value":1293,"base":5}}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4573,"base":5}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4339,"base":5},"right_expr":{"type":"numeric_atoms","value":2590,"base":5}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3057,"base":5}}}}},"used_operators":["bF6eod5Gvf","vkpjKywKVM","oZj3VtZNQx","3EYGwJThht","OKKcZfAt5B","ZNVVrZ94lY","W4tP9CfskL","YbVcJGFEVW","wztAlM01eG","XTarYq4gQB","1eCjFl0mb9","As8RqfVLgs","N41Kp7NANJ"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","12rbrZMWeM","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","9HNa5Wba9A","8w2t5hMYqp","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆10410132112","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2507","layer":4},{"info":"number node, value=3317","layer":4},{"info":"compute binary expreesion, left_input=2507, right_input=3317, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=2683","layer":4},{"info":"number node, value=2852","layer":4},{"info":"compute binary expreesion, left_input=2683, right_input=2852, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8920","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8920, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=1483","layer":4},{"info":"number node, value=1293","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=1293, 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=2221300","layer":3},{"info":"compute unary expreesion, input=2221300, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=422, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=327894","layer":1},{"info":"number node, value=4573","layer":4},{"info":"compute unary expreesion, input=4573, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-672231","layer":3},{"info":"compute unary expreesion, input=-672231, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=1344462","layer":2},{"info":"number node, value=4339","layer":4},{"info":"number node, value=2590","layer":4},{"info":"compute binary expreesion, left_input=4339, right_input=2590, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3340","layer":3},{"info":"number node, value=3057","layer":4},{"info":"compute unary expreesion, input=3057, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6114","layer":3},{"info":"compute binary expreesion, left_input=3340, right_input=-6114, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3340","layer":2},{"info":"compute binary expreesion, left_input=1344462, right_input=3340, 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=-5377888","layer":1},{"info":"compute binary expreesion, left_input=327894, right_input=-5377888, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=11411532","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆40012⇄⇑⪆101232)≀⫉⇑⪆41213≝⊿⇑⪆42402⇮⋭(⪁⇼(⇑⪆21413⊋⇑⪆20133)))→⨶⪴((↸⊣(⪝⪂⫅⇑⪆121243))≃(⇑⪆114324⋹⋡⊁⇑⪆40330↸(⇑⪆44212≋⫹)))=⇑⪆10410132112","reverse_text":"⇑⪆10410132112=((⇑⪆40012⇄⇑⪆101232)≀⫉⇑⪆41213≝⊿⇑⪆42402⇮⋭(⪁⇼(⇑⪆21413⊋⇑⪆20133)))→⨶⪴((↸⊣(⪝⪂⫅⇑⪆121243))≃(⇑⪆114324⋹⋡⊁⇑⪆40330↸(⇑⪆44212≋⫹)))","cot":[{"info":"⇑⪆40012⇄⇑⪆101232=⇑⪆0","layer":3},{"info":"⇑⪆41213≝⊿⇑⪆42402=⇑⪆-241140","layer":3},{"info":"⇑⪆0≀⫉⇑⪆-241140=⇑⪆42242","layer":2},{"info":"⇑⪆21413⊋⇑⪆20133=⇑⪆1032040200","layer":3},{"info":"⪁⇼⇑⪆1032040200=⇑⪆3142","layer":2},{"info":"⇑⪆42242⇮⋭⇑⪆3142=⇑⪆40443034","layer":1},{"info":"⪝⪂⫅⇑⪆121243=⇑⪆-133002411","layer":3},{"info":"↸⊣⇑⪆-133002411=⇑⪆321010322","layer":2},{"info":"⇑⪆114324⋹⋡⊁⇑⪆40330=⇑⪆101330","layer":3},{"info":"⇑⪆44212≋⫹=⇑⪆-143424","layer":3},{"info":"⇑⪆101330↸⇑⪆-143424=⇑⪆101330","layer":2},{"info":"⇑⪆321010322≃⇑⪆101330=⇑⪆-2334043023","layer":1},{"info":"⇑⪆40443034→⨶⪴⇑⪆-2334043023=⇑⪆10410132112","layer":0}]}
{"id":301,"expression_no_base_symbol":"(⊥($2544$⊅))∴(($1250$⪉⨛$2432$)⋝⋈⪟($3354$⋥≓≎$1617$))⇍⊗(⇤←$5521$↹⊜$1801$≀⩗∶(⋎⨆$1136$))","expression":"(⊥(⇑⪆40134⊅))∴((⇑⪆20000⪉⨛⇑⪆34212)⋝⋈⪟(⇑⪆101404⋥≓≎⇑⪆22432))⇍⊗(⇤←⇑⪆134041↹⊜⇑⪆24201≀⩗∶(⋎⨆⇑⪆14021))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":31614,"operation_count":11,"complexity_ratio":2874.0,"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":2544,"base":5}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1250,"base":5},"right_expr":{"type":"numeric_atoms","value":2432,"base":5}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3354,"base":5},"right_expr":{"type":"numeric_atoms","value":1617,"base":5}}}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":5521,"base":5},"right_expr":{"type":"numeric_atoms","value":1801,"base":5}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1136,"base":5}}}}},"used_operators":["5uvYHDjeKN","hrf7POJlIJ","Q3PJZHRvZv","7p6YLioM7f","2DDjHMKMc0","EWw2JM7wp4","Qy55tPpLXF","jfAgQ2OQeM","8INZBEW696","9bazX3JMtO","E64sFOc4tB"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","fu6greOZ01","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH"],"result":"⇑⪆-1434","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2544","layer":4},{"info":"compute unary expreesion, input=2544, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"compute unary expreesion, input=-174, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-171","layer":2},{"info":"number node, value=1250","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=2432, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1533","layer":3},{"info":"number node, value=3354","layer":4},{"info":"number node, value=1617","layer":4},{"info":"compute binary expreesion, left_input=3354, right_input=1617, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-87","layer":3},{"info":"compute binary expreesion, left_input=1533, right_input=-87, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1533","layer":2},{"info":"compute binary expreesion, left_input=-171, right_input=1533, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1306","layer":1},{"info":"number node, value=5521","layer":4},{"info":"number node, value=1801","layer":4},{"info":"compute binary expreesion, left_input=5521, right_input=1801, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=3742","layer":3},{"info":"number node, value=1136","layer":4},{"info":"compute unary expreesion, input=1136, 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=3742, right_input=0, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', 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":"compute binary expreesion, left_input=1306, right_input=1366, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":5,"result_base":5,"text":"(⊥(⇑⪆40134⊅))∴((⇑⪆20000⪉⨛⇑⪆34212)⋝⋈⪟(⇑⪆101404⋥≓≎⇑⪆22432))⇍⊗(⇤←⇑⪆134041↹⊜⇑⪆24201≀⩗∶(⋎⨆⇑⪆14021))=⇑⪆-1434","reverse_text":"⇑⪆-1434=(⊥(⇑⪆40134⊅))∴((⇑⪆20000⪉⨛⇑⪆34212)⋝⋈⪟(⇑⪆101404⋥≓≎⇑⪆22432))⇍⊗(⇤←⇑⪆134041↹⊜⇑⪆24201≀⩗∶(⋎⨆⇑⪆14021))","cot":[{"info":"⇑⪆40134⊅=⇑⪆-1144","layer":3},{"info":"⊥⇑⪆-1144=⇑⪆-1141","layer":2},{"info":"⇑⪆20000⪉⨛⇑⪆34212=⇑⪆22113","layer":3},{"info":"⇑⪆101404⋥≓≎⇑⪆22432=⇑⪆-322","layer":3},{"info":"⇑⪆22113⋝⋈⪟⇑⪆-322=⇑⪆22113","layer":2},{"info":"⇑⪆-1141∴⇑⪆22113=⇑⪆20211","layer":1},{"info":"⇑⪆134041↹⊜⇑⪆24201=⇑⪆104432","layer":3},{"info":"⋎⨆⇑⪆14021=⇑⪆0","layer":3},{"info":"⇑⪆104432≀⩗∶⇑⪆0=⇑⪆0","layer":2},{"info":"⇤←⇑⪆0=⇑⪆20431","layer":1},{"info":"⇑⪆20211⇍⊗⇑⪆20431=⇑⪆-1434","layer":0}]}
{"id":302,"expression_no_base_symbol":"((($6915$-$1138$)⋘⨑⨽)⨟⋌⩍($3551$⨑≵⋬$7969$)⩣⫁∢($1018$/$4716$))⊴(($6925$⊉≛↸$5811$)≁($2773$⨥⫆$2447$)⨒(⫟$2164$)⊮⊟↴($4779$⇮⋭$1119$))","expression":"(((⇑⪆210130-⇑⪆14023)⋘⨑⨽)⨟⋌⩍(⇑⪆103201⨑≵⋬⇑⪆223334)⩣⫁∢(⇑⪆13033/⇑⪆122331))⊴((⇑⪆210200⊉≛↸⇑⪆141221)≁(⇑⪆42043⨥⫆⇑⪆34242)⨒(⫟⇑⪆32124)⊮⊟↴(⇑⪆123104⇮⋭⇑⪆13434))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":293,"operation_count":14,"complexity_ratio":20.928571428571427,"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":6915,"base":5},"right_expr":{"type":"numeric_atoms","value":1138,"base":5}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3551,"base":5},"right_expr":{"type":"numeric_atoms","value":7969,"base":5}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1018,"base":5},"right_expr":{"type":"numeric_atoms","value":4716,"base":5}}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6925,"base":5},"right_expr":{"type":"numeric_atoms","value":5811,"base":5}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2773,"base":5},"right_expr":{"type":"numeric_atoms","value":2447,"base":5}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":2164,"base":5}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4779,"base":5},"right_expr":{"type":"numeric_atoms","value":1119,"base":5}}}}},"used_operators":["Nsiff2A1zJ","rGHVDoGpnC","WmT3o8z6ya","rysDP5nf3Z","JDUIKTTSIa","XnXgA4xnOs","XhwjNDsVaA","y75s1iXyHd","8N2wDY1A35","DZ8iAZOCBD","yXekIHxTD4","QDVgd2eftb","z4E1FaHLuy","vkpjKywKVM"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","Tcnh7f0tEr","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"⇑⪆-304","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6915","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=6915, right_input=1138, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5777","layer":3},{"info":"compute unary expreesion, input=5777, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=29668","layer":2},{"info":"number node, value=3551","layer":4},{"info":"number node, value=7969","layer":4},{"info":"compute binary expreesion, left_input=3551, right_input=7969, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-36649","layer":3},{"info":"number node, value=1018","layer":4},{"info":"number node, value=4716","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=4716, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-36649, right_input=0, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=147161","layer":2},{"info":"compute binary expreesion, left_input=29668, right_input=147161, 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=6925","layer":4},{"info":"number node, value=5811","layer":4},{"info":"compute binary expreesion, left_input=6925, right_input=5811, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=13850","layer":3},{"info":"number node, value=2773","layer":4},{"info":"number node, value=2447","layer":4},{"info":"compute binary expreesion, left_input=2773, right_input=2447, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4770","layer":3},{"info":"compute binary expreesion, left_input=13850, right_input=4770, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=101279","layer":2},{"info":"number node, value=2164","layer":4},{"info":"compute unary expreesion, input=2164, 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=-5585","layer":3},{"info":"number node, value=4779","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=4779, right_input=1119, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-5585, right_input=-473, 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=101279, right_input=0, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆210130-⇑⪆14023)⋘⨑⨽)⨟⋌⩍(⇑⪆103201⨑≵⋬⇑⪆223334)⩣⫁∢(⇑⪆13033/⇑⪆122331))⊴((⇑⪆210200⊉≛↸⇑⪆141221)≁(⇑⪆42043⨥⫆⇑⪆34242)⨒(⫟⇑⪆32124)⊮⊟↴(⇑⪆123104⇮⋭⇑⪆13434))=⇑⪆-304","reverse_text":"⇑⪆-304=(((⇑⪆210130-⇑⪆14023)⋘⨑⨽)⨟⋌⩍(⇑⪆103201⨑≵⋬⇑⪆223334)⩣⫁∢(⇑⪆13033/⇑⪆122331))⊴((⇑⪆210200⊉≛↸⇑⪆141221)≁(⇑⪆42043⨥⫆⇑⪆34242)⨒(⫟⇑⪆32124)⊮⊟↴(⇑⪆123104⇮⋭⇑⪆13434))","cot":[{"info":"⇑⪆210130-⇑⪆14023=⇑⪆141102","layer":3},{"info":"⇑⪆141102⋘⨑⨽=⇑⪆1422133","layer":2},{"info":"⇑⪆103201⨑≵⋬⇑⪆223334=⇑⪆-2133044","layer":3},{"info":"⇑⪆13033/⇑⪆122331=⇑⪆0","layer":3},{"info":"⇑⪆-2133044⩣⫁∢⇑⪆0=⇑⪆14202121","layer":2},{"info":"⇑⪆1422133⨟⋌⩍⇑⪆14202121=NaN","layer":1},{"info":"⇑⪆210200⊉≛↸⇑⪆141221=⇑⪆420400","layer":3},{"info":"⇑⪆42043⨥⫆⇑⪆34242=⇑⪆123040","layer":3},{"info":"⇑⪆420400≁⇑⪆123040=⇑⪆11220104","layer":2},{"info":"⫟⇑⪆32124=⇑⪆-134320","layer":3},{"info":"⇑⪆123104⇮⋭⇑⪆13434=⇑⪆-3343","layer":3},{"info":"⇑⪆-134320⊮⊟↴⇑⪆-3343=⇑⪆0","layer":2},{"info":"⇑⪆11220104⨒⇑⪆0=⇑⪆0","layer":1},{"info":"NaN⊴⇑⪆0=⇑⪆-304","layer":0}]}
{"id":303,"expression_no_base_symbol":"∜⨇(⨣⨃⇪($7310$⇄$2853$⫰⋱$1156$⫣⪄⊒$1970$))","expression":"∜⨇(⨣⨃⇪(⇑⪆213220⇄⇑⪆42403⫰⋱⇑⪆14111⫣⪄⊒⇑⪆30340))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":110,"operation_count":5,"complexity_ratio":22.0,"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":7310,"base":5},"right_expr":{"type":"numeric_atoms","value":2853,"base":5}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1156,"base":5},"right_expr":{"type":"numeric_atoms","value":1970,"base":5}}}}},"used_operators":["uFPyJr306J","AcOhelriW5","6o9Blt3TJ6","3EYGwJThht","RabNbG55vr"],"dependent_operators":["fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7310","layer":4},{"info":"number node, value=2853","layer":4},{"info":"compute binary expreesion, left_input=7310, right_input=2853, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1156","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=1156, right_input=1970, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-10020","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10020, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=10087","layer":2},{"info":"compute unary expreesion, input=10087, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"compute unary expreesion, input=1405, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"∜⨇(⨣⨃⇪(⇑⪆213220⇄⇑⪆42403⫰⋱⇑⪆14111⫣⪄⊒⇑⪆30340))=NaN","reverse_text":"NaN=∜⨇(⨣⨃⇪(⇑⪆213220⇄⇑⪆42403⫰⋱⇑⪆14111⫣⪄⊒⇑⪆30340))","cot":[{"info":"⇑⪆213220⇄⇑⪆42403=⇑⪆0","layer":3},{"info":"⇑⪆14111⫣⪄⊒⇑⪆30340=⇑⪆-310040","layer":3},{"info":"⇑⪆0⫰⋱⇑⪆-310040=⇑⪆310322","layer":2},{"info":"⨣⨃⇪⇑⪆310322=⇑⪆21110","layer":1},{"info":"∜⨇⇑⪆21110=NaN","layer":0}]}
{"id":304,"expression_no_base_symbol":"((⪓⩚$3594$⊢$4517$)⊢(($1772$⫃⨇$4147$)⋥≓≎($3819$∖$2251$)))≴⪞⇿(⊵⊁((∮$2518$)⩘⨬⇊))","expression":"((⪓⩚⇑⪆103334⊢⇑⪆121032)⊢((⇑⪆24042⫃⨇⇑⪆113042)⋥≓≎(⇑⪆110234∖⇑⪆33001)))≴⪞⇿(⊵⊁((∮⇑⪆40033)⩘⨬⇊))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9251,"operation_count":10,"complexity_ratio":925.1,"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":3594,"base":5},"right_expr":{"type":"numeric_atoms","value":4517,"base":5}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1772,"base":5},"right_expr":{"type":"numeric_atoms","value":4147,"base":5}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3819,"base":5},"right_expr":{"type":"numeric_atoms","value":2251,"base":5}}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2518,"base":5}}}}},"used_operators":["lvlrscuwVU","5twsqlHp2o","u0R0Locfp2","Qy55tPpLXF","09Ly4LVMIf","tXD093vOjl","AvED76WdY7","XXmTpEpWTW","CqXKPLVYql"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","uBihLCJcMX","k8jYdgA6NY","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"⇑⪆-1423320","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3594","layer":4},{"info":"number node, value=4517","layer":4},{"info":"compute binary expreesion, left_input=3594, right_input=4517, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-7432","layer":3},{"info":"compute unary expreesion, input=-7432, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=1772","layer":4},{"info":"number node, value=4147","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=4147, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-16620","layer":3},{"info":"number node, value=3819","layer":4},{"info":"number node, value=2251","layer":4},{"info":"compute binary expreesion, left_input=3819, right_input=2251, 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=-16620, 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 binary expreesion, left_input=426, 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=-1096","layer":1},{"info":"number node, value=2518","layer":4},{"info":"compute unary expreesion, input=2518, 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 = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=-116","layer":2},{"info":"compute unary expreesion, input=-116, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1096, right_input=0, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-29835","layer":0}],"base":5,"result_base":5,"text":"((⪓⩚⇑⪆103334⊢⇑⪆121032)⊢((⇑⪆24042⫃⨇⇑⪆113042)⋥≓≎(⇑⪆110234∖⇑⪆33001)))≴⪞⇿(⊵⊁((∮⇑⪆40033)⩘⨬⇊))=⇑⪆-1423320","reverse_text":"⇑⪆-1423320=((⪓⩚⇑⪆103334⊢⇑⪆121032)⊢((⇑⪆24042⫃⨇⇑⪆113042)⋥≓≎(⇑⪆110234∖⇑⪆33001)))≴⪞⇿(⊵⊁((∮⇑⪆40033)⩘⨬⇊))","cot":[{"info":"⇑⪆103334⊢⇑⪆121032=⇑⪆-214212","layer":3},{"info":"⪓⩚⇑⪆-214212=⇑⪆3201","layer":2},{"info":"⇑⪆24042⫃⨇⇑⪆113042=⇑⪆-1012440","layer":3},{"info":"⇑⪆110234∖⇑⪆33001=⇑⪆0","layer":3},{"info":"⇑⪆-1012440⋥≓≎⇑⪆0=⇑⪆232","layer":2},{"info":"⇑⪆3201⊢⇑⪆232=⇑⪆-13341","layer":1},{"info":"∮⇑⪆40033=⇑⪆232","layer":3},{"info":"⇑⪆232⩘⨬⇊=⇑⪆-431","layer":2},{"info":"⊵⊁⇑⪆-431=⇑⪆0","layer":1},{"info":"⇑⪆-13341≴⪞⇿⇑⪆0=⇑⪆-1423320","layer":0}]}
{"id":305,"expression_no_base_symbol":"⫵↿(($4929$⩺⪪$6867$)⇌⫙⪟(⪓⩚$4752$))≌($1261$⩷∴$2099$⫰⋱($3237$⨵⪆$3965$))","expression":"⫵↿((⇑⪆124204⩺⪪⇑⪆204432)⇌⫙⪟(⪓⩚⇑⪆123002))≌(⇑⪆20021⩷∴⇑⪆31344⫰⋱(⇑⪆100422⨵⪆⇑⪆111330))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5417,"operation_count":8,"complexity_ratio":677.125,"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":4929,"base":5},"right_expr":{"type":"numeric_atoms","value":6867,"base":5}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":4752,"base":5}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1261,"base":5},"right_expr":{"type":"numeric_atoms","value":2099,"base":5}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3237,"base":5},"right_expr":{"type":"numeric_atoms","value":3965,"base":5}}}}},"used_operators":["ivGwdmUAux","lyWz822IDG","AFVx7xoS7T","uvdQJvN4PV","u0R0Locfp2","6o9Blt3TJ6","9FxExcQeMw","2DQ55sFlQl"],"dependent_operators":["LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⇑⪆1022","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4929","layer":4},{"info":"number node, value=6867","layer":4},{"info":"compute binary expreesion, left_input=4929, right_input=6867, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=4752","layer":4},{"info":"compute unary expreesion, input=4752, 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=-1818, right_input=426, 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=1261","layer":4},{"info":"number node, value=2099","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=2099, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1708","layer":3},{"info":"number node, value=3237","layer":4},{"info":"number node, value=3965","layer":4},{"info":"compute binary expreesion, left_input=3237, right_input=3965, 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=-1708, right_input=160, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=1741","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=1741, 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 = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":0}],"base":5,"result_base":5,"text":"⫵↿((⇑⪆124204⩺⪪⇑⪆204432)⇌⫙⪟(⪓⩚⇑⪆123002))≌(⇑⪆20021⩷∴⇑⪆31344⫰⋱(⇑⪆100422⨵⪆⇑⪆111330))=⇑⪆1022","reverse_text":"⇑⪆1022=⫵↿((⇑⪆124204⩺⪪⇑⪆204432)⇌⫙⪟(⪓⩚⇑⪆123002))≌(⇑⪆20021⩷∴⇑⪆31344⫰⋱(⇑⪆100422⨵⪆⇑⪆111330))","cot":[{"info":"⇑⪆124204⩺⪪⇑⪆204432=⇑⪆-24233","layer":3},{"info":"⪓⩚⇑⪆123002=⇑⪆3201","layer":3},{"info":"⇑⪆-24233⇌⫙⪟⇑⪆3201=⇑⪆423","layer":2},{"info":"⇑⪆20021⩷∴⇑⪆31344=⇑⪆-23313","layer":3},{"info":"⇑⪆100422⨵⪆⇑⪆111330=⇑⪆1120","layer":3},{"info":"⇑⪆-23313⫰⋱⇑⪆1120=⇑⪆23431","layer":2},{"info":"⇑⪆423≌⇑⪆23431=NaN","layer":1},{"info":"⫵↿NaN=⇑⪆1022","layer":0}]}
{"id":306,"expression_no_base_symbol":"(((⋃$1937$)⫠)⋾⨃∁(⊑$2455$⩦$4352$))⩼⇪↪((↘($3583$⊾⪯⋞$1831$))⊹∫⫚(⨩∲⋌($3789$∷$2284$)))","expression":"(((⋃⇑⪆30222)⫠)⋾⨃∁(⊑⇑⪆34310⩦⇑⪆114402))⩼⇪↪((↘(⇑⪆103313⊾⪯⋞⇑⪆24311))⊹∫⫚(⨩∲⋌(⇑⪆110124∷⇑⪆33114)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":56460,"operation_count":11,"complexity_ratio":5132.727272727273,"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":1937,"base":5}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2455,"base":5},"right_expr":{"type":"numeric_atoms","value":4352,"base":5}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":3583,"base":5},"right_expr":{"type":"numeric_atoms","value":1831,"base":5}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3789,"base":5},"right_expr":{"type":"numeric_atoms","value":2284,"base":5}}}}},"used_operators":["ocnLzx9CaJ","212REbPD9h","6SnOT2rOjz","3mBM5G4a3l","IkUmn0D7oy","0kmYd0q39Y","uWAJUKEvyW","LdNpr8hQHL","HK0tfVPux8","aSik1wnThz","D3AQDKkPcf"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","g55IO6H4Gj","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","uFcxV4UQCh","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"⇑⪆141421211","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1937","layer":4},{"info":"compute unary expreesion, input=1937, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=3976","layer":3},{"info":"compute unary expreesion, input=3976, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"number node, value=2455","layer":4},{"info":"number node, value=4352","layer":4},{"info":"compute binary expreesion, left_input=2455, right_input=4352, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4910","layer":3},{"info":"compute unary expreesion, input=4910, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=192, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=366242","layer":1},{"info":"number node, value=3583","layer":4},{"info":"number node, value=1831","layer":4},{"info":"compute binary expreesion, left_input=3583, right_input=1831, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3236","layer":3},{"info":"compute unary expreesion, input=3236, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=100","layer":2},{"info":"number node, value=3789","layer":4},{"info":"number node, value=2284","layer":4},{"info":"compute binary expreesion, left_input=3789, right_input=2284, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2284","layer":3},{"info":"compute unary expreesion, input=2284, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2807","layer":2},{"info":"compute binary expreesion, left_input=100, right_input=-2807, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-140","layer":1},{"info":"compute binary expreesion, left_input=366242, right_input=-140, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=732681","layer":0}],"base":5,"result_base":5,"text":"(((⋃⇑⪆30222)⫠)⋾⨃∁(⊑⇑⪆34310⩦⇑⪆114402))⩼⇪↪((↘(⇑⪆103313⊾⪯⋞⇑⪆24311))⊹∫⫚(⨩∲⋌(⇑⪆110124∷⇑⪆33114)))=⇑⪆141421211","reverse_text":"⇑⪆141421211=(((⋃⇑⪆30222)⫠)⋾⨃∁(⊑⇑⪆34310⩦⇑⪆114402))⩼⇪↪((↘(⇑⪆103313⊾⪯⋞⇑⪆24311))⊹∫⫚(⨩∲⋌(⇑⪆110124∷⇑⪆33114)))","cot":[{"info":"⋃⇑⪆30222=⇑⪆111401","layer":3},{"info":"⇑⪆111401⫠=⇑⪆0","layer":2},{"info":"⇑⪆34310⩦⇑⪆114402=⇑⪆124120","layer":3},{"info":"⊑⇑⪆124120=⇑⪆1232","layer":2},{"info":"⇑⪆0⋾⨃∁⇑⪆1232=⇑⪆43204432","layer":1},{"info":"⇑⪆103313⊾⪯⋞⇑⪆24311=⇑⪆100421","layer":3},{"info":"↘⇑⪆100421=⇑⪆400","layer":2},{"info":"⇑⪆110124∷⇑⪆33114=⇑⪆33114","layer":3},{"info":"⨩∲⋌⇑⪆33114=⇑⪆-42212","layer":2},{"info":"⇑⪆400⊹∫⫚⇑⪆-42212=⇑⪆-1030","layer":1},{"info":"⇑⪆43204432⩼⇪↪⇑⪆-1030=⇑⪆141421211","layer":0}]}
{"id":307,"expression_no_base_symbol":"(($1416$⨓$3488$)⪮%⊝$5107$≌$1105$)≁↽≥((⫇$1191$)∀⇚≩$3642$≄⊠$3338$)⪎⩰","expression":"((⇑⪆21131⨓⇑⪆102423)⪮%⊝⇑⪆130412≌⇑⪆13410)≁↽≥((⫇⇑⪆14231)∀⇚≩⇑⪆104032≄⊠⇑⪆101323)⪎⩰","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13041,"operation_count":8,"complexity_ratio":1630.125,"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":1416,"base":5},"right_expr":{"type":"numeric_atoms","value":3488,"base":5}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":5107,"base":5},"right_expr":{"type":"numeric_atoms","value":1105,"base":5}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1191,"base":5}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3642,"base":5},"right_expr":{"type":"numeric_atoms","value":3338,"base":5}}}}},"used_operators":["2ufhKmSs5H","ncHt1X6cMc","IWmyXbctLI","3ViojmjbAp","lyWz822IDG","LRNGc0VcxI","YjI8oCXuph","vXNesLlMH1"],"dependent_operators":["DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","X99M06cbEe","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1416","layer":4},{"info":"number node, value=3488","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=3488, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3491","layer":3},{"info":"number node, value=5107","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=5107, right_input=1105, 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=-3491, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1191","layer":4},{"info":"compute unary expreesion, input=1191, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-1168","layer":3},{"info":"number node, value=3642","layer":4},{"info":"number node, value=3338","layer":4},{"info":"compute binary expreesion, left_input=3642, right_input=3338, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=58076","layer":3},{"info":"compute binary expreesion, left_input=-1168, right_input=58076, 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=nan, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆21131⨓⇑⪆102423)⪮%⊝⇑⪆130412≌⇑⪆13410)≁↽≥((⫇⇑⪆14231)∀⇚≩⇑⪆104032≄⊠⇑⪆101323)⪎⩰=NaN","reverse_text":"NaN=((⇑⪆21131⨓⇑⪆102423)⪮%⊝⇑⪆130412≌⇑⪆13410)≁↽≥((⫇⇑⪆14231)∀⇚≩⇑⪆104032≄⊠⇑⪆101323)⪎⩰","cot":[{"info":"⇑⪆21131⨓⇑⪆102423=⇑⪆-102431","layer":3},{"info":"⇑⪆130412≌⇑⪆13410=NaN","layer":3},{"info":"⇑⪆-102431⪮%⊝NaN=NaN","layer":2},{"info":"⫇⇑⪆14231=⇑⪆-14133","layer":3},{"info":"⇑⪆104032≄⊠⇑⪆101323=⇑⪆3324301","layer":3},{"info":"⇑⪆-14133∀⇚≩⇑⪆3324301=NaN","layer":2},{"info":"NaN≁↽≥NaN=NaN","layer":1},{"info":"NaN⪎⩰=NaN","layer":0}]}
{"id":308,"expression_no_base_symbol":"($1535$⊬⨰$3985$⨟⋌⩍(∑⇻≧$1041$))⨜⨶(≔$4175$)≎⪠($2271$⩖⊿$5959$)⨐⩸⫘(($6560$⫃⨇$1755$)⨝⩣∺)⫘(($5883$⋅⇍$1007$)⨕⋳)","expression":"(⇑⪆22120⊬⨰⇑⪆111420⨟⋌⩍(∑⇻≧⇑⪆13131))⨜⨶(≔⇑⪆113200)≎⪠(⇑⪆33041⩖⊿⇑⪆142314)⨐⩸⫘((⇑⪆202220⫃⨇⇑⪆24010)⨝⩣∺)⫘((⇑⪆142013⋅⇍⇑⪆13012)⨕⋳)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":30507,"operation_count":13,"complexity_ratio":2346.6923076923076,"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":1535,"base":5},"right_expr":{"type":"numeric_atoms","value":3985,"base":5}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1041,"base":5}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":4175,"base":5}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2271,"base":5},"right_expr":{"type":"numeric_atoms","value":5959,"base":5}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":6560,"base":5},"right_expr":{"type":"numeric_atoms","value":1755,"base":5}}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":5883,"base":5},"right_expr":{"type":"numeric_atoms","value":1007,"base":5}}}}},"used_operators":["fu6greOZ01","HiPekx5b7W","rGHVDoGpnC","s3Fd5m9Dh2","l1M9WJ3V7u","aNhz54LH3e","8FLs4eVsLt","RZ5CV9rWsJ","48vC8HMD2b","ancx8kZcWl","09Ly4LVMIf","4X4GscPmMf","AdZkA7nFnk"],"dependent_operators":["3ViojmjbAp","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Tcnh7f0tEr","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DZ8iAZOCBD","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1535","layer":4},{"info":"number node, value=3985","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=3985, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=16419","layer":3},{"info":"number node, value=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=16419, right_input=-852, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"number node, value=4175","layer":4},{"info":"compute unary expreesion, input=4175, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-115606","layer":3},{"info":"number node, value=2271","layer":4},{"info":"number node, value=5959","layer":4},{"info":"compute binary expreesion, left_input=2271, right_input=5959, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=38506","layer":3},{"info":"compute binary expreesion, left_input=-115606, right_input=38506, 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=0, right_input=19558, 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=-38860","layer":1},{"info":"number node, value=6560","layer":4},{"info":"number node, value=1755","layer":4},{"info":"compute binary expreesion, left_input=6560, right_input=1755, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-7052","layer":3},{"info":"compute unary expreesion, input=-7052, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-7052","layer":2},{"info":"number node, value=5883","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=5883, right_input=1007, 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 = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-99834","layer":2},{"info":"compute binary expreesion, left_input=-7052, right_input=-99834, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=31089059","layer":1},{"info":"compute binary expreesion, left_input=-38860, right_input=31089059, 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":5,"result_base":5,"text":"(⇑⪆22120⊬⨰⇑⪆111420⨟⋌⩍(∑⇻≧⇑⪆13131))⨜⨶(≔⇑⪆113200)≎⪠(⇑⪆33041⩖⊿⇑⪆142314)⨐⩸⫘((⇑⪆202220⫃⨇⇑⪆24010)⨝⩣∺)⫘((⇑⪆142013⋅⇍⇑⪆13012)⨕⋳)=NaN","reverse_text":"NaN=(⇑⪆22120⊬⨰⇑⪆111420⨟⋌⩍(∑⇻≧⇑⪆13131))⨜⨶(≔⇑⪆113200)≎⪠(⇑⪆33041⩖⊿⇑⪆142314)⨐⩸⫘((⇑⪆202220⫃⨇⇑⪆24010)⨝⩣∺)⫘((⇑⪆142013⋅⇍⇑⪆13012)⨕⋳)","cot":[{"info":"⇑⪆22120⊬⨰⇑⪆111420=⇑⪆1011134","layer":3},{"info":"∑⇻≧⇑⪆13131=⇑⪆-11402","layer":3},{"info":"⇑⪆1011134⨟⋌⩍⇑⪆-11402=⇑⪆0","layer":2},{"info":"≔⇑⪆113200=⇑⪆-12144411","layer":3},{"info":"⇑⪆33041⩖⊿⇑⪆142314=⇑⪆2213011","layer":3},{"info":"⇑⪆-12144411≎⪠⇑⪆2213011=⇑⪆1111213","layer":2},{"info":"⇑⪆0⨜⨶⇑⪆1111213=⇑⪆-2220420","layer":1},{"info":"⇑⪆202220⫃⨇⇑⪆24010=⇑⪆-211202","layer":3},{"info":"⇑⪆-211202⨝⩣∺=⇑⪆-211202","layer":2},{"info":"⇑⪆142013⋅⇍⇑⪆13012=⇑⪆-42","layer":3},{"info":"⇑⪆-42⨕⋳=⇑⪆-11143314","layer":2},{"info":"⇑⪆-211202⫘⇑⪆-11143314=⇑⪆30424322214","layer":1},{"info":"⇑⪆-2220420⨐⩸⫘⇑⪆30424322214=NaN","layer":0}]}
{"id":309,"expression_no_base_symbol":"(($1147$⊾⪯⋞$1422$⋻⩜⩜$1742$⨪↰⇹$1513$)↑)⪟⇏(($1481$⊝⪿⪼$1661$%$1467$⩌⋺$1960$)⫣⪄⊒($3139$⊴$1422$⫚↹⊑$1680$⊲⩕⊾$1475$))","expression":"((⇑⪆14042⊾⪯⋞⇑⪆21142⋻⩜⩜⇑⪆23432⨪↰⇹⇑⪆22023)↑)⪟⇏((⇑⪆21411⊝⪿⪼⇑⪆23121%⇑⪆21332⩌⋺⇑⪆30320)⫣⪄⊒(⇑⪆100024⊴⇑⪆21142⫚↹⊑⇑⪆23210⊲⩕⊾⇑⪆21400))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":33187,"operation_count":12,"complexity_ratio":2765.5833333333335,"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":1147,"base":5},"right_expr":{"type":"numeric_atoms","value":1422,"base":5}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1742,"base":5},"right_expr":{"type":"numeric_atoms","value":1513,"base":5}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1481,"base":5},"right_expr":{"type":"numeric_atoms","value":1661,"base":5}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1467,"base":5},"right_expr":{"type":"numeric_atoms","value":1960,"base":5}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3139,"base":5},"right_expr":{"type":"numeric_atoms","value":1422,"base":5}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1680,"base":5},"right_expr":{"type":"numeric_atoms","value":1475,"base":5}}}}},"used_operators":["GODebY97qR","BThhyOhh10","oDCm7WA9JY","HK0tfVPux8","tmPS8pqC7x","RabNbG55vr","k8jYdgA6NY","3Oe9XWJUTD","g7Hmc5v1ko","dfKe02y8D2","Nsiff2A1zJ","DmTXOeWf9t"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rJVOvQCfKK","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","dWAJyo7jo9","14qkJME0vr","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1147","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=1422, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2418","layer":3},{"info":"number node, value=1742","layer":4},{"info":"number node, value=1513","layer":4},{"info":"compute binary expreesion, left_input=1742, right_input=1513, 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=1742","layer":3},{"info":"compute binary expreesion, left_input=2418, right_input=1742, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4836","layer":2},{"info":"compute unary expreesion, input=4836, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":1},{"info":"number node, value=1481","layer":4},{"info":"number node, value=1661","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=1661, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=25775","layer":3},{"info":"number node, value=1467","layer":4},{"info":"number node, value=1960","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=1960, 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=-3548","layer":3},{"info":"compute binary expreesion, left_input=25775, right_input=-3548, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-2609","layer":2},{"info":"number node, value=3139","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=3139, right_input=1422, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1680","layer":4},{"info":"number node, value=1475","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=1475, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-38260","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-38260, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-2609, right_input=-447, 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=222, right_input=160, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆14042⊾⪯⋞⇑⪆21142⋻⩜⩜⇑⪆23432⨪↰⇹⇑⪆22023)↑)⪟⇏((⇑⪆21411⊝⪿⪼⇑⪆23121%⇑⪆21332⩌⋺⇑⪆30320)⫣⪄⊒(⇑⪆100024⊴⇑⪆21142⫚↹⊑⇑⪆23210⊲⩕⊾⇑⪆21400))=⇑⪆0","reverse_text":"⇑⪆0=((⇑⪆14042⊾⪯⋞⇑⪆21142⋻⩜⩜⇑⪆23432⨪↰⇹⇑⪆22023)↑)⪟⇏((⇑⪆21411⊝⪿⪼⇑⪆23121%⇑⪆21332⩌⋺⇑⪆30320)⫣⪄⊒(⇑⪆100024⊴⇑⪆21142⫚↹⊑⇑⪆23210⊲⩕⊾⇑⪆21400))","cot":[{"info":"⇑⪆14042⊾⪯⋞⇑⪆21142=⇑⪆34133","layer":3},{"info":"⇑⪆23432⨪↰⇹⇑⪆22023=⇑⪆23432","layer":3},{"info":"⇑⪆34133⋻⩜⩜⇑⪆23432=⇑⪆123321","layer":2},{"info":"⇑⪆123321↑=⇑⪆1342","layer":1},{"info":"⇑⪆21411⊝⪿⪼⇑⪆23121=⇑⪆1311100","layer":3},{"info":"⇑⪆21332⩌⋺⇑⪆30320=⇑⪆-103143","layer":3},{"info":"⇑⪆1311100%⇑⪆-103143=⇑⪆-40414","layer":2},{"info":"⇑⪆100024⊴⇑⪆21142=NaN","layer":3},{"info":"⇑⪆23210⊲⩕⊾⇑⪆21400=⇑⪆-2211020","layer":3},{"info":"NaN⫚↹⊑⇑⪆-2211020=⇑⪆-3242","layer":2},{"info":"⇑⪆-40414⫣⪄⊒⇑⪆-3242=⇑⪆1120","layer":1},{"info":"⇑⪆1342⪟⇏⇑⪆1120=⇑⪆0","layer":0}]}
{"id":310,"expression_no_base_symbol":"(⊄⩳↩((⊲⪭$6531$)∙∹∝$1516$⫸⊐$3702$))⊨((($2971$⩏)⪗)∽(⇺⋃($1493$≄⊠$3297$)))","expression":"(⊄⩳↩((⊲⪭⇑⪆202111)∙∹∝⇑⪆22031⫸⊐⇑⪆104302))⊨(((⇑⪆43341⩏)⪗)∽(⇺⋃(⇑⪆21433≄⊠⇑⪆101142)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":711,"operation_count":10,"complexity_ratio":71.1,"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":6531,"base":5}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1516,"base":5},"right_expr":{"type":"numeric_atoms","value":3702,"base":5}}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":2971,"base":5}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1493,"base":5},"right_expr":{"type":"numeric_atoms","value":3297,"base":5}}}}},"used_operators":["vg4gO5BX6G","8w2t5hMYqp","HmxsFra2vL","k7HXdKtiEU","mqXw5SEYmG","y4ImoPnbV5","VEQNXA0ZBg","iA2gmKZ3Wj","E5v5B3UAjG","vXNesLlMH1"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","i8ToyICDmI","xUOZtlo3hN","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","NTOWxs364D","QMFrweE19q","dWAJyo7jo9","z6LnFrNh4i","Tcnh7f0tEr","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6531","layer":4},{"info":"compute unary expreesion, input=6531, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-6705","layer":3},{"info":"number node, value=1516","layer":4},{"info":"number node, value=3702","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=3702, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14683","layer":3},{"info":"compute binary expreesion, left_input=-6705, right_input=14683, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":1},{"info":"number node, value=2971","layer":4},{"info":"compute unary expreesion, input=2971, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=0","layer":2},{"info":"number node, value=1493","layer":4},{"info":"number node, value=3297","layer":4},{"info":"compute binary expreesion, left_input=1493, right_input=3297, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=57420","layer":3},{"info":"compute unary expreesion, input=57420, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⊄⩳↩((⊲⪭⇑⪆202111)∙∹∝⇑⪆22031⫸⊐⇑⪆104302))⊨(((⇑⪆43341⩏)⪗)∽(⇺⋃(⇑⪆21433≄⊠⇑⪆101142)))=NaN","reverse_text":"NaN=(⊄⩳↩((⊲⪭⇑⪆202111)∙∹∝⇑⪆22031⫸⊐⇑⪆104302))⊨(((⇑⪆43341⩏)⪗)∽(⇺⋃(⇑⪆21433≄⊠⇑⪆101142)))","cot":[{"info":"⊲⪭⇑⪆202111=⇑⪆-203310","layer":3},{"info":"⇑⪆22031⫸⊐⇑⪆104302=⇑⪆432213","layer":3},{"info":"⇑⪆-203310∙∹∝⇑⪆432213=⇑⪆0","layer":2},{"info":"⊄⩳↩⇑⪆0=⇑⪆0","layer":1},{"info":"⇑⪆43341⩏=⇑⪆0","layer":3},{"info":"⇑⪆0⪗=⇑⪆0","layer":2},{"info":"⇑⪆21433≄⊠⇑⪆101142=⇑⪆3314140","layer":3},{"info":"⇺⋃⇑⪆3314140=NaN","layer":2},{"info":"⇑⪆0∽NaN=NaN","layer":1},{"info":"⇑⪆0⊨NaN=NaN","layer":0}]}
{"id":311,"expression_no_base_symbol":"⇋↷((↞≼$1797$)⪛(⨆≐≲$3166$)↱(⊀$1283$)⋅⇍(⨑⩽⪐$5335$))","expression":"⇋↷((↞≼⇑⪆24142)⪛(⨆≐≲⇑⪆100131)↱(⊀⇑⪆20113)⋅⇍(⨑⩽⪐⇑⪆132320))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":219,"operation_count":8,"complexity_ratio":27.375,"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":1797,"base":5}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":3166,"base":5}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1283,"base":5}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5335,"base":5}}}}},"used_operators":["SWo3A1KBJH","SR5kFfdi6N","uFcxV4UQCh","DE7zCoGJt9","Bi9z9uYZqW","AdZkA7nFnk","oPMjh9089D","AF7qkfDlqP"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⇑⪆-12043123","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1797","layer":4},{"info":"compute unary expreesion, input=1797, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=13962","layer":3},{"info":"number node, value=3166","layer":4},{"info":"compute unary expreesion, input=3166, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=34315224","layer":3},{"info":"compute binary expreesion, left_input=13962, right_input=34315224, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=13962","layer":2},{"info":"number node, value=1283","layer":4},{"info":"compute unary expreesion, input=1283, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=4870","layer":3},{"info":"number node, value=5335","layer":4},{"info":"compute unary expreesion, input=5335, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5062","layer":3},{"info":"compute binary expreesion, left_input=4870, right_input=-5062, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-5443","layer":2},{"info":"compute binary expreesion, left_input=13962, right_input=-5443, 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=-28232","layer":1},{"info":"compute unary expreesion, input=-28232, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-112288","layer":0}],"base":5,"result_base":5,"text":"⇋↷((↞≼⇑⪆24142)⪛(⨆≐≲⇑⪆100131)↱(⊀⇑⪆20113)⋅⇍(⨑⩽⪐⇑⪆132320))=⇑⪆-12043123","reverse_text":"⇑⪆-12043123=⇋↷((↞≼⇑⪆24142)⪛(⨆≐≲⇑⪆100131)↱(⊀⇑⪆20113)⋅⇍(⨑⩽⪐⇑⪆132320))","cot":[{"info":"↞≼⇑⪆24142=⇑⪆421322","layer":3},{"info":"⨆≐≲⇑⪆100131=⇑⪆32241041344","layer":3},{"info":"⇑⪆421322⪛⇑⪆32241041344=⇑⪆421322","layer":2},{"info":"⊀⇑⪆20113=⇑⪆123440","layer":3},{"info":"⨑⩽⪐⇑⪆132320=⇑⪆-130222","layer":3},{"info":"⇑⪆123440⋅⇍⇑⪆-130222=⇑⪆-133233","layer":2},{"info":"⇑⪆421322↱⇑⪆-133233=⇑⪆-1400412","layer":1},{"info":"⇋↷⇑⪆-1400412=⇑⪆-12043123","layer":0}]}
{"id":312,"expression_no_base_symbol":"((($1541$≣⋋)*$1000$⩁⩘$3462$)≒∊(⨮↦↱($2784$⨘⋶⪀)))⫁⪎((($5806$⪶≀⋏$1923$)∼($5453$⋩≍≻))⪢($1317$⨜⨶$6697$≓∲(↥$1890$)))","expression":"(((⇑⪆22131≣⋋)*⇑⪆13000⩁⩘⇑⪆102322)≒∊(⨮↦↱(⇑⪆42114⨘⋶⪀)))⫁⪎(((⇑⪆141211⪶≀⋏⇑⪆30143)∼(⇑⪆133303⋩≍≻))⪢(⇑⪆20232⨜⨶⇑⪆203242≓∲(↥⇑⪆30030)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1991,"operation_count":14,"complexity_ratio":142.21428571428572,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1541,"base":5}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1000,"base":5},"right_expr":{"type":"numeric_atoms","value":3462,"base":5}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":2784,"base":5}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":5806,"base":5},"right_expr":{"type":"numeric_atoms","value":1923,"base":5}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":5453,"base":5}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1317,"base":5},"right_expr":{"type":"numeric_atoms","value":6697,"base":5}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1890,"base":5}}}}},"used_operators":["xRrnTEsQ6j","5KTvxBwnZo","9HNa5Wba9A","Tcnh7f0tEr","gub5Cegaqo","sYcpBQ0cFf","XVKwrhznBb","dWAJyo7jo9","DyGG3AbaNP","zR4jO40bMj","WYd1w68Nbz","s1XTVnmDOJ","HiPekx5b7W","A8NUZmVepG"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","DpFCA1CohY","IWmyXbctLI","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1541","layer":4},{"info":"compute unary expreesion, input=1541, 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=1000","layer":4},{"info":"number node, value=3462","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=3462, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=14796","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=14796, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=2784","layer":4},{"info":"compute unary expreesion, input=2784, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=nan","layer":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":"number node, value=5806","layer":4},{"info":"number node, value=1923","layer":4},{"info":"compute binary expreesion, left_input=5806, right_input=1923, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-21496","layer":3},{"info":"number node, value=5453","layer":4},{"info":"compute unary expreesion, input=5453, 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=-21496, right_input=-55, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"number node, value=1317","layer":4},{"info":"number node, value=6697","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=6697, 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=-13138","layer":3},{"info":"number node, value=1890","layer":4},{"info":"compute unary expreesion, input=1890, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=3","layer":3},{"info":"compute binary expreesion, left_input=-13138, right_input=3, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆22131≣⋋)*⇑⪆13000⩁⩘⇑⪆102322)≒∊(⨮↦↱(⇑⪆42114⨘⋶⪀)))⫁⪎(((⇑⪆141211⪶≀⋏⇑⪆30143)∼(⇑⪆133303⋩≍≻))⪢(⇑⪆20232⨜⨶⇑⪆203242≓∲(↥⇑⪆30030)))=NaN","reverse_text":"NaN=(((⇑⪆22131≣⋋)*⇑⪆13000⩁⩘⇑⪆102322)≒∊(⨮↦↱(⇑⪆42114⨘⋶⪀)))⫁⪎(((⇑⪆141211⪶≀⋏⇑⪆30143)∼(⇑⪆133303⋩≍≻))⪢(⇑⪆20232⨜⨶⇑⪆203242≓∲(↥⇑⪆30030)))","cot":[{"info":"⇑⪆22131≣⋋=⇑⪆0","layer":3},{"info":"⇑⪆13000⩁⩘⇑⪆102322=⇑⪆433141","layer":3},{"info":"⇑⪆0*⇑⪆433141=⇑⪆0","layer":2},{"info":"⇑⪆42114⨘⋶⪀=NaN","layer":3},{"info":"⨮↦↱NaN=NaN","layer":2},{"info":"⇑⪆0≒∊NaN=NaN","layer":1},{"info":"⇑⪆141211⪶≀⋏⇑⪆30143=⇑⪆-1141441","layer":3},{"info":"⇑⪆133303⋩≍≻=⇑⪆-210","layer":3},{"info":"⇑⪆-1141441∼⇑⪆-210=⇑⪆0","layer":2},{"info":"⇑⪆20232⨜⨶⇑⪆203242=⇑⪆-410023","layer":3},{"info":"↥⇑⪆30030=⇑⪆3","layer":3},{"info":"⇑⪆-410023≓∲⇑⪆3=⇑⪆232","layer":2},{"info":"⇑⪆0⪢⇑⪆232=NaN","layer":1},{"info":"NaN⫁⪎NaN=NaN","layer":0}]}
{"id":313,"expression_no_base_symbol":"(⋗⩬⋾($2247$⊮⊟↴$1053$%(≛$1310$)))⫸⊐(($1078$∠↢$1043$)⫲≸⪮$4397$∊∟⩊$4791$⇐≅)","expression":"(⋗⩬⋾(⇑⪆32442⊮⊟↴⇑⪆13203%(≛⇑⪆20220)))⫸⊐((⇑⪆13303∠↢⇑⪆13133)⫲≸⪮⇑⪆120042∊∟⩊⇑⪆123131⇐≅)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":17928,"operation_count":9,"complexity_ratio":1992.0,"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":2247,"base":5},"right_expr":{"type":"numeric_atoms","value":1053,"base":5}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1310,"base":5}}}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1078,"base":5},"right_expr":{"type":"numeric_atoms","value":1043,"base":5}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":4397,"base":5},"right_expr":{"type":"numeric_atoms","value":4791,"base":5}}}}},"used_operators":["mqXw5SEYmG","DpFCA1CohY","k8jYdgA6NY","QDVgd2eftb","W7eaUhjymW","wEfv7U73WA","P3lXMJvFrc","KbjG8mgYpV","ddLRYrp01A"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2247","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=2247, right_input=1053, 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=1310","layer":4},{"info":"compute unary expreesion, input=1310, 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=0, right_input=-10, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":2},{"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":1},{"info":"number node, value=1078","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=1043, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-17832","layer":3},{"info":"number node, value=4397","layer":4},{"info":"number node, value=4791","layer":4},{"info":"compute binary expreesion, left_input=4397, right_input=4791, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=4791","layer":3},{"info":"compute binary expreesion, left_input=-17832, right_input=4791, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-17832","layer":2},{"info":"compute unary expreesion, input=-17832, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=17359","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=17359, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"(⋗⩬⋾(⇑⪆32442⊮⊟↴⇑⪆13203%(≛⇑⪆20220)))⫸⊐((⇑⪆13303∠↢⇑⪆13133)⫲≸⪮⇑⪆120042∊∟⩊⇑⪆123131⇐≅)=⇑⪆0","reverse_text":"⇑⪆0=(⋗⩬⋾(⇑⪆32442⊮⊟↴⇑⪆13203%(≛⇑⪆20220)))⫸⊐((⇑⪆13303∠↢⇑⪆13133)⫲≸⪮⇑⪆120042∊∟⩊⇑⪆123131⇐≅)","cot":[{"info":"⇑⪆32442⊮⊟↴⇑⪆13203=⇑⪆0","layer":3},{"info":"≛⇑⪆20220=⇑⪆-20","layer":3},{"info":"⇑⪆0%⇑⪆-20=⇑⪆0","layer":2},{"info":"⋗⩬⋾⇑⪆0=⇑⪆0","layer":1},{"info":"⇑⪆13303∠↢⇑⪆13133=⇑⪆-1032312","layer":3},{"info":"⇑⪆120042∊∟⩊⇑⪆123131=⇑⪆123131","layer":3},{"info":"⇑⪆-1032312⫲≸⪮⇑⪆123131=⇑⪆-1032312","layer":2},{"info":"⇑⪆-1032312⇐≅=⇑⪆1023414","layer":1},{"info":"⇑⪆0⫸⊐⇑⪆1023414=⇑⪆0","layer":0}]}
{"id":314,"expression_no_base_symbol":"((≪($1304$⩚⊴⇥$1154$))≃⋄)⩧⪆(($1761$⊲⩕⊾$2236$)⪒⊣⊆($1882$⪢$1037$))⇂≾⫗((⪹$1413$)↼⊘⨖($5199$⩟))","expression":"((≪(⇑⪆20204⩚⊴⇥⇑⪆14104))≃⋄)⩧⪆((⇑⪆24021⊲⩕⊾⇑⪆32421)⪒⊣⊆(⇑⪆30012⪢⇑⪆13122))⇂≾⫗((⪹⇑⪆21123)↼⊘⨖(⇑⪆131244⩟))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2587,"operation_count":11,"complexity_ratio":235.1818181818182,"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":1304,"base":5},"right_expr":{"type":"numeric_atoms","value":1154,"base":5}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1761,"base":5},"right_expr":{"type":"numeric_atoms","value":2236,"base":5}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1882,"base":5},"right_expr":{"type":"numeric_atoms","value":1037,"base":5}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1413,"base":5}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":5199,"base":5}}}}},"used_operators":["Ikt5ks8PT7","aN9a90urxU","Qtd6bqUJcN","NTOWxs364D","aBQ6xLxuTc","eRqsBgTDFp","DmTXOeWf9t","dWAJyo7jo9","bPywburJMS","USyYr0JgAa","fOIeswaMU4"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","uFcxV4UQCh","jLgFTUHLKL","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","sdazOOVcIp","W4YGzv6Whe","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","k8jYdgA6NY","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","tifHPKVTfV","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1304","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=1304, right_input=1154, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2579","layer":3},{"info":"compute unary expreesion, input=-2579, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=30819","layer":2},{"info":"compute unary expreesion, input=30819, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":1},{"info":"number node, value=1761","layer":4},{"info":"number node, value=2236","layer":4},{"info":"compute binary expreesion, left_input=1761, right_input=2236, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-47166","layer":3},{"info":"number node, value=1882","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=1882, right_input=1037, 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=-47166, 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=1413","layer":4},{"info":"compute unary expreesion, input=1413, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1233","layer":3},{"info":"number node, value=5199","layer":4},{"info":"compute unary expreesion, input=5199, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-45564","layer":3},{"info":"compute binary expreesion, left_input=-1233, right_input=-45564, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-91350","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-91350, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=764, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((≪(⇑⪆20204⩚⊴⇥⇑⪆14104))≃⋄)⩧⪆((⇑⪆24021⊲⩕⊾⇑⪆32421)⪒⊣⊆(⇑⪆30012⪢⇑⪆13122))⇂≾⫗((⪹⇑⪆21123)↼⊘⨖(⇑⪆131244⩟))=NaN","reverse_text":"NaN=((≪(⇑⪆20204⩚⊴⇥⇑⪆14104))≃⋄)⩧⪆((⇑⪆24021⊲⩕⊾⇑⪆32421)⪒⊣⊆(⇑⪆30012⪢⇑⪆13122))⇂≾⫗((⪹⇑⪆21123)↼⊘⨖(⇑⪆131244⩟))","cot":[{"info":"⇑⪆20204⩚⊴⇥⇑⪆14104=⇑⪆-40304","layer":3},{"info":"≪⇑⪆-40304=⇑⪆1441234","layer":2},{"info":"⇑⪆1441234≃⋄=⇑⪆11024","layer":1},{"info":"⇑⪆24021⊲⩕⊾⇑⪆32421=⇑⪆-3002131","layer":3},{"info":"⇑⪆30012⪢⇑⪆13122=NaN","layer":3},{"info":"⇑⪆-3002131⪒⊣⊆NaN=NaN","layer":2},{"info":"⪹⇑⪆21123=⇑⪆-14413","layer":3},{"info":"⇑⪆131244⩟=⇑⪆-2424224","layer":3},{"info":"⇑⪆-14413↼⊘⨖⇑⪆-2424224=⇑⪆-10410400","layer":2},{"info":"NaN⇂≾⫗⇑⪆-10410400=NaN","layer":1},{"info":"⇑⪆11024⩧⪆NaN=NaN","layer":0}]}
{"id":315,"expression_no_base_symbol":"↥(($2764$⊲⩕⊾$3747$)⊱⇼⊻(⇜$1627$)⊿∆)","expression":"↥((⇑⪆42024⊲⩕⊾⇑⪆104442)⊱⇼⊻(⇜⇑⪆23002)⊿∆)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":12530,"operation_count":5,"complexity_ratio":2506.0,"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":2764,"base":5},"right_expr":{"type":"numeric_atoms","value":3747,"base":5}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1627,"base":5}}}}},"used_operators":["A8NUZmVepG","fv3ZujxkQL","FyVja0WsTP","DmTXOeWf9t","lFBm8KRb8F"],"dependent_operators":["k8jYdgA6NY","NTOWxs364D","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr"],"result":"⇑⪆134","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2764","layer":4},{"info":"number node, value=3747","layer":4},{"info":"compute binary expreesion, left_input=2764, right_input=3747, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-78324","layer":3},{"info":"number node, value=1627","layer":4},{"info":"compute unary expreesion, input=1627, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-13424","layer":3},{"info":"compute binary expreesion, left_input=-78324, right_input=-13424, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=-310494","layer":2},{"info":"compute unary expreesion, input=-310494, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=620867","layer":1},{"info":"compute unary expreesion, input=620867, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=44","layer":0}],"base":5,"result_base":5,"text":"↥((⇑⪆42024⊲⩕⊾⇑⪆104442)⊱⇼⊻(⇜⇑⪆23002)⊿∆)=⇑⪆134","reverse_text":"⇑⪆134=↥((⇑⪆42024⊲⩕⊾⇑⪆104442)⊱⇼⊻(⇜⇑⪆23002)⊿∆)","cot":[{"info":"⇑⪆42024⊲⩕⊾⇑⪆104442=⇑⪆-10001244","layer":3},{"info":"⇜⇑⪆23002=⇑⪆-412144","layer":3},{"info":"⇑⪆-10001244⊱⇼⊻⇑⪆-412144=⇑⪆-34413434","layer":2},{"info":"⇑⪆-34413434⊿∆=⇑⪆124331432","layer":1},{"info":"↥⇑⪆124331432=⇑⪆134","layer":0}]}
{"id":316,"expression_no_base_symbol":"⊖∈((↥$5779$+⇶⊼$2902$)⪁(↨(↩⪖$1418$)))","expression":"⊖∈((↥⇑⪆141104+⇶⊼⇑⪆43102)⪁(↨(↩⪖⇑⪆21133)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":244,"operation_count":6,"complexity_ratio":40.666666666666664,"tree":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5779,"base":5},"right_expr":{"type":"numeric_atoms","value":2902,"base":5}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1418,"base":5}}}}},"used_operators":["YFxL8Sc2Zy","I7sXao9hZE","A8NUZmVepG","TpPTUOHfaN","jiX4gk2v2Q","fG6uBQFnGz"],"dependent_operators":["zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","k8jYdgA6NY","AHs5Up7iyr","rGHVDoGpnC","oZj3VtZNQx","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5779","layer":4},{"info":"number node, value=2902","layer":4},{"info":"compute binary expreesion, left_input=5779, right_input=2902, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"number node, value=1418","layer":4},{"info":"compute unary expreesion, input=1418, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-11490","layer":3},{"info":"compute unary expreesion, input=-11490, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⊖∈((↥⇑⪆141104+⇶⊼⇑⪆43102)⪁(↨(↩⪖⇑⪆21133)))=NaN","reverse_text":"NaN=⊖∈((↥⇑⪆141104+⇶⊼⇑⪆43102)⪁(↨(↩⪖⇑⪆21133)))","cot":[{"info":"⇑⪆141104+⇶⊼⇑⪆43102=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"↩⪖⇑⪆21133=⇑⪆-331430","layer":3},{"info":"↨⇑⪆-331430=NaN","layer":2},{"info":"NaN⪁NaN=NaN","layer":1},{"info":"⊖∈NaN=NaN","layer":0}]}
{"id":317,"expression_no_base_symbol":"($3466$⨫⇇↔$1882$⋻⩜⩜$3726$∺≝⩲$1860$)∥⊢⊲($1146$⨐$3167$⊔($4084$≧⫂∧$3041$))⇀∌","expression":"(⇑⪆102331⨫⇇↔⇑⪆30012⋻⩜⩜⇑⪆104401∺≝⩲⇑⪆24420)∥⊢⊲(⇑⪆14041⨐⇑⪆100132⊔(⇑⪆112314≧⫂∧⇑⪆44131))⇀∌","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2642,"operation_count":8,"complexity_ratio":330.25,"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":3466,"base":5},"right_expr":{"type":"numeric_atoms","value":1882,"base":5}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3726,"base":5},"right_expr":{"type":"numeric_atoms","value":1860,"base":5}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1146,"base":5},"right_expr":{"type":"numeric_atoms","value":3167,"base":5}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4084,"base":5},"right_expr":{"type":"numeric_atoms","value":3041,"base":5}}}}},"used_operators":["2k53nXOpI5","v1UQAVDJRr","oDCm7WA9JY","LXhwmt4mBO","KPf6cnQVty","E4l6HwMY31","Noe24qw2ks","Ph9nP6C5qx"],"dependent_operators":["Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","EBcxylXtPf","rGHVDoGpnC","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"⇑⪆423","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=3466","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=3466, right_input=1882, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=3726","layer":4},{"info":"number node, value=1860","layer":4},{"info":"compute binary expreesion, left_input=3726, right_input=1860, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-527, 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":2},{"info":"number node, value=1146","layer":4},{"info":"number node, value=3167","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=3167, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2292","layer":3},{"info":"number node, value=4084","layer":4},{"info":"number node, value=3041","layer":4},{"info":"compute binary expreesion, left_input=4084, right_input=3041, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2568","layer":3},{"info":"compute binary expreesion, left_input=-2292, right_input=2568, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=15162","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15162, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=15162","layer":1},{"info":"compute unary expreesion, input=15162, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆102331⨫⇇↔⇑⪆30012⋻⩜⩜⇑⪆104401∺≝⩲⇑⪆24420)∥⊢⊲(⇑⪆14041⨐⇑⪆100132⊔(⇑⪆112314≧⫂∧⇑⪆44131))⇀∌=⇑⪆423","reverse_text":"⇑⪆423=(⇑⪆102331⨫⇇↔⇑⪆30012⋻⩜⩜⇑⪆104401∺≝⩲⇑⪆24420)∥⊢⊲(⇑⪆14041⨐⇑⪆100132⊔(⇑⪆112314≧⫂∧⇑⪆44131))⇀∌","cot":[{"info":"⇑⪆102331⨫⇇↔⇑⪆30012=⇑⪆-4102","layer":3},{"info":"⇑⪆104401∺≝⩲⇑⪆24420=⇑⪆1120","layer":3},{"info":"⇑⪆-4102⋻⩜⩜⇑⪆1120=NaN","layer":2},{"info":"⇑⪆14041⨐⇑⪆100132=⇑⪆-33132","layer":3},{"info":"⇑⪆112314≧⫂∧⇑⪆44131=⇑⪆40233","layer":3},{"info":"⇑⪆-33132⊔⇑⪆40233=⇑⪆441122","layer":2},{"info":"NaN∥⊢⊲⇑⪆441122=⇑⪆441122","layer":1},{"info":"⇑⪆441122⇀∌=⇑⪆423","layer":0}]}
{"id":318,"expression_no_base_symbol":"(⫛⫱⨽($1537$∳⫺$4232$⋾⨃∁$1682$⊲⩕⊾$2306$))⪝(($1015$⨐⩸⫘$1642$)⨑⩅≇$1771$⪬$1858$⇤($3244$⊲⩕⊾$4196$≃(⊙↵-$1824$)))","expression":"(⫛⫱⨽(⇑⪆22122∳⫺⇑⪆113412⋾⨃∁⇑⪆23212⊲⩕⊾⇑⪆33211))⪝((⇑⪆13030⨐⩸⫘⇑⪆23032)⨑⩅≇⇑⪆24041⪬⇑⪆24413⇤(⇑⪆100434⊲⩕⊾⇑⪆113241≃(⊙↵-⇑⪆24244)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4188,"operation_count":12,"complexity_ratio":349.0,"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":1537,"base":5},"right_expr":{"type":"numeric_atoms","value":4232,"base":5}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1682,"base":5},"right_expr":{"type":"numeric_atoms","value":2306,"base":5}}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1015,"base":5},"right_expr":{"type":"numeric_atoms","value":1642,"base":5}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1771,"base":5},"right_expr":{"type":"numeric_atoms","value":1858,"base":5}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3244,"base":5},"right_expr":{"type":"numeric_atoms","value":4196,"base":5}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1824,"base":5}}}}},"used_operators":["wicAB68Tmb","DlLNRPXxWL","212REbPD9h","AzXXKTstlj","DmTXOeWf9t","YSKBFp38Pu","h92wMvzauj","fu6greOZ01","Ez1Nq5fNfI","YbVcJGFEVW","oWn0xqSxBt"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rGHVDoGpnC","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","3ViojmjbAp","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⇑⪆-200032","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1537","layer":4},{"info":"number node, value=4232","layer":4},{"info":"compute binary expreesion, left_input=1537, right_input=4232, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-2254","layer":3},{"info":"number node, value=1682","layer":4},{"info":"number node, value=2306","layer":4},{"info":"compute binary expreesion, left_input=1682, right_input=2306, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-46602","layer":3},{"info":"compute binary expreesion, left_input=-2254, right_input=-46602, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=1015","layer":4},{"info":"number node, value=1642","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=1642, 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=1771","layer":4},{"info":"number node, value=1858","layer":4},{"info":"compute binary expreesion, left_input=1771, right_input=1858, 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 = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":2},{"info":"number node, value=3244","layer":4},{"info":"number node, value=4196","layer":4},{"info":"compute binary expreesion, left_input=3244, right_input=4196, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-90494","layer":3},{"info":"number node, value=1824","layer":4},{"info":"compute unary expreesion, input=1824, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-90494, right_input=-1, 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=-72","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=-72, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-1467","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1467, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-6267","layer":0}],"base":5,"result_base":5,"text":"(⫛⫱⨽(⇑⪆22122∳⫺⇑⪆113412⋾⨃∁⇑⪆23212⊲⩕⊾⇑⪆33211))⪝((⇑⪆13030⨐⩸⫘⇑⪆23032)⨑⩅≇⇑⪆24041⪬⇑⪆24413⇤(⇑⪆100434⊲⩕⊾⇑⪆113241≃(⊙↵-⇑⪆24244)))=⇑⪆-200032","reverse_text":"⇑⪆-200032=(⫛⫱⨽(⇑⪆22122∳⫺⇑⪆113412⋾⨃∁⇑⪆23212⊲⩕⊾⇑⪆33211))⪝((⇑⪆13030⨐⩸⫘⇑⪆23032)⨑⩅≇⇑⪆24041⪬⇑⪆24413⇤(⇑⪆100434⊲⩕⊾⇑⪆113241≃(⊙↵-⇑⪆24244)))","cot":[{"info":"⇑⪆22122∳⫺⇑⪆113412=⇑⪆-33004","layer":3},{"info":"⇑⪆23212⊲⩕⊾⇑⪆33211=⇑⪆-2442402","layer":3},{"info":"⇑⪆-33004⋾⨃∁⇑⪆-2442402=⇑⪆1120","layer":2},{"info":"⫛⫱⨽⇑⪆1120=⇑⪆0","layer":1},{"info":"⇑⪆13030⨐⩸⫘⇑⪆23032=NaN","layer":3},{"info":"⇑⪆24041⪬⇑⪆24413=⇑⪆14414","layer":3},{"info":"NaN⨑⩅≇⇑⪆14414=⇑⪆12220","layer":2},{"info":"⇑⪆100434⊲⩕⊾⇑⪆113241=⇑⪆-10343434","layer":3},{"info":"⊙↵-⇑⪆24244=⇑⪆-1","layer":3},{"info":"⇑⪆-10343434≃⇑⪆-1=⇑⪆-242","layer":2},{"info":"⇑⪆12220⇤⇑⪆-242=⇑⪆-21332","layer":1},{"info":"⇑⪆0⪝⇑⪆-21332=⇑⪆-200032","layer":0}]}
{"id":319,"expression_no_base_symbol":"(⫛⫱⨽($7913$↓⨍⋜))⊮⊟↴(⊵⊁($5497$⨥⫆$4460$))⊧↖","expression":"(⫛⫱⨽(⇑⪆223123↓⨍⋜))⊮⊟↴(⊵⊁(⇑⪆133442⨥⫆⇑⪆120320))⊧↖","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1817,"operation_count":6,"complexity_ratio":302.8333333333333,"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":7913,"base":5}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":5497,"base":5},"right_expr":{"type":"numeric_atoms","value":4460,"base":5}}}}},"used_operators":["EKiFHuOFxO","QDVgd2eftb","DlLNRPXxWL","3DVzLFNsE9","AvED76WdY7","yXekIHxTD4"],"dependent_operators":["5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rGHVDoGpnC","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","uBihLCJcMX","k8jYdgA6NY","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"⇑⪆-42442","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7913","layer":4},{"info":"compute unary expreesion, input=7913, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute unary expreesion, input=6590, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=5497","layer":4},{"info":"number node, value=4460","layer":4},{"info":"compute binary expreesion, left_input=5497, right_input=4460, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=8796","layer":3},{"info":"compute unary expreesion, input=8796, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=51706","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=51706, 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 = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=-2872","layer":0}],"base":5,"result_base":5,"text":"(⫛⫱⨽(⇑⪆223123↓⨍⋜))⊮⊟↴(⊵⊁(⇑⪆133442⨥⫆⇑⪆120320))⊧↖=⇑⪆-42442","reverse_text":"⇑⪆-42442=(⫛⫱⨽(⇑⪆223123↓⨍⋜))⊮⊟↴(⊵⊁(⇑⪆133442⨥⫆⇑⪆120320))⊧↖","cot":[{"info":"⇑⪆223123↓⨍⋜=⇑⪆202330","layer":3},{"info":"⫛⫱⨽⇑⪆202330=⇑⪆0","layer":2},{"info":"⇑⪆133442⨥⫆⇑⪆120320=⇑⪆240141","layer":3},{"info":"⊵⊁⇑⪆240141=⇑⪆3123311","layer":2},{"info":"⇑⪆0⊮⊟↴⇑⪆3123311=⇑⪆0","layer":1},{"info":"⇑⪆0⊧↖=⇑⪆-42442","layer":0}]}
{"id":320,"expression_no_base_symbol":"(($4167$⊝)⩦($1104$≒∊$4367$)⫳≱↱(⊁⨺(⇺⋃$2722$)))⨭⪣(($2200$⊉≛↸$5049$)⋳⪒$6215$≳⇉$1566$)≀⫉$6337$⨽∌$2110$⫣⪄⊒$1334$⊕∕$3831$","expression":"((⇑⪆113132⊝)⩦(⇑⪆13404≒∊⇑⪆114432)⫳≱↱(⊁⨺(⇺⋃⇑⪆41342)))⨭⪣((⇑⪆32300⊉≛↸⇑⪆130144)⋳⪒⇑⪆144330≳⇉⇑⪆22231)≀⫉⇑⪆200322⨽∌⇑⪆31420⫣⪄⊒⇑⪆20314⊕∕⇑⪆110311","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":24481412,"operation_count":14,"complexity_ratio":1748672.2857142857,"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":4167,"base":5}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1104,"base":5},"right_expr":{"type":"numeric_atoms","value":4367,"base":5}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":2722,"base":5}}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2200,"base":5},"right_expr":{"type":"numeric_atoms","value":5049,"base":5}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":6215,"base":5},"right_expr":{"type":"numeric_atoms","value":1566,"base":5}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":6337,"base":5},"right_expr":{"type":"numeric_atoms","value":2110,"base":5}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1334,"base":5},"right_expr":{"type":"numeric_atoms","value":3831,"base":5}}}}},"used_operators":["kn8WO9XteQ","ZvLB05nZmT","0kmYd0q39Y","O6EZ0fifGK","5KTvxBwnZo","PxiHyQbrIp","E5v5B3UAjG","oZj3VtZNQx","12rbrZMWeM","DZ8iAZOCBD","V0kx6qeWkN","RabNbG55vr","9samAPKr6k","9cloC0Ngie"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"⇑⪆-41","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4167","layer":4},{"info":"compute unary expreesion, input=4167, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=4167","layer":3},{"info":"number node, value=1104","layer":4},{"info":"number node, value=4367","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=4367, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-620","layer":3},{"info":"compute binary expreesion, left_input=4167, right_input=-620, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=8334","layer":2},{"info":"number node, value=2722","layer":4},{"info":"compute unary expreesion, input=2722, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=8334, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=2200","layer":4},{"info":"number node, value=5049","layer":4},{"info":"compute binary expreesion, left_input=2200, right_input=5049, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4400","layer":3},{"info":"number node, value=6215","layer":4},{"info":"number node, value=1566","layer":4},{"info":"compute binary expreesion, left_input=6215, right_input=1566, 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=4400, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=6337","layer":4},{"info":"number node, value=2110","layer":4},{"info":"compute binary expreesion, left_input=6337, right_input=2110, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1334","layer":4},{"info":"number node, value=3831","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=3831, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1334","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1334, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-8516","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8516, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-204, 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":5,"result_base":5,"text":"((⇑⪆113132⊝)⩦(⇑⪆13404≒∊⇑⪆114432)⫳≱↱(⊁⨺(⇺⋃⇑⪆41342)))⨭⪣((⇑⪆32300⊉≛↸⇑⪆130144)⋳⪒⇑⪆144330≳⇉⇑⪆22231)≀⫉⇑⪆200322⨽∌⇑⪆31420⫣⪄⊒⇑⪆20314⊕∕⇑⪆110311=⇑⪆-41","reverse_text":"⇑⪆-41=((⇑⪆113132⊝)⩦(⇑⪆13404≒∊⇑⪆114432)⫳≱↱(⊁⨺(⇺⋃⇑⪆41342)))⨭⪣((⇑⪆32300⊉≛↸⇑⪆130144)⋳⪒⇑⪆144330≳⇉⇑⪆22231)≀⫉⇑⪆200322⨽∌⇑⪆31420⫣⪄⊒⇑⪆20314⊕∕⇑⪆110311","cot":[{"info":"⇑⪆113132⊝=⇑⪆113132","layer":3},{"info":"⇑⪆13404≒∊⇑⪆114432=⇑⪆-4440","layer":3},{"info":"⇑⪆113132⩦⇑⪆-4440=⇑⪆231314","layer":2},{"info":"⇺⋃⇑⪆41342=NaN","layer":3},{"info":"⊁⨺NaN=NaN","layer":2},{"info":"⇑⪆231314⫳≱↱NaN=⇑⪆-1304","layer":1},{"info":"⇑⪆32300⊉≛↸⇑⪆130144=⇑⪆120100","layer":3},{"info":"⇑⪆144330≳⇉⇑⪆22231=NaN","layer":3},{"info":"⇑⪆120100⋳⪒NaN=NaN","layer":2},{"info":"⇑⪆200322⨽∌⇑⪆31420=⇑⪆0","layer":3},{"info":"⇑⪆20314⊕∕⇑⪆110311=⇑⪆20314","layer":3},{"info":"⇑⪆0⫣⪄⊒⇑⪆20314=⇑⪆-233031","layer":2},{"info":"NaN≀⫉⇑⪆-233031=NaN","layer":1},{"info":"⇑⪆-1304⨭⪣NaN=⇑⪆-41","layer":0}]}
{"id":321,"expression_no_base_symbol":"(($4399$↺$2852$⪨≂$1411$⪢$3208$)⊍)⇍⊗(≸≮($1308$⨸⪁$2721$))⪪((⨙⪌$1936$)⇴∐$2459$⫣⪄⊒$3180$)","expression":"((⇑⪆120044↺⇑⪆42402⪨≂⇑⪆21121⪢⇑⪆100313)⊍)⇍⊗(≸≮(⇑⪆20213⨸⪁⇑⪆41341))⪪((⨙⪌⇑⪆30221)⇴∐⇑⪆34314⫣⪄⊒⇑⪆100210)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16155,"operation_count":11,"complexity_ratio":1468.6363636363637,"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":4399,"base":5},"right_expr":{"type":"numeric_atoms","value":2852,"base":5}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1411,"base":5},"right_expr":{"type":"numeric_atoms","value":3208,"base":5}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1308,"base":5},"right_expr":{"type":"numeric_atoms","value":2721,"base":5}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1936,"base":5}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2459,"base":5},"right_expr":{"type":"numeric_atoms","value":3180,"base":5}}}}},"used_operators":["5uvYHDjeKN","3nqY3DE9mg","sdazOOVcIp","7j4O788W3g","dWAJyo7jo9","xD69zh8xqp","AljMvE3RRm","g55IO6H4Gj","HnzytWxmAO","vEGLkm4Z2k","RabNbG55vr"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","FU0Cs4j7VP","JclMnS0uGI","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","W4YGzv6Whe","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4399","layer":4},{"info":"number node, value=2852","layer":4},{"info":"compute binary expreesion, left_input=4399, right_input=2852, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2852","layer":3},{"info":"number node, value=1411","layer":4},{"info":"number node, value=3208","layer":4},{"info":"compute binary expreesion, left_input=1411, right_input=3208, 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=2852, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=nan","layer":1},{"info":"number node, value=1308","layer":4},{"info":"number node, value=2721","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=2721, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8058","layer":3},{"info":"compute unary expreesion, input=8058, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"number node, value=1936","layer":4},{"info":"compute unary expreesion, input=1936, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=2459","layer":4},{"info":"number node, value=3180","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=3180, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-14674","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-14674, 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 = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆120044↺⇑⪆42402⪨≂⇑⪆21121⪢⇑⪆100313)⊍)⇍⊗(≸≮(⇑⪆20213⨸⪁⇑⪆41341))⪪((⨙⪌⇑⪆30221)⇴∐⇑⪆34314⫣⪄⊒⇑⪆100210)=NaN","reverse_text":"NaN=((⇑⪆120044↺⇑⪆42402⪨≂⇑⪆21121⪢⇑⪆100313)⊍)⇍⊗(≸≮(⇑⪆20213⨸⪁⇑⪆41341))⪪((⨙⪌⇑⪆30221)⇴∐⇑⪆34314⫣⪄⊒⇑⪆100210)","cot":[{"info":"⇑⪆120044↺⇑⪆42402=⇑⪆42402","layer":3},{"info":"⇑⪆21121⪢⇑⪆100313=NaN","layer":3},{"info":"⇑⪆42402⪨≂NaN=NaN","layer":2},{"info":"NaN⊍=NaN","layer":1},{"info":"⇑⪆20213⨸⪁⇑⪆41341=⇑⪆224213","layer":3},{"info":"≸≮⇑⪆224213=NaN","layer":2},{"info":"⨙⪌⇑⪆30221=⇑⪆11433","layer":3},{"info":"⇑⪆34314⫣⪄⊒⇑⪆100210=⇑⪆-432144","layer":3},{"info":"⇑⪆11433⇴∐⇑⪆-432144=NaN","layer":2},{"info":"NaN⪪NaN=NaN","layer":1},{"info":"NaN⇍⊗NaN=NaN","layer":0}]}
{"id":322,"expression_no_base_symbol":"(↞≼($2432$≳⇉$6437$))∌($1119$⪚$4153$⇍⊗($1094$⪮%⊝$2010$))⨎(($1240$⫚↹⊑$1770$)⪪($2143$%$3660$))≨(⨑⩽⪐$4825$)⨸($2100$∪⫐$1035$)","expression":"(↞≼(⇑⪆34212≳⇉⇑⪆201222))∌(⇑⪆13434⪚⇑⪆113103⇍⊗(⇑⪆13334⪮%⊝⇑⪆31020))⨎((⇑⪆14430⫚↹⊑⇑⪆24040)⪪(⇑⪆32033%⇑⪆104120))≨(⨑⩽⪐⇑⪆123300)⨸(⇑⪆31400∪⫐⇑⪆13120)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":56024,"operation_count":14,"complexity_ratio":4001.714285714286,"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":2432,"base":5},"right_expr":{"type":"numeric_atoms","value":6437,"base":5}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1119,"base":5},"right_expr":{"type":"numeric_atoms","value":4153,"base":5}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1094,"base":5},"right_expr":{"type":"numeric_atoms","value":2010,"base":5}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1240,"base":5},"right_expr":{"type":"numeric_atoms","value":1770,"base":5}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2143,"base":5},"right_expr":{"type":"numeric_atoms","value":3660,"base":5}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4825,"base":5}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2100,"base":5},"right_expr":{"type":"numeric_atoms","value":1035,"base":5}}}}},"used_operators":["rJVOvQCfKK","8cLx32lpNA","DE7zCoGJt9","V0kx6qeWkN","5uvYHDjeKN","HrjLwUk87U","IWmyXbctLI","0KMCeP1Jsh","xD69zh8xqp","dfKe02y8D2","k8jYdgA6NY","KmoU8R5UQR","AF7qkfDlqP","7YooWSwCyH"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","FU0Cs4j7VP","JclMnS0uGI","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rJVOvQCfKK","2DDjHMKMc0"],"result":"⇑⪆404233","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2432","layer":4},{"info":"number node, value=6437","layer":4},{"info":"compute binary expreesion, left_input=2432, right_input=6437, 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 = 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=1119","layer":4},{"info":"number node, value=4153","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=4153, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-6424","layer":3},{"info":"number node, value=1094","layer":4},{"info":"number node, value=2010","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=2010, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2504","layer":3},{"info":"compute binary expreesion, left_input=-6424, right_input=2504, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=244","layer":1},{"info":"number node, value=1240","layer":4},{"info":"number node, value=1770","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=1770, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=2143","layer":4},{"info":"number node, value=3660","layer":4},{"info":"compute binary expreesion, left_input=2143, right_input=3660, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2143","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=2143, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"number node, value=4825","layer":4},{"info":"compute unary expreesion, input=4825, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4552","layer":3},{"info":"number node, value=2100","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=2100, right_input=1035, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2100","layer":3},{"info":"compute binary expreesion, left_input=-4552, right_input=2100, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=775014","layer":2},{"info":"compute binary expreesion, left_input=-6206, right_input=775014, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=13068","layer":1},{"info":"compute binary expreesion, left_input=244, right_input=13068, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=13068","layer":0}],"base":5,"result_base":5,"text":"(↞≼(⇑⪆34212≳⇉⇑⪆201222))∌(⇑⪆13434⪚⇑⪆113103⇍⊗(⇑⪆13334⪮%⊝⇑⪆31020))⨎((⇑⪆14430⫚↹⊑⇑⪆24040)⪪(⇑⪆32033%⇑⪆104120))≨(⨑⩽⪐⇑⪆123300)⨸(⇑⪆31400∪⫐⇑⪆13120)=⇑⪆404233","reverse_text":"⇑⪆404233=(↞≼(⇑⪆34212≳⇉⇑⪆201222))∌(⇑⪆13434⪚⇑⪆113103⇍⊗(⇑⪆13334⪮%⊝⇑⪆31020))⨎((⇑⪆14430⫚↹⊑⇑⪆24040)⪪(⇑⪆32033%⇑⪆104120))≨(⨑⩽⪐⇑⪆123300)⨸(⇑⪆31400∪⫐⇑⪆13120)","cot":[{"info":"⇑⪆34212≳⇉⇑⪆201222=NaN","layer":3},{"info":"↞≼NaN=NaN","layer":2},{"info":"⇑⪆13434⪚⇑⪆113103=⇑⪆-201144","layer":3},{"info":"⇑⪆13334⪮%⊝⇑⪆31020=⇑⪆40004","layer":3},{"info":"⇑⪆-201144⇍⊗⇑⪆40004=⇑⪆-1434","layer":2},{"info":"NaN∌⇑⪆-1434=⇑⪆1434","layer":1},{"info":"⇑⪆14430⫚↹⊑⇑⪆24040=⇑⪆-3242","layer":3},{"info":"⇑⪆32033%⇑⪆104120=⇑⪆32033","layer":3},{"info":"⇑⪆-3242⪪⇑⪆32033=⇑⪆-144311","layer":2},{"info":"⨑⩽⪐⇑⪆123300=⇑⪆-121202","layer":3},{"info":"⇑⪆31400∪⫐⇑⪆13120=⇑⪆31400","layer":3},{"info":"⇑⪆-121202⨸⇑⪆31400=⇑⪆144300024","layer":2},{"info":"⇑⪆-144311≨⇑⪆144300024=⇑⪆404233","layer":1},{"info":"⇑⪆1434⨎⇑⪆404233=⇑⪆404233","layer":0}]}
{"id":323,"expression_no_base_symbol":"($5918$⫒⫫$1037$⨓($1737$⊢)⩹$5353$⪨⊡$2135$⫸⇳(⇜$1066$))⨁⊸⫻","expression":"(⇑⪆142133⫒⫫⇑⪆13122⨓(⇑⪆23422⊢)⩹⇑⪆132403⪨⊡⇑⪆32020⫸⇳(⇜⇑⪆13231))⨁⊸⫻","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2355,"operation_count":8,"complexity_ratio":294.375,"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":5918,"base":5},"right_expr":{"type":"numeric_atoms","value":1037,"base":5}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":1737,"base":5}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":5353,"base":5},"right_expr":{"type":"numeric_atoms","value":2135,"base":5}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1066,"base":5}}}}},"used_operators":["glklzrTFfD","2Wsdkap16l","3ViojmjbAp","6Ko8hGgeMq","40aOVDgCDB","gx7XJ7hdpj","kuIXHzHcAH","lFBm8KRb8F"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","NTOWxs364D","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr"],"result":"⇑⪆-4","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5918","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=5918, right_input=1037, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=1737","layer":4},{"info":"compute unary expreesion, input=1737, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-1984","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1984, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=1981","layer":2},{"info":"number node, value=5353","layer":4},{"info":"number node, value=2135","layer":4},{"info":"compute binary expreesion, left_input=5353, right_input=2135, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1066","layer":4},{"info":"compute unary expreesion, input=1066, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-8936","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8936, 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=1981, 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 unary expreesion, input=-2, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-4","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆142133⫒⫫⇑⪆13122⨓(⇑⪆23422⊢)⩹⇑⪆132403⪨⊡⇑⪆32020⫸⇳(⇜⇑⪆13231))⨁⊸⫻=⇑⪆-4","reverse_text":"⇑⪆-4=(⇑⪆142133⫒⫫⇑⪆13122⨓(⇑⪆23422⊢)⩹⇑⪆132403⪨⊡⇑⪆32020⫸⇳(⇜⇑⪆13231))⨁⊸⫻","cot":[{"info":"⇑⪆142133⫒⫫⇑⪆13122=NaN","layer":3},{"info":"⇑⪆23422⊢=⇑⪆-30414","layer":3},{"info":"NaN⨓⇑⪆-30414=⇑⪆30411","layer":2},{"info":"⇑⪆132403⪨⊡⇑⪆32020=⇑⪆0","layer":3},{"info":"⇜⇑⪆13231=⇑⪆-241221","layer":3},{"info":"⇑⪆0⫸⇳⇑⪆-241221=⇑⪆0","layer":2},{"info":"⇑⪆30411⩹⇑⪆0=⇑⪆-2","layer":1},{"info":"⇑⪆-2⨁⊸⫻=⇑⪆-4","layer":0}]}
{"id":324,"expression_no_base_symbol":"(($2200$⩹$5001$)⫁($2621$⊵↤)⫦⪉($1780$⊴$2837$)⋥⋵⩄($3569$≬⋮$3296$))⨸(⇐(⇙⪊($4369$⫦⪉$1714$)))","expression":"((⇑⪆32300⩹⇑⪆130001)⫁(⇑⪆40441⊵↤)⫦⪉(⇑⪆24110⊴⇑⪆42322)⋥⋵⩄(⇑⪆103234≬⋮⇑⪆101141))⨸(⇐(⇙⪊(⇑⪆114434⫦⪉⇑⪆23324)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7798,"operation_count":11,"complexity_ratio":708.9090909090909,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2200,"base":5},"right_expr":{"type":"numeric_atoms","value":5001,"base":5}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":2621,"base":5}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1780,"base":5},"right_expr":{"type":"numeric_atoms","value":2837,"base":5}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3569,"base":5},"right_expr":{"type":"numeric_atoms","value":3296,"base":5}}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4369,"base":5},"right_expr":{"type":"numeric_atoms","value":1714,"base":5}}}}},"used_operators":["KmoU8R5UQR","wscyQdcy20","0ajvFaJAv0","2Wsdkap16l","7IPrd9c3lf","7t3wd0Fuz7","Nsiff2A1zJ","kbkesczE7y","nmZMaaE0Q9","pB6Fcnrjim"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","dWAJyo7jo9","14qkJME0vr","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z"],"result":"⇑⪆243120","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2200","layer":4},{"info":"number node, value=5001","layer":4},{"info":"compute binary expreesion, left_input=2200, right_input=5001, 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=4999","layer":3},{"info":"number node, value=2621","layer":4},{"info":"compute unary expreesion, input=2621, 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=4999, right_input=67, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=1780","layer":4},{"info":"number node, value=2837","layer":4},{"info":"compute binary expreesion, left_input=1780, right_input=2837, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3569","layer":4},{"info":"number node, value=3296","layer":4},{"info":"compute binary expreesion, left_input=3569, right_input=3296, 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 = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4580","layer":1},{"info":"number node, value=4369","layer":4},{"info":"number node, value=1714","layer":4},{"info":"compute binary expreesion, left_input=4369, right_input=1714, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-3838","layer":3},{"info":"compute unary expreesion, input=-3838, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=4580, right_input=0, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=9160","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆32300⩹⇑⪆130001)⫁(⇑⪆40441⊵↤)⫦⪉(⇑⪆24110⊴⇑⪆42322)⋥⋵⩄(⇑⪆103234≬⋮⇑⪆101141))⨸(⇐(⇙⪊(⇑⪆114434⫦⪉⇑⪆23324)))=⇑⪆243120","reverse_text":"⇑⪆243120=((⇑⪆32300⩹⇑⪆130001)⫁(⇑⪆40441⊵↤)⫦⪉(⇑⪆24110⊴⇑⪆42322)⋥⋵⩄(⇑⪆103234≬⋮⇑⪆101141))⨸(⇐(⇙⪊(⇑⪆114434⫦⪉⇑⪆23324)))","cot":[{"info":"⇑⪆32300⩹⇑⪆130001=⇑⪆124444","layer":3},{"info":"⇑⪆40441⊵↤=⇑⪆232","layer":3},{"info":"⇑⪆124444⫁⇑⪆232=⇑⪆1120","layer":2},{"info":"⇑⪆24110⊴⇑⪆42322=NaN","layer":3},{"info":"⇑⪆103234≬⋮⇑⪆101141=⇑⪆11433","layer":3},{"info":"NaN⋥⋵⩄⇑⪆11433=NaN","layer":2},{"info":"⇑⪆1120⫦⪉NaN=⇑⪆121310","layer":1},{"info":"⇑⪆114434⫦⪉⇑⪆23324=⇑⪆-110323","layer":3},{"info":"⇙⪊⇑⪆-110323=⇑⪆0","layer":2},{"info":"⇐⇑⪆0=⇑⪆0","layer":1},{"info":"⇑⪆121310⨸⇑⪆0=⇑⪆243120","layer":0}]}
{"id":325,"expression_no_base_symbol":"(↥≼⋛(⊗$7829$⨥⫆$3813$))≨(($1004$⋆⋳)⫢⨠(⩷⨜⫀$3522$)⊉≛↸($3377$∷$1576$)∼$2287$⊋$2728$)","expression":"(↥≼⋛(⊗⇑⪆222304⨥⫆⇑⪆110223))≨((⇑⪆13004⋆⋳)⫢⨠(⩷⨜⫀⇑⪆103042)⊉≛↸(⇑⪆102002∷⇑⪆22301)∼⇑⪆33122⊋⇑⪆41403)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":91537,"operation_count":11,"complexity_ratio":8321.545454545454,"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":7829,"base":5},"right_expr":{"type":"numeric_atoms","value":3813,"base":5}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1004,"base":5}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":3522,"base":5}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3377,"base":5},"right_expr":{"type":"numeric_atoms","value":1576,"base":5}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2287,"base":5},"right_expr":{"type":"numeric_atoms","value":2728,"base":5}}}}},"used_operators":["0KMCeP1Jsh","x5lMkHmzsq","RhiyfpczSx","yXekIHxTD4","DZ8iAZOCBD","xlXykHWxX1","6MpZysEj17","CDi0ktkjQ4","DyGG3AbaNP","D3AQDKkPcf","W4tP9CfskL"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","ruOEQAzv1W","nhYeJWJD5X","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","NTOWxs364D","7j4O788W3g","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⇑⪆1434343","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7829","layer":4},{"info":"number node, value=3813","layer":4},{"info":"compute binary expreesion, left_input=7829, right_input=3813, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=7502","layer":3},{"info":"compute unary expreesion, input=7502, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-15004","layer":2},{"info":"compute unary expreesion, input=-15004, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-14971","layer":1},{"info":"number node, value=1004","layer":4},{"info":"compute unary expreesion, input=1004, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-2040","layer":3},{"info":"number node, value=3522","layer":4},{"info":"compute unary expreesion, input=3522, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-3249","layer":3},{"info":"compute binary expreesion, left_input=-2040, right_input=-3249, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=41042","layer":2},{"info":"number node, value=3377","layer":4},{"info":"number node, value=1576","layer":4},{"info":"compute binary expreesion, left_input=3377, right_input=1576, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1576","layer":3},{"info":"number node, value=2287","layer":4},{"info":"number node, value=2728","layer":4},{"info":"compute binary expreesion, left_input=2287, right_input=2728, 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=-8514360","layer":3},{"info":"compute binary expreesion, left_input=1576, right_input=-8514360, 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=41042, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=82084","layer":1},{"info":"compute binary expreesion, left_input=-14971, right_input=82084, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=30598","layer":0}],"base":5,"result_base":5,"text":"(↥≼⋛(⊗⇑⪆222304⨥⫆⇑⪆110223))≨((⇑⪆13004⋆⋳)⫢⨠(⩷⨜⫀⇑⪆103042)⊉≛↸(⇑⪆102002∷⇑⪆22301)∼⇑⪆33122⊋⇑⪆41403)=⇑⪆1434343","reverse_text":"⇑⪆1434343=(↥≼⋛(⊗⇑⪆222304⨥⫆⇑⪆110223))≨((⇑⪆13004⋆⋳)⫢⨠(⩷⨜⫀⇑⪆103042)⊉≛↸(⇑⪆102002∷⇑⪆22301)∼⇑⪆33122⊋⇑⪆41403)","cot":[{"info":"⇑⪆222304⨥⫆⇑⪆110223=⇑⪆220002","layer":3},{"info":"⊗⇑⪆220002=⇑⪆-440004","layer":2},{"info":"↥≼⋛⇑⪆-440004=⇑⪆-434341","layer":1},{"info":"⇑⪆13004⋆⋳=⇑⪆-31130","layer":3},{"info":"⩷⨜⫀⇑⪆103042=⇑⪆-100444","layer":3},{"info":"⇑⪆-31130⫢⨠⇑⪆-100444=⇑⪆2303132","layer":2},{"info":"⇑⪆102002∷⇑⪆22301=⇑⪆22301","layer":3},{"info":"⇑⪆33122⊋⇑⪆41403=⇑⪆-4134424420","layer":3},{"info":"⇑⪆22301∼⇑⪆-4134424420=NaN","layer":2},{"info":"⇑⪆2303132⊉≛↸NaN=⇑⪆10111314","layer":1},{"info":"⇑⪆-434341≨⇑⪆10111314=⇑⪆1434343","layer":0}]}
{"id":326,"expression_no_base_symbol":"(($5725$⊨$1599$)↓(⇉-⫰$3277$)⇣⩺⋵($1415$⨑⩅≇$3777$⪉⨛$1798$→⨶⪴$2642$))⨫⇇↔(($1141$⊭↱$2506$)⨫⇇↔($2577$⨭⪣$1352$))⊮⊟↴(($4483$⋭≵$2079$)↹⊜($2712$⪗))","expression":"((⇑⪆140400⊨⇑⪆22344)↓(⇉-⫰⇑⪆101102)⇣⩺⋵(⇑⪆21130⨑⩅≇⇑⪆110102⪉⨛⇑⪆24143→⨶⪴⇑⪆41032))⨫⇇↔((⇑⪆14031⊭↱⇑⪆40011)⨫⇇↔(⇑⪆40302⨭⪣⇑⪆20402))⊮⊟↴((⇑⪆120413⋭≵⇑⪆31304)↹⊜(⇑⪆41322⪗))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7375,"operation_count":15,"complexity_ratio":491.6666666666667,"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":5725,"base":5},"right_expr":{"type":"numeric_atoms","value":1599,"base":5}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":3277,"base":5}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1415,"base":5},"right_expr":{"type":"numeric_atoms","value":3777,"base":5}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1798,"base":5},"right_expr":{"type":"numeric_atoms","value":2642,"base":5}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1141,"base":5},"right_expr":{"type":"numeric_atoms","value":2506,"base":5}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2577,"base":5},"right_expr":{"type":"numeric_atoms","value":1352,"base":5}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":4483,"base":5},"right_expr":{"type":"numeric_atoms","value":2079,"base":5}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":2712,"base":5}}}}},"used_operators":["LXhwmt4mBO","F4yD0voBRQ","Af076pWI7l","vg4gO5BX6G","IGFM8TAlm9","EWw2JM7wp4","h92wMvzauj","bF6eod5Gvf","QDVgd2eftb","COABgblf1C","kn8WO9XteQ","9bazX3JMtO","jBncVCNhdl","VEQNXA0ZBg"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","eH2TOUuTDT","eewbuw0ToL","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","8w2t5hMYqp","9FxExcQeMw","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","dWAJyo7jo9"],"result":"⇑⪆-4102","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5725","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=5725, right_input=1599, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=23931","layer":3},{"info":"number node, value=3277","layer":4},{"info":"compute unary expreesion, input=3277, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=23931, right_input=20, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=78","layer":2},{"info":"number node, value=1415","layer":4},{"info":"number node, value=3777","layer":4},{"info":"compute binary expreesion, left_input=1415, right_input=3777, 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=-4245","layer":3},{"info":"number node, value=1798","layer":4},{"info":"number node, value=2642","layer":4},{"info":"compute binary expreesion, left_input=1798, right_input=2642, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-7926","layer":3},{"info":"compute binary expreesion, left_input=-4245, right_input=-7926, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=11258","layer":2},{"info":"compute binary expreesion, left_input=78, right_input=11258, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-22142","layer":1},{"info":"number node, value=1141","layer":4},{"info":"number node, value=2506","layer":4},{"info":"compute binary expreesion, left_input=1141, right_input=2506, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2735","layer":3},{"info":"number node, value=2577","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=2577, right_input=1352, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1298","layer":3},{"info":"compute binary expreesion, left_input=2735, right_input=1298, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=4483","layer":4},{"info":"number node, value=2079","layer":4},{"info":"compute binary expreesion, left_input=4483, right_input=2079, 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=2712","layer":4},{"info":"compute unary expreesion, input=2712, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, 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=-527, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-22142, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆140400⊨⇑⪆22344)↓(⇉-⫰⇑⪆101102)⇣⩺⋵(⇑⪆21130⨑⩅≇⇑⪆110102⪉⨛⇑⪆24143→⨶⪴⇑⪆41032))⨫⇇↔((⇑⪆14031⊭↱⇑⪆40011)⨫⇇↔(⇑⪆40302⨭⪣⇑⪆20402))⊮⊟↴((⇑⪆120413⋭≵⇑⪆31304)↹⊜(⇑⪆41322⪗))=⇑⪆-4102","reverse_text":"⇑⪆-4102=((⇑⪆140400⊨⇑⪆22344)↓(⇉-⫰⇑⪆101102)⇣⩺⋵(⇑⪆21130⨑⩅≇⇑⪆110102⪉⨛⇑⪆24143→⨶⪴⇑⪆41032))⨫⇇↔((⇑⪆14031⊭↱⇑⪆40011)⨫⇇↔(⇑⪆40302⨭⪣⇑⪆20402))⊮⊟↴((⇑⪆120413⋭≵⇑⪆31304)↹⊜(⇑⪆41322⪗))","cot":[{"info":"⇑⪆140400⊨⇑⪆22344=⇑⪆1231211","layer":3},{"info":"⇉-⫰⇑⪆101102=⇑⪆40","layer":3},{"info":"⇑⪆1231211↓⇑⪆40=⇑⪆303","layer":2},{"info":"⇑⪆21130⨑⩅≇⇑⪆110102=⇑⪆-113440","layer":3},{"info":"⇑⪆24143→⨶⪴⇑⪆41032=⇑⪆-223201","layer":3},{"info":"⇑⪆-113440⪉⨛⇑⪆-223201=⇑⪆330013","layer":2},{"info":"⇑⪆303⇣⩺⋵⇑⪆330013=⇑⪆-1202032","layer":1},{"info":"⇑⪆14031⊭↱⇑⪆40011=⇑⪆41420","layer":3},{"info":"⇑⪆40302⨭⪣⇑⪆20402=⇑⪆20143","layer":3},{"info":"⇑⪆41420⨫⇇↔⇑⪆20143=⇑⪆-4102","layer":2},{"info":"⇑⪆120413⋭≵⇑⪆31304=⇑⪆232","layer":3},{"info":"⇑⪆41322⪗=NaN","layer":3},{"info":"⇑⪆232↹⊜NaN=NaN","layer":2},{"info":"⇑⪆-4102⊮⊟↴NaN=NaN","layer":1},{"info":"⇑⪆-1202032⨫⇇↔NaN=⇑⪆-4102","layer":0}]}
{"id":327,"expression_no_base_symbol":"((↴⪽⋼$4478$)⪚$3629$⨿$4479$≹⇙⪍(($2963$⇟⨁⪰)⋣⋖($1439$⊜)))↯⫤","expression":"((↴⪽⋼⇑⪆120403)⪚⇑⪆104004⨿⇑⪆120404≹⇙⪍((⇑⪆43323⇟⨁⪰)⋣⋖(⇑⪆21224⊜)))↯⫤","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":281620,"operation_count":8,"complexity_ratio":35202.5,"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":4478,"base":5}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3629,"base":5},"right_expr":{"type":"numeric_atoms","value":4479,"base":5}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":2963,"base":5}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":1439,"base":5}}}}},"used_operators":["VwlE7vj6HS","AHs5Up7iyr","HrjLwUk87U","5TUYCnJO6w","abYXlopdE0","J0M6qkBnIM","BX1lVwlMe0","Eev2Q7dYIw"],"dependent_operators":["W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","dWAJyo7jo9","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4478","layer":4},{"info":"compute unary expreesion, input=4478, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=4478","layer":3},{"info":"number node, value=3629","layer":4},{"info":"number node, value=4479","layer":4},{"info":"compute binary expreesion, left_input=3629, right_input=4479, 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=4478, right_input=-319, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=9238","layer":2},{"info":"number node, value=2963","layer":4},{"info":"compute unary expreesion, input=2963, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-3137","layer":3},{"info":"number node, value=1439","layer":4},{"info":"compute unary expreesion, input=1439, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-4020","layer":3},{"info":"compute binary expreesion, left_input=-3137, right_input=-4020, 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=9238, right_input=-527, 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 = 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":5,"result_base":5,"text":"((↴⪽⋼⇑⪆120403)⪚⇑⪆104004⨿⇑⪆120404≹⇙⪍((⇑⪆43323⇟⨁⪰)⋣⋖(⇑⪆21224⊜)))↯⫤=NaN","reverse_text":"NaN=((↴⪽⋼⇑⪆120403)⪚⇑⪆104004⨿⇑⪆120404≹⇙⪍((⇑⪆43323⇟⨁⪰)⋣⋖(⇑⪆21224⊜)))↯⫤","cot":[{"info":"↴⪽⋼⇑⪆120403=⇑⪆120403","layer":3},{"info":"⇑⪆104004⨿⇑⪆120404=⇑⪆-2234","layer":3},{"info":"⇑⪆120403⪚⇑⪆-2234=⇑⪆243423","layer":2},{"info":"⇑⪆43323⇟⨁⪰=⇑⪆-100022","layer":3},{"info":"⇑⪆21224⊜=⇑⪆-112040","layer":3},{"info":"⇑⪆-100022⋣⋖⇑⪆-112040=⇑⪆-4102","layer":2},{"info":"⇑⪆243423≹⇙⪍⇑⪆-4102=NaN","layer":1},{"info":"NaN↯⫤=NaN","layer":0}]}
{"id":328,"expression_no_base_symbol":"⩷(≛($3519$⪟⇏$4331$⩱))","expression":"⩷(≛(⇑⪆103034⪟⇏⇑⪆114311⩱))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":92,"operation_count":4,"complexity_ratio":23.0,"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":3519,"base":5},"right_expr":{"type":"numeric_atoms","value":4331,"base":5}}}}},"used_operators":["1h0rLqGiFr","W7eaUhjymW","uyq1hVkAcj","GODebY97qR"],"dependent_operators":["14qkJME0vr","g55IO6H4Gj","7j4O788W3g","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"⇑⪆233441","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3519","layer":4},{"info":"number node, value=4331","layer":4},{"info":"compute binary expreesion, left_input=3519, right_input=4331, 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 = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-244","layer":2},{"info":"compute unary expreesion, input=-244, 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=-725","layer":1},{"info":"compute unary expreesion, input=-725, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=8621","layer":0}],"base":5,"result_base":5,"text":"⩷(≛(⇑⪆103034⪟⇏⇑⪆114311⩱))=⇑⪆233441","reverse_text":"⇑⪆233441=⩷(≛(⇑⪆103034⪟⇏⇑⪆114311⩱))","cot":[{"info":"⇑⪆103034⪟⇏⇑⪆114311=⇑⪆-1","layer":3},{"info":"⇑⪆-1⩱=⇑⪆-1434","layer":2},{"info":"≛⇑⪆-1434=⇑⪆-10400","layer":1},{"info":"⩷⇑⪆-10400=⇑⪆233441","layer":0}]}
{"id":329,"expression_no_base_symbol":"(↑$1018$⇡⇂$9490$)↤⩊($6054$⪛$3330$⇄($1759$≬⇓$2796$))∘$1966$⩦$3580$⪒⊣⊆(⫖→$6989$)⪒⊣⊆(⊖$6605$⋅⇍$5414$)","expression":"(↑⇑⪆13033⇡⇂⇑⪆300430)↤⩊(⇑⪆143204⪛⇑⪆101310⇄(⇑⪆24014≬⇓⇑⪆42141))∘⇑⪆30331⩦⇑⪆103310⪒⊣⊆(⫖→⇑⪆210424)⪒⊣⊆(⊖⇑⪆202410⋅⇍⇑⪆133124)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":56624,"operation_count":13,"complexity_ratio":4355.692307692308,"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":1018,"base":5},"right_expr":{"type":"numeric_atoms","value":9490,"base":5}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6054,"base":5},"right_expr":{"type":"numeric_atoms","value":3330,"base":5}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1759,"base":5},"right_expr":{"type":"numeric_atoms","value":2796,"base":5}}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1966,"base":5},"right_expr":{"type":"numeric_atoms","value":3580,"base":5}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":6989,"base":5}}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":6605,"base":5},"right_expr":{"type":"numeric_atoms","value":5414,"base":5}}}}},"used_operators":["Z5m6OM72h2","13rbtpv6ld","tR7O2zTn5j","UMwdvZNt44","3EYGwJThht","uFcxV4UQCh","jWTQ2TZYIH","eRqsBgTDFp","0kmYd0q39Y","U4ylXWHChL","U6pG0PXrV3","AdZkA7nFnk"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","sdazOOVcIp","W4YGzv6Whe","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1018","layer":4},{"info":"number node, value=9490","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=9490, 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 = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":2},{"info":"number node, value=6054","layer":4},{"info":"number node, value=3330","layer":4},{"info":"compute binary expreesion, left_input=6054, right_input=3330, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2724","layer":3},{"info":"number node, value=1759","layer":4},{"info":"number node, value=2796","layer":4},{"info":"compute binary expreesion, left_input=1759, right_input=2796, 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=2724, right_input=-22, 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 = 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=1966","layer":4},{"info":"number node, value=3580","layer":4},{"info":"compute binary expreesion, left_input=1966, right_input=3580, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3932","layer":3},{"info":"number node, value=6989","layer":4},{"info":"compute unary expreesion, input=6989, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=3932, right_input=177, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=7864","layer":2},{"info":"number node, value=6605","layer":4},{"info":"number node, value=5414","layer":4},{"info":"compute binary expreesion, left_input=6605, right_input=5414, 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 = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=66","layer":2},{"info":"compute binary expreesion, left_input=7864, right_input=66, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=15728","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=15728, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(↑⇑⪆13033⇡⇂⇑⪆300430)↤⩊(⇑⪆143204⪛⇑⪆101310⇄(⇑⪆24014≬⇓⇑⪆42141))∘⇑⪆30331⩦⇑⪆103310⪒⊣⊆(⫖→⇑⪆210424)⪒⊣⊆(⊖⇑⪆202410⋅⇍⇑⪆133124)=NaN","reverse_text":"NaN=(↑⇑⪆13033⇡⇂⇑⪆300430)↤⩊(⇑⪆143204⪛⇑⪆101310⇄(⇑⪆24014≬⇓⇑⪆42141))∘⇑⪆30331⩦⇑⪆103310⪒⊣⊆(⫖→⇑⪆210424)⪒⊣⊆(⊖⇑⪆202410⋅⇍⇑⪆133124)","cot":[{"info":"⇑⪆13033⇡⇂⇑⪆300430=NaN","layer":3},{"info":"↑NaN=NaN","layer":2},{"info":"⇑⪆143204⪛⇑⪆101310=⇑⪆41344","layer":3},{"info":"⇑⪆24014≬⇓⇑⪆42141=⇑⪆-42","layer":3},{"info":"⇑⪆41344⇄⇑⪆-42=⇑⪆0","layer":2},{"info":"NaN↤⩊⇑⪆0=NaN","layer":1},{"info":"⇑⪆30331⩦⇑⪆103310=⇑⪆111212","layer":3},{"info":"⫖→⇑⪆210424=⇑⪆1202","layer":3},{"info":"⇑⪆111212⪒⊣⊆⇑⪆1202=⇑⪆222424","layer":2},{"info":"⇑⪆202410⋅⇍⇑⪆133124=⇑⪆-42","layer":3},{"info":"⊖⇑⪆-42=⇑⪆231","layer":2},{"info":"⇑⪆222424⪒⊣⊆⇑⪆231=⇑⪆1000403","layer":1},{"info":"NaN∘⇑⪆1000403=NaN","layer":0}]}
{"id":330,"expression_no_base_symbol":"(≛(↑$1464$)⩧⪆(≀↧⇸$1637$))≌(($8941$∓⋝$1580$⪮%⊝($5692$⨭⪣$1170$))∛($1470$⫣⪄⊒$1253$∙∹∝(∜⨇$6303$)))","expression":"(≛(↑⇑⪆21324)⩧⪆(≀↧⇸⇑⪆23022))≌((⇑⪆241231∓⋝⇑⪆22310⪮%⊝(⇑⪆140232⨭⪣⇑⪆14140))∛(⇑⪆21340⫣⪄⊒⇑⪆20003∙∹∝(∜⨇⇑⪆200203)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5386,"operation_count":12,"complexity_ratio":448.8333333333333,"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":1464,"base":5}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1637,"base":5}}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":8941,"base":5},"right_expr":{"type":"numeric_atoms","value":1580,"base":5}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":5692,"base":5},"right_expr":{"type":"numeric_atoms","value":1170,"base":5}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1470,"base":5},"right_expr":{"type":"numeric_atoms","value":1253,"base":5}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":6303,"base":5}}}}},"used_operators":["lyWz822IDG","W7eaUhjymW","Ikt5ks8PT7","tR7O2zTn5j","ljTHtUsqzn","w2537kitQq","IWmyXbctLI","PoHhknlbAi","kn8WO9XteQ","HmxsFra2vL","RabNbG55vr","uFPyJr306J"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","eewbuw0ToL","t8gj7n24qd","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","XPYlsWDdGa","23Mk6UjR3U","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ"],"result":"⇑⪆244420","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1464","layer":4},{"info":"compute unary expreesion, input=1464, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=1637","layer":4},{"info":"compute unary expreesion, input=1637, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=3274","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=3274, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3274","layer":2},{"info":"compute unary expreesion, input=-3274, 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=-6785","layer":1},{"info":"number node, value=8941","layer":4},{"info":"number node, value=1580","layer":4},{"info":"compute binary expreesion, left_input=8941, right_input=1580, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=5692","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=5692, right_input=1170, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=4413","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=4413, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=450","layer":2},{"info":"number node, value=1470","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=1253, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5090","layer":3},{"info":"number node, value=6303","layer":4},{"info":"compute unary expreesion, input=6303, 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=-5090, 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=450, right_input=0, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-6785, right_input=67, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9360","layer":0}],"base":5,"result_base":5,"text":"(≛(↑⇑⪆21324)⩧⪆(≀↧⇸⇑⪆23022))≌((⇑⪆241231∓⋝⇑⪆22310⪮%⊝(⇑⪆140232⨭⪣⇑⪆14140))∛(⇑⪆21340⫣⪄⊒⇑⪆20003∙∹∝(∜⨇⇑⪆200203)))=⇑⪆244420","reverse_text":"⇑⪆244420=(≛(↑⇑⪆21324)⩧⪆(≀↧⇸⇑⪆23022))≌((⇑⪆241231∓⋝⇑⪆22310⪮%⊝(⇑⪆140232⨭⪣⇑⪆14140))∛(⇑⪆21340⫣⪄⊒⇑⪆20003∙∹∝(∜⨇⇑⪆200203)))","cot":[{"info":"↑⇑⪆21324=⇑⪆1232","layer":3},{"info":"≀↧⇸⇑⪆23022=⇑⪆101044","layer":3},{"info":"⇑⪆1232⩧⪆⇑⪆101044=⇑⪆-101044","layer":2},{"info":"≛⇑⪆-101044=⇑⪆-204120","layer":1},{"info":"⇑⪆241231∓⋝⇑⪆22310=⇑⪆232","layer":3},{"info":"⇑⪆140232⨭⪣⇑⪆14140=⇑⪆120123","layer":3},{"info":"⇑⪆232⪮%⊝⇑⪆120123=⇑⪆3300","layer":2},{"info":"⇑⪆21340⫣⪄⊒⇑⪆20003=⇑⪆-130330","layer":3},{"info":"∜⨇⇑⪆200203=NaN","layer":3},{"info":"⇑⪆-130330∙∹∝NaN=⇑⪆0","layer":2},{"info":"⇑⪆3300∛⇑⪆0=⇑⪆232","layer":1},{"info":"⇑⪆-204120≌⇑⪆232=⇑⪆244420","layer":0}]}
{"id":331,"expression_no_base_symbol":"⪭⩑⪱($3810$≨$4960$⨻⩈⩔($3538$⊵↤)∠↢(⩎⋉$7398$)⋣⋖($3243$⩵∡$2968$))","expression":"⪭⩑⪱(⇑⪆110220≨⇑⪆124320⨻⩈⩔(⇑⪆103123⊵↤)∠↢(⩎⋉⇑⪆214043)⋣⋖(⇑⪆100433⩵∡⇑⪆43333))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":67870,"operation_count":8,"complexity_ratio":8483.75,"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":3810,"base":5},"right_expr":{"type":"numeric_atoms","value":4960,"base":5}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":3538,"base":5}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":7398,"base":5}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3243,"base":5},"right_expr":{"type":"numeric_atoms","value":2968,"base":5}}}}},"used_operators":["SIgE0bArFf","KbjG8mgYpV","nEsXyWgiOK","0KMCeP1Jsh","7IPrd9c3lf","J0M6qkBnIM","FlXk3pOYe8","Y7wcNGrDQJ"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"⇑⪆4112231002","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3810","layer":4},{"info":"number node, value=4960","layer":4},{"info":"compute binary expreesion, left_input=3810, right_input=4960, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-35624","layer":3},{"info":"number node, value=3538","layer":4},{"info":"compute unary expreesion, input=3538, 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=-35624, right_input=67, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"number node, value=7398","layer":4},{"info":"compute unary expreesion, input=7398, 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=3243","layer":4},{"info":"number node, value=2968","layer":4},{"info":"compute binary expreesion, left_input=3243, right_input=2968, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-3639","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-3639, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1650","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=1650, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-21322","layer":1},{"info":"compute unary expreesion, input=-21322, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":5,"result_base":5,"text":"⪭⩑⪱(⇑⪆110220≨⇑⪆124320⨻⩈⩔(⇑⪆103123⊵↤)∠↢(⩎⋉⇑⪆214043)⋣⋖(⇑⪆100433⩵∡⇑⪆43333))=⇑⪆4112231002","reverse_text":"⇑⪆4112231002=⪭⩑⪱(⇑⪆110220≨⇑⪆124320⨻⩈⩔(⇑⪆103123⊵↤)∠↢(⩎⋉⇑⪆214043)⋣⋖(⇑⪆100433⩵∡⇑⪆43333))","cot":[{"info":"⇑⪆110220≨⇑⪆124320=⇑⪆-2114444","layer":3},{"info":"⇑⪆103123⊵↤=⇑⪆232","layer":3},{"info":"⇑⪆-2114444⨻⩈⩔⇑⪆232=⇑⪆-1144","layer":2},{"info":"⩎⋉⇑⪆214043=⇑⪆23100","layer":3},{"info":"⇑⪆100433⩵∡⇑⪆43333=⇑⪆-104024","layer":3},{"info":"⇑⪆23100⋣⋖⇑⪆-104024=⇑⪆23100","layer":2},{"info":"⇑⪆-1144∠↢⇑⪆23100=⇑⪆-1140242","layer":1},{"info":"⪭⩑⪱⇑⪆-1140242=⇑⪆4112231002","layer":0}]}
{"id":332,"expression_no_base_symbol":"(≪$1147$)↞⋁($5209$⫲≸⪮$3149$)⇻⋧≁(($1243$-$1082$)⩘($2244$↺$1950$))⇼⇔∾($2816$∌$6840$)⊕∕($1237$⊠≄⫣)⪄(⩩($4077$⊝⪿⪼$2794$))","expression":"(≪⇑⪆14042)↞⋁(⇑⪆131314⫲≸⪮⇑⪆100044)⇻⋧≁((⇑⪆14433-⇑⪆13312)⩘(⇑⪆32434↺⇑⪆30300))⇼⇔∾(⇑⪆42231∌⇑⪆204330)⊕∕(⇑⪆14422⊠≄⫣)⪄(⩩(⇑⪆112302⊝⪿⪼⇑⪆42134))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":64016,"operation_count":14,"complexity_ratio":4572.571428571428,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1147,"base":5}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":5209,"base":5},"right_expr":{"type":"numeric_atoms","value":3149,"base":5}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1243,"base":5},"right_expr":{"type":"numeric_atoms","value":1082,"base":5}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2244,"base":5},"right_expr":{"type":"numeric_atoms","value":1950,"base":5}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2816,"base":5},"right_expr":{"type":"numeric_atoms","value":6840,"base":5}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1237,"base":5}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":4077,"base":5},"right_expr":{"type":"numeric_atoms","value":2794,"base":5}}}}},"used_operators":["tifHPKVTfV","jCPkEVoL5K","RqrPlJkxDo","Qtd6bqUJcN","P3lXMJvFrc","cHh1gJQ2o6","rysDP5nf3Z","7j4O788W3g","SUmda5xLS4","9cloC0Ngie","8cLx32lpNA","DIvbN7qnHd","kMhfGuqI2H","3Oe9XWJUTD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1147","layer":4},{"info":"compute unary expreesion, input=1147, 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=5209","layer":4},{"info":"number node, value=3149","layer":4},{"info":"compute binary expreesion, left_input=5209, right_input=3149, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5209","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=5209, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"number node, value=1243","layer":4},{"info":"number node, value=1082","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=1082, op_id = rysDP5nf3Z binary_op_definition= 'None', output=161","layer":3},{"info":"number node, value=2244","layer":4},{"info":"number node, value=1950","layer":4},{"info":"compute binary expreesion, left_input=2244, right_input=1950, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1950","layer":3},{"info":"compute binary expreesion, left_input=161, right_input=1950, 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 = 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=2816","layer":4},{"info":"number node, value=6840","layer":4},{"info":"compute binary expreesion, left_input=2816, right_input=6840, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-6840","layer":3},{"info":"number node, value=1237","layer":4},{"info":"compute unary expreesion, input=1237, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6840, right_input=0, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-6840","layer":2},{"info":"number node, value=4077","layer":4},{"info":"number node, value=2794","layer":4},{"info":"compute binary expreesion, left_input=4077, right_input=2794, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=57257","layer":3},{"info":"compute unary expreesion, input=57257, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6840, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(≪⇑⪆14042)↞⋁(⇑⪆131314⫲≸⪮⇑⪆100044)⇻⋧≁((⇑⪆14433-⇑⪆13312)⩘(⇑⪆32434↺⇑⪆30300))⇼⇔∾(⇑⪆42231∌⇑⪆204330)⊕∕(⇑⪆14422⊠≄⫣)⪄(⩩(⇑⪆112302⊝⪿⪼⇑⪆42134))=NaN","reverse_text":"NaN=(≪⇑⪆14042)↞⋁(⇑⪆131314⫲≸⪮⇑⪆100044)⇻⋧≁((⇑⪆14433-⇑⪆13312)⩘(⇑⪆32434↺⇑⪆30300))⇼⇔∾(⇑⪆42231∌⇑⪆204330)⊕∕(⇑⪆14422⊠≄⫣)⪄(⩩(⇑⪆112302⊝⪿⪼⇑⪆42134))","cot":[{"info":"≪⇑⪆14042=⇑⪆12123","layer":3},{"info":"⇑⪆131314⫲≸⪮⇑⪆100044=⇑⪆131314","layer":3},{"info":"⇑⪆12123↞⋁⇑⪆131314=NaN","layer":2},{"info":"⇑⪆14433-⇑⪆13312=⇑⪆1121","layer":3},{"info":"⇑⪆32434↺⇑⪆30300=⇑⪆30300","layer":3},{"info":"⇑⪆1121⩘⇑⪆30300=⇑⪆1120","layer":2},{"info":"NaN⇻⋧≁⇑⪆1120=NaN","layer":1},{"info":"⇑⪆42231∌⇑⪆204330=⇑⪆-204330","layer":3},{"info":"⇑⪆14422⊠≄⫣=⇑⪆0","layer":3},{"info":"⇑⪆-204330⊕∕⇑⪆0=⇑⪆-204330","layer":2},{"info":"⇑⪆112302⊝⪿⪼⇑⪆42134=⇑⪆3313012","layer":3},{"info":"⩩⇑⪆3313012=NaN","layer":2},{"info":"⇑⪆-204330⪄NaN=⇑⪆111404","layer":1},{"info":"NaN⇼⇔∾⇑⪆111404=NaN","layer":0}]}
{"id":333,"expression_no_base_symbol":"(⇋⊎⋝($1801$⫘$2109$⊾⪯⋞$1612$≃$4356$))⪨⊡((∤↝$5625$)≁($2346$⨑≵⋬$2389$)⊹∫⫚$1315$⪛$2540$⪘⫢(⫯$1620$))","expression":"(⇋⊎⋝(⇑⪆24201⫘⇑⪆31414⊾⪯⋞⇑⪆22422≃⇑⪆114411))⪨⊡((∤↝⇑⪆140000)≁(⇑⪆33341⨑≵⋬⇑⪆34024)⊹∫⫚⇑⪆20230⪛⇑⪆40130⪘⫢(⫯⇑⪆22440))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3109,"operation_count":12,"complexity_ratio":259.0833333333333,"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":1801,"base":5},"right_expr":{"type":"numeric_atoms","value":2109,"base":5}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1612,"base":5},"right_expr":{"type":"numeric_atoms","value":4356,"base":5}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":5625,"base":5}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2346,"base":5},"right_expr":{"type":"numeric_atoms","value":2389,"base":5}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1315,"base":5},"right_expr":{"type":"numeric_atoms","value":2540,"base":5}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1620,"base":5}}}}},"used_operators":["kuIXHzHcAH","CzM2PEoXns","HK0tfVPux8","48vC8HMD2b","YbVcJGFEVW","uWAJUKEvyW","8N2wDY1A35","3UMq87Qwqg","XnXgA4xnOs","oacrs7FA3X","uFcxV4UQCh","H6BK1Evt7c"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","dWAJyo7jo9","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe"],"result":"⇑⪆11210","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1801","layer":4},{"info":"number node, value=2109","layer":4},{"info":"compute binary expreesion, left_input=1801, right_input=2109, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2122381","layer":3},{"info":"number node, value=1612","layer":4},{"info":"number node, value=4356","layer":4},{"info":"compute binary expreesion, left_input=1612, right_input=4356, 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=-6488","layer":3},{"info":"compute binary expreesion, left_input=2122381, right_input=-6488, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"compute unary expreesion, input=-820, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=5625","layer":4},{"info":"compute unary expreesion, input=5625, 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=5625","layer":3},{"info":"number node, value=2346","layer":4},{"info":"number node, value=2389","layer":4},{"info":"compute binary expreesion, left_input=2346, right_input=2389, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-3614","layer":3},{"info":"compute binary expreesion, left_input=5625, right_input=-3614, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-111681","layer":2},{"info":"number node, value=1315","layer":4},{"info":"number node, value=2540","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=2540, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1315","layer":3},{"info":"number node, value=1620","layer":4},{"info":"compute unary expreesion, input=1620, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-53252","layer":3},{"info":"compute binary expreesion, left_input=1315, right_input=-53252, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-111681, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=805","layer":0}],"base":5,"result_base":5,"text":"(⇋⊎⋝(⇑⪆24201⫘⇑⪆31414⊾⪯⋞⇑⪆22422≃⇑⪆114411))⪨⊡((∤↝⇑⪆140000)≁(⇑⪆33341⨑≵⋬⇑⪆34024)⊹∫⫚⇑⪆20230⪛⇑⪆40130⪘⫢(⫯⇑⪆22440))=⇑⪆11210","reverse_text":"⇑⪆11210=(⇋⊎⋝(⇑⪆24201⫘⇑⪆31414⊾⪯⋞⇑⪆22422≃⇑⪆114411))⪨⊡((∤↝⇑⪆140000)≁(⇑⪆33341⨑≵⋬⇑⪆34024)⊹∫⫚⇑⪆20230⪛⇑⪆40130⪘⫢(⫯⇑⪆22440))","cot":[{"info":"⇑⪆24201⫘⇑⪆31414=⇑⪆1020404011","layer":3},{"info":"⇑⪆22422≃⇑⪆114411=⇑⪆-201423","layer":3},{"info":"⇑⪆1020404011⊾⪯⋞⇑⪆-201423=⇑⪆-11240","layer":2},{"info":"⇋⊎⋝⇑⪆-11240=NaN","layer":1},{"info":"∤↝⇑⪆140000=⇑⪆140000","layer":3},{"info":"⇑⪆33341⨑≵⋬⇑⪆34024=⇑⪆-103424","layer":3},{"info":"⇑⪆140000≁⇑⪆-103424=⇑⪆-12033211","layer":2},{"info":"⇑⪆20230⪛⇑⪆40130=⇑⪆20230","layer":3},{"info":"⫯⇑⪆22440=⇑⪆-3201002","layer":3},{"info":"⇑⪆20230⪘⫢⇑⪆-3201002=⇑⪆-1","layer":2},{"info":"⇑⪆-12033211⊹∫⫚⇑⪆-1=⇑⪆-4","layer":1},{"info":"NaN⪨⊡⇑⪆-4=⇑⪆11210","layer":0}]}
{"id":334,"expression_no_base_symbol":"(($4149$⩎⪣⊞)⊬⨰($6142$⨕⋳)⨴∎)∳⫺($1936$⫁⪎$1852$⋓(∮$4278$)∕⩚(⊈($6196$⊠≄⫣)))","expression":"((⇑⪆113044⩎⪣⊞)⊬⨰(⇑⪆144032⨕⋳)⨴∎)∳⫺(⇑⪆30221⫁⪎⇑⪆24402⋓(∮⇑⪆114103)∕⩚(⊈(⇑⪆144241⊠≄⫣)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":58644,"operation_count":11,"complexity_ratio":5331.272727272727,"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":4149,"base":5}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":6142,"base":5}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1936,"base":5},"right_expr":{"type":"numeric_atoms","value":1852,"base":5}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":4278,"base":5}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":6196,"base":5}}}}},"used_operators":["AzXXKTstlj","CpSg5vQTgA","s3Fd5m9Dh2","waWucp1uQ4","4X4GscPmMf","z9ffQ9n5Zr","T2fj7uvVaJ","xRrnTEsQ6j","CqXKPLVYql","RHru8klgy8","DIvbN7qnHd"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","mp7IySMOzn","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","12rbrZMWeM","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd"],"result":"⇑⪆-2020","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4149","layer":4},{"info":"compute unary expreesion, input=4149, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=8298","layer":3},{"info":"number node, value=6142","layer":4},{"info":"compute unary expreesion, input=6142, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=460124","layer":3},{"info":"compute binary expreesion, left_input=8298, right_input=460124, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=1847738","layer":2},{"info":"compute unary expreesion, input=1847738, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":1},{"info":"number node, value=1936","layer":4},{"info":"number node, value=1852","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=1852, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=84","layer":3},{"info":"number node, value=4278","layer":4},{"info":"compute unary expreesion, input=4278, 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=84, 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":2},{"info":"number node, value=6196","layer":4},{"info":"compute unary expreesion, input=6196, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-174, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-487, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆113044⩎⪣⊞)⊬⨰(⇑⪆144032⨕⋳)⨴∎)∳⫺(⇑⪆30221⫁⪎⇑⪆24402⋓(∮⇑⪆114103)∕⩚(⊈(⇑⪆144241⊠≄⫣)))=⇑⪆-2020","reverse_text":"⇑⪆-2020=((⇑⪆113044⩎⪣⊞)⊬⨰(⇑⪆144032⨕⋳)⨴∎)∳⫺(⇑⪆30221⫁⪎⇑⪆24402⋓(∮⇑⪆114103)∕⩚(⊈(⇑⪆144241⊠≄⫣)))","cot":[{"info":"⇑⪆113044⩎⪣⊞=⇑⪆231143","layer":3},{"info":"⇑⪆144032⨕⋳=⇑⪆104210444","layer":3},{"info":"⇑⪆231143⊬⨰⇑⪆104210444=⇑⪆433111423","layer":2},{"info":"⇑⪆433111423⨴∎=NaN","layer":1},{"info":"⇑⪆30221⫁⪎⇑⪆24402=⇑⪆314","layer":3},{"info":"∮⇑⪆114103=⇑⪆232","layer":3},{"info":"⇑⪆314⋓⇑⪆232=⇑⪆0","layer":2},{"info":"⇑⪆144241⊠≄⫣=⇑⪆0","layer":3},{"info":"⊈⇑⪆0=⇑⪆-1144","layer":2},{"info":"⇑⪆0∕⩚⇑⪆-1144=⇑⪆-3422","layer":1},{"info":"NaN∳⫺⇑⪆-3422=⇑⪆-2020","layer":0}]}
{"id":335,"expression_no_base_symbol":"(-$8397$⩖⊿$3740$)⫳≱↱($8339$⊉↱≁$1195$⋫)⫃⨇($3841$-$3888$)⪭($1242$⩵∡$1503$)≧⫂∧$1245$⨸$6780$≚⊃≕(⊈$5379$)","expression":"(-⇑⪆232042⩖⊿⇑⪆104430)⫳≱↱(⇑⪆231324⊉↱≁⇑⪆14240⋫)⫃⨇(⇑⪆110331-⇑⪆111023)⪭(⇑⪆14432⩵∡⇑⪆22003)≧⫂∧⇑⪆14440⨸⇑⪆204110≚⊃≕(⊈⇑⪆133004)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":77937,"operation_count":13,"complexity_ratio":5995.153846153846,"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":8397,"base":5},"right_expr":{"type":"numeric_atoms","value":3740,"base":5}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":8339,"base":5},"right_expr":{"type":"numeric_atoms","value":1195,"base":5}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3841,"base":5},"right_expr":{"type":"numeric_atoms","value":3888,"base":5}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1242,"base":5},"right_expr":{"type":"numeric_atoms","value":1503,"base":5}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1245,"base":5},"right_expr":{"type":"numeric_atoms","value":6780,"base":5}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":5379,"base":5}}}}},"used_operators":["09Ly4LVMIf","ZvLB05nZmT","t8gj7n24qd","RZ5CV9rWsJ","JL8yIekQnl","w2P8NbNXyL","Ph9nP6C5qx","j9kHMeSvPp","rysDP5nf3Z","Y7wcNGrDQJ","Bmrmz2XGnR","KmoU8R5UQR","RHru8klgy8"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","tmPS8pqC7x","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","NTOWxs364D","glklzrTFfD","tifHPKVTfV","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","12rbrZMWeM","xUOZtlo3hN"],"result":"⇑⪆-123042","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8397","layer":4},{"info":"number node, value=3740","layer":4},{"info":"compute binary expreesion, left_input=8397, right_input=3740, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-3750","layer":3},{"info":"compute unary expreesion, input=-3750, op_id = t8gj7n24qd, unary_op_definition = 'None', output=3750","layer":2},{"info":"number node, value=8339","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=8339, right_input=1195, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=76168","layer":3},{"info":"compute unary expreesion, input=76168, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=76168","layer":2},{"info":"compute binary expreesion, left_input=3750, right_input=76168, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=3841","layer":4},{"info":"number node, value=3888","layer":4},{"info":"compute binary expreesion, left_input=3841, right_input=3888, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-47","layer":3},{"info":"number node, value=1242","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=1503, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1102","layer":3},{"info":"compute binary expreesion, left_input=-47, right_input=-1102, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-127","layer":2},{"info":"number node, value=1245","layer":4},{"info":"number node, value=6780","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=6780, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2490","layer":3},{"info":"number node, value=5379","layer":4},{"info":"compute unary expreesion, input=5379, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-5553","layer":3},{"info":"compute binary expreesion, left_input=2490, right_input=-5553, 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=-1312","layer":2},{"info":"compute binary expreesion, left_input=-127, right_input=-1312, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1185","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=1185, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4772","layer":0}],"base":5,"result_base":5,"text":"(-⇑⪆232042⩖⊿⇑⪆104430)⫳≱↱(⇑⪆231324⊉↱≁⇑⪆14240⋫)⫃⨇(⇑⪆110331-⇑⪆111023)⪭(⇑⪆14432⩵∡⇑⪆22003)≧⫂∧⇑⪆14440⨸⇑⪆204110≚⊃≕(⊈⇑⪆133004)=⇑⪆-123042","reverse_text":"⇑⪆-123042=(-⇑⪆232042⩖⊿⇑⪆104430)⫳≱↱(⇑⪆231324⊉↱≁⇑⪆14240⋫)⫃⨇(⇑⪆110331-⇑⪆111023)⪭(⇑⪆14432⩵∡⇑⪆22003)≧⫂∧⇑⪆14440⨸⇑⪆204110≚⊃≕(⊈⇑⪆133004)","cot":[{"info":"⇑⪆232042⩖⊿⇑⪆104430=⇑⪆-110000","layer":3},{"info":"-⇑⪆-110000=⇑⪆110000","layer":2},{"info":"⇑⪆231324⊉↱≁⇑⪆14240=⇑⪆4414133","layer":3},{"info":"⇑⪆4414133⋫=⇑⪆4414133","layer":2},{"info":"⇑⪆110000⫳≱↱⇑⪆4414133=⇑⪆-1304","layer":1},{"info":"⇑⪆110331-⇑⪆111023=⇑⪆-142","layer":3},{"info":"⇑⪆14432⩵∡⇑⪆22003=⇑⪆-13402","layer":3},{"info":"⇑⪆-142⪭⇑⪆-13402=⇑⪆-1002","layer":2},{"info":"⇑⪆14440⨸⇑⪆204110=⇑⪆34430","layer":3},{"info":"⊈⇑⪆133004=⇑⪆-134203","layer":3},{"info":"⇑⪆34430≚⊃≕⇑⪆-134203=⇑⪆-20222","layer":2},{"info":"⇑⪆-1002≧⫂∧⇑⪆-20222=⇑⪆14220","layer":1},{"info":"⇑⪆-1304⫃⨇⇑⪆14220=⇑⪆-123042","layer":0}]}
{"id":336,"expression_no_base_symbol":"((($1318$⊍⩺⋍$2298$)⊴⇁⪶)⇆⨓≜)⋛($2411$⩘$6180$⋅⇍$2625$⪟⇏$1582$∐⫣)","expression":"(((⇑⪆20233⊍⩺⋍⇑⪆33143)⊴⇁⪶)⇆⨓≜)⋛(⇑⪆34121⩘⇑⪆144210⋅⇍⇑⪆41000⪟⇏⇑⪆22312∐⫣)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":894,"operation_count":8,"complexity_ratio":111.75,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1318,"base":5},"right_expr":{"type":"numeric_atoms","value":2298,"base":5}}}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2411,"base":5},"right_expr":{"type":"numeric_atoms","value":6180,"base":5}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2625,"base":5},"right_expr":{"type":"numeric_atoms","value":1582,"base":5}}}}},"used_operators":["YbUVn0Rbpy","KvvgdUaMHJ","oo9mF6JIpo","OXDGMFPWZM","4CyGpkTkEk","AdZkA7nFnk","cHh1gJQ2o6","GODebY97qR"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Uaa54Peajs","KYD54nUTWz","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1318","layer":4},{"info":"number node, value=2298","layer":4},{"info":"compute binary expreesion, left_input=1318, right_input=2298, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"number node, value=2411","layer":4},{"info":"number node, value=6180","layer":4},{"info":"compute binary expreesion, left_input=2411, right_input=6180, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=2625","layer":4},{"info":"number node, value=1582","layer":4},{"info":"compute binary expreesion, left_input=2625, right_input=1582, 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 = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=551, 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":5,"result_base":5,"text":"(((⇑⪆20233⊍⩺⋍⇑⪆33143)⊴⇁⪶)⇆⨓≜)⋛(⇑⪆34121⩘⇑⪆144210⋅⇍⇑⪆41000⪟⇏⇑⪆22312∐⫣)=NaN","reverse_text":"NaN=(((⇑⪆20233⊍⩺⋍⇑⪆33143)⊴⇁⪶)⇆⨓≜)⋛(⇑⪆34121⩘⇑⪆144210⋅⇍⇑⪆41000⪟⇏⇑⪆22312∐⫣)","cot":[{"info":"⇑⪆20233⊍⩺⋍⇑⪆33143=NaN","layer":3},{"info":"NaN⊴⇁⪶=NaN","layer":2},{"info":"NaN⇆⨓≜=NaN","layer":1},{"info":"⇑⪆34121⩘⇑⪆144210=⇑⪆1120","layer":3},{"info":"⇑⪆41000⪟⇏⇑⪆22312=⇑⪆-1","layer":3},{"info":"⇑⪆1120⋅⇍⇑⪆-1=⇑⪆-42","layer":2},{"info":"⇑⪆-42∐⫣=⇑⪆4201","layer":1},{"info":"NaN⋛⇑⪆4201=NaN","layer":0}]}
{"id":337,"expression_no_base_symbol":"(⇙⪊$1958$≦↸$5981$)⪮%⊝(⇋↷$5658$)⋹⋡⊁($2720$⊉≛↸$8527$)≬⇓(⪛⨧($1826$+⪬∐$5388$⩨$3860$⨪↰⇹$1987$))","expression":"(⇙⪊⇑⪆30313≦↸⇑⪆142411)⪮%⊝(⇋↷⇑⪆140113)⋹⋡⊁(⇑⪆41340⊉≛↸⇑⪆233102)≬⇓(⪛⨧(⇑⪆24301+⪬∐⇑⪆133023⩨⇑⪆110420⨪↰⇹⇑⪆30422))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":66453,"operation_count":11,"complexity_ratio":6041.181818181818,"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":1958,"base":5},"right_expr":{"type":"numeric_atoms","value":5981,"base":5}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":5658,"base":5}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2720,"base":5},"right_expr":{"type":"numeric_atoms","value":8527,"base":5}}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1826,"base":5},"right_expr":{"type":"numeric_atoms","value":5388,"base":5}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3860,"base":5},"right_expr":{"type":"numeric_atoms","value":1987,"base":5}}}}},"used_operators":["jWTQ2TZYIH","IWmyXbctLI","pB6Fcnrjim","RygbFNSyEJ","As8RqfVLgs","SWo3A1KBJH","DZ8iAZOCBD","6NJAcO2OWT","2DlMacCsIx","2GS7woTJqF","tmPS8pqC7x"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","g55IO6H4Gj","D4vGDi5EA2","rJVOvQCfKK"],"result":"⇑⪆-42","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1958","layer":4},{"info":"number node, value=5981","layer":4},{"info":"compute binary expreesion, left_input=1958, right_input=5981, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-15197","layer":3},{"info":"compute unary expreesion, input=-15197, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=5658","layer":4},{"info":"compute unary expreesion, input=5658, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=45264","layer":3},{"info":"number node, value=2720","layer":4},{"info":"number node, value=8527","layer":4},{"info":"compute binary expreesion, left_input=2720, right_input=8527, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5440","layer":3},{"info":"compute binary expreesion, left_input=45264, right_input=5440, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=6190","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=6190, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":1},{"info":"number node, value=1826","layer":4},{"info":"number node, value=5388","layer":4},{"info":"compute binary expreesion, left_input=1826, right_input=5388, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-5478","layer":3},{"info":"number node, value=3860","layer":4},{"info":"number node, value=1987","layer":4},{"info":"compute binary expreesion, left_input=3860, right_input=1987, 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=3860","layer":3},{"info":"compute binary expreesion, left_input=-5478, right_input=3860, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"compute unary expreesion, input=3, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=1407","layer":1},{"info":"compute binary expreesion, left_input=316, right_input=1407, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":0}],"base":5,"result_base":5,"text":"(⇙⪊⇑⪆30313≦↸⇑⪆142411)⪮%⊝(⇋↷⇑⪆140113)⋹⋡⊁(⇑⪆41340⊉≛↸⇑⪆233102)≬⇓(⪛⨧(⇑⪆24301+⪬∐⇑⪆133023⩨⇑⪆110420⨪↰⇹⇑⪆30422))=⇑⪆-42","reverse_text":"⇑⪆-42=(⇙⪊⇑⪆30313≦↸⇑⪆142411)⪮%⊝(⇋↷⇑⪆140113)⋹⋡⊁(⇑⪆41340⊉≛↸⇑⪆233102)≬⇓(⪛⨧(⇑⪆24301+⪬∐⇑⪆133023⩨⇑⪆110420⨪↰⇹⇑⪆30422))","cot":[{"info":"⇑⪆30313≦↸⇑⪆142411=⇑⪆-441242","layer":3},{"info":"⇙⪊⇑⪆-441242=⇑⪆0","layer":2},{"info":"⇋↷⇑⪆140113=⇑⪆2422024","layer":3},{"info":"⇑⪆41340⊉≛↸⇑⪆233102=⇑⪆133230","layer":3},{"info":"⇑⪆2422024⋹⋡⊁⇑⪆133230=⇑⪆144230","layer":2},{"info":"⇑⪆0⪮%⊝⇑⪆144230=⇑⪆2231","layer":1},{"info":"⇑⪆24301+⪬∐⇑⪆133023=⇑⪆-133403","layer":3},{"info":"⇑⪆110420⨪↰⇹⇑⪆30422=⇑⪆110420","layer":3},{"info":"⇑⪆-133403⩨⇑⪆110420=⇑⪆3","layer":2},{"info":"⪛⨧⇑⪆3=⇑⪆21112","layer":1},{"info":"⇑⪆2231≬⇓⇑⪆21112=⇑⪆-42","layer":0}]}
{"id":338,"expression_no_base_symbol":"(↪⫪⫘((⨭⩧⫛$2735$)∪⫐$2432$⊴$6039$))⪐","expression":"(↪⫪⫘((⨭⩧⫛⇑⪆41420)∪⫐⇑⪆34212⊴⇑⪆143124))⪐","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6128,"operation_count":5,"complexity_ratio":1225.6,"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":2735,"base":5}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2432,"base":5},"right_expr":{"type":"numeric_atoms","value":6039,"base":5}}}}},"used_operators":["eH2TOUuTDT","9dWsAM3GFt","7YooWSwCyH","g21JL6JxX7","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","rJVOvQCfKK","2DDjHMKMc0","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=2735","layer":4},{"info":"compute unary expreesion, input=2735, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=2432","layer":4},{"info":"number node, value=6039","layer":4},{"info":"compute binary expreesion, left_input=2432, right_input=6039, 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 = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(↪⫪⫘((⨭⩧⫛⇑⪆41420)∪⫐⇑⪆34212⊴⇑⪆143124))⪐=NaN","reverse_text":"NaN=(↪⫪⫘((⨭⩧⫛⇑⪆41420)∪⫐⇑⪆34212⊴⇑⪆143124))⪐","cot":[{"info":"⨭⩧⫛⇑⪆41420=NaN","layer":3},{"info":"⇑⪆34212⊴⇑⪆143124=NaN","layer":3},{"info":"NaN∪⫐NaN=NaN","layer":2},{"info":"↪⫪⫘NaN=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":339,"expression_no_base_symbol":"(∐⩳⋚($1129$⪉⨛$1064$))∘($3603$≭$4944$⋅⇍$1547$⨓$1246$)∛(≅≯⇸$2239$⨒$4110$)⫣⪄⊒(($3887$⪢$5260$)⩍⋽⫝̸($1649$⪹))","expression":"(∐⩳⋚(⇑⪆14004⪉⨛⇑⪆13224))∘(⇑⪆103403≭⇑⪆124234⋅⇍⇑⪆22142⨓⇑⪆14441)∛(≅≯⇸⇑⪆32424⨒⇑⪆112420)⫣⪄⊒((⇑⪆111022⪢⇑⪆132020)⩍⋽⫝̸(⇑⪆23044⪹))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6843,"operation_count":13,"complexity_ratio":526.3846153846154,"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":1129,"base":5},"right_expr":{"type":"numeric_atoms","value":1064,"base":5}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3603,"base":5},"right_expr":{"type":"numeric_atoms","value":4944,"base":5}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1547,"base":5},"right_expr":{"type":"numeric_atoms","value":1246,"base":5}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2239,"base":5},"right_expr":{"type":"numeric_atoms","value":4110,"base":5}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3887,"base":5},"right_expr":{"type":"numeric_atoms","value":5260,"base":5}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1649,"base":5}}}}},"used_operators":["w2537kitQq","Z5m6OM72h2","SL6IHkK8vl","EWw2JM7wp4","AdZkA7nFnk","rxpJgHHUmx","3ViojmjbAp","RabNbG55vr","apS25hmuAe","y75s1iXyHd","BiWNJpBvwn","dWAJyo7jo9","B3sABdIn96"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eH2TOUuTDT","rysDP5nf3Z","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","EBcxylXtPf","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","9FxExcQeMw","e1ybzncUwg","QMFrweE19q"],"result":"⇑⪆232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1129","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=1064, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=2538","layer":3},{"info":"compute unary expreesion, input=2538, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=364855","layer":2},{"info":"number node, value=3603","layer":4},{"info":"number node, value=4944","layer":4},{"info":"compute binary expreesion, left_input=3603, right_input=4944, 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=1547","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=1547, right_input=1246, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1249","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1249, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=364855, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=729710","layer":1},{"info":"number node, value=2239","layer":4},{"info":"number node, value=4110","layer":4},{"info":"compute binary expreesion, left_input=2239, right_input=4110, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-13062","layer":3},{"info":"compute unary expreesion, input=-13062, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-44571","layer":2},{"info":"number node, value=3887","layer":4},{"info":"number node, value=5260","layer":4},{"info":"compute binary expreesion, left_input=3887, right_input=5260, 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=1649","layer":4},{"info":"compute unary expreesion, input=1649, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=7790","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7790, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=6844","layer":2},{"info":"compute binary expreesion, left_input=-44571, right_input=6844, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5042","layer":1},{"info":"compute binary expreesion, left_input=729710, right_input=-5042, 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":5,"result_base":5,"text":"(∐⩳⋚(⇑⪆14004⪉⨛⇑⪆13224))∘(⇑⪆103403≭⇑⪆124234⋅⇍⇑⪆22142⨓⇑⪆14441)∛(≅≯⇸⇑⪆32424⨒⇑⪆112420)⫣⪄⊒((⇑⪆111022⪢⇑⪆132020)⩍⋽⫝̸(⇑⪆23044⪹))=⇑⪆232","reverse_text":"⇑⪆232=(∐⩳⋚(⇑⪆14004⪉⨛⇑⪆13224))∘(⇑⪆103403≭⇑⪆124234⋅⇍⇑⪆22142⨓⇑⪆14441)∛(≅≯⇸⇑⪆32424⨒⇑⪆112420)⫣⪄⊒((⇑⪆111022⪢⇑⪆132020)⩍⋽⫝̸(⇑⪆23044⪹))","cot":[{"info":"⇑⪆14004⪉⨛⇑⪆13224=⇑⪆40123","layer":3},{"info":"∐⩳⋚⇑⪆40123=⇑⪆43133410","layer":2},{"info":"⇑⪆103403≭⇑⪆124234=NaN","layer":3},{"info":"⇑⪆22142⨓⇑⪆14441=⇑⪆-14444","layer":3},{"info":"NaN⋅⇍⇑⪆-14444=NaN","layer":2},{"info":"⇑⪆43133410∘NaN=⇑⪆141322320","layer":1},{"info":"⇑⪆32424⨒⇑⪆112420=⇑⪆-404222","layer":3},{"info":"≅≯⇸⇑⪆-404222=⇑⪆-2411241","layer":2},{"info":"⇑⪆111022⪢⇑⪆132020=NaN","layer":3},{"info":"⇑⪆23044⪹=⇑⪆222130","layer":3},{"info":"NaN⩍⋽⫝̸⇑⪆222130=⇑⪆204334","layer":2},{"info":"⇑⪆-2411241⫣⪄⊒⇑⪆204334=⇑⪆-130132","layer":1},{"info":"⇑⪆141322320∛⇑⪆-130132=⇑⪆232","layer":0}]}
{"id":340,"expression_no_base_symbol":"(($1044$%$3725$)⇄($3319$∽$1124$)⫲)⨐⩸⫘(($3317$⪨≂$1098$)⋳⪒($1021$⫰⋱$4230$))⩌⋺((⨈⪑$2013$)≹⇙⪍($2244$+⪬∐$2242$))","expression":"((⇑⪆13134%⇑⪆104400)⇄(⇑⪆101234∽⇑⪆13444)⫲)⨐⩸⫘((⇑⪆101232⪨≂⇑⪆13343)⋳⪒(⇑⪆13041⫰⋱⇑⪆113410))⩌⋺((⨈⪑⇑⪆31023)≹⇙⪍(⇑⪆32434+⪬∐⇑⪆32432))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":145,"operation_count":12,"complexity_ratio":12.083333333333334,"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":1044,"base":5},"right_expr":{"type":"numeric_atoms","value":3725,"base":5}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3319,"base":5},"right_expr":{"type":"numeric_atoms","value":1124,"base":5}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3317,"base":5},"right_expr":{"type":"numeric_atoms","value":1098,"base":5}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1021,"base":5},"right_expr":{"type":"numeric_atoms","value":4230,"base":5}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":2013,"base":5}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2244,"base":5},"right_expr":{"type":"numeric_atoms","value":2242,"base":5}}}}},"used_operators":["fu6greOZ01","9xnGDUPbC6","3EYGwJThht","k8jYdgA6NY","y4ImoPnbV5","g7Hmc5v1ko","12rbrZMWeM","sdazOOVcIp","6o9Blt3TJ6","AHs5Up7iyr","mp94q5OcYM","2GS7woTJqF"],"dependent_operators":["3ViojmjbAp","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","NTOWxs364D","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","dWAJyo7jo9","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","g55IO6H4Gj","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1044","layer":4},{"info":"number node, value=3725","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=3725, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1044","layer":3},{"info":"number node, value=3319","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=3319, right_input=1124, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-19789","layer":3},{"info":"compute binary expreesion, left_input=1044, right_input=-19789, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=-789","layer":1},{"info":"number node, value=3317","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=3317, right_input=1098, 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=4540","layer":3},{"info":"number node, value=1021","layer":4},{"info":"number node, value=4230","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=4230, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-988","layer":3},{"info":"compute binary expreesion, left_input=4540, right_input=-988, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=9781","layer":2},{"info":"number node, value=2013","layer":4},{"info":"compute unary expreesion, input=2013, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"number node, value=2244","layer":4},{"info":"number node, value=2242","layer":4},{"info":"compute binary expreesion, left_input=2244, right_input=2242, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-6732","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-6732, 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=9781, 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":1},{"info":"compute binary expreesion, left_input=-789, 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":5,"result_base":5,"text":"((⇑⪆13134%⇑⪆104400)⇄(⇑⪆101234∽⇑⪆13444)⫲)⨐⩸⫘((⇑⪆101232⪨≂⇑⪆13343)⋳⪒(⇑⪆13041⫰⋱⇑⪆113410))⩌⋺((⨈⪑⇑⪆31023)≹⇙⪍(⇑⪆32434+⪬∐⇑⪆32432))=NaN","reverse_text":"NaN=((⇑⪆13134%⇑⪆104400)⇄(⇑⪆101234∽⇑⪆13444)⫲)⨐⩸⫘((⇑⪆101232⪨≂⇑⪆13343)⋳⪒(⇑⪆13041⫰⋱⇑⪆113410))⩌⋺((⨈⪑⇑⪆31023)≹⇙⪍(⇑⪆32434+⪬∐⇑⪆32432))","cot":[{"info":"⇑⪆13134%⇑⪆104400=⇑⪆13134","layer":3},{"info":"⇑⪆101234∽⇑⪆13444=⇑⪆-1113124","layer":3},{"info":"⇑⪆13134⇄⇑⪆-1113124=⇑⪆0","layer":2},{"info":"⇑⪆0⫲=⇑⪆-11124","layer":1},{"info":"⇑⪆101232⪨≂⇑⪆13343=⇑⪆121130","layer":3},{"info":"⇑⪆13041⫰⋱⇑⪆113410=⇑⪆-12423","layer":3},{"info":"⇑⪆121130⋳⪒⇑⪆-12423=⇑⪆303111","layer":2},{"info":"⨈⪑⇑⪆31023=⇑⪆11433","layer":3},{"info":"⇑⪆32434+⪬∐⇑⪆32432=⇑⪆-203412","layer":3},{"info":"⇑⪆11433≹⇙⪍⇑⪆-203412=NaN","layer":2},{"info":"⇑⪆303111⩌⋺NaN=NaN","layer":1},{"info":"⇑⪆-11124⨐⩸⫘NaN=NaN","layer":0}]}
{"id":341,"expression_no_base_symbol":"((⋠∜$3384$)⪭≯($1724$⫳≱↱$5362$))⊔(($2119$⫳≱↱$2556$)⪡($3411$≫≃))⫔⩽⩺($9652$⇤$8252$⩍⋽⫝̸(⨵≀≌$4078$))⨼⩣(⋎⨆$1062$≃$2280$)","expression":"((⋠∜⇑⪆102014)⪭≯(⇑⪆23344⫳≱↱⇑⪆132422))⊔((⇑⪆31434⫳≱↱⇑⪆40211)⪡(⇑⪆102121≫≃))⫔⩽⩺(⇑⪆302102⇤⇑⪆231002⩍⋽⫝̸(⨵≀≌⇑⪆112303))⨼⩣(⋎⨆⇑⪆13222≃⇑⪆33110)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1774,"operation_count":14,"complexity_ratio":126.71428571428571,"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":3384,"base":5}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1724,"base":5},"right_expr":{"type":"numeric_atoms","value":5362,"base":5}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2119,"base":5},"right_expr":{"type":"numeric_atoms","value":2556,"base":5}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3411,"base":5}}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":9652,"base":5},"right_expr":{"type":"numeric_atoms","value":8252,"base":5}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4078,"base":5}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1062,"base":5},"right_expr":{"type":"numeric_atoms","value":2280,"base":5}}}}},"used_operators":["i9eR4S00cU","E4l6HwMY31","XAx5wpdLa6","ZJpFhNJr3x","ZvLB05nZmT","oraRL2iQuh","X99M06cbEe","JxwMv5le6e","BiWNJpBvwn","YSKBFp38Pu","srAu1WTS94","E64sFOc4tB","YbVcJGFEVW"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3384","layer":4},{"info":"compute unary expreesion, input=3384, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=15820","layer":3},{"info":"number node, value=1724","layer":4},{"info":"number node, value=5362","layer":4},{"info":"compute binary expreesion, left_input=1724, right_input=5362, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=15820, right_input=-204, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=2119","layer":4},{"info":"number node, value=2556","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=2556, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=3411","layer":4},{"info":"compute unary expreesion, input=3411, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=8223","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=8223, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=1376","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1376, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"number node, value=9652","layer":4},{"info":"number node, value=8252","layer":4},{"info":"compute binary expreesion, left_input=9652, right_input=8252, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-86672","layer":3},{"info":"number node, value=4078","layer":4},{"info":"compute unary expreesion, input=4078, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-12234","layer":3},{"info":"compute binary expreesion, left_input=-86672, right_input=-12234, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=73756","layer":2},{"info":"number node, value=1062","layer":4},{"info":"number node, value=2280","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=2280, 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=-4288","layer":3},{"info":"compute unary expreesion, input=-4288, 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=73756, right_input=8320752, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⋠∜⇑⪆102014)⪭≯(⇑⪆23344⫳≱↱⇑⪆132422))⊔((⇑⪆31434⫳≱↱⇑⪆40211)⪡(⇑⪆102121≫≃))⫔⩽⩺(⇑⪆302102⇤⇑⪆231002⩍⋽⫝̸(⨵≀≌⇑⪆112303))⨼⩣(⋎⨆⇑⪆13222≃⇑⪆33110)=NaN","reverse_text":"NaN=((⋠∜⇑⪆102014)⪭≯(⇑⪆23344⫳≱↱⇑⪆132422))⊔((⇑⪆31434⫳≱↱⇑⪆40211)⪡(⇑⪆102121≫≃))⫔⩽⩺(⇑⪆302102⇤⇑⪆231002⩍⋽⫝̸(⨵≀≌⇑⪆112303))⨼⩣(⋎⨆⇑⪆13222≃⇑⪆33110)","cot":[{"info":"⋠∜⇑⪆102014=⇑⪆1001240","layer":3},{"info":"⇑⪆23344⫳≱↱⇑⪆132422=⇑⪆-1304","layer":3},{"info":"⇑⪆1001240⪭≯⇑⪆-1304=NaN","layer":2},{"info":"⇑⪆31434⫳≱↱⇑⪆40211=⇑⪆-1304","layer":3},{"info":"⇑⪆102121≫≃=⇑⪆230343","layer":3},{"info":"⇑⪆-1304⪡⇑⪆230343=⇑⪆21001","layer":2},{"info":"NaN⊔⇑⪆21001=NaN","layer":1},{"info":"⇑⪆302102⇤⇑⪆231002=⇑⪆-10233142","layer":3},{"info":"⨵≀≌⇑⪆112303=⇑⪆-342414","layer":3},{"info":"⇑⪆-10233142⩍⋽⫝̸⇑⪆-342414=⇑⪆4330011","layer":2},{"info":"⇑⪆13222≃⇑⪆33110=⇑⪆-114123","layer":3},{"info":"⋎⨆⇑⪆-114123=⇑⪆4112231002","layer":2},{"info":"⇑⪆4330011⨼⩣⇑⪆4112231002=NaN","layer":1},{"info":"NaN⫔⩽⩺NaN=NaN","layer":0}]}
{"id":342,"expression_no_base_symbol":"((⪫⨮⊛$1048$)⫡⨏$4229$⊕∕$1462$)⨥⫆(($2344$⨫⇇↔$4606$)⩖⊿($5603$⪒$2605$))⨽(⇜⊴$4372$→⨶⪴$1590$)⨥⫆(≑⋹(≯$2821$))","expression":"((⪫⨮⊛⇑⪆13143)⫡⨏⇑⪆113404⊕∕⇑⪆21322)⨥⫆((⇑⪆33334⨫⇇↔⇑⪆121411)⩖⊿(⇑⪆134403⪒⇑⪆40410))⨽(⇜⊴⇑⪆114442→⨶⪴⇑⪆22330)⨥⫆(≑⋹(≯⇑⪆42241))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":37016,"operation_count":13,"complexity_ratio":2847.3846153846152,"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":1048,"base":5}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":4229,"base":5},"right_expr":{"type":"numeric_atoms","value":1462,"base":5}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2344,"base":5},"right_expr":{"type":"numeric_atoms","value":4606,"base":5}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5603,"base":5},"right_expr":{"type":"numeric_atoms","value":2605,"base":5}}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":4372,"base":5},"right_expr":{"type":"numeric_atoms","value":1590,"base":5}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":2821,"base":5}}}}},"used_operators":["8HhzD0ZcuI","yXekIHxTD4","QMFrweE19q","w5FWba1tyO","9cloC0Ngie","RZ5CV9rWsJ","LXhwmt4mBO","f6k1SAg4EE","XwDhCwWbUn","bF6eod5Gvf","6B9nyZLogK","keWfFq85dY"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","8w2t5hMYqp","9FxExcQeMw","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","g55IO6H4Gj","JLbD19bQDL"],"result":"-Inf","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1048","layer":4},{"info":"compute unary expreesion, input=1048, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=1048","layer":3},{"info":"number node, value=4229","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=4229, right_input=1462, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=4229","layer":3},{"info":"compute binary expreesion, left_input=1048, right_input=4229, 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=14481","layer":2},{"info":"number node, value=2344","layer":4},{"info":"number node, value=4606","layer":4},{"info":"compute binary expreesion, left_input=2344, right_input=4606, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=5603","layer":4},{"info":"number node, value=2605","layer":4},{"info":"compute binary expreesion, left_input=5603, right_input=2605, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8208","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=-8208, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=18330","layer":2},{"info":"compute binary expreesion, left_input=14481, right_input=18330, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=36536","layer":1},{"info":"number node, value=4372","layer":4},{"info":"number node, value=1590","layer":4},{"info":"compute binary expreesion, left_input=4372, right_input=1590, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4770","layer":3},{"info":"compute unary expreesion, input=-4770, 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=-146276","layer":2},{"info":"number node, value=2821","layer":4},{"info":"compute unary expreesion, input=2821, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-694","layer":2},{"info":"compute binary expreesion, left_input=-146276, right_input=-694, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=36536, right_input=-1, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":0}],"base":5,"result_base":5,"text":"((⪫⨮⊛⇑⪆13143)⫡⨏⇑⪆113404⊕∕⇑⪆21322)⨥⫆((⇑⪆33334⨫⇇↔⇑⪆121411)⩖⊿(⇑⪆134403⪒⇑⪆40410))⨽(⇜⊴⇑⪆114442→⨶⪴⇑⪆22330)⨥⫆(≑⋹(≯⇑⪆42241))=-Inf","reverse_text":"-Inf=((⪫⨮⊛⇑⪆13143)⫡⨏⇑⪆113404⊕∕⇑⪆21322)⨥⫆((⇑⪆33334⨫⇇↔⇑⪆121411)⩖⊿(⇑⪆134403⪒⇑⪆40410))⨽(⇜⊴⇑⪆114442→⨶⪴⇑⪆22330)⨥⫆(≑⋹(≯⇑⪆42241))","cot":[{"info":"⪫⨮⊛⇑⪆13143=⇑⪆13143","layer":3},{"info":"⇑⪆113404⊕∕⇑⪆21322=⇑⪆113404","layer":3},{"info":"⇑⪆13143⫡⨏⇑⪆113404=⇑⪆430411","layer":2},{"info":"⇑⪆33334⨫⇇↔⇑⪆121411=⇑⪆-4102","layer":3},{"info":"⇑⪆134403⪒⇑⪆40410=⇑⪆-230313","layer":3},{"info":"⇑⪆-4102⩖⊿⇑⪆-230313=⇑⪆1041310","layer":2},{"info":"⇑⪆430411⨥⫆⇑⪆1041310=⇑⪆2132121","layer":1},{"info":"⇑⪆114442→⨶⪴⇑⪆22330=⇑⪆-123040","layer":3},{"info":"⇜⊴⇑⪆-123040=⇑⪆-14140101","layer":2},{"info":"≯⇑⪆42241=⇑⪆0","layer":3},{"info":"≑⋹⇑⪆0=⇑⪆-10234","layer":2},{"info":"⇑⪆-14140101⨥⫆⇑⪆-10234=⇑⪆-1","layer":1},{"info":"⇑⪆2132121⨽⇑⪆-1=-Inf","layer":0}]}
{"id":343,"expression_no_base_symbol":"(⪓⩚(+⊝⨔$1114$))≄⊠($7549$⋹⋡⊁$1586$⫢⨠($1426$⫔⩽⩺$1776$))⩚⊴⇥(($3018$⩨$1269$)⨉)⋝⋈⪟(⫇($2663$≀⫉$1090$))","expression":"(⪓⩚(+⊝⨔⇑⪆13424))≄⊠(⇑⪆220144⋹⋡⊁⇑⪆22321⫢⨠(⇑⪆21201⫔⩽⩺⇑⪆24101))⩚⊴⇥((⇑⪆44033⩨⇑⪆20034)⨉)⋝⋈⪟(⫇(⇑⪆41123≀⫉⇑⪆13330))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":66278,"operation_count":12,"complexity_ratio":5523.166666666667,"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":1114,"base":5}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":7549,"base":5},"right_expr":{"type":"numeric_atoms","value":1586,"base":5}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1426,"base":5},"right_expr":{"type":"numeric_atoms","value":1776,"base":5}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3018,"base":5},"right_expr":{"type":"numeric_atoms","value":1269,"base":5}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2663,"base":5},"right_expr":{"type":"numeric_atoms","value":1090,"base":5}}}}},"used_operators":["NTOWxs364D","vXNesLlMH1","u0R0Locfp2","DhbWaqg5eL","xlXykHWxX1","As8RqfVLgs","i9eR4S00cU","2DDjHMKMc0","aMUSaJuDRU","2DlMacCsIx","YjI8oCXuph","oZj3VtZNQx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"⇑⪆-111244","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1114","layer":4},{"info":"compute unary expreesion, input=1114, 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 = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=7549","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=7549, right_input=1586, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2336","layer":3},{"info":"number node, value=1426","layer":4},{"info":"number node, value=1776","layer":4},{"info":"compute binary expreesion, left_input=1426, right_input=1776, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2336, 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=426, 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":"number node, value=3018","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=3018, right_input=1269, 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 = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=2328","layer":2},{"info":"number node, value=2663","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=2663, right_input=1090, 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 = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-4430","layer":2},{"info":"compute binary expreesion, left_input=2328, right_input=-4430, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2328","layer":1},{"info":"compute binary expreesion, left_input=1500, right_input=2328, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3949","layer":0}],"base":5,"result_base":5,"text":"(⪓⩚(+⊝⨔⇑⪆13424))≄⊠(⇑⪆220144⋹⋡⊁⇑⪆22321⫢⨠(⇑⪆21201⫔⩽⩺⇑⪆24101))⩚⊴⇥((⇑⪆44033⩨⇑⪆20034)⨉)⋝⋈⪟(⫇(⇑⪆41123≀⫉⇑⪆13330))=⇑⪆-111244","reverse_text":"⇑⪆-111244=(⪓⩚(+⊝⨔⇑⪆13424))≄⊠(⇑⪆220144⋹⋡⊁⇑⪆22321⫢⨠(⇑⪆21201⫔⩽⩺⇑⪆24101))⩚⊴⇥((⇑⪆44033⩨⇑⪆20034)⨉)⋝⋈⪟(⫇(⇑⪆41123≀⫉⇑⪆13330))","cot":[{"info":"+⊝⨔⇑⪆13424=⇑⪆22042","layer":3},{"info":"⪓⩚⇑⪆22042=⇑⪆3201","layer":2},{"info":"⇑⪆220144⋹⋡⊁⇑⪆22321=⇑⪆33321","layer":3},{"info":"⇑⪆21201⫔⩽⩺⇑⪆24101=NaN","layer":3},{"info":"⇑⪆33321⫢⨠NaN=NaN","layer":2},{"info":"⇑⪆3201≄⊠NaN=⇑⪆22000","layer":1},{"info":"⇑⪆44033⩨⇑⪆20034=⇑⪆0","layer":3},{"info":"⇑⪆0⨉=⇑⪆33303","layer":2},{"info":"⇑⪆41123≀⫉⇑⪆13330=⇑⪆42242","layer":3},{"info":"⫇⇑⪆42242=⇑⪆-120210","layer":2},{"info":"⇑⪆33303⋝⋈⪟⇑⪆-120210=⇑⪆33303","layer":1},{"info":"⇑⪆22000⩚⊴⇥⇑⪆33303=⇑⪆-111244","layer":0}]}
{"id":344,"expression_no_base_symbol":"((∡$1186$)⇣⩺⋵($6640$⫃⨇$3948$))⩼⇪↪($9309$+$2470$)⇂≾⫗($3270$⨫⇇↔$1612$)⩼⇪↪(($1194$≃⋄)↼⊘⨖(⨛$2196$)⇴∐((⩒∊$1592$)⫸⇳($3263$⪁$2352$)))","expression":"((∡⇑⪆14221)⇣⩺⋵(⇑⪆203030⫃⨇⇑⪆111243))⩼⇪↪(⇑⪆244214+⇑⪆34340)⇂≾⫗(⇑⪆101040⨫⇇↔⇑⪆22422)⩼⇪↪((⇑⪆14234≃⋄)↼⊘⨖(⨛⇑⪆32241)⇴∐((⩒∊⇑⪆22332)⫸⇳(⇑⪆101023⪁⇑⪆33402)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":75362744,"operation_count":15,"complexity_ratio":5024182.933333334,"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":1186,"base":5}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":6640,"base":5},"right_expr":{"type":"numeric_atoms","value":3948,"base":5}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":9309,"base":5},"right_expr":{"type":"numeric_atoms","value":2470,"base":5}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3270,"base":5},"right_expr":{"type":"numeric_atoms","value":1612,"base":5}}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":1194,"base":5}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":2196,"base":5}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1592,"base":5}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3263,"base":5},"right_expr":{"type":"numeric_atoms","value":2352,"base":5}}}}},"used_operators":["ocnLzx9CaJ","F4yD0voBRQ","pRsWfj4Fpp","09Ly4LVMIf","aBQ6xLxuTc","W4YGzv6Whe","LXhwmt4mBO","HnzytWxmAO","bPywburJMS","aN9a90urxU","CoMdbyAt7R","gx7XJ7hdpj","qazvmhNBbN","I7sXao9hZE"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","uFcxV4UQCh","jLgFTUHLKL","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"⇑⪆-1321424","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1186","layer":4},{"info":"compute unary expreesion, input=1186, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1186","layer":3},{"info":"number node, value=6640","layer":4},{"info":"number node, value=3948","layer":4},{"info":"compute binary expreesion, left_input=6640, right_input=3948, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-15824","layer":3},{"info":"compute binary expreesion, left_input=-1186, right_input=-15824, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=9309","layer":4},{"info":"number node, value=2470","layer":4},{"info":"compute binary expreesion, left_input=9309, right_input=2470, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11779","layer":3},{"info":"number node, value=3270","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=3270, right_input=1612, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=11779, right_input=-527, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-676, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=3429","layer":1},{"info":"number node, value=1194","layer":4},{"info":"compute unary expreesion, input=1194, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"number node, value=2196","layer":4},{"info":"compute unary expreesion, input=2196, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=764, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":2},{"info":"number node, value=1592","layer":4},{"info":"compute unary expreesion, input=1592, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=2427","layer":3},{"info":"number node, value=3263","layer":4},{"info":"number node, value=2352","layer":4},{"info":"compute binary expreesion, left_input=3263, right_input=2352, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2427, 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=nan, right_input=0, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=4652","layer":1},{"info":"compute binary expreesion, left_input=3429, right_input=4652, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-26489","layer":0}],"base":5,"result_base":5,"text":"((∡⇑⪆14221)⇣⩺⋵(⇑⪆203030⫃⨇⇑⪆111243))⩼⇪↪(⇑⪆244214+⇑⪆34340)⇂≾⫗(⇑⪆101040⨫⇇↔⇑⪆22422)⩼⇪↪((⇑⪆14234≃⋄)↼⊘⨖(⨛⇑⪆32241)⇴∐((⩒∊⇑⪆22332)⫸⇳(⇑⪆101023⪁⇑⪆33402)))=⇑⪆-1321424","reverse_text":"⇑⪆-1321424=((∡⇑⪆14221)⇣⩺⋵(⇑⪆203030⫃⨇⇑⪆111243))⩼⇪↪(⇑⪆244214+⇑⪆34340)⇂≾⫗(⇑⪆101040⨫⇇↔⇑⪆22422)⩼⇪↪((⇑⪆14234≃⋄)↼⊘⨖(⨛⇑⪆32241)⇴∐((⩒∊⇑⪆22332)⫸⇳(⇑⪆101023⪁⇑⪆33402)))","cot":[{"info":"∡⇑⪆14221=⇑⪆-14221","layer":3},{"info":"⇑⪆203030⫃⨇⇑⪆111243=⇑⪆-1001244","layer":3},{"info":"⇑⪆-14221⇣⩺⋵⇑⪆-1001244=⇑⪆-2020","layer":2},{"info":"⇑⪆244214+⇑⪆34340=⇑⪆334104","layer":3},{"info":"⇑⪆101040⨫⇇↔⇑⪆22422=⇑⪆-4102","layer":3},{"info":"⇑⪆334104⇂≾⫗⇑⪆-4102=⇑⪆-10201","layer":2},{"info":"⇑⪆-2020⩼⇪↪⇑⪆-10201=⇑⪆102204","layer":1},{"info":"⇑⪆14234≃⋄=⇑⪆11024","layer":3},{"info":"⨛⇑⪆32241=NaN","layer":3},{"info":"⇑⪆11024↼⊘⨖NaN=NaN","layer":2},{"info":"⩒∊⇑⪆22332=⇑⪆34202","layer":3},{"info":"⇑⪆101023⪁⇑⪆33402=NaN","layer":3},{"info":"⇑⪆34202⫸⇳NaN=⇑⪆0","layer":2},{"info":"NaN⇴∐⇑⪆0=⇑⪆122102","layer":1},{"info":"⇑⪆102204⩼⇪↪⇑⪆122102=⇑⪆-1321424","layer":0}]}
{"id":345,"expression_no_base_symbol":"(⊑($5381$⇻⋧≁$1751$⪨⊡(↥$1736$)))⨳⩥⨓($6442$⩧⪆$8975$⩨$4864$⨰$1770$)≧⫂∧(⨭⩧⫛$3236$)⩦($5693$⫃⨇$1991$)","expression":"(⊑(⇑⪆133011⇻⋧≁⇑⪆24001⪨⊡(↥⇑⪆23421)))⨳⩥⨓(⇑⪆201232⩧⪆⇑⪆241400⩨⇑⪆123424⨰⇑⪆24040)≧⫂∧(⨭⩧⫛⇑⪆100421)⩦(⇑⪆140233⫃⨇⇑⪆30431)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5977,"operation_count":12,"complexity_ratio":498.0833333333333,"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":5381,"base":5},"right_expr":{"type":"numeric_atoms","value":1751,"base":5}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1736,"base":5}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":6442,"base":5},"right_expr":{"type":"numeric_atoms","value":8975,"base":5}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4864,"base":5},"right_expr":{"type":"numeric_atoms","value":1770,"base":5}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":3236,"base":5}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5693,"base":5},"right_expr":{"type":"numeric_atoms","value":1991,"base":5}}}}},"used_operators":["nCS4ZIUYfx","IkUmn0D7oy","kuIXHzHcAH","jCPkEVoL5K","A8NUZmVepG","Ph9nP6C5qx","2DlMacCsIx","Ikt5ks8PT7","eewbuw0ToL","0kmYd0q39Y","g21JL6JxX7","09Ly4LVMIf"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5381","layer":4},{"info":"number node, value=1751","layer":4},{"info":"compute binary expreesion, left_input=5381, right_input=1751, 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=1736","layer":4},{"info":"compute unary expreesion, input=1736, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=2","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=2, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=781","layer":2},{"info":"compute unary expreesion, input=781, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"number node, value=6442","layer":4},{"info":"number node, value=8975","layer":4},{"info":"compute binary expreesion, left_input=6442, right_input=8975, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-8975","layer":3},{"info":"number node, value=4864","layer":4},{"info":"number node, value=1770","layer":4},{"info":"compute binary expreesion, left_input=4864, right_input=1770, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3104","layer":3},{"info":"compute binary expreesion, left_input=-8975, right_input=3104, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=3236","layer":4},{"info":"compute unary expreesion, input=3236, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=5693","layer":4},{"info":"number node, value=1991","layer":4},{"info":"compute binary expreesion, left_input=5693, right_input=1991, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-7996","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7996, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⊑(⇑⪆133011⇻⋧≁⇑⪆24001⪨⊡(↥⇑⪆23421)))⨳⩥⨓(⇑⪆201232⩧⪆⇑⪆241400⩨⇑⪆123424⨰⇑⪆24040)≧⫂∧(⨭⩧⫛⇑⪆100421)⩦(⇑⪆140233⫃⨇⇑⪆30431)=NaN","reverse_text":"NaN=(⊑(⇑⪆133011⇻⋧≁⇑⪆24001⪨⊡(↥⇑⪆23421)))⨳⩥⨓(⇑⪆201232⩧⪆⇑⪆241400⩨⇑⪆123424⨰⇑⪆24040)≧⫂∧(⨭⩧⫛⇑⪆100421)⩦(⇑⪆140233⫃⨇⇑⪆30431)","cot":[{"info":"⇑⪆133011⇻⋧≁⇑⪆24001=⇑⪆-3242","layer":3},{"info":"↥⇑⪆23421=⇑⪆2","layer":3},{"info":"⇑⪆-3242⪨⊡⇑⪆2=⇑⪆11111","layer":2},{"info":"⊑⇑⪆11111=⇑⪆1232","layer":1},{"info":"⇑⪆201232⩧⪆⇑⪆241400=⇑⪆-241400","layer":3},{"info":"⇑⪆123424⨰⇑⪆24040=⇑⪆44404","layer":3},{"info":"⇑⪆-241400⩨⇑⪆44404=⇑⪆3","layer":2},{"info":"⨭⩧⫛⇑⪆100421=NaN","layer":3},{"info":"⇑⪆140233⫃⨇⇑⪆30431=⇑⪆-223441","layer":3},{"info":"NaN⩦⇑⪆-223441=NaN","layer":2},{"info":"⇑⪆3≧⫂∧NaN=NaN","layer":1},{"info":"⇑⪆1232⨳⩥⨓NaN=NaN","layer":0}]}
{"id":346,"expression_no_base_symbol":"⨵≀≌($1771$∌↝$9083$⫚↹⊑$1453$≨$2954$)⪃⊛⇣($1271$/$1187$↰)","expression":"⨵≀≌(⇑⪆24041∌↝⇑⪆242313⫚↹⊑⇑⪆21303≨⇑⪆43304)⪃⊛⇣(⇑⪆20041/⇑⪆14222↰)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":200490,"operation_count":7,"complexity_ratio":28641.428571428572,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1771,"base":5},"right_expr":{"type":"numeric_atoms","value":9083,"base":5}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1453,"base":5},"right_expr":{"type":"numeric_atoms","value":2954,"base":5}}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1271,"base":5},"right_expr":{"type":"numeric_atoms","value":1187,"base":5}}}}},"used_operators":["srAu1WTS94","rrgAzCduG9","dfKe02y8D2","9Isq31Ruls","0KMCeP1Jsh","bl5wxAcryP","XhwjNDsVaA"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","nCS4ZIUYfx","Z2TMIBDE3Q","rysDP5nf3Z"],"result":"⇑⪆-104302","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1771","layer":4},{"info":"number node, value=9083","layer":4},{"info":"compute binary expreesion, left_input=1771, right_input=9083, 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=1453","layer":4},{"info":"number node, value=2954","layer":4},{"info":"compute binary expreesion, left_input=1453, right_input=2954, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-12054","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-12054, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=1271","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=1271, right_input=1187, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=-100","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-100, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3702","layer":0}],"base":5,"result_base":5,"text":"⨵≀≌(⇑⪆24041∌↝⇑⪆242313⫚↹⊑⇑⪆21303≨⇑⪆43304)⪃⊛⇣(⇑⪆20041/⇑⪆14222↰)=⇑⪆-104302","reverse_text":"⇑⪆-104302=⨵≀≌(⇑⪆24041∌↝⇑⪆242313⫚↹⊑⇑⪆21303≨⇑⪆43304)⪃⊛⇣(⇑⪆20041/⇑⪆14222↰)","cot":[{"info":"⇑⪆24041∌↝⇑⪆242313=⇑⪆0","layer":3},{"info":"⇑⪆21303≨⇑⪆43304=⇑⪆-341204","layer":3},{"info":"⇑⪆0⫚↹⊑⇑⪆-341204=⇑⪆-3242","layer":2},{"info":"⇑⪆20041/⇑⪆14222=⇑⪆1","layer":3},{"info":"⇑⪆1↰=⇑⪆-400","layer":2},{"info":"⇑⪆-3242⪃⊛⇣⇑⪆-400=⇑⪆14414","layer":1},{"info":"⨵≀≌⇑⪆14414=⇑⪆-104302","layer":0}]}
{"id":347,"expression_no_base_symbol":"(∓(⋣$7672$⋥⋵⩄$1582$))⫰⋱((($3139$≬⋮$1400$)⨒($1602$⋩≍≻))⇐≅)","expression":"(∓(⋣⇑⪆221142⋥⋵⩄⇑⪆22312))⫰⋱(((⇑⪆100024≬⋮⇑⪆21100)⨒(⇑⪆22402⋩≍≻))⇐≅)","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":236,"operation_count":8,"complexity_ratio":29.5,"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":7672,"base":5},"right_expr":{"type":"numeric_atoms","value":1582,"base":5}}}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3139,"base":5},"right_expr":{"type":"numeric_atoms","value":1400,"base":5}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":1602,"base":5}}}}},"used_operators":["6o9Blt3TJ6","OwUj7dcsQK","zQWRhDnn8F","7t3wd0Fuz7","wEfv7U73WA","y75s1iXyHd","kbkesczE7y","WYd1w68Nbz"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C"],"result":"⇑⪆-111211433","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7672","layer":4},{"info":"number node, value=1582","layer":4},{"info":"compute binary expreesion, left_input=7672, right_input=1582, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-33127","layer":2},{"info":"compute unary expreesion, input=-33127, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=492033","layer":1},{"info":"number node, value=3139","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=3139, right_input=1400, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1602","layer":4},{"info":"compute unary expreesion, input=1602, 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=868, right_input=-55, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=492033, right_input=-473, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-491493","layer":0}],"base":5,"result_base":5,"text":"(∓(⋣⇑⪆221142⋥⋵⩄⇑⪆22312))⫰⋱(((⇑⪆100024≬⋮⇑⪆21100)⨒(⇑⪆22402⋩≍≻))⇐≅)=⇑⪆-111211433","reverse_text":"⇑⪆-111211433=(∓(⋣⇑⪆221142⋥⋵⩄⇑⪆22312))⫰⋱(((⇑⪆100024≬⋮⇑⪆21100)⨒(⇑⪆22402⋩≍≻))⇐≅)","cot":[{"info":"⇑⪆221142⋥⋵⩄⇑⪆22312=⇑⪆423","layer":3},{"info":"⋣⇑⪆423=⇑⪆-2030002","layer":2},{"info":"∓⇑⪆-2030002=⇑⪆111221113","layer":1},{"info":"⇑⪆100024≬⋮⇑⪆21100=⇑⪆11433","layer":3},{"info":"⇑⪆22402⋩≍≻=⇑⪆-210","layer":3},{"info":"⇑⪆11433⨒⇑⪆-210=⇑⪆0","layer":2},{"info":"⇑⪆0⇐≅=⇑⪆-3343","layer":1},{"info":"⇑⪆111221113⫰⋱⇑⪆-3343=⇑⪆-111211433","layer":0}]}
{"id":348,"expression_no_base_symbol":"⨦⪝((⊄⩳↩($1544$⋥≓≎$2975$))⋻⩜⩜$6467$⨸$8394$↳≱($4702$⫉⨲⊜$1042$))","expression":"⨦⪝((⊄⩳↩(⇑⪆22134⋥≓≎⇑⪆43400))⋻⩜⩜⇑⪆201332⨸⇑⪆232034↳≱(⇑⪆122302⫉⨲⊜⇑⪆13132))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6723,"operation_count":7,"complexity_ratio":960.4285714285714,"tree":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1544,"base":5},"right_expr":{"type":"numeric_atoms","value":2975,"base":5}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":6467,"base":5},"right_expr":{"type":"numeric_atoms","value":8394,"base":5}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4702,"base":5},"right_expr":{"type":"numeric_atoms","value":1042,"base":5}}}}},"used_operators":["SUjycxNXIR","oDCm7WA9JY","8w2t5hMYqp","Qy55tPpLXF","JwTKLfZU96","KmoU8R5UQR","WhqkvtTD3t"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","eewbuw0ToL","zVYPLywUTj"],"result":"⇑⪆-30014","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1544","layer":4},{"info":"number node, value=2975","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=2975, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4439","layer":3},{"info":"compute unary expreesion, input=4439, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-13317","layer":2},{"info":"number node, value=6467","layer":4},{"info":"number node, value=8394","layer":4},{"info":"compute binary expreesion, left_input=6467, right_input=8394, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=12934","layer":3},{"info":"number node, value=4702","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=4702, right_input=1042, 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=12934, 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=-13317, right_input=0, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":5,"result_base":5,"text":"⨦⪝((⊄⩳↩(⇑⪆22134⋥≓≎⇑⪆43400))⋻⩜⩜⇑⪆201332⨸⇑⪆232034↳≱(⇑⪆122302⫉⨲⊜⇑⪆13132))=⇑⪆-30014","reverse_text":"⇑⪆-30014=⨦⪝((⊄⩳↩(⇑⪆22134⋥≓≎⇑⪆43400))⋻⩜⩜⇑⪆201332⨸⇑⪆232034↳≱(⇑⪆122302⫉⨲⊜⇑⪆13132))","cot":[{"info":"⇑⪆22134⋥≓≎⇑⪆43400=⇑⪆120224","layer":3},{"info":"⊄⩳↩⇑⪆120224=⇑⪆-411232","layer":2},{"info":"⇑⪆201332⨸⇑⪆232034=⇑⪆403214","layer":3},{"info":"⇑⪆122302⫉⨲⊜⇑⪆13132=⇑⪆0","layer":3},{"info":"⇑⪆403214↳≱⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆-411232⋻⩜⩜⇑⪆0=⇑⪆0","layer":1},{"info":"⨦⪝⇑⪆0=⇑⪆-30014","layer":0}]}
{"id":349,"expression_no_base_symbol":"∮(($4066$⪎↠$1070$⪁$1484$⫁⪎$1060$)⪹)","expression":"∮((⇑⪆112231⪎↠⇑⪆13240⪁⇑⪆21414⫁⪎⇑⪆13220)⪹)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2649808,"operation_count":5,"complexity_ratio":529961.6,"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":4066,"base":5},"right_expr":{"type":"numeric_atoms","value":1070,"base":5}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1484,"base":5},"right_expr":{"type":"numeric_atoms","value":1060,"base":5}}}}},"used_operators":["CqXKPLVYql","B3sABdIn96","I7sXao9hZE","3tVxb0NHM4","xRrnTEsQ6j"],"dependent_operators":["2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=4066","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=4066, right_input=1070, 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=1484","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=1484, right_input=1060, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=424","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=424, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"∮((⇑⪆112231⪎↠⇑⪆13240⪁⇑⪆21414⫁⪎⇑⪆13220)⪹)=NaN","reverse_text":"NaN=∮((⇑⪆112231⪎↠⇑⪆13240⪁⇑⪆21414⫁⪎⇑⪆13220)⪹)","cot":[{"info":"⇑⪆112231⪎↠⇑⪆13240=⇑⪆1120","layer":3},{"info":"⇑⪆21414⫁⪎⇑⪆13220=⇑⪆3144","layer":3},{"info":"⇑⪆1120⪁⇑⪆3144=NaN","layer":2},{"info":"NaN⪹=NaN","layer":1},{"info":"∮NaN=NaN","layer":0}]}
{"id":350,"expression_no_base_symbol":"((($1837$∈)⪁$1004$⨽∌$1076$)⊋(($3185$⊴⇁⪶)⩺⪪$2788$⫣⪄⊒$1058$))⩍⋽⫝̸(∮(($1945$≭$1829$)∋($1022$≧⫂∧$1225$)))","expression":"(((⇑⪆24322∈)⪁⇑⪆13004⨽∌⇑⪆13301)⊋((⇑⪆100220⊴⇁⪶)⩺⪪⇑⪆42123⫣⪄⊒⇑⪆13213))⩍⋽⫝̸(∮((⇑⪆30240≭⇑⪆24304)∋(⇑⪆13042≧⫂∧⇑⪆14400)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":13416,"operation_count":12,"complexity_ratio":1118.0,"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":1837,"base":5}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1004,"base":5},"right_expr":{"type":"numeric_atoms","value":1076,"base":5}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":3185,"base":5}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2788,"base":5},"right_expr":{"type":"numeric_atoms","value":1058,"base":5}}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1945,"base":5},"right_expr":{"type":"numeric_atoms","value":1829,"base":5}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1022,"base":5},"right_expr":{"type":"numeric_atoms","value":1225,"base":5}}}}},"used_operators":["BiWNJpBvwn","W4tP9CfskL","I7sXao9hZE","ztP7wcbY7m","9samAPKr6k","uvdQJvN4PV","oo9mF6JIpo","RabNbG55vr","CqXKPLVYql","ukq6epAj5P","rxpJgHHUmx","Ph9nP6C5qx"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1837","layer":4},{"info":"compute unary expreesion, input=1837, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=4840","layer":3},{"info":"number node, value=1004","layer":4},{"info":"number node, value=1076","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=1076, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4840, right_input=0, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=3185","layer":4},{"info":"compute unary expreesion, input=3185, 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=62392","layer":3},{"info":"number node, value=2788","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=2788, right_input=1058, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-1284","layer":3},{"info":"compute binary expreesion, left_input=62392, right_input=-1284, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1019714","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1019714, 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=-20399734","layer":1},{"info":"number node, value=1945","layer":4},{"info":"number node, value=1829","layer":4},{"info":"compute binary expreesion, left_input=1945, right_input=1829, 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=1022","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=1225, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=752","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=752, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', 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 binary expreesion, left_input=-20399734, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆24322∈)⪁⇑⪆13004⨽∌⇑⪆13301)⊋((⇑⪆100220⊴⇁⪶)⩺⪪⇑⪆42123⫣⪄⊒⇑⪆13213))⩍⋽⫝̸(∮((⇑⪆30240≭⇑⪆24304)∋(⇑⪆13042≧⫂∧⇑⪆14400)))=NaN","reverse_text":"NaN=(((⇑⪆24322∈)⪁⇑⪆13004⨽∌⇑⪆13301)⊋((⇑⪆100220⊴⇁⪶)⩺⪪⇑⪆42123⫣⪄⊒⇑⪆13213))⩍⋽⫝̸(∮((⇑⪆30240≭⇑⪆24304)∋(⇑⪆13042≧⫂∧⇑⪆14400)))","cot":[{"info":"⇑⪆24322∈=⇑⪆123330","layer":3},{"info":"⇑⪆13004⨽∌⇑⪆13301=⇑⪆0","layer":3},{"info":"⇑⪆123330⪁⇑⪆0=NaN","layer":2},{"info":"⇑⪆100220⊴⇁⪶=⇑⪆3444032","layer":3},{"info":"⇑⪆42123⫣⪄⊒⇑⪆13213=⇑⪆-20114","layer":3},{"info":"⇑⪆3444032⩺⪪⇑⪆-20114=⇑⪆-230112324","layer":2},{"info":"NaN⊋⇑⪆-230112324=⇑⪆-20210242414","layer":1},{"info":"⇑⪆30240≭⇑⪆24304=NaN","layer":3},{"info":"⇑⪆13042≧⫂∧⇑⪆14400=⇑⪆11002","layer":3},{"info":"NaN∋⇑⪆11002=NaN","layer":2},{"info":"∮NaN=NaN","layer":1},{"info":"⇑⪆-20210242414⩍⋽⫝̸NaN=NaN","layer":0}]}
{"id":351,"expression_no_base_symbol":"(↨($7741$↞⋁$2961$⋭≵$1084$↙$3320$))↤⩊((($6657$⨌↪)⨎⋸⪻)∳⫺($5752$≁↽≥$1042$⩚⊴⇥$1108$⇡⇂$4078$))","expression":"(↨(⇑⪆221431↞⋁⇑⪆43321⋭≵⇑⪆13314↙⇑⪆101240))↤⩊(((⇑⪆203112⨌↪)⨎⋸⪻)∳⫺(⇑⪆141002≁↽≥⇑⪆13132⩚⊴⇥⇑⪆13413⇡⇂⇑⪆112303))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":25079,"operation_count":11,"complexity_ratio":2279.909090909091,"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":7741,"base":5},"right_expr":{"type":"numeric_atoms","value":2961,"base":5}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1084,"base":5},"right_expr":{"type":"numeric_atoms","value":3320,"base":5}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":6657,"base":5}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":5752,"base":5},"right_expr":{"type":"numeric_atoms","value":1042,"base":5}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1108,"base":5},"right_expr":{"type":"numeric_atoms","value":4078,"base":5}}}}},"used_operators":["13rbtpv6ld","jiX4gk2v2Q","jBncVCNhdl","RqrPlJkxDo","yyfyN0ffXY","AzXXKTstlj","Dk5vyLCiGd","cWQsF5MvuD","NTOWxs364D","ncHt1X6cMc","UMwdvZNt44"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rGHVDoGpnC","oZj3VtZNQx","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","tmPS8pqC7x","DpFCA1CohY","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","IWmyXbctLI","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7741","layer":4},{"info":"number node, value=2961","layer":4},{"info":"compute binary expreesion, left_input=7741, right_input=2961, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1084","layer":4},{"info":"number node, value=3320","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=3320, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9960","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9960, 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 unary expreesion, input=67, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":1},{"info":"number node, value=6657","layer":4},{"info":"compute unary expreesion, input=6657, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"compute unary expreesion, input=-480, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=-644","layer":2},{"info":"number node, value=5752","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=5752, right_input=1042, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=82536","layer":3},{"info":"number node, value=1108","layer":4},{"info":"number node, value=4078","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=4078, 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=82536, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-644, right_input=nan, 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=0, right_input=-260, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(↨(⇑⪆221431↞⋁⇑⪆43321⋭≵⇑⪆13314↙⇑⪆101240))↤⩊(((⇑⪆203112⨌↪)⨎⋸⪻)∳⫺(⇑⪆141002≁↽≥⇑⪆13132⩚⊴⇥⇑⪆13413⇡⇂⇑⪆112303))=NaN","reverse_text":"NaN=(↨(⇑⪆221431↞⋁⇑⪆43321⋭≵⇑⪆13314↙⇑⪆101240))↤⩊(((⇑⪆203112⨌↪)⨎⋸⪻)∳⫺(⇑⪆141002≁↽≥⇑⪆13132⩚⊴⇥⇑⪆13413⇡⇂⇑⪆112303))","cot":[{"info":"⇑⪆221431↞⋁⇑⪆43321=NaN","layer":3},{"info":"⇑⪆13314↙⇑⪆101240=⇑⪆-304320","layer":3},{"info":"NaN⋭≵⇑⪆-304320=⇑⪆232","layer":2},{"info":"↨⇑⪆232=⇑⪆0","layer":1},{"info":"⇑⪆203112⨌↪=⇑⪆-3410","layer":3},{"info":"⇑⪆-3410⨎⋸⪻=⇑⪆-10034","layer":2},{"info":"⇑⪆141002≁↽≥⇑⪆13132=⇑⪆10120121","layer":3},{"info":"⇑⪆13413⇡⇂⇑⪆112303=NaN","layer":3},{"info":"⇑⪆10120121⩚⊴⇥NaN=NaN","layer":2},{"info":"⇑⪆-10034∳⫺NaN=⇑⪆-2020","layer":1},{"info":"⇑⪆0↤⩊⇑⪆-2020=NaN","layer":0}]}
{"id":352,"expression_no_base_symbol":"(($9329$∙∹∝$1743$)∧)≌($1568$⩁⩘$3295$⇴$3973$≀⫉$3090$)∴(⋗⩴⪓(↣≠⋷($1448$⋾⨃∁$1178$)))","expression":"((⇑⪆244304∙∹∝⇑⪆23433)∧)≌(⇑⪆22233⩁⩘⇑⪆101140⇴⇑⪆111343≀⫉⇑⪆44330)∴(⋗⩴⪓(↣≠⋷(⇑⪆21243⋾⨃∁⇑⪆14203)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":91633,"operation_count":10,"complexity_ratio":9163.3,"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":9329,"base":5},"right_expr":{"type":"numeric_atoms","value":1743,"base":5}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1568,"base":5},"right_expr":{"type":"numeric_atoms","value":3295,"base":5}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3973,"base":5},"right_expr":{"type":"numeric_atoms","value":3090,"base":5}}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1448,"base":5},"right_expr":{"type":"numeric_atoms","value":1178,"base":5}}}}},"used_operators":["hrf7POJlIJ","lyWz822IDG","z63VuFQld9","HmxsFra2vL","4JB6nKBMSY","gub5Cegaqo","oZj3VtZNQx","nOKPl9n5zu","Asc51vEJeQ","212REbPD9h"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","sdazOOVcIp","NTOWxs364D","COABgblf1C","DpFCA1CohY","IWmyXbctLI","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","XhwjNDsVaA","AHs5Up7iyr","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=9329","layer":4},{"info":"number node, value=1743","layer":4},{"info":"compute binary expreesion, left_input=9329, right_input=1743, 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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"number node, value=1568","layer":4},{"info":"number node, value=3295","layer":4},{"info":"compute binary expreesion, left_input=1568, right_input=3295, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=14128","layer":3},{"info":"number node, value=3973","layer":4},{"info":"number node, value=3090","layer":4},{"info":"compute binary expreesion, left_input=3973, right_input=3090, 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=14128, right_input=2822, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=90026","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=90026, 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=1448","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=1448, right_input=1178, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=13862610","layer":3},{"info":"compute unary expreesion, input=13862610, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆244304∙∹∝⇑⪆23433)∧)≌(⇑⪆22233⩁⩘⇑⪆101140⇴⇑⪆111343≀⫉⇑⪆44330)∴(⋗⩴⪓(↣≠⋷(⇑⪆21243⋾⨃∁⇑⪆14203)))=NaN","reverse_text":"NaN=((⇑⪆244304∙∹∝⇑⪆23433)∧)≌(⇑⪆22233⩁⩘⇑⪆101140⇴⇑⪆111343≀⫉⇑⪆44330)∴(⋗⩴⪓(↣≠⋷(⇑⪆21243⋾⨃∁⇑⪆14203)))","cot":[{"info":"⇑⪆244304∙∹∝⇑⪆23433=⇑⪆0","layer":3},{"info":"⇑⪆0∧=⇑⪆0","layer":2},{"info":"⇑⪆22233⩁⩘⇑⪆101140=⇑⪆423003","layer":3},{"info":"⇑⪆111343≀⫉⇑⪆44330=⇑⪆42242","layer":3},{"info":"⇑⪆423003⇴⇑⪆42242=⇑⪆10340101","layer":2},{"info":"⇑⪆0≌⇑⪆10340101=NaN","layer":1},{"info":"⇑⪆21243⋾⨃∁⇑⪆14203=⇑⪆12022100420","layer":3},{"info":"↣≠⋷⇑⪆12022100420=NaN","layer":2},{"info":"⋗⩴⪓NaN=NaN","layer":1},{"info":"NaN∴NaN=NaN","layer":0}]}
{"id":353,"expression_no_base_symbol":"⫶⊄≣(($4178$⊾⪯⋞$8228$)≳⇉$1999$⇷$2748$⨵⪆($1266$↙$1574$)⩇∃⫛($1847$-$2369$))","expression":"⫶⊄≣((⇑⪆113203⊾⪯⋞⇑⪆230403)≳⇉⇑⪆30444⇷⇑⪆41443⨵⪆(⇑⪆20031↙⇑⪆22244)⩇∃⫛(⇑⪆24342-⇑⪆33434))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":387695384,"operation_count":8,"complexity_ratio":48461923.0,"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":4178,"base":5},"right_expr":{"type":"numeric_atoms","value":8228,"base":5}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1999,"base":5},"right_expr":{"type":"numeric_atoms","value":2748,"base":5}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1266,"base":5},"right_expr":{"type":"numeric_atoms","value":1574,"base":5}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1847,"base":5},"right_expr":{"type":"numeric_atoms","value":2369,"base":5}}}}},"used_operators":["wxb3vTeyAj","2DQ55sFlQl","V0kx6qeWkN","HK0tfVPux8","mp7IySMOzn","1aApVXNlOP","yyfyN0ffXY","rysDP5nf3Z"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","rysDP5nf3Z","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","tmPS8pqC7x","DpFCA1CohY"],"result":"⇑⪆104212434","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4178","layer":4},{"info":"number node, value=8228","layer":4},{"info":"compute binary expreesion, left_input=4178, right_input=8228, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=16030","layer":3},{"info":"number node, value=1999","layer":4},{"info":"number node, value=2748","layer":4},{"info":"compute binary expreesion, left_input=1999, right_input=2748, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5496","layer":3},{"info":"compute binary expreesion, left_input=16030, right_input=5496, 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=1266","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=1574, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4722","layer":3},{"info":"number node, value=1847","layer":4},{"info":"number node, value=2369","layer":4},{"info":"compute binary expreesion, left_input=1847, right_input=2369, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-522","layer":3},{"info":"compute binary expreesion, left_input=-4722, right_input=-522, 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=-4722","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4722, 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 = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=460369","layer":0}],"base":5,"result_base":5,"text":"⫶⊄≣((⇑⪆113203⊾⪯⋞⇑⪆230403)≳⇉⇑⪆30444⇷⇑⪆41443⨵⪆(⇑⪆20031↙⇑⪆22244)⩇∃⫛(⇑⪆24342-⇑⪆33434))=⇑⪆104212434","reverse_text":"⇑⪆104212434=⫶⊄≣((⇑⪆113203⊾⪯⋞⇑⪆230403)≳⇉⇑⪆30444⇷⇑⪆41443⨵⪆(⇑⪆20031↙⇑⪆22244)⩇∃⫛(⇑⪆24342-⇑⪆33434))","cot":[{"info":"⇑⪆113203⊾⪯⋞⇑⪆230403=⇑⪆1003110","layer":3},{"info":"⇑⪆30444⇷⇑⪆41443=⇑⪆133441","layer":3},{"info":"⇑⪆1003110≳⇉⇑⪆133441=NaN","layer":2},{"info":"⇑⪆20031↙⇑⪆22244=⇑⪆-122342","layer":3},{"info":"⇑⪆24342-⇑⪆33434=⇑⪆-4042","layer":3},{"info":"⇑⪆-122342⩇∃⫛⇑⪆-4042=⇑⪆-122342","layer":2},{"info":"NaN⨵⪆⇑⪆-122342=⇑⪆1120","layer":1},{"info":"⫶⊄≣⇑⪆1120=⇑⪆104212434","layer":0}]}
{"id":354,"expression_no_base_symbol":"(((⫟$1551$)≋⫹)⇼⇔∾(≑⋹$1254$)⪎↠(∡$5435$))↞⋁((($2836$⫸⇳$7114$)⊲⩕⊾($2098$⪨⊡$4748$))⨚($1472$∋$2113$⪛⫼($1092$*$1510$)))","expression":"(((⫟⇑⪆22201)≋⫹)⇼⇔∾(≑⋹⇑⪆20004)⪎↠(∡⇑⪆133220))↞⋁(((⇑⪆42321⫸⇳⇑⪆211424)⊲⩕⊾(⇑⪆31343⪨⊡⇑⪆122443))⨚(⇑⪆21342∋⇑⪆31423⪛⫼(⇑⪆13332*⇑⪆22020)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":87984,"operation_count":14,"complexity_ratio":6284.571428571428,"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":1551,"base":5}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1254,"base":5}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":5435,"base":5}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2836,"base":5},"right_expr":{"type":"numeric_atoms","value":7114,"base":5}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2098,"base":5},"right_expr":{"type":"numeric_atoms","value":4748,"base":5}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1472,"base":5},"right_expr":{"type":"numeric_atoms","value":2113,"base":5}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1092,"base":5},"right_expr":{"type":"numeric_atoms","value":1510,"base":5}}}}},"used_operators":["RqrPlJkxDo","tifHPKVTfV","N41Kp7NANJ","z4E1FaHLuy","3tVxb0NHM4","6B9nyZLogK","pRsWfj4Fpp","nREPSIbpBE","DmTXOeWf9t","gx7XJ7hdpj","kuIXHzHcAH","hyuBjUqXlG","ukq6epAj5P","9HNa5Wba9A"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","BjRHVeLaeN","12rbrZMWeM","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1551","layer":4},{"info":"compute unary expreesion, input=1551, 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=-3746","layer":3},{"info":"compute unary expreesion, input=-3746, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=7492","layer":2},{"info":"number node, value=1254","layer":4},{"info":"compute unary expreesion, input=1254, 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=5435","layer":4},{"info":"compute unary expreesion, input=5435, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-5435","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-5435, 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=7492, right_input=160, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-7332","layer":1},{"info":"number node, value=2836","layer":4},{"info":"number node, value=7114","layer":4},{"info":"compute binary expreesion, left_input=2836, right_input=7114, 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=2098","layer":4},{"info":"number node, value=4748","layer":4},{"info":"compute binary expreesion, left_input=2098, right_input=4748, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=8530","layer":2},{"info":"number node, value=1472","layer":4},{"info":"number node, value=2113","layer":4},{"info":"compute binary expreesion, left_input=1472, right_input=2113, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4401008","layer":3},{"info":"number node, value=1092","layer":4},{"info":"number node, value=1510","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=1510, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1648920","layer":3},{"info":"compute binary expreesion, left_input=4401008, right_input=1648920, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=8530, right_input=968, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=14122","layer":1},{"info":"compute binary expreesion, left_input=-7332, right_input=14122, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(((⫟⇑⪆22201)≋⫹)⇼⇔∾(≑⋹⇑⪆20004)⪎↠(∡⇑⪆133220))↞⋁(((⇑⪆42321⫸⇳⇑⪆211424)⊲⩕⊾(⇑⪆31343⪨⊡⇑⪆122443))⨚(⇑⪆21342∋⇑⪆31423⪛⫼(⇑⪆13332*⇑⪆22020)))=NaN","reverse_text":"NaN=(((⫟⇑⪆22201)≋⫹)⇼⇔∾(≑⋹⇑⪆20004)⪎↠(∡⇑⪆133220))↞⋁(((⇑⪆42321⫸⇳⇑⪆211424)⊲⩕⊾(⇑⪆31343⪨⊡⇑⪆122443))⨚(⇑⪆21342∋⇑⪆31423⪛⫼(⇑⪆13332*⇑⪆22020)))","cot":[{"info":"⫟⇑⪆22201=⇑⪆-104441","layer":3},{"info":"⇑⪆-104441≋⫹=⇑⪆214432","layer":2},{"info":"≑⋹⇑⪆20004=⇑⪆23100","layer":3},{"info":"∡⇑⪆133220=⇑⪆-133220","layer":3},{"info":"⇑⪆23100⪎↠⇑⪆-133220=⇑⪆1120","layer":2},{"info":"⇑⪆214432⇼⇔∾⇑⪆1120=⇑⪆-213312","layer":1},{"info":"⇑⪆42321⫸⇳⇑⪆211424=⇑⪆0","layer":3},{"info":"⇑⪆31343⪨⊡⇑⪆122443=⇑⪆0","layer":3},{"info":"⇑⪆0⊲⩕⊾⇑⪆0=⇑⪆233110","layer":2},{"info":"⇑⪆21342∋⇑⪆31423=⇑⪆2111313013","layer":3},{"info":"⇑⪆13332*⇑⪆22020=⇑⪆410231140","layer":3},{"info":"⇑⪆2111313013⪛⫼⇑⪆410231140=⇑⪆12333","layer":2},{"info":"⇑⪆233110⨚⇑⪆12333=⇑⪆422442","layer":1},{"info":"⇑⪆-213312↞⋁⇑⪆422442=NaN","layer":0}]}
{"id":355,"expression_no_base_symbol":"($1857$⪔⊥$5465$∷$2859$⋹⋡⊁$5621$)≁((∤$1247$)∋($3023$⩺⪪$4546$))⋭≵((⨵≀≌$6666$)⇂≾⫗($7228$⇄$1169$))⫗⊷⫓(⇖⫷⫕($1157$⊍⩺⋍$1563$))","expression":"(⇑⪆24412⪔⊥⇑⪆133330∷⇑⪆42414⋹⋡⊁⇑⪆134441)≁((∤⇑⪆14442)∋(⇑⪆44043⩺⪪⇑⪆121141))⋭≵((⨵≀≌⇑⪆203131)⇂≾⫗(⇑⪆212403⇄⇑⪆14134))⫗⊷⫓(⇖⫷⫕(⇑⪆14112⊍⩺⋍⇑⪆22223))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":151611,"operation_count":14,"complexity_ratio":10829.357142857143,"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":1857,"base":5},"right_expr":{"type":"numeric_atoms","value":5465,"base":5}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2859,"base":5},"right_expr":{"type":"numeric_atoms","value":5621,"base":5}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1247,"base":5}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3023,"base":5},"right_expr":{"type":"numeric_atoms","value":4546,"base":5}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":6666,"base":5}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":7228,"base":5},"right_expr":{"type":"numeric_atoms","value":1169,"base":5}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1157,"base":5},"right_expr":{"type":"numeric_atoms","value":1563,"base":5}}}}},"used_operators":["jBncVCNhdl","8N2wDY1A35","D3AQDKkPcf","HJ9erzHUuu","As8RqfVLgs","ukq6epAj5P","k2HlF1dBQh","uvdQJvN4PV","zashukvMKz","aBQ6xLxuTc","srAu1WTS94","3EYGwJThht","UHmRx3INFg","OXDGMFPWZM"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9FxExcQeMw","NTOWxs364D","7j4O788W3g","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"⇑⪆232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1857","layer":4},{"info":"number node, value=5465","layer":4},{"info":"compute binary expreesion, left_input=1857, right_input=5465, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-3701","layer":3},{"info":"number node, value=2859","layer":4},{"info":"number node, value=5621","layer":4},{"info":"compute binary expreesion, left_input=2859, right_input=5621, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=6371","layer":3},{"info":"compute binary expreesion, left_input=-3701, right_input=6371, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=6371","layer":2},{"info":"number node, value=1247","layer":4},{"info":"compute unary expreesion, input=1247, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=3023","layer":4},{"info":"number node, value=4546","layer":4},{"info":"compute binary expreesion, left_input=3023, right_input=4546, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=-1818, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-54660","layer":2},{"info":"compute binary expreesion, left_input=6371, right_input=-54660, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-1540969","layer":1},{"info":"number node, value=6666","layer":4},{"info":"compute unary expreesion, input=6666, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-19998","layer":3},{"info":"number node, value=7228","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=7228, right_input=1169, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-19998, right_input=0, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"number node, value=1157","layer":4},{"info":"number node, value=1563","layer":4},{"info":"compute binary expreesion, left_input=1157, right_input=1563, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-676, 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":1},{"info":"compute binary expreesion, left_input=-1540969, right_input=-134, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆24412⪔⊥⇑⪆133330∷⇑⪆42414⋹⋡⊁⇑⪆134441)≁((∤⇑⪆14442)∋(⇑⪆44043⩺⪪⇑⪆121141))⋭≵((⨵≀≌⇑⪆203131)⇂≾⫗(⇑⪆212403⇄⇑⪆14134))⫗⊷⫓(⇖⫷⫕(⇑⪆14112⊍⩺⋍⇑⪆22223))=⇑⪆232","reverse_text":"⇑⪆232=(⇑⪆24412⪔⊥⇑⪆133330∷⇑⪆42414⋹⋡⊁⇑⪆134441)≁((∤⇑⪆14442)∋(⇑⪆44043⩺⪪⇑⪆121141))⋭≵((⨵≀≌⇑⪆203131)⇂≾⫗(⇑⪆212403⇄⇑⪆14134))⫗⊷⫓(⇖⫷⫕(⇑⪆14112⊍⩺⋍⇑⪆22223))","cot":[{"info":"⇑⪆24412⪔⊥⇑⪆133330=⇑⪆-104301","layer":3},{"info":"⇑⪆42414⋹⋡⊁⇑⪆134441=⇑⪆200441","layer":3},{"info":"⇑⪆-104301∷⇑⪆200441=⇑⪆200441","layer":2},{"info":"∤⇑⪆14442=⇑⪆14","layer":3},{"info":"⇑⪆44043⩺⪪⇑⪆121141=⇑⪆-24233","layer":3},{"info":"⇑⪆14∋⇑⪆-24233=⇑⪆-3222120","layer":2},{"info":"⇑⪆200441≁⇑⪆-3222120=⇑⪆-343302334","layer":1},{"info":"⨵≀≌⇑⪆203131=⇑⪆-1114443","layer":3},{"info":"⇑⪆212403⇄⇑⪆14134=⇑⪆0","layer":3},{"info":"⇑⪆-1114443⇂≾⫗⇑⪆0=⇑⪆-10201","layer":2},{"info":"⇑⪆14112⊍⩺⋍⇑⪆22223=NaN","layer":3},{"info":"⇖⫷⫕NaN=⇑⪆42242","layer":2},{"info":"⇑⪆-10201⫗⊷⫓⇑⪆42242=⇑⪆-1014","layer":1},{"info":"⇑⪆-343302334⋭≵⇑⪆-1014=⇑⪆232","layer":0}]}
{"id":356,"expression_no_base_symbol":"($4536$∣$4098$⋅⇍$2550$⫯⪬∳$8238$↸(⨝⨆$1312$)≎⊠⪸$1231$≧⫂∧$5130$)⨎((↩$3172$)⋹)⪚(($5769$↓⨍⋜)⊔(⨡↴$3331$))","expression":"(⇑⪆121121∣⇑⪆112343⋅⇍⇑⪆40200⫯⪬∳⇑⪆230423↸(⨝⨆⇑⪆20222)≎⊠⪸⇑⪆14411≧⫂∧⇑⪆131010)⨎((↩⇑⪆100142)⋹)⪚((⇑⪆141034↓⨍⋜)⊔(⨡↴⇑⪆101311))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":703,"operation_count":14,"complexity_ratio":50.214285714285715,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4536,"base":5},"right_expr":{"type":"numeric_atoms","value":4098,"base":5}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2550,"base":5},"right_expr":{"type":"numeric_atoms","value":8238,"base":5}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1312,"base":5}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1231,"base":5},"right_expr":{"type":"numeric_atoms","value":5130,"base":5}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3172,"base":5}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":5769,"base":5}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":3331,"base":5}}}}},"used_operators":["rJVOvQCfKK","1eCjFl0mb9","AdZkA7nFnk","PPChnnnBFF","d7ASUq0ydm","bJkvcejdHO","bQ67fsrMVf","Ph9nP6C5qx","HrjLwUk87U","opAxDRczMr","jLgFTUHLKL","E4l6HwMY31","3DVzLFNsE9","liw5iZPkLH"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","W4YGzv6Whe","P8v4zCKN1o"],"result":"⇑⪆-4101011","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4536","layer":4},{"info":"number node, value=4098","layer":4},{"info":"compute binary expreesion, left_input=4536, right_input=4098, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4536","layer":3},{"info":"number node, value=2550","layer":4},{"info":"number node, value=8238","layer":4},{"info":"compute binary expreesion, left_input=2550, right_input=8238, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=4545","layer":3},{"info":"compute binary expreesion, left_input=4536, right_input=4545, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=1312","layer":4},{"info":"compute unary expreesion, input=1312, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1103","layer":3},{"info":"number node, value=1231","layer":4},{"info":"number node, value=5130","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=5130, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4657","layer":3},{"info":"compute binary expreesion, left_input=1103, right_input=4657, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=285204","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=285204, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-22","layer":1},{"info":"number node, value=3172","layer":4},{"info":"compute unary expreesion, input=3172, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-22596","layer":3},{"info":"compute unary expreesion, input=-22596, 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=5769","layer":4},{"info":"compute unary expreesion, input=5769, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"number node, value=3331","layer":4},{"info":"compute unary expreesion, input=3331, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=4380","layer":3},{"info":"compute binary expreesion, left_input=6590, right_input=4380, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=32680","layer":2},{"info":"compute binary expreesion, left_input=-20, right_input=32680, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-65756","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=-65756, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-65756","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆121121∣⇑⪆112343⋅⇍⇑⪆40200⫯⪬∳⇑⪆230423↸(⨝⨆⇑⪆20222)≎⊠⪸⇑⪆14411≧⫂∧⇑⪆131010)⨎((↩⇑⪆100142)⋹)⪚((⇑⪆141034↓⨍⋜)⊔(⨡↴⇑⪆101311))=⇑⪆-4101011","reverse_text":"⇑⪆-4101011=(⇑⪆121121∣⇑⪆112343⋅⇍⇑⪆40200⫯⪬∳⇑⪆230423↸(⨝⨆⇑⪆20222)≎⊠⪸⇑⪆14411≧⫂∧⇑⪆131010)⨎((↩⇑⪆100142)⋹)⪚((⇑⪆141034↓⨍⋜)⊔(⨡↴⇑⪆101311))","cot":[{"info":"⇑⪆121121∣⇑⪆112343=⇑⪆121121","layer":3},{"info":"⇑⪆40200⫯⪬∳⇑⪆230423=⇑⪆121140","layer":3},{"info":"⇑⪆121121⋅⇍⇑⪆121140=⇑⪆-42","layer":2},{"info":"⨝⨆⇑⪆20222=⇑⪆13403","layer":3},{"info":"⇑⪆14411≧⫂∧⇑⪆131010=⇑⪆122112","layer":3},{"info":"⇑⪆13403≎⊠⪸⇑⪆122112=⇑⪆33111304","layer":2},{"info":"⇑⪆-42↸⇑⪆33111304=⇑⪆-42","layer":1},{"info":"↩⇑⪆100142=⇑⪆-1210341","layer":3},{"info":"⇑⪆-1210341⋹=⇑⪆-40","layer":2},{"info":"⇑⪆141034↓⨍⋜=⇑⪆202330","layer":3},{"info":"⨡↴⇑⪆101311=⇑⪆120010","layer":3},{"info":"⇑⪆202330⊔⇑⪆120010=⇑⪆2021210","layer":2},{"info":"⇑⪆-40⪚⇑⪆2021210=⇑⪆-4101011","layer":1},{"info":"⇑⪆-42⨎⇑⪆-4101011=⇑⪆-4101011","layer":0}]}
{"id":357,"expression_no_base_symbol":"($1712$⨵⪆$3396$)↹⊜(⨵$4248$)⊔($1731$⨽$5626$)∘($1073$⨵⪆$6148$)⨭⪣(⫇($1243$⋓$2179$))⊬⨰(($3569$⊭↱$3926$)⪔($4475$⪒$3402$))","expression":"(⇑⪆23322⨵⪆⇑⪆102041)↹⊜(⨵⇑⪆113443)⊔(⇑⪆23411⨽⇑⪆140001)∘(⇑⪆13243⨵⪆⇑⪆144043)⨭⪣(⫇(⇑⪆14433⋓⇑⪆32204))⊬⨰((⇑⪆103234⊭↱⇑⪆111201)⪔(⇑⪆120400⪒⇑⪆102102))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":9863,"operation_count":14,"complexity_ratio":704.5,"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":1712,"base":5},"right_expr":{"type":"numeric_atoms","value":3396,"base":5}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":4248,"base":5}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1731,"base":5},"right_expr":{"type":"numeric_atoms","value":5626,"base":5}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1073,"base":5},"right_expr":{"type":"numeric_atoms","value":6148,"base":5}}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1243,"base":5},"right_expr":{"type":"numeric_atoms","value":2179,"base":5}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3569,"base":5},"right_expr":{"type":"numeric_atoms","value":3926,"base":5}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4475,"base":5},"right_expr":{"type":"numeric_atoms","value":3402,"base":5}}}}},"used_operators":["kn8WO9XteQ","E4l6HwMY31","9bazX3JMtO","2DQ55sFlQl","Tl3Y52tvF8","Z5m6OM72h2","8HhzD0ZcuI","s3Fd5m9Dh2","YjI8oCXuph","T2fj7uvVaJ","GjBEYRfMaF","COABgblf1C","f6k1SAg4EE"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","eH2TOUuTDT","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆43132144402","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1712","layer":4},{"info":"number node, value=3396","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=3396, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4248","layer":4},{"info":"compute unary expreesion, input=4248, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-35193","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-35193, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=281448","layer":2},{"info":"number node, value=1731","layer":4},{"info":"number node, value=5626","layer":4},{"info":"compute binary expreesion, left_input=1731, right_input=5626, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9004647","layer":3},{"info":"number node, value=1073","layer":4},{"info":"number node, value=6148","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=6148, 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=-9004647, right_input=160, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=9005027","layer":2},{"info":"compute binary expreesion, left_input=281448, right_input=9005027, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=45585631","layer":1},{"info":"number node, value=1243","layer":4},{"info":"number node, value=2179","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=2179, 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 = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=946","layer":2},{"info":"number node, value=3569","layer":4},{"info":"number node, value=3926","layer":4},{"info":"compute binary expreesion, left_input=3569, right_input=3926, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=719","layer":3},{"info":"number node, value=4475","layer":4},{"info":"number node, value=3402","layer":4},{"info":"compute binary expreesion, left_input=4475, right_input=3402, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7877","layer":3},{"info":"compute binary expreesion, left_input=719, right_input=-7877, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=182","layer":2},{"info":"compute binary expreesion, left_input=946, right_input=182, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=618","layer":1},{"info":"compute binary expreesion, left_input=45585631, right_input=618, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=45584352","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆23322⨵⪆⇑⪆102041)↹⊜(⨵⇑⪆113443)⊔(⇑⪆23411⨽⇑⪆140001)∘(⇑⪆13243⨵⪆⇑⪆144043)⨭⪣(⫇(⇑⪆14433⋓⇑⪆32204))⊬⨰((⇑⪆103234⊭↱⇑⪆111201)⪔(⇑⪆120400⪒⇑⪆102102))=⇑⪆43132144402","reverse_text":"⇑⪆43132144402=(⇑⪆23322⨵⪆⇑⪆102041)↹⊜(⨵⇑⪆113443)⊔(⇑⪆23411⨽⇑⪆140001)∘(⇑⪆13243⨵⪆⇑⪆144043)⨭⪣(⫇(⇑⪆14433⋓⇑⪆32204))⊬⨰((⇑⪆103234⊭↱⇑⪆111201)⪔(⇑⪆120400⪒⇑⪆102102))","cot":[{"info":"⇑⪆23322⨵⪆⇑⪆102041=⇑⪆1120","layer":3},{"info":"⨵⇑⪆113443=⇑⪆-2111233","layer":3},{"info":"⇑⪆1120↹⊜⇑⪆-2111233=⇑⪆33001243","layer":2},{"info":"⇑⪆23411⨽⇑⪆140001=⇑⪆-4301122042","layer":3},{"info":"⇑⪆13243⨵⪆⇑⪆144043=⇑⪆1120","layer":3},{"info":"⇑⪆-4301122042∘⇑⪆1120=⇑⪆4301130102","layer":2},{"info":"⇑⪆33001243⊔⇑⪆4301130102=⇑⪆43132220011","layer":1},{"info":"⇑⪆14433⋓⇑⪆32204=⇑⪆0","layer":3},{"info":"⫇⇑⪆0=⇑⪆12241","layer":2},{"info":"⇑⪆103234⊭↱⇑⪆111201=⇑⪆10334","layer":3},{"info":"⇑⪆120400⪒⇑⪆102102=⇑⪆-223002","layer":3},{"info":"⇑⪆10334⪔⇑⪆-223002=⇑⪆1212","layer":2},{"info":"⇑⪆12241⊬⨰⇑⪆1212=⇑⪆4433","layer":1},{"info":"⇑⪆43132220011⨭⪣⇑⪆4433=⇑⪆43132144402","layer":0}]}
{"id":358,"expression_no_base_symbol":"(⊄⩳↩($5501$⫻⋑⊟))⨓($5861$⨓$2616$)⩦$4423$⪃⊛⇣$5632$⪁(⇨$3162$)⨐($4530$⩣⫁∢$7038$)∠⫱(↴⪽⋼$3992$)⩍⋽⫝̸($1061$↱$5001$)","expression":"(⊄⩳↩(⇑⪆134001⫻⋑⊟))⨓(⇑⪆141421⨓⇑⪆40431)⩦⇑⪆120143⪃⊛⇣⇑⪆140012⪁(⇨⇑⪆100122)⨐(⇑⪆121110⩣⫁∢⇑⪆211123)∠⫱(↴⪽⋼⇑⪆111432)⩍⋽⫝̸(⇑⪆13221↱⇑⪆130001)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":27681030,"operation_count":14,"complexity_ratio":1977216.4285714286,"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":5501,"base":5}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5861,"base":5},"right_expr":{"type":"numeric_atoms","value":2616,"base":5}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":4423,"base":5},"right_expr":{"type":"numeric_atoms","value":5632,"base":5}}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":3162,"base":5}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":4530,"base":5},"right_expr":{"type":"numeric_atoms","value":7038,"base":5}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":3992,"base":5}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1061,"base":5},"right_expr":{"type":"numeric_atoms","value":5001,"base":5}}}}},"used_operators":["I7sXao9hZE","3ViojmjbAp","8w2t5hMYqp","o575Zjdmzy","0kmYd0q39Y","rrgAzCduG9","QvoQhV0rrE","Noe24qw2ks","G9tJMlZ94a","JDUIKTTSIa","BiWNJpBvwn","5TUYCnJO6w","SR5kFfdi6N"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","k8jYdgA6NY","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Ph9nP6C5qx","xUOZtlo3hN","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5501","layer":4},{"info":"compute unary expreesion, input=5501, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-10492","layer":3},{"info":"compute unary expreesion, input=-10492, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=31476","layer":2},{"info":"number node, value=5861","layer":4},{"info":"number node, value=2616","layer":4},{"info":"compute binary expreesion, left_input=5861, right_input=2616, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2619","layer":3},{"info":"number node, value=4423","layer":4},{"info":"number node, value=5632","layer":4},{"info":"compute binary expreesion, left_input=4423, right_input=5632, 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=-2619, right_input=1234, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-32089","layer":2},{"info":"compute binary expreesion, left_input=31476, right_input=-32089, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-32092","layer":1},{"info":"number node, value=3162","layer":4},{"info":"compute unary expreesion, input=3162, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=4530","layer":4},{"info":"number node, value=7038","layer":4},{"info":"compute binary expreesion, left_input=4530, right_input=7038, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-8899","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8899, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=0","layer":2},{"info":"number node, value=3992","layer":4},{"info":"compute unary expreesion, input=3992, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=3992","layer":3},{"info":"number node, value=1061","layer":4},{"info":"number node, value=5001","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=5001, 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=-14481","layer":3},{"info":"compute binary expreesion, left_input=3992, right_input=-14481, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=18000","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=18000, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=-32092, right_input=1234, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⊄⩳↩(⇑⪆134001⫻⋑⊟))⨓(⇑⪆141421⨓⇑⪆40431)⩦⇑⪆120143⪃⊛⇣⇑⪆140012⪁(⇨⇑⪆100122)⨐(⇑⪆121110⩣⫁∢⇑⪆211123)∠⫱(↴⪽⋼⇑⪆111432)⩍⋽⫝̸(⇑⪆13221↱⇑⪆130001)=NaN","reverse_text":"NaN=(⊄⩳↩(⇑⪆134001⫻⋑⊟))⨓(⇑⪆141421⨓⇑⪆40431)⩦⇑⪆120143⪃⊛⇣⇑⪆140012⪁(⇨⇑⪆100122)⨐(⇑⪆121110⩣⫁∢⇑⪆211123)∠⫱(↴⪽⋼⇑⪆111432)⩍⋽⫝̸(⇑⪆13221↱⇑⪆130001)","cot":[{"info":"⇑⪆134001⫻⋑⊟=⇑⪆-313432","layer":3},{"info":"⊄⩳↩⇑⪆-313432=⇑⪆2001401","layer":2},{"info":"⇑⪆141421⨓⇑⪆40431=⇑⪆-40434","layer":3},{"info":"⇑⪆120143⪃⊛⇣⇑⪆140012=⇑⪆14414","layer":3},{"info":"⇑⪆-40434⩦⇑⪆14414=⇑⪆-2011324","layer":2},{"info":"⇑⪆2001401⨓⇑⪆-2011324=⇑⪆-2011332","layer":1},{"info":"⇨⇑⪆100122=⇑⪆0","layer":3},{"info":"⇑⪆121110⩣⫁∢⇑⪆211123=⇑⪆-241044","layer":3},{"info":"⇑⪆0⨐⇑⪆-241044=⇑⪆0","layer":2},{"info":"↴⪽⋼⇑⪆111432=⇑⪆111432","layer":3},{"info":"⇑⪆13221↱⇑⪆130001=⇑⪆-430411","layer":3},{"info":"⇑⪆111432⩍⋽⫝̸⇑⪆-430411=⇑⪆1034000","layer":2},{"info":"⇑⪆0∠⫱⇑⪆1034000=⇑⪆14414","layer":1},{"info":"⇑⪆-2011332⪁⇑⪆14414=NaN","layer":0}]}
{"id":359,"expression_no_base_symbol":"⪡⇡≛(($4093$⨻⩈⩔$4655$)⪚$2581$⩦$4954$∠↢(↨$3308$)⪶≀⋏($2472$≃$4362$))","expression":"⪡⇡≛((⇑⪆112333⨻⩈⩔⇑⪆122110)⪚⇑⪆40311⩦⇑⪆124304∠↢(↨⇑⪆101213)⪶≀⋏(⇑⪆34342≃⇑⪆114422))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":381,"operation_count":8,"complexity_ratio":47.625,"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":4093,"base":5},"right_expr":{"type":"numeric_atoms","value":4655,"base":5}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2581,"base":5},"right_expr":{"type":"numeric_atoms","value":4954,"base":5}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":3308,"base":5}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2472,"base":5},"right_expr":{"type":"numeric_atoms","value":4362,"base":5}}}}},"used_operators":["qL4PrbW1Dq","KbjG8mgYpV","HrjLwUk87U","nEsXyWgiOK","0kmYd0q39Y","zR4jO40bMj","jiX4gk2v2Q","YbVcJGFEVW"],"dependent_operators":["oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rGHVDoGpnC","oZj3VtZNQx","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4093","layer":4},{"info":"number node, value=4655","layer":4},{"info":"compute binary expreesion, left_input=4093, right_input=4655, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=24343","layer":3},{"info":"number node, value=2581","layer":4},{"info":"number node, value=4954","layer":4},{"info":"compute binary expreesion, left_input=2581, right_input=4954, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=5162","layer":3},{"info":"compute binary expreesion, left_input=24343, right_input=5162, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=38006","layer":2},{"info":"number node, value=3308","layer":4},{"info":"compute unary expreesion, input=3308, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"number node, value=2472","layer":4},{"info":"number node, value=4362","layer":4},{"info":"compute binary expreesion, left_input=2472, right_input=4362, 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=-9928","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9928, 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=38006, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⪡⇡≛((⇑⪆112333⨻⩈⩔⇑⪆122110)⪚⇑⪆40311⩦⇑⪆124304∠↢(↨⇑⪆101213)⪶≀⋏(⇑⪆34342≃⇑⪆114422))=NaN","reverse_text":"NaN=⪡⇡≛((⇑⪆112333⨻⩈⩔⇑⪆122110)⪚⇑⪆40311⩦⇑⪆124304∠↢(↨⇑⪆101213)⪶≀⋏(⇑⪆34342≃⇑⪆114422))","cot":[{"info":"⇑⪆112333⨻⩈⩔⇑⪆122110=⇑⪆1234333","layer":3},{"info":"⇑⪆40311⩦⇑⪆124304=⇑⪆131122","layer":3},{"info":"⇑⪆1234333⪚⇑⪆131122=⇑⪆2204011","layer":2},{"info":"↨⇑⪆101213=NaN","layer":3},{"info":"⇑⪆34342≃⇑⪆114422=⇑⪆-304203","layer":3},{"info":"NaN⪶≀⋏⇑⪆-304203=NaN","layer":2},{"info":"⇑⪆2204011∠↢NaN=NaN","layer":1},{"info":"⪡⇡≛NaN=NaN","layer":0}]}
{"id":360,"expression_no_base_symbol":"($3456$⩌⋺$5371$)⨿($6123$⫦⪉$8473$)⊲⩕⊾((⫶⊄≣$1123$)⫸⇳$4215$⪎↠$3402$)∑⇟⊟((⪸$8739$)∙⊟$5315$⩌⋺$1244$)⊢($2484$⩵∡$2513$⊓⋫)","expression":"(⇑⪆102311⩌⋺⇑⪆132441)⨿(⇑⪆143443⫦⪉⇑⪆232343)⊲⩕⊾((⫶⊄≣⇑⪆13443)⫸⇳⇑⪆113330⪎↠⇑⪆102102)∑⇟⊟((⪸⇑⪆234424)∙⊟⇑⪆132230⩌⋺⇑⪆14434)⊢(⇑⪆34414⩵∡⇑⪆40023⊓⋫)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":176983,"operation_count":14,"complexity_ratio":12641.642857142857,"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":3456,"base":5},"right_expr":{"type":"numeric_atoms","value":5371,"base":5}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":6123,"base":5},"right_expr":{"type":"numeric_atoms","value":8473,"base":5}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1123,"base":5}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":4215,"base":5},"right_expr":{"type":"numeric_atoms","value":3402,"base":5}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":8739,"base":5}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":5315,"base":5},"right_expr":{"type":"numeric_atoms","value":1244,"base":5}}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2484,"base":5},"right_expr":{"type":"numeric_atoms","value":2513,"base":5}}}}},"used_operators":["U7g4x0WXJJ","DmTXOeWf9t","abYXlopdE0","g7Hmc5v1ko","wscyQdcy20","gx7XJ7hdpj","wxb3vTeyAj","3tVxb0NHM4","5twsqlHp2o","SxTAKzQCrw","86A5ENbKR9","IqGBaFP0uj","Y7wcNGrDQJ"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3456","layer":4},{"info":"number node, value=5371","layer":4},{"info":"compute binary expreesion, left_input=3456, right_input=5371, 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=-8948","layer":3},{"info":"number node, value=6123","layer":4},{"info":"number node, value=8473","layer":4},{"info":"compute binary expreesion, left_input=6123, right_input=8473, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-7346","layer":3},{"info":"compute binary expreesion, left_input=-8948, right_input=-7346, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=1123","layer":4},{"info":"compute unary expreesion, input=1123, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=22717225","layer":3},{"info":"number node, value=4215","layer":4},{"info":"number node, value=3402","layer":4},{"info":"compute binary expreesion, left_input=4215, right_input=3402, 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=22717225, right_input=160, 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=67, right_input=0, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=7458","layer":1},{"info":"number node, value=8739","layer":4},{"info":"compute unary expreesion, input=8739, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-148354","layer":3},{"info":"number node, value=5315","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=5315, right_input=1244, 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=-6680","layer":3},{"info":"compute binary expreesion, left_input=-148354, right_input=-6680, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=1944346","layer":2},{"info":"number node, value=2484","layer":4},{"info":"number node, value=2513","layer":4},{"info":"compute binary expreesion, left_input=2484, right_input=2513, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-2576","layer":3},{"info":"compute unary expreesion, input=-2576, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=2448","layer":2},{"info":"compute binary expreesion, left_input=1944346, right_input=2448, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3888936","layer":1},{"info":"compute binary expreesion, left_input=7458, right_input=-3888936, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆102311⩌⋺⇑⪆132441)⨿(⇑⪆143443⫦⪉⇑⪆232343)⊲⩕⊾((⫶⊄≣⇑⪆13443)⫸⇳⇑⪆113330⪎↠⇑⪆102102)∑⇟⊟((⪸⇑⪆234424)∙⊟⇑⪆132230⩌⋺⇑⪆14434)⊢(⇑⪆34414⩵∡⇑⪆40023⊓⋫)=NaN","reverse_text":"NaN=(⇑⪆102311⩌⋺⇑⪆132441)⨿(⇑⪆143443⫦⪉⇑⪆232343)⊲⩕⊾((⫶⊄≣⇑⪆13443)⫸⇳⇑⪆113330⪎↠⇑⪆102102)∑⇟⊟((⪸⇑⪆234424)∙⊟⇑⪆132230⩌⋺⇑⪆14434)⊢(⇑⪆34414⩵∡⇑⪆40023⊓⋫)","cot":[{"info":"⇑⪆102311⩌⋺⇑⪆132441=⇑⪆-241243","layer":3},{"info":"⇑⪆143443⫦⪉⇑⪆232343=⇑⪆-213341","layer":3},{"info":"⇑⪆-241243⨿⇑⪆-213341=⇑⪆232","layer":2},{"info":"⫶⊄≣⇑⪆13443=⇑⪆21303422400","layer":3},{"info":"⇑⪆113330⪎↠⇑⪆102102=⇑⪆1120","layer":3},{"info":"⇑⪆21303422400⫸⇳⇑⪆1120=⇑⪆0","layer":2},{"info":"⇑⪆232⊲⩕⊾⇑⪆0=⇑⪆214313","layer":1},{"info":"⪸⇑⪆234424=⇑⪆-14221404","layer":3},{"info":"⇑⪆132230⩌⋺⇑⪆14434=⇑⪆-203210","layer":3},{"info":"⇑⪆-14221404∙⊟⇑⪆-203210=⇑⪆444204341","layer":2},{"info":"⇑⪆34414⩵∡⇑⪆40023=⇑⪆-40301","layer":3},{"info":"⇑⪆-40301⊓⋫=⇑⪆34243","layer":2},{"info":"⇑⪆444204341⊢⇑⪆34243=⇑⪆-1443421221","layer":1},{"info":"⇑⪆214313∑⇟⊟⇑⪆-1443421221=NaN","layer":0}]}
{"id":361,"expression_no_base_symbol":"⪁⇼($4535$∺≝⩲$5692$↓(↨⩢⫨$1811$)⨪↰⇹(⪛⨧($2897$⫒⫫$7806$)))","expression":"⪁⇼(⇑⪆121120∺≝⩲⇑⪆140232↓(↨⩢⫨⇑⪆24221)⨪↰⇹(⪛⨧(⇑⪆43042⫒⫫⇑⪆222211)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":618,"operation_count":7,"complexity_ratio":88.28571428571429,"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":4535,"base":5},"right_expr":{"type":"numeric_atoms","value":5692,"base":5}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":1811,"base":5}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2897,"base":5},"right_expr":{"type":"numeric_atoms","value":7806,"base":5}}}}},"used_operators":["ZNVVrZ94lY","tmPS8pqC7x","Af076pWI7l","KPf6cnQVty","Z5CJsN7DuW","6NJAcO2OWT","6Ko8hGgeMq"],"dependent_operators":["sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","rJVOvQCfKK","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"⇑⪆3142","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4535","layer":4},{"info":"number node, value=5692","layer":4},{"info":"compute binary expreesion, left_input=4535, right_input=5692, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1811","layer":4},{"info":"compute unary expreesion, input=1811, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-242","layer":2},{"info":"number node, value=2897","layer":4},{"info":"number node, value=7806","layer":4},{"info":"compute binary expreesion, left_input=2897, right_input=7806, 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 = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-242, 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=-242","layer":1},{"info":"compute unary expreesion, input=-242, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":0}],"base":5,"result_base":5,"text":"⪁⇼(⇑⪆121120∺≝⩲⇑⪆140232↓(↨⩢⫨⇑⪆24221)⨪↰⇹(⪛⨧(⇑⪆43042⫒⫫⇑⪆222211)))=⇑⪆3142","reverse_text":"⇑⪆3142=⪁⇼(⇑⪆121120∺≝⩲⇑⪆140232↓(↨⩢⫨⇑⪆24221)⨪↰⇹(⪛⨧(⇑⪆43042⫒⫫⇑⪆222211)))","cot":[{"info":"⇑⪆121120∺≝⩲⇑⪆140232=⇑⪆1120","layer":3},{"info":"↨⩢⫨⇑⪆24221=⇑⪆0","layer":3},{"info":"⇑⪆1120↓⇑⪆0=⇑⪆-1432","layer":2},{"info":"⇑⪆43042⫒⫫⇑⪆222211=NaN","layer":3},{"info":"⪛⨧NaN=NaN","layer":2},{"info":"⇑⪆-1432⨪↰⇹NaN=⇑⪆-1432","layer":1},{"info":"⪁⇼⇑⪆-1432=⇑⪆3142","layer":0}]}
{"id":362,"expression_no_base_symbol":"⇵⪽(⋼∭⪍((↩$2734$)⪄$2384$⪎↠$2174$))","expression":"⇵⪽(⋼∭⪍((↩⇑⪆41414)⪄⇑⪆34014⪎↠⇑⪆32144))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":131,"operation_count":5,"complexity_ratio":26.2,"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":2734,"base":5}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2384,"base":5},"right_expr":{"type":"numeric_atoms","value":2174,"base":5}}}}},"used_operators":["ZGCBLdVRRX","DbCuESL50I","SUmda5xLS4","jLgFTUHLKL","3tVxb0NHM4"],"dependent_operators":["U7g4x0WXJJ","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2734","layer":4},{"info":"compute unary expreesion, input=2734, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-19092","layer":3},{"info":"number node, value=2384","layer":4},{"info":"number node, value=2174","layer":4},{"info":"compute binary expreesion, left_input=2384, right_input=2174, 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=-19092, right_input=160, 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 = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-14176","layer":1},{"info":"compute unary expreesion, input=-14176, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⇵⪽(⋼∭⪍((↩⇑⪆41414)⪄⇑⪆34014⪎↠⇑⪆32144))=NaN","reverse_text":"NaN=⇵⪽(⋼∭⪍((↩⇑⪆41414)⪄⇑⪆34014⪎↠⇑⪆32144))","cot":[{"info":"↩⇑⪆41414=⇑⪆-1102332","layer":3},{"info":"⇑⪆34014⪎↠⇑⪆32144=⇑⪆1120","layer":3},{"info":"⇑⪆-1102332⪄⇑⪆1120=⇑⪆111404","layer":2},{"info":"⋼∭⪍⇑⪆111404=⇑⪆-423201","layer":1},{"info":"⇵⪽⇑⪆-423201=NaN","layer":0}]}
{"id":363,"expression_no_base_symbol":"(($1679$∊∟⩊$7695$⪔$6075$⪔⊥$4885$)⩼⇪↪((⊢≑≆$2820$)∛(⊈$1148$)))⩣⫁∢(≅≯⇸(⨈⫕$2434$)∥⊢⊲($2971$⪹))","expression":"((⇑⪆23204∊∟⩊⇑⪆221240⪔⇑⪆143300⪔⊥⇑⪆124020)⩼⇪↪((⊢≑≆⇑⪆42240)∛(⊈⇑⪆14043)))⩣⫁∢(≅≯⇸(⨈⫕⇑⪆34214)∥⊢⊲(⇑⪆43341⪹))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14965,"operation_count":12,"complexity_ratio":1247.0833333333333,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1679,"base":5},"right_expr":{"type":"numeric_atoms","value":7695,"base":5}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":6075,"base":5},"right_expr":{"type":"numeric_atoms","value":4885,"base":5}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":2820,"base":5}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1148,"base":5}}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2434,"base":5}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":2971,"base":5}}}}},"used_operators":["JDUIKTTSIa","ocnLzx9CaJ","GjBEYRfMaF","ddLRYrp01A","HJ9erzHUuu","w2537kitQq","27wFxooxGf","RHru8klgy8","apS25hmuAe","v1UQAVDJRr","megm06wKyl","B3sABdIn96"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","12rbrZMWeM","xUOZtlo3hN","EBcxylXtPf","QMFrweE19q","EBcxylXtPf","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9FxExcQeMw","e1ybzncUwg","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1679","layer":4},{"info":"number node, value=7695","layer":4},{"info":"compute binary expreesion, left_input=1679, right_input=7695, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=7695","layer":3},{"info":"number node, value=6075","layer":4},{"info":"number node, value=4885","layer":4},{"info":"compute binary expreesion, left_input=6075, right_input=4885, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=14331","layer":3},{"info":"compute binary expreesion, left_input=7695, right_input=14331, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=2820","layer":4},{"info":"compute unary expreesion, input=2820, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=11732","layer":3},{"info":"number node, value=1148","layer":4},{"info":"compute unary expreesion, input=1148, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1322","layer":3},{"info":"compute binary expreesion, left_input=11732, right_input=-1322, 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=450, right_input=67, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-352","layer":1},{"info":"number node, value=2434","layer":4},{"info":"compute unary expreesion, input=2434, 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=2971","layer":4},{"info":"compute unary expreesion, input=2971, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=10434","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=10434, 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 = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-352, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆23204∊∟⩊⇑⪆221240⪔⇑⪆143300⪔⊥⇑⪆124020)⩼⇪↪((⊢≑≆⇑⪆42240)∛(⊈⇑⪆14043)))⩣⫁∢(≅≯⇸(⨈⫕⇑⪆34214)∥⊢⊲(⇑⪆43341⪹))=NaN","reverse_text":"NaN=((⇑⪆23204∊∟⩊⇑⪆221240⪔⇑⪆143300⪔⊥⇑⪆124020)⩼⇪↪((⊢≑≆⇑⪆42240)∛(⊈⇑⪆14043)))⩣⫁∢(≅≯⇸(⨈⫕⇑⪆34214)∥⊢⊲(⇑⪆43341⪹))","cot":[{"info":"⇑⪆23204∊∟⩊⇑⪆221240=⇑⪆221240","layer":3},{"info":"⇑⪆143300⪔⊥⇑⪆124020=⇑⪆424311","layer":3},{"info":"⇑⪆221240⪔⇑⪆424311=⇑⪆3300","layer":2},{"info":"⊢≑≆⇑⪆42240=⇑⪆333412","layer":3},{"info":"⊈⇑⪆14043=⇑⪆-20242","layer":3},{"info":"⇑⪆333412∛⇑⪆-20242=⇑⪆232","layer":2},{"info":"⇑⪆3300⩼⇪↪⇑⪆232=⇑⪆-2402","layer":1},{"info":"⨈⫕⇑⪆34214=⇑⪆-41","layer":3},{"info":"⇑⪆43341⪹=⇑⪆313214","layer":3},{"info":"⇑⪆-41∥⊢⊲⇑⪆313214=NaN","layer":2},{"info":"≅≯⇸NaN=NaN","layer":1},{"info":"⇑⪆-2402⩣⫁∢NaN=NaN","layer":0}]}
{"id":364,"expression_no_base_symbol":"⇨(($2415$⇴∐$1055$)≌($4389$⊲⩕⊾$1625$)≳⇉$1019$⩼⇪↪$2161$⩇∃⫛($2786$⩎⪣⊞))","expression":"⇨((⇑⪆34130⇴∐⇑⪆13210)≌(⇑⪆120024⊲⩕⊾⇑⪆23000)≳⇉⇑⪆13034⩼⇪↪⇑⪆32121⩇∃⫛(⇑⪆42121⩎⪣⊞))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":139219,"operation_count":8,"complexity_ratio":17402.375,"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":2415,"base":5},"right_expr":{"type":"numeric_atoms","value":1055,"base":5}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4389,"base":5},"right_expr":{"type":"numeric_atoms","value":1625,"base":5}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1019,"base":5},"right_expr":{"type":"numeric_atoms","value":2161,"base":5}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":2786,"base":5}}}}},"used_operators":["G9tJMlZ94a","V0kx6qeWkN","lyWz822IDG","HnzytWxmAO","DmTXOeWf9t","1aApVXNlOP","ocnLzx9CaJ","waWucp1uQ4"],"dependent_operators":["k8jYdgA6NY","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2415","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=2415, right_input=1055, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=4389","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=4389, right_input=1625, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-83104","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-83104, 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=1019","layer":4},{"info":"number node, value=2161","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=2161, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-13872","layer":3},{"info":"number node, value=2786","layer":4},{"info":"compute unary expreesion, input=2786, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=5572","layer":3},{"info":"compute binary expreesion, left_input=-13872, right_input=5572, 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=-13872","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-13872, 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 = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⇨((⇑⪆34130⇴∐⇑⪆13210)≌(⇑⪆120024⊲⩕⊾⇑⪆23000)≳⇉⇑⪆13034⩼⇪↪⇑⪆32121⩇∃⫛(⇑⪆42121⩎⪣⊞))=NaN","reverse_text":"NaN=⇨((⇑⪆34130⇴∐⇑⪆13210)≌(⇑⪆120024⊲⩕⊾⇑⪆23000)≳⇉⇑⪆13034⩼⇪↪⇑⪆32121⩇∃⫛(⇑⪆42121⩎⪣⊞))","cot":[{"info":"⇑⪆34130⇴∐⇑⪆13210=NaN","layer":3},{"info":"⇑⪆120024⊲⩕⊾⇑⪆23000=⇑⪆-10124404","layer":3},{"info":"NaN≌⇑⪆-10124404=NaN","layer":2},{"info":"⇑⪆13034⩼⇪↪⇑⪆32121=⇑⪆-420442","layer":3},{"info":"⇑⪆42121⩎⪣⊞=⇑⪆134242","layer":3},{"info":"⇑⪆-420442⩇∃⫛⇑⪆134242=⇑⪆-420442","layer":2},{"info":"NaN≳⇉⇑⪆-420442=NaN","layer":1},{"info":"⇨NaN=NaN","layer":0}]}
{"id":365,"expression_no_base_symbol":"⨡↴(⨦⪝(($4695$⫩⊇)⪛⫼$2014$≦↸$1065$))","expression":"⨡↴(⨦⪝((⇑⪆122240⫩⊇)⪛⫼⇑⪆31024≦↸⇑⪆13230))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":239,"operation_count":5,"complexity_ratio":47.8,"tree":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4695,"base":5}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2014,"base":5},"right_expr":{"type":"numeric_atoms","value":1065,"base":5}}}}},"used_operators":["liw5iZPkLH","SUjycxNXIR","hyuBjUqXlG","BjRHVeLaeN","RygbFNSyEJ"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⇑⪆-210","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4695","layer":4},{"info":"compute unary expreesion, input=4695, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4653","layer":3},{"info":"number node, value=2014","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=2014, right_input=1065, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-5477","layer":3},{"info":"compute binary expreesion, left_input=-4653, right_input=-5477, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1705","layer":2},{"info":"compute unary expreesion, input=-1705, 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 = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=-55","layer":0}],"base":5,"result_base":5,"text":"⨡↴(⨦⪝((⇑⪆122240⫩⊇)⪛⫼⇑⪆31024≦↸⇑⪆13230))=⇑⪆-210","reverse_text":"⇑⪆-210=⨡↴(⨦⪝((⇑⪆122240⫩⊇)⪛⫼⇑⪆31024≦↸⇑⪆13230))","cot":[{"info":"⇑⪆122240⫩⊇=⇑⪆-122103","layer":3},{"info":"⇑⪆31024≦↸⇑⪆13230=⇑⪆-133402","layer":3},{"info":"⇑⪆-122103⪛⫼⇑⪆-133402=⇑⪆-23310","layer":2},{"info":"⨦⪝⇑⪆-23310=⇑⪆-30014","layer":1},{"info":"⨡↴⇑⪆-30014=⇑⪆-210","layer":0}]}
{"id":366,"expression_no_base_symbol":"((($5579$↙$4609$)⊢)⊔($1195$⪨⊡$2615$)⫁⪎(⇨$5381$))⫗⊷⫓(($4328$⩼⇪↪$1727$⪨≂($2433$∕⩚$4227$))⩭)","expression":"(((⇑⪆134304↙⇑⪆121414)⊢)⊔(⇑⪆14240⪨⊡⇑⪆40430)⫁⪎(⇨⇑⪆133011))⫗⊷⫓((⇑⪆114303⩼⇪↪⇑⪆23402⪨≂(⇑⪆34213∕⩚⇑⪆113402))⩭)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":103449,"operation_count":11,"complexity_ratio":9404.454545454546,"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":5579,"base":5},"right_expr":{"type":"numeric_atoms","value":4609,"base":5}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1195,"base":5},"right_expr":{"type":"numeric_atoms","value":2615,"base":5}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":5381,"base":5}}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4328,"base":5},"right_expr":{"type":"numeric_atoms","value":1727,"base":5}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2433,"base":5},"right_expr":{"type":"numeric_atoms","value":4227,"base":5}}}}},"used_operators":["zashukvMKz","E4l6HwMY31","40aOVDgCDB","yyfyN0ffXY","xRrnTEsQ6j","kuIXHzHcAH","G9tJMlZ94a","yIPP7u6H5x","sdazOOVcIp","ocnLzx9CaJ","z9ffQ9n5Zr"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","NTOWxs364D","tmPS8pqC7x","DpFCA1CohY","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","k8jYdgA6NY","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"⇑⪆-1014","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5579","layer":4},{"info":"number node, value=4609","layer":4},{"info":"compute binary expreesion, left_input=5579, right_input=4609, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13827","layer":3},{"info":"compute unary expreesion, input=-13827, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-13827","layer":2},{"info":"number node, value=1195","layer":4},{"info":"number node, value=2615","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=2615, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=5381","layer":4},{"info":"compute unary expreesion, input=5381, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-13827, right_input=0, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=53598","layer":1},{"info":"number node, value=4328","layer":4},{"info":"number node, value=1727","layer":4},{"info":"compute binary expreesion, left_input=4328, right_input=1727, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-4216","layer":3},{"info":"number node, value=2433","layer":4},{"info":"number node, value=4227","layer":4},{"info":"compute binary expreesion, left_input=2433, right_input=4227, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2436","layer":3},{"info":"compute binary expreesion, left_input=-4216, right_input=-2436, 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=-3458","layer":2},{"info":"compute unary expreesion, input=-3458, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=53598, 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":5,"result_base":5,"text":"(((⇑⪆134304↙⇑⪆121414)⊢)⊔(⇑⪆14240⪨⊡⇑⪆40430)⫁⪎(⇨⇑⪆133011))⫗⊷⫓((⇑⪆114303⩼⇪↪⇑⪆23402⪨≂(⇑⪆34213∕⩚⇑⪆113402))⩭)=⇑⪆-1014","reverse_text":"⇑⪆-1014=(((⇑⪆134304↙⇑⪆121414)⊢)⊔(⇑⪆14240⪨⊡⇑⪆40430)⫁⪎(⇨⇑⪆133011))⫗⊷⫓((⇑⪆114303⩼⇪↪⇑⪆23402⪨≂(⇑⪆34213∕⩚⇑⪆113402))⩭)","cot":[{"info":"⇑⪆134304↙⇑⪆121414=⇑⪆-420302","layer":3},{"info":"⇑⪆-420302⊢=⇑⪆-420302","layer":2},{"info":"⇑⪆14240⪨⊡⇑⪆40430=⇑⪆0","layer":3},{"info":"⇨⇑⪆133011=⇑⪆0","layer":3},{"info":"⇑⪆0⫁⪎⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆-420302⊔⇑⪆0=⇑⪆3203343","layer":1},{"info":"⇑⪆114303⩼⇪↪⇑⪆23402=⇑⪆-113331","layer":3},{"info":"⇑⪆34213∕⩚⇑⪆113402=⇑⪆-34221","layer":3},{"info":"⇑⪆-113331⪨≂⇑⪆-34221=⇑⪆-102313","layer":2},{"info":"⇑⪆-102313⩭=NaN","layer":1},{"info":"⇑⪆3203343⫗⊷⫓NaN=⇑⪆-1014","layer":0}]}
{"id":367,"expression_no_base_symbol":"($6790$⇂≾⫗$1269$↪⪝)↞⋁((∷≠$1601$)⫁($1144$↹⊜$1032$))⪚(($1065$⪶≀⋏$1561$)⩍⋽⫝̸(⨴⫝$2701$))⫁($5402$↳∿⪆$2962$)⨑⩅≇(⋠∜$4008$)","expression":"(⇑⪆204130⇂≾⫗⇑⪆20034↪⪝)↞⋁((∷≠⇑⪆22401)⫁(⇑⪆14034↹⊜⇑⪆13112))⪚((⇑⪆13230⪶≀⋏⇑⪆22221)⩍⋽⫝̸(⨴⫝⇑⪆41301))⫁(⇑⪆133102↳∿⪆⇑⪆43322)⨑⩅≇(⋠∜⇑⪆112013)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11341,"operation_count":14,"complexity_ratio":810.0714285714286,"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":6790,"base":5},"right_expr":{"type":"numeric_atoms","value":1269,"base":5}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1601,"base":5}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1144,"base":5},"right_expr":{"type":"numeric_atoms","value":1032,"base":5}}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1065,"base":5},"right_expr":{"type":"numeric_atoms","value":1561,"base":5}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":2701,"base":5}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":5402,"base":5},"right_expr":{"type":"numeric_atoms","value":2962,"base":5}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":4008,"base":5}}}}},"used_operators":["HrjLwUk87U","RqrPlJkxDo","l07mrZUIn9","aBQ6xLxuTc","0ajvFaJAv0","QiR2Oyf5Xj","9bazX3JMtO","BiWNJpBvwn","zR4jO40bMj","SVb2v531z1","h92wMvzauj","Cw4SuJJGHO","ZJpFhNJr3x"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9HNa5Wba9A","2DDjHMKMc0","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","cHh1gJQ2o6","AHs5Up7iyr","7j4O788W3g","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6790","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=6790, right_input=1269, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-41359032","layer":2},{"info":"number node, value=1601","layer":4},{"info":"compute unary expreesion, input=1601, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1601","layer":3},{"info":"number node, value=1144","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=1032, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-1936","layer":3},{"info":"compute binary expreesion, left_input=1601, right_input=-1936, 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=-41359032, right_input=160, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=1065","layer":4},{"info":"number node, value=1561","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=1561, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-6549","layer":3},{"info":"number node, value=2701","layer":4},{"info":"compute unary expreesion, input=2701, 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=-6549, right_input=2828198, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2827252","layer":2},{"info":"number node, value=5402","layer":4},{"info":"number node, value=2962","layer":4},{"info":"compute binary expreesion, left_input=5402, right_input=2962, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=4008","layer":4},{"info":"compute unary expreesion, input=4008, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=18316","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=18316, 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=2827252, right_input=935, 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 = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆204130⇂≾⫗⇑⪆20034↪⪝)↞⋁((∷≠⇑⪆22401)⫁(⇑⪆14034↹⊜⇑⪆13112))⪚((⇑⪆13230⪶≀⋏⇑⪆22221)⩍⋽⫝̸(⨴⫝⇑⪆41301))⫁(⇑⪆133102↳∿⪆⇑⪆43322)⨑⩅≇(⋠∜⇑⪆112013)=NaN","reverse_text":"NaN=(⇑⪆204130⇂≾⫗⇑⪆20034↪⪝)↞⋁((∷≠⇑⪆22401)⫁(⇑⪆14034↹⊜⇑⪆13112))⪚((⇑⪆13230⪶≀⋏⇑⪆22221)⩍⋽⫝̸(⨴⫝⇑⪆41301))⫁(⇑⪆133102↳∿⪆⇑⪆43322)⨑⩅≇(⋠∜⇑⪆112013)","cot":[{"info":"⇑⪆204130⇂≾⫗⇑⪆20034=⇑⪆-10201","layer":3},{"info":"⇑⪆-10201↪⪝=⇑⪆-41041442112","layer":2},{"info":"∷≠⇑⪆22401=⇑⪆22401","layer":3},{"info":"⇑⪆14034↹⊜⇑⪆13112=⇑⪆-30221","layer":3},{"info":"⇑⪆22401⫁⇑⪆-30221=⇑⪆1120","layer":2},{"info":"⇑⪆-41041442112↞⋁⇑⪆1120=NaN","layer":1},{"info":"⇑⪆13230⪶≀⋏⇑⪆22221=⇑⪆-202144","layer":3},{"info":"⨴⫝⇑⪆41301=⇑⪆1211000243","layer":3},{"info":"⇑⪆-202144⩍⋽⫝̸⇑⪆1211000243=⇑⪆1210433002","layer":2},{"info":"⇑⪆133102↳∿⪆⇑⪆43322=NaN","layer":3},{"info":"⋠∜⇑⪆112013=⇑⪆1041231","layer":3},{"info":"NaN⨑⩅≇⇑⪆1041231=⇑⪆12220","layer":2},{"info":"⇑⪆1210433002⫁⇑⪆12220=⇑⪆1120","layer":1},{"info":"NaN⪚⇑⪆1120=NaN","layer":0}]}
{"id":368,"expression_no_base_symbol":"≔(⇺⋃((↡$5072$)↙(⇜$5355$)))","expression":"≔(⇺⋃((↡⇑⪆130242)↙(⇜⇑⪆132410)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":43681,"operation_count":5,"complexity_ratio":8736.2,"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":5072,"base":5}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":5355,"base":5}}}}},"used_operators":["8FLs4eVsLt","E5v5B3UAjG","yyfyN0ffXY","MXaNJeIAZ3","lFBm8KRb8F"],"dependent_operators":["uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","tmPS8pqC7x","DpFCA1CohY","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5072","layer":4},{"info":"compute unary expreesion, input=5072, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=45648","layer":3},{"info":"number node, value=5355","layer":4},{"info":"compute unary expreesion, input=5355, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-43248","layer":3},{"info":"compute binary expreesion, left_input=45648, right_input=-43248, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=129744","layer":2},{"info":"compute unary expreesion, input=129744, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', 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":5,"result_base":5,"text":"≔(⇺⋃((↡⇑⪆130242)↙(⇜⇑⪆132410)))=NaN","reverse_text":"NaN=≔(⇺⋃((↡⇑⪆130242)↙(⇜⇑⪆132410)))","cot":[{"info":"↡⇑⪆130242=⇑⪆2430043","layer":3},{"info":"⇜⇑⪆132410=⇑⪆-2340443","layer":3},{"info":"⇑⪆2430043↙⇑⪆-2340443=⇑⪆13122434","layer":2},{"info":"⇺⋃⇑⪆13122434=NaN","layer":1},{"info":"≔NaN=NaN","layer":0}]}
{"id":369,"expression_no_base_symbol":"⊵⊁((⨈⫕$2763$)⨓($1029$⇌⫙⪟$1900$)⩧⪆($1000$≧⫂∧$1310$⨭⪣$1678$⨫⇇↔$2318$))","expression":"⊵⊁((⨈⫕⇑⪆42023)⨓(⇑⪆13104⇌⫙⪟⇑⪆30100)⩧⪆(⇑⪆13000≧⫂∧⇑⪆20220⨭⪣⇑⪆23203⨫⇇↔⇑⪆33233))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":595,"operation_count":8,"complexity_ratio":74.375,"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":2763,"base":5}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1029,"base":5},"right_expr":{"type":"numeric_atoms","value":1900,"base":5}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1000,"base":5},"right_expr":{"type":"numeric_atoms","value":1310,"base":5}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1678,"base":5},"right_expr":{"type":"numeric_atoms","value":2318,"base":5}}}}},"used_operators":["AvED76WdY7","Ikt5ks8PT7","3ViojmjbAp","megm06wKyl","AFVx7xoS7T","kn8WO9XteQ","Ph9nP6C5qx","LXhwmt4mBO"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","eewbuw0ToL","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"⇑⪆22312","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2763","layer":4},{"info":"compute unary expreesion, input=2763, 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=1029","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=1900, 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=-21, right_input=113, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-116","layer":2},{"info":"number node, value=1000","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1310, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=837","layer":3},{"info":"number node, value=1678","layer":4},{"info":"number node, value=2318","layer":4},{"info":"compute binary expreesion, left_input=1678, right_input=2318, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=837, right_input=-527, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-442","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=-442, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=442","layer":1},{"info":"compute unary expreesion, input=442, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=1582","layer":0}],"base":5,"result_base":5,"text":"⊵⊁((⨈⫕⇑⪆42023)⨓(⇑⪆13104⇌⫙⪟⇑⪆30100)⩧⪆(⇑⪆13000≧⫂∧⇑⪆20220⨭⪣⇑⪆23203⨫⇇↔⇑⪆33233))=⇑⪆22312","reverse_text":"⇑⪆22312=⊵⊁((⨈⫕⇑⪆42023)⨓(⇑⪆13104⇌⫙⪟⇑⪆30100)⩧⪆(⇑⪆13000≧⫂∧⇑⪆20220⨭⪣⇑⪆23203⨫⇇↔⇑⪆33233))","cot":[{"info":"⨈⫕⇑⪆42023=⇑⪆-41","layer":3},{"info":"⇑⪆13104⇌⫙⪟⇑⪆30100=⇑⪆423","layer":3},{"info":"⇑⪆-41⨓⇑⪆423=⇑⪆-431","layer":2},{"info":"⇑⪆13000≧⫂∧⇑⪆20220=⇑⪆11322","layer":3},{"info":"⇑⪆23203⨫⇇↔⇑⪆33233=⇑⪆-4102","layer":3},{"info":"⇑⪆11322⨭⪣⇑⪆-4102=⇑⪆-3232","layer":2},{"info":"⇑⪆-431⩧⪆⇑⪆-3232=⇑⪆3232","layer":1},{"info":"⊵⊁⇑⪆3232=⇑⪆22312","layer":0}]}
{"id":370,"expression_no_base_symbol":"(⩰(⨮↦↱($1996$⪨≂$6524$)))-$5510$⨔⇊$5120$⩣⫁∢(⇠$1300$)⪭≯($2299$⨰$5611$)⨂≜($8241$∊∟⩊$6059$)","expression":"(⩰(⨮↦↱(⇑⪆30441⪨≂⇑⪆202044)))-⇑⪆134020⨔⇊⇑⪆130440⩣⫁∢(⇠⇑⪆20200)⪭≯(⇑⪆33144⨰⇑⪆134421)⨂≜(⇑⪆230431∊∟⩊⇑⪆143214)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8520,"operation_count":11,"complexity_ratio":774.5454545454545,"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":1996,"base":5},"right_expr":{"type":"numeric_atoms","value":6524,"base":5}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":5510,"base":5},"right_expr":{"type":"numeric_atoms","value":5120,"base":5}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1300,"base":5}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2299,"base":5},"right_expr":{"type":"numeric_atoms","value":5611,"base":5}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":8241,"base":5},"right_expr":{"type":"numeric_atoms","value":6059,"base":5}}}}},"used_operators":["rysDP5nf3Z","WkeUrDK8WX","sYcpBQ0cFf","sdazOOVcIp","XAx5wpdLa6","JDUIKTTSIa","JclMnS0uGI","18saOjeKKm","k1SHOSEABc","eewbuw0ToL","ddLRYrp01A"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1996","layer":4},{"info":"number node, value=6524","layer":4},{"info":"compute binary expreesion, left_input=1996, right_input=6524, 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=-8954","layer":3},{"info":"compute unary expreesion, input=-8954, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=122772","layer":2},{"info":"compute unary expreesion, input=122772, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-123772","layer":1},{"info":"number node, value=5510","layer":4},{"info":"number node, value=5120","layer":4},{"info":"compute binary expreesion, left_input=5510, right_input=5120, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5120","layer":3},{"info":"number node, value=1300","layer":4},{"info":"compute unary expreesion, input=1300, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1058","layer":3},{"info":"compute binary expreesion, left_input=5120, right_input=-1058, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-10079","layer":2},{"info":"number node, value=2299","layer":4},{"info":"number node, value=5611","layer":4},{"info":"compute binary expreesion, left_input=2299, right_input=5611, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3302","layer":3},{"info":"number node, value=8241","layer":4},{"info":"number node, value=6059","layer":4},{"info":"compute binary expreesion, left_input=8241, right_input=6059, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=6059","layer":3},{"info":"compute binary expreesion, left_input=-3302, right_input=6059, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10079, 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=-123772, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⩰(⨮↦↱(⇑⪆30441⪨≂⇑⪆202044)))-⇑⪆134020⨔⇊⇑⪆130440⩣⫁∢(⇠⇑⪆20200)⪭≯(⇑⪆33144⨰⇑⪆134421)⨂≜(⇑⪆230431∊∟⩊⇑⪆143214)=NaN","reverse_text":"NaN=(⩰(⨮↦↱(⇑⪆30441⪨≂⇑⪆202044)))-⇑⪆134020⨔⇊⇑⪆130440⩣⫁∢(⇠⇑⪆20200)⪭≯(⇑⪆33144⨰⇑⪆134421)⨂≜(⇑⪆230431∊∟⩊⇑⪆143214)","cot":[{"info":"⇑⪆30441⪨≂⇑⪆202044=⇑⪆-241304","layer":3},{"info":"⨮↦↱⇑⪆-241304=⇑⪆12412042","layer":2},{"info":"⩰⇑⪆12412042=⇑⪆-12430042","layer":1},{"info":"⇑⪆134020⨔⇊⇑⪆130440=⇑⪆130440","layer":3},{"info":"⇠⇑⪆20200=⇑⪆-13213","layer":3},{"info":"⇑⪆130440⩣⫁∢⇑⪆-13213=⇑⪆-310304","layer":2},{"info":"⇑⪆33144⨰⇑⪆134421=⇑⪆-101202","layer":3},{"info":"⇑⪆230431∊∟⩊⇑⪆143214=⇑⪆143214","layer":3},{"info":"⇑⪆-101202⨂≜⇑⪆143214=NaN","layer":2},{"info":"⇑⪆-310304⪭≯NaN=NaN","layer":1},{"info":"⇑⪆-12430042-NaN=NaN","layer":0}]}
{"id":371,"expression_no_base_symbol":"(($1410$⩅⪻⪻)⩼⇪↪($1584$⨻⩈⩔$3902$))⊕∕((⨡↴$4437$)⪡(⊙↵-$1038$))⨔≚≋(($1070$⇩)→⨶⪴(↓⇌$1426$)⊎←↗)","expression":"((⇑⪆21120⩅⪻⪻)⩼⇪↪(⇑⪆22314⨻⩈⩔⇑⪆111102))⊕∕((⨡↴⇑⪆120222)⪡(⊙↵-⇑⪆13123))⨔≚≋((⇑⪆13240⇩)→⨶⪴(↓⇌⇑⪆21201)⊎←↗)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1448,"operation_count":12,"complexity_ratio":120.66666666666667,"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":1410,"base":5}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1584,"base":5},"right_expr":{"type":"numeric_atoms","value":3902,"base":5}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":4437,"base":5}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1038,"base":5}}}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":1070,"base":5}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1426,"base":5}}}}},"used_operators":["Z57zeUYC9z","9cloC0Ngie","ocnLzx9CaJ","kHoXpA7yos","nEsXyWgiOK","oraRL2iQuh","liw5iZPkLH","oWn0xqSxBt","dwb5p0fa6d","bF6eod5Gvf","vRio1gEz1j","PxpmPgHHJV"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","P8v4zCKN1o","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","COABgblf1C","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q"],"result":"⇑⪆3302323202","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1410","layer":4},{"info":"compute unary expreesion, input=1410, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-208105","layer":3},{"info":"number node, value=1584","layer":4},{"info":"number node, value=3902","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=3902, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=4271","layer":3},{"info":"compute binary expreesion, left_input=-208105, right_input=4271, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-446890","layer":2},{"info":"number node, value=4437","layer":4},{"info":"compute unary expreesion, input=4437, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=5486","layer":3},{"info":"number node, value=1038","layer":4},{"info":"compute unary expreesion, input=1038, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=5486, right_input=-1, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-446890, right_input=-1, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-446890","layer":1},{"info":"number node, value=1070","layer":4},{"info":"compute unary expreesion, input=1070, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=1163","layer":3},{"info":"number node, value=1426","layer":4},{"info":"compute unary expreesion, input=1426, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1426","layer":3},{"info":"compute binary expreesion, left_input=1163, right_input=1426, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4278","layer":2},{"info":"compute unary expreesion, input=-4278, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=9241","layer":1},{"info":"compute binary expreesion, left_input=-446890, right_input=9241, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=7073552","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆21120⩅⪻⪻)⩼⇪↪(⇑⪆22314⨻⩈⩔⇑⪆111102))⊕∕((⨡↴⇑⪆120222)⪡(⊙↵-⇑⪆13123))⨔≚≋((⇑⪆13240⇩)→⨶⪴(↓⇌⇑⪆21201)⊎←↗)=⇑⪆3302323202","reverse_text":"⇑⪆3302323202=((⇑⪆21120⩅⪻⪻)⩼⇪↪(⇑⪆22314⨻⩈⩔⇑⪆111102))⊕∕((⨡↴⇑⪆120222)⪡(⊙↵-⇑⪆13123))⨔≚≋((⇑⪆13240⇩)→⨶⪴(↓⇌⇑⪆21201)⊎←↗)","cot":[{"info":"⇑⪆21120⩅⪻⪻=⇑⪆-23124410","layer":3},{"info":"⇑⪆22314⨻⩈⩔⇑⪆111102=⇑⪆114041","layer":3},{"info":"⇑⪆-23124410⩼⇪↪⇑⪆114041=⇑⪆-103300030","layer":2},{"info":"⨡↴⇑⪆120222=⇑⪆133421","layer":3},{"info":"⊙↵-⇑⪆13123=⇑⪆-1","layer":3},{"info":"⇑⪆133421⪡⇑⪆-1=⇑⪆-1","layer":2},{"info":"⇑⪆-103300030⊕∕⇑⪆-1=⇑⪆-103300030","layer":1},{"info":"⇑⪆13240⇩=⇑⪆14123","layer":3},{"info":"↓⇌⇑⪆21201=⇑⪆21201","layer":3},{"info":"⇑⪆14123→⨶⪴⇑⪆21201=⇑⪆-114103","layer":2},{"info":"⇑⪆-114103⊎←↗=⇑⪆243431","layer":1},{"info":"⇑⪆-103300030⨔≚≋⇑⪆243431=⇑⪆3302323202","layer":0}]}
{"id":372,"expression_no_base_symbol":"(⋃($4092$∽$3678$)⪬($2389$⪛$8140$))⊾⪯⋞((⪲⇎$1409$)⊋≦⊧(⨵≀≌$5488$)⫡⨏$2530$⪎↠$2258$∣($4132$⫦⪉$4864$))","expression":"(⋃(⇑⪆112332∽⇑⪆104203)⪬(⇑⪆34024⪛⇑⪆230030))⊾⪯⋞((⪲⇎⇑⪆21114)⊋≦⊧(⨵≀≌⇑⪆133423)⫡⨏⇑⪆40110⪎↠⇑⪆33013∣(⇑⪆113012⫦⪉⇑⪆123424))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":715,"operation_count":12,"complexity_ratio":59.583333333333336,"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":4092,"base":5},"right_expr":{"type":"numeric_atoms","value":3678,"base":5}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2389,"base":5},"right_expr":{"type":"numeric_atoms","value":8140,"base":5}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1409,"base":5}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5488,"base":5}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2530,"base":5},"right_expr":{"type":"numeric_atoms","value":2258,"base":5}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4132,"base":5},"right_expr":{"type":"numeric_atoms","value":4864,"base":5}}}}},"used_operators":["HK0tfVPux8","3mBM5G4a3l","Ez1Nq5fNfI","y4ImoPnbV5","uFcxV4UQCh","QMFrweE19q","oRDoc9rAEX","XPYlsWDdGa","srAu1WTS94","PPChnnnBFF","3tVxb0NHM4","wscyQdcy20"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","g55IO6H4Gj","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","NTOWxs364D","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⇑⪆41223013","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4092","layer":4},{"info":"number node, value=3678","layer":4},{"info":"compute binary expreesion, left_input=4092, right_input=3678, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-31316","layer":3},{"info":"number node, value=2389","layer":4},{"info":"number node, value=8140","layer":4},{"info":"compute binary expreesion, left_input=2389, right_input=8140, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2389","layer":3},{"info":"compute binary expreesion, left_input=-31316, right_input=2389, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=2570","layer":1},{"info":"number node, value=1409","layer":4},{"info":"compute unary expreesion, input=1409, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2818","layer":3},{"info":"number node, value=5488","layer":4},{"info":"compute unary expreesion, input=5488, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-16464","layer":3},{"info":"compute binary expreesion, left_input=2818, right_input=-16464, 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=33168","layer":2},{"info":"number node, value=2530","layer":4},{"info":"number node, value=2258","layer":4},{"info":"compute binary expreesion, left_input=2530, right_input=2258, 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=4132","layer":4},{"info":"number node, value=4864","layer":4},{"info":"compute binary expreesion, left_input=4132, right_input=4864, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-3364","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-3364, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=797","layer":2},{"info":"compute binary expreesion, left_input=33168, right_input=797, 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=168217","layer":1},{"info":"compute binary expreesion, left_input=2570, right_input=168217, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=336008","layer":0}],"base":5,"result_base":5,"text":"(⋃(⇑⪆112332∽⇑⪆104203)⪬(⇑⪆34024⪛⇑⪆230030))⊾⪯⋞((⪲⇎⇑⪆21114)⊋≦⊧(⨵≀≌⇑⪆133423)⫡⨏⇑⪆40110⪎↠⇑⪆33013∣(⇑⪆113012⫦⪉⇑⪆123424))=⇑⪆41223013","reverse_text":"⇑⪆41223013=(⋃(⇑⪆112332∽⇑⪆104203)⪬(⇑⪆34024⪛⇑⪆230030))⊾⪯⋞((⪲⇎⇑⪆21114)⊋≦⊧(⨵≀≌⇑⪆133423)⫡⨏⇑⪆40110⪎↠⇑⪆33013∣(⇑⪆113012⫦⪉⇑⪆123424))","cot":[{"info":"⇑⪆112332∽⇑⪆104203=⇑⪆-2000231","layer":3},{"info":"⇑⪆34024⪛⇑⪆230030=⇑⪆34024","layer":3},{"info":"⇑⪆-2000231⪬⇑⪆34024=⇑⪆14414","layer":2},{"info":"⋃⇑⪆14414=⇑⪆40240","layer":1},{"info":"⪲⇎⇑⪆21114=⇑⪆42233","layer":3},{"info":"⨵≀≌⇑⪆133423=⇑⪆-1011324","layer":3},{"info":"⇑⪆42233⊋≦⊧⇑⪆-1011324=⇑⪆2030133","layer":2},{"info":"⇑⪆40110⪎↠⇑⪆33013=⇑⪆1120","layer":3},{"info":"⇑⪆113012⫦⪉⇑⪆123424=⇑⪆-101424","layer":3},{"info":"⇑⪆1120∣⇑⪆-101424=⇑⪆11142","layer":2},{"info":"⇑⪆2030133⫡⨏⇑⪆11142=⇑⪆20340332","layer":1},{"info":"⇑⪆40240⊾⪯⋞⇑⪆20340332=⇑⪆41223013","layer":0}]}
{"id":373,"expression_no_base_symbol":"(($1344$∙⊟$3341$)⫒⫫($2175$⋳⪒$1271$)⪒($2316$≎⊠⪸$1023$)⨽∌$3161$⫞⩸⩒$4910$)⩇∃⫛(≀↧⇸$2596$≨$1278$)⇤($6305$⊉↱≁$2333$⊜)","expression":"((⇑⪆20334∙⊟⇑⪆101331)⫒⫫(⇑⪆32200⋳⪒⇑⪆20041)⪒(⇑⪆33231≎⊠⪸⇑⪆13043)⨽∌⇑⪆100121⫞⩸⩒⇑⪆124120)⩇∃⫛(≀↧⇸⇑⪆40341≨⇑⪆20103)⇤(⇑⪆200210⊉↱≁⇑⪆33313⊜)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1910,"operation_count":13,"complexity_ratio":146.92307692307693,"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":1344,"base":5},"right_expr":{"type":"numeric_atoms","value":3341,"base":5}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2175,"base":5},"right_expr":{"type":"numeric_atoms","value":1271,"base":5}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2316,"base":5},"right_expr":{"type":"numeric_atoms","value":1023,"base":5}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3161,"base":5},"right_expr":{"type":"numeric_atoms","value":4910,"base":5}}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2596,"base":5},"right_expr":{"type":"numeric_atoms","value":1278,"base":5}}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":6305,"base":5},"right_expr":{"type":"numeric_atoms","value":2333,"base":5}}}}},"used_operators":["1aApVXNlOP","f6k1SAg4EE","6Ko8hGgeMq","SxTAKzQCrw","12rbrZMWeM","9samAPKr6k","bJkvcejdHO","XGcMNugi78","YSKBFp38Pu","ljTHtUsqzn","0KMCeP1Jsh","Eev2Q7dYIw","w2P8NbNXyL"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1344","layer":4},{"info":"number node, value=3341","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=3341, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=27318","layer":3},{"info":"number node, value=2175","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=2175, right_input=1271, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2792","layer":3},{"info":"compute binary expreesion, left_input=27318, right_input=2792, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"number node, value=2316","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=2316, right_input=1023, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=599371","layer":3},{"info":"number node, value=3161","layer":4},{"info":"number node, value=4910","layer":4},{"info":"compute binary expreesion, left_input=3161, right_input=4910, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4910","layer":3},{"info":"compute binary expreesion, left_input=599371, right_input=4910, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=2596","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=2596, right_input=1278, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-23484","layer":3},{"info":"compute unary expreesion, input=-23484, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=93936","layer":2},{"info":"number node, value=6305","layer":4},{"info":"number node, value=2333","layer":4},{"info":"compute binary expreesion, left_input=6305, right_input=2333, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=49000","layer":3},{"info":"compute unary expreesion, input=49000, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-194264","layer":2},{"info":"compute binary expreesion, left_input=93936, right_input=-194264, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=504488","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=504488, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆20334∙⊟⇑⪆101331)⫒⫫(⇑⪆32200⋳⪒⇑⪆20041)⪒(⇑⪆33231≎⊠⪸⇑⪆13043)⨽∌⇑⪆100121⫞⩸⩒⇑⪆124120)⩇∃⫛(≀↧⇸⇑⪆40341≨⇑⪆20103)⇤(⇑⪆200210⊉↱≁⇑⪆33313⊜)=NaN","reverse_text":"NaN=((⇑⪆20334∙⊟⇑⪆101331)⫒⫫(⇑⪆32200⋳⪒⇑⪆20041)⪒(⇑⪆33231≎⊠⪸⇑⪆13043)⨽∌⇑⪆100121⫞⩸⩒⇑⪆124120)⩇∃⫛(≀↧⇸⇑⪆40341≨⇑⪆20103)⇤(⇑⪆200210⊉↱≁⇑⪆33313⊜)","cot":[{"info":"⇑⪆20334∙⊟⇑⪆101331=⇑⪆1333233","layer":3},{"info":"⇑⪆32200⋳⪒⇑⪆20041=⇑⪆42132","layer":3},{"info":"⇑⪆1333233⫒⫫⇑⪆42132=NaN","layer":2},{"info":"⇑⪆33231≎⊠⪸⇑⪆13043=⇑⪆123134441","layer":3},{"info":"⇑⪆100121⫞⩸⩒⇑⪆124120=⇑⪆124120","layer":3},{"info":"⇑⪆123134441⨽∌⇑⪆124120=⇑⪆0","layer":2},{"info":"NaN⪒⇑⪆0=NaN","layer":1},{"info":"⇑⪆40341≨⇑⪆20103=⇑⪆-1222414","layer":3},{"info":"≀↧⇸⇑⪆-1222414=⇑⪆11001221","layer":2},{"info":"⇑⪆200210⊉↱≁⇑⪆33313=⇑⪆3032000","layer":3},{"info":"⇑⪆3032000⊜=⇑⪆-22204024","layer":2},{"info":"⇑⪆11001221⇤⇑⪆-22204024=⇑⪆112120423","layer":1},{"info":"NaN⩇∃⫛⇑⪆112120423=NaN","layer":0}]}
{"id":374,"expression_no_base_symbol":"((($3907$⊝⪿⪼$1342$)≄⊠($1654$⩱))⇷(($2474$⪛⫼$3261$)⇔⨋))⇂≾⫗(⊤⊝($1117$⋆⋳)⪛⫼(⇖$2939$))","expression":"(((⇑⪆111112⊝⪿⪼⇑⪆20332)≄⊠(⇑⪆23104⩱))⇷((⇑⪆34344⪛⫼⇑⪆101021)⇔⨋))⇂≾⫗(⊤⊝(⇑⪆13432⋆⋳)⪛⫼(⇖⇑⪆43224))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21483,"operation_count":11,"complexity_ratio":1953.0,"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":3907,"base":5},"right_expr":{"type":"numeric_atoms","value":1342,"base":5}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":1654,"base":5}}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2474,"base":5},"right_expr":{"type":"numeric_atoms","value":3261,"base":5}}}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1117,"base":5}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":2939,"base":5}}}}},"used_operators":["aBQ6xLxuTc","mp7IySMOzn","vXNesLlMH1","3Oe9XWJUTD","uyq1hVkAcj","uBihLCJcMX","hyuBjUqXlG","rXAclfmB4M","6MpZysEj17","tfWHHpNKUN"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","sdazOOVcIp","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","2DQ55sFlQl"],"result":"⇑⪆-10201","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3907","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=3907, right_input=1342, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=57951","layer":3},{"info":"number node, value=1654","layer":4},{"info":"compute unary expreesion, input=1654, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-10174","layer":3},{"info":"compute binary expreesion, left_input=57951, right_input=-10174, 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=2474","layer":4},{"info":"number node, value=3261","layer":4},{"info":"compute binary expreesion, left_input=2474, right_input=3261, 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 = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=4738","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=4738, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9476","layer":1},{"info":"number node, value=1117","layer":4},{"info":"compute unary expreesion, input=1117, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-2266","layer":3},{"info":"number node, value=2939","layer":4},{"info":"compute unary expreesion, input=2939, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-2266, right_input=160, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute unary expreesion, input=968, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=638","layer":1},{"info":"compute binary expreesion, left_input=9476, right_input=638, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆111112⊝⪿⪼⇑⪆20332)≄⊠(⇑⪆23104⩱))⇷((⇑⪆34344⪛⫼⇑⪆101021)⇔⨋))⇂≾⫗(⊤⊝(⇑⪆13432⋆⋳)⪛⫼(⇖⇑⪆43224))=⇑⪆-10201","reverse_text":"⇑⪆-10201=(((⇑⪆111112⊝⪿⪼⇑⪆20332)≄⊠(⇑⪆23104⩱))⇷((⇑⪆34344⪛⫼⇑⪆101021)⇔⨋))⇂≾⫗(⊤⊝(⇑⪆13432⋆⋳)⪛⫼(⇖⇑⪆43224))","cot":[{"info":"⇑⪆111112⊝⪿⪼⇑⪆20332=⇑⪆3323301","layer":3},{"info":"⇑⪆23104⩱=⇑⪆-311144","layer":3},{"info":"⇑⪆3323301≄⊠⇑⪆-311144=⇑⪆22000","layer":2},{"info":"⇑⪆34344⪛⫼⇑⪆101021=⇑⪆12333","layer":3},{"info":"⇑⪆12333⇔⨋=⇑⪆122423","layer":2},{"info":"⇑⪆22000⇷⇑⪆122423=⇑⪆300401","layer":1},{"info":"⇑⪆13432⋆⋳=⇑⪆-33031","layer":3},{"info":"⇖⇑⪆43224=⇑⪆1120","layer":3},{"info":"⇑⪆-33031⪛⫼⇑⪆1120=⇑⪆12333","layer":2},{"info":"⊤⊝⇑⪆12333=⇑⪆10023","layer":1},{"info":"⇑⪆300401⇂≾⫗⇑⪆10023=⇑⪆-10201","layer":0}]}
{"id":375,"expression_no_base_symbol":"(⊑($3009$≌$3636$⫡⨏$3072$⨟⋌⩍$1887$))≃((≯$5407$)∳⫺($1943$⫃⨇$2260$)⨔≚≋($8158$⪢$1041$)≦↸($2378$⨑≵⋬$5322$))","expression":"(⊑(⇑⪆44014≌⇑⪆104021⫡⨏⇑⪆44242⨟⋌⩍⇑⪆30022))≃((≯⇑⪆133112)∳⫺(⇑⪆30233⫃⨇⇑⪆33020)⨔≚≋(⇑⪆230113⪢⇑⪆13131)≦↸(⇑⪆34003⨑≵⋬⇑⪆132242))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13343,"operation_count":12,"complexity_ratio":1111.9166666666667,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":3009,"base":5},"right_expr":{"type":"numeric_atoms","value":3636,"base":5}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3072,"base":5},"right_expr":{"type":"numeric_atoms","value":1887,"base":5}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":5407,"base":5}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1943,"base":5},"right_expr":{"type":"numeric_atoms","value":2260,"base":5}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":8158,"base":5},"right_expr":{"type":"numeric_atoms","value":1041,"base":5}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2378,"base":5},"right_expr":{"type":"numeric_atoms","value":5322,"base":5}}}}},"used_operators":["YbVcJGFEVW","IkUmn0D7oy","QMFrweE19q","lyWz822IDG","rGHVDoGpnC","Z57zeUYC9z","AzXXKTstlj","keWfFq85dY","09Ly4LVMIf","RygbFNSyEJ","dWAJyo7jo9","XnXgA4xnOs"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","Tcnh7f0tEr","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","g55IO6H4Gj","JLbD19bQDL","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","k8jYdgA6NY","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3009","layer":4},{"info":"number node, value=3636","layer":4},{"info":"compute binary expreesion, left_input=3009, right_input=3636, 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=3072","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=3072, right_input=1887, 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=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":"compute unary expreesion, input=nan, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"number node, value=5407","layer":4},{"info":"compute unary expreesion, input=5407, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=1943","layer":4},{"info":"number node, value=2260","layer":4},{"info":"compute binary expreesion, left_input=1943, right_input=2260, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-9072","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-9072, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=8158","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=8158, right_input=1041, 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=2378","layer":4},{"info":"number node, value=5322","layer":4},{"info":"compute binary expreesion, left_input=2378, right_input=5322, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-23985","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-23985, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=192, 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":5,"result_base":5,"text":"(⊑(⇑⪆44014≌⇑⪆104021⫡⨏⇑⪆44242⨟⋌⩍⇑⪆30022))≃((≯⇑⪆133112)∳⫺(⇑⪆30233⫃⨇⇑⪆33020)⨔≚≋(⇑⪆230113⪢⇑⪆13131)≦↸(⇑⪆34003⨑≵⋬⇑⪆132242))=NaN","reverse_text":"NaN=(⊑(⇑⪆44014≌⇑⪆104021⫡⨏⇑⪆44242⨟⋌⩍⇑⪆30022))≃((≯⇑⪆133112)∳⫺(⇑⪆30233⫃⨇⇑⪆33020)⨔≚≋(⇑⪆230113⪢⇑⪆13131)≦↸(⇑⪆34003⨑≵⋬⇑⪆132242))","cot":[{"info":"⇑⪆44014≌⇑⪆104021=NaN","layer":3},{"info":"⇑⪆44242⨟⋌⩍⇑⪆30022=NaN","layer":3},{"info":"NaN⫡⨏NaN=NaN","layer":2},{"info":"⊑NaN=⇑⪆1232","layer":1},{"info":"≯⇑⪆133112=⇑⪆0","layer":3},{"info":"⇑⪆30233⫃⨇⇑⪆33020=⇑⪆-242242","layer":3},{"info":"⇑⪆0∳⫺⇑⪆-242242=⇑⪆-2020","layer":2},{"info":"⇑⪆230113⪢⇑⪆13131=NaN","layer":3},{"info":"⇑⪆34003⨑≵⋬⇑⪆132242=⇑⪆-1231420","layer":3},{"info":"NaN≦↸⇑⪆-1231420=NaN","layer":2},{"info":"⇑⪆-2020⨔≚≋NaN=NaN","layer":1},{"info":"⇑⪆1232≃NaN=NaN","layer":0}]}
{"id":376,"expression_no_base_symbol":"((⊤⊝$2010$⇴$2557$)⨟⋌⩍(⪝⪂⫅$1456$⩇∃⫛$5769$))↤⩊(($3530$⪮%⊝$4575$∽$3986$⫰⋱$1224$)≠≀(($3974$⨵⪆$5992$)≧⫂∧(∂⩏⊆$1113$)))","expression":"((⊤⊝⇑⪆31020⇴⇑⪆40212)⨟⋌⩍(⪝⪂⫅⇑⪆21311⩇∃⫛⇑⪆141034))↤⩊((⇑⪆103110⪮%⊝⇑⪆121300∽⇑⪆111421⫰⋱⇑⪆14344)≠≀((⇑⪆111344⨵⪆⇑⪆142432)≧⫂∧(∂⩏⊆⇑⪆13423)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":404,"operation_count":13,"complexity_ratio":31.076923076923077,"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":2010,"base":5},"right_expr":{"type":"numeric_atoms","value":2557,"base":5}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1456,"base":5},"right_expr":{"type":"numeric_atoms","value":5769,"base":5}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3530,"base":5},"right_expr":{"type":"numeric_atoms","value":4575,"base":5}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3986,"base":5},"right_expr":{"type":"numeric_atoms","value":1224,"base":5}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3974,"base":5},"right_expr":{"type":"numeric_atoms","value":5992,"base":5}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1113,"base":5}}}}},"used_operators":["13rbtpv6ld","rGHVDoGpnC","rXAclfmB4M","4JB6nKBMSY","XTarYq4gQB","1aApVXNlOP","IwW236VD4Y","y4ImoPnbV5","IWmyXbctLI","6o9Blt3TJ6","Ph9nP6C5qx","2DQ55sFlQl","8WDwsbhb0R"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","Tcnh7f0tEr","sdazOOVcIp","sdazOOVcIp","NTOWxs364D","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","NTOWxs364D","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","14qkJME0vr","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2010","layer":4},{"info":"number node, value=2557","layer":4},{"info":"compute binary expreesion, left_input=2010, right_input=2557, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=16788","layer":3},{"info":"compute unary expreesion, input=16788, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=32278","layer":2},{"info":"number node, value=1456","layer":4},{"info":"number node, value=5769","layer":4},{"info":"compute binary expreesion, left_input=1456, right_input=5769, 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=4786","layer":3},{"info":"compute unary expreesion, input=4786, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-703542","layer":2},{"info":"compute binary expreesion, left_input=32278, right_input=-703542, 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=3530","layer":4},{"info":"number node, value=4575","layer":4},{"info":"compute binary expreesion, left_input=3530, right_input=4575, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7376","layer":3},{"info":"number node, value=3986","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=3986, right_input=1224, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3953","layer":3},{"info":"compute binary expreesion, left_input=7376, right_input=-3953, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-24843","layer":2},{"info":"number node, value=3974","layer":4},{"info":"number node, value=5992","layer":4},{"info":"compute binary expreesion, left_input=3974, right_input=5992, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-3418","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-3418, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3578","layer":2},{"info":"compute binary expreesion, left_input=-24843, right_input=3578, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=49992","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=49992, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⊤⊝⇑⪆31020⇴⇑⪆40212)⨟⋌⩍(⪝⪂⫅⇑⪆21311⩇∃⫛⇑⪆141034))↤⩊((⇑⪆103110⪮%⊝⇑⪆121300∽⇑⪆111421⫰⋱⇑⪆14344)≠≀((⇑⪆111344⨵⪆⇑⪆142432)≧⫂∧(∂⩏⊆⇑⪆13423)))=NaN","reverse_text":"NaN=((⊤⊝⇑⪆31020⇴⇑⪆40212)⨟⋌⩍(⪝⪂⫅⇑⪆21311⩇∃⫛⇑⪆141034))↤⩊((⇑⪆103110⪮%⊝⇑⪆121300∽⇑⪆111421⫰⋱⇑⪆14344)≠≀((⇑⪆111344⨵⪆⇑⪆142432)≧⫂∧(∂⩏⊆⇑⪆13423)))","cot":[{"info":"⇑⪆31020⇴⇑⪆40212=⇑⪆1014123","layer":3},{"info":"⊤⊝⇑⪆1014123=⇑⪆2013103","layer":2},{"info":"⇑⪆21311⩇∃⫛⇑⪆141034=⇑⪆123121","layer":3},{"info":"⪝⪂⫅⇑⪆123121=⇑⪆-140003132","layer":2},{"info":"⇑⪆2013103⨟⋌⩍⇑⪆-140003132=NaN","layer":1},{"info":"⇑⪆103110⪮%⊝⇑⪆121300=⇑⪆214001","layer":3},{"info":"⇑⪆111421⫰⋱⇑⪆14344=⇑⪆-111303","layer":3},{"info":"⇑⪆214001∽⇑⪆-111303=⇑⪆-1243333","layer":2},{"info":"⇑⪆111344⨵⪆⇑⪆142432=⇑⪆1120","layer":3},{"info":"∂⩏⊆⇑⪆13423=⇑⪆-102133","layer":3},{"info":"⇑⪆1120≧⫂∧⇑⪆-102133=⇑⪆103303","layer":2},{"info":"⇑⪆-1243333≠≀⇑⪆103303=⇑⪆3044432","layer":1},{"info":"NaN↤⩊⇑⪆3044432=NaN","layer":0}]}
{"id":377,"expression_no_base_symbol":"((⨆≐≲($2549$↡⊰⫅$1915$))∙∹∝$1570$⨻⩈⩔$2468$⋳⪒(⊑$1233$))∌↝(($3075$⋷$2774$)⫘($1849$⊴⇁⪶)∩⋅)","expression":"((⨆≐≲(⇑⪆40144↡⊰⫅⇑⪆30130))∙∹∝⇑⪆22240⨻⩈⩔⇑⪆34333⋳⪒(⊑⇑⪆14413))∌↝((⇑⪆44300⋷⇑⪆42044)⫘(⇑⪆24344⊴⇁⪶)∩⋅)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":32187,"operation_count":11,"complexity_ratio":2926.090909090909,"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":2549,"base":5},"right_expr":{"type":"numeric_atoms","value":1915,"base":5}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1570,"base":5},"right_expr":{"type":"numeric_atoms","value":2468,"base":5}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1233,"base":5}}}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3075,"base":5},"right_expr":{"type":"numeric_atoms","value":2774,"base":5}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":1849,"base":5}}}}},"used_operators":["9Isq31Ruls","HmxsFra2vL","Bi9z9uYZqW","VCtxkLNOzz","12rbrZMWeM","nEsXyWgiOK","IkUmn0D7oy","2MzE1hQ0cz","48vC8HMD2b","23Mk6UjR3U","oo9mF6JIpo"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","Qy55tPpLXF","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2549","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=2549, right_input=1915, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3830","layer":3},{"info":"compute unary expreesion, input=3830, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=41582040","layer":2},{"info":"number node, value=1570","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=2468, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=4159","layer":3},{"info":"number node, value=1233","layer":4},{"info":"compute unary expreesion, input=1233, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=4159, right_input=192, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7839","layer":2},{"info":"compute binary expreesion, left_input=41582040, right_input=7839, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=3075","layer":4},{"info":"number node, value=2774","layer":4},{"info":"compute binary expreesion, left_input=3075, right_input=2774, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2473","layer":3},{"info":"number node, value=1849","layer":4},{"info":"compute unary expreesion, input=1849, 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=33000","layer":3},{"info":"compute binary expreesion, left_input=2473, right_input=33000, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2912653","layer":2},{"info":"compute unary expreesion, input=2912653, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-2912532","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-2912532, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"((⨆≐≲(⇑⪆40144↡⊰⫅⇑⪆30130))∙∹∝⇑⪆22240⨻⩈⩔⇑⪆34333⋳⪒(⊑⇑⪆14413))∌↝((⇑⪆44300⋷⇑⪆42044)⫘(⇑⪆24344⊴⇁⪶)∩⋅)=⇑⪆0","reverse_text":"⇑⪆0=((⨆≐≲(⇑⪆40144↡⊰⫅⇑⪆30130))∙∹∝⇑⪆22240⨻⩈⩔⇑⪆34333⋳⪒(⊑⇑⪆14413))∌↝((⇑⪆44300⋷⇑⪆42044)⫘(⇑⪆24344⊴⇁⪶)∩⋅)","cot":[{"info":"⇑⪆40144↡⊰⫅⇑⪆30130=⇑⪆110310","layer":3},{"info":"⨆≐≲⇑⪆110310=⇑⪆41121111130","layer":2},{"info":"⇑⪆22240⨻⩈⩔⇑⪆34333=⇑⪆113114","layer":3},{"info":"⊑⇑⪆14413=⇑⪆1232","layer":3},{"info":"⇑⪆113114⋳⪒⇑⪆1232=⇑⪆222324","layer":2},{"info":"⇑⪆41121111130∙∹∝⇑⪆222324=⇑⪆0","layer":1},{"info":"⇑⪆44300⋷⇑⪆42044=⇑⪆34343","layer":3},{"info":"⇑⪆24344⊴⇁⪶=⇑⪆2024000","layer":3},{"info":"⇑⪆34343⫘⇑⪆2024000=⇑⪆1221201103","layer":2},{"info":"⇑⪆1221201103∩⋅=⇑⪆-1221200112","layer":1},{"info":"⇑⪆0∌↝⇑⪆-1221200112=⇑⪆0","layer":0}]}
{"id":378,"expression_no_base_symbol":"($2531$⫁⪎$1389$⩵∡$3357$⪢$2679$)⪢(⨛(∜⨇$1217$))⋾⨃∁(($1598$≨$3653$)⫞⩸⩒($7502$≨$5876$)∪⫐($3321$⇴∐$1046$)⫗⊷⫓($3440$⫲))","expression":"(⇑⪆40111⫁⪎⇑⪆21024⩵∡⇑⪆101412⪢⇑⪆41204)⪢(⨛(∜⨇⇑⪆14332))⋾⨃∁((⇑⪆22343≨⇑⪆104103)⫞⩸⩒(⇑⪆220002≨⇑⪆142001)∪⫐(⇑⪆101241⇴∐⇑⪆13141)⫗⊷⫓(⇑⪆102230⫲))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":105497,"operation_count":14,"complexity_ratio":7535.5,"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":2531,"base":5},"right_expr":{"type":"numeric_atoms","value":1389,"base":5}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3357,"base":5},"right_expr":{"type":"numeric_atoms","value":2679,"base":5}}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1217,"base":5}}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1598,"base":5},"right_expr":{"type":"numeric_atoms","value":3653,"base":5}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":7502,"base":5},"right_expr":{"type":"numeric_atoms","value":5876,"base":5}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3321,"base":5},"right_expr":{"type":"numeric_atoms","value":1046,"base":5}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":3440,"base":5}}}}},"used_operators":["212REbPD9h","dWAJyo7jo9","Y7wcNGrDQJ","xRrnTEsQ6j","CoMdbyAt7R","uFPyJr306J","7YooWSwCyH","XGcMNugi78","0KMCeP1Jsh","zashukvMKz","HnzytWxmAO","9xnGDUPbC6"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","k8jYdgA6NY","NTOWxs364D","glklzrTFfD","tifHPKVTfV","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","rJVOvQCfKK","2DDjHMKMc0","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP"],"result":"⇑⪆12213334221424","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2531","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=2531, right_input=1389, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1142","layer":3},{"info":"number node, value=3357","layer":4},{"info":"number node, value=2679","layer":4},{"info":"compute binary expreesion, left_input=3357, right_input=2679, 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=1142, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"number node, value=1217","layer":4},{"info":"compute unary expreesion, input=1217, 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 unary expreesion, input=nan, 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 = 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=1598","layer":4},{"info":"number node, value=3653","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=3653, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-13504","layer":3},{"info":"number node, value=7502","layer":4},{"info":"number node, value=5876","layer":4},{"info":"compute binary expreesion, left_input=7502, right_input=5876, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-72544","layer":3},{"info":"compute binary expreesion, left_input=-13504, right_input=-72544, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-13504","layer":2},{"info":"number node, value=3321","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=3321, right_input=1046, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=3440","layer":4},{"info":"compute unary expreesion, input=3440, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=3167","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3167, 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=-13504, right_input=-134, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-13504","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-13504, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=1823742114","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆40111⫁⪎⇑⪆21024⩵∡⇑⪆101412⪢⇑⪆41204)⪢(⨛(∜⨇⇑⪆14332))⋾⨃∁((⇑⪆22343≨⇑⪆104103)⫞⩸⩒(⇑⪆220002≨⇑⪆142001)∪⫐(⇑⪆101241⇴∐⇑⪆13141)⫗⊷⫓(⇑⪆102230⫲))=⇑⪆12213334221424","reverse_text":"⇑⪆12213334221424=(⇑⪆40111⫁⪎⇑⪆21024⩵∡⇑⪆101412⪢⇑⪆41204)⪢(⨛(∜⨇⇑⪆14332))⋾⨃∁((⇑⪆22343≨⇑⪆104103)⫞⩸⩒(⇑⪆220002≨⇑⪆142001)∪⫐(⇑⪆101241⇴∐⇑⪆13141)⫗⊷⫓(⇑⪆102230⫲))","cot":[{"info":"⇑⪆40111⫁⪎⇑⪆21024=⇑⪆14032","layer":3},{"info":"⇑⪆101412⪢⇑⪆41204=NaN","layer":3},{"info":"⇑⪆14032⩵∡NaN=NaN","layer":2},{"info":"∜⨇⇑⪆14332=NaN","layer":3},{"info":"⨛NaN=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⇑⪆22343≨⇑⪆104103=⇑⪆-413004","layer":3},{"info":"⇑⪆220002≨⇑⪆142001=⇑⪆-4310134","layer":3},{"info":"⇑⪆-413004⫞⩸⩒⇑⪆-4310134=⇑⪆-413004","layer":2},{"info":"⇑⪆101241⇴∐⇑⪆13141=NaN","layer":3},{"info":"⇑⪆102230⫲=⇑⪆100132","layer":3},{"info":"NaN⫗⊷⫓⇑⪆100132=⇑⪆-1014","layer":2},{"info":"⇑⪆-413004∪⫐⇑⪆-1014=⇑⪆-413004","layer":1},{"info":"NaN⋾⨃∁⇑⪆-413004=⇑⪆12213334221424","layer":0}]}
{"id":379,"expression_no_base_symbol":"⇖⫷⫕(($1206$∟)∠↢(⩒∊$5565$)⪄$1809$∛$1440$≠≀($1575$∪⫐$5207$))","expression":"⇖⫷⫕((⇑⪆14311∟)∠↢(⩒∊⇑⪆134230)⪄⇑⪆24214∛⇑⪆21230≠≀(⇑⪆22300∪⫐⇑⪆131312))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1039,"operation_count":8,"complexity_ratio":129.875,"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":1206,"base":5}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":5565,"base":5}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1809,"base":5},"right_expr":{"type":"numeric_atoms","value":1440,"base":5}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1575,"base":5},"right_expr":{"type":"numeric_atoms","value":5207,"base":5}}}}},"used_operators":["UHmRx3INFg","SUmda5xLS4","KbjG8mgYpV","hTbEZDJLEm","qazvmhNBbN","IwW236VD4Y","w2537kitQq","7YooWSwCyH"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rJVOvQCfKK","2DDjHMKMc0"],"result":"⇑⪆42242","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1206","layer":4},{"info":"compute unary expreesion, input=1206, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"number node, value=5565","layer":4},{"info":"compute unary expreesion, input=5565, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=10373","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=10373, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-144592","layer":2},{"info":"number node, value=1809","layer":4},{"info":"number node, value=1440","layer":4},{"info":"compute binary expreesion, left_input=1809, right_input=1440, 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=1575","layer":4},{"info":"number node, value=5207","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=5207, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1575","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=1575, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=172","layer":2},{"info":"compute binary expreesion, left_input=-144592, right_input=172, 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 = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":5,"result_base":5,"text":"⇖⫷⫕((⇑⪆14311∟)∠↢(⩒∊⇑⪆134230)⪄⇑⪆24214∛⇑⪆21230≠≀(⇑⪆22300∪⫐⇑⪆131312))=⇑⪆42242","reverse_text":"⇑⪆42242=⇖⫷⫕((⇑⪆14311∟)∠↢(⩒∊⇑⪆134230)⪄⇑⪆24214∛⇑⪆21230≠≀(⇑⪆22300∪⫐⇑⪆131312))","cot":[{"info":"⇑⪆14311∟=⇑⪆423","layer":3},{"info":"⩒∊⇑⪆134230=⇑⪆312443","layer":3},{"info":"⇑⪆423∠↢⇑⪆312443=⇑⪆-14111332","layer":2},{"info":"⇑⪆24214∛⇑⪆21230=⇑⪆232","layer":3},{"info":"⇑⪆22300∪⫐⇑⪆131312=⇑⪆22300","layer":3},{"info":"⇑⪆232≠≀⇑⪆22300=⇑⪆1142","layer":2},{"info":"⇑⪆-14111332⪄⇑⪆1142=⇑⪆111404","layer":1},{"info":"⇖⫷⫕⇑⪆111404=⇑⪆42242","layer":0}]}
{"id":380,"expression_no_base_symbol":"($2046$⩖⊿$5198$⨫⇇↔(⫓⪴$6463$))⫯⪬∳($1999$∑⇟⊟$1543$≓∲$1158$⨚⇆$3268$)∙⊟(($3144$↱$2391$)⪢($1666$⋓$1761$))⊬⨰$1555$≴⪞⇿$1084$⨔⇊($5565$⪍↜⋙$1053$)","expression":"(⇑⪆31141⩖⊿⇑⪆131243⨫⇇↔(⫓⪴⇑⪆201323))⫯⪬∳(⇑⪆30444∑⇟⊟⇑⪆22133≓∲⇑⪆14113⨚⇆⇑⪆101033)∙⊟((⇑⪆100034↱⇑⪆34031)⪢(⇑⪆23131⋓⇑⪆24021))⊬⨰⇑⪆22210≴⪞⇿⇑⪆13314⨔⇊(⇑⪆134230⪍↜⋙⇑⪆13203)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":17275,"operation_count":15,"complexity_ratio":1151.6666666666667,"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":2046,"base":5},"right_expr":{"type":"numeric_atoms","value":5198,"base":5}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":6463,"base":5}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1999,"base":5},"right_expr":{"type":"numeric_atoms","value":1543,"base":5}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1158,"base":5},"right_expr":{"type":"numeric_atoms","value":3268,"base":5}}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3144,"base":5},"right_expr":{"type":"numeric_atoms","value":2391,"base":5}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1666,"base":5},"right_expr":{"type":"numeric_atoms","value":1761,"base":5}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1555,"base":5},"right_expr":{"type":"numeric_atoms","value":1084,"base":5}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":5565,"base":5},"right_expr":{"type":"numeric_atoms","value":1053,"base":5}}}}},"used_operators":["SxTAKzQCrw","d7ASUq0ydm","LXhwmt4mBO","RZ5CV9rWsJ","eLxqMNBOBk","s1XTVnmDOJ","U7g4x0WXJJ","lwHaAYXP2r","s3Fd5m9Dh2","dWAJyo7jo9","SR5kFfdi6N","T2fj7uvVaJ","JclMnS0uGI","lvlrscuwVU","L05ObWFQCd"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9HNa5Wba9A","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","k8jYdgA6NY","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"⇑⪆1234000","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2046","layer":4},{"info":"number node, value=5198","layer":4},{"info":"compute binary expreesion, left_input=2046, right_input=5198, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=33318","layer":3},{"info":"number node, value=6463","layer":4},{"info":"compute unary expreesion, input=6463, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=41770369","layer":3},{"info":"compute binary expreesion, left_input=33318, right_input=41770369, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=1999","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=1999, right_input=1543, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1158","layer":4},{"info":"number node, value=3268","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=3268, 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 = 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=-527, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=1108","layer":1},{"info":"number node, value=3144","layer":4},{"info":"number node, value=2391","layer":4},{"info":"compute binary expreesion, left_input=3144, right_input=2391, 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=-6651","layer":3},{"info":"number node, value=1666","layer":4},{"info":"number node, value=1761","layer":4},{"info":"compute binary expreesion, left_input=1666, right_input=1761, 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=-6651, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=1555","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=1084, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=3287282","layer":3},{"info":"number node, value=5565","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=5565, right_input=1053, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=9024","layer":3},{"info":"compute binary expreesion, left_input=3287282, right_input=9024, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=9024","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=9024, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=36096","layer":1},{"info":"compute binary expreesion, left_input=1108, right_input=36096, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=24250","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆31141⩖⊿⇑⪆131243⨫⇇↔(⫓⪴⇑⪆201323))⫯⪬∳(⇑⪆30444∑⇟⊟⇑⪆22133≓∲⇑⪆14113⨚⇆⇑⪆101033)∙⊟((⇑⪆100034↱⇑⪆34031)⪢(⇑⪆23131⋓⇑⪆24021))⊬⨰⇑⪆22210≴⪞⇿⇑⪆13314⨔⇊(⇑⪆134230⪍↜⋙⇑⪆13203)=⇑⪆1234000","reverse_text":"⇑⪆1234000=(⇑⪆31141⩖⊿⇑⪆131243⨫⇇↔(⫓⪴⇑⪆201323))⫯⪬∳(⇑⪆30444∑⇟⊟⇑⪆22133≓∲⇑⪆14113⨚⇆⇑⪆101033)∙⊟((⇑⪆100034↱⇑⪆34031)⪢(⇑⪆23131⋓⇑⪆24021))⊬⨰⇑⪆22210≴⪞⇿⇑⪆13314⨔⇊(⇑⪆134230⪍↜⋙⇑⪆13203)","cot":[{"info":"⇑⪆31141⩖⊿⇑⪆131243=⇑⪆2031233","layer":3},{"info":"⫓⪴⇑⪆201323=⇑⪆41143122434","layer":3},{"info":"⇑⪆2031233⨫⇇↔⇑⪆41143122434=⇑⪆-4102","layer":2},{"info":"⇑⪆30444∑⇟⊟⇑⪆22133=NaN","layer":3},{"info":"⇑⪆14113⨚⇆⇑⪆101033=NaN","layer":3},{"info":"NaN≓∲NaN=NaN","layer":2},{"info":"⇑⪆-4102⫯⪬∳NaN=⇑⪆13413","layer":1},{"info":"⇑⪆100034↱⇑⪆34031=⇑⪆-203101","layer":3},{"info":"⇑⪆23131⋓⇑⪆24021=⇑⪆0","layer":3},{"info":"⇑⪆-203101⪢⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆22210≴⪞⇿⇑⪆13314=⇑⪆1320143112","layer":3},{"info":"⇑⪆134230⪍↜⋙⇑⪆13203=⇑⪆242044","layer":3},{"info":"⇑⪆1320143112⨔⇊⇑⪆242044=⇑⪆242044","layer":2},{"info":"⇑⪆0⊬⨰⇑⪆242044=⇑⪆2123341","layer":1},{"info":"⇑⪆13413∙⊟⇑⪆2123341=⇑⪆1234000","layer":0}]}
{"id":381,"expression_no_base_symbol":"((($2909$⪨⊡$1686$)≦≮≮)⇆⨓≜)⇯⋐","expression":"(((⇑⪆43114⪨⊡⇑⪆23221)≦≮≮)⇆⨓≜)⇯⋐","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":192,"operation_count":4,"complexity_ratio":48.0,"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":2909,"base":5},"right_expr":{"type":"numeric_atoms","value":1686,"base":5}}}}},"used_operators":["LkLIoiE525","KvvgdUaMHJ","D4vGDi5EA2","kuIXHzHcAH"],"dependent_operators":["P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","Uaa54Peajs","KYD54nUTWz","W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=2909","layer":4},{"info":"number node, value=1686","layer":4},{"info":"compute binary expreesion, left_input=2909, right_input=1686, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆43114⪨⊡⇑⪆23221)≦≮≮)⇆⨓≜)⇯⋐=NaN","reverse_text":"NaN=(((⇑⪆43114⪨⊡⇑⪆23221)≦≮≮)⇆⨓≜)⇯⋐","cot":[{"info":"⇑⪆43114⪨⊡⇑⪆23221=⇑⪆0","layer":3},{"info":"⇑⪆0≦≮≮=⇑⪆0","layer":2},{"info":"⇑⪆0⇆⨓≜=NaN","layer":1},{"info":"NaN⇯⋐=NaN","layer":0}]}
{"id":382,"expression_no_base_symbol":"(⇋⊎⋝$6557$⋹⋡⊁$6254$)∋($2728$∀⇚≩$1998$∙∹∝$2567$⨐$2713$)⊅","expression":"(⇋⊎⋝⇑⪆202212⋹⋡⊁⇑⪆200004)∋(⇑⪆41403∀⇚≩⇑⪆30443∙∹∝⇑⪆40232⨐⇑⪆41323)⊅","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":88733,"operation_count":7,"complexity_ratio":12676.142857142857,"tree":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":6557,"base":5},"right_expr":{"type":"numeric_atoms","value":6254,"base":5}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2728,"base":5},"right_expr":{"type":"numeric_atoms","value":1998,"base":5}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2567,"base":5},"right_expr":{"type":"numeric_atoms","value":2713,"base":5}}}}},"used_operators":["7p6YLioM7f","ukq6epAj5P","CzM2PEoXns","As8RqfVLgs","HmxsFra2vL","LRNGc0VcxI","Noe24qw2ks"],"dependent_operators":["SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","dWAJyo7jo9","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","X99M06cbEe","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"⇑⪆1020242","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6557","layer":4},{"info":"number node, value=6254","layer":4},{"info":"compute binary expreesion, left_input=6557, right_input=6254, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=7004","layer":3},{"info":"compute unary expreesion, input=7004, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=2728","layer":4},{"info":"number node, value=1998","layer":4},{"info":"compute binary expreesion, left_input=2728, right_input=1998, 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=2567","layer":4},{"info":"number node, value=2713","layer":4},{"info":"compute binary expreesion, left_input=2567, right_input=2713, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-5134","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5134, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', 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":5,"result_base":5,"text":"(⇋⊎⋝⇑⪆202212⋹⋡⊁⇑⪆200004)∋(⇑⪆41403∀⇚≩⇑⪆30443∙∹∝⇑⪆40232⨐⇑⪆41323)⊅=⇑⪆1020242","reverse_text":"⇑⪆1020242=(⇋⊎⋝⇑⪆202212⋹⋡⊁⇑⪆200004)∋(⇑⪆41403∀⇚≩⇑⪆30443∙∹∝⇑⪆40232⨐⇑⪆41323)⊅","cot":[{"info":"⇑⪆202212⋹⋡⊁⇑⪆200004=⇑⪆211004","layer":3},{"info":"⇋⊎⋝⇑⪆211004=NaN","layer":2},{"info":"⇑⪆41403∀⇚≩⇑⪆30443=NaN","layer":3},{"info":"⇑⪆40232⨐⇑⪆41323=⇑⪆-131014","layer":3},{"info":"NaN∙∹∝⇑⪆-131014=NaN","layer":2},{"info":"NaN∋NaN=NaN","layer":1},{"info":"NaN⊅=⇑⪆1020242","layer":0}]}
{"id":383,"expression_no_base_symbol":"⨣⨃⇪((⇖(⪛⨧$1940$))⊉↱≁($4006$⊢$3432$≀⫉($6295$⪄$2561$)))","expression":"⨣⨃⇪((⇖(⪛⨧⇑⪆30230))⊉↱≁(⇑⪆112011⊢⇑⪆102212≀⫉(⇑⪆200140⪄⇑⪆40221)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":312,"operation_count":7,"complexity_ratio":44.57142857142857,"tree":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1940,"base":5}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":4006,"base":5},"right_expr":{"type":"numeric_atoms","value":3432,"base":5}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6295,"base":5},"right_expr":{"type":"numeric_atoms","value":2561,"base":5}}}}},"used_operators":["AcOhelriW5","w2P8NbNXyL","tfWHHpNKUN","6NJAcO2OWT","oZj3VtZNQx","5twsqlHp2o","SUmda5xLS4"],"dependent_operators":["s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","2DQ55sFlQl","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⇑⪆21110","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1940","layer":4},{"info":"compute unary expreesion, input=1940, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=5281","layer":3},{"info":"compute unary expreesion, input=5281, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"number node, value=4006","layer":4},{"info":"number node, value=3432","layer":4},{"info":"compute binary expreesion, left_input=4006, right_input=3432, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-8256","layer":3},{"info":"number node, value=6295","layer":4},{"info":"number node, value=2561","layer":4},{"info":"compute binary expreesion, left_input=6295, right_input=2561, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-937993","layer":3},{"info":"compute binary expreesion, left_input=-8256, right_input=-937993, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=2822, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-16446","layer":1},{"info":"compute unary expreesion, input=-16446, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":0}],"base":5,"result_base":5,"text":"⨣⨃⇪((⇖(⪛⨧⇑⪆30230))⊉↱≁(⇑⪆112011⊢⇑⪆102212≀⫉(⇑⪆200140⪄⇑⪆40221)))=⇑⪆21110","reverse_text":"⇑⪆21110=⨣⨃⇪((⇖(⪛⨧⇑⪆30230))⊉↱≁(⇑⪆112011⊢⇑⪆102212≀⫉(⇑⪆200140⪄⇑⪆40221)))","cot":[{"info":"⪛⨧⇑⪆30230=⇑⪆132111","layer":3},{"info":"⇖⇑⪆132111=⇑⪆1120","layer":2},{"info":"⇑⪆112011⊢⇑⪆102212=⇑⪆-231011","layer":3},{"info":"⇑⪆200140⪄⇑⪆40221=⇑⪆-220003433","layer":3},{"info":"⇑⪆-231011≀⫉⇑⪆-220003433=⇑⪆42242","layer":2},{"info":"⇑⪆1120⊉↱≁⇑⪆42242=⇑⪆-1011241","layer":1},{"info":"⨣⨃⇪⇑⪆-1011241=⇑⪆21110","layer":0}]}
{"id":384,"expression_no_base_symbol":"((≸($1846$⨭⪣$2589$))⪒$2628$↼⊘⨖$3919$⩹$1854$≀⩗∶$1290$)⊲⩕⊾(≱⇩⩕(($6105$⇗⋫)⫚⫇))","expression":"((≸(⇑⪆24341⨭⪣⇑⪆40324))⪒⇑⪆41003↼⊘⨖⇑⪆111134⩹⇑⪆24404≀⩗∶⇑⪆20130)⊲⩕⊾(≱⇩⩕((⇑⪆143410⇗⋫)⫚⫇))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":201,"operation_count":10,"complexity_ratio":20.1,"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":1846,"base":5},"right_expr":{"type":"numeric_atoms","value":2589,"base":5}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2628,"base":5},"right_expr":{"type":"numeric_atoms","value":3919,"base":5}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1854,"base":5},"right_expr":{"type":"numeric_atoms","value":1290,"base":5}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":6105,"base":5}}}}},"used_operators":["DmTXOeWf9t","f6k1SAg4EE","eOf03JbCpp","kn8WO9XteQ","2Wsdkap16l","bPywburJMS","8INZBEW696","3DZMoQKiUl","SdCjLnB6rR","hpqmaQFPrd"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","rxpJgHHUmx"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1846","layer":4},{"info":"number node, value=2589","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=2589, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=567","layer":3},{"info":"compute unary expreesion, input=567, 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":"number node, value=2628","layer":4},{"info":"number node, value=3919","layer":4},{"info":"compute binary expreesion, left_input=2628, right_input=3919, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=7616","layer":3},{"info":"number node, value=1854","layer":4},{"info":"number node, value=1290","layer":4},{"info":"compute binary expreesion, left_input=1854, right_input=1290, 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=7616, right_input=0, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-2","layer":2},{"info":"compute binary expreesion, left_input=58, right_input=-2, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-56","layer":1},{"info":"number node, value=6105","layer":4},{"info":"compute unary expreesion, input=6105, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-56, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((≸(⇑⪆24341⨭⪣⇑⪆40324))⪒⇑⪆41003↼⊘⨖⇑⪆111134⩹⇑⪆24404≀⩗∶⇑⪆20130)⊲⩕⊾(≱⇩⩕((⇑⪆143410⇗⋫)⫚⫇))=NaN","reverse_text":"NaN=((≸(⇑⪆24341⨭⪣⇑⪆40324))⪒⇑⪆41003↼⊘⨖⇑⪆111134⩹⇑⪆24404≀⩗∶⇑⪆20130)⊲⩕⊾(≱⇩⩕((⇑⪆143410⇗⋫)⫚⫇))","cot":[{"info":"⇑⪆24341⨭⪣⇑⪆40324=⇑⪆4232","layer":3},{"info":"≸⇑⪆4232=⇑⪆213","layer":2},{"info":"⇑⪆41003↼⊘⨖⇑⪆111134=⇑⪆220431","layer":3},{"info":"⇑⪆24404≀⩗∶⇑⪆20130=⇑⪆0","layer":3},{"info":"⇑⪆220431⩹⇑⪆0=⇑⪆-2","layer":2},{"info":"⇑⪆213⪒⇑⪆-2=⇑⪆-211","layer":1},{"info":"⇑⪆143410⇗⋫=NaN","layer":3},{"info":"NaN⫚⫇=NaN","layer":2},{"info":"≱⇩⩕NaN=NaN","layer":1},{"info":"⇑⪆-211⊲⩕⊾NaN=NaN","layer":0}]}
{"id":385,"expression_no_base_symbol":"(⪭⩑⪱(⇜($5001$⩷∴$2495$)))⫸⊐(($1922$⊔$1056$)∇⊂⋱(⪓⩚$8506$))⩼⇪↪($2747$⫳≱↱$1164$∕⩚$1548$∙∹∝$2187$)","expression":"(⪭⩑⪱(⇜(⇑⪆130001⩷∴⇑⪆34440)))⫸⊐((⇑⪆30142⊔⇑⪆13211)∇⊂⋱(⪓⩚⇑⪆233011))⩼⇪↪(⇑⪆41442⫳≱↱⇑⪆14124∕⩚⇑⪆22143∙∹∝⇑⪆32222)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":129146,"operation_count":11,"complexity_ratio":11740.545454545454,"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":5001,"base":5},"right_expr":{"type":"numeric_atoms","value":2495,"base":5}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1922,"base":5},"right_expr":{"type":"numeric_atoms","value":1056,"base":5}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":8506,"base":5}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2747,"base":5},"right_expr":{"type":"numeric_atoms","value":1164,"base":5}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1548,"base":5},"right_expr":{"type":"numeric_atoms","value":2187,"base":5}}}}},"used_operators":["mqXw5SEYmG","SIgE0bArFf","lFBm8KRb8F","9FxExcQeMw","ocnLzx9CaJ","nhYeJWJD5X","E4l6HwMY31","u0R0Locfp2","z9ffQ9n5Zr","ZvLB05nZmT","HmxsFra2vL"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"⇑⪆12113340","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5001","layer":4},{"info":"number node, value=2495","layer":4},{"info":"compute binary expreesion, left_input=5001, right_input=2495, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4980","layer":3},{"info":"compute unary expreesion, input=4980, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-40248","layer":2},{"info":"compute unary expreesion, input=-40248, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"number node, value=1922","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=1922, right_input=1056, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=6724","layer":3},{"info":"number node, value=8506","layer":4},{"info":"compute unary expreesion, input=8506, 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=6724, right_input=426, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=12902","layer":2},{"info":"number node, value=2747","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=2747, right_input=1164, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1548","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=1548, right_input=2187, 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=-204, right_input=0, 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=12902, right_input=-487, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=28430","layer":1},{"info":"compute binary expreesion, left_input=8320752, right_input=28430, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=113595","layer":0}],"base":5,"result_base":5,"text":"(⪭⩑⪱(⇜(⇑⪆130001⩷∴⇑⪆34440)))⫸⊐((⇑⪆30142⊔⇑⪆13211)∇⊂⋱(⪓⩚⇑⪆233011))⩼⇪↪(⇑⪆41442⫳≱↱⇑⪆14124∕⩚⇑⪆22143∙∹∝⇑⪆32222)=⇑⪆12113340","reverse_text":"⇑⪆12113340=(⪭⩑⪱(⇜(⇑⪆130001⩷∴⇑⪆34440)))⫸⊐((⇑⪆30142⊔⇑⪆13211)∇⊂⋱(⪓⩚⇑⪆233011))⩼⇪↪(⇑⪆41442⫳≱↱⇑⪆14124∕⩚⇑⪆22143∙∹∝⇑⪆32222)","cot":[{"info":"⇑⪆130001⩷∴⇑⪆34440=⇑⪆124410","layer":3},{"info":"⇜⇑⪆124410=⇑⪆-2241443","layer":2},{"info":"⪭⩑⪱⇑⪆-2241443=⇑⪆4112231002","layer":1},{"info":"⇑⪆30142⊔⇑⪆13211=⇑⪆203344","layer":3},{"info":"⪓⩚⇑⪆233011=⇑⪆3201","layer":3},{"info":"⇑⪆203344∇⊂⋱⇑⪆3201=⇑⪆403102","layer":2},{"info":"⇑⪆41442⫳≱↱⇑⪆14124=⇑⪆-1304","layer":3},{"info":"⇑⪆22143∙∹∝⇑⪆32222=⇑⪆0","layer":3},{"info":"⇑⪆-1304∕⩚⇑⪆0=⇑⪆-3422","layer":2},{"info":"⇑⪆403102⩼⇪↪⇑⪆-3422=⇑⪆1402210","layer":1},{"info":"⇑⪆4112231002⫸⊐⇑⪆1402210=⇑⪆12113340","layer":0}]}
{"id":386,"expression_no_base_symbol":"(↑($5098$+⇶⊼$1141$))⇍⊗(($8473$≋⫹)⩒⫫($1482$≭$1084$))⨐⩸⫘(∥⊫$3905$)∀⇚≩($1173$⨽$2809$)⫥∨⫟($1409$⊭↱$1001$)⊢(∤$1093$)","expression":"(↑(⇑⪆130343+⇶⊼⇑⪆14031))⇍⊗((⇑⪆232343≋⫹)⩒⫫(⇑⪆21412≭⇑⪆13314))⨐⩸⫘(∥⊫⇑⪆111110)∀⇚≩(⇑⪆14143⨽⇑⪆42214)⫥∨⫟(⇑⪆21114⊭↱⇑⪆13001)⊢(∤⇑⪆13333)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":35322,"operation_count":14,"complexity_ratio":2523.0,"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":5098,"base":5},"right_expr":{"type":"numeric_atoms","value":1141,"base":5}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":8473,"base":5}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1482,"base":5},"right_expr":{"type":"numeric_atoms","value":1084,"base":5}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3905,"base":5}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1173,"base":5},"right_expr":{"type":"numeric_atoms","value":2809,"base":5}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1409,"base":5},"right_expr":{"type":"numeric_atoms","value":1001,"base":5}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1093,"base":5}}}}},"used_operators":["fu6greOZ01","5uvYHDjeKN","tR7O2zTn5j","TpPTUOHfaN","KFSx94NKJn","N41Kp7NANJ","rxpJgHHUmx","KYD54nUTWz","LRNGc0VcxI","P8v4zCKN1o","8HhzD0ZcuI","5twsqlHp2o","COABgblf1C","k2HlF1dBQh"],"dependent_operators":["3ViojmjbAp","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","AHs5Up7iyr","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5098","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=5098, right_input=1141, 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 = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":2},{"info":"number node, value=8473","layer":4},{"info":"compute unary expreesion, input=8473, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-16946","layer":3},{"info":"number node, value=1482","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=1482, right_input=1084, 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=-16946, 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 binary expreesion, left_input=nan, 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=3905","layer":4},{"info":"compute unary expreesion, input=3905, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4773","layer":3},{"info":"number node, value=1173","layer":4},{"info":"number node, value=2809","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=2809, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4134900","layer":3},{"info":"compute binary expreesion, left_input=4773, right_input=-4134900, 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=1409","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=1001, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-811","layer":3},{"info":"number node, value=1093","layer":4},{"info":"compute unary expreesion, input=1093, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute binary expreesion, left_input=-811, right_input=9, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=1378","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1378, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-244, 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":5,"result_base":5,"text":"(↑(⇑⪆130343+⇶⊼⇑⪆14031))⇍⊗((⇑⪆232343≋⫹)⩒⫫(⇑⪆21412≭⇑⪆13314))⨐⩸⫘(∥⊫⇑⪆111110)∀⇚≩(⇑⪆14143⨽⇑⪆42214)⫥∨⫟(⇑⪆21114⊭↱⇑⪆13001)⊢(∤⇑⪆13333)=NaN","reverse_text":"NaN=(↑(⇑⪆130343+⇶⊼⇑⪆14031))⇍⊗((⇑⪆232343≋⫹)⩒⫫(⇑⪆21412≭⇑⪆13314))⨐⩸⫘(∥⊫⇑⪆111110)∀⇚≩(⇑⪆14143⨽⇑⪆42214)⫥∨⫟(⇑⪆21114⊭↱⇑⪆13001)⊢(∤⇑⪆13333)","cot":[{"info":"⇑⪆130343+⇶⊼⇑⪆14031=NaN","layer":3},{"info":"↑NaN=NaN","layer":2},{"info":"⇑⪆232343≋⫹=⇑⪆-1020241","layer":3},{"info":"⇑⪆21412≭⇑⪆13314=NaN","layer":3},{"info":"⇑⪆-1020241⩒⫫NaN=⇑⪆1120","layer":2},{"info":"NaN⇍⊗⇑⪆1120=⇑⪆-1434","layer":1},{"info":"∥⊫⇑⪆111110=⇑⪆123043","layer":3},{"info":"⇑⪆14143⨽⇑⪆42214=⇑⪆-2024304100","layer":3},{"info":"⇑⪆123043∀⇚≩⇑⪆-2024304100=NaN","layer":2},{"info":"⇑⪆21114⊭↱⇑⪆13001=⇑⪆-11221","layer":3},{"info":"∤⇑⪆13333=⇑⪆14","layer":3},{"info":"⇑⪆-11221⊢⇑⪆14=⇑⪆21003","layer":2},{"info":"NaN⫥∨⫟⇑⪆21003=NaN","layer":1},{"info":"⇑⪆-1434⨐⩸⫘NaN=NaN","layer":0}]}
{"id":387,"expression_no_base_symbol":"(($1945$↙$3472$)∊∟⩊($8429$+⇶⊼$3211$))∺≝⩲($2222$+⪬∐$7961$⋭≵(≻⋜$5113$))⪓⨏","expression":"((⇑⪆30240↙⇑⪆102342)∊∟⩊(⇑⪆232204+⇶⊼⇑⪆100321))∺≝⩲(⇑⪆32342+⪬∐⇑⪆223321⋭≵(≻⋜⇑⪆130423))⪓⨏","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":32298,"operation_count":8,"complexity_ratio":4037.25,"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":1945,"base":5},"right_expr":{"type":"numeric_atoms","value":3472,"base":5}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":8429,"base":5},"right_expr":{"type":"numeric_atoms","value":3211,"base":5}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2222,"base":5},"right_expr":{"type":"numeric_atoms","value":7961,"base":5}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":5113,"base":5}}}}},"used_operators":["4X9JU4Jbn6","KPf6cnQVty","ddLRYrp01A","yyfyN0ffXY","TpPTUOHfaN","jBncVCNhdl","2GS7woTJqF","3tj9sqzovi"],"dependent_operators":["gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","g55IO6H4Gj","D4vGDi5EA2","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1945","layer":4},{"info":"number node, value=3472","layer":4},{"info":"compute binary expreesion, left_input=1945, right_input=3472, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10416","layer":3},{"info":"number node, value=8429","layer":4},{"info":"number node, value=3211","layer":4},{"info":"compute binary expreesion, left_input=8429, right_input=3211, 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=-10416, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=39","layer":2},{"info":"number node, value=2222","layer":4},{"info":"number node, value=7961","layer":4},{"info":"compute binary expreesion, left_input=2222, right_input=7961, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-6666","layer":3},{"info":"number node, value=5113","layer":4},{"info":"compute unary expreesion, input=5113, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6666, 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=39, right_input=67, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆30240↙⇑⪆102342)∊∟⩊(⇑⪆232204+⇶⊼⇑⪆100321))∺≝⩲(⇑⪆32342+⪬∐⇑⪆223321⋭≵(≻⋜⇑⪆130423))⪓⨏=NaN","reverse_text":"NaN=((⇑⪆30240↙⇑⪆102342)∊∟⩊(⇑⪆232204+⇶⊼⇑⪆100321))∺≝⩲(⇑⪆32342+⪬∐⇑⪆223321⋭≵(≻⋜⇑⪆130423))⪓⨏","cot":[{"info":"⇑⪆30240↙⇑⪆102342=⇑⪆-313131","layer":3},{"info":"⇑⪆232204+⇶⊼⇑⪆100321=NaN","layer":3},{"info":"⇑⪆-313131∊∟⩊NaN=⇑⪆124","layer":2},{"info":"⇑⪆32342+⪬∐⇑⪆223321=⇑⪆-203131","layer":3},{"info":"≻⋜⇑⪆130423=NaN","layer":3},{"info":"⇑⪆-203131⋭≵NaN=⇑⪆232","layer":2},{"info":"⇑⪆124∺≝⩲⇑⪆232=⇑⪆1120","layer":1},{"info":"⇑⪆1120⪓⨏=NaN","layer":0}]}
{"id":388,"expression_no_base_symbol":"((($4605$⊾⪯⋞$2549$)⊚⫡⫭)⩟)⪟⇏(($3070$∙∹∝$5493$)≁↽≥($1520$⪒$3750$)⇯⋐)","expression":"(((⇑⪆121410⊾⪯⋞⇑⪆40144)⊚⫡⫭)⩟)⪟⇏((⇑⪆44240∙∹∝⇑⪆133433)≁↽≥(⇑⪆22040⪒⇑⪆110000)⇯⋐)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5450,"operation_count":8,"complexity_ratio":681.25,"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":4605,"base":5},"right_expr":{"type":"numeric_atoms","value":2549,"base":5}}}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3070,"base":5},"right_expr":{"type":"numeric_atoms","value":5493,"base":5}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1520,"base":5},"right_expr":{"type":"numeric_atoms","value":3750,"base":5}}}}},"used_operators":["GODebY97qR","fOIeswaMU4","SpZWOsLKZJ","HK0tfVPux8","LkLIoiE525","ncHt1X6cMc","HmxsFra2vL","f6k1SAg4EE"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆-1","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4605","layer":4},{"info":"number node, value=2549","layer":4},{"info":"compute binary expreesion, left_input=4605, right_input=2549, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=4672","layer":3},{"info":"compute unary expreesion, input=4672, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-8418","layer":2},{"info":"compute unary expreesion, input=-8418, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=76989","layer":1},{"info":"number node, value=3070","layer":4},{"info":"number node, value=5493","layer":4},{"info":"compute binary expreesion, left_input=3070, right_input=5493, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1520","layer":4},{"info":"number node, value=3750","layer":4},{"info":"compute binary expreesion, left_input=1520, right_input=3750, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5270","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5270, 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 = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=1466","layer":1},{"info":"compute binary expreesion, left_input=76989, right_input=1466, 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":5,"result_base":5,"text":"(((⇑⪆121410⊾⪯⋞⇑⪆40144)⊚⫡⫭)⩟)⪟⇏((⇑⪆44240∙∹∝⇑⪆133433)≁↽≥(⇑⪆22040⪒⇑⪆110000)⇯⋐)=⇑⪆-1","reverse_text":"⇑⪆-1=(((⇑⪆121410⊾⪯⋞⇑⪆40144)⊚⫡⫭)⩟)⪟⇏((⇑⪆44240∙∹∝⇑⪆133433)≁↽≥(⇑⪆22040⪒⇑⪆110000)⇯⋐)","cot":[{"info":"⇑⪆121410⊾⪯⋞⇑⪆40144=⇑⪆122142","layer":3},{"info":"⇑⪆122142⊚⫡⫭=⇑⪆-232133","layer":2},{"info":"⇑⪆-232133⩟=⇑⪆4430424","layer":1},{"info":"⇑⪆44240∙∹∝⇑⪆133433=⇑⪆0","layer":3},{"info":"⇑⪆22040⪒⇑⪆110000=⇑⪆-132040","layer":3},{"info":"⇑⪆0≁↽≥⇑⪆-132040=⇑⪆1241","layer":2},{"info":"⇑⪆1241⇯⋐=⇑⪆21331","layer":1},{"info":"⇑⪆4430424⪟⇏⇑⪆21331=⇑⪆-1","layer":0}]}
{"id":389,"expression_no_base_symbol":"⩦⊞((⩦⊞$1479$)≧⫂∧($2452$⩵∡$1578$))⫘($3807$↤⩊$6100$⨰$3119$⇍⊗$1538$)","expression":"⩦⊞((⩦⊞⇑⪆21404)≧⫂∧(⇑⪆34302⩵∡⇑⪆22303))⫘(⇑⪆110212↤⩊⇑⪆143400⨰⇑⪆44434⇍⊗⇑⪆22123)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2693,"operation_count":8,"complexity_ratio":336.625,"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":1479,"base":5}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2452,"base":5},"right_expr":{"type":"numeric_atoms","value":1578,"base":5}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":3807,"base":5},"right_expr":{"type":"numeric_atoms","value":6100,"base":5}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3119,"base":5},"right_expr":{"type":"numeric_atoms","value":1538,"base":5}}}}},"used_operators":["u7fv1HBiaC","48vC8HMD2b","Ph9nP6C5qx","Y7wcNGrDQJ","eewbuw0ToL","13rbtpv6ld","5uvYHDjeKN"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"⇑⪆-1133431143","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1479","layer":4},{"info":"compute unary expreesion, input=1479, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1206","layer":3},{"info":"number node, value=2452","layer":4},{"info":"number node, value=1578","layer":4},{"info":"compute binary expreesion, left_input=2452, right_input=1578, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-3447","layer":3},{"info":"compute binary expreesion, left_input=-1206, right_input=-3447, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2241","layer":2},{"info":"number node, value=3807","layer":4},{"info":"number node, value=6100","layer":4},{"info":"compute binary expreesion, left_input=3807, right_input=6100, 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=3119","layer":4},{"info":"number node, value=1538","layer":4},{"info":"compute binary expreesion, left_input=3119, right_input=1538, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2241, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2639821","layer":1},{"info":"compute unary expreesion, input=2639821, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-2639548","layer":0}],"base":5,"result_base":5,"text":"⩦⊞((⩦⊞⇑⪆21404)≧⫂∧(⇑⪆34302⩵∡⇑⪆22303))⫘(⇑⪆110212↤⩊⇑⪆143400⨰⇑⪆44434⇍⊗⇑⪆22123)=⇑⪆-1133431143","reverse_text":"⇑⪆-1133431143=⩦⊞((⩦⊞⇑⪆21404)≧⫂∧(⇑⪆34302⩵∡⇑⪆22303))⫘(⇑⪆110212↤⩊⇑⪆143400⨰⇑⪆44434⇍⊗⇑⪆22123)","cot":[{"info":"⩦⊞⇑⪆21404=⇑⪆-14311","layer":3},{"info":"⇑⪆34302⩵∡⇑⪆22303=⇑⪆-102242","layer":3},{"info":"⇑⪆-14311≧⫂∧⇑⪆-102242=⇑⪆32431","layer":2},{"info":"⇑⪆110212↤⩊⇑⪆143400=NaN","layer":3},{"info":"⇑⪆44434⇍⊗⇑⪆22123=⇑⪆-1434","layer":3},{"info":"NaN⨰⇑⪆-1434=NaN","layer":2},{"info":"⇑⪆32431⫘NaN=⇑⪆1133433241","layer":1},{"info":"⩦⊞⇑⪆1133433241=⇑⪆-1133431143","layer":0}]}
{"id":390,"expression_no_base_symbol":"(($1371$≚⊃≕$5402$)↓($1826$≭$1084$)⊠≄⫣)⋛((≤/$1303$⪮%⊝$5574$)%($1229$≨$4529$)∘($6025$⋻⩜⩜$7337$))","expression":"((⇑⪆20441≚⊃≕⇑⪆133102)↓(⇑⪆24301≭⇑⪆13314)⊠≄⫣)⋛((≤/⇑⪆20203⪮%⊝⇑⪆134244)%(⇑⪆14404≨⇑⪆121104)∘(⇑⪆143100⋻⩜⩜⇑⪆213322))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":103165,"operation_count":11,"complexity_ratio":9378.636363636364,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1371,"base":5},"right_expr":{"type":"numeric_atoms","value":5402,"base":5}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1826,"base":5},"right_expr":{"type":"numeric_atoms","value":1084,"base":5}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1303,"base":5},"right_expr":{"type":"numeric_atoms","value":5574,"base":5}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1229,"base":5},"right_expr":{"type":"numeric_atoms","value":4529,"base":5}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":6025,"base":5},"right_expr":{"type":"numeric_atoms","value":7337,"base":5}}}}},"used_operators":["YbUVn0Rbpy","DIvbN7qnHd","Af076pWI7l","Bmrmz2XGnR","rxpJgHHUmx","k8jYdgA6NY","eLAdDNolq6","IWmyXbctLI","Z5m6OM72h2","0KMCeP1Jsh","oDCm7WA9JY"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eH2TOUuTDT","rysDP5nf3Z","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⇑⪆-203134","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1371","layer":4},{"info":"number node, value=5402","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=5402, 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=-16960","layer":3},{"info":"number node, value=1826","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=1826, right_input=1084, 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=-16960, right_input=nan, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=1303","layer":4},{"info":"number node, value=5574","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=5574, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2922","layer":3},{"info":"compute unary expreesion, input=2922, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2438","layer":2},{"info":"number node, value=1229","layer":4},{"info":"number node, value=4529","layer":4},{"info":"compute binary expreesion, left_input=1229, right_input=4529, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-9814","layer":3},{"info":"number node, value=6025","layer":4},{"info":"number node, value=7337","layer":4},{"info":"compute binary expreesion, left_input=6025, right_input=7337, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=12050","layer":3},{"info":"compute binary expreesion, left_input=-9814, right_input=12050, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-19628","layer":2},{"info":"compute binary expreesion, left_input=-2438, right_input=-19628, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-2438","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-2438, 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=-6669","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆20441≚⊃≕⇑⪆133102)↓(⇑⪆24301≭⇑⪆13314)⊠≄⫣)⋛((≤/⇑⪆20203⪮%⊝⇑⪆134244)%(⇑⪆14404≨⇑⪆121104)∘(⇑⪆143100⋻⩜⩜⇑⪆213322))=⇑⪆-203134","reverse_text":"⇑⪆-203134=((⇑⪆20441≚⊃≕⇑⪆133102)↓(⇑⪆24301≭⇑⪆13314)⊠≄⫣)⋛((≤/⇑⪆20203⪮%⊝⇑⪆134244)%(⇑⪆14404≨⇑⪆121104)∘(⇑⪆143100⋻⩜⩜⇑⪆213322))","cot":[{"info":"⇑⪆20441≚⊃≕⇑⪆133102=⇑⪆-1020320","layer":3},{"info":"⇑⪆24301≭⇑⪆13314=NaN","layer":3},{"info":"⇑⪆-1020320↓NaN=⇑⪆-1014","layer":2},{"info":"⇑⪆-1014⊠≄⫣=⇑⪆0","layer":1},{"info":"⇑⪆20203⪮%⊝⇑⪆134244=⇑⪆43142","layer":3},{"info":"≤/⇑⪆43142=⇑⪆-34223","layer":2},{"info":"⇑⪆14404≨⇑⪆121104=⇑⪆-303224","layer":3},{"info":"⇑⪆143100⋻⩜⩜⇑⪆213322=⇑⪆341200","layer":3},{"info":"⇑⪆-303224∘⇑⪆341200=⇑⪆-1112003","layer":2},{"info":"⇑⪆-34223%⇑⪆-1112003=⇑⪆-34223","layer":1},{"info":"⇑⪆0⋛⇑⪆-34223=⇑⪆-203134","layer":0}]}
{"id":391,"expression_no_base_symbol":"(≱⇩⩕($2646$↙$5826$)⪛⫼(∮$1207$))⋷($1997$⪛⫼$7781$)⪪($1750$⩹$3295$)⊔($1381$⨐$1005$⋝⋈⪟($1700$⇆⨓≜))","expression":"(≱⇩⩕(⇑⪆41041↙⇑⪆141301)⪛⫼(∮⇑⪆14312))⋷(⇑⪆30442⪛⫼⇑⪆222111)⪪(⇑⪆24000⩹⇑⪆101140)⊔(⇑⪆21011⨐⇑⪆13010⋝⋈⪟(⇑⪆23300⇆⨓≜))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9934,"operation_count":12,"complexity_ratio":827.8333333333334,"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":2646,"base":5},"right_expr":{"type":"numeric_atoms","value":5826,"base":5}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1207,"base":5}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1997,"base":5},"right_expr":{"type":"numeric_atoms","value":7781,"base":5}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1750,"base":5},"right_expr":{"type":"numeric_atoms","value":3295,"base":5}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1381,"base":5},"right_expr":{"type":"numeric_atoms","value":1005,"base":5}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1700,"base":5}}}}},"used_operators":["23Mk6UjR3U","3DZMoQKiUl","hyuBjUqXlG","yyfyN0ffXY","CqXKPLVYql","E4l6HwMY31","xD69zh8xqp","2Wsdkap16l","2DDjHMKMc0","Noe24qw2ks","KvvgdUaMHJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","tmPS8pqC7x","DpFCA1CohY","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","Uaa54Peajs","KYD54nUTWz"],"result":"⇑⪆-1401","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2646","layer":4},{"info":"number node, value=5826","layer":4},{"info":"compute binary expreesion, left_input=2646, right_input=5826, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-17478","layer":3},{"info":"number node, value=1207","layer":4},{"info":"compute unary expreesion, input=1207, 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=-17478, right_input=67, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=355","layer":2},{"info":"compute unary expreesion, input=355, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"number node, value=1997","layer":4},{"info":"number node, value=7781","layer":4},{"info":"compute binary expreesion, left_input=1997, right_input=7781, 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=1750","layer":4},{"info":"number node, value=3295","layer":4},{"info":"compute binary expreesion, left_input=1750, right_input=3295, 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=3293","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=3293, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-142257","layer":2},{"info":"number node, value=1381","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=1005, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2762","layer":3},{"info":"number node, value=1700","layer":4},{"info":"compute unary expreesion, input=1700, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2762, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-142257, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-226","layer":0}],"base":5,"result_base":5,"text":"(≱⇩⩕(⇑⪆41041↙⇑⪆141301)⪛⫼(∮⇑⪆14312))⋷(⇑⪆30442⪛⫼⇑⪆222111)⪪(⇑⪆24000⩹⇑⪆101140)⊔(⇑⪆21011⨐⇑⪆13010⋝⋈⪟(⇑⪆23300⇆⨓≜))=⇑⪆-1401","reverse_text":"⇑⪆-1401=(≱⇩⩕(⇑⪆41041↙⇑⪆141301)⪛⫼(∮⇑⪆14312))⋷(⇑⪆30442⪛⫼⇑⪆222111)⪪(⇑⪆24000⩹⇑⪆101140)⊔(⇑⪆21011⨐⇑⪆13010⋝⋈⪟(⇑⪆23300⇆⨓≜))","cot":[{"info":"⇑⪆41041↙⇑⪆141301=⇑⪆-1024403","layer":3},{"info":"∮⇑⪆14312=⇑⪆232","layer":3},{"info":"⇑⪆-1024403⪛⫼⇑⪆232=⇑⪆2410","layer":2},{"info":"≱⇩⩕⇑⪆2410=⇑⪆423","layer":1},{"info":"⇑⪆30442⪛⫼⇑⪆222111=⇑⪆12333","layer":3},{"info":"⇑⪆24000⩹⇑⪆101140=⇑⪆101133","layer":3},{"info":"⇑⪆12333⪪⇑⪆101133=⇑⪆-14023012","layer":2},{"info":"⇑⪆21011⨐⇑⪆13010=⇑⪆-42022","layer":3},{"info":"⇑⪆23300⇆⨓≜=NaN","layer":3},{"info":"⇑⪆-42022⋝⋈⪟NaN=NaN","layer":2},{"info":"⇑⪆-14023012⊔NaN=NaN","layer":1},{"info":"⇑⪆423⋷NaN=⇑⪆-1401","layer":0}]}
{"id":392,"expression_no_base_symbol":"($6078$⋓$1508$≃$1621$⨰$4555$⪓⨏)∩⋅","expression":"(⇑⪆143303⋓⇑⪆22013≃⇑⪆22441⨰⇑⪆121210⪓⨏)∩⋅","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":11861,"operation_count":5,"complexity_ratio":2372.2,"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":6078,"base":5},"right_expr":{"type":"numeric_atoms","value":1508,"base":5}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1621,"base":5},"right_expr":{"type":"numeric_atoms","value":4555,"base":5}}}}},"used_operators":["2MzE1hQ0cz","4X9JU4Jbn6","YbVcJGFEVW","T2fj7uvVaJ","eewbuw0ToL"],"dependent_operators":["Qy55tPpLXF","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆232","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=6078","layer":4},{"info":"number node, value=1508","layer":4},{"info":"compute binary expreesion, left_input=6078, right_input=1508, 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=1621","layer":4},{"info":"number node, value=4555","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=4555, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2924","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2924, 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=11656","layer":2},{"info":"compute unary expreesion, input=11656, 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 unary expreesion, input=nan, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=67","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆143303⋓⇑⪆22013≃⇑⪆22441⨰⇑⪆121210⪓⨏)∩⋅=⇑⪆232","reverse_text":"⇑⪆232=(⇑⪆143303⋓⇑⪆22013≃⇑⪆22441⨰⇑⪆121210⪓⨏)∩⋅","cot":[{"info":"⇑⪆143303⋓⇑⪆22013=⇑⪆0","layer":3},{"info":"⇑⪆22441⨰⇑⪆121210=⇑⪆-43144","layer":3},{"info":"⇑⪆0≃⇑⪆-43144=⇑⪆333111","layer":2},{"info":"⇑⪆333111⪓⨏=NaN","layer":1},{"info":"NaN∩⋅=⇑⪆232","layer":0}]}
{"id":393,"expression_no_base_symbol":"(($5445$⫲≸⪮$1204$)⪍↜⋙(≉$6602$)⫃⨇($3253$≁$3123$%$4083$⊾⪯⋞$3426$))∳⫺(($1449$⇽⩪)≭($1506$⊾⪯⋞$1919$))↳≱($1457$⊮⊟↴$8746$⫦⪉$1941$→⨶⪴$1356$)","expression":"((⇑⪆133240⫲≸⪮⇑⪆14304)⪍↜⋙(≉⇑⪆202402)⫃⨇(⇑⪆101003≁⇑⪆44443%⇑⪆112313⊾⪯⋞⇑⪆102201))∳⫺((⇑⪆21244⇽⩪)≭(⇑⪆22011⊾⪯⋞⇑⪆30134))↳≱(⇑⪆21312⊮⊟↴⇑⪆234441⫦⪉⇑⪆30231→⨶⪴⇑⪆20411)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5886,"operation_count":15,"complexity_ratio":392.4,"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":5445,"base":5},"right_expr":{"type":"numeric_atoms","value":1204,"base":5}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":6602,"base":5}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3253,"base":5},"right_expr":{"type":"numeric_atoms","value":3123,"base":5}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":4083,"base":5},"right_expr":{"type":"numeric_atoms","value":3426,"base":5}}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":1449,"base":5}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1506,"base":5},"right_expr":{"type":"numeric_atoms","value":1919,"base":5}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1457,"base":5},"right_expr":{"type":"numeric_atoms","value":8746,"base":5}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1941,"base":5},"right_expr":{"type":"numeric_atoms","value":1356,"base":5}}}}},"used_operators":["AzXXKTstlj","09Ly4LVMIf","L05ObWFQCd","P3lXMJvFrc","e1ybzncUwg","k8jYdgA6NY","8N2wDY1A35","HK0tfVPux8","JwTKLfZU96","rxpJgHHUmx","FonBHBYJbU","wscyQdcy20","QDVgd2eftb","bF6eod5Gvf"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","AHs5Up7iyr","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","8w2t5hMYqp","9FxExcQeMw"],"result":"⇑⪆-4001423","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5445","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=5445, right_input=1204, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5445","layer":3},{"info":"number node, value=6602","layer":4},{"info":"compute unary expreesion, input=6602, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7133","layer":3},{"info":"compute binary expreesion, left_input=5445, right_input=7133, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-42274","layer":2},{"info":"number node, value=3253","layer":4},{"info":"number node, value=3123","layer":4},{"info":"compute binary expreesion, left_input=3253, right_input=3123, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=61751","layer":3},{"info":"number node, value=4083","layer":4},{"info":"number node, value=3426","layer":4},{"info":"compute binary expreesion, left_input=4083, right_input=3426, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=6426","layer":3},{"info":"compute binary expreesion, left_input=61751, right_input=6426, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3917","layer":2},{"info":"compute binary expreesion, left_input=-42274, right_input=3917, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-15700","layer":1},{"info":"number node, value=1449","layer":4},{"info":"compute unary expreesion, input=1449, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=3420","layer":3},{"info":"number node, value=1506","layer":4},{"info":"number node, value=1919","layer":4},{"info":"compute binary expreesion, left_input=1506, right_input=1919, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3412","layer":3},{"info":"compute binary expreesion, left_input=3420, right_input=3412, 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=1457","layer":4},{"info":"number node, value=8746","layer":4},{"info":"compute binary expreesion, left_input=1457, right_input=8746, 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=1941","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=1941, right_input=1356, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4068","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4068, 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 binary expreesion, left_input=nan, right_input=4900, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-15700, right_input=0, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-62738","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆133240⫲≸⪮⇑⪆14304)⪍↜⋙(≉⇑⪆202402)⫃⨇(⇑⪆101003≁⇑⪆44443%⇑⪆112313⊾⪯⋞⇑⪆102201))∳⫺((⇑⪆21244⇽⩪)≭(⇑⪆22011⊾⪯⋞⇑⪆30134))↳≱(⇑⪆21312⊮⊟↴⇑⪆234441⫦⪉⇑⪆30231→⨶⪴⇑⪆20411)=⇑⪆-4001423","reverse_text":"⇑⪆-4001423=((⇑⪆133240⫲≸⪮⇑⪆14304)⪍↜⋙(≉⇑⪆202402)⫃⨇(⇑⪆101003≁⇑⪆44443%⇑⪆112313⊾⪯⋞⇑⪆102201))∳⫺((⇑⪆21244⇽⩪)≭(⇑⪆22011⊾⪯⋞⇑⪆30134))↳≱(⇑⪆21312⊮⊟↴⇑⪆234441⫦⪉⇑⪆30231→⨶⪴⇑⪆20411)","cot":[{"info":"⇑⪆133240⫲≸⪮⇑⪆14304=⇑⪆133240","layer":3},{"info":"≉⇑⪆202402=⇑⪆212013","layer":3},{"info":"⇑⪆133240⪍↜⋙⇑⪆212013=⇑⪆-2323044","layer":2},{"info":"⇑⪆101003≁⇑⪆44443=⇑⪆3434001","layer":3},{"info":"⇑⪆112313⊾⪯⋞⇑⪆102201=⇑⪆201201","layer":3},{"info":"⇑⪆3434001%⇑⪆201201=⇑⪆111132","layer":2},{"info":"⇑⪆-2323044⫃⨇⇑⪆111132=⇑⪆-1000300","layer":1},{"info":"⇑⪆21244⇽⩪=⇑⪆102140","layer":3},{"info":"⇑⪆22011⊾⪯⋞⇑⪆30134=⇑⪆102122","layer":3},{"info":"⇑⪆102140≭⇑⪆102122=NaN","layer":2},{"info":"⇑⪆21312⊮⊟↴⇑⪆234441=⇑⪆0","layer":3},{"info":"⇑⪆30231→⨶⪴⇑⪆20411=⇑⪆-112233","layer":3},{"info":"⇑⪆0⫦⪉⇑⪆-112233=⇑⪆124100","layer":2},{"info":"NaN↳≱⇑⪆124100=⇑⪆0","layer":1},{"info":"⇑⪆-1000300∳⫺⇑⪆0=⇑⪆-4001423","layer":0}]}
{"id":394,"expression_no_base_symbol":"∂⩏⊆($2605$⨭⪣$2902$)∛($2220$⫭)∠⫱(∡$1396$⪭$3695$)","expression":"∂⩏⊆(⇑⪆40410⨭⪣⇑⪆43102)∛(⇑⪆32340⫭)∠⫱(∡⇑⪆21041⪭⇑⪆104240)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":157,"operation_count":7,"complexity_ratio":22.428571428571427,"tree":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2605,"base":5},"right_expr":{"type":"numeric_atoms","value":2902,"base":5}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":2220,"base":5}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1396,"base":5},"right_expr":{"type":"numeric_atoms","value":3695,"base":5}}}}},"used_operators":["8WDwsbhb0R","QvoQhV0rrE","w2537kitQq","kn8WO9XteQ","t4WUHVGj7f","pRsWfj4Fpp","j9kHMeSvPp"],"dependent_operators":["14qkJME0vr","eLAdDNolq6","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","COABgblf1C","xUOZtlo3hN"],"result":"⇑⪆13444","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2605","layer":4},{"info":"number node, value=2902","layer":4},{"info":"compute binary expreesion, left_input=2605, right_input=2902, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1326","layer":3},{"info":"number node, value=2220","layer":4},{"info":"compute unary expreesion, input=2220, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=6901","layer":3},{"info":"compute binary expreesion, left_input=1326, right_input=6901, 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":"number node, value=1396","layer":4},{"info":"number node, value=3695","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=3695, 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 = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-30","layer":2},{"info":"compute binary expreesion, left_input=-670, right_input=-30, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=-640","layer":1},{"info":"compute unary expreesion, input=-640, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=1124","layer":0}],"base":5,"result_base":5,"text":"∂⩏⊆(⇑⪆40410⨭⪣⇑⪆43102)∛(⇑⪆32340⫭)∠⫱(∡⇑⪆21041⪭⇑⪆104240)=⇑⪆13444","reverse_text":"⇑⪆13444=∂⩏⊆(⇑⪆40410⨭⪣⇑⪆43102)∛(⇑⪆32340⫭)∠⫱(∡⇑⪆21041⪭⇑⪆104240)","cot":[{"info":"⇑⪆40410⨭⪣⇑⪆43102=⇑⪆20301","layer":3},{"info":"⇑⪆32340⫭=⇑⪆210101","layer":3},{"info":"⇑⪆20301∛⇑⪆210101=⇑⪆-10140","layer":2},{"info":"⇑⪆21041⪭⇑⪆104240=⇑⪆10","layer":3},{"info":"∡⇑⪆10=⇑⪆-110","layer":2},{"info":"⇑⪆-10140∠⫱⇑⪆-110=⇑⪆-10030","layer":1},{"info":"∂⩏⊆⇑⪆-10030=⇑⪆13444","layer":0}]}
{"id":395,"expression_no_base_symbol":"(($2610$⪉⨛$2506$)⊘)⫞⩸⩒(($4774$∊∟⩊$4886$)⫿)⪥((↨(≛$4256$))≥⨤⩑($7719$↸$2921$)≁($2380$∘$2945$))","expression":"((⇑⪆40420⪉⨛⇑⪆40011)⊘)⫞⩸⩒((⇑⪆123044∊∟⩊⇑⪆124021)⫿)⪥((↨(≛⇑⪆114011))≥⨤⩑(⇑⪆221334↸⇑⪆43141)≁(⇑⪆34010∘⇑⪆43240))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3812,"operation_count":12,"complexity_ratio":317.6666666666667,"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":2610,"base":5},"right_expr":{"type":"numeric_atoms","value":2506,"base":5}}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":4774,"base":5},"right_expr":{"type":"numeric_atoms","value":4886,"base":5}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":4256,"base":5}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":7719,"base":5},"right_expr":{"type":"numeric_atoms","value":2921,"base":5}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2380,"base":5},"right_expr":{"type":"numeric_atoms","value":2945,"base":5}}}}},"used_operators":["QbnwKVWMIQ","XGcMNugi78","gu96TGCTMs","EWw2JM7wp4","9tKT6PmtkH","ddLRYrp01A","gJLn6v0xnP","jiX4gk2v2Q","W7eaUhjymW","8N2wDY1A35","1eCjFl0mb9","Z5m6OM72h2"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rGHVDoGpnC","oZj3VtZNQx","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eH2TOUuTDT","rysDP5nf3Z"],"result":"⇑⪆1233241","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2610","layer":4},{"info":"number node, value=2506","layer":4},{"info":"compute binary expreesion, left_input=2610, right_input=2506, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=5539","layer":3},{"info":"compute unary expreesion, input=5539, 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=4774","layer":4},{"info":"number node, value=4886","layer":4},{"info":"compute binary expreesion, left_input=4774, right_input=4886, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=4886","layer":3},{"info":"compute unary expreesion, input=4886, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=4886","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4886, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4886","layer":1},{"info":"number node, value=4256","layer":4},{"info":"compute unary expreesion, input=4256, 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 unary expreesion, input=-10, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":2},{"info":"number node, value=7719","layer":4},{"info":"number node, value=2921","layer":4},{"info":"compute binary expreesion, left_input=7719, right_input=2921, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=7719","layer":3},{"info":"number node, value=2380","layer":4},{"info":"number node, value=2945","layer":4},{"info":"compute binary expreesion, left_input=2380, right_input=2945, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=4760","layer":3},{"info":"compute binary expreesion, left_input=7719, right_input=4760, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=101039","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=101039, 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=4886, right_input=1234, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=24196","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆40420⪉⨛⇑⪆40011)⊘)⫞⩸⩒((⇑⪆123044∊∟⩊⇑⪆124021)⫿)⪥((↨(≛⇑⪆114011))≥⨤⩑(⇑⪆221334↸⇑⪆43141)≁(⇑⪆34010∘⇑⪆43240))=⇑⪆1233241","reverse_text":"⇑⪆1233241=((⇑⪆40420⪉⨛⇑⪆40011)⊘)⫞⩸⩒((⇑⪆123044∊∟⩊⇑⪆124021)⫿)⪥((↨(≛⇑⪆114011))≥⨤⩑(⇑⪆221334↸⇑⪆43141)≁(⇑⪆34010∘⇑⪆43240))","cot":[{"info":"⇑⪆40420⪉⨛⇑⪆40011=⇑⪆134124","layer":3},{"info":"⇑⪆134124⊘=⇑⪆0","layer":2},{"info":"⇑⪆123044∊∟⩊⇑⪆124021=⇑⪆124021","layer":3},{"info":"⇑⪆124021⫿=⇑⪆124021","layer":2},{"info":"⇑⪆0⫞⩸⩒⇑⪆124021=⇑⪆124021","layer":1},{"info":"≛⇑⪆114011=⇑⪆-20","layer":3},{"info":"↨⇑⪆-20=⇑⪆0","layer":2},{"info":"⇑⪆221334↸⇑⪆43141=⇑⪆221334","layer":3},{"info":"⇑⪆34010∘⇑⪆43240=⇑⪆123020","layer":3},{"info":"⇑⪆221334≁⇑⪆123020=⇑⪆11213124","layer":2},{"info":"⇑⪆0≥⨤⩑⇑⪆11213124=⇑⪆14414","layer":1},{"info":"⇑⪆124021⪥⇑⪆14414=⇑⪆1233241","layer":0}]}
{"id":396,"expression_no_base_symbol":"(($2807$∌$1027$)⇻⋧≁($1609$*$9603$)⫸⊐$3307$⪎↠$1093$⩧⪆$1064$⋾⨃∁$1123$)≠≀((⫯$1189$)⪥($1377$⩨$2433$)⊬⫿⊭)","expression":"((⇑⪆42212∌⇑⪆13102)⇻⋧≁(⇑⪆22414*⇑⪆301403)⫸⊐⇑⪆101212⪎↠⇑⪆13333⩧⪆⇑⪆13224⋾⨃∁⇑⪆13443)≠≀((⫯⇑⪆14224)⪥(⇑⪆21002⩨⇑⪆34213)⊬⫿⊭)","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3058,"operation_count":12,"complexity_ratio":254.83333333333334,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2807,"base":5},"right_expr":{"type":"numeric_atoms","value":1027,"base":5}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1609,"base":5},"right_expr":{"type":"numeric_atoms","value":9603,"base":5}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3307,"base":5},"right_expr":{"type":"numeric_atoms","value":1093,"base":5}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1064,"base":5},"right_expr":{"type":"numeric_atoms","value":1123,"base":5}}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1189,"base":5}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1377,"base":5},"right_expr":{"type":"numeric_atoms","value":2433,"base":5}}}}},"used_operators":["IwW236VD4Y","mqXw5SEYmG","jCPkEVoL5K","8cLx32lpNA","9HNa5Wba9A","Ikt5ks8PT7","3tVxb0NHM4","212REbPD9h","v0DYgG9ikt","QbnwKVWMIQ","H6BK1Evt7c","2DlMacCsIx"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","eewbuw0ToL","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2807","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=2807, right_input=1027, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1027","layer":3},{"info":"number node, value=1609","layer":4},{"info":"number node, value=9603","layer":4},{"info":"compute binary expreesion, left_input=1609, right_input=9603, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15451227","layer":3},{"info":"compute binary expreesion, left_input=-1027, right_input=15451227, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":2},{"info":"number node, value=3307","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=3307, right_input=1093, 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=1064","layer":4},{"info":"number node, value=1123","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=1123, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=12597720","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=12597720, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-12597720","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-12597720, 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=1189","layer":4},{"info":"compute unary expreesion, input=1189, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-35150","layer":3},{"info":"number node, value=1377","layer":4},{"info":"number node, value=2433","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=2433, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=-35150, right_input=-3, 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 = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=2010","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2010, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆42212∌⇑⪆13102)⇻⋧≁(⇑⪆22414*⇑⪆301403)⫸⊐⇑⪆101212⪎↠⇑⪆13333⩧⪆⇑⪆13224⋾⨃∁⇑⪆13443)≠≀((⫯⇑⪆14224)⪥(⇑⪆21002⩨⇑⪆34213)⊬⫿⊭)=NaN","reverse_text":"NaN=((⇑⪆42212∌⇑⪆13102)⇻⋧≁(⇑⪆22414*⇑⪆301403)⫸⊐⇑⪆101212⪎↠⇑⪆13333⩧⪆⇑⪆13224⋾⨃∁⇑⪆13443)≠≀((⫯⇑⪆14224)⪥(⇑⪆21002⩨⇑⪆34213)⊬⫿⊭)","cot":[{"info":"⇑⪆42212∌⇑⪆13102=⇑⪆-13102","layer":3},{"info":"⇑⪆22414*⇑⪆301403=⇑⪆12423414402","layer":3},{"info":"⇑⪆-13102⇻⋧≁⇑⪆12423414402=NaN","layer":2},{"info":"⇑⪆101212⪎↠⇑⪆13333=⇑⪆1120","layer":3},{"info":"⇑⪆13224⋾⨃∁⇑⪆13443=⇑⪆11211111340","layer":3},{"info":"⇑⪆1120⩧⪆⇑⪆11211111340=⇑⪆-11211111340","layer":2},{"info":"NaN⫸⊐⇑⪆-11211111340=NaN","layer":1},{"info":"⫯⇑⪆14224=⇑⪆-2111100","layer":3},{"info":"⇑⪆21002⩨⇑⪆34213=⇑⪆-3","layer":3},{"info":"⇑⪆-2111100⪥⇑⪆-3=⇑⪆-24143","layer":2},{"info":"⇑⪆-24143⊬⫿⊭=⇑⪆31020","layer":1},{"info":"NaN≠≀⇑⪆31020=NaN","layer":0}]}
{"id":397,"expression_no_base_symbol":"($2618$⩺⪪$2777$⋻⩜⩜$2626$∳⫺$1788$%($4564$⇄$1073$)∳⫺($3508$∛$1016$))⩨(($1633$⨔≚≋$5563$+(⋗⩬⋾$1588$))∷(($7465$∪⫐$2194$)≃⋄))","expression":"(⇑⪆40433⩺⪪⇑⪆42102⋻⩜⩜⇑⪆41001∳⫺⇑⪆24123%(⇑⪆121224⇄⇑⪆13243)∳⫺(⇑⪆103013∛⇑⪆13031))⩨((⇑⪆23013⨔≚≋⇑⪆134223+(⋗⩬⋾⇑⪆22323))∷((⇑⪆214330∪⫐⇑⪆32234)≃⋄))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4057,"operation_count":14,"complexity_ratio":289.7857142857143,"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":2618,"base":5},"right_expr":{"type":"numeric_atoms","value":2777,"base":5}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2626,"base":5},"right_expr":{"type":"numeric_atoms","value":1788,"base":5}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":4564,"base":5},"right_expr":{"type":"numeric_atoms","value":1073,"base":5}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3508,"base":5},"right_expr":{"type":"numeric_atoms","value":1016,"base":5}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1633,"base":5},"right_expr":{"type":"numeric_atoms","value":5563,"base":5}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1588,"base":5}}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":7465,"base":5},"right_expr":{"type":"numeric_atoms","value":2194,"base":5}}}}},"used_operators":["2DlMacCsIx","k8jYdgA6NY","oDCm7WA9JY","uvdQJvN4PV","AzXXKTstlj","3EYGwJThht","w2537kitQq","D3AQDKkPcf","W4YGzv6Whe","Z57zeUYC9z","DpFCA1CohY","aN9a90urxU","7YooWSwCyH"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","NTOWxs364D","7j4O788W3g","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","jLgFTUHLKL","rJVOvQCfKK","2DDjHMKMc0"],"result":"⇑⪆113","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2618","layer":4},{"info":"number node, value=2777","layer":4},{"info":"compute binary expreesion, left_input=2618, right_input=2777, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=1914","layer":3},{"info":"number node, value=2626","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=2626, right_input=1788, 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=1914, right_input=-260, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3828","layer":2},{"info":"number node, value=4564","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=4564, right_input=1073, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=3508","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=3508, right_input=1016, 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=0, right_input=67, 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=3828, right_input=-260, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-72","layer":1},{"info":"number node, value=1633","layer":4},{"info":"number node, value=5563","layer":4},{"info":"compute binary expreesion, left_input=1633, right_input=5563, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1588","layer":4},{"info":"compute unary expreesion, input=1588, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4764","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=-4764, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5108","layer":2},{"info":"number node, value=7465","layer":4},{"info":"number node, value=2194","layer":4},{"info":"compute binary expreesion, left_input=7465, right_input=2194, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=7465","layer":3},{"info":"compute unary expreesion, input=7465, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":2},{"info":"compute binary expreesion, left_input=5108, right_input=764, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=764","layer":1},{"info":"compute binary expreesion, left_input=-72, right_input=764, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=33","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆40433⩺⪪⇑⪆42102⋻⩜⩜⇑⪆41001∳⫺⇑⪆24123%(⇑⪆121224⇄⇑⪆13243)∳⫺(⇑⪆103013∛⇑⪆13031))⩨((⇑⪆23013⨔≚≋⇑⪆134223+(⋗⩬⋾⇑⪆22323))∷((⇑⪆214330∪⫐⇑⪆32234)≃⋄))=⇑⪆113","reverse_text":"⇑⪆113=(⇑⪆40433⩺⪪⇑⪆42102⋻⩜⩜⇑⪆41001∳⫺⇑⪆24123%(⇑⪆121224⇄⇑⪆13243)∳⫺(⇑⪆103013∛⇑⪆13031))⩨((⇑⪆23013⨔≚≋⇑⪆134223+(⋗⩬⋾⇑⪆22323))∷((⇑⪆214330∪⫐⇑⪆32234)≃⋄))","cot":[{"info":"⇑⪆40433⩺⪪⇑⪆42102=⇑⪆30124","layer":3},{"info":"⇑⪆41001∳⫺⇑⪆24123=⇑⪆-2020","layer":3},{"info":"⇑⪆30124⋻⩜⩜⇑⪆-2020=⇑⪆110303","layer":2},{"info":"⇑⪆121224⇄⇑⪆13243=⇑⪆0","layer":3},{"info":"⇑⪆103013∛⇑⪆13031=⇑⪆232","layer":3},{"info":"⇑⪆0∳⫺⇑⪆232=⇑⪆-2020","layer":2},{"info":"⇑⪆110303%⇑⪆-2020=⇑⪆-242","layer":1},{"info":"⇑⪆23013⨔≚≋⇑⪆134223=⇑⪆303442","layer":3},{"info":"⋗⩬⋾⇑⪆22323=⇑⪆-123024","layer":3},{"info":"⇑⪆303442+⇑⪆-123024=⇑⪆130413","layer":2},{"info":"⇑⪆214330∪⫐⇑⪆32234=⇑⪆214330","layer":3},{"info":"⇑⪆214330≃⋄=⇑⪆11024","layer":2},{"info":"⇑⪆130413∷⇑⪆11024=⇑⪆11024","layer":1},{"info":"⇑⪆-242⩨⇑⪆11024=⇑⪆113","layer":0}]}
{"id":398,"expression_no_base_symbol":"($1893$⋾⨃∁$6868$)↳∿⪆($2046$⩘$3832$)≬⇓(⪛⨧$1414$⪒⊣⊆$3246$)⊉≛↸(($1222$⇷$3275$)⪘⫢($2227$⩘))⨽∌(($1299$↸$1894$)⪥($1022$⇌⫙⪟$1825$))","expression":"(⇑⪆30033⋾⨃∁⇑⪆204433)↳∿⪆(⇑⪆31141⩘⇑⪆110312)≬⇓(⪛⨧⇑⪆21124⪒⊣⊆⇑⪆100441)⊉≛↸((⇑⪆14342⇷⇑⪆101100)⪘⫢(⇑⪆32402⩘))⨽∌((⇑⪆20144↸⇑⪆30034)⪥(⇑⪆13042⇌⫙⪟⇑⪆24300))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27940,"operation_count":14,"complexity_ratio":1995.7142857142858,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1893,"base":5},"right_expr":{"type":"numeric_atoms","value":6868,"base":5}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2046,"base":5},"right_expr":{"type":"numeric_atoms","value":3832,"base":5}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1414,"base":5},"right_expr":{"type":"numeric_atoms","value":3246,"base":5}}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1222,"base":5},"right_expr":{"type":"numeric_atoms","value":3275,"base":5}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":2227,"base":5}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1299,"base":5},"right_expr":{"type":"numeric_atoms","value":1894,"base":5}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1022,"base":5},"right_expr":{"type":"numeric_atoms","value":1825,"base":5}}}}},"used_operators":["DZ8iAZOCBD","jWTQ2TZYIH","Cw4SuJJGHO","212REbPD9h","cHh1gJQ2o6","6NJAcO2OWT","eRqsBgTDFp","9samAPKr6k","oacrs7FA3X","mp7IySMOzn","wvHyciQT5X","QbnwKVWMIQ","1eCjFl0mb9","AFVx7xoS7T"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","sdazOOVcIp","W4YGzv6Whe","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9ICcGScMcE","dfKe02y8D2","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"⇑⪆-134","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1893","layer":4},{"info":"number node, value=6868","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=6868, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=471611730","layer":3},{"info":"number node, value=2046","layer":4},{"info":"number node, value=3832","layer":4},{"info":"compute binary expreesion, left_input=2046, right_input=3832, 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=471611730, right_input=160, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=1414","layer":4},{"info":"number node, value=3246","layer":4},{"info":"compute binary expreesion, left_input=1414, right_input=3246, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2828","layer":3},{"info":"compute unary expreesion, input=2828, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=7057","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7057, 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=1222","layer":4},{"info":"number node, value=3275","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=3275, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6550","layer":3},{"info":"number node, value=2227","layer":4},{"info":"compute unary expreesion, input=2227, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=6550, right_input=67, 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=1299","layer":4},{"info":"number node, value=1894","layer":4},{"info":"compute binary expreesion, left_input=1299, right_input=1894, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1299","layer":3},{"info":"number node, value=1022","layer":4},{"info":"number node, value=1825","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=1825, 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=1299, right_input=113, 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=0, right_input=-116, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-44","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆30033⋾⨃∁⇑⪆204433)↳∿⪆(⇑⪆31141⩘⇑⪆110312)≬⇓(⪛⨧⇑⪆21124⪒⊣⊆⇑⪆100441)⊉≛↸((⇑⪆14342⇷⇑⪆101100)⪘⫢(⇑⪆32402⩘))⨽∌((⇑⪆20144↸⇑⪆30034)⪥(⇑⪆13042⇌⫙⪟⇑⪆24300))=⇑⪆-134","reverse_text":"⇑⪆-134=(⇑⪆30033⋾⨃∁⇑⪆204433)↳∿⪆(⇑⪆31141⩘⇑⪆110312)≬⇓(⪛⨧⇑⪆21124⪒⊣⊆⇑⪆100441)⊉≛↸((⇑⪆14342⇷⇑⪆101100)⪘⫢(⇑⪆32402⩘))⨽∌((⇑⪆20144↸⇑⪆30034)⪥(⇑⪆13042⇌⫙⪟⇑⪆24300))","cot":[{"info":"⇑⪆30033⋾⨃∁⇑⪆204433=⇑⪆1431213033410","layer":3},{"info":"⇑⪆31141⩘⇑⪆110312=⇑⪆1120","layer":3},{"info":"⇑⪆1431213033410↳∿⪆⇑⪆1120=NaN","layer":2},{"info":"⇑⪆21124⪒⊣⊆⇑⪆100441=⇑⪆42303","layer":3},{"info":"⪛⨧⇑⪆42303=⇑⪆211212","layer":2},{"info":"NaN≬⇓⇑⪆211212=⇑⪆-42","layer":1},{"info":"⇑⪆14342⇷⇑⪆101100=⇑⪆202200","layer":3},{"info":"⇑⪆32402⩘=⇑⪆232","layer":3},{"info":"⇑⪆202200⪘⫢⇑⪆232=⇑⪆0","layer":2},{"info":"⇑⪆20144↸⇑⪆30034=⇑⪆20144","layer":3},{"info":"⇑⪆13042⇌⫙⪟⇑⪆24300=⇑⪆423","layer":3},{"info":"⇑⪆20144⪥⇑⪆423=⇑⪆-431","layer":2},{"info":"⇑⪆0⨽∌⇑⪆-431=⇑⪆0","layer":1},{"info":"⇑⪆-42⊉≛↸⇑⪆0=⇑⪆-134","layer":0}]}
{"id":399,"expression_no_base_symbol":"($2326$⩦$3880$⋥≓≎(⪝⪂⫅$4402$))↳≱(⪲⇎$5192$)≎⪠(⪝⪂⫅$6433$)↳≱(($2057$⋝⋈⪟$4001$)⪃⊛⇣(→⩰$2931$)⋣⋖($1896$⫁⪎$2342$)⪎↠$3989$⋕⪉⪜$2142$)","expression":"(⇑⪆33301⩦⇑⪆111010⋥≓≎(⪝⪂⫅⇑⪆120102))↳≱(⪲⇎⇑⪆131232)≎⪠(⪝⪂⫅⇑⪆201213)↳≱((⇑⪆31212⋝⋈⪟⇑⪆112001)⪃⊛⇣(→⩰⇑⪆43211)⋣⋖(⇑⪆30041⫁⪎⇑⪆33332)⪎↠⇑⪆111424⋕⪉⪜⇑⪆32032)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":23529,"operation_count":15,"complexity_ratio":1568.6,"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":2326,"base":5},"right_expr":{"type":"numeric_atoms","value":3880,"base":5}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4402,"base":5}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5192,"base":5}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6433,"base":5}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2057,"base":5},"right_expr":{"type":"numeric_atoms","value":4001,"base":5}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":2931,"base":5}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1896,"base":5},"right_expr":{"type":"numeric_atoms","value":2342,"base":5}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":3989,"base":5},"right_expr":{"type":"numeric_atoms","value":2142,"base":5}}}}},"used_operators":["JwTKLfZU96","Qy55tPpLXF","0kmYd0q39Y","XTarYq4gQB","aNhz54LH3e","XPYlsWDdGa","J0M6qkBnIM","rrgAzCduG9","2DDjHMKMc0","o8Pngz0Tml","3tVxb0NHM4","xRrnTEsQ6j","z6LnFrNh4i"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9HNa5Wba9A","8w2t5hMYqp","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2326","layer":4},{"info":"number node, value=3880","layer":4},{"info":"compute binary expreesion, left_input=2326, right_input=3880, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4652","layer":3},{"info":"number node, value=4402","layer":4},{"info":"compute unary expreesion, input=4402, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-647094","layer":3},{"info":"compute binary expreesion, left_input=4652, right_input=-647094, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1298807","layer":2},{"info":"number node, value=5192","layer":4},{"info":"compute unary expreesion, input=5192, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10384","layer":3},{"info":"number node, value=6433","layer":4},{"info":"compute unary expreesion, input=6433, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-945651","layer":3},{"info":"compute binary expreesion, left_input=10384, right_input=-945651, 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=-1298807, right_input=19558, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=2057","layer":4},{"info":"number node, value=4001","layer":4},{"info":"compute binary expreesion, left_input=2057, right_input=4001, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2057","layer":3},{"info":"number node, value=2931","layer":4},{"info":"compute unary expreesion, input=2931, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2057, 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=1896","layer":4},{"info":"number node, value=2342","layer":4},{"info":"compute binary expreesion, left_input=1896, right_input=2342, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-446","layer":3},{"info":"number node, value=3989","layer":4},{"info":"number node, value=2142","layer":4},{"info":"compute binary expreesion, left_input=3989, right_input=2142, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=-446, right_input=2802, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=422","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=422, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆33301⩦⇑⪆111010⋥≓≎(⪝⪂⫅⇑⪆120102))↳≱(⪲⇎⇑⪆131232)≎⪠(⪝⪂⫅⇑⪆201213)↳≱((⇑⪆31212⋝⋈⪟⇑⪆112001)⪃⊛⇣(→⩰⇑⪆43211)⋣⋖(⇑⪆30041⫁⪎⇑⪆33332)⪎↠⇑⪆111424⋕⪉⪜⇑⪆32032)=⇑⪆0","reverse_text":"⇑⪆0=(⇑⪆33301⩦⇑⪆111010⋥≓≎(⪝⪂⫅⇑⪆120102))↳≱(⪲⇎⇑⪆131232)≎⪠(⪝⪂⫅⇑⪆201213)↳≱((⇑⪆31212⋝⋈⪟⇑⪆112001)⪃⊛⇣(→⩰⇑⪆43211)⋣⋖(⇑⪆30041⫁⪎⇑⪆33332)⪎↠⇑⪆111424⋕⪉⪜⇑⪆32032)","cot":[{"info":"⇑⪆33301⩦⇑⪆111010=⇑⪆122102","layer":3},{"info":"⪝⪂⫅⇑⪆120102=⇑⪆-131201334","layer":3},{"info":"⇑⪆122102⋥≓≎⇑⪆-131201334=⇑⪆-313030212","layer":2},{"info":"⪲⇎⇑⪆131232=⇑⪆313014","layer":3},{"info":"⪝⪂⫅⇑⪆201213=⇑⪆-220230101","layer":3},{"info":"⇑⪆313014≎⪠⇑⪆-220230101=⇑⪆1111213","layer":2},{"info":"⇑⪆-313030212↳≱⇑⪆1111213=⇑⪆0","layer":1},{"info":"⇑⪆31212⋝⋈⪟⇑⪆112001=⇑⪆31212","layer":3},{"info":"→⩰⇑⪆43211=NaN","layer":3},{"info":"⇑⪆31212⪃⊛⇣NaN=⇑⪆14414","layer":2},{"info":"⇑⪆30041⫁⪎⇑⪆33332=⇑⪆-3241","layer":3},{"info":"⇑⪆111424⋕⪉⪜⇑⪆32032=⇑⪆42202","layer":3},{"info":"⇑⪆-3241⪎↠⇑⪆42202=⇑⪆3142","layer":2},{"info":"⇑⪆14414⋣⋖⇑⪆3142=⇑⪆14414","layer":1},{"info":"⇑⪆0↳≱⇑⪆14414=⇑⪆0","layer":0}]}
{"id":400,"expression_no_base_symbol":"((($1097$⋩≍≻)∛$8169$⇤$5779$)⋹)⪒⊣⊆(($1326$⨼⩣$3670$)⨸($2291$⪭$2003$)⇴((↨⩢⫨$4762$)≎⊠⪸$5164$⩒⫫$2819$))","expression":"(((⇑⪆13342⋩≍≻)∛⇑⪆230134⇤⇑⪆141104)⋹)⪒⊣⊆((⇑⪆20301⨼⩣⇑⪆104140)⨸(⇑⪆33131⪭⇑⪆31003)⇴((↨⩢⫨⇑⪆123022)≎⊠⪸⇑⪆131124⩒⫫⇑⪆42234))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":751,"operation_count":12,"complexity_ratio":62.583333333333336,"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":1097,"base":5}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":8169,"base":5},"right_expr":{"type":"numeric_atoms","value":5779,"base":5}}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1326,"base":5},"right_expr":{"type":"numeric_atoms","value":3670,"base":5}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2291,"base":5},"right_expr":{"type":"numeric_atoms","value":2003,"base":5}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":4762,"base":5}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":5164,"base":5},"right_expr":{"type":"numeric_atoms","value":2819,"base":5}}}}},"used_operators":["eRqsBgTDFp","opAxDRczMr","w2537kitQq","WYd1w68Nbz","YSKBFp38Pu","4JB6nKBMSY","KmoU8R5UQR","JxwMv5le6e","j9kHMeSvPp","bJkvcejdHO","Z5CJsN7DuW","KFSx94NKJn"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","COABgblf1C","xUOZtlo3hN","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1097","layer":4},{"info":"compute unary expreesion, input=1097, 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=8169","layer":4},{"info":"number node, value=5779","layer":4},{"info":"compute binary expreesion, left_input=8169, right_input=5779, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-66892","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=-66892, 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 = 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=1326","layer":4},{"info":"number node, value=3670","layer":4},{"info":"compute binary expreesion, left_input=1326, right_input=3670, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2291","layer":4},{"info":"number node, value=2003","layer":4},{"info":"compute binary expreesion, left_input=2291, right_input=2003, 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 = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"number node, value=4762","layer":4},{"info":"compute unary expreesion, input=4762, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=5164","layer":4},{"info":"number node, value=2819","layer":4},{"info":"compute binary expreesion, left_input=5164, right_input=2819, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4862","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4862, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-20, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆13342⋩≍≻)∛⇑⪆230134⇤⇑⪆141104)⋹)⪒⊣⊆((⇑⪆20301⨼⩣⇑⪆104140)⨸(⇑⪆33131⪭⇑⪆31003)⇴((↨⩢⫨⇑⪆123022)≎⊠⪸⇑⪆131124⩒⫫⇑⪆42234))=NaN","reverse_text":"NaN=(((⇑⪆13342⋩≍≻)∛⇑⪆230134⇤⇑⪆141104)⋹)⪒⊣⊆((⇑⪆20301⨼⩣⇑⪆104140)⨸(⇑⪆33131⪭⇑⪆31003)⇴((↨⩢⫨⇑⪆123022)≎⊠⪸⇑⪆131124⩒⫫⇑⪆42234))","cot":[{"info":"⇑⪆13342⋩≍≻=⇑⪆-210","layer":3},{"info":"⇑⪆230134⇤⇑⪆141104=⇑⪆-4120032","layer":3},{"info":"⇑⪆-210∛⇑⪆-4120032=⇑⪆232","layer":2},{"info":"⇑⪆232⋹=⇑⪆-40","layer":1},{"info":"⇑⪆20301⨼⩣⇑⪆104140=NaN","layer":3},{"info":"⇑⪆33131⪭⇑⪆31003=⇑⪆10","layer":3},{"info":"NaN⨸⇑⪆10=NaN","layer":2},{"info":"↨⩢⫨⇑⪆123022=⇑⪆0","layer":3},{"info":"⇑⪆131124⩒⫫⇑⪆42234=⇑⪆123422","layer":3},{"info":"⇑⪆0≎⊠⪸⇑⪆123422=⇑⪆-3343","layer":2},{"info":"NaN⇴⇑⪆-3343=NaN","layer":1},{"info":"⇑⪆-40⪒⊣⊆NaN=NaN","layer":0}]}
{"id":401,"expression_no_base_symbol":"(($1570$⪍↜⋙$5488$)↯⫤)≃($1627$⩼⇪↪$6818$⫰⋱$2697$⪪$1483$)⪄(+⊝⨔(⊤⊝$2397$)⪟⇏($1103$⊬⫿⊭))","expression":"((⇑⪆22240⪍↜⋙⇑⪆133423)↯⫤)≃(⇑⪆23002⩼⇪↪⇑⪆204233⫰⋱⇑⪆41242⪪⇑⪆21413)⪄(+⊝⨔(⊤⊝⇑⪆34042)⪟⇏(⇑⪆13403⊬⫿⊭))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8461,"operation_count":11,"complexity_ratio":769.1818181818181,"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":1570,"base":5},"right_expr":{"type":"numeric_atoms","value":5488,"base":5}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1627,"base":5},"right_expr":{"type":"numeric_atoms","value":6818,"base":5}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2697,"base":5},"right_expr":{"type":"numeric_atoms","value":1483,"base":5}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":2397,"base":5}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":1103,"base":5}}}}},"used_operators":["SUmda5xLS4","YbVcJGFEVW","VwlE7vj6HS","L05ObWFQCd","6o9Blt3TJ6","ocnLzx9CaJ","xD69zh8xqp","DhbWaqg5eL","GODebY97qR","rXAclfmB4M","v0DYgG9ikt"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","sdazOOVcIp","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"⇑⪆111404","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1570","layer":4},{"info":"number node, value=5488","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=5488, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-19609","layer":3},{"info":"compute unary expreesion, input=-19609, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=39218","layer":2},{"info":"number node, value=1627","layer":4},{"info":"number node, value=6818","layer":4},{"info":"compute binary expreesion, left_input=1627, right_input=6818, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-45255","layer":3},{"info":"number node, value=2697","layer":4},{"info":"number node, value=1483","layer":4},{"info":"compute binary expreesion, left_input=2697, right_input=1483, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-403336","layer":3},{"info":"compute binary expreesion, left_input=-45255, right_input=-403336, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=448658","layer":2},{"info":"compute binary expreesion, left_input=39218, right_input=448658, 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=-156912","layer":1},{"info":"number node, value=2397","layer":4},{"info":"compute unary expreesion, input=2397, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=3496","layer":3},{"info":"number node, value=1103","layer":4},{"info":"compute unary expreesion, input=1103, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-3309","layer":3},{"info":"compute binary expreesion, left_input=3496, right_input=-3309, 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 = 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=-156912, right_input=1522, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆22240⪍↜⋙⇑⪆133423)↯⫤)≃(⇑⪆23002⩼⇪↪⇑⪆204233⫰⋱⇑⪆41242⪪⇑⪆21413)⪄(+⊝⨔(⊤⊝⇑⪆34042)⪟⇏(⇑⪆13403⊬⫿⊭))=⇑⪆111404","reverse_text":"⇑⪆111404=((⇑⪆22240⪍↜⋙⇑⪆133423)↯⫤)≃(⇑⪆23002⩼⇪↪⇑⪆204233⫰⋱⇑⪆41242⪪⇑⪆21413)⪄(+⊝⨔(⊤⊝⇑⪆34042)⪟⇏(⇑⪆13403⊬⫿⊭))","cot":[{"info":"⇑⪆22240⪍↜⋙⇑⪆133423=⇑⪆-1111414","layer":3},{"info":"⇑⪆-1111414↯⫤=⇑⪆2223333","layer":2},{"info":"⇑⪆23002⩼⇪↪⇑⪆204233=⇑⪆-2422010","layer":3},{"info":"⇑⪆41242⪪⇑⪆21413=⇑⪆-100401321","layer":3},{"info":"⇑⪆-2422010⫰⋱⇑⪆-100401321=⇑⪆103324113","layer":2},{"info":"⇑⪆2223333≃⇑⪆103324113=⇑⪆-20010122","layer":1},{"info":"⊤⊝⇑⪆34042=⇑⪆102441","layer":3},{"info":"⇑⪆13403⊬⫿⊭=⇑⪆-101214","layer":3},{"info":"⇑⪆102441⪟⇏⇑⪆-101214=⇑⪆-1","layer":2},{"info":"+⊝⨔⇑⪆-1=⇑⪆22042","layer":1},{"info":"⇑⪆-20010122⪄⇑⪆22042=⇑⪆111404","layer":0}]}
{"id":402,"expression_no_base_symbol":"↽≂(($1053$⪘⫢$2268$)∺≝⩲($1194$⫥∨⫟$8477$)+(⨵($3699$∓⋝$6425$)))","expression":"↽≂((⇑⪆13203⪘⫢⇑⪆33033)∺≝⩲(⇑⪆14234⫥∨⫟⇑⪆232402)+(⨵(⇑⪆104244∓⋝⇑⪆201200)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":277,"operation_count":7,"complexity_ratio":39.57142857142857,"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":1053,"base":5},"right_expr":{"type":"numeric_atoms","value":2268,"base":5}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1194,"base":5},"right_expr":{"type":"numeric_atoms","value":8477,"base":5}}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3699,"base":5},"right_expr":{"type":"numeric_atoms","value":6425,"base":5}}}}},"used_operators":["u6S6b8DprG","W4YGzv6Whe","KPf6cnQVty","oacrs7FA3X","KYD54nUTWz","Tl3Y52tvF8","PoHhknlbAi"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⇑⪆-42224","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1053","layer":4},{"info":"number node, value=2268","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=2268, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1982","layer":3},{"info":"number node, value=1194","layer":4},{"info":"number node, value=8477","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=8477, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1982, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=3699","layer":4},{"info":"number node, value=6425","layer":4},{"info":"compute binary expreesion, left_input=3699, right_input=6425, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=1247","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=1247, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1407","layer":1},{"info":"compute unary expreesion, input=1407, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2814","layer":0}],"base":5,"result_base":5,"text":"↽≂((⇑⪆13203⪘⫢⇑⪆33033)∺≝⩲(⇑⪆14234⫥∨⫟⇑⪆232402)+(⨵(⇑⪆104244∓⋝⇑⪆201200)))=⇑⪆-42224","reverse_text":"⇑⪆-42224=↽≂((⇑⪆13203⪘⫢⇑⪆33033)∺≝⩲(⇑⪆14234⫥∨⫟⇑⪆232402)+(⨵(⇑⪆104244∓⋝⇑⪆201200)))","cot":[{"info":"⇑⪆13203⪘⫢⇑⪆33033=⇑⪆30412","layer":3},{"info":"⇑⪆14234⫥∨⫟⇑⪆232402=NaN","layer":3},{"info":"⇑⪆30412∺≝⩲NaN=⇑⪆1120","layer":2},{"info":"⇑⪆104244∓⋝⇑⪆201200=⇑⪆232","layer":3},{"info":"⨵⇑⪆232=⇑⪆14442","layer":2},{"info":"⇑⪆1120+⇑⪆14442=⇑⪆21112","layer":1},{"info":"↽≂⇑⪆21112=⇑⪆-42224","layer":0}]}
{"id":403,"expression_no_base_symbol":"(⇋⊎⋝(($1022$∪⫐$2265$)⋹))⨑≵⋬(↴⪽⋼($6958$⩧⪆$3927$∷$1578$⨟⋌⩍$2104$))","expression":"(⇋⊎⋝((⇑⪆13042∪⫐⇑⪆33030)⋹))⨑≵⋬(↴⪽⋼(⇑⪆210313⩧⪆⇑⪆111202∷⇑⪆22303⨟⋌⩍⇑⪆31404))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":244,"operation_count":8,"complexity_ratio":30.5,"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":1022,"base":5},"right_expr":{"type":"numeric_atoms","value":2265,"base":5}}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":6958,"base":5},"right_expr":{"type":"numeric_atoms","value":3927,"base":5}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1578,"base":5},"right_expr":{"type":"numeric_atoms","value":2104,"base":5}}}}},"used_operators":["XnXgA4xnOs","CzM2PEoXns","opAxDRczMr","7YooWSwCyH","5TUYCnJO6w","D3AQDKkPcf","Ikt5ks8PT7","rGHVDoGpnC"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","dWAJyo7jo9","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","rJVOvQCfKK","2DDjHMKMc0","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","9FxExcQeMw","NTOWxs364D","7j4O788W3g","eewbuw0ToL","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1022","layer":4},{"info":"number node, value=2265","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=2265, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1022","layer":3},{"info":"compute unary expreesion, input=1022, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":2},{"info":"compute unary expreesion, input=-20, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=6958","layer":4},{"info":"number node, value=3927","layer":4},{"info":"compute binary expreesion, left_input=6958, right_input=3927, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3927","layer":3},{"info":"number node, value=1578","layer":4},{"info":"number node, value=2104","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=2104, 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=-3927, 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 = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇋⊎⋝((⇑⪆13042∪⫐⇑⪆33030)⋹))⨑≵⋬(↴⪽⋼(⇑⪆210313⩧⪆⇑⪆111202∷⇑⪆22303⨟⋌⩍⇑⪆31404))=NaN","reverse_text":"NaN=(⇋⊎⋝((⇑⪆13042∪⫐⇑⪆33030)⋹))⨑≵⋬(↴⪽⋼(⇑⪆210313⩧⪆⇑⪆111202∷⇑⪆22303⨟⋌⩍⇑⪆31404))","cot":[{"info":"⇑⪆13042∪⫐⇑⪆33030=⇑⪆13042","layer":3},{"info":"⇑⪆13042⋹=⇑⪆-40","layer":2},{"info":"⇋⊎⋝⇑⪆-40=NaN","layer":1},{"info":"⇑⪆210313⩧⪆⇑⪆111202=⇑⪆-111202","layer":3},{"info":"⇑⪆22303⨟⋌⩍⇑⪆31404=NaN","layer":3},{"info":"⇑⪆-111202∷NaN=NaN","layer":2},{"info":"↴⪽⋼NaN=NaN","layer":1},{"info":"NaN⨑≵⋬NaN=NaN","layer":0}]}
{"id":404,"expression_no_base_symbol":"∤((⋠∜$3276$)-($1891$⊚⫡⫭))≥⨤⩑($1199$⫞⩸⩒$5779$)⫞⩸⩒(⋼∭⪍$2425$)","expression":"∤((⋠∜⇑⪆101101)-(⇑⪆30031⊚⫡⫭))≥⨤⩑(⇑⪆14244⫞⩸⩒⇑⪆141104)⫞⩸⩒(⋼∭⪍⇑⪆34200)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":83,"operation_count":8,"complexity_ratio":10.375,"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":3276,"base":5}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":1891,"base":5}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1199,"base":5},"right_expr":{"type":"numeric_atoms","value":5779,"base":5}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":2425,"base":5}}}}},"used_operators":["k2HlF1dBQh","gJLn6v0xnP","rysDP5nf3Z","ZJpFhNJr3x","SpZWOsLKZJ","XGcMNugi78","DbCuESL50I"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG"],"result":"⇑⪆14","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3276","layer":4},{"info":"compute unary expreesion, input=3276, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=15388","layer":3},{"info":"number node, value=1891","layer":4},{"info":"compute unary expreesion, input=1891, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-2856","layer":3},{"info":"compute binary expreesion, left_input=15388, right_input=-2856, op_id = rysDP5nf3Z binary_op_definition= 'None', output=18244","layer":2},{"info":"number node, value=1199","layer":4},{"info":"number node, value=5779","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=5779, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=5779","layer":3},{"info":"number node, value=2425","layer":4},{"info":"compute unary expreesion, input=2425, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-7960","layer":3},{"info":"compute binary expreesion, left_input=5779, right_input=-7960, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=5779","layer":2},{"info":"compute binary expreesion, left_input=18244, right_input=5779, 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 = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":0}],"base":5,"result_base":5,"text":"∤((⋠∜⇑⪆101101)-(⇑⪆30031⊚⫡⫭))≥⨤⩑(⇑⪆14244⫞⩸⩒⇑⪆141104)⫞⩸⩒(⋼∭⪍⇑⪆34200)=⇑⪆14","reverse_text":"⇑⪆14=∤((⋠∜⇑⪆101101)-(⇑⪆30031⊚⫡⫭))≥⨤⩑(⇑⪆14244⫞⩸⩒⇑⪆141104)⫞⩸⩒(⋼∭⪍⇑⪆34200)","cot":[{"info":"⋠∜⇑⪆101101=⇑⪆443023","layer":3},{"info":"⇑⪆30031⊚⫡⫭=⇑⪆-42411","layer":3},{"info":"⇑⪆443023-⇑⪆-42411=⇑⪆1040434","layer":2},{"info":"⇑⪆14244⫞⩸⩒⇑⪆141104=⇑⪆141104","layer":3},{"info":"⋼∭⪍⇑⪆34200=⇑⪆-223320","layer":3},{"info":"⇑⪆141104⫞⩸⩒⇑⪆-223320=⇑⪆141104","layer":2},{"info":"⇑⪆1040434≥⨤⩑⇑⪆141104=⇑⪆14414","layer":1},{"info":"∤⇑⪆14414=⇑⪆14","layer":0}]}
{"id":405,"expression_no_base_symbol":"((⫟$2087$⇣⩺⋵$7040$)%((≅≯⇸$1007$)⨘))⪛⫼(⩎⋉($2844$⊮⊟↴$1620$⫚⫇))","expression":"((⫟⇑⪆31322⇣⩺⋵⇑⪆211130)%((≅≯⇸⇑⪆13012)⨘))⪛⫼(⩎⋉(⇑⪆42334⊮⊟↴⇑⪆22440⫚⫇))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13510,"operation_count":9,"complexity_ratio":1501.111111111111,"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":2087,"base":5},"right_expr":{"type":"numeric_atoms","value":7040,"base":5}}},"right_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1007,"base":5}}}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2844,"base":5},"right_expr":{"type":"numeric_atoms","value":1620,"base":5}}}}},"used_operators":["hyuBjUqXlG","k8jYdgA6NY","z4E1FaHLuy","F4yD0voBRQ","ljcfZBUpm8","apS25hmuAe","FlXk3pOYe8","SdCjLnB6rR","QDVgd2eftb"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","EBcxylXtPf","QMFrweE19q","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"⇑⪆12333","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2087","layer":4},{"info":"number node, value=7040","layer":4},{"info":"compute binary expreesion, left_input=2087, right_input=7040, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-5670","layer":3},{"info":"compute unary expreesion, input=-5670, 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=5432","layer":2},{"info":"number node, value=1007","layer":4},{"info":"compute unary expreesion, input=1007, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=11705","layer":3},{"info":"compute unary expreesion, input=11705, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-82710","layer":2},{"info":"compute binary expreesion, left_input=5432, right_input=-82710, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-77278","layer":1},{"info":"number node, value=2844","layer":4},{"info":"number node, value=1620","layer":4},{"info":"compute binary expreesion, left_input=2844, right_input=1620, 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 = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-1468","layer":2},{"info":"compute unary expreesion, input=-1468, 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=-77278, right_input=1650, 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":5,"result_base":5,"text":"((⫟⇑⪆31322⇣⩺⋵⇑⪆211130)%((≅≯⇸⇑⪆13012)⨘))⪛⫼(⩎⋉(⇑⪆42334⊮⊟↴⇑⪆22440⫚⫇))=⇑⪆12333","reverse_text":"⇑⪆12333=((⫟⇑⪆31322⇣⩺⋵⇑⪆211130)%((≅≯⇸⇑⪆13012)⨘))⪛⫼(⩎⋉(⇑⪆42334⊮⊟↴⇑⪆22440⫚⫇))","cot":[{"info":"⇑⪆31322⇣⩺⋵⇑⪆211130=⇑⪆-140140","layer":3},{"info":"⫟⇑⪆-140140=⇑⪆133212","layer":2},{"info":"≅≯⇸⇑⪆13012=⇑⪆333310","layer":3},{"info":"⇑⪆333310⨘=⇑⪆-10121320","layer":2},{"info":"⇑⪆133212%⇑⪆-10121320=⇑⪆-4433103","layer":1},{"info":"⇑⪆42334⊮⊟↴⇑⪆22440=⇑⪆0","layer":3},{"info":"⇑⪆0⫚⫇=⇑⪆-21333","layer":2},{"info":"⩎⋉⇑⪆-21333=⇑⪆23100","layer":1},{"info":"⇑⪆-4433103⪛⫼⇑⪆23100=⇑⪆12333","layer":0}]}
{"id":406,"expression_no_base_symbol":"(($1187$≝⊿$6559$)⋹⋡⊁($1924$≁$3345$)≹⇙⪍($4630$⫁⪎$6163$∵≐))⋕⪉⪜(((≇⪴$1192$)≭(≱⇩⩕$3814$))⫲≸⪮(($1898$∙⊟$2221$)≭($7176$⋻⩜⩜$2527$)))","expression":"((⇑⪆14222≝⊿⇑⪆202214)⋹⋡⊁(⇑⪆30144≁⇑⪆101340)≹⇙⪍(⇑⪆122010⫁⪎⇑⪆144123∵≐))⋕⪉⪜(((≇⪴⇑⪆14232)≭(≱⇩⩕⇑⪆110224))⫲≸⪮((⇑⪆30043∙⊟⇑⪆32341)≭(⇑⪆212201⋻⩜⩜⇑⪆40102)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":100054,"operation_count":14,"complexity_ratio":7146.714285714285,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1187,"base":5},"right_expr":{"type":"numeric_atoms","value":6559,"base":5}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1924,"base":5},"right_expr":{"type":"numeric_atoms","value":3345,"base":5}}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":4630,"base":5},"right_expr":{"type":"numeric_atoms","value":6163,"base":5}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1192,"base":5}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":3814,"base":5}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1898,"base":5},"right_expr":{"type":"numeric_atoms","value":2221,"base":5}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":7176,"base":5},"right_expr":{"type":"numeric_atoms","value":2527,"base":5}}}}},"used_operators":["z6LnFrNh4i","AHs5Up7iyr","As8RqfVLgs","OKKcZfAt5B","8N2wDY1A35","59igzFyhWz","xRrnTEsQ6j","P3lXMJvFrc","rxpJgHHUmx","zoVPnxeHJ3","3DZMoQKiUl","SxTAKzQCrw","oDCm7WA9JY"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","dWAJyo7jo9","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","12rbrZMWeM","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","AHs5Up7iyr","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⇑⪆1304","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1187","layer":4},{"info":"number node, value=6559","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=6559, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-14838","layer":3},{"info":"number node, value=1924","layer":4},{"info":"number node, value=3345","layer":4},{"info":"compute binary expreesion, left_input=1924, right_input=3345, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=67079","layer":3},{"info":"compute binary expreesion, left_input=-14838, right_input=67079, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=67829","layer":2},{"info":"number node, value=4630","layer":4},{"info":"number node, value=6163","layer":4},{"info":"compute binary expreesion, left_input=4630, right_input=6163, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1533","layer":3},{"info":"compute unary expreesion, input=-1533, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=1083","layer":2},{"info":"compute binary expreesion, left_input=67829, right_input=1083, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1192","layer":4},{"info":"compute unary expreesion, input=1192, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-2236","layer":3},{"info":"number node, value=3814","layer":4},{"info":"compute unary expreesion, input=3814, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-2236, 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":"number node, value=1898","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=1898, right_input=2221, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=34520","layer":3},{"info":"number node, value=7176","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=7176, right_input=2527, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=14352","layer":3},{"info":"compute binary expreesion, left_input=34520, right_input=14352, 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=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=nan, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆14222≝⊿⇑⪆202214)⋹⋡⊁(⇑⪆30144≁⇑⪆101340)≹⇙⪍(⇑⪆122010⫁⪎⇑⪆144123∵≐))⋕⪉⪜(((≇⪴⇑⪆14232)≭(≱⇩⩕⇑⪆110224))⫲≸⪮((⇑⪆30043∙⊟⇑⪆32341)≭(⇑⪆212201⋻⩜⩜⇑⪆40102)))=⇑⪆1304","reverse_text":"⇑⪆1304=((⇑⪆14222≝⊿⇑⪆202214)⋹⋡⊁(⇑⪆30144≁⇑⪆101340)≹⇙⪍(⇑⪆122010⫁⪎⇑⪆144123∵≐))⋕⪉⪜(((≇⪴⇑⪆14232)≭(≱⇩⩕⇑⪆110224))⫲≸⪮((⇑⪆30043∙⊟⇑⪆32341)≭(⇑⪆212201⋻⩜⩜⇑⪆40102)))","cot":[{"info":"⇑⪆14222≝⊿⇑⪆202214=⇑⪆-433323","layer":3},{"info":"⇑⪆30144≁⇑⪆101340=⇑⪆4121304","layer":3},{"info":"⇑⪆-433323⋹⋡⊁⇑⪆4121304=⇑⪆4132304","layer":2},{"info":"⇑⪆122010⫁⪎⇑⪆144123=⇑⪆-22113","layer":3},{"info":"⇑⪆-22113∵≐=⇑⪆13313","layer":2},{"info":"⇑⪆4132304≹⇙⪍⇑⪆13313=NaN","layer":1},{"info":"≇⪴⇑⪆14232=⇑⪆-32421","layer":3},{"info":"≱⇩⩕⇑⪆110224=⇑⪆423","layer":3},{"info":"⇑⪆-32421≭⇑⪆423=NaN","layer":2},{"info":"⇑⪆30043∙⊟⇑⪆32341=⇑⪆2101040","layer":3},{"info":"⇑⪆212201⋻⩜⩜⇑⪆40102=⇑⪆424402","layer":3},{"info":"⇑⪆2101040≭⇑⪆424402=NaN","layer":2},{"info":"NaN⫲≸⪮NaN=NaN","layer":1},{"info":"NaN⋕⪉⪜NaN=⇑⪆1304","layer":0}]}
{"id":407,"expression_no_base_symbol":"((∑⇻≧(↨$1462$))⪄(⊀(⨴⫝$3229$)))⩧⪆(⨦⪝(∤↝$1005$≨$3333$))","expression":"((∑⇻≧(↨⇑⪆21322))⪄(⊀(⨴⫝⇑⪆100404)))⩧⪆(⨦⪝(∤↝⇑⪆13010≨⇑⪆101313))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2197,"operation_count":9,"complexity_ratio":244.11111111111111,"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":1462,"base":5}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":3229,"base":5}}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1005,"base":5},"right_expr":{"type":"numeric_atoms","value":3333,"base":5}}}}},"used_operators":["Ikt5ks8PT7","SUmda5xLS4","l1M9WJ3V7u","jiX4gk2v2Q","oPMjh9089D","SVb2v531z1","SUjycxNXIR","3UMq87Qwqg","0KMCeP1Jsh"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","rGHVDoGpnC","oZj3VtZNQx","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"⇑⪆30014","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1462","layer":4},{"info":"compute unary expreesion, input=1462, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', 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":"number node, value=3229","layer":4},{"info":"compute unary expreesion, input=3229, 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 = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=11312530","layer":2},{"info":"compute binary expreesion, left_input=-852, right_input=11312530, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=1005","layer":4},{"info":"number node, value=3333","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=3333, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-7574","layer":3},{"info":"compute unary expreesion, input=-7574, 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=-7574","layer":2},{"info":"compute unary expreesion, input=-7574, 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=3979, right_input=-1884, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=1884","layer":0}],"base":5,"result_base":5,"text":"((∑⇻≧(↨⇑⪆21322))⪄(⊀(⨴⫝⇑⪆100404)))⩧⪆(⨦⪝(∤↝⇑⪆13010≨⇑⪆101313))=⇑⪆30014","reverse_text":"⇑⪆30014=((∑⇻≧(↨⇑⪆21322))⪄(⊀(⨴⫝⇑⪆100404)))⩧⪆(⨦⪝(∤↝⇑⪆13010≨⇑⪆101313))","cot":[{"info":"↨⇑⪆21322=NaN","layer":3},{"info":"∑⇻≧NaN=⇑⪆-11402","layer":2},{"info":"⨴⫝⇑⪆100404=⇑⪆1211000243","layer":3},{"info":"⊀⇑⪆1211000243=⇑⪆10344000110","layer":2},{"info":"⇑⪆-11402⪄⇑⪆10344000110=⇑⪆111404","layer":1},{"info":"⇑⪆13010≨⇑⪆101313=⇑⪆-220244","layer":3},{"info":"∤↝⇑⪆-220244=⇑⪆-220244","layer":2},{"info":"⨦⪝⇑⪆-220244=⇑⪆-30014","layer":1},{"info":"⇑⪆111404⩧⪆⇑⪆-30014=⇑⪆30014","layer":0}]}
{"id":408,"expression_no_base_symbol":"(⩪∧⨌$5535$∓⋝$2595$⊲⩕⊾($1067$≄⊠$2531$))⨓($5415$∑⇟⊟$6624$∙∹∝(↯⪼$4046$))↹⊜($4050$⫣⪄⊒$4429$⨉)","expression":"(⩪∧⨌⇑⪆134120∓⋝⇑⪆40340⊲⩕⊾(⇑⪆13232≄⊠⇑⪆40111))⨓(⇑⪆133130∑⇟⊟⇑⪆202444∙∹∝(↯⪼⇑⪆112141))↹⊜(⇑⪆112200⫣⪄⊒⇑⪆120204⨉)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19219,"operation_count":11,"complexity_ratio":1747.1818181818182,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":5535,"base":5},"right_expr":{"type":"numeric_atoms","value":2595,"base":5}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1067,"base":5},"right_expr":{"type":"numeric_atoms","value":2531,"base":5}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5415,"base":5},"right_expr":{"type":"numeric_atoms","value":6624,"base":5}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4046,"base":5}}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4050,"base":5},"right_expr":{"type":"numeric_atoms","value":4429,"base":5}}}}},"used_operators":["3ViojmjbAp","6iOiAJX1F8","DmTXOeWf9t","PoHhknlbAi","vXNesLlMH1","9bazX3JMtO","HmxsFra2vL","U7g4x0WXJJ","8jW3W4yZS5","aMUSaJuDRU","RabNbG55vr"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5535","layer":4},{"info":"number node, value=2595","layer":4},{"info":"compute binary expreesion, left_input=5535, right_input=2595, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=1067","layer":4},{"info":"number node, value=2531","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=2531, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=45164","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=45164, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-449342","layer":2},{"info":"compute unary expreesion, input=-449342, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-4493420","layer":1},{"info":"number node, value=5415","layer":4},{"info":"number node, value=6624","layer":4},{"info":"compute binary expreesion, left_input=5415, right_input=6624, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4046","layer":4},{"info":"compute unary expreesion, input=4046, 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 = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"number node, value=4050","layer":4},{"info":"number node, value=4429","layer":4},{"info":"compute binary expreesion, left_input=4050, right_input=4429, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-18986","layer":3},{"info":"compute unary expreesion, input=-18986, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=-35644","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-35644, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4493420, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⩪∧⨌⇑⪆134120∓⋝⇑⪆40340⊲⩕⊾(⇑⪆13232≄⊠⇑⪆40111))⨓(⇑⪆133130∑⇟⊟⇑⪆202444∙∹∝(↯⪼⇑⪆112141))↹⊜(⇑⪆112200⫣⪄⊒⇑⪆120204⨉)=NaN","reverse_text":"NaN=(⩪∧⨌⇑⪆134120∓⋝⇑⪆40340⊲⩕⊾(⇑⪆13232≄⊠⇑⪆40111))⨓(⇑⪆133130∑⇟⊟⇑⪆202444∙∹∝(↯⪼⇑⪆112141))↹⊜(⇑⪆112200⫣⪄⊒⇑⪆120204⨉)","cot":[{"info":"⇑⪆134120∓⋝⇑⪆40340=⇑⪆232","layer":3},{"info":"⇑⪆13232≄⊠⇑⪆40111=⇑⪆2421124","layer":3},{"info":"⇑⪆232⊲⩕⊾⇑⪆2421124=⇑⪆-103334332","layer":2},{"info":"⩪∧⨌⇑⪆-103334332=⇑⪆-2122242140","layer":1},{"info":"⇑⪆133130∑⇟⊟⇑⪆202444=NaN","layer":3},{"info":"↯⪼⇑⪆112141=⇑⪆-41","layer":3},{"info":"NaN∙∹∝⇑⪆-41=NaN","layer":2},{"info":"⇑⪆112200⫣⪄⊒⇑⪆120204=⇑⪆-1101421","layer":3},{"info":"⇑⪆-1101421⨉=⇑⪆-2120034","layer":2},{"info":"NaN↹⊜⇑⪆-2120034=NaN","layer":1},{"info":"⇑⪆-2122242140⨓NaN=NaN","layer":0}]}
{"id":409,"expression_no_base_symbol":"((⊗($1575$⫔⩽⩺$1035$))⊿∆)⋥⋵⩄(∟⋨(↥($1730$∙∹∝$3649$)))","expression":"((⊗(⇑⪆22300⫔⩽⩺⇑⪆13120))⊿∆)⋥⋵⩄(∟⋨(↥(⇑⪆23410∙∹∝⇑⪆104044)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":88,"operation_count":7,"complexity_ratio":12.571428571428571,"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":1575,"base":5},"right_expr":{"type":"numeric_atoms","value":1035,"base":5}}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1730,"base":5},"right_expr":{"type":"numeric_atoms","value":3649,"base":5}}}}},"used_operators":["7t3wd0Fuz7","fv3ZujxkQL","RhiyfpczSx","i9eR4S00cU","ctOc4cKSDt","A8NUZmVepG","HmxsFra2vL"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","NTOWxs364D","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","Tw270M8GLb","fu6greOZ01","eLAdDNolq6","tmPS8pqC7x","k8jYdgA6NY","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1575","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=1035, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=nan","layer":1},{"info":"number node, value=1730","layer":4},{"info":"number node, value=3649","layer":4},{"info":"compute binary expreesion, left_input=1730, right_input=3649, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=484","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=484, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⊗(⇑⪆22300⫔⩽⩺⇑⪆13120))⊿∆)⋥⋵⩄(∟⋨(↥(⇑⪆23410∙∹∝⇑⪆104044)))=NaN","reverse_text":"NaN=((⊗(⇑⪆22300⫔⩽⩺⇑⪆13120))⊿∆)⋥⋵⩄(∟⋨(↥(⇑⪆23410∙∹∝⇑⪆104044)))","cot":[{"info":"⇑⪆22300⫔⩽⩺⇑⪆13120=NaN","layer":3},{"info":"⊗NaN=NaN","layer":2},{"info":"NaN⊿∆=NaN","layer":1},{"info":"⇑⪆23410∙∹∝⇑⪆104044=⇑⪆0","layer":3},{"info":"↥⇑⪆0=⇑⪆0","layer":2},{"info":"∟⋨⇑⪆0=⇑⪆3414","layer":1},{"info":"NaN⋥⋵⩄⇑⪆3414=NaN","layer":0}]}
{"id":410,"expression_no_base_symbol":"((($4238$⩘⨬⇊)⊨(≔$1381$))≠≀(($6412$⨒$3150$)⨔≚≋($1005$⨵⪆$6797$)))⪢(⩦⩻⨪($1118$⫑)⪎↠($6961$↱$4018$))","expression":"(((⇑⪆113423⩘⨬⇊)⊨(≔⇑⪆21011))≠≀((⇑⪆201122⨒⇑⪆100100)⨔≚≋(⇑⪆13010⨵⪆⇑⪆204142)))⪢(⩦⩻⨪(⇑⪆13433⫑)⪎↠(⇑⪆210321↱⇑⪆112033))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5620,"operation_count":12,"complexity_ratio":468.3333333333333,"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":4238,"base":5}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1381,"base":5}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":6412,"base":5},"right_expr":{"type":"numeric_atoms","value":3150,"base":5}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1005,"base":5},"right_expr":{"type":"numeric_atoms","value":6797,"base":5}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":1118,"base":5}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":6961,"base":5},"right_expr":{"type":"numeric_atoms","value":4018,"base":5}}}}},"used_operators":["dWAJyo7jo9","IwW236VD4Y","vg4gO5BX6G","XXmTpEpWTW","8FLs4eVsLt","Z57zeUYC9z","y75s1iXyHd","2DQ55sFlQl","2td37pGCOC","3tVxb0NHM4","CgIo77xlM2","SR5kFfdi6N"],"dependent_operators":["k8jYdgA6NY","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4238","layer":4},{"info":"compute unary expreesion, input=4238, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"number node, value=1381","layer":4},{"info":"compute unary expreesion, input=1381, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-37374","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-37374, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":2},{"info":"number node, value=6412","layer":4},{"info":"number node, value=3150","layer":4},{"info":"compute binary expreesion, left_input=6412, right_input=3150, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-38100","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=6797","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=6797, 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=-38100, right_input=160, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=605560","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=605560, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":1},{"info":"number node, value=1118","layer":4},{"info":"compute unary expreesion, input=1118, 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=6961","layer":4},{"info":"number node, value=4018","layer":4},{"info":"compute binary expreesion, left_input=6961, right_input=4018, 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=-11532","layer":3},{"info":"compute binary expreesion, left_input=3979, right_input=-11532, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":5,"result_base":5,"text":"(((⇑⪆113423⩘⨬⇊)⊨(≔⇑⪆21011))≠≀((⇑⪆201122⨒⇑⪆100100)⨔≚≋(⇑⪆13010⨵⪆⇑⪆204142)))⪢(⩦⩻⨪(⇑⪆13433⫑)⪎↠(⇑⪆210321↱⇑⪆112033))=NaN","reverse_text":"NaN=(((⇑⪆113423⩘⨬⇊)⊨(≔⇑⪆21011))≠≀((⇑⪆201122⨒⇑⪆100100)⨔≚≋(⇑⪆13010⨵⪆⇑⪆204142)))⪢(⩦⩻⨪(⇑⪆13433⫑)⪎↠(⇑⪆210321↱⇑⪆112033))","cot":[{"info":"⇑⪆113423⩘⨬⇊=NaN","layer":3},{"info":"≔⇑⪆21011=⇑⪆-2143444","layer":3},{"info":"NaN⊨⇑⪆-2143444=NaN","layer":2},{"info":"⇑⪆201122⨒⇑⪆100100=⇑⪆-2204400","layer":3},{"info":"⇑⪆13010⨵⪆⇑⪆204142=⇑⪆1120","layer":3},{"info":"⇑⪆-2204400⨔≚≋⇑⪆1120=⇑⪆123334220","layer":2},{"info":"NaN≠≀⇑⪆123334220=NaN","layer":1},{"info":"⇑⪆13433⫑=⇑⪆111404","layer":3},{"info":"⇑⪆210321↱⇑⪆112033=⇑⪆-332112","layer":3},{"info":"⇑⪆111404⪎↠⇑⪆-332112=⇑⪆1120","layer":2},{"info":"⩦⩻⨪⇑⪆1120=⇑⪆1120","layer":1},{"info":"NaN⪢⇑⪆1120=NaN","layer":0}]}
{"id":411,"expression_no_base_symbol":"↓⇌(⨣⨃⇪(⇐$2776$))⋹⋡⊁($5218$∋$1059$⩷∴($3584$⪉⨛$3827$))","expression":"↓⇌(⨣⨃⇪(⇐⇑⪆42101))⋹⋡⊁(⇑⪆131333∋⇑⪆13214⩷∴(⇑⪆103314⪉⨛⇑⪆110302))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":62735,"operation_count":7,"complexity_ratio":8962.142857142857,"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":2776,"base":5}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":5218,"base":5},"right_expr":{"type":"numeric_atoms","value":1059,"base":5}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":3584,"base":5},"right_expr":{"type":"numeric_atoms","value":3827,"base":5}}}}},"used_operators":["PxpmPgHHJV","As8RqfVLgs","AcOhelriW5","nmZMaaE0Q9","9FxExcQeMw","ukq6epAj5P","EWw2JM7wp4"],"dependent_operators":["23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","rysDP5nf3Z","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"⇑⪆2212412022","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2776","layer":4},{"info":"compute unary expreesion, input=2776, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=3882","layer":3},{"info":"compute unary expreesion, input=3882, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"number node, value=5218","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=5218, right_input=1059, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2411912","layer":3},{"info":"number node, value=3584","layer":4},{"info":"number node, value=3827","layer":4},{"info":"compute binary expreesion, left_input=3584, right_input=3827, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=7140","layer":3},{"info":"compute binary expreesion, left_input=2411912, right_input=7140, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4809512","layer":2},{"info":"compute binary expreesion, left_input=1405, right_input=4809512, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4810262","layer":1},{"info":"compute unary expreesion, input=4810262, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=4810262","layer":0}],"base":5,"result_base":5,"text":"↓⇌(⨣⨃⇪(⇐⇑⪆42101))⋹⋡⊁(⇑⪆131333∋⇑⪆13214⩷∴(⇑⪆103314⪉⨛⇑⪆110302))=⇑⪆2212412022","reverse_text":"⇑⪆2212412022=↓⇌(⨣⨃⇪(⇐⇑⪆42101))⋹⋡⊁(⇑⪆131333∋⇑⪆13214⩷∴(⇑⪆103314⪉⨛⇑⪆110302))","cot":[{"info":"⇐⇑⪆42101=⇑⪆111012","layer":3},{"info":"⨣⨃⇪⇑⪆111012=⇑⪆21110","layer":2},{"info":"⇑⪆131333∋⇑⪆13214=⇑⪆1104140122","layer":3},{"info":"⇑⪆103314⪉⨛⇑⪆110302=⇑⪆212030","layer":3},{"info":"⇑⪆1104140122⩷∴⇑⪆212030=⇑⪆2212401022","layer":2},{"info":"⇑⪆21110⋹⋡⊁⇑⪆2212401022=⇑⪆2212412022","layer":1},{"info":"↓⇌⇑⪆2212412022=⇑⪆2212412022","layer":0}]}
{"id":412,"expression_no_base_symbol":"(($1374$⪭$2134$)∛(≑⋹$4627$))∇⊂⋱(($5049$⋩≍≻)↬($2193$∕⩚$2652$))⊹∫⫚(($8148$⫥∨⫟$8562$)∑⇟⊟($1055$∙∹∝$5780$))↓($4657$⇷$3611$⫸⇳$1202$≎⊠⪸$3067$)","expression":"((⇑⪆20444⪭⇑⪆32014)∛(≑⋹⇑⪆122002))∇⊂⋱((⇑⪆130144⋩≍≻)↬(⇑⪆32233∕⩚⇑⪆41102))⊹∫⫚((⇑⪆230043⫥∨⫟⇑⪆233222)∑⇟⊟(⇑⪆13210∙∹∝⇑⪆141110))↓(⇑⪆122112⇷⇑⪆103421⫸⇳⇑⪆14302≎⊠⪸⇑⪆44232)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":68416,"operation_count":15,"complexity_ratio":4561.066666666667,"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":1374,"base":5},"right_expr":{"type":"numeric_atoms","value":2134,"base":5}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":4627,"base":5}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":5049,"base":5}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2193,"base":5},"right_expr":{"type":"numeric_atoms","value":2652,"base":5}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":8148,"base":5},"right_expr":{"type":"numeric_atoms","value":8562,"base":5}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1055,"base":5},"right_expr":{"type":"numeric_atoms","value":5780,"base":5}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4657,"base":5},"right_expr":{"type":"numeric_atoms","value":3611,"base":5}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1202,"base":5},"right_expr":{"type":"numeric_atoms","value":3067,"base":5}}}}},"used_operators":["uWAJUKEvyW","nhYeJWJD5X","w2537kitQq","j9kHMeSvPp","6B9nyZLogK","B5M0gjZbta","WYd1w68Nbz","z9ffQ9n5Zr","Af076pWI7l","U7g4x0WXJJ","KYD54nUTWz","HmxsFra2vL","gx7XJ7hdpj","mp7IySMOzn","bJkvcejdHO"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","COABgblf1C","xUOZtlo3hN","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","rGHVDoGpnC","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⇑⪆-1201","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1374","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=2134, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=4627","layer":4},{"info":"compute unary expreesion, input=4627, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=1650, 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=5049","layer":4},{"info":"compute unary expreesion, input=5049, 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=2193","layer":4},{"info":"number node, value=2652","layer":4},{"info":"compute binary expreesion, left_input=2193, right_input=2652, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2196","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=-2196, 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=-676, 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=8148","layer":4},{"info":"number node, value=8562","layer":4},{"info":"compute binary expreesion, left_input=8148, right_input=8562, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1055","layer":4},{"info":"number node, value=5780","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=5780, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=4657","layer":4},{"info":"number node, value=3611","layer":4},{"info":"compute binary expreesion, left_input=4657, right_input=3611, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7222","layer":3},{"info":"number node, value=1202","layer":4},{"info":"number node, value=3067","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=3067, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=310845","layer":3},{"info":"compute binary expreesion, left_input=7222, right_input=310845, 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 = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-242","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-242, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-176","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆20444⪭⇑⪆32014)∛(≑⋹⇑⪆122002))∇⊂⋱((⇑⪆130144⋩≍≻)↬(⇑⪆32233∕⩚⇑⪆41102))⊹∫⫚((⇑⪆230043⫥∨⫟⇑⪆233222)∑⇟⊟(⇑⪆13210∙∹∝⇑⪆141110))↓(⇑⪆122112⇷⇑⪆103421⫸⇳⇑⪆14302≎⊠⪸⇑⪆44232)=⇑⪆-1201","reverse_text":"⇑⪆-1201=((⇑⪆20444⪭⇑⪆32014)∛(≑⋹⇑⪆122002))∇⊂⋱((⇑⪆130144⋩≍≻)↬(⇑⪆32233∕⩚⇑⪆41102))⊹∫⫚((⇑⪆230043⫥∨⫟⇑⪆233222)∑⇟⊟(⇑⪆13210∙∹∝⇑⪆141110))↓(⇑⪆122112⇷⇑⪆103421⫸⇳⇑⪆14302≎⊠⪸⇑⪆44232)","cot":[{"info":"⇑⪆20444⪭⇑⪆32014=⇑⪆10","layer":3},{"info":"≑⋹⇑⪆122002=⇑⪆23100","layer":3},{"info":"⇑⪆10∛⇑⪆23100=⇑⪆-10201","layer":2},{"info":"⇑⪆130144⋩≍≻=⇑⪆-210","layer":3},{"info":"⇑⪆32233∕⩚⇑⪆41102=⇑⪆-32241","layer":3},{"info":"⇑⪆-210↬⇑⪆-32241=NaN","layer":2},{"info":"⇑⪆-10201∇⊂⋱NaN=NaN","layer":1},{"info":"⇑⪆230043⫥∨⫟⇑⪆233222=NaN","layer":3},{"info":"⇑⪆13210∙∹∝⇑⪆141110=⇑⪆0","layer":3},{"info":"NaN∑⇟⊟⇑⪆0=NaN","layer":2},{"info":"⇑⪆122112⇷⇑⪆103421=⇑⪆212342","layer":3},{"info":"⇑⪆14302≎⊠⪸⇑⪆44232=⇑⪆34421340","layer":3},{"info":"⇑⪆212342⫸⇳⇑⪆34421340=⇑⪆0","layer":2},{"info":"NaN↓⇑⪆0=⇑⪆-1432","layer":1},{"info":"NaN⊹∫⫚⇑⪆-1432=⇑⪆-1201","layer":0}]}
{"id":413,"expression_no_base_symbol":"(($1543$⨐⩸⫘$5451$)⨿($1019$∪⫐$7150$)⨒($1200$⇤$1043$⊵↤))⩍⋽⫝̸((⨭⩧⫛(⪛⨧$1130$))∪⫐($1633$∁)-$3510$∳⫺$2854$)","expression":"((⇑⪆22133⨐⩸⫘⇑⪆133301)⨿(⇑⪆13034∪⫐⇑⪆212100)⨒(⇑⪆14300⇤⇑⪆13133⊵↤))⩍⋽⫝̸((⨭⩧⫛(⪛⨧⇑⪆14010))∪⫐(⇑⪆23013∁)-⇑⪆103020∳⫺⇑⪆42404)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":443,"operation_count":13,"complexity_ratio":34.07692307692308,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1543,"base":5},"right_expr":{"type":"numeric_atoms","value":5451,"base":5}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1019,"base":5},"right_expr":{"type":"numeric_atoms","value":7150,"base":5}}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1200,"base":5},"right_expr":{"type":"numeric_atoms","value":1043,"base":5}}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1130,"base":5}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":1633,"base":5}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3510,"base":5},"right_expr":{"type":"numeric_atoms","value":2854,"base":5}}}}},"used_operators":["BiWNJpBvwn","y75s1iXyHd","abYXlopdE0","fu6greOZ01","7YooWSwCyH","7IPrd9c3lf","YSKBFp38Pu","g21JL6JxX7","6NJAcO2OWT","rysDP5nf3Z","jdwGQqwJi5","AzXXKTstlj"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","3ViojmjbAp","rJVOvQCfKK","2DDjHMKMc0","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","2DDjHMKMc0","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1543","layer":4},{"info":"number node, value=5451","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=5451, 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=1019","layer":4},{"info":"number node, value=7150","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=7150, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1019","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1019, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=1200","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=1043, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-8367","layer":3},{"info":"compute unary expreesion, input=-8367, 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=49419","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=49419, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=100","layer":1},{"info":"number node, value=1130","layer":4},{"info":"compute unary expreesion, input=1130, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=3661","layer":3},{"info":"compute unary expreesion, input=3661, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"number node, value=1633","layer":4},{"info":"compute unary expreesion, input=1633, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=1633","layer":3},{"info":"number node, value=3510","layer":4},{"info":"number node, value=2854","layer":4},{"info":"compute binary expreesion, left_input=3510, right_input=2854, 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=1633, right_input=-260, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1893","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1893, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=100, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆22133⨐⩸⫘⇑⪆133301)⨿(⇑⪆13034∪⫐⇑⪆212100)⨒(⇑⪆14300⇤⇑⪆13133⊵↤))⩍⋽⫝̸((⨭⩧⫛(⪛⨧⇑⪆14010))∪⫐(⇑⪆23013∁)-⇑⪆103020∳⫺⇑⪆42404)=NaN","reverse_text":"NaN=((⇑⪆22133⨐⩸⫘⇑⪆133301)⨿(⇑⪆13034∪⫐⇑⪆212100)⨒(⇑⪆14300⇤⇑⪆13133⊵↤))⩍⋽⫝̸((⨭⩧⫛(⪛⨧⇑⪆14010))∪⫐(⇑⪆23013∁)-⇑⪆103020∳⫺⇑⪆42404)","cot":[{"info":"⇑⪆22133⨐⩸⫘⇑⪆133301=NaN","layer":3},{"info":"⇑⪆13034∪⫐⇑⪆212100=⇑⪆13034","layer":3},{"info":"NaN⨿⇑⪆13034=⇑⪆232","layer":2},{"info":"⇑⪆14300⇤⇑⪆13133=⇑⪆-231432","layer":3},{"info":"⇑⪆-231432⊵↤=⇑⪆3040134","layer":2},{"info":"⇑⪆232⨒⇑⪆3040134=⇑⪆400","layer":1},{"info":"⪛⨧⇑⪆14010=⇑⪆104121","layer":3},{"info":"⨭⩧⫛⇑⪆104121=NaN","layer":2},{"info":"⇑⪆23013∁=⇑⪆23013","layer":3},{"info":"⇑⪆103020∳⫺⇑⪆42404=⇑⪆-2020","layer":3},{"info":"⇑⪆23013-⇑⪆-2020=⇑⪆30033","layer":2},{"info":"NaN∪⫐⇑⪆30033=NaN","layer":1},{"info":"⇑⪆400⩍⋽⫝̸NaN=NaN","layer":0}]}
{"id":414,"expression_no_base_symbol":"(($1077$≓∲$4405$)∸)⇡⇂($1119$⨂≜$3798$⨵⪆$3200$⩧⪆$1326$)⪎↠(⋗⩴⪓(↸⊣$2055$)∳⫺($5174$∪⫐$5025$))","expression":"((⇑⪆13302≓∲⇑⪆120110)∸)⇡⇂(⇑⪆13434⨂≜⇑⪆110143⨵⪆⇑⪆100300⩧⪆⇑⪆20301)⪎↠(⋗⩴⪓(↸⊣⇑⪆31210)∳⫺(⇑⪆131144∪⫐⇑⪆130100))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":35706,"operation_count":11,"complexity_ratio":3246.0,"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":1077,"base":5},"right_expr":{"type":"numeric_atoms","value":4405,"base":5}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1119,"base":5},"right_expr":{"type":"numeric_atoms","value":3798,"base":5}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3200,"base":5},"right_expr":{"type":"numeric_atoms","value":1326,"base":5}}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2055,"base":5}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":5174,"base":5},"right_expr":{"type":"numeric_atoms","value":5025,"base":5}}}}},"used_operators":["3tVxb0NHM4","UMwdvZNt44","o20kRiQErp","s1XTVnmDOJ","2DQ55sFlQl","k1SHOSEABc","Ikt5ks8PT7","nOKPl9n5zu","AzXXKTstlj","wztAlM01eG","7YooWSwCyH"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","tmPS8pqC7x","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eewbuw0ToL","t8gj7n24qd","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","rJVOvQCfKK","2DDjHMKMc0"],"result":"⇑⪆10223","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1077","layer":4},{"info":"number node, value=4405","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=4405, 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=11553","layer":3},{"info":"compute unary expreesion, input=11553, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=1119","layer":4},{"info":"number node, value=3798","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=3798, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=3200","layer":4},{"info":"number node, value=1326","layer":4},{"info":"compute binary expreesion, left_input=3200, right_input=1326, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1326","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1326, 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=177, right_input=160, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-180","layer":1},{"info":"number node, value=2055","layer":4},{"info":"compute unary expreesion, input=2055, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1768","layer":3},{"info":"number node, value=5174","layer":4},{"info":"number node, value=5025","layer":4},{"info":"compute binary expreesion, left_input=5174, right_input=5025, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5174","layer":3},{"info":"compute binary expreesion, left_input=-1768, right_input=5174, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-17358","layer":2},{"info":"compute unary expreesion, input=-17358, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=72052","layer":1},{"info":"compute binary expreesion, left_input=-180, right_input=72052, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=688","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆13302≓∲⇑⪆120110)∸)⇡⇂(⇑⪆13434⨂≜⇑⪆110143⨵⪆⇑⪆100300⩧⪆⇑⪆20301)⪎↠(⋗⩴⪓(↸⊣⇑⪆31210)∳⫺(⇑⪆131144∪⫐⇑⪆130100))=⇑⪆10223","reverse_text":"⇑⪆10223=((⇑⪆13302≓∲⇑⪆120110)∸)⇡⇂(⇑⪆13434⨂≜⇑⪆110143⨵⪆⇑⪆100300⩧⪆⇑⪆20301)⪎↠(⋗⩴⪓(↸⊣⇑⪆31210)∳⫺(⇑⪆131144∪⫐⇑⪆130100))","cot":[{"info":"⇑⪆13302≓∲⇑⪆120110=⇑⪆332203","layer":3},{"info":"⇑⪆332203∸=⇑⪆1202","layer":2},{"info":"⇑⪆13434⨂≜⇑⪆110143=NaN","layer":3},{"info":"⇑⪆100300⩧⪆⇑⪆20301=⇑⪆-20301","layer":3},{"info":"NaN⨵⪆⇑⪆-20301=⇑⪆1120","layer":2},{"info":"⇑⪆1202⇡⇂⇑⪆1120=⇑⪆-1210","layer":1},{"info":"↸⊣⇑⪆31210=⇑⪆-24033","layer":3},{"info":"⇑⪆131144∪⫐⇑⪆130100=⇑⪆131144","layer":3},{"info":"⇑⪆-24033∳⫺⇑⪆131144=⇑⪆-1023413","layer":2},{"info":"⋗⩴⪓⇑⪆-1023413=⇑⪆4301202","layer":1},{"info":"⇑⪆-1210⪎↠⇑⪆4301202=⇑⪆10223","layer":0}]}
{"id":415,"expression_no_base_symbol":"($1791$⨳⩥⨓$1759$⨒(⨂⪏⇭$6496$))⫗⊷⫓($2160$⨫⇇↔$6077$≀⩗∶$5692$≀⩗∶$6443$)≨(($1104$⪉⨛$5374$)⩁⩘(⨴⫝$2141$)⫸⊐(⨵≀≌(⪲⇎$1419$)))","expression":"(⇑⪆24131⨳⩥⨓⇑⪆24014⨒(⨂⪏⇭⇑⪆201441))⫗⊷⫓(⇑⪆32120⨫⇇↔⇑⪆143302≀⩗∶⇑⪆140232≀⩗∶⇑⪆201233)≨((⇑⪆13404⪉⨛⇑⪆132444)⩁⩘(⨴⫝⇑⪆32031)⫸⊐(⨵≀≌(⪲⇎⇑⪆21134)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":92350,"operation_count":14,"complexity_ratio":6596.428571428572,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1791,"base":5},"right_expr":{"type":"numeric_atoms","value":1759,"base":5}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":6496,"base":5}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2160,"base":5},"right_expr":{"type":"numeric_atoms","value":6077,"base":5}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":5692,"base":5},"right_expr":{"type":"numeric_atoms","value":6443,"base":5}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1104,"base":5},"right_expr":{"type":"numeric_atoms","value":5374,"base":5}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":2141,"base":5}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1419,"base":5}}}}},"used_operators":["0KMCeP1Jsh","zashukvMKz","y75s1iXyHd","nCS4ZIUYfx","AYdpE9sXAk","8INZBEW696","LXhwmt4mBO","mqXw5SEYmG","gub5Cegaqo","EWw2JM7wp4","SVb2v531z1","srAu1WTS94","XPYlsWDdGa"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","rysDP5nf3Z","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DpFCA1CohY","IWmyXbctLI","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆1140","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1791","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=1791, right_input=1759, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-32","layer":3},{"info":"number node, value=6496","layer":4},{"info":"compute unary expreesion, input=6496, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=18509","layer":3},{"info":"compute binary expreesion, left_input=-32, right_input=18509, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1648656","layer":2},{"info":"number node, value=2160","layer":4},{"info":"number node, value=6077","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=6077, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=5692","layer":4},{"info":"number node, value=6443","layer":4},{"info":"compute binary expreesion, left_input=5692, right_input=6443, 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=-527, right_input=-3, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1648656, 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":1},{"info":"number node, value=1104","layer":4},{"info":"number node, value=5374","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=5374, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-1847","layer":3},{"info":"number node, value=2141","layer":4},{"info":"compute unary expreesion, input=2141, 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=-1847, right_input=2828198, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=11313740","layer":2},{"info":"number node, value=1419","layer":4},{"info":"compute unary expreesion, input=1419, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2838","layer":3},{"info":"compute unary expreesion, input=2838, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-8514","layer":2},{"info":"compute binary expreesion, left_input=11313740, right_input=-8514, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-17157","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-17157, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=170","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆24131⨳⩥⨓⇑⪆24014⨒(⨂⪏⇭⇑⪆201441))⫗⊷⫓(⇑⪆32120⨫⇇↔⇑⪆143302≀⩗∶⇑⪆140232≀⩗∶⇑⪆201233)≨((⇑⪆13404⪉⨛⇑⪆132444)⩁⩘(⨴⫝⇑⪆32031)⫸⊐(⨵≀≌(⪲⇎⇑⪆21134)))=⇑⪆1140","reverse_text":"⇑⪆1140=(⇑⪆24131⨳⩥⨓⇑⪆24014⨒(⨂⪏⇭⇑⪆201441))⫗⊷⫓(⇑⪆32120⨫⇇↔⇑⪆143302≀⩗∶⇑⪆140232≀⩗∶⇑⪆201233)≨((⇑⪆13404⪉⨛⇑⪆132444)⩁⩘(⨴⫝⇑⪆32031)⫸⊐(⨵≀≌(⪲⇎⇑⪆21134)))","cot":[{"info":"⇑⪆24131⨳⩥⨓⇑⪆24014=⇑⪆-112","layer":3},{"info":"⨂⪏⇭⇑⪆201441=⇑⪆1043014","layer":3},{"info":"⇑⪆-112⨒⇑⪆1043014=⇑⪆410224111","layer":2},{"info":"⇑⪆32120⨫⇇↔⇑⪆143302=⇑⪆-4102","layer":3},{"info":"⇑⪆140232≀⩗∶⇑⪆201233=⇑⪆-3","layer":3},{"info":"⇑⪆-4102≀⩗∶⇑⪆-3=⇑⪆0","layer":2},{"info":"⇑⪆410224111⫗⊷⫓⇑⪆0=⇑⪆-1014","layer":1},{"info":"⇑⪆13404⪉⨛⇑⪆132444=⇑⪆-24342","layer":3},{"info":"⨴⫝⇑⪆32031=⇑⪆1211000243","layer":3},{"info":"⇑⪆-24342⩁⩘⇑⪆1211000243=⇑⪆10344014430","layer":2},{"info":"⪲⇎⇑⪆21134=⇑⪆42323","layer":3},{"info":"⨵≀≌⇑⪆42323=⇑⪆-233024","layer":2},{"info":"⇑⪆10344014430⫸⊐⇑⪆-233024=⇑⪆-1022112","layer":1},{"info":"⇑⪆-1014≨⇑⪆-1022112=⇑⪆1140","layer":0}]}
{"id":416,"expression_no_base_symbol":"($1535$⪎↠$2891$∇⊂⋱($1860$⇄$4956$)⇞)∑⇟⊟($6482$⫣⪄⊒$5686$)⫁($4653$⪷)⨫⇇↔$1175$↹⊜$1400$⪮%⊝$1806$⇤$2114$","expression":"(⇑⪆22120⪎↠⇑⪆43031∇⊂⋱(⇑⪆24420⇄⇑⪆124311)⇞)∑⇟⊟(⇑⪆201412⫣⪄⊒⇑⪆140221)⫁(⇑⪆122103⪷)⨫⇇↔⇑⪆14200↹⊜⇑⪆21100⪮%⊝⇑⪆24211⇤⇑⪆31424","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":282823,"operation_count":12,"complexity_ratio":23568.583333333332,"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":1535,"base":5},"right_expr":{"type":"numeric_atoms","value":2891,"base":5}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1860,"base":5},"right_expr":{"type":"numeric_atoms","value":4956,"base":5}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":6482,"base":5},"right_expr":{"type":"numeric_atoms","value":5686,"base":5}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":4653,"base":5}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1175,"base":5},"right_expr":{"type":"numeric_atoms","value":1400,"base":5}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1806,"base":5},"right_expr":{"type":"numeric_atoms","value":2114,"base":5}}}}},"used_operators":["U7g4x0WXJJ","5JYyxRJd4f","nhYeJWJD5X","3tVxb0NHM4","3EYGwJThht","LXhwmt4mBO","0ajvFaJAv0","RabNbG55vr","Qctrpi3WzA","IWmyXbctLI","9bazX3JMtO","YSKBFp38Pu"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","cHh1gJQ2o6","AHs5Up7iyr","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","Nsiff2A1zJ","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1535","layer":4},{"info":"number node, value=2891","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=2891, 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=1860","layer":4},{"info":"number node, value=4956","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=4956, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-226","layer":2},{"info":"compute unary expreesion, input=-226, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=-537","layer":1},{"info":"number node, value=6482","layer":4},{"info":"number node, value=5686","layer":4},{"info":"compute binary expreesion, left_input=6482, right_input=5686, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-21664","layer":3},{"info":"number node, value=4653","layer":4},{"info":"compute unary expreesion, input=4653, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21664, 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=1175","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=1175, right_input=1400, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-3346","layer":3},{"info":"number node, value=1806","layer":4},{"info":"number node, value=2114","layer":4},{"info":"compute binary expreesion, left_input=1806, right_input=2114, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-16752","layer":3},{"info":"compute binary expreesion, left_input=-3346, right_input=-16752, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-6376","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-6376, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=-537, right_input=-527, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆22120⪎↠⇑⪆43031∇⊂⋱(⇑⪆24420⇄⇑⪆124311)⇞)∑⇟⊟(⇑⪆201412⫣⪄⊒⇑⪆140221)⫁(⇑⪆122103⪷)⨫⇇↔⇑⪆14200↹⊜⇑⪆21100⪮%⊝⇑⪆24211⇤⇑⪆31424=NaN","reverse_text":"NaN=(⇑⪆22120⪎↠⇑⪆43031∇⊂⋱(⇑⪆24420⇄⇑⪆124311)⇞)∑⇟⊟(⇑⪆201412⫣⪄⊒⇑⪆140221)⫁(⇑⪆122103⪷)⨫⇇↔⇑⪆14200↹⊜⇑⪆21100⪮%⊝⇑⪆24211⇤⇑⪆31424","cot":[{"info":"⇑⪆22120⪎↠⇑⪆43031=⇑⪆1120","layer":3},{"info":"⇑⪆24420⇄⇑⪆124311=⇑⪆0","layer":3},{"info":"⇑⪆1120∇⊂⋱⇑⪆0=⇑⪆-1401","layer":2},{"info":"⇑⪆-1401⇞=⇑⪆-4122","layer":1},{"info":"⇑⪆201412⫣⪄⊒⇑⪆140221=⇑⪆-1143124","layer":3},{"info":"⇑⪆122103⪷=NaN","layer":3},{"info":"⇑⪆-1143124⫁NaN=⇑⪆1120","layer":2},{"info":"⇑⪆14200↹⊜⇑⪆21100=⇑⪆-101341","layer":3},{"info":"⇑⪆24211⇤⇑⪆31424=⇑⪆-1014002","layer":3},{"info":"⇑⪆-101341⪮%⊝⇑⪆-1014002=⇑⪆-201001","layer":2},{"info":"⇑⪆1120⨫⇇↔⇑⪆-201001=⇑⪆-4102","layer":1},{"info":"⇑⪆-4122∑⇟⊟⇑⪆-4102=NaN","layer":0}]}
{"id":417,"expression_no_base_symbol":"(($2314$⋹⋡⊁$1573$)≁↽≥($5301$/$2047$)⪨⊡(↞≼($1048$%$1763$)))⪔($4151$↞⋁$8260$⋾⨃∁$2397$⪛$2295$)↤⩊($1730$⨔⇊$3123$⪒$1982$⨭⪣$2432$)","expression":"((⇑⪆33224⋹⋡⊁⇑⪆22243)≁↽≥(⇑⪆132201/⇑⪆31142)⪨⊡(↞≼(⇑⪆13143%⇑⪆24023)))⪔(⇑⪆113101↞⋁⇑⪆231020⋾⨃∁⇑⪆34042⪛⇑⪆33140)↤⩊(⇑⪆23410⨔⇊⇑⪆44443⪒⇑⪆30412⨭⪣⇑⪆34212)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":63195,"operation_count":14,"complexity_ratio":4513.928571428572,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2314,"base":5},"right_expr":{"type":"numeric_atoms","value":1573,"base":5}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5301,"base":5},"right_expr":{"type":"numeric_atoms","value":2047,"base":5}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1048,"base":5},"right_expr":{"type":"numeric_atoms","value":1763,"base":5}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4151,"base":5},"right_expr":{"type":"numeric_atoms","value":8260,"base":5}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2397,"base":5},"right_expr":{"type":"numeric_atoms","value":2295,"base":5}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1730,"base":5},"right_expr":{"type":"numeric_atoms","value":3123,"base":5}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1982,"base":5},"right_expr":{"type":"numeric_atoms","value":2432,"base":5}}}}},"used_operators":["GjBEYRfMaF","kuIXHzHcAH","ncHt1X6cMc","As8RqfVLgs","XhwjNDsVaA","DE7zCoGJt9","k8jYdgA6NY","13rbtpv6ld","212REbPD9h","RqrPlJkxDo","uFcxV4UQCh","f6k1SAg4EE","JclMnS0uGI","kn8WO9XteQ"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","oWn0xqSxBt","3Oe9XWJUTD","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2314","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=2314, right_input=1573, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2323","layer":3},{"info":"number node, value=5301","layer":4},{"info":"number node, value=2047","layer":4},{"info":"compute binary expreesion, left_input=5301, right_input=2047, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=2323, right_input=2, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":2},{"info":"number node, value=1048","layer":4},{"info":"number node, value=1763","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=1763, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1048","layer":3},{"info":"compute unary expreesion, input=1048, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=7970","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=7970, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=4151","layer":4},{"info":"number node, value=8260","layer":4},{"info":"compute binary expreesion, left_input=4151, right_input=8260, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=2397","layer":4},{"info":"number node, value=2295","layer":4},{"info":"compute binary expreesion, left_input=2397, right_input=2295, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=102","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=102, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=102722","layer":2},{"info":"number node, value=1730","layer":4},{"info":"number node, value=3123","layer":4},{"info":"compute binary expreesion, left_input=1730, right_input=3123, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3123","layer":3},{"info":"number node, value=1982","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=1982, right_input=2432, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=703","layer":3},{"info":"compute binary expreesion, left_input=3123, right_input=703, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3826","layer":2},{"info":"compute binary expreesion, left_input=102722, right_input=-3826, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆33224⋹⋡⊁⇑⪆22243)≁↽≥(⇑⪆132201/⇑⪆31142)⪨⊡(↞≼(⇑⪆13143%⇑⪆24023)))⪔(⇑⪆113101↞⋁⇑⪆231020⋾⨃∁⇑⪆34042⪛⇑⪆33140)↤⩊(⇑⪆23410⨔⇊⇑⪆44443⪒⇑⪆30412⨭⪣⇑⪆34212)=NaN","reverse_text":"NaN=((⇑⪆33224⋹⋡⊁⇑⪆22243)≁↽≥(⇑⪆132201/⇑⪆31142)⪨⊡(↞≼(⇑⪆13143%⇑⪆24023)))⪔(⇑⪆113101↞⋁⇑⪆231020⋾⨃∁⇑⪆34042⪛⇑⪆33140)↤⩊(⇑⪆23410⨔⇊⇑⪆44443⪒⇑⪆30412⨭⪣⇑⪆34212)","cot":[{"info":"⇑⪆33224⋹⋡⊁⇑⪆22243=⇑⪆33243","layer":3},{"info":"⇑⪆132201/⇑⪆31142=⇑⪆2","layer":3},{"info":"⇑⪆33243≁↽≥⇑⪆2=⇑⪆0","layer":2},{"info":"⇑⪆13143%⇑⪆24023=⇑⪆13143","layer":3},{"info":"↞≼⇑⪆13143=⇑⪆223340","layer":2},{"info":"⇑⪆0⪨⊡⇑⪆223340=⇑⪆0","layer":1},{"info":"⇑⪆113101↞⋁⇑⪆231020=NaN","layer":3},{"info":"⇑⪆34042⪛⇑⪆33140=⇑⪆402","layer":3},{"info":"NaN⋾⨃∁⇑⪆402=⇑⪆11241342","layer":2},{"info":"⇑⪆23410⨔⇊⇑⪆44443=⇑⪆44443","layer":3},{"info":"⇑⪆30412⨭⪣⇑⪆34212=⇑⪆10303","layer":3},{"info":"⇑⪆44443⪒⇑⪆10303=⇑⪆-110301","layer":2},{"info":"⇑⪆11241342↤⩊⇑⪆-110301=NaN","layer":1},{"info":"⇑⪆0⪔NaN=NaN","layer":0}]}
{"id":418,"expression_no_base_symbol":"((≉$1331$⩖⊿$5600$)+$2790$∛$2337$⋝⋈⪟(∤↝$3354$))→⨶⪴(↓⇌($7481$⨵⪆$5735$)⪬($1748$≒∊$2492$))","expression":"((≉⇑⪆20311⩖⊿⇑⪆134400)+⇑⪆42130∛⇑⪆33322⋝⋈⪟(∤↝⇑⪆101404))→⨶⪴(↓⇌(⇑⪆214411⨵⪆⇑⪆140420)⪬(⇑⪆23443≒∊⇑⪆34432))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":712,"operation_count":11,"complexity_ratio":64.72727272727273,"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":1331,"base":5},"right_expr":{"type":"numeric_atoms","value":5600,"base":5}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2790,"base":5},"right_expr":{"type":"numeric_atoms","value":2337,"base":5}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":3354,"base":5}}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":7481,"base":5},"right_expr":{"type":"numeric_atoms","value":5735,"base":5}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1748,"base":5},"right_expr":{"type":"numeric_atoms","value":2492,"base":5}}}}},"used_operators":["bF6eod5Gvf","W4YGzv6Whe","e1ybzncUwg","RZ5CV9rWsJ","2DDjHMKMc0","w2537kitQq","3UMq87Qwqg","PxpmPgHHJV","Ez1Nq5fNfI","2DQ55sFlQl","5KTvxBwnZo"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"⇑⪆-104302","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1331","layer":4},{"info":"number node, value=5600","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=5600, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=39394","layer":3},{"info":"compute unary expreesion, input=39394, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=39925","layer":2},{"info":"number node, value=2790","layer":4},{"info":"number node, value=2337","layer":4},{"info":"compute binary expreesion, left_input=2790, right_input=2337, 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=3354","layer":4},{"info":"compute unary expreesion, input=3354, 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=3354","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=3354, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-670","layer":2},{"info":"compute binary expreesion, left_input=39925, right_input=-670, op_id = W4YGzv6Whe binary_op_definition= 'None', output=39255","layer":1},{"info":"number node, value=7481","layer":4},{"info":"number node, value=5735","layer":4},{"info":"compute binary expreesion, left_input=7481, right_input=5735, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1748","layer":4},{"info":"number node, value=2492","layer":4},{"info":"compute binary expreesion, left_input=1748, right_input=2492, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1264","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1264, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=39255, right_input=1234, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3702","layer":0}],"base":5,"result_base":5,"text":"((≉⇑⪆20311⩖⊿⇑⪆134400)+⇑⪆42130∛⇑⪆33322⋝⋈⪟(∤↝⇑⪆101404))→⨶⪴(↓⇌(⇑⪆214411⨵⪆⇑⪆140420)⪬(⇑⪆23443≒∊⇑⪆34432))=⇑⪆-104302","reverse_text":"⇑⪆-104302=((≉⇑⪆20311⩖⊿⇑⪆134400)+⇑⪆42130∛⇑⪆33322⋝⋈⪟(∤↝⇑⪆101404))→⨶⪴(↓⇌(⇑⪆214411⨵⪆⇑⪆140420)⪬(⇑⪆23443≒∊⇑⪆34432))","cot":[{"info":"⇑⪆20311⩖⊿⇑⪆134400=⇑⪆2230034","layer":3},{"info":"≉⇑⪆2230034=⇑⪆2234200","layer":2},{"info":"⇑⪆42130∛⇑⪆33322=⇑⪆-10140","layer":3},{"info":"∤↝⇑⪆101404=⇑⪆101404","layer":3},{"info":"⇑⪆-10140⋝⋈⪟⇑⪆101404=⇑⪆-10140","layer":2},{"info":"⇑⪆2234200+⇑⪆-10140=⇑⪆2224010","layer":1},{"info":"⇑⪆214411⨵⪆⇑⪆140420=⇑⪆1120","layer":3},{"info":"⇑⪆23443≒∊⇑⪆34432=⇑⪆-20024","layer":3},{"info":"⇑⪆1120⪬⇑⪆-20024=⇑⪆14414","layer":2},{"info":"↓⇌⇑⪆14414=⇑⪆14414","layer":1},{"info":"⇑⪆2224010→⨶⪴⇑⪆14414=⇑⪆-104302","layer":0}]}
{"id":419,"expression_no_base_symbol":"≯(⊖∈(⨴⫝$9358$⋥⋵⩄$1950$))","expression":"≯(⊖∈(⨴⫝⇑⪆244413⋥⋵⩄⇑⪆30300))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1909,"operation_count":4,"complexity_ratio":477.25,"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":9358,"base":5},"right_expr":{"type":"numeric_atoms","value":1950,"base":5}}}}},"used_operators":["keWfFq85dY","YFxL8Sc2Zy","SVb2v531z1","7t3wd0Fuz7"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=9358","layer":4},{"info":"number node, value=1950","layer":4},{"info":"compute binary expreesion, left_input=9358, right_input=1950, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, 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 = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=56558366","layer":1},{"info":"compute unary expreesion, input=56558366, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":0}],"base":5,"result_base":5,"text":"≯(⊖∈(⨴⫝⇑⪆244413⋥⋵⩄⇑⪆30300))=⇑⪆0","reverse_text":"⇑⪆0=≯(⊖∈(⨴⫝⇑⪆244413⋥⋵⩄⇑⪆30300))","cot":[{"info":"⇑⪆244413⋥⋵⩄⇑⪆30300=⇑⪆423","layer":3},{"info":"⨴⫝⇑⪆423=⇑⪆1211000243","layer":2},{"info":"⊖∈⇑⪆1211000243=⇑⪆103434331431","layer":1},{"info":"≯⇑⪆103434331431=⇑⪆0","layer":0}]}
{"id":420,"expression_no_base_symbol":"(($3813$⫯⪬∳$1626$∛≔)⨭⪣((↓⇌$2027$)-$2781$≓∲$1301$))⇤(($1342$∌$2525$⫍⨯↯)⊿∆)","expression":"((⇑⪆110223⫯⪬∳⇑⪆23001∛≔)⨭⪣((↓⇌⇑⪆31102)-⇑⪆42111≓∲⇑⪆20201))⇤((⇑⪆20332∌⇑⪆40100⫍⨯↯)⊿∆)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":149195,"operation_count":10,"complexity_ratio":14919.5,"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":3813,"base":5},"right_expr":{"type":"numeric_atoms","value":1626,"base":5}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2027,"base":5}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2781,"base":5},"right_expr":{"type":"numeric_atoms","value":1301,"base":5}}}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1342,"base":5},"right_expr":{"type":"numeric_atoms","value":2525,"base":5}}}}},"used_operators":["YSKBFp38Pu","kn8WO9XteQ","mGnSCrte3L","d7ASUq0ydm","rysDP5nf3Z","PxpmPgHHJV","s1XTVnmDOJ","fv3ZujxkQL","ZcwmYACASQ","8cLx32lpNA"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","NTOWxs364D","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3813","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=3813, right_input=1626, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=17472","layer":3},{"info":"compute unary expreesion, input=17472, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=nan","layer":2},{"info":"number node, value=2027","layer":4},{"info":"compute unary expreesion, input=2027, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2027","layer":3},{"info":"number node, value=2781","layer":4},{"info":"number node, value=1301","layer":4},{"info":"compute binary expreesion, left_input=2781, right_input=1301, 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=28593","layer":3},{"info":"compute binary expreesion, left_input=2027, right_input=28593, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-26566","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-26566, 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=1342","layer":4},{"info":"number node, value=2525","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=2525, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2525","layer":3},{"info":"compute unary expreesion, input=-2525, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=147","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=147, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆110223⫯⪬∳⇑⪆23001∛≔)⨭⪣((↓⇌⇑⪆31102)-⇑⪆42111≓∲⇑⪆20201))⇤((⇑⪆20332∌⇑⪆40100⫍⨯↯)⊿∆)=NaN","reverse_text":"NaN=((⇑⪆110223⫯⪬∳⇑⪆23001∛≔)⨭⪣((↓⇌⇑⪆31102)-⇑⪆42111≓∲⇑⪆20201))⇤((⇑⪆20332∌⇑⪆40100⫍⨯↯)⊿∆)","cot":[{"info":"⇑⪆110223⫯⪬∳⇑⪆23001=⇑⪆1024342","layer":3},{"info":"⇑⪆1024342∛≔=NaN","layer":2},{"info":"↓⇌⇑⪆31102=⇑⪆31102","layer":3},{"info":"⇑⪆42111≓∲⇑⪆20201=⇑⪆1403333","layer":3},{"info":"⇑⪆31102-⇑⪆1403333=⇑⪆-1322231","layer":2},{"info":"NaN⨭⪣⇑⪆-1322231=NaN","layer":1},{"info":"⇑⪆20332∌⇑⪆40100=⇑⪆-40100","layer":3},{"info":"⇑⪆-40100⫍⨯↯=⇑⪆-1014","layer":2},{"info":"⇑⪆-1014⊿∆=⇑⪆1042","layer":1},{"info":"NaN⇤⇑⪆1042=NaN","layer":0}]}
{"id":421,"expression_no_base_symbol":"(($2417$↬$1019$⨐⩸⫘$5388$⋓$2653$)⪨⊡(≇⪴$2466$⫞⩸⩒$4361$))↹⊜(($3218$⪃⊛⇣$8890$∙⊟$3412$⪛$3879$)≀⫉(∂$6445$)⫁⪎($4410$⪓⨏))","expression":"((⇑⪆34132↬⇑⪆13034⨐⩸⫘⇑⪆133023⋓⇑⪆41103)⪨⊡(≇⪴⇑⪆34331⫞⩸⩒⇑⪆114421))↹⊜((⇑⪆100333⪃⊛⇣⇑⪆241030∙⊟⇑⪆102122⪛⇑⪆111004)≀⫉(∂⇑⪆201240)⫁⪎(⇑⪆120120⪓⨏))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6690,"operation_count":14,"complexity_ratio":477.85714285714283,"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":2417,"base":5},"right_expr":{"type":"numeric_atoms","value":1019,"base":5}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5388,"base":5},"right_expr":{"type":"numeric_atoms","value":2653,"base":5}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2466,"base":5},"right_expr":{"type":"numeric_atoms","value":4361,"base":5}}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3218,"base":5},"right_expr":{"type":"numeric_atoms","value":8890,"base":5}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3412,"base":5},"right_expr":{"type":"numeric_atoms","value":3879,"base":5}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6445,"base":5}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":4410,"base":5}}}}},"used_operators":["9bazX3JMtO","kuIXHzHcAH","fu6greOZ01","B5M0gjZbta","T2fj7uvVaJ","zoVPnxeHJ3","XGcMNugi78","oZj3VtZNQx","SxTAKzQCrw","rrgAzCduG9","uFcxV4UQCh","xRrnTEsQ6j","Uaa54Peajs","4X9JU4Jbn6"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","3ViojmjbAp","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ"],"result":"⇑⪆10143023","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2417","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=2417, right_input=1019, 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=5388","layer":4},{"info":"number node, value=2653","layer":4},{"info":"compute binary expreesion, left_input=5388, right_input=2653, 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 = 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=2466","layer":4},{"info":"number node, value=4361","layer":4},{"info":"compute binary expreesion, left_input=2466, right_input=4361, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4361","layer":3},{"info":"compute unary expreesion, input=4361, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-11743","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11743, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=47761","layer":1},{"info":"number node, value=3218","layer":4},{"info":"number node, value=8890","layer":4},{"info":"compute binary expreesion, left_input=3218, right_input=8890, 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=3412","layer":4},{"info":"number node, value=3879","layer":4},{"info":"compute binary expreesion, left_input=3412, right_input=3879, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3412","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=3412, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=25888","layer":2},{"info":"number node, value=6445","layer":4},{"info":"compute unary expreesion, input=6445, 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=4410","layer":4},{"info":"compute unary expreesion, input=4410, 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 = 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=25888, right_input=nan, 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=47761, right_input=2822, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=84138","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆34132↬⇑⪆13034⨐⩸⫘⇑⪆133023⋓⇑⪆41103)⪨⊡(≇⪴⇑⪆34331⫞⩸⩒⇑⪆114421))↹⊜((⇑⪆100333⪃⊛⇣⇑⪆241030∙⊟⇑⪆102122⪛⇑⪆111004)≀⫉(∂⇑⪆201240)⫁⪎(⇑⪆120120⪓⨏))=⇑⪆10143023","reverse_text":"⇑⪆10143023=((⇑⪆34132↬⇑⪆13034⨐⩸⫘⇑⪆133023⋓⇑⪆41103)⪨⊡(≇⪴⇑⪆34331⫞⩸⩒⇑⪆114421))↹⊜((⇑⪆100333⪃⊛⇣⇑⪆241030∙⊟⇑⪆102122⪛⇑⪆111004)≀⫉(∂⇑⪆201240)⫁⪎(⇑⪆120120⪓⨏))","cot":[{"info":"⇑⪆34132↬⇑⪆13034=NaN","layer":3},{"info":"⇑⪆133023⋓⇑⪆41103=⇑⪆0","layer":3},{"info":"NaN⨐⩸⫘⇑⪆0=NaN","layer":2},{"info":"⇑⪆34331⫞⩸⩒⇑⪆114421=⇑⪆114421","layer":3},{"info":"≇⪴⇑⪆114421=⇑⪆-333433","layer":2},{"info":"NaN⪨⊡⇑⪆-333433=⇑⪆3012021","layer":1},{"info":"⇑⪆100333⪃⊛⇣⇑⪆241030=⇑⪆14414","layer":3},{"info":"⇑⪆102122⪛⇑⪆111004=⇑⪆102122","layer":3},{"info":"⇑⪆14414∙⊟⇑⪆102122=⇑⪆1312023","layer":2},{"info":"∂⇑⪆201240=NaN","layer":3},{"info":"⇑⪆120120⪓⨏=NaN","layer":3},{"info":"NaN⫁⪎NaN=NaN","layer":2},{"info":"⇑⪆1312023≀⫉NaN=⇑⪆42242","layer":1},{"info":"⇑⪆3012021↹⊜⇑⪆42242=⇑⪆10143023","layer":0}]}
{"id":422,"expression_no_base_symbol":"(≋($4290$⇄$4207$)⪃⊛⇣($3352$≎⪠$3914$))∋((⩷$4671$)∼($4267$⩨$3283$)≬⇓($3866$∀⊥⇻)≠≀($1399$↠))","expression":"(≋(⇑⪆114130⇄⇑⪆113312)⪃⊛⇣(⇑⪆101402≎⪠⇑⪆111124))∋((⩷⇑⪆122141)∼(⇑⪆114032⩨⇑⪆101113)≬⇓(⇑⪆110431∀⊥⇻)≠≀(⇑⪆21044↠))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":20977,"operation_count":12,"complexity_ratio":1748.0833333333333,"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":4290,"base":5},"right_expr":{"type":"numeric_atoms","value":4207,"base":5}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3352,"base":5},"right_expr":{"type":"numeric_atoms","value":3914,"base":5}}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":4671,"base":5}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4267,"base":5},"right_expr":{"type":"numeric_atoms","value":3283,"base":5}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":3866,"base":5}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":1399,"base":5}}}}},"used_operators":["ukq6epAj5P","61wBmkZwlr","rrgAzCduG9","3EYGwJThht","aNhz54LH3e","jWTQ2TZYIH","DyGG3AbaNP","1h0rLqGiFr","2DlMacCsIx","IwW236VD4Y","k4iM1060OG","LBdsKIvxzf"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","7j4O788W3g","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb"],"result":"⇑⪆313441","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4290","layer":4},{"info":"number node, value=4207","layer":4},{"info":"compute binary expreesion, left_input=4290, right_input=4207, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=3352","layer":4},{"info":"number node, value=3914","layer":4},{"info":"compute binary expreesion, left_input=3352, right_input=3914, 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=0, right_input=19558, 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 = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1234","layer":1},{"info":"number node, value=4671","layer":4},{"info":"compute unary expreesion, input=4671, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-56131","layer":3},{"info":"number node, value=4267","layer":4},{"info":"number node, value=3283","layer":4},{"info":"compute binary expreesion, left_input=4267, right_input=3283, 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=-56131, 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":"number node, value=3866","layer":4},{"info":"compute unary expreesion, input=3866, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"number node, value=1399","layer":4},{"info":"compute unary expreesion, input=1399, 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=0, right_input=-447, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=326","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=326, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=0, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=10496","layer":0}],"base":5,"result_base":5,"text":"(≋(⇑⪆114130⇄⇑⪆113312)⪃⊛⇣(⇑⪆101402≎⪠⇑⪆111124))∋((⩷⇑⪆122141)∼(⇑⪆114032⩨⇑⪆101113)≬⇓(⇑⪆110431∀⊥⇻)≠≀(⇑⪆21044↠))=⇑⪆313441","reverse_text":"⇑⪆313441=(≋(⇑⪆114130⇄⇑⪆113312)⪃⊛⇣(⇑⪆101402≎⪠⇑⪆111124))∋((⩷⇑⪆122141)∼(⇑⪆114032⩨⇑⪆101113)≬⇓(⇑⪆110431∀⊥⇻)≠≀(⇑⪆21044↠))","cot":[{"info":"⇑⪆114130⇄⇑⪆113312=⇑⪆0","layer":3},{"info":"⇑⪆101402≎⪠⇑⪆111124=⇑⪆1111213","layer":3},{"info":"⇑⪆0⪃⊛⇣⇑⪆1111213=⇑⪆14414","layer":2},{"info":"≋⇑⪆14414=⇑⪆14414","layer":1},{"info":"⩷⇑⪆122141=⇑⪆-3244011","layer":3},{"info":"⇑⪆114032⩨⇑⪆101113=⇑⪆0","layer":3},{"info":"⇑⪆-3244011∼⇑⪆0=⇑⪆40","layer":2},{"info":"⇑⪆110431∀⊥⇻=⇑⪆0","layer":3},{"info":"⇑⪆21044↠=⇑⪆-3242","layer":3},{"info":"⇑⪆0≠≀⇑⪆-3242=⇑⪆2301","layer":2},{"info":"⇑⪆40≬⇓⇑⪆2301=⇑⪆0","layer":1},{"info":"⇑⪆14414∋⇑⪆0=⇑⪆313441","layer":0}]}
{"id":423,"expression_no_base_symbol":"(((⨙⪌$1463$)⋻⩜⩜(⩩$4461$))⇷((↸⊣$1532$)⫥∨⫟$1907$∊∟⩊$4046$))⩇∃⫛(⊵⊁(↔($2378$⇯⋐)))","expression":"(((⨙⪌⇑⪆21323)⋻⩜⩜(⩩⇑⪆120321))⇷((↸⊣⇑⪆22112)⫥∨⫟⇑⪆30112∊∟⩊⇑⪆112141))⩇∃⫛(⊵⊁(↔(⇑⪆34003⇯⋐)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":30836,"operation_count":11,"complexity_ratio":2803.2727272727275,"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":1463,"base":5}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":4461,"base":5}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":1532,"base":5}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1907,"base":5},"right_expr":{"type":"numeric_atoms","value":4046,"base":5}}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":2378,"base":5}}}}},"used_operators":["1aApVXNlOP","mp7IySMOzn","oDCm7WA9JY","vEGLkm4Z2k","kMhfGuqI2H","KYD54nUTWz","wztAlM01eG","ddLRYrp01A","AvED76WdY7","ruOEQAzv1W","LkLIoiE525"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","8HhzD0ZcuI","rGHVDoGpnC","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","uBihLCJcMX","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1463","layer":4},{"info":"compute unary expreesion, input=1463, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=4461","layer":4},{"info":"compute unary expreesion, input=4461, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=868, 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=1736","layer":2},{"info":"number node, value=1532","layer":4},{"info":"compute unary expreesion, input=1532, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1245","layer":3},{"info":"number node, value=1907","layer":4},{"info":"number node, value=4046","layer":4},{"info":"compute binary expreesion, left_input=1907, right_input=4046, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=4046","layer":3},{"info":"compute binary expreesion, left_input=-1245, right_input=4046, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1736, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=2378","layer":4},{"info":"compute unary expreesion, input=2378, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=8012","layer":3},{"info":"compute unary expreesion, input=8012, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-7739","layer":2},{"info":"compute unary expreesion, input=-7739, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":1},{"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":0}],"base":5,"result_base":5,"text":"(((⨙⪌⇑⪆21323)⋻⩜⩜(⩩⇑⪆120321))⇷((↸⊣⇑⪆22112)⫥∨⫟⇑⪆30112∊∟⩊⇑⪆112141))⩇∃⫛(⊵⊁(↔(⇑⪆34003⇯⋐)))=NaN","reverse_text":"NaN=(((⨙⪌⇑⪆21323)⋻⩜⩜(⩩⇑⪆120321))⇷((↸⊣⇑⪆22112)⫥∨⫟⇑⪆30112∊∟⩊⇑⪆112141))⩇∃⫛(⊵⊁(↔(⇑⪆34003⇯⋐)))","cot":[{"info":"⨙⪌⇑⪆21323=⇑⪆11433","layer":3},{"info":"⩩⇑⪆120321=NaN","layer":3},{"info":"⇑⪆11433⋻⩜⩜NaN=⇑⪆23421","layer":2},{"info":"↸⊣⇑⪆22112=⇑⪆-14440","layer":3},{"info":"⇑⪆30112∊∟⩊⇑⪆112141=⇑⪆112141","layer":3},{"info":"⇑⪆-14440⫥∨⫟⇑⪆112141=NaN","layer":2},{"info":"⇑⪆23421⇷NaN=NaN","layer":1},{"info":"⇑⪆34003⇯⋐=⇑⪆224022","layer":3},{"info":"↔⇑⪆224022=⇑⪆-221424","layer":2},{"info":"⊵⊁⇑⪆-221424=⇑⪆0","layer":1},{"info":"NaN⩇∃⫛⇑⪆0=NaN","layer":0}]}
{"id":424,"expression_no_base_symbol":"∂⩏⊆((↨$4214$)⋛($2942$∽$3110$))⊬⨰($3103$⫢⨠$1106$⊠≄⫣)","expression":"∂⩏⊆((↨⇑⪆113324)⋛(⇑⪆43232∽⇑⪆44420))⊬⨰(⇑⪆44403⫢⨠⇑⪆13411⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":306,"operation_count":7,"complexity_ratio":43.714285714285715,"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":4214,"base":5}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2942,"base":5},"right_expr":{"type":"numeric_atoms","value":3110,"base":5}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3103,"base":5},"right_expr":{"type":"numeric_atoms","value":1106,"base":5}}}}},"used_operators":["8WDwsbhb0R","s3Fd5m9Dh2","YbUVn0Rbpy","jiX4gk2v2Q","y4ImoPnbV5","DIvbN7qnHd","xlXykHWxX1"],"dependent_operators":["14qkJME0vr","eLAdDNolq6","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rGHVDoGpnC","oZj3VtZNQx","NTOWxs364D","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"⇑⪆14023431","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4214","layer":4},{"info":"compute unary expreesion, input=4214, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"number node, value=2942","layer":4},{"info":"number node, value=3110","layer":4},{"info":"compute binary expreesion, left_input=2942, right_input=3110, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-23862","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-23862, 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=-70941","layer":2},{"info":"number node, value=3103","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=3103, right_input=1106, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-70941, right_input=0, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-141882","layer":1},{"info":"compute unary expreesion, input=-141882, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=142366","layer":0}],"base":5,"result_base":5,"text":"∂⩏⊆((↨⇑⪆113324)⋛(⇑⪆43232∽⇑⪆44420))⊬⨰(⇑⪆44403⫢⨠⇑⪆13411⊠≄⫣)=⇑⪆14023431","reverse_text":"⇑⪆14023431=∂⩏⊆((↨⇑⪆113324)⋛(⇑⪆43232∽⇑⪆44420))⊬⨰(⇑⪆44403⫢⨠⇑⪆13411⊠≄⫣)","cot":[{"info":"↨⇑⪆113324=NaN","layer":3},{"info":"⇑⪆43232∽⇑⪆44420=⇑⪆-1230422","layer":3},{"info":"NaN⋛⇑⪆-1230422=⇑⪆-4232231","layer":2},{"info":"⇑⪆44403⫢⨠⇑⪆13411=⇑⪆1120","layer":3},{"info":"⇑⪆1120⊠≄⫣=⇑⪆0","layer":2},{"info":"⇑⪆-4232231⊬⨰⇑⪆0=⇑⪆-14020012","layer":1},{"info":"∂⩏⊆⇑⪆-14020012=⇑⪆14023431","layer":0}]}
{"id":425,"expression_no_base_symbol":"((⇺⋃$6775$)⊋($1283$≳⇉$1649$)⇌⫙⪟($4400$⋣⋖$3044$-(→⩰$3394$)))⊢($3016$⩼⇪↪$8918$)⨔⇊(≉$4035$)⪒⊣⊆($5051$⇤$2279$⇴($1413$∕⩚$1602$))","expression":"((⇺⋃⇑⪆204100)⊋(⇑⪆20113≳⇉⇑⪆23044)⇌⫙⪟(⇑⪆120100⋣⋖⇑⪆44134-(→⩰⇑⪆102034)))⊢(⇑⪆44031⩼⇪↪⇑⪆241133)⨔⇊(≉⇑⪆112120)⪒⊣⊆(⇑⪆130201⇤⇑⪆33104⇴(⇑⪆21123∕⩚⇑⪆22402))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":98100876,"operation_count":15,"complexity_ratio":6540058.4,"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":6775,"base":5}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1283,"base":5},"right_expr":{"type":"numeric_atoms","value":1649,"base":5}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4400,"base":5},"right_expr":{"type":"numeric_atoms","value":3044,"base":5}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":3394,"base":5}}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3016,"base":5},"right_expr":{"type":"numeric_atoms","value":8918,"base":5}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4035,"base":5}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":5051,"base":5},"right_expr":{"type":"numeric_atoms","value":2279,"base":5}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1413,"base":5},"right_expr":{"type":"numeric_atoms","value":1602,"base":5}}}}},"used_operators":["5twsqlHp2o","AFVx7xoS7T","W4tP9CfskL","E5v5B3UAjG","V0kx6qeWkN","rysDP5nf3Z","J0M6qkBnIM","o8Pngz0Tml","eRqsBgTDFp","JclMnS0uGI","ocnLzx9CaJ","e1ybzncUwg","4JB6nKBMSY","YSKBFp38Pu","z9ffQ9n5Zr"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6775","layer":4},{"info":"compute unary expreesion, input=6775, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=1283","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=1649, 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 = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":2},{"info":"number node, value=4400","layer":4},{"info":"number node, value=3044","layer":4},{"info":"compute binary expreesion, left_input=4400, right_input=3044, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4400","layer":3},{"info":"number node, value=3394","layer":4},{"info":"compute unary expreesion, input=3394, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4400, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":1},{"info":"number node, value=3016","layer":4},{"info":"number node, value=8918","layer":4},{"info":"compute binary expreesion, left_input=3016, right_input=8918, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-57177","layer":3},{"info":"number node, value=4035","layer":4},{"info":"compute unary expreesion, input=4035, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4566","layer":3},{"info":"compute binary expreesion, left_input=-57177, right_input=4566, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4566","layer":2},{"info":"number node, value=5051","layer":4},{"info":"number node, value=2279","layer":4},{"info":"compute binary expreesion, left_input=5051, right_input=2279, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-33802","layer":3},{"info":"number node, value=1413","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=1413, right_input=1602, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1416","layer":3},{"info":"compute binary expreesion, left_input=-33802, right_input=-1416, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-206030","layer":2},{"info":"compute binary expreesion, left_input=4566, right_input=-206030, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=9132","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9132, 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":5,"result_base":5,"text":"((⇺⋃⇑⪆204100)⊋(⇑⪆20113≳⇉⇑⪆23044)⇌⫙⪟(⇑⪆120100⋣⋖⇑⪆44134-(→⩰⇑⪆102034)))⊢(⇑⪆44031⩼⇪↪⇑⪆241133)⨔⇊(≉⇑⪆112120)⪒⊣⊆(⇑⪆130201⇤⇑⪆33104⇴(⇑⪆21123∕⩚⇑⪆22402))=NaN","reverse_text":"NaN=((⇺⋃⇑⪆204100)⊋(⇑⪆20113≳⇉⇑⪆23044)⇌⫙⪟(⇑⪆120100⋣⋖⇑⪆44134-(→⩰⇑⪆102034)))⊢(⇑⪆44031⩼⇪↪⇑⪆241133)⨔⇊(≉⇑⪆112120)⪒⊣⊆(⇑⪆130201⇤⇑⪆33104⇴(⇑⪆21123∕⩚⇑⪆22402))","cot":[{"info":"⇺⋃⇑⪆204100=NaN","layer":3},{"info":"⇑⪆20113≳⇉⇑⪆23044=NaN","layer":3},{"info":"NaN⊋NaN=NaN","layer":2},{"info":"⇑⪆120100⋣⋖⇑⪆44134=⇑⪆120100","layer":3},{"info":"→⩰⇑⪆102034=NaN","layer":3},{"info":"⇑⪆120100-NaN=NaN","layer":2},{"info":"NaN⇌⫙⪟NaN=NaN","layer":1},{"info":"⇑⪆44031⩼⇪↪⇑⪆241133=⇑⪆-3312202","layer":3},{"info":"≉⇑⪆112120=⇑⪆121231","layer":3},{"info":"⇑⪆-3312202⨔⇊⇑⪆121231=⇑⪆121231","layer":2},{"info":"⇑⪆130201⇤⇑⪆33104=⇑⪆-2040202","layer":3},{"info":"⇑⪆21123∕⩚⇑⪆22402=⇑⪆-21131","layer":3},{"info":"⇑⪆-2040202⇴⇑⪆-21131=⇑⪆-23043110","layer":2},{"info":"⇑⪆121231⪒⊣⊆⇑⪆-23043110=⇑⪆243012","layer":1},{"info":"NaN⊢⇑⪆243012=NaN","layer":0}]}
{"id":426,"expression_no_base_symbol":"(⫡⇟⇯($1518$≎⊠⪸$2392$)↳∿⪆($8091$∣$2775$))⪎↠((⊈(⩦⩻⨪$2583$))⨪↰⇹(($3932$⫻⋑⊟)∲⫓$1901$⫣⪄⊒$1680$))","expression":"(⫡⇟⇯(⇑⪆22033≎⊠⪸⇑⪆34032)↳∿⪆(⇑⪆224331∣⇑⪆42100))⪎↠((⊈(⩦⩻⨪⇑⪆40313))⨪↰⇹((⇑⪆111212⫻⋑⊟)∲⫓⇑⪆30101⫣⪄⊒⇑⪆23210))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5612,"operation_count":11,"complexity_ratio":510.1818181818182,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1518,"base":5},"right_expr":{"type":"numeric_atoms","value":2392,"base":5}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":8091,"base":5},"right_expr":{"type":"numeric_atoms","value":2775,"base":5}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2583,"base":5}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":3932,"base":5}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1901,"base":5},"right_expr":{"type":"numeric_atoms","value":1680,"base":5}}}}},"used_operators":["3tVxb0NHM4","qWUSsah53b","Cw4SuJJGHO","bJkvcejdHO","PPChnnnBFF","tmPS8pqC7x","RHru8klgy8","2td37pGCOC","i8ToyICDmI","o575Zjdmzy","RabNbG55vr"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","DZ8iAZOCBD","P8v4zCKN1o","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rJVOvQCfKK","12rbrZMWeM","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1518","layer":4},{"info":"number node, value=2392","layer":4},{"info":"compute binary expreesion, left_input=1518, right_input=2392, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=392689","layer":3},{"info":"number node, value=8091","layer":4},{"info":"number node, value=2775","layer":4},{"info":"compute binary expreesion, left_input=8091, right_input=2775, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=8091","layer":3},{"info":"compute binary expreesion, left_input=392689, right_input=8091, 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 = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=nan","layer":1},{"info":"number node, value=2583","layer":4},{"info":"compute unary expreesion, input=2583, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2583","layer":3},{"info":"compute unary expreesion, input=2583, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2757","layer":2},{"info":"number node, value=3932","layer":4},{"info":"compute unary expreesion, input=3932, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-7354","layer":3},{"info":"number node, value=1901","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=1901, right_input=1680, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-6790","layer":3},{"info":"compute binary expreesion, left_input=-7354, right_input=-6790, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-7354","layer":2},{"info":"compute binary expreesion, left_input=-2757, right_input=-7354, 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=2757","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2757, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⫡⇟⇯(⇑⪆22033≎⊠⪸⇑⪆34032)↳∿⪆(⇑⪆224331∣⇑⪆42100))⪎↠((⊈(⩦⩻⨪⇑⪆40313))⨪↰⇹((⇑⪆111212⫻⋑⊟)∲⫓⇑⪆30101⫣⪄⊒⇑⪆23210))=NaN","reverse_text":"NaN=(⫡⇟⇯(⇑⪆22033≎⊠⪸⇑⪆34032)↳∿⪆(⇑⪆224331∣⇑⪆42100))⪎↠((⊈(⩦⩻⨪⇑⪆40313))⨪↰⇹((⇑⪆111212⫻⋑⊟)∲⫓⇑⪆30101⫣⪄⊒⇑⪆23210))","cot":[{"info":"⇑⪆22033≎⊠⪸⇑⪆34032=⇑⪆100031224","layer":3},{"info":"⇑⪆224331∣⇑⪆42100=⇑⪆224331","layer":3},{"info":"⇑⪆100031224↳∿⪆⇑⪆224331=NaN","layer":2},{"info":"⫡⇟⇯NaN=NaN","layer":1},{"info":"⩦⩻⨪⇑⪆40313=⇑⪆40313","layer":3},{"info":"⊈⇑⪆40313=⇑⪆-42012","layer":2},{"info":"⇑⪆111212⫻⋑⊟=⇑⪆-213404","layer":3},{"info":"⇑⪆30101⫣⪄⊒⇑⪆23210=⇑⪆-204130","layer":3},{"info":"⇑⪆-213404∲⫓⇑⪆-204130=⇑⪆-213404","layer":2},{"info":"⇑⪆-42012⨪↰⇹⇑⪆-213404=⇑⪆42012","layer":1},{"info":"NaN⪎↠⇑⪆42012=NaN","layer":0}]}
{"id":427,"expression_no_base_symbol":"(⫎≠⋺(⪡⇡≛$3078$))⊹∫⫚($6746$⊢$4155$∙⊟$1710$∛$1546$)∲⫓($8987$⪠⩆⊳)⊮⊟↴($1748$⨶)∴(($7758$⊝)↙(⫇$1179$))","expression":"(⫎≠⋺(⪡⇡≛⇑⪆44303))⊹∫⫚(⇑⪆203441⊢⇑⪆113110∙⊟⇑⪆23320∛⇑⪆22141)∲⫓(⇑⪆241422⪠⩆⊳)⊮⊟↴(⇑⪆23443⨶)∴((⇑⪆222013⊝)↙(⫇⇑⪆14204))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":17146,"operation_count":14,"complexity_ratio":1224.7142857142858,"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":3078,"base":5}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":6746,"base":5},"right_expr":{"type":"numeric_atoms","value":4155,"base":5}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1710,"base":5},"right_expr":{"type":"numeric_atoms","value":1546,"base":5}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":8987,"base":5}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":1748,"base":5}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":7758,"base":5}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1179,"base":5}}}}},"used_operators":["i8ToyICDmI","uWAJUKEvyW","LYeZOJ0nQG","qL4PrbW1Dq","SxTAKzQCrw","5twsqlHp2o","w2537kitQq","hrf7POJlIJ","QDVgd2eftb","JLbD19bQDL","rFxw8gIMmB","yyfyN0ffXY","O6EZ0fifGK","YjI8oCXuph"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","f6k1SAg4EE","Qy55tPpLXF","tmPS8pqC7x","DpFCA1CohY","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3078","layer":4},{"info":"compute unary expreesion, input=3078, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-3078","layer":3},{"info":"compute unary expreesion, input=-3078, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":2},{"info":"number node, value=6746","layer":4},{"info":"number node, value=4155","layer":4},{"info":"compute binary expreesion, left_input=6746, right_input=4155, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-13736","layer":3},{"info":"number node, value=1710","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=1710, right_input=1546, 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=-13736, right_input=67, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=194312","layer":2},{"info":"compute binary expreesion, left_input=-709, right_input=194312, 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":1},{"info":"number node, value=8987","layer":4},{"info":"compute unary expreesion, input=8987, 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=1748","layer":4},{"info":"compute unary expreesion, input=1748, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=1750","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1750, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"number node, value=7758","layer":4},{"info":"compute unary expreesion, input=7758, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=7758","layer":3},{"info":"number node, value=1179","layer":4},{"info":"compute unary expreesion, input=1179, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-1144","layer":3},{"info":"compute binary expreesion, left_input=7758, right_input=-1144, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=3432","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3432, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1648","layer":1},{"info":"compute binary expreesion, left_input=-100, right_input=1648, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"(⫎≠⋺(⪡⇡≛⇑⪆44303))⊹∫⫚(⇑⪆203441⊢⇑⪆113110∙⊟⇑⪆23320∛⇑⪆22141)∲⫓(⇑⪆241422⪠⩆⊳)⊮⊟↴(⇑⪆23443⨶)∴((⇑⪆222013⊝)↙(⫇⇑⪆14204))=⇑⪆0","reverse_text":"⇑⪆0=(⫎≠⋺(⪡⇡≛⇑⪆44303))⊹∫⫚(⇑⪆203441⊢⇑⪆113110∙⊟⇑⪆23320∛⇑⪆22141)∲⫓(⇑⪆241422⪠⩆⊳)⊮⊟↴(⇑⪆23443⨶)∴((⇑⪆222013⊝)↙(⫇⇑⪆14204))","cot":[{"info":"⪡⇡≛⇑⪆44303=⇑⪆-44303","layer":3},{"info":"⫎≠⋺⇑⪆-44303=⇑⪆-10314","layer":2},{"info":"⇑⪆203441⊢⇑⪆113110=⇑⪆-414421","layer":3},{"info":"⇑⪆23320∛⇑⪆22141=⇑⪆232","layer":3},{"info":"⇑⪆-414421∙⊟⇑⪆232=⇑⪆22204222","layer":2},{"info":"⇑⪆-10314⊹∫⫚⇑⪆22204222=⇑⪆-400","layer":1},{"info":"⇑⪆241422⪠⩆⊳=⇑⪆0","layer":3},{"info":"⇑⪆23443⨶=⇑⪆24000","layer":3},{"info":"⇑⪆0⊮⊟↴⇑⪆24000=⇑⪆0","layer":2},{"info":"⇑⪆222013⊝=⇑⪆222013","layer":3},{"info":"⫇⇑⪆14204=⇑⪆-14034","layer":3},{"info":"⇑⪆222013↙⇑⪆-14034=⇑⪆102212","layer":2},{"info":"⇑⪆0∴⇑⪆102212=⇑⪆23043","layer":1},{"info":"⇑⪆-400∲⫓⇑⪆23043=⇑⪆0","layer":0}]}
{"id":428,"expression_no_base_symbol":"(⨴⫝($2963$⫸⊐$1586$)⩌⋺(⇤←$4169$))≒∊((($1593$∠↢$2543$)∣$1398$⇂≾⫗$6439$)↦)","expression":"(⨴⫝(⇑⪆43323⫸⊐⇑⪆22321)⩌⋺(⇤←⇑⪆113134))≒∊(((⇑⪆22333∠↢⇑⪆40133)∣⇑⪆21043⇂≾⫗⇑⪆201224)↦)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":256476,"operation_count":9,"complexity_ratio":28497.333333333332,"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":2963,"base":5},"right_expr":{"type":"numeric_atoms","value":1586,"base":5}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":4169,"base":5}}}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1593,"base":5},"right_expr":{"type":"numeric_atoms","value":2543,"base":5}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1398,"base":5},"right_expr":{"type":"numeric_atoms","value":6439,"base":5}}}}},"used_operators":["5KTvxBwnZo","SVb2v531z1","g7Hmc5v1ko","mqXw5SEYmG","jfAgQ2OQeM","fFznvYxMfW","PPChnnnBFF","KbjG8mgYpV","aBQ6xLxuTc"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2963","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=2963, right_input=1586, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6219","layer":3},{"info":"number node, value=4169","layer":4},{"info":"compute unary expreesion, input=4169, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-19479","layer":3},{"info":"compute binary expreesion, left_input=6219, right_input=-19479, 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=13139","layer":2},{"info":"compute unary expreesion, input=13139, 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=1593","layer":4},{"info":"number node, value=2543","layer":4},{"info":"compute binary expreesion, left_input=1593, right_input=2543, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-40892","layer":3},{"info":"number node, value=1398","layer":4},{"info":"number node, value=6439","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=6439, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-40892, right_input=-676, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=41376","layer":2},{"info":"compute unary expreesion, input=41376, 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 binary expreesion, left_input=2828198, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⨴⫝(⇑⪆43323⫸⊐⇑⪆22321)⩌⋺(⇤←⇑⪆113134))≒∊(((⇑⪆22333∠↢⇑⪆40133)∣⇑⪆21043⇂≾⫗⇑⪆201224)↦)=NaN","reverse_text":"NaN=(⨴⫝(⇑⪆43323⫸⊐⇑⪆22321)⩌⋺(⇤←⇑⪆113134))≒∊(((⇑⪆22333∠↢⇑⪆40133)∣⇑⪆21043⇂≾⫗⇑⪆201224)↦)","cot":[{"info":"⇑⪆43323⫸⊐⇑⪆22321=⇑⪆144334","layer":3},{"info":"⇤←⇑⪆113134=⇑⪆-1110404","layer":3},{"info":"⇑⪆144334⩌⋺⇑⪆-1110404=⇑⪆410024","layer":2},{"info":"⨴⫝⇑⪆410024=⇑⪆1211000243","layer":1},{"info":"⇑⪆22333∠↢⇑⪆40133=⇑⪆-2302032","layer":3},{"info":"⇑⪆21043⇂≾⫗⇑⪆201224=⇑⪆-10201","layer":3},{"info":"⇑⪆-2302032∣⇑⪆-10201=⇑⪆2311001","layer":2},{"info":"⇑⪆2311001↦=NaN","layer":1},{"info":"⇑⪆1211000243≒∊NaN=NaN","layer":0}]}
{"id":429,"expression_no_base_symbol":"(($1608$⇯⋐)⋕⪉⪜($2564$∐⫣))⇡⇂(($8457$⪒$5707$)⇼⇔∾(⩩$1630$))⋾⨃∁(($4496$⊴$5254$)≨(∐⩳⋚$1210$))⨔⇊(⇘($3922$∘$3533$))","expression":"((⇑⪆22413⇯⋐)⋕⪉⪜(⇑⪆40224∐⫣))⇡⇂((⇑⪆232312⪒⇑⪆140312)⇼⇔∾(⩩⇑⪆23010))⋾⨃∁((⇑⪆120441⊴⇑⪆132004)≨(∐⩳⋚⇑⪆14320))⨔⇊(⇘(⇑⪆111142∘⇑⪆103113))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":489302,"operation_count":14,"complexity_ratio":34950.142857142855,"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":1608,"base":5}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":2564,"base":5}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":8457,"base":5},"right_expr":{"type":"numeric_atoms","value":5707,"base":5}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1630,"base":5}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4496,"base":5},"right_expr":{"type":"numeric_atoms","value":5254,"base":5}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1210,"base":5}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3922,"base":5},"right_expr":{"type":"numeric_atoms","value":3533,"base":5}}}}},"used_operators":["212REbPD9h","UMwdvZNt44","z6LnFrNh4i","LkLIoiE525","4CyGpkTkEk","tifHPKVTfV","f6k1SAg4EE","kMhfGuqI2H","JclMnS0uGI","0KMCeP1Jsh","Nsiff2A1zJ","SL6IHkK8vl","MGuIdZPyUC","Z5m6OM72h2"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","dWAJyo7jo9","14qkJME0vr","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","eH2TOUuTDT","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1608","layer":4},{"info":"compute unary expreesion, input=1608, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=5702","layer":3},{"info":"number node, value=2564","layer":4},{"info":"compute unary expreesion, input=2564, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute binary expreesion, left_input=5702, right_input=551, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"number node, value=8457","layer":4},{"info":"number node, value=5707","layer":4},{"info":"compute binary expreesion, left_input=8457, right_input=5707, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-14164","layer":3},{"info":"number node, value=1630","layer":4},{"info":"compute unary expreesion, input=1630, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-14164, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2802, right_input=nan, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"number node, value=4496","layer":4},{"info":"number node, value=5254","layer":4},{"info":"compute binary expreesion, left_input=4496, right_input=5254, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1210","layer":4},{"info":"compute unary expreesion, input=1210, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=164327","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=164327, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":2},{"info":"number node, value=3922","layer":4},{"info":"number node, value=3533","layer":4},{"info":"compute binary expreesion, left_input=3922, right_input=3533, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=7844","layer":3},{"info":"compute unary expreesion, input=7844, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=465022","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=465022, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=465022","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=465022, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆22413⇯⋐)⋕⪉⪜(⇑⪆40224∐⫣))⇡⇂((⇑⪆232312⪒⇑⪆140312)⇼⇔∾(⩩⇑⪆23010))⋾⨃∁((⇑⪆120441⊴⇑⪆132004)≨(∐⩳⋚⇑⪆14320))⨔⇊(⇘(⇑⪆111142∘⇑⪆103113))=NaN","reverse_text":"NaN=((⇑⪆22413⇯⋐)⋕⪉⪜(⇑⪆40224∐⫣))⇡⇂((⇑⪆232312⪒⇑⪆140312)⇼⇔∾(⩩⇑⪆23010))⋾⨃∁((⇑⪆120441⊴⇑⪆132004)≨(∐⩳⋚⇑⪆14320))⨔⇊(⇘(⇑⪆111142∘⇑⪆103113))","cot":[{"info":"⇑⪆22413⇯⋐=⇑⪆140302","layer":3},{"info":"⇑⪆40224∐⫣=⇑⪆4201","layer":3},{"info":"⇑⪆140302⋕⪉⪜⇑⪆4201=⇑⪆42202","layer":2},{"info":"⇑⪆232312⪒⇑⪆140312=⇑⪆-423124","layer":3},{"info":"⩩⇑⪆23010=NaN","layer":3},{"info":"⇑⪆-423124⇼⇔∾NaN=NaN","layer":2},{"info":"⇑⪆42202⇡⇂NaN=NaN","layer":1},{"info":"⇑⪆120441⊴⇑⪆132004=NaN","layer":3},{"info":"∐⩳⋚⇑⪆14320=⇑⪆20224302","layer":3},{"info":"NaN≨⇑⪆20224302=NaN","layer":2},{"info":"⇑⪆111142∘⇑⪆103113=⇑⪆222334","layer":3},{"info":"⇘⇑⪆222334=⇑⪆104340042","layer":2},{"info":"NaN⨔⇊⇑⪆104340042=⇑⪆104340042","layer":1},{"info":"NaN⋾⨃∁⇑⪆104340042=NaN","layer":0}]}
{"id":430,"expression_no_base_symbol":"((≅≯⇸(⨙⪌$1883$))⋓($1115$≳⇉$5364$∛≔))⪛((⨩∲⋌($5069$⩎⪣⊞))↙$3398$→⨶⪴$1136$⋥≓≎$5225$⨿$5778$)","expression":"((≅≯⇸(⨙⪌⇑⪆30013))⋓(⇑⪆13430≳⇉⇑⪆132424∛≔))⪛((⨩∲⋌(⇑⪆130234⩎⪣⊞))↙⇑⪆102043→⨶⪴⇑⪆14021⋥≓≎⇑⪆131400⨿⇑⪆141103)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":366094176,"operation_count":12,"complexity_ratio":30507848.0,"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":1883,"base":5}}},"right_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1115,"base":5},"right_expr":{"type":"numeric_atoms","value":5364,"base":5}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":5069,"base":5}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3398,"base":5},"right_expr":{"type":"numeric_atoms","value":1136,"base":5}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":5225,"base":5},"right_expr":{"type":"numeric_atoms","value":5778,"base":5}}}}},"used_operators":["uFcxV4UQCh","T2fj7uvVaJ","apS25hmuAe","vEGLkm4Z2k","mGnSCrte3L","V0kx6qeWkN","yyfyN0ffXY","aSik1wnThz","waWucp1uQ4","Qy55tPpLXF","bF6eod5Gvf","abYXlopdE0"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","EBcxylXtPf","QMFrweE19q","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","mp7IySMOzn","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1883","layer":4},{"info":"compute unary expreesion, input=1883, 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 = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=11149","layer":2},{"info":"number node, value=1115","layer":4},{"info":"number node, value=5364","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=5364, 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 = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11149, 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":"number node, value=5069","layer":4},{"info":"compute unary expreesion, input=5069, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=10138","layer":3},{"info":"compute unary expreesion, input=10138, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-10661","layer":2},{"info":"number node, value=3398","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=3398, right_input=1136, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3408","layer":3},{"info":"number node, value=5225","layer":4},{"info":"number node, value=5778","layer":4},{"info":"compute binary expreesion, left_input=5225, right_input=5778, 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=-3408, right_input=-319, 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=-10661, right_input=67, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10661","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-10661, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((≅≯⇸(⨙⪌⇑⪆30013))⋓(⇑⪆13430≳⇉⇑⪆132424∛≔))⪛((⨩∲⋌(⇑⪆130234⩎⪣⊞))↙⇑⪆102043→⨶⪴⇑⪆14021⋥≓≎⇑⪆131400⨿⇑⪆141103)=NaN","reverse_text":"NaN=((≅≯⇸(⨙⪌⇑⪆30013))⋓(⇑⪆13430≳⇉⇑⪆132424∛≔))⪛((⨩∲⋌(⇑⪆130234⩎⪣⊞))↙⇑⪆102043→⨶⪴⇑⪆14021⋥≓≎⇑⪆131400⨿⇑⪆141103)","cot":[{"info":"⨙⪌⇑⪆30013=⇑⪆11433","layer":3},{"info":"≅≯⇸⇑⪆11433=⇑⪆324044","layer":2},{"info":"⇑⪆13430≳⇉⇑⪆132424=NaN","layer":3},{"info":"NaN∛≔=NaN","layer":2},{"info":"⇑⪆324044⋓NaN=NaN","layer":1},{"info":"⇑⪆130234⩎⪣⊞=⇑⪆311023","layer":3},{"info":"⨩∲⋌⇑⪆311023=⇑⪆-320121","layer":2},{"info":"⇑⪆102043→⨶⪴⇑⪆14021=⇑⪆-102113","layer":3},{"info":"⇑⪆131400⨿⇑⪆141103=⇑⪆-2234","layer":3},{"info":"⇑⪆-102113⋥≓≎⇑⪆-2234=⇑⪆232","layer":2},{"info":"⇑⪆-320121↙⇑⪆232=⇑⪆-320121","layer":1},{"info":"NaN⪛⇑⪆-320121=NaN","layer":0}]}
{"id":431,"expression_no_base_symbol":"((⪲⇎(∂$1323$))⋕⪉⪜((⋼∭⪍$3398$)∓⋝(↩$1792$)))↦","expression":"((⪲⇎(∂⇑⪆20243))⋕⪉⪜((⋼∭⪍⇑⪆102043)∓⋝(↩⇑⪆24132)))↦","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":424,"operation_count":7,"complexity_ratio":60.57142857142857,"tree":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1323,"base":5}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":3398,"base":5}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1792,"base":5}}}}},"used_operators":["fFznvYxMfW","z6LnFrNh4i","XPYlsWDdGa","Uaa54Peajs","PoHhknlbAi","DbCuESL50I","jLgFTUHLKL"],"dependent_operators":["L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1323","layer":4},{"info":"compute unary expreesion, input=1323, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"number node, value=3398","layer":4},{"info":"compute unary expreesion, input=3398, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-11852","layer":3},{"info":"number node, value=1792","layer":4},{"info":"compute unary expreesion, input=1792, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-11556","layer":3},{"info":"compute binary expreesion, left_input=-11852, right_input=-11556, 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 = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute unary expreesion, input=204, 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":5,"result_base":5,"text":"((⪲⇎(∂⇑⪆20243))⋕⪉⪜((⋼∭⪍⇑⪆102043)∓⋝(↩⇑⪆24132)))↦=NaN","reverse_text":"NaN=((⪲⇎(∂⇑⪆20243))⋕⪉⪜((⋼∭⪍⇑⪆102043)∓⋝(↩⇑⪆24132)))↦","cot":[{"info":"∂⇑⪆20243=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"⋼∭⪍⇑⪆102043=⇑⪆-334402","layer":3},{"info":"↩⇑⪆24132=⇑⪆-332211","layer":3},{"info":"⇑⪆-334402∓⋝⇑⪆-332211=⇑⪆232","layer":2},{"info":"NaN⋕⪉⪜⇑⪆232=⇑⪆1304","layer":1},{"info":"⇑⪆1304↦=NaN","layer":0}]}
{"id":432,"expression_no_base_symbol":"((($1251$⋥≓≎$3278$)⩺⪪($1140$↱$1062$))⨜⨶(⪹($6911$⨒$1542$)))⪘⨀","expression":"(((⇑⪆20001⋥≓≎⇑⪆101103)⩺⪪(⇑⪆14030↱⇑⪆13222))⨜⨶(⪹(⇑⪆210121⨒⇑⪆22132)))⪘⨀","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":244,"operation_count":7,"complexity_ratio":34.857142857142854,"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":1251,"base":5},"right_expr":{"type":"numeric_atoms","value":3278,"base":5}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1140,"base":5},"right_expr":{"type":"numeric_atoms","value":1062,"base":5}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":6911,"base":5},"right_expr":{"type":"numeric_atoms","value":1542,"base":5}}}}},"used_operators":["aA7tF3KVD3","HiPekx5b7W","uvdQJvN4PV","Qy55tPpLXF","SR5kFfdi6N","USyYr0JgAa","y75s1iXyHd"],"dependent_operators":["bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","tifHPKVTfV","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"⇑⪆20233114","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1251","layer":4},{"info":"number node, value=3278","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=3278, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5338","layer":3},{"info":"number node, value=1140","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=1062, 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=-2664","layer":3},{"info":"compute binary expreesion, left_input=5338, right_input=-2664, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-128930","layer":2},{"info":"number node, value=6911","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=6911, right_input=1542, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-41094","layer":3},{"info":"compute unary expreesion, input=-41094, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=41274","layer":2},{"info":"compute binary expreesion, left_input=-128930, right_input=41274, 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=-82292","layer":1},{"info":"compute unary expreesion, input=-82292, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=164784","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆20001⋥≓≎⇑⪆101103)⩺⪪(⇑⪆14030↱⇑⪆13222))⨜⨶(⪹(⇑⪆210121⨒⇑⪆22132)))⪘⨀=⇑⪆20233114","reverse_text":"⇑⪆20233114=(((⇑⪆20001⋥≓≎⇑⪆101103)⩺⪪(⇑⪆14030↱⇑⪆13222))⨜⨶(⪹(⇑⪆210121⨒⇑⪆22132)))⪘⨀","cot":[{"info":"⇑⪆20001⋥≓≎⇑⪆101103=⇑⪆132323","layer":3},{"info":"⇑⪆14030↱⇑⪆13222=⇑⪆-41124","layer":3},{"info":"⇑⪆132323⩺⪪⇑⪆-41124=⇑⪆-13111210","layer":2},{"info":"⇑⪆210121⨒⇑⪆22132=⇑⪆-2303334","layer":3},{"info":"⪹⇑⪆-2303334=⇑⪆2310044","layer":2},{"info":"⇑⪆-13111210⨜⨶⇑⪆2310044=⇑⪆-10113132","layer":1},{"info":"⇑⪆-10113132⪘⨀=⇑⪆20233114","layer":0}]}
{"id":433,"expression_no_base_symbol":"(($2774$≒∊$4645$⊜)≓∲($2525$∝$1091$)⋣⋖($4266$∪⫐$2501$))↡⊰⫅(⇵⪽(⫇(⪭⩑⪱$1323$)))","expression":"((⇑⪆42044≒∊⇑⪆122040⊜)≓∲(⇑⪆40100∝⇑⪆13331)⋣⋖(⇑⪆114031∪⫐⇑⪆40001))↡⊰⫅(⇵⪽(⫇(⪭⩑⪱⇑⪆20243)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":161726,"operation_count":10,"complexity_ratio":16172.6,"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":2774,"base":5},"right_expr":{"type":"numeric_atoms","value":4645,"base":5}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2525,"base":5},"right_expr":{"type":"numeric_atoms","value":1091,"base":5}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":4266,"base":5},"right_expr":{"type":"numeric_atoms","value":2501,"base":5}}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":1323,"base":5}}}}},"used_operators":["VCtxkLNOzz","s1XTVnmDOJ","Eev2Q7dYIw","5KTvxBwnZo","J0M6qkBnIM","cTDWOvIxvz","7YooWSwCyH","ZGCBLdVRRX","YjI8oCXuph","SIgE0bArFf"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rJVOvQCfKK","2DDjHMKMc0","U7g4x0WXJJ","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2774","layer":4},{"info":"number node, value=4645","layer":4},{"info":"compute binary expreesion, left_input=2774, right_input=4645, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2290","layer":3},{"info":"compute unary expreesion, input=-2290, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=13630","layer":2},{"info":"number node, value=2525","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=2525, right_input=1091, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2530","layer":3},{"info":"number node, value=4266","layer":4},{"info":"number node, value=2501","layer":4},{"info":"compute binary expreesion, left_input=4266, right_input=2501, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=4266","layer":3},{"info":"compute binary expreesion, left_input=2530, right_input=4266, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2530","layer":2},{"info":"compute binary expreesion, left_input=13630, right_input=2530, 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=137083","layer":1},{"info":"number node, value=1323","layer":4},{"info":"compute unary expreesion, input=1323, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute unary expreesion, input=8320752, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-16640290","layer":2},{"info":"compute unary expreesion, input=-16640290, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=137083, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆42044≒∊⇑⪆122040⊜)≓∲(⇑⪆40100∝⇑⪆13331)⋣⋖(⇑⪆114031∪⫐⇑⪆40001))↡⊰⫅(⇵⪽(⫇(⪭⩑⪱⇑⪆20243)))=NaN","reverse_text":"NaN=((⇑⪆42044≒∊⇑⪆122040⊜)≓∲(⇑⪆40100∝⇑⪆13331)⋣⋖(⇑⪆114031∪⫐⇑⪆40001))↡⊰⫅(⇵⪽(⫇(⪭⩑⪱⇑⪆20243)))","cot":[{"info":"⇑⪆42044≒∊⇑⪆122040=⇑⪆-33130","layer":3},{"info":"⇑⪆-33130⊜=⇑⪆414010","layer":2},{"info":"⇑⪆40100∝⇑⪆13331=⇑⪆40110","layer":3},{"info":"⇑⪆114031∪⫐⇑⪆40001=⇑⪆114031","layer":3},{"info":"⇑⪆40110⋣⋖⇑⪆114031=⇑⪆40110","layer":2},{"info":"⇑⪆414010≓∲⇑⪆40110=⇑⪆13341313","layer":1},{"info":"⪭⩑⪱⇑⪆20243=⇑⪆4112231002","layer":3},{"info":"⫇⇑⪆4112231002=⇑⪆-13224442130","layer":2},{"info":"⇵⪽⇑⪆-13224442130=NaN","layer":1},{"info":"⇑⪆13341313↡⊰⫅NaN=NaN","layer":0}]}
{"id":434,"expression_no_base_symbol":"⇜((≇⪴$5072$≌$1953$)≒∊(($7476$⪐)⇌⫙⪟$3022$⨪↰⇹$2859$))","expression":"⇜((≇⪴⇑⪆130242≌⇑⪆30303)≒∊((⇑⪆214401⪐)⇌⫙⪟⇑⪆44042⨪↰⇹⇑⪆42414))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6079,"operation_count":7,"complexity_ratio":868.4285714285714,"tree":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":5072,"base":5},"right_expr":{"type":"numeric_atoms","value":1953,"base":5}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":7476,"base":5}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3022,"base":5},"right_expr":{"type":"numeric_atoms","value":2859,"base":5}}}}},"used_operators":["lFBm8KRb8F","5KTvxBwnZo","zoVPnxeHJ3","lyWz822IDG","AFVx7xoS7T","eH2TOUuTDT","tmPS8pqC7x"],"dependent_operators":["s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=5072","layer":4},{"info":"number node, value=1953","layer":4},{"info":"compute binary expreesion, left_input=5072, right_input=1953, 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 = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=nan","layer":2},{"info":"number node, value=7476","layer":4},{"info":"compute unary expreesion, input=7476, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=14952","layer":3},{"info":"number node, value=3022","layer":4},{"info":"number node, value=2859","layer":4},{"info":"compute binary expreesion, left_input=3022, right_input=2859, 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=3022","layer":3},{"info":"compute binary expreesion, left_input=14952, right_input=3022, 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=nan, right_input=113, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":1},{"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":0}],"base":5,"result_base":5,"text":"⇜((≇⪴⇑⪆130242≌⇑⪆30303)≒∊((⇑⪆214401⪐)⇌⫙⪟⇑⪆44042⨪↰⇹⇑⪆42414))=NaN","reverse_text":"NaN=⇜((≇⪴⇑⪆130242≌⇑⪆30303)≒∊((⇑⪆214401⪐)⇌⫙⪟⇑⪆44042⨪↰⇹⇑⪆42414))","cot":[{"info":"⇑⪆130242≌⇑⪆30303=NaN","layer":3},{"info":"≇⪴NaN=NaN","layer":2},{"info":"⇑⪆214401⪐=⇑⪆434302","layer":3},{"info":"⇑⪆44042⨪↰⇹⇑⪆42414=⇑⪆44042","layer":3},{"info":"⇑⪆434302⇌⫙⪟⇑⪆44042=⇑⪆423","layer":2},{"info":"NaN≒∊⇑⪆423=NaN","layer":1},{"info":"⇜NaN=NaN","layer":0}]}
{"id":435,"expression_no_base_symbol":"⊄⩳↩(⋗⩬⋾((⩷⨜⫀$3890$)≬⋮$1062$⩧⪆$1591$))","expression":"⊄⩳↩(⋗⩬⋾((⩷⨜⫀⇑⪆111030)≬⋮⇑⪆13222⩧⪆⇑⪆22331))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":26,"operation_count":5,"complexity_ratio":5.2,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":3890,"base":5}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1062,"base":5},"right_expr":{"type":"numeric_atoms","value":1591,"base":5}}}}},"used_operators":["8w2t5hMYqp","DpFCA1CohY","kbkesczE7y","CDi0ktkjQ4","Ikt5ks8PT7"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","ruOEQAzv1W","nhYeJWJD5X","eewbuw0ToL","t8gj7n24qd"],"result":"⇑⪆222222","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3890","layer":4},{"info":"compute unary expreesion, input=3890, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-3617","layer":3},{"info":"number node, value=1062","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=1591, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1591","layer":3},{"info":"compute binary expreesion, left_input=-3617, right_input=-1591, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-2604","layer":1},{"info":"compute unary expreesion, input=-2604, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=7812","layer":0}],"base":5,"result_base":5,"text":"⊄⩳↩(⋗⩬⋾((⩷⨜⫀⇑⪆111030)≬⋮⇑⪆13222⩧⪆⇑⪆22331))=⇑⪆222222","reverse_text":"⇑⪆222222=⊄⩳↩(⋗⩬⋾((⩷⨜⫀⇑⪆111030)≬⋮⇑⪆13222⩧⪆⇑⪆22331))","cot":[{"info":"⩷⨜⫀⇑⪆111030=⇑⪆-103432","layer":3},{"info":"⇑⪆13222⩧⪆⇑⪆22331=⇑⪆-22331","layer":3},{"info":"⇑⪆-103432≬⋮⇑⪆-22331=⇑⪆11433","layer":2},{"info":"⋗⩬⋾⇑⪆11433=⇑⪆-40404","layer":1},{"info":"⊄⩳↩⇑⪆-40404=⇑⪆222222","layer":0}]}
{"id":436,"expression_no_base_symbol":"($2148$⋥≓≎$2395$∕⩚$5752$⨻⩈⩔$6197$)≧⫂∧(↑($7027$+⇶⊼$1321$))⨽(↔((⊁⨺$1544$)⩺⪪($5308$⋐⇩⊬)))","expression":"(⇑⪆32043⋥≓≎⇑⪆34040∕⩚⇑⪆141002⨻⩈⩔⇑⪆144242)≧⫂∧(↑(⇑⪆211102+⇶⊼⇑⪆20241))⨽(↔((⊁⨺⇑⪆22134)⩺⪪(⇑⪆132213⋐⇩⊬)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3023,"operation_count":11,"complexity_ratio":274.8181818181818,"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":2148,"base":5},"right_expr":{"type":"numeric_atoms","value":2395,"base":5}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":5752,"base":5},"right_expr":{"type":"numeric_atoms","value":6197,"base":5}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7027,"base":5},"right_expr":{"type":"numeric_atoms","value":1321,"base":5}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1544,"base":5}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":5308,"base":5}}}}},"used_operators":["8HhzD0ZcuI","Ph9nP6C5qx","z9ffQ9n5Zr","Qy55tPpLXF","nEsXyWgiOK","tR7O2zTn5j","TpPTUOHfaN","ruOEQAzv1W","uvdQJvN4PV","PxiHyQbrIp","JuuLT1NoCs"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2148","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=2148, right_input=2395, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2675","layer":3},{"info":"number node, value=5752","layer":4},{"info":"number node, value=6197","layer":4},{"info":"compute binary expreesion, left_input=5752, right_input=6197, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=37615","layer":3},{"info":"compute binary expreesion, left_input=2675, right_input=37615, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2678","layer":2},{"info":"number node, value=7027","layer":4},{"info":"number node, value=1321","layer":4},{"info":"compute binary expreesion, left_input=7027, right_input=1321, 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 = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2678, 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=1544","layer":4},{"info":"compute unary expreesion, input=1544, 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=5308","layer":4},{"info":"compute unary expreesion, input=5308, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=5308","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=5308, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-93658","layer":2},{"info":"compute unary expreesion, input=-93658, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆32043⋥≓≎⇑⪆34040∕⩚⇑⪆141002⨻⩈⩔⇑⪆144242)≧⫂∧(↑(⇑⪆211102+⇶⊼⇑⪆20241))⨽(↔((⊁⨺⇑⪆22134)⩺⪪(⇑⪆132213⋐⇩⊬)))=NaN","reverse_text":"NaN=(⇑⪆32043⋥≓≎⇑⪆34040∕⩚⇑⪆141002⨻⩈⩔⇑⪆144242)≧⫂∧(↑(⇑⪆211102+⇶⊼⇑⪆20241))⨽(↔((⊁⨺⇑⪆22134)⩺⪪(⇑⪆132213⋐⇩⊬)))","cot":[{"info":"⇑⪆32043⋥≓≎⇑⪆34040=⇑⪆41200","layer":3},{"info":"⇑⪆141002⨻⩈⩔⇑⪆144242=⇑⪆2200430","layer":3},{"info":"⇑⪆41200∕⩚⇑⪆2200430=⇑⪆-41203","layer":2},{"info":"⇑⪆211102+⇶⊼⇑⪆20241=NaN","layer":3},{"info":"↑NaN=NaN","layer":2},{"info":"⇑⪆-41203≧⫂∧NaN=NaN","layer":1},{"info":"⊁⨺⇑⪆22134=⇑⪆1120","layer":3},{"info":"⇑⪆132213⋐⇩⊬=⇑⪆132213","layer":3},{"info":"⇑⪆1120⩺⪪⇑⪆132213=⇑⪆-10444113","layer":2},{"info":"↔⇑⪆-10444113=⇑⪆-1014","layer":1},{"info":"NaN⨽⇑⪆-1014=NaN","layer":0}]}
{"id":437,"expression_no_base_symbol":"⊲⪭($7729$⫣⪄⊒$1629$⪛($5918$⊍⩺⋍$5440$)⪉⨛($1462$⇡⇂$2628$⨲))","expression":"⊲⪭(⇑⪆221404⫣⪄⊒⇑⪆23004⪛(⇑⪆142133⊍⩺⋍⇑⪆133230)⪉⨛(⇑⪆21322⇡⇂⇑⪆41003⨲))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23413,"operation_count":7,"complexity_ratio":3344.714285714286,"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":7729,"base":5},"right_expr":{"type":"numeric_atoms","value":1629,"base":5}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":5918,"base":5},"right_expr":{"type":"numeric_atoms","value":5440,"base":5}}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1462,"base":5},"right_expr":{"type":"numeric_atoms","value":2628,"base":5}}}}},"used_operators":["k7HXdKtiEU","EWw2JM7wp4","uFcxV4UQCh","RabNbG55vr","OXDGMFPWZM","nLYMGWM7L8","UMwdvZNt44"],"dependent_operators":["i8ToyICDmI","xUOZtlo3hN","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7729","layer":4},{"info":"number node, value=1629","layer":4},{"info":"compute binary expreesion, left_input=7729, right_input=1629, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5430","layer":3},{"info":"number node, value=5918","layer":4},{"info":"number node, value=5440","layer":4},{"info":"compute binary expreesion, left_input=5918, right_input=5440, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5430, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=1462","layer":4},{"info":"number node, value=2628","layer":4},{"info":"compute binary expreesion, left_input=1462, right_input=2628, 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 = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4683709, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⊲⪭(⇑⪆221404⫣⪄⊒⇑⪆23004⪛(⇑⪆142133⊍⩺⋍⇑⪆133230)⪉⨛(⇑⪆21322⇡⇂⇑⪆41003⨲))=NaN","reverse_text":"NaN=⊲⪭(⇑⪆221404⫣⪄⊒⇑⪆23004⪛(⇑⪆142133⊍⩺⋍⇑⪆133230)⪉⨛(⇑⪆21322⇡⇂⇑⪆41003⨲))","cot":[{"info":"⇑⪆221404⫣⪄⊒⇑⪆23004=⇑⪆-133210","layer":3},{"info":"⇑⪆142133⊍⩺⋍⇑⪆133230=NaN","layer":3},{"info":"⇑⪆-133210⪛NaN=NaN","layer":2},{"info":"⇑⪆21322⇡⇂⇑⪆41003=NaN","layer":3},{"info":"NaN⨲=⇑⪆2144334314","layer":2},{"info":"NaN⪉⨛⇑⪆2144334314=NaN","layer":1},{"info":"⊲⪭NaN=NaN","layer":0}]}
{"id":438,"expression_no_base_symbol":"⇜⊴(⪡⇡≛($8405$≝⊿$1018$))∇⊂⋱(($2210$↪⪝)∕⩚$1015$⇼⇔∾$1463$)","expression":"⇜⊴(⪡⇡≛(⇑⪆232110≝⊿⇑⪆13033))∇⊂⋱((⇑⪆32320↪⪝)∕⩚⇑⪆13030⇼⇔∾⇑⪆21323)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":847,"operation_count":7,"complexity_ratio":121.0,"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":8405,"base":5},"right_expr":{"type":"numeric_atoms","value":1018,"base":5}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2210,"base":5}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1015,"base":5},"right_expr":{"type":"numeric_atoms","value":1463,"base":5}}}}},"used_operators":["XwDhCwWbUn","nhYeJWJD5X","qL4PrbW1Dq","OKKcZfAt5B","z9ffQ9n5Zr","l07mrZUIn9","tifHPKVTfV"],"dependent_operators":["WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","12rbrZMWeM","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8405","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=8405, right_input=1018, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-10974","layer":3},{"info":"compute unary expreesion, input=-10974, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-10974","layer":2},{"info":"number node, value=2210","layer":4},{"info":"compute unary expreesion, input=2210, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=135212220","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=1463","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=1463, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=448","layer":3},{"info":"compute binary expreesion, left_input=135212220, right_input=448, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10974, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":0}],"base":5,"result_base":5,"text":"⇜⊴(⪡⇡≛(⇑⪆232110≝⊿⇑⪆13033))∇⊂⋱((⇑⪆32320↪⪝)∕⩚⇑⪆13030⇼⇔∾⇑⪆21323)=NaN","reverse_text":"NaN=⇜⊴(⪡⇡≛(⇑⪆232110≝⊿⇑⪆13033))∇⊂⋱((⇑⪆32320↪⪝)∕⩚⇑⪆13030⇼⇔∾⇑⪆21323)","cot":[{"info":"⇑⪆232110≝⊿⇑⪆13033=⇑⪆-322344","layer":3},{"info":"⪡⇡≛⇑⪆-322344=⇑⪆-322344","layer":2},{"info":"⇑⪆32320↪⪝=⇑⪆234103242340","layer":3},{"info":"⇑⪆13030⇼⇔∾⇑⪆21323=⇑⪆3243","layer":3},{"info":"⇑⪆234103242340∕⩚⇑⪆3243=NaN","layer":2},{"info":"⇑⪆-322344∇⊂⋱NaN=NaN","layer":1},{"info":"⇜⊴NaN=NaN","layer":0}]}
{"id":439,"expression_no_base_symbol":"≑⋹(↥$7345$⪚$5694$≳⇉($3163$≥⨤⩑$1394$))","expression":"≑⋹(↥⇑⪆213340⪚⇑⪆140234≳⇉(⇑⪆100123≥⨤⩑⇑⪆21034))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":22536429,"operation_count":5,"complexity_ratio":4507285.8,"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":7345,"base":5},"right_expr":{"type":"numeric_atoms","value":5694,"base":5}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":3163,"base":5},"right_expr":{"type":"numeric_atoms","value":1394,"base":5}}}}},"used_operators":["6B9nyZLogK","A8NUZmVepG","V0kx6qeWkN","HrjLwUk87U","gJLn6v0xnP"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","k8jYdgA6NY","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=7345","layer":4},{"info":"number node, value=5694","layer":4},{"info":"compute binary expreesion, left_input=7345, right_input=5694, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=2946","layer":3},{"info":"number node, value=3163","layer":4},{"info":"number node, value=1394","layer":4},{"info":"compute binary expreesion, left_input=3163, right_input=1394, 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=2946, 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":2},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', 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":5,"result_base":5,"text":"≑⋹(↥⇑⪆213340⪚⇑⪆140234≳⇉(⇑⪆100123≥⨤⩑⇑⪆21034))=NaN","reverse_text":"NaN=≑⋹(↥⇑⪆213340⪚⇑⪆140234≳⇉(⇑⪆100123≥⨤⩑⇑⪆21034))","cot":[{"info":"⇑⪆213340⪚⇑⪆140234=⇑⪆43241","layer":3},{"info":"⇑⪆100123≥⨤⩑⇑⪆21034=⇑⪆14414","layer":3},{"info":"⇑⪆43241≳⇉⇑⪆14414=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"≑⋹NaN=NaN","layer":0}]}
{"id":440,"expression_no_base_symbol":"⩦⩻⨪(⇁⨣⪵$3592$⨳⩥⨓$6275$)∌↝($1948$⨔⇊$4372$)⪃⊛⇣($2881$⫌⩉⩟$4583$)","expression":"⩦⩻⨪(⇁⨣⪵⇑⪆103332⨳⩥⨓⇑⪆200100)∌↝(⇑⪆30243⨔⇊⇑⪆114442)⪃⊛⇣(⇑⪆43011⫌⩉⩟⇑⪆121313)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23226,"operation_count":7,"complexity_ratio":3318.0,"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":3592,"base":5},"right_expr":{"type":"numeric_atoms","value":6275,"base":5}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1948,"base":5},"right_expr":{"type":"numeric_atoms","value":4372,"base":5}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2881,"base":5},"right_expr":{"type":"numeric_atoms","value":4583,"base":5}}}}},"used_operators":["2td37pGCOC","9Isq31Ruls","inkyxCbjAn","nCS4ZIUYfx","rrgAzCduG9","JclMnS0uGI","XIIwhv8d0m"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=3592","layer":4},{"info":"number node, value=6275","layer":4},{"info":"compute binary expreesion, left_input=3592, right_input=6275, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2683","layer":3},{"info":"compute unary expreesion, input=2683, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1948","layer":4},{"info":"number node, value=4372","layer":4},{"info":"compute binary expreesion, left_input=1948, right_input=4372, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4372","layer":3},{"info":"number node, value=2881","layer":4},{"info":"number node, value=4583","layer":4},{"info":"compute binary expreesion, left_input=2881, right_input=4583, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=4372, right_input=-50, 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 = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , 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":5,"result_base":5,"text":"⩦⩻⨪(⇁⨣⪵⇑⪆103332⨳⩥⨓⇑⪆200100)∌↝(⇑⪆30243⨔⇊⇑⪆114442)⪃⊛⇣(⇑⪆43011⫌⩉⩟⇑⪆121313)=NaN","reverse_text":"NaN=⩦⩻⨪(⇁⨣⪵⇑⪆103332⨳⩥⨓⇑⪆200100)∌↝(⇑⪆30243⨔⇊⇑⪆114442)⪃⊛⇣(⇑⪆43011⫌⩉⩟⇑⪆121313)","cot":[{"info":"⇑⪆103332⨳⩥⨓⇑⪆200100=⇑⪆41213","layer":3},{"info":"⇁⨣⪵⇑⪆41213=NaN","layer":2},{"info":"⇑⪆30243⨔⇊⇑⪆114442=⇑⪆114442","layer":3},{"info":"⇑⪆43011⫌⩉⩟⇑⪆121313=⇑⪆-200","layer":3},{"info":"⇑⪆114442⪃⊛⇣⇑⪆-200=⇑⪆14414","layer":2},{"info":"NaN∌↝⇑⪆14414=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":441,"expression_no_base_symbol":"((($7402$/$2561$)⫸⊐($3326$⇉⇉))⨹)⫰⋱(⨈⫕(⨵($1192$↓$1213$)))","expression":"(((⇑⪆214102/⇑⪆40221)⫸⊐(⇑⪆101301⇉⇉))⨹)⫰⋱(⨈⫕(⨵(⇑⪆14232↓⇑⪆14323)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":21008,"operation_count":8,"complexity_ratio":2626.0,"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":7402,"base":5},"right_expr":{"type":"numeric_atoms","value":2561,"base":5}},"right_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":3326,"base":5}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1192,"base":5},"right_expr":{"type":"numeric_atoms","value":1213,"base":5}}}}},"used_operators":["6o9Blt3TJ6","UnCoSGIALn","mqXw5SEYmG","XhwjNDsVaA","diKm42VcIt","megm06wKyl","Tl3Y52tvF8","Af076pWI7l"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","mp7IySMOzn","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"⇑⪆100","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7402","layer":4},{"info":"number node, value=2561","layer":4},{"info":"compute binary expreesion, left_input=7402, right_input=2561, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=3326","layer":4},{"info":"compute unary expreesion, input=3326, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-211424","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=-211424, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4","layer":2},{"info":"compute unary expreesion, input=4, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=8","layer":1},{"info":"number node, value=1192","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=1213, 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 = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=6071","layer":2},{"info":"compute unary expreesion, input=6071, 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=8, right_input=-21, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=25","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆214102/⇑⪆40221)⫸⊐(⇑⪆101301⇉⇉))⨹)⫰⋱(⨈⫕(⨵(⇑⪆14232↓⇑⪆14323)))=⇑⪆100","reverse_text":"⇑⪆100=(((⇑⪆214102/⇑⪆40221)⫸⊐(⇑⪆101301⇉⇉))⨹)⫰⋱(⨈⫕(⨵(⇑⪆14232↓⇑⪆14323)))","cot":[{"info":"⇑⪆214102/⇑⪆40221=⇑⪆2","layer":3},{"info":"⇑⪆101301⇉⇉=⇑⪆-23231144","layer":3},{"info":"⇑⪆2⫸⊐⇑⪆-23231144=⇑⪆4","layer":2},{"info":"⇑⪆4⨹=⇑⪆13","layer":1},{"info":"⇑⪆14232↓⇑⪆14323=⇑⪆-1014","layer":3},{"info":"⨵⇑⪆-1014=⇑⪆143241","layer":2},{"info":"⨈⫕⇑⪆143241=⇑⪆-41","layer":1},{"info":"⇑⪆13⫰⋱⇑⪆-41=⇑⪆100","layer":0}]}
{"id":442,"expression_no_base_symbol":"($4827$⋓$5444$)↹⊜($3653$∷$2750$)⩒⫫((⊲⪭$1102$)≭($1489$⫡⨏$1362$))⫔⩽⩺(($1025$⨓$7169$⊍⩺⋍($2319$⊊))∖$5167$⪝$3292$⪛$3285$↓$1116$)","expression":"(⇑⪆123302⋓⇑⪆133234)↹⊜(⇑⪆104103∷⇑⪆42000)⩒⫫((⊲⪭⇑⪆13402)≭(⇑⪆21424⫡⨏⇑⪆20422))⫔⩽⩺((⇑⪆13100⨓⇑⪆212134⊍⩺⋍(⇑⪆33234⊊))∖⇑⪆131132⪝⇑⪆101132⪛⇑⪆101120↓⇑⪆13431)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":25163,"operation_count":15,"complexity_ratio":1677.5333333333333,"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":4827,"base":5},"right_expr":{"type":"numeric_atoms","value":5444,"base":5}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3653,"base":5},"right_expr":{"type":"numeric_atoms","value":2750,"base":5}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":1102,"base":5}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1489,"base":5},"right_expr":{"type":"numeric_atoms","value":1362,"base":5}}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1025,"base":5},"right_expr":{"type":"numeric_atoms","value":7169,"base":5}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":2319,"base":5}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":5167,"base":5},"right_expr":{"type":"numeric_atoms","value":3292,"base":5}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3285,"base":5},"right_expr":{"type":"numeric_atoms","value":1116,"base":5}}}}},"used_operators":["i9eR4S00cU","KFSx94NKJn","9bazX3JMtO","T2fj7uvVaJ","D3AQDKkPcf","rxpJgHHUmx","k7HXdKtiEU","QMFrweE19q","tXD093vOjl","OXDGMFPWZM","3ViojmjbAp","W9R8I5fN5A","uFcxV4UQCh","wicAB68Tmb","Af076pWI7l"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","NTOWxs364D","7j4O788W3g","AHs5Up7iyr","i8ToyICDmI","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4827","layer":4},{"info":"number node, value=5444","layer":4},{"info":"compute binary expreesion, left_input=4827, right_input=5444, 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=3653","layer":4},{"info":"number node, value=2750","layer":4},{"info":"compute binary expreesion, left_input=3653, right_input=2750, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2750","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2750, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-22096","layer":2},{"info":"number node, value=1102","layer":4},{"info":"compute unary expreesion, input=1102, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-1276","layer":3},{"info":"number node, value=1489","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=1489, right_input=1362, 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=10952","layer":3},{"info":"compute binary expreesion, left_input=-1276, right_input=10952, 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=-22096, 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":1},{"info":"number node, value=1025","layer":4},{"info":"number node, value=7169","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=7169, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7172","layer":3},{"info":"number node, value=2319","layer":4},{"info":"compute unary expreesion, input=2319, 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=-7172, right_input=90927, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=5167","layer":4},{"info":"number node, value=3292","layer":4},{"info":"compute binary expreesion, left_input=5167, right_input=3292, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-7899","layer":3},{"info":"number node, value=3285","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=3285, right_input=1116, 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=-7899, right_input=-134, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-127","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-127, 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=160, right_input=0, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆123302⋓⇑⪆133234)↹⊜(⇑⪆104103∷⇑⪆42000)⩒⫫((⊲⪭⇑⪆13402)≭(⇑⪆21424⫡⨏⇑⪆20422))⫔⩽⩺((⇑⪆13100⨓⇑⪆212134⊍⩺⋍(⇑⪆33234⊊))∖⇑⪆131132⪝⇑⪆101132⪛⇑⪆101120↓⇑⪆13431)=NaN","reverse_text":"NaN=(⇑⪆123302⋓⇑⪆133234)↹⊜(⇑⪆104103∷⇑⪆42000)⩒⫫((⊲⪭⇑⪆13402)≭(⇑⪆21424⫡⨏⇑⪆20422))⫔⩽⩺((⇑⪆13100⨓⇑⪆212134⊍⩺⋍(⇑⪆33234⊊))∖⇑⪆131132⪝⇑⪆101132⪛⇑⪆101120↓⇑⪆13431)","cot":[{"info":"⇑⪆123302⋓⇑⪆133234=⇑⪆0","layer":3},{"info":"⇑⪆104103∷⇑⪆42000=⇑⪆42000","layer":3},{"info":"⇑⪆0↹⊜⇑⪆42000=⇑⪆-1201341","layer":2},{"info":"⊲⪭⇑⪆13402=⇑⪆-20101","layer":3},{"info":"⇑⪆21424⫡⨏⇑⪆20422=⇑⪆322302","layer":3},{"info":"⇑⪆-20101≭⇑⪆322302=NaN","layer":2},{"info":"⇑⪆-1201341⩒⫫NaN=⇑⪆1120","layer":1},{"info":"⇑⪆13100⨓⇑⪆212134=⇑⪆-212142","layer":3},{"info":"⇑⪆33234⊊=⇑⪆10402202","layer":3},{"info":"⇑⪆-212142⊍⩺⋍⇑⪆10402202=NaN","layer":2},{"info":"⇑⪆131132⪝⇑⪆101132=⇑⪆-223044","layer":3},{"info":"⇑⪆101120↓⇑⪆13431=⇑⪆-1014","layer":3},{"info":"⇑⪆-223044⪛⇑⪆-1014=⇑⪆-1002","layer":2},{"info":"NaN∖⇑⪆-1002=⇑⪆0","layer":1},{"info":"⇑⪆1120⫔⩽⩺⇑⪆0=NaN","layer":0}]}
{"id":443,"expression_no_base_symbol":"(($6707$∊∟⩊$3696$⨔≚≋($3161$≫≃))⫉⨲⊜($1065$⪚$1936$)⊮⊟↴($3330$⫘$2154$))⊢(((⇜$1352$)⋳⪒$3605$∺≝⩲$5653$)⪘⫢$3115$⊉↱≁$2390$∘($1346$⇌⫙⪟$3141$))","expression":"((⇑⪆203312∊∟⩊⇑⪆104241⨔≚≋(⇑⪆100121≫≃))⫉⨲⊜(⇑⪆13230⪚⇑⪆30221)⊮⊟↴(⇑⪆101310⫘⇑⪆32104))⊢(((⇜⇑⪆20402)⋳⪒⇑⪆103410∺≝⩲⇑⪆140103)⪘⫢⇑⪆44430⊉↱≁⇑⪆34030∘(⇑⪆20341⇌⫙⪟⇑⪆100031))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":4084,"operation_count":15,"complexity_ratio":272.26666666666665,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":6707,"base":5},"right_expr":{"type":"numeric_atoms","value":3696,"base":5}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3161,"base":5}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1065,"base":5},"right_expr":{"type":"numeric_atoms","value":1936,"base":5}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":3330,"base":5},"right_expr":{"type":"numeric_atoms","value":2154,"base":5}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1352,"base":5}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3605,"base":5},"right_expr":{"type":"numeric_atoms","value":5653,"base":5}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3115,"base":5},"right_expr":{"type":"numeric_atoms","value":2390,"base":5}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1346,"base":5},"right_expr":{"type":"numeric_atoms","value":3141,"base":5}}}}},"used_operators":["5twsqlHp2o","WhqkvtTD3t","Z57zeUYC9z","ddLRYrp01A","X99M06cbEe","QDVgd2eftb","HrjLwUk87U","48vC8HMD2b","oacrs7FA3X","12rbrZMWeM","lFBm8KRb8F","KPf6cnQVty","Z5m6OM72h2","w2P8NbNXyL","AFVx7xoS7T"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","eewbuw0ToL","zVYPLywUTj","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"⇑⪆-44","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6707","layer":4},{"info":"number node, value=3696","layer":4},{"info":"compute binary expreesion, left_input=6707, right_input=3696, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3696","layer":3},{"info":"number node, value=3161","layer":4},{"info":"compute unary expreesion, input=3161, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7723","layer":3},{"info":"compute binary expreesion, left_input=3696, right_input=7723, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"number node, value=1065","layer":4},{"info":"number node, value=1936","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=1936, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-2098","layer":3},{"info":"number node, value=3330","layer":4},{"info":"number node, value=2154","layer":4},{"info":"compute binary expreesion, left_input=3330, right_input=2154, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3920485","layer":3},{"info":"compute binary expreesion, left_input=-2098, right_input=3920485, 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=9872, right_input=0, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-110","layer":1},{"info":"number node, value=1352","layer":4},{"info":"compute unary expreesion, input=1352, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-11224","layer":3},{"info":"number node, value=3605","layer":4},{"info":"number node, value=5653","layer":4},{"info":"compute binary expreesion, left_input=3605, right_input=5653, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-11224, right_input=160, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-22895","layer":2},{"info":"number node, value=3115","layer":4},{"info":"number node, value=2390","layer":4},{"info":"compute binary expreesion, left_input=3115, right_input=2390, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=16758","layer":3},{"info":"number node, value=1346","layer":4},{"info":"number node, value=3141","layer":4},{"info":"compute binary expreesion, left_input=1346, right_input=3141, 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=16758, right_input=113, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-16378","layer":2},{"info":"compute binary expreesion, left_input=-22895, right_input=-16378, 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":1},{"info":"compute binary expreesion, left_input=-110, right_input=-1, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-24","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆203312∊∟⩊⇑⪆104241⨔≚≋(⇑⪆100121≫≃))⫉⨲⊜(⇑⪆13230⪚⇑⪆30221)⊮⊟↴(⇑⪆101310⫘⇑⪆32104))⊢(((⇜⇑⪆20402)⋳⪒⇑⪆103410∺≝⩲⇑⪆140103)⪘⫢⇑⪆44430⊉↱≁⇑⪆34030∘(⇑⪆20341⇌⫙⪟⇑⪆100031))=⇑⪆-44","reverse_text":"⇑⪆-44=((⇑⪆203312∊∟⩊⇑⪆104241⨔≚≋(⇑⪆100121≫≃))⫉⨲⊜(⇑⪆13230⪚⇑⪆30221)⊮⊟↴(⇑⪆101310⫘⇑⪆32104))⊢(((⇜⇑⪆20402)⋳⪒⇑⪆103410∺≝⩲⇑⪆140103)⪘⫢⇑⪆44430⊉↱≁⇑⪆34030∘(⇑⪆20341⇌⫙⪟⇑⪆100031))","cot":[{"info":"⇑⪆203312∊∟⩊⇑⪆104241=⇑⪆104241","layer":3},{"info":"⇑⪆100121≫≃=⇑⪆221343","layer":3},{"info":"⇑⪆104241⨔≚≋⇑⪆221343=⇑⪆303442","layer":2},{"info":"⇑⪆13230⪚⇑⪆30221=⇑⪆-31343","layer":3},{"info":"⇑⪆101310⫘⇑⪆32104=⇑⪆2000423420","layer":3},{"info":"⇑⪆-31343⊮⊟↴⇑⪆2000423420=⇑⪆0","layer":2},{"info":"⇑⪆303442⫉⨲⊜⇑⪆0=⇑⪆-420","layer":1},{"info":"⇜⇑⪆20402=⇑⪆-324344","layer":3},{"info":"⇑⪆103410∺≝⩲⇑⪆140103=⇑⪆1120","layer":3},{"info":"⇑⪆-324344⋳⪒⇑⪆1120=⇑⪆-1213040","layer":2},{"info":"⇑⪆44430⊉↱≁⇑⪆34030=⇑⪆1014013","layer":3},{"info":"⇑⪆20341⇌⫙⪟⇑⪆100031=⇑⪆423","layer":3},{"info":"⇑⪆1014013∘⇑⪆423=⇑⪆-1011003","layer":2},{"info":"⇑⪆-1213040⪘⫢⇑⪆-1011003=⇑⪆-1","layer":1},{"info":"⇑⪆-420⊢⇑⪆-1=⇑⪆-44","layer":0}]}
{"id":444,"expression_no_base_symbol":"(($2597$∙⊟$1544$)∌(⪁⇼$9306$)+⪬∐($1350$⪬$5366$⊋≦⊧($5007$%$3198$)))⩦((⊽($2097$↫))∽(≸≮($1074$⨎$2792$)))","expression":"((⇑⪆40342∙⊟⇑⪆22134)∌(⪁⇼⇑⪆244211)+⪬∐(⇑⪆20400⪬⇑⪆132431⊋≦⊧(⇑⪆130012%⇑⪆100243)))⩦((⊽(⇑⪆31342↫))∽(≸≮(⇑⪆13244⨎⇑⪆42132)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":13222,"operation_count":13,"complexity_ratio":1017.0769230769231,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2597,"base":5},"right_expr":{"type":"numeric_atoms","value":1544,"base":5}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":9306,"base":5}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1350,"base":5},"right_expr":{"type":"numeric_atoms","value":5366,"base":5}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5007,"base":5},"right_expr":{"type":"numeric_atoms","value":3198,"base":5}}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":2097,"base":5}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1074,"base":5},"right_expr":{"type":"numeric_atoms","value":2792,"base":5}}}}},"used_operators":["0kmYd0q39Y","2GS7woTJqF","8cLx32lpNA","SxTAKzQCrw","ZNVVrZ94lY","oRDoc9rAEX","Ez1Nq5fNfI","k8jYdgA6NY","y4ImoPnbV5","QxG7OkqoLX","uPb5QRN0te","AljMvE3RRm","rJVOvQCfKK"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","NTOWxs364D","QMFrweE19q","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⇑⪆40112","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2597","layer":4},{"info":"number node, value=1544","layer":4},{"info":"compute binary expreesion, left_input=2597, right_input=1544, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=43607","layer":3},{"info":"number node, value=9306","layer":4},{"info":"compute unary expreesion, input=9306, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=43607, right_input=422, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-422","layer":2},{"info":"number node, value=1350","layer":4},{"info":"number node, value=5366","layer":4},{"info":"compute binary expreesion, left_input=1350, right_input=5366, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=5007","layer":4},{"info":"number node, value=3198","layer":4},{"info":"compute binary expreesion, left_input=5007, right_input=3198, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1809","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1809, 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=-2803","layer":2},{"info":"compute binary expreesion, left_input=-422, right_input=-2803, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=1266","layer":1},{"info":"number node, value=2097","layer":4},{"info":"compute unary expreesion, input=2097, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=1842","layer":2},{"info":"number node, value=1074","layer":4},{"info":"number node, value=2792","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=2792, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2792","layer":3},{"info":"compute unary expreesion, input=2792, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1842, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1266, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2532","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆40342∙⊟⇑⪆22134)∌(⪁⇼⇑⪆244211)+⪬∐(⇑⪆20400⪬⇑⪆132431⊋≦⊧(⇑⪆130012%⇑⪆100243)))⩦((⊽(⇑⪆31342↫))∽(≸≮(⇑⪆13244⨎⇑⪆42132)))=⇑⪆40112","reverse_text":"⇑⪆40112=((⇑⪆40342∙⊟⇑⪆22134)∌(⪁⇼⇑⪆244211)+⪬∐(⇑⪆20400⪬⇑⪆132431⊋≦⊧(⇑⪆130012%⇑⪆100243)))⩦((⊽(⇑⪆31342↫))∽(≸≮(⇑⪆13244⨎⇑⪆42132)))","cot":[{"info":"⇑⪆40342∙⊟⇑⪆22134=⇑⪆2343412","layer":3},{"info":"⪁⇼⇑⪆244211=⇑⪆3142","layer":3},{"info":"⇑⪆2343412∌⇑⪆3142=⇑⪆-3142","layer":2},{"info":"⇑⪆20400⪬⇑⪆132431=⇑⪆14414","layer":3},{"info":"⇑⪆130012%⇑⪆100243=⇑⪆24214","layer":3},{"info":"⇑⪆14414⊋≦⊧⇑⪆24214=⇑⪆-42203","layer":2},{"info":"⇑⪆-3142+⪬∐⇑⪆-42203=⇑⪆20031","layer":1},{"info":"⇑⪆31342↫=⇑⪆1120","layer":3},{"info":"⊽⇑⪆1120=⇑⪆24332","layer":2},{"info":"⇑⪆13244⨎⇑⪆42132=⇑⪆42132","layer":3},{"info":"≸≮⇑⪆42132=NaN","layer":2},{"info":"⇑⪆24332∽NaN=NaN","layer":1},{"info":"⇑⪆20031⩦NaN=⇑⪆40112","layer":0}]}
{"id":445,"expression_no_base_symbol":"((⨞⊢$1038$⨰$1205$)⪛⫼($2290$⫸⊐$2103$)⫸⇳$4366$↹⊜$2730$)⇷(($2846$⪨⊡$4884$)⨰(∓$4378$)∷)","expression":"((⨞⊢⇑⪆13123⨰⇑⪆14310)⪛⫼(⇑⪆33130⫸⊐⇑⪆31403)⫸⇳⇑⪆114431↹⊜⇑⪆41410)⇷((⇑⪆42341⪨⊡⇑⪆124014)⨰(∓⇑⪆120003)∷)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13742,"operation_count":11,"complexity_ratio":1249.2727272727273,"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":1038,"base":5},"right_expr":{"type":"numeric_atoms","value":1205,"base":5}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2290,"base":5},"right_expr":{"type":"numeric_atoms","value":2103,"base":5}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":4366,"base":5},"right_expr":{"type":"numeric_atoms","value":2730,"base":5}}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2846,"base":5},"right_expr":{"type":"numeric_atoms","value":4884,"base":5}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":4378,"base":5}}}}},"used_operators":["mp7IySMOzn","hyuBjUqXlG","xUOZtlo3hN","eewbuw0ToL","gx7XJ7hdpj","mqXw5SEYmG","9bazX3JMtO","nFAOW8KTqp","kuIXHzHcAH","OwUj7dcsQK"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q"],"result":"⇑⪆102021222","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1038","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=1205, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-157","layer":3},{"info":"compute unary expreesion, input=-157, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-17","layer":2},{"info":"number node, value=2290","layer":4},{"info":"number node, value=2103","layer":4},{"info":"compute binary expreesion, left_input=2290, right_input=2103, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8287","layer":3},{"info":"number node, value=4366","layer":4},{"info":"number node, value=2730","layer":4},{"info":"compute binary expreesion, left_input=4366, right_input=2730, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-2284","layer":3},{"info":"compute binary expreesion, left_input=8287, right_input=-2284, 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=-17, right_input=0, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"number node, value=2846","layer":4},{"info":"number node, value=4884","layer":4},{"info":"compute binary expreesion, left_input=2846, right_input=4884, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=4378","layer":4},{"info":"compute unary expreesion, input=4378, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-70542","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-70542, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=70552","layer":2},{"info":"compute unary expreesion, input=70552, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=211656","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=211656, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=423312","layer":0}],"base":5,"result_base":5,"text":"((⨞⊢⇑⪆13123⨰⇑⪆14310)⪛⫼(⇑⪆33130⫸⊐⇑⪆31403)⫸⇳⇑⪆114431↹⊜⇑⪆41410)⇷((⇑⪆42341⪨⊡⇑⪆124014)⨰(∓⇑⪆120003)∷)=⇑⪆102021222","reverse_text":"⇑⪆102021222=((⨞⊢⇑⪆13123⨰⇑⪆14310)⪛⫼(⇑⪆33130⫸⊐⇑⪆31403)⫸⇳⇑⪆114431↹⊜⇑⪆41410)⇷((⇑⪆42341⪨⊡⇑⪆124014)⨰(∓⇑⪆120003)∷)","cot":[{"info":"⇑⪆13123⨰⇑⪆14310=⇑⪆-1112","layer":3},{"info":"⨞⊢⇑⪆-1112=⇑⪆-32","layer":2},{"info":"⇑⪆33130⫸⊐⇑⪆31403=⇑⪆231122","layer":3},{"info":"⇑⪆114431↹⊜⇑⪆41410=⇑⪆-33114","layer":3},{"info":"⇑⪆231122⫸⇳⇑⪆-33114=⇑⪆0","layer":2},{"info":"⇑⪆-32⪛⫼⇑⪆0=⇑⪆12333","layer":1},{"info":"⇑⪆42341⪨⊡⇑⪆124014=⇑⪆0","layer":3},{"info":"∓⇑⪆120003=⇑⪆-4224132","layer":3},{"info":"⇑⪆0⨰⇑⪆-4224132=⇑⪆4224202","layer":2},{"info":"⇑⪆4224202∷=⇑⪆23233111","layer":1},{"info":"⇑⪆12333⇷⇑⪆23233111=⇑⪆102021222","layer":0}]}
{"id":446,"expression_no_base_symbol":"(($4262$⊔$4026$)⋹⋡⊁($1770$∘$1226$)⪢($1788$⨽⪊≇)⪎↠($3959$⫸⇳$2907$))⫣⪄⊒(≯($2185$↬⩅∪)⩼⇪↪$1494$∓⋝$1493$)","expression":"((⇑⪆114022⊔⇑⪆112101)⋹⋡⊁(⇑⪆24040∘⇑⪆14401)⪢(⇑⪆24123⨽⪊≇)⪎↠(⇑⪆111314⫸⇳⇑⪆43112))⫣⪄⊒(≯(⇑⪆32220↬⩅∪)⩼⇪↪⇑⪆21434∓⋝⇑⪆21433)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":62912,"operation_count":12,"complexity_ratio":5242.666666666667,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":4262,"base":5},"right_expr":{"type":"numeric_atoms","value":4026,"base":5}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1770,"base":5},"right_expr":{"type":"numeric_atoms","value":1226,"base":5}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":1788,"base":5}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3959,"base":5},"right_expr":{"type":"numeric_atoms","value":2907,"base":5}}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":2185,"base":5}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1494,"base":5},"right_expr":{"type":"numeric_atoms","value":1493,"base":5}}}}},"used_operators":["RabNbG55vr","dWAJyo7jo9","As8RqfVLgs","E4l6HwMY31","Z5m6OM72h2","3tVxb0NHM4","nlCqmYiOvY","gx7XJ7hdpj","keWfFq85dY","ocnLzx9CaJ","VJ330n2nnx","PoHhknlbAi"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","k8jYdgA6NY","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","g55IO6H4Gj","JLbD19bQDL","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⇑⪆1120","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4262","layer":4},{"info":"number node, value=4026","layer":4},{"info":"compute binary expreesion, left_input=4262, right_input=4026, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=26254","layer":3},{"info":"number node, value=1770","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=1770, right_input=1226, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3540","layer":3},{"info":"compute binary expreesion, left_input=26254, right_input=3540, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4290","layer":2},{"info":"number node, value=1788","layer":4},{"info":"compute unary expreesion, input=1788, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=3050","layer":3},{"info":"number node, value=3959","layer":4},{"info":"number node, value=2907","layer":4},{"info":"compute binary expreesion, left_input=3959, right_input=2907, 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=3050, right_input=0, 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=4290, 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=2185","layer":4},{"info":"compute unary expreesion, input=2185, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-6555","layer":3},{"info":"number node, value=1494","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=1493, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-6555, right_input=67, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-14362","layer":2},{"info":"compute unary expreesion, input=-14362, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":5,"result_base":5,"text":"((⇑⪆114022⊔⇑⪆112101)⋹⋡⊁(⇑⪆24040∘⇑⪆14401)⪢(⇑⪆24123⨽⪊≇)⪎↠(⇑⪆111314⫸⇳⇑⪆43112))⫣⪄⊒(≯(⇑⪆32220↬⩅∪)⩼⇪↪⇑⪆21434∓⋝⇑⪆21433)=⇑⪆1120","reverse_text":"⇑⪆1120=((⇑⪆114022⊔⇑⪆112101)⋹⋡⊁(⇑⪆24040∘⇑⪆14401)⪢(⇑⪆24123⨽⪊≇)⪎↠(⇑⪆111314⫸⇳⇑⪆43112))⫣⪄⊒(≯(⇑⪆32220↬⩅∪)⩼⇪↪⇑⪆21434∓⋝⇑⪆21433)","cot":[{"info":"⇑⪆114022⊔⇑⪆112101=⇑⪆1320004","layer":3},{"info":"⇑⪆24040∘⇑⪆14401=⇑⪆103130","layer":3},{"info":"⇑⪆1320004⋹⋡⊁⇑⪆103130=⇑⪆114130","layer":2},{"info":"⇑⪆24123⨽⪊≇=⇑⪆44200","layer":3},{"info":"⇑⪆111314⫸⇳⇑⪆43112=⇑⪆0","layer":3},{"info":"⇑⪆44200⪎↠⇑⪆0=⇑⪆1120","layer":2},{"info":"⇑⪆114130⪢⇑⪆1120=NaN","layer":1},{"info":"⇑⪆32220↬⩅∪=⇑⪆-202210","layer":3},{"info":"⇑⪆21434∓⋝⇑⪆21433=⇑⪆232","layer":3},{"info":"⇑⪆-202210⩼⇪↪⇑⪆232=⇑⪆-424422","layer":2},{"info":"≯⇑⪆-424422=⇑⪆0","layer":1},{"info":"NaN⫣⪄⊒⇑⪆0=⇑⪆1120","layer":0}]}
{"id":447,"expression_no_base_symbol":"⩰(↯⪼(∂(⊖∈$6361$)))","expression":"⩰(↯⪼(∂(⊖∈⇑⪆200421)))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":96,"operation_count":4,"complexity_ratio":24.0,"tree":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":6361,"base":5}}}}},"used_operators":["WkeUrDK8WX","8jW3W4yZS5","Uaa54Peajs","YFxL8Sc2Zy"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"⇑⪆-12404","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6361","layer":4},{"info":"compute unary expreesion, input=6361, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=121626","layer":3},{"info":"compute unary expreesion, input=121626, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute 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 unary expreesion, input=-21, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-979","layer":0}],"base":5,"result_base":5,"text":"⩰(↯⪼(∂(⊖∈⇑⪆200421)))=⇑⪆-12404","reverse_text":"⇑⪆-12404=⩰(↯⪼(∂(⊖∈⇑⪆200421)))","cot":[{"info":"⊖∈⇑⪆200421=⇑⪆12343001","layer":3},{"info":"∂⇑⪆12343001=NaN","layer":2},{"info":"↯⪼NaN=⇑⪆-41","layer":1},{"info":"⩰⇑⪆-41=⇑⪆-12404","layer":0}]}
{"id":448,"expression_no_base_symbol":"(⇜⊴$1931$⪶≀⋏$2478$⊨(⊄⩳↩$1416$))⊉↱≁(⫵↿$5750$≁↽≥$3737$⨽∌(↓⇌$4770$))","expression":"(⇜⊴⇑⪆30211⪶≀⋏⇑⪆34403⊨(⊄⩳↩⇑⪆21131))⊉↱≁(⫵↿⇑⪆141000≁↽≥⇑⪆104422⨽∌(↓⇌⇑⪆123040))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":268,"operation_count":9,"complexity_ratio":29.77777777777778,"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":1931,"base":5},"right_expr":{"type":"numeric_atoms","value":2478,"base":5}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1416,"base":5}}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":5750,"base":5},"right_expr":{"type":"numeric_atoms","value":3737,"base":5}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":4770,"base":5}}}}},"used_operators":["w2P8NbNXyL","XwDhCwWbUn","vg4gO5BX6G","zR4jO40bMj","8w2t5hMYqp","ivGwdmUAux","9samAPKr6k","ncHt1X6cMc","PxpmPgHHJV"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","oWn0xqSxBt","3Oe9XWJUTD","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q"],"result":"⇑⪆200241401","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1931","layer":4},{"info":"number node, value=2478","layer":4},{"info":"compute binary expreesion, left_input=1931, right_input=2478, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-10981","layer":3},{"info":"number node, value=1416","layer":4},{"info":"compute unary expreesion, input=1416, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4248","layer":3},{"info":"compute binary expreesion, left_input=-10981, right_input=-4248, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"compute unary expreesion, input=-174, 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=79110","layer":1},{"info":"number node, value=5750","layer":4},{"info":"number node, value=3737","layer":4},{"info":"compute binary expreesion, left_input=5750, right_input=3737, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=77120","layer":3},{"info":"number node, value=4770","layer":4},{"info":"compute unary expreesion, input=4770, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=4770","layer":3},{"info":"compute binary expreesion, left_input=77120, right_input=4770, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, 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=79110, right_input=137, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=790226","layer":0}],"base":5,"result_base":5,"text":"(⇜⊴⇑⪆30211⪶≀⋏⇑⪆34403⊨(⊄⩳↩⇑⪆21131))⊉↱≁(⫵↿⇑⪆141000≁↽≥⇑⪆104422⨽∌(↓⇌⇑⪆123040))=⇑⪆200241401","reverse_text":"⇑⪆200241401=(⇜⊴⇑⪆30211⪶≀⋏⇑⪆34403⊨(⊄⩳↩⇑⪆21131))⊉↱≁(⫵↿⇑⪆141000≁↽≥⇑⪆104422⨽∌(↓⇌⇑⪆123040))","cot":[{"info":"⇑⪆30211⪶≀⋏⇑⪆34403=⇑⪆-322411","layer":3},{"info":"⊄⩳↩⇑⪆21131=⇑⪆-113443","layer":3},{"info":"⇑⪆-322411⊨⇑⪆-113443=⇑⪆-1144","layer":2},{"info":"⇜⊴⇑⪆-1144=⇑⪆10012420","layer":1},{"info":"⇑⪆141000≁↽≥⇑⪆104422=⇑⪆4431440","layer":3},{"info":"↓⇌⇑⪆123040=⇑⪆123040","layer":3},{"info":"⇑⪆4431440⨽∌⇑⪆123040=⇑⪆0","layer":2},{"info":"⫵↿⇑⪆0=⇑⪆1022","layer":1},{"info":"⇑⪆10012420⊉↱≁⇑⪆1022=⇑⪆200241401","layer":0}]}
{"id":449,"expression_no_base_symbol":"($1102$⨰$1933$⩷∴$1609$⫒⫫$1270$)⪚($4578$⊋$3780$)⨑⩅≇($1817$≳⇉$6600$)⊬⫿⊭","expression":"(⇑⪆13402⨰⇑⪆30213⩷∴⇑⪆22414⫒⫫⇑⪆20040)⪚(⇑⪆121303⊋⇑⪆110110)⨑⩅≇(⇑⪆24232≳⇉⇑⪆202400)⊬⫿⊭","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":15069,"operation_count":8,"complexity_ratio":1883.625,"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":1102,"base":5},"right_expr":{"type":"numeric_atoms","value":1933,"base":5}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1609,"base":5},"right_expr":{"type":"numeric_atoms","value":1270,"base":5}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":4578,"base":5},"right_expr":{"type":"numeric_atoms","value":3780,"base":5}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1817,"base":5},"right_expr":{"type":"numeric_atoms","value":6600,"base":5}}}}},"used_operators":["v0DYgG9ikt","HrjLwUk87U","9FxExcQeMw","eewbuw0ToL","6Ko8hGgeMq","h92wMvzauj","W4tP9CfskL","V0kx6qeWkN"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1102","layer":4},{"info":"number node, value=1933","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=1933, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-821","layer":3},{"info":"number node, value=1609","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=1609, right_input=1270, 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=-821, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=4578","layer":4},{"info":"number node, value=3780","layer":4},{"info":"compute binary expreesion, left_input=4578, right_input=3780, 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=24771852","layer":3},{"info":"number node, value=1817","layer":4},{"info":"number node, value=6600","layer":4},{"info":"compute binary expreesion, left_input=1817, right_input=6600, 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=24771852, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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 unary expreesion, input=nan, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆13402⨰⇑⪆30213⩷∴⇑⪆22414⫒⫫⇑⪆20040)⪚(⇑⪆121303⊋⇑⪆110110)⨑⩅≇(⇑⪆24232≳⇉⇑⪆202400)⊬⫿⊭=NaN","reverse_text":"NaN=(⇑⪆13402⨰⇑⪆30213⩷∴⇑⪆22414⫒⫫⇑⪆20040)⪚(⇑⪆121303⊋⇑⪆110110)⨑⩅≇(⇑⪆24232≳⇉⇑⪆202400)⊬⫿⊭","cot":[{"info":"⇑⪆13402⨰⇑⪆30213=⇑⪆-11241","layer":3},{"info":"⇑⪆22414⫒⫫⇑⪆20040=NaN","layer":3},{"info":"⇑⪆-11241⩷∴NaN=NaN","layer":2},{"info":"⇑⪆121303⊋⇑⪆110110=⇑⪆22320144402","layer":3},{"info":"⇑⪆24232≳⇉⇑⪆202400=NaN","layer":3},{"info":"⇑⪆22320144402⨑⩅≇NaN=NaN","layer":2},{"info":"NaN⪚NaN=NaN","layer":1},{"info":"NaN⊬⫿⊭=NaN","layer":0}]}
{"id":450,"expression_no_base_symbol":"($2569$⩣⫁∢$4163$⨔≚≋($4400$⪒$3013$)⪨⊡($2012$⋝⋈⪟$3741$)≴⪞⇿($1450$∛$5228$))⪃⊛⇣(($3359$⨥⫆$3054$⊢)⫿)","expression":"(⇑⪆40234⩣⫁∢⇑⪆113123⨔≚≋(⇑⪆120100⪒⇑⪆44023)⪨⊡(⇑⪆31022⋝⋈⪟⇑⪆104431)≴⪞⇿(⇑⪆21300∛⇑⪆131403))⪃⊛⇣((⇑⪆101414⨥⫆⇑⪆44204⊢)⫿)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2539,"operation_count":11,"complexity_ratio":230.8181818181818,"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":2569,"base":5},"right_expr":{"type":"numeric_atoms","value":4163,"base":5}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4400,"base":5},"right_expr":{"type":"numeric_atoms","value":3013,"base":5}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2012,"base":5},"right_expr":{"type":"numeric_atoms","value":3741,"base":5}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1450,"base":5},"right_expr":{"type":"numeric_atoms","value":5228,"base":5}}}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3359,"base":5},"right_expr":{"type":"numeric_atoms","value":3054,"base":5}}}}},"used_operators":["rrgAzCduG9","kuIXHzHcAH","Z57zeUYC9z","JDUIKTTSIa","f6k1SAg4EE","lvlrscuwVU","2DDjHMKMc0","w2537kitQq","9tKT6PmtkH","40aOVDgCDB","yXekIHxTD4"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","NTOWxs364D","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"⇑⪆14414","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2569","layer":4},{"info":"number node, value=4163","layer":4},{"info":"compute binary expreesion, left_input=2569, right_input=4163, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-4977","layer":3},{"info":"number node, value=4400","layer":4},{"info":"number node, value=3013","layer":4},{"info":"compute binary expreesion, left_input=4400, right_input=3013, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7413","layer":3},{"info":"compute binary expreesion, left_input=-4977, right_input=-7413, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=136176","layer":2},{"info":"number node, value=2012","layer":4},{"info":"number node, value=3741","layer":4},{"info":"compute binary expreesion, left_input=2012, right_input=3741, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2012","layer":3},{"info":"number node, value=1450","layer":4},{"info":"number node, value=5228","layer":4},{"info":"compute binary expreesion, left_input=1450, right_input=5228, 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=2012, right_input=-670, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=6040733","layer":2},{"info":"compute binary expreesion, left_input=136176, right_input=6040733, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=3359","layer":4},{"info":"number node, value=3054","layer":4},{"info":"compute binary expreesion, left_input=3359, right_input=3054, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=5984","layer":3},{"info":"compute unary expreesion, input=5984, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-6231","layer":2},{"info":"compute unary expreesion, input=-6231, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=12462","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=12462, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆40234⩣⫁∢⇑⪆113123⨔≚≋(⇑⪆120100⪒⇑⪆44023)⪨⊡(⇑⪆31022⋝⋈⪟⇑⪆104431)≴⪞⇿(⇑⪆21300∛⇑⪆131403))⪃⊛⇣((⇑⪆101414⨥⫆⇑⪆44204⊢)⫿)=⇑⪆14414","reverse_text":"⇑⪆14414=(⇑⪆40234⩣⫁∢⇑⪆113123⨔≚≋(⇑⪆120100⪒⇑⪆44023)⪨⊡(⇑⪆31022⋝⋈⪟⇑⪆104431)≴⪞⇿(⇑⪆21300∛⇑⪆131403))⪃⊛⇣((⇑⪆101414⨥⫆⇑⪆44204⊢)⫿)","cot":[{"info":"⇑⪆40234⩣⫁∢⇑⪆113123=⇑⪆-124402","layer":3},{"info":"⇑⪆120100⪒⇑⪆44023=⇑⪆-214123","layer":3},{"info":"⇑⪆-124402⨔≚≋⇑⪆-214123=⇑⪆13324201","layer":2},{"info":"⇑⪆31022⋝⋈⪟⇑⪆104431=⇑⪆31022","layer":3},{"info":"⇑⪆21300∛⇑⪆131403=⇑⪆-10140","layer":3},{"info":"⇑⪆31022≴⪞⇿⇑⪆-10140=⇑⪆3021300413","layer":2},{"info":"⇑⪆13324201⪨⊡⇑⪆3021300413=⇑⪆0","layer":1},{"info":"⇑⪆101414⨥⫆⇑⪆44204=⇑⪆142414","layer":3},{"info":"⇑⪆142414⊢=⇑⪆-144411","layer":2},{"info":"⇑⪆-144411⫿=⇑⪆344322","layer":1},{"info":"⇑⪆0⪃⊛⇣⇑⪆344322=⇑⪆14414","layer":0}]}
{"id":451,"expression_no_base_symbol":"⊙↵-($1040$⇴∐$6607$⨑≵⋬$1707$⊋≦⊧$1472$%($5140$∼$7816$⫚↹⊑$1489$⫒⫫$1047$))","expression":"⊙↵-(⇑⪆13130⇴∐⇑⪆202412⨑≵⋬⇑⪆23312⊋≦⊧⇑⪆21342%(⇑⪆131030∼⇑⪆222231⫚↹⊑⇑⪆21424⫒⫫⇑⪆13142))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":216,"operation_count":8,"complexity_ratio":27.0,"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":1040,"base":5},"right_expr":{"type":"numeric_atoms","value":6607,"base":5}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1707,"base":5},"right_expr":{"type":"numeric_atoms","value":1472,"base":5}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5140,"base":5},"right_expr":{"type":"numeric_atoms","value":7816,"base":5}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1489,"base":5},"right_expr":{"type":"numeric_atoms","value":1047,"base":5}}}}},"used_operators":["oWn0xqSxBt","k8jYdgA6NY","XnXgA4xnOs","HnzytWxmAO","oRDoc9rAEX","dfKe02y8D2","DyGG3AbaNP","6Ko8hGgeMq"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1040","layer":4},{"info":"number node, value=6607","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=6607, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1707","layer":4},{"info":"number node, value=1472","layer":4},{"info":"compute binary expreesion, left_input=1707, right_input=1472, 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=-2704","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2704, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":2},{"info":"number node, value=5140","layer":4},{"info":"number node, value=7816","layer":4},{"info":"compute binary expreesion, left_input=5140, right_input=7816, 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=1489","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=1489, right_input=1047, 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 = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = k8jYdgA6NY binary_op_definition= 'None', 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":5,"result_base":5,"text":"⊙↵-(⇑⪆13130⇴∐⇑⪆202412⨑≵⋬⇑⪆23312⊋≦⊧⇑⪆21342%(⇑⪆131030∼⇑⪆222231⫚↹⊑⇑⪆21424⫒⫫⇑⪆13142))=NaN","reverse_text":"NaN=⊙↵-(⇑⪆13130⇴∐⇑⪆202412⨑≵⋬⇑⪆23312⊋≦⊧⇑⪆21342%(⇑⪆131030∼⇑⪆222231⫚↹⊑⇑⪆21424⫒⫫⇑⪆13142))","cot":[{"info":"⇑⪆13130⇴∐⇑⪆202412=NaN","layer":3},{"info":"⇑⪆23312⊋≦⊧⇑⪆21342=⇑⪆-41304","layer":3},{"info":"NaN⨑≵⋬⇑⪆-41304=NaN","layer":2},{"info":"⇑⪆131030∼⇑⪆222231=NaN","layer":3},{"info":"⇑⪆21424⫒⫫⇑⪆13142=NaN","layer":3},{"info":"NaN⫚↹⊑NaN=⇑⪆-3242","layer":2},{"info":"NaN%⇑⪆-3242=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":452,"expression_no_base_symbol":"($2628$⊱⇼⊻$5546$⩒⫫($2494$⊭↱$3446$))∳⫺(⇙⪊(⋂$1328$))⨚⇆($1641$∘$1147$≬⋮$2873$⪎↠$2939$)⪪($1520$⊢$1764$≚⋢)","expression":"(⇑⪆41003⊱⇼⊻⇑⪆134141⩒⫫(⇑⪆34434⊭↱⇑⪆102241))∳⫺(⇙⪊(⋂⇑⪆20303))⨚⇆(⇑⪆23031∘⇑⪆14042≬⋮⇑⪆42443⪎↠⇑⪆43224)⪪(⇑⪆22040⊢⇑⪆24024≚⋢)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4848,"operation_count":13,"complexity_ratio":372.9230769230769,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2628,"base":5},"right_expr":{"type":"numeric_atoms","value":5546,"base":5}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2494,"base":5},"right_expr":{"type":"numeric_atoms","value":3446,"base":5}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1328,"base":5}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1641,"base":5},"right_expr":{"type":"numeric_atoms","value":1147,"base":5}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2873,"base":5},"right_expr":{"type":"numeric_atoms","value":2939,"base":5}}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1520,"base":5},"right_expr":{"type":"numeric_atoms","value":1764,"base":5}}}}},"used_operators":["lwHaAYXP2r","AzXXKTstlj","KFSx94NKJn","FyVja0WsTP","COABgblf1C","pB6Fcnrjim","BUOGQAYlQx","xD69zh8xqp","kbkesczE7y","Z5m6OM72h2","3tVxb0NHM4","MahUMFw56D","5twsqlHp2o"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","eH2TOUuTDT","rysDP5nf3Z","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","3ViojmjbAp","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2628","layer":4},{"info":"number node, value=5546","layer":4},{"info":"compute binary expreesion, left_input=2628, right_input=5546, 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=2494","layer":4},{"info":"number node, value=3446","layer":4},{"info":"compute binary expreesion, left_input=2494, right_input=3446, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1909","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=1909, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=132","layer":2},{"info":"number node, value=1328","layer":4},{"info":"compute unary expreesion, input=1328, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-17996","layer":3},{"info":"compute unary expreesion, input=-17996, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=132, right_input=0, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=1641","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=1641, right_input=1147, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3282","layer":3},{"info":"number node, value=2873","layer":4},{"info":"number node, value=2939","layer":4},{"info":"compute binary expreesion, left_input=2873, right_input=2939, 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=3282, right_input=160, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=1520","layer":4},{"info":"number node, value=1764","layer":4},{"info":"compute binary expreesion, left_input=1520, right_input=1764, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3284","layer":3},{"info":"compute unary expreesion, input=-3284, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=-89, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-127157","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=-127157, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆41003⊱⇼⊻⇑⪆134141⩒⫫(⇑⪆34434⊭↱⇑⪆102241))∳⫺(⇙⪊(⋂⇑⪆20303))⨚⇆(⇑⪆23031∘⇑⪆14042≬⋮⇑⪆42443⪎↠⇑⪆43224)⪪(⇑⪆22040⊢⇑⪆24024≚⋢)=NaN","reverse_text":"NaN=(⇑⪆41003⊱⇼⊻⇑⪆134141⩒⫫(⇑⪆34434⊭↱⇑⪆102241))∳⫺(⇙⪊(⋂⇑⪆20303))⨚⇆(⇑⪆23031∘⇑⪆14042≬⋮⇑⪆42443⪎↠⇑⪆43224)⪪(⇑⪆22040⊢⇑⪆24024≚⋢)","cot":[{"info":"⇑⪆41003⊱⇼⊻⇑⪆134141=⇑⪆3214","layer":3},{"info":"⇑⪆34434⊭↱⇑⪆102241=⇑⪆30114","layer":3},{"info":"⇑⪆3214⩒⫫⇑⪆30114=⇑⪆1012","layer":2},{"info":"⋂⇑⪆20303=⇑⪆-1033441","layer":3},{"info":"⇙⪊⇑⪆-1033441=⇑⪆0","layer":2},{"info":"⇑⪆1012∳⫺⇑⪆0=⇑⪆-2020","layer":1},{"info":"⇑⪆23031∘⇑⪆14042=⇑⪆101112","layer":3},{"info":"⇑⪆42443⪎↠⇑⪆43224=⇑⪆1120","layer":3},{"info":"⇑⪆101112≬⋮⇑⪆1120=⇑⪆11433","layer":2},{"info":"⇑⪆22040⊢⇑⪆24024=⇑⪆-101114","layer":3},{"info":"⇑⪆-101114≚⋢=⇑⪆-324","layer":2},{"info":"⇑⪆11433⪪⇑⪆-324=⇑⪆-13032112","layer":1},{"info":"⇑⪆-2020⨚⇆⇑⪆-13032112=NaN","layer":0}]}
{"id":453,"expression_no_base_symbol":"($1000$≎⪠$4881$)⨂≜($7877$≝⊿$6000$)⊋(($5438$⩘⨬⇊)⨽$2401$⫯⪬∳$6924$)⋅⇍((⇵⪽($1651$⫍⨯↯))⨱∎)","expression":"(⇑⪆13000≎⪠⇑⪆124011)⨂≜(⇑⪆223002≝⊿⇑⪆143000)⊋((⇑⪆133223⩘⨬⇊)⨽⇑⪆34101⫯⪬∳⇑⪆210144)⋅⇍((⇵⪽(⇑⪆23101⫍⨯↯))⨱∎)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":42587,"operation_count":11,"complexity_ratio":3871.5454545454545,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1000,"base":5},"right_expr":{"type":"numeric_atoms","value":4881,"base":5}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":7877,"base":5},"right_expr":{"type":"numeric_atoms","value":6000,"base":5}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":5438,"base":5}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2401,"base":5},"right_expr":{"type":"numeric_atoms","value":6924,"base":5}}}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":1651,"base":5}}}}},"used_operators":["AdZkA7nFnk","W4tP9CfskL","k1SHOSEABc","aNhz54LH3e","OKKcZfAt5B","8HhzD0ZcuI","XXmTpEpWTW","d7ASUq0ydm","MmTdOpaElr","ZGCBLdVRRX","ZcwmYACASQ"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","tifHPKVTfV","U7g4x0WXJJ","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"number node, value=4881","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=4881, 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=7877","layer":4},{"info":"number node, value=6000","layer":4},{"info":"compute binary expreesion, left_input=7877, right_input=6000, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-20410","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=-20410, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=5438","layer":4},{"info":"compute unary expreesion, input=5438, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"number node, value=2401","layer":4},{"info":"number node, value=6924","layer":4},{"info":"compute binary expreesion, left_input=2401, right_input=6924, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=5114","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5114, 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 = 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=1651","layer":4},{"info":"compute unary expreesion, input=1651, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=1618","layer":3},{"info":"compute unary expreesion, input=1618, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', 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":5,"result_base":5,"text":"(⇑⪆13000≎⪠⇑⪆124011)⨂≜(⇑⪆223002≝⊿⇑⪆143000)⊋((⇑⪆133223⩘⨬⇊)⨽⇑⪆34101⫯⪬∳⇑⪆210144)⋅⇍((⇵⪽(⇑⪆23101⫍⨯↯))⨱∎)=NaN","reverse_text":"NaN=(⇑⪆13000≎⪠⇑⪆124011)⨂≜(⇑⪆223002≝⊿⇑⪆143000)⊋((⇑⪆133223⩘⨬⇊)⨽⇑⪆34101⫯⪬∳⇑⪆210144)⋅⇍((⇵⪽(⇑⪆23101⫍⨯↯))⨱∎)","cot":[{"info":"⇑⪆13000≎⪠⇑⪆124011=⇑⪆1111213","layer":3},{"info":"⇑⪆223002≝⊿⇑⪆143000=⇑⪆-1123120","layer":3},{"info":"⇑⪆1111213⨂≜⇑⪆-1123120=NaN","layer":2},{"info":"⇑⪆133223⩘⨬⇊=NaN","layer":3},{"info":"⇑⪆34101⫯⪬∳⇑⪆210144=⇑⪆130424","layer":3},{"info":"NaN⨽⇑⪆130424=NaN","layer":2},{"info":"NaN⊋NaN=NaN","layer":1},{"info":"⇑⪆23101⫍⨯↯=⇑⪆22433","layer":3},{"info":"⇵⪽⇑⪆22433=NaN","layer":2},{"info":"NaN⨱∎=NaN","layer":1},{"info":"NaN⋅⇍NaN=NaN","layer":0}]}
{"id":454,"expression_no_base_symbol":"↩⪖(⨦⪝(⇠($2744$⊴⇁⪶)))","expression":"↩⪖(⨦⪝(⇠(⇑⪆41434⊴⇁⪶)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2959,"operation_count":4,"complexity_ratio":739.75,"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":2744,"base":5}}}}},"used_operators":["fG6uBQFnGz","SUjycxNXIR","18saOjeKKm","oo9mF6JIpo"],"dependent_operators":["rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE"],"result":"⇑⪆1233212","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2744","layer":4},{"info":"compute unary expreesion, input=2744, 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=52690","layer":3},{"info":"compute unary expreesion, input=52690, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-52448","layer":2},{"info":"compute unary expreesion, input=-52448, 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 = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=24182","layer":0}],"base":5,"result_base":5,"text":"↩⪖(⨦⪝(⇠(⇑⪆41434⊴⇁⪶)))=⇑⪆1233212","reverse_text":"⇑⪆1233212=↩⪖(⨦⪝(⇠(⇑⪆41434⊴⇁⪶)))","cot":[{"info":"⇑⪆41434⊴⇁⪶=⇑⪆3141230","layer":3},{"info":"⇠⇑⪆3141230=⇑⪆-3134243","layer":2},{"info":"⨦⪝⇑⪆-3134243=⇑⪆-30014","layer":1},{"info":"↩⪖⇑⪆-30014=⇑⪆1233212","layer":0}]}
{"id":455,"expression_no_base_symbol":"(⊙↵-($2401$⨐⩸⫘$4523$⪒$2595$⨭⪣$3512$))⫯⪬∳(($1777$⪕$5446$)⪶≀⋏$1774$⫯⪬∳$3102$∷)","expression":"(⊙↵-(⇑⪆34101⨐⩸⫘⇑⪆121043⪒⇑⪆40340⨭⪣⇑⪆103022))⫯⪬∳((⇑⪆24102⪕⇑⪆133241)⪶≀⋏⇑⪆24044⫯⪬∳⇑⪆44402∷)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":118,"operation_count":9,"complexity_ratio":13.11111111111111,"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":2401,"base":5},"right_expr":{"type":"numeric_atoms","value":4523,"base":5}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2595,"base":5},"right_expr":{"type":"numeric_atoms","value":3512,"base":5}}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1777,"base":5},"right_expr":{"type":"numeric_atoms","value":5446,"base":5}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1774,"base":5},"right_expr":{"type":"numeric_atoms","value":3102,"base":5}}}}},"used_operators":["d7ASUq0ydm","oWn0xqSxBt","f6k1SAg4EE","fu6greOZ01","kn8WO9XteQ","nFAOW8KTqp","zR4jO40bMj","umQnsF7QlU"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2401","layer":4},{"info":"number node, value=4523","layer":4},{"info":"compute binary expreesion, left_input=2401, right_input=4523, 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=2595","layer":4},{"info":"number node, value=3512","layer":4},{"info":"compute binary expreesion, left_input=2595, right_input=3512, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1316","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1316, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":1},{"info":"number node, value=1777","layer":4},{"info":"number node, value=5446","layer":4},{"info":"compute binary expreesion, left_input=1777, right_input=5446, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"number node, value=1774","layer":4},{"info":"number node, value=3102","layer":4},{"info":"compute binary expreesion, left_input=1774, right_input=3102, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=5801","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=5801, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=46408","layer":2},{"info":"compute unary expreesion, input=46408, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=139224","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=139224, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⊙↵-(⇑⪆34101⨐⩸⫘⇑⪆121043⪒⇑⪆40340⨭⪣⇑⪆103022))⫯⪬∳((⇑⪆24102⪕⇑⪆133241)⪶≀⋏⇑⪆24044⫯⪬∳⇑⪆44402∷)=NaN","reverse_text":"NaN=(⊙↵-(⇑⪆34101⨐⩸⫘⇑⪆121043⪒⇑⪆40340⨭⪣⇑⪆103022))⫯⪬∳((⇑⪆24102⪕⇑⪆133241)⪶≀⋏⇑⪆24044⫯⪬∳⇑⪆44402∷)","cot":[{"info":"⇑⪆34101⨐⩸⫘⇑⪆121043=NaN","layer":3},{"info":"⇑⪆40340⨭⪣⇑⪆103022=⇑⪆20231","layer":3},{"info":"NaN⪒⇑⪆20231=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⇑⪆24102⪕⇑⪆133241=⇑⪆-210","layer":3},{"info":"⇑⪆24044⫯⪬∳⇑⪆44402=⇑⪆141201","layer":3},{"info":"⇑⪆-210⪶≀⋏⇑⪆141201=⇑⪆2441113","layer":2},{"info":"⇑⪆2441113∷=⇑⪆13423344","layer":1},{"info":"NaN⫯⪬∳⇑⪆13423344=NaN","layer":0}]}
{"id":456,"expression_no_base_symbol":"(($5383$⫌⩉⩟$3555$)≹⇙⪍($7075$⋣⋖$3844$))≴⪞⇿($4352$⇻⋧≁$1357$⩍⋽⫝̸(↥$7078$))⪎↠(($7819$∥⊢⊲$1649$≃$2515$⋹⋡⊁$2569$)⨚(($1689$⇐≅)+($4391$⪨≂$1404$)))","expression":"((⇑⪆133013⫌⩉⩟⇑⪆103210)≹⇙⪍(⇑⪆211300⋣⋖⇑⪆110334))≴⪞⇿(⇑⪆114402⇻⋧≁⇑⪆20412⩍⋽⫝̸(↥⇑⪆211303))⪎↠((⇑⪆222234∥⊢⊲⇑⪆23044≃⇑⪆40030⋹⋡⊁⇑⪆40234)⨚((⇑⪆23224⇐≅)+(⇑⪆120031⪨≂⇑⪆21104)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":85837,"operation_count":15,"complexity_ratio":5722.466666666666,"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":5383,"base":5},"right_expr":{"type":"numeric_atoms","value":3555,"base":5}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":7075,"base":5},"right_expr":{"type":"numeric_atoms","value":3844,"base":5}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":4352,"base":5},"right_expr":{"type":"numeric_atoms","value":1357,"base":5}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":7078,"base":5}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":7819,"base":5},"right_expr":{"type":"numeric_atoms","value":1649,"base":5}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2515,"base":5},"right_expr":{"type":"numeric_atoms","value":2569,"base":5}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":1689,"base":5}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4391,"base":5},"right_expr":{"type":"numeric_atoms","value":1404,"base":5}}}}},"used_operators":["3tVxb0NHM4","lvlrscuwVU","AHs5Up7iyr","XIIwhv8d0m","J0M6qkBnIM","BiWNJpBvwn","jCPkEVoL5K","A8NUZmVepG","nREPSIbpBE","YbVcJGFEVW","v1UQAVDJRr","As8RqfVLgs","W4YGzv6Whe","wEfv7U73WA","sdazOOVcIp"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","dWAJyo7jo9","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Ph9nP6C5qx","xUOZtlo3hN","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","k8jYdgA6NY","BjRHVeLaeN","12rbrZMWeM","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","EBcxylXtPf","rGHVDoGpnC","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5383","layer":4},{"info":"number node, value=3555","layer":4},{"info":"compute binary expreesion, left_input=5383, right_input=3555, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=7075","layer":4},{"info":"number node, value=3844","layer":4},{"info":"compute binary expreesion, left_input=7075, right_input=3844, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=7075","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=7075, 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=4352","layer":4},{"info":"number node, value=1357","layer":4},{"info":"compute binary expreesion, left_input=4352, right_input=1357, 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=7078","layer":4},{"info":"compute unary expreesion, input=7078, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=40","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=40, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-249","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-249, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":1},{"info":"number node, value=7819","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=7819, right_input=1649, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=2515","layer":4},{"info":"number node, value=2569","layer":4},{"info":"compute binary expreesion, left_input=2515, right_input=2569, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3319","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3319, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":2},{"info":"number node, value=1689","layer":4},{"info":"compute unary expreesion, input=1689, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=5035","layer":3},{"info":"number node, value=4391","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=4391, right_input=1404, 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=6076","layer":3},{"info":"compute binary expreesion, left_input=5035, right_input=6076, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11111","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11111, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆133013⫌⩉⩟⇑⪆103210)≹⇙⪍(⇑⪆211300⋣⋖⇑⪆110334))≴⪞⇿(⇑⪆114402⇻⋧≁⇑⪆20412⩍⋽⫝̸(↥⇑⪆211303))⪎↠((⇑⪆222234∥⊢⊲⇑⪆23044≃⇑⪆40030⋹⋡⊁⇑⪆40234)⨚((⇑⪆23224⇐≅)+(⇑⪆120031⪨≂⇑⪆21104)))=NaN","reverse_text":"NaN=((⇑⪆133013⫌⩉⩟⇑⪆103210)≹⇙⪍(⇑⪆211300⋣⋖⇑⪆110334))≴⪞⇿(⇑⪆114402⇻⋧≁⇑⪆20412⩍⋽⫝̸(↥⇑⪆211303))⪎↠((⇑⪆222234∥⊢⊲⇑⪆23044≃⇑⪆40030⋹⋡⊁⇑⪆40234)⨚((⇑⪆23224⇐≅)+(⇑⪆120031⪨≂⇑⪆21104)))","cot":[{"info":"⇑⪆133013⫌⩉⩟⇑⪆103210=⇑⪆-200","layer":3},{"info":"⇑⪆211300⋣⋖⇑⪆110334=⇑⪆211300","layer":3},{"info":"⇑⪆-200≹⇙⪍⇑⪆211300=NaN","layer":2},{"info":"⇑⪆114402⇻⋧≁⇑⪆20412=⇑⪆-3242","layer":3},{"info":"↥⇑⪆211303=⇑⪆130","layer":3},{"info":"⇑⪆-3242⩍⋽⫝̸⇑⪆130=⇑⪆-1444","layer":2},{"info":"NaN≴⪞⇿⇑⪆-1444=NaN","layer":1},{"info":"⇑⪆222234∥⊢⊲⇑⪆23044=NaN","layer":3},{"info":"⇑⪆40030⋹⋡⊁⇑⪆40234=⇑⪆101234","layer":3},{"info":"NaN≃⇑⪆101234=NaN","layer":2},{"info":"⇑⪆23224⇐≅=⇑⪆130120","layer":3},{"info":"⇑⪆120031⪨≂⇑⪆21104=⇑⪆143301","layer":3},{"info":"⇑⪆130120+⇑⪆143301=⇑⪆323421","layer":2},{"info":"NaN⨚⇑⪆323421=NaN","layer":1},{"info":"NaN⪎↠NaN=NaN","layer":0}]}
{"id":457,"expression_no_base_symbol":"(($2717$⫳≱↱$4482$)⨥⫆(⇐$1062$)⫌⩹⨱)⪟⇏(($2857$⊾⪯⋞$2116$)⪭($3211$∐⫣)+⇶⊼($1134$⫁⪎$3657$≓∲($2235$⨹)))","expression":"((⇑⪆41332⫳≱↱⇑⪆120412)⨥⫆(⇐⇑⪆13222)⫌⩹⨱)⪟⇏((⇑⪆42412⊾⪯⋞⇑⪆31431)⪭(⇑⪆100321∐⫣)+⇶⊼(⇑⪆14014⫁⪎⇑⪆104112≓∲(⇑⪆32420⨹)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8407,"operation_count":12,"complexity_ratio":700.5833333333334,"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":2717,"base":5},"right_expr":{"type":"numeric_atoms","value":4482,"base":5}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1062,"base":5}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2857,"base":5},"right_expr":{"type":"numeric_atoms","value":2116,"base":5}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":3211,"base":5}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1134,"base":5},"right_expr":{"type":"numeric_atoms","value":3657,"base":5}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":2235,"base":5}}}}},"used_operators":["GODebY97qR","EBcxylXtPf","yXekIHxTD4","ZvLB05nZmT","nmZMaaE0Q9","TpPTUOHfaN","j9kHMeSvPp","HK0tfVPux8","4CyGpkTkEk","s1XTVnmDOJ","xRrnTEsQ6j","UnCoSGIALn"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","AHs5Up7iyr","COABgblf1C","xUOZtlo3hN","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","mp7IySMOzn"],"result":"⇑⪆-1","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2717","layer":4},{"info":"number node, value=4482","layer":4},{"info":"compute binary expreesion, left_input=2717, right_input=4482, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1062","layer":4},{"info":"compute unary expreesion, input=1062, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=738","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=738, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1401","layer":1},{"info":"number node, value=2857","layer":4},{"info":"number node, value=2116","layer":4},{"info":"compute binary expreesion, left_input=2857, right_input=2116, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3806","layer":3},{"info":"number node, value=3211","layer":4},{"info":"compute unary expreesion, input=3211, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute binary expreesion, left_input=3806, right_input=551, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"number node, value=1134","layer":4},{"info":"number node, value=3657","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=3657, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2523","layer":3},{"info":"number node, value=2235","layer":4},{"info":"compute unary expreesion, input=2235, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=4470","layer":3},{"info":"compute binary expreesion, left_input=-2523, right_input=4470, 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 = 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=1401, 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":5,"result_base":5,"text":"((⇑⪆41332⫳≱↱⇑⪆120412)⨥⫆(⇐⇑⪆13222)⫌⩹⨱)⪟⇏((⇑⪆42412⊾⪯⋞⇑⪆31431)⪭(⇑⪆100321∐⫣)+⇶⊼(⇑⪆14014⫁⪎⇑⪆104112≓∲(⇑⪆32420⨹)))=⇑⪆-1","reverse_text":"⇑⪆-1=((⇑⪆41332⫳≱↱⇑⪆120412)⨥⫆(⇐⇑⪆13222)⫌⩹⨱)⪟⇏((⇑⪆42412⊾⪯⋞⇑⪆31431)⪭(⇑⪆100321∐⫣)+⇶⊼(⇑⪆14014⫁⪎⇑⪆104112≓∲(⇑⪆32420⨹)))","cot":[{"info":"⇑⪆41332⫳≱↱⇑⪆120412=⇑⪆-1304","layer":3},{"info":"⇐⇑⪆13222=⇑⪆10423","layer":3},{"info":"⇑⪆-1304⨥⫆⇑⪆10423=⇑⪆0","layer":2},{"info":"⇑⪆0⫌⩹⨱=⇑⪆21101","layer":1},{"info":"⇑⪆42412⊾⪯⋞⇑⪆31431=⇑⪆110211","layer":3},{"info":"⇑⪆100321∐⫣=⇑⪆4201","layer":3},{"info":"⇑⪆110211⪭⇑⪆4201=⇑⪆10","layer":2},{"info":"⇑⪆14014⫁⪎⇑⪆104112=⇑⪆-40043","layer":3},{"info":"⇑⪆32420⨹=⇑⪆120340","layer":3},{"info":"⇑⪆-40043≓∲⇑⪆120340=⇑⪆232","layer":2},{"info":"⇑⪆10+⇶⊼⇑⪆232=NaN","layer":1},{"info":"⇑⪆21101⪟⇏NaN=⇑⪆-1","layer":0}]}
{"id":458,"expression_no_base_symbol":"$2043$↹⊜$1118$⩁⩘($1229$⩎⪣⊞)⇴(⋂$5612$)⫞⩸⩒($1144$⊿∆)⋻⩜⩜((⨆≐≲$1835$)∙⊟(⇖⫷⫕$1617$))⩚⊴⇥($3689$⩒⫫$4207$)≌($3922$∷$4951$)","expression":"⇑⪆31133↹⊜⇑⪆13433⩁⩘(⇑⪆14404⩎⪣⊞)⇴(⋂⇑⪆134422)⫞⩸⩒(⇑⪆14034⊿∆)⋻⩜⩜((⨆≐≲⇑⪆24320)∙⊟(⇖⫷⫕⇑⪆22432))⩚⊴⇥(⇑⪆104224⩒⫫⇑⪆113312)≌(⇑⪆111142∷⇑⪆124301)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":23335,"operation_count":15,"complexity_ratio":1555.6666666666667,"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":2043,"base":5},"right_expr":{"type":"numeric_atoms","value":1118,"base":5}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":1229,"base":5}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":5612,"base":5}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":1144,"base":5}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":1835,"base":5}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1617,"base":5}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3689,"base":5},"right_expr":{"type":"numeric_atoms","value":4207,"base":5}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3922,"base":5},"right_expr":{"type":"numeric_atoms","value":4951,"base":5}}}}},"used_operators":["oDCm7WA9JY","4JB6nKBMSY","gub5Cegaqo","9bazX3JMtO","waWucp1uQ4","XGcMNugi78","BUOGQAYlQx","fv3ZujxkQL","NTOWxs364D","SxTAKzQCrw","Bi9z9uYZqW","UHmRx3INFg","lyWz822IDG","KFSx94NKJn","D3AQDKkPcf"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","sdazOOVcIp","NTOWxs364D","COABgblf1C","DpFCA1CohY","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","mp7IySMOzn","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2043","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=2043, right_input=1118, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-482","layer":3},{"info":"number node, value=1229","layer":4},{"info":"compute unary expreesion, input=1229, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=2458","layer":3},{"info":"compute binary expreesion, left_input=-482, right_input=2458, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=10780","layer":2},{"info":"number node, value=5612","layer":4},{"info":"compute unary expreesion, input=5612, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-77972","layer":3},{"info":"number node, value=1144","layer":4},{"info":"compute unary expreesion, input=1144, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-2409","layer":3},{"info":"compute binary expreesion, left_input=-77972, right_input=-2409, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-77972","layer":2},{"info":"compute binary expreesion, left_input=10780, right_input=-77972, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-91650","layer":1},{"info":"number node, value=1835","layer":4},{"info":"compute unary expreesion, input=1835, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=19748760","layer":3},{"info":"number node, value=1617","layer":4},{"info":"compute unary expreesion, input=1617, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=19748760, right_input=2822, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=256743726","layer":2},{"info":"number node, value=3689","layer":4},{"info":"number node, value=4207","layer":4},{"info":"compute binary expreesion, left_input=3689, right_input=4207, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3387","layer":3},{"info":"number node, value=3922","layer":4},{"info":"number node, value=4951","layer":4},{"info":"compute binary expreesion, left_input=3922, right_input=4951, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4951","layer":3},{"info":"compute binary expreesion, left_input=3387, right_input=4951, 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=256743726, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-91650, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⇑⪆31133↹⊜⇑⪆13433⩁⩘(⇑⪆14404⩎⪣⊞)⇴(⋂⇑⪆134422)⫞⩸⩒(⇑⪆14034⊿∆)⋻⩜⩜((⨆≐≲⇑⪆24320)∙⊟(⇖⫷⫕⇑⪆22432))⩚⊴⇥(⇑⪆104224⩒⫫⇑⪆113312)≌(⇑⪆111142∷⇑⪆124301)=NaN","reverse_text":"NaN=⇑⪆31133↹⊜⇑⪆13433⩁⩘(⇑⪆14404⩎⪣⊞)⇴(⋂⇑⪆134422)⫞⩸⩒(⇑⪆14034⊿∆)⋻⩜⩜((⨆≐≲⇑⪆24320)∙⊟(⇖⫷⫕⇑⪆22432))⩚⊴⇥(⇑⪆104224⩒⫫⇑⪆113312)≌(⇑⪆111142∷⇑⪆124301)","cot":[{"info":"⇑⪆31133↹⊜⇑⪆13433=⇑⪆-3412","layer":3},{"info":"⇑⪆14404⩎⪣⊞=⇑⪆34313","layer":3},{"info":"⇑⪆-3412⩁⩘⇑⪆34313=⇑⪆321110","layer":2},{"info":"⋂⇑⪆134422=⇑⪆-4443342","layer":3},{"info":"⇑⪆14034⊿∆=⇑⪆-34114","layer":3},{"info":"⇑⪆-4443342⫞⩸⩒⇑⪆-34114=⇑⪆-4443342","layer":2},{"info":"⇑⪆321110⇴⇑⪆-4443342=⇑⪆-10413100","layer":1},{"info":"⨆≐≲⇑⪆24320=⇑⪆20023430020","layer":3},{"info":"⇖⫷⫕⇑⪆22432=⇑⪆42242","layer":3},{"info":"⇑⪆20023430020∙⊟⇑⪆42242=⇑⪆1011211244401","layer":2},{"info":"⇑⪆104224⩒⫫⇑⪆113312=⇑⪆102022","layer":3},{"info":"⇑⪆111142∷⇑⪆124301=⇑⪆124301","layer":3},{"info":"⇑⪆102022≌⇑⪆124301=NaN","layer":2},{"info":"⇑⪆1011211244401⩚⊴⇥NaN=NaN","layer":1},{"info":"⇑⪆-10413100⋻⩜⩜NaN=NaN","layer":0}]}
{"id":459,"expression_no_base_symbol":"(($6883$↠)⨒(↞≼$2018$))≌($2605$⨰$4980$⫥∨⫟($4185$⨑≵⋬$4903$))→⨶⪴((($6332$⨹)⊨($6236$⨐⩸⫘$4148$))⇯⋐)","expression":"((⇑⪆210013↠)⨒(↞≼⇑⪆31033))≌(⇑⪆40410⨰⇑⪆124410⫥∨⫟(⇑⪆113220⨑≵⋬⇑⪆124103))→⨶⪴(((⇑⪆200312⨹)⊨(⇑⪆144421⨐⩸⫘⇑⪆113043))⇯⋐)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3566,"operation_count":12,"complexity_ratio":297.1666666666667,"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":6883,"base":5}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":2018,"base":5}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2605,"base":5},"right_expr":{"type":"numeric_atoms","value":4980,"base":5}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4185,"base":5},"right_expr":{"type":"numeric_atoms","value":4903,"base":5}}}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":6332,"base":5}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6236,"base":5},"right_expr":{"type":"numeric_atoms","value":4148,"base":5}}}}},"used_operators":["bF6eod5Gvf","lyWz822IDG","y75s1iXyHd","LBdsKIvxzf","DE7zCoGJt9","KYD54nUTWz","eewbuw0ToL","XnXgA4xnOs","LkLIoiE525","vg4gO5BX6G","UnCoSGIALn","fu6greOZ01"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","mp7IySMOzn","3ViojmjbAp"],"result":"⇑⪆-104432232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6883","layer":4},{"info":"compute unary expreesion, input=6883, 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=2018","layer":4},{"info":"compute unary expreesion, input=2018, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=15730","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=15730, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"number node, value=2605","layer":4},{"info":"number node, value=4980","layer":4},{"info":"compute binary expreesion, left_input=2605, right_input=4980, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2365","layer":3},{"info":"number node, value=4185","layer":4},{"info":"number node, value=4903","layer":4},{"info":"compute binary expreesion, left_input=4185, right_input=4903, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-12017","layer":3},{"info":"compute binary expreesion, left_input=-2365, right_input=-12017, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"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":1},{"info":"number node, value=6332","layer":4},{"info":"compute unary expreesion, input=6332, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=12664","layer":3},{"info":"number node, value=6236","layer":4},{"info":"number node, value=4148","layer":4},{"info":"compute binary expreesion, left_input=6236, right_input=4148, 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=12664, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=51687","layer":2},{"info":"compute unary expreesion, input=51687, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=155939","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=155939, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-467817","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆210013↠)⨒(↞≼⇑⪆31033))≌(⇑⪆40410⨰⇑⪆124410⫥∨⫟(⇑⪆113220⨑≵⋬⇑⪆124103))→⨶⪴(((⇑⪆200312⨹)⊨(⇑⪆144421⨐⩸⫘⇑⪆113043))⇯⋐)=⇑⪆-104432232","reverse_text":"⇑⪆-104432232=((⇑⪆210013↠)⨒(↞≼⇑⪆31033))≌(⇑⪆40410⨰⇑⪆124410⫥∨⫟(⇑⪆113220⨑≵⋬⇑⪆124103))→⨶⪴(((⇑⪆200312⨹)⊨(⇑⪆144421⨐⩸⫘⇑⪆113043))⇯⋐)","cot":[{"info":"⇑⪆210013↠=⇑⪆-3242","layer":3},{"info":"↞≼⇑⪆31033=⇑⪆1000410","layer":3},{"info":"⇑⪆-3242⨒⇑⪆1000410=⇑⪆0","layer":2},{"info":"⇑⪆40410⨰⇑⪆124410=⇑⪆-33430","layer":3},{"info":"⇑⪆113220⨑≵⋬⇑⪆124103=⇑⪆-341032","layer":3},{"info":"⇑⪆-33430⫥∨⫟⇑⪆-341032=NaN","layer":2},{"info":"⇑⪆0≌NaN=NaN","layer":1},{"info":"⇑⪆200312⨹=⇑⪆401124","layer":3},{"info":"⇑⪆144421⨐⩸⫘⇑⪆113043=NaN","layer":3},{"info":"⇑⪆401124⊨NaN=⇑⪆3123222","layer":2},{"info":"⇑⪆3123222⇯⋐=⇑⪆14442224","layer":1},{"info":"NaN→⨶⪴⇑⪆14442224=⇑⪆-104432232","layer":0}]}
{"id":460,"expression_no_base_symbol":"((≋$3806$)∌↝$1343$⩌⋺$1080$)⩣⫁∢($2957$⊱⇼⊻$8937$)⊮⊟↴(↽≂$2911$)⫰⋱(($4362$⋅⇍$2271$)⩦($2036$⫯⪬∳$3913$)∷)","expression":"((≋⇑⪆110211)∌↝⇑⪆20333⩌⋺⇑⪆13310)⩣⫁∢(⇑⪆43312⊱⇼⊻⇑⪆241222)⊮⊟↴(↽≂⇑⪆43121)⫰⋱((⇑⪆114422⋅⇍⇑⪆33041)⩦(⇑⪆31121⫯⪬∳⇑⪆111123)∷)","highest_n_order":2,"priority_hierarchical_complexity":9,"normalized_expansion_degree":142,"operation_count":12,"complexity_ratio":11.833333333333334,"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":3806,"base":5}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1343,"base":5},"right_expr":{"type":"numeric_atoms","value":1080,"base":5}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2957,"base":5},"right_expr":{"type":"numeric_atoms","value":8937,"base":5}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2911,"base":5}}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":4362,"base":5},"right_expr":{"type":"numeric_atoms","value":2271,"base":5}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2036,"base":5},"right_expr":{"type":"numeric_atoms","value":3913,"base":5}}}}},"used_operators":["6o9Blt3TJ6","JDUIKTTSIa","9Isq31Ruls","61wBmkZwlr","g7Hmc5v1ko","QDVgd2eftb","FyVja0WsTP","u6S6b8DprG","nFAOW8KTqp","0kmYd0q39Y","AdZkA7nFnk","d7ASUq0ydm"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","7j4O788W3g","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"⇑⪆440341","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3806","layer":4},{"info":"compute unary expreesion, input=3806, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=3806","layer":3},{"info":"number node, value=1343","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=1343, right_input=1080, 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=-2544","layer":3},{"info":"compute binary expreesion, left_input=3806, right_input=-2544, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=7612","layer":2},{"info":"number node, value=2957","layer":4},{"info":"number node, value=8937","layer":4},{"info":"compute binary expreesion, left_input=2957, right_input=8937, 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=2911","layer":4},{"info":"compute unary expreesion, input=2911, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5822","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=-5822, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=310381","layer":2},{"info":"compute binary expreesion, left_input=7612, right_input=310381, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-15063","layer":1},{"info":"number node, value=4362","layer":4},{"info":"number node, value=2271","layer":4},{"info":"compute binary expreesion, left_input=4362, right_input=2271, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=2036","layer":4},{"info":"number node, value=3913","layer":4},{"info":"compute binary expreesion, left_input=2036, right_input=3913, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=6300","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=6300, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-44","layer":2},{"info":"compute unary expreesion, input=-44, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=-132","layer":1},{"info":"compute binary expreesion, left_input=-15063, right_input=-132, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=15096","layer":0}],"base":5,"result_base":5,"text":"((≋⇑⪆110211)∌↝⇑⪆20333⩌⋺⇑⪆13310)⩣⫁∢(⇑⪆43312⊱⇼⊻⇑⪆241222)⊮⊟↴(↽≂⇑⪆43121)⫰⋱((⇑⪆114422⋅⇍⇑⪆33041)⩦(⇑⪆31121⫯⪬∳⇑⪆111123)∷)=⇑⪆440341","reverse_text":"⇑⪆440341=((≋⇑⪆110211)∌↝⇑⪆20333⩌⋺⇑⪆13310)⩣⫁∢(⇑⪆43312⊱⇼⊻⇑⪆241222)⊮⊟↴(↽≂⇑⪆43121)⫰⋱((⇑⪆114422⋅⇍⇑⪆33041)⩦(⇑⪆31121⫯⪬∳⇑⪆111123)∷)","cot":[{"info":"≋⇑⪆110211=⇑⪆110211","layer":3},{"info":"⇑⪆20333⩌⋺⇑⪆13310=⇑⪆-40134","layer":3},{"info":"⇑⪆110211∌↝⇑⪆-40134=⇑⪆220422","layer":2},{"info":"⇑⪆43312⊱⇼⊻⇑⪆241222=⇑⪆3214","layer":3},{"info":"↽≂⇑⪆43121=⇑⪆-141242","layer":3},{"info":"⇑⪆3214⊮⊟↴⇑⪆-141242=⇑⪆34413011","layer":2},{"info":"⇑⪆220422⩣⫁∢⇑⪆34413011=⇑⪆-440223","layer":1},{"info":"⇑⪆114422⋅⇍⇑⪆33041=⇑⪆-42","layer":3},{"info":"⇑⪆31121⫯⪬∳⇑⪆111123=⇑⪆200200","layer":3},{"info":"⇑⪆-42⩦⇑⪆200200=⇑⪆-134","layer":2},{"info":"⇑⪆-134∷=⇑⪆-1012","layer":1},{"info":"⇑⪆-440223⫰⋱⇑⪆-1012=⇑⪆440341","layer":0}]}
{"id":461,"expression_no_base_symbol":"≦∁($5641$⪛$2011$∑⇟⊟(↓⇌$1156$))⋹⋡⊁((↣≠⋷$1108$)⪔($1919$≧⫂∧$3573$))","expression":"≦∁(⇑⪆140031⪛⇑⪆31021∑⇟⊟(↓⇌⇑⪆14111))⋹⋡⊁((↣≠⋷⇑⪆13413)⪔(⇑⪆30134≧⫂∧⇑⪆103243))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3198,"operation_count":8,"complexity_ratio":399.75,"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":5641,"base":5},"right_expr":{"type":"numeric_atoms","value":2011,"base":5}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1156,"base":5}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1108,"base":5}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1919,"base":5},"right_expr":{"type":"numeric_atoms","value":3573,"base":5}}}}},"used_operators":["9ICcGScMcE","As8RqfVLgs","U7g4x0WXJJ","uFcxV4UQCh","PxpmPgHHJV","GjBEYRfMaF","Asc51vEJeQ","Ph9nP6C5qx"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=5641","layer":4},{"info":"number node, value=2011","layer":4},{"info":"compute binary expreesion, left_input=5641, right_input=2011, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1619","layer":3},{"info":"number node, value=1156","layer":4},{"info":"compute unary expreesion, input=1156, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1156","layer":3},{"info":"compute binary expreesion, left_input=1619, right_input=1156, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1108","layer":4},{"info":"compute unary expreesion, input=1108, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1919","layer":4},{"info":"number node, value=3573","layer":4},{"info":"compute binary expreesion, left_input=1919, right_input=3573, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3100","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3100, 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=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":"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":5,"result_base":5,"text":"≦∁(⇑⪆140031⪛⇑⪆31021∑⇟⊟(↓⇌⇑⪆14111))⋹⋡⊁((↣≠⋷⇑⪆13413)⪔(⇑⪆30134≧⫂∧⇑⪆103243))=NaN","reverse_text":"NaN=≦∁(⇑⪆140031⪛⇑⪆31021∑⇟⊟(↓⇌⇑⪆14111))⋹⋡⊁((↣≠⋷⇑⪆13413)⪔(⇑⪆30134≧⫂∧⇑⪆103243))","cot":[{"info":"⇑⪆140031⪛⇑⪆31021=⇑⪆22434","layer":3},{"info":"↓⇌⇑⪆14111=⇑⪆14111","layer":3},{"info":"⇑⪆22434∑⇟⊟⇑⪆14111=NaN","layer":2},{"info":"↣≠⋷⇑⪆13413=NaN","layer":3},{"info":"⇑⪆30134≧⫂∧⇑⪆103243=⇑⪆44400","layer":3},{"info":"NaN⪔⇑⪆44400=NaN","layer":2},{"info":"NaN⋹⋡⊁NaN=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":462,"expression_no_base_symbol":"(((∓⪦$1737$)⨔≚≋$1218$⋣⋖$1302$)⋛($1181$⪇≇⋚$8189$⩭))⩣⫁∢(⩷($2841$⨵⪆$2760$)⪬($1699$↳≱$2881$))","expression":"(((∓⪦⇑⪆23422)⨔≚≋⇑⪆14333⋣⋖⇑⪆20202)⋛(⇑⪆14211⪇≇⋚⇑⪆230224⩭))⩣⫁∢(⩷(⇑⪆42331⨵⪆⇑⪆42020)⪬(⇑⪆23244↳≱⇑⪆43011))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":34181,"operation_count":11,"complexity_ratio":3107.3636363636365,"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":1737,"base":5}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1218,"base":5},"right_expr":{"type":"numeric_atoms","value":1302,"base":5}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1181,"base":5},"right_expr":{"type":"numeric_atoms","value":8189,"base":5}}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2841,"base":5},"right_expr":{"type":"numeric_atoms","value":2760,"base":5}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1699,"base":5},"right_expr":{"type":"numeric_atoms","value":2881,"base":5}}}}},"used_operators":["JDUIKTTSIa","YbUVn0Rbpy","Z57zeUYC9z","D309nIvmXG","J0M6qkBnIM","yIPP7u6H5x","3sJ7IOPOlU","1h0rLqGiFr","Ez1Nq5fNfI","2DQ55sFlQl","JwTKLfZU96"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"⇑⪆21031231","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1737","layer":4},{"info":"compute unary expreesion, input=1737, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=1329","layer":3},{"info":"number node, value=1218","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=1302, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1218","layer":3},{"info":"compute binary expreesion, left_input=1329, right_input=1218, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"number node, value=1181","layer":4},{"info":"number node, value=8189","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=8189, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=9872, 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=-43344","layer":1},{"info":"number node, value=2841","layer":4},{"info":"number node, value=2760","layer":4},{"info":"compute binary expreesion, left_input=2841, right_input=2760, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1699","layer":4},{"info":"number node, value=2881","layer":4},{"info":"compute binary expreesion, left_input=1699, right_input=2881, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-14887","layer":1},{"info":"compute binary expreesion, left_input=-43344, right_input=-14887, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=173941","layer":0}],"base":5,"result_base":5,"text":"(((∓⪦⇑⪆23422)⨔≚≋⇑⪆14333⋣⋖⇑⪆20202)⋛(⇑⪆14211⪇≇⋚⇑⪆230224⩭))⩣⫁∢(⩷(⇑⪆42331⨵⪆⇑⪆42020)⪬(⇑⪆23244↳≱⇑⪆43011))=⇑⪆21031231","reverse_text":"⇑⪆21031231=(((∓⪦⇑⪆23422)⨔≚≋⇑⪆14333⋣⋖⇑⪆20202)⋛(⇑⪆14211⪇≇⋚⇑⪆230224⩭))⩣⫁∢(⩷(⇑⪆42331⨵⪆⇑⪆42020)⪬(⇑⪆23244↳≱⇑⪆43011))","cot":[{"info":"∓⪦⇑⪆23422=⇑⪆20304","layer":3},{"info":"⇑⪆14333⋣⋖⇑⪆20202=⇑⪆14333","layer":3},{"info":"⇑⪆20304⨔≚≋⇑⪆14333=⇑⪆303442","layer":2},{"info":"⇑⪆14211⪇≇⋚⇑⪆230224=⇑⪆0","layer":3},{"info":"⇑⪆0⩭=⇑⪆3300","layer":2},{"info":"⇑⪆303442⋛⇑⪆3300=⇑⪆-2341334","layer":1},{"info":"⇑⪆42331⨵⪆⇑⪆42020=⇑⪆1120","layer":3},{"info":"⇑⪆23244↳≱⇑⪆43011=⇑⪆0","layer":3},{"info":"⇑⪆1120⪬⇑⪆0=⇑⪆14414","layer":2},{"info":"⩷⇑⪆14414=⇑⪆-434022","layer":1},{"info":"⇑⪆-2341334⩣⫁∢⇑⪆-434022=⇑⪆21031231","layer":0}]}
{"id":463,"expression_no_base_symbol":"(⇤←$1458$⫉⨲⊜$1310$)⫔⩽⩺($1688$*$1448$)∊∟⩊($3658$∲⫓$1743$)⫔⩽⩺(⨭⩧⫛($6917$≹⇙⪍$4080$))⊲⩕⊾($5271$⫸⇳$5838$∐⫣)","expression":"(⇤←⇑⪆21313⫉⨲⊜⇑⪆20220)⫔⩽⩺(⇑⪆23223*⇑⪆21243)∊∟⩊(⇑⪆104113∲⫓⇑⪆23433)⫔⩽⩺(⨭⩧⫛(⇑⪆210132≹⇙⪍⇑⪆112310))⊲⩕⊾(⇑⪆132041⫸⇳⇑⪆141323∐⫣)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":53312,"operation_count":12,"complexity_ratio":4442.666666666667,"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":1458,"base":5},"right_expr":{"type":"numeric_atoms","value":1310,"base":5}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1688,"base":5},"right_expr":{"type":"numeric_atoms","value":1448,"base":5}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3658,"base":5},"right_expr":{"type":"numeric_atoms","value":1743,"base":5}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6917,"base":5},"right_expr":{"type":"numeric_atoms","value":4080,"base":5}}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":5271,"base":5},"right_expr":{"type":"numeric_atoms","value":5838,"base":5}}}}},"used_operators":["i9eR4S00cU","jfAgQ2OQeM","WhqkvtTD3t","ddLRYrp01A","9HNa5Wba9A","i8ToyICDmI","DmTXOeWf9t","g21JL6JxX7","AHs5Up7iyr","4CyGpkTkEk","gx7XJ7hdpj"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","eewbuw0ToL","zVYPLywUTj","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","dWAJyo7jo9","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1458","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=1310, 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 = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=1366","layer":2},{"info":"number node, value=1688","layer":4},{"info":"number node, value=1448","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=1448, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2444224","layer":3},{"info":"number node, value=3658","layer":4},{"info":"number node, value=1743","layer":4},{"info":"compute binary expreesion, left_input=3658, right_input=1743, 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=2444224, 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":"compute binary expreesion, left_input=1366, right_input=49, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=6917","layer":4},{"info":"number node, value=4080","layer":4},{"info":"compute binary expreesion, left_input=6917, right_input=4080, 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 = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"number node, value=5271","layer":4},{"info":"number node, value=5838","layer":4},{"info":"compute binary expreesion, left_input=5271, right_input=5838, 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 = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=551, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇤←⇑⪆21313⫉⨲⊜⇑⪆20220)⫔⩽⩺(⇑⪆23223*⇑⪆21243)∊∟⩊(⇑⪆104113∲⫓⇑⪆23433)⫔⩽⩺(⨭⩧⫛(⇑⪆210132≹⇙⪍⇑⪆112310))⊲⩕⊾(⇑⪆132041⫸⇳⇑⪆141323∐⫣)=NaN","reverse_text":"NaN=(⇤←⇑⪆21313⫉⨲⊜⇑⪆20220)⫔⩽⩺(⇑⪆23223*⇑⪆21243)∊∟⩊(⇑⪆104113∲⫓⇑⪆23433)⫔⩽⩺(⨭⩧⫛(⇑⪆210132≹⇙⪍⇑⪆112310))⊲⩕⊾(⇑⪆132041⫸⇳⇑⪆141323∐⫣)","cot":[{"info":"⇑⪆21313⫉⨲⊜⇑⪆20220=⇑⪆0","layer":3},{"info":"⇤←⇑⪆0=⇑⪆20431","layer":2},{"info":"⇑⪆23223*⇑⪆21243=⇑⪆1111203344","layer":3},{"info":"⇑⪆104113∲⫓⇑⪆23433=⇑⪆0","layer":3},{"info":"⇑⪆1111203344∊∟⩊⇑⪆0=⇑⪆144","layer":2},{"info":"⇑⪆20431⫔⩽⩺⇑⪆144=NaN","layer":1},{"info":"⇑⪆210132≹⇙⪍⇑⪆112310=NaN","layer":3},{"info":"⨭⩧⫛NaN=NaN","layer":2},{"info":"⇑⪆132041⫸⇳⇑⪆141323=⇑⪆0","layer":3},{"info":"⇑⪆0∐⫣=⇑⪆4201","layer":2},{"info":"NaN⊲⩕⊾⇑⪆4201=NaN","layer":1},{"info":"NaN⫔⩽⩺NaN=NaN","layer":0}]}
{"id":464,"expression_no_base_symbol":"$4665$⩒⫫$1755$⩧⪆(⇋↷$2691$)∝($1508$↼⊘⨖$2523$)∳⫺($1045$⫃⨇$1194$)⫡⨏(∂⩏⊆($1028$⋭≵$1120$)≀⩗∶$1987$∘$1295$)","expression":"⇑⪆122130⩒⫫⇑⪆24010⩧⪆(⇋↷⇑⪆41231)∝(⇑⪆22013↼⊘⨖⇑⪆40043)∳⫺(⇑⪆13140⫃⨇⇑⪆14234)⫡⨏(∂⩏⊆(⇑⪆13103⋭≵⇑⪆13440)≀⩗∶⇑⪆30422∘⇑⪆20140)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":168,"operation_count":12,"complexity_ratio":14.0,"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":4665,"base":5},"right_expr":{"type":"numeric_atoms","value":1755,"base":5}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":2691,"base":5}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1508,"base":5},"right_expr":{"type":"numeric_atoms","value":2523,"base":5}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1045,"base":5},"right_expr":{"type":"numeric_atoms","value":1194,"base":5}}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1028,"base":5},"right_expr":{"type":"numeric_atoms","value":1120,"base":5}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1987,"base":5},"right_expr":{"type":"numeric_atoms","value":1295,"base":5}}}}},"used_operators":["QMFrweE19q","cTDWOvIxvz","Ikt5ks8PT7","KFSx94NKJn","SWo3A1KBJH","AzXXKTstlj","bPywburJMS","09Ly4LVMIf","8WDwsbhb0R","8INZBEW696","jBncVCNhdl","Z5m6OM72h2"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","eewbuw0ToL","t8gj7n24qd","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","14qkJME0vr","eLAdDNolq6","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","eH2TOUuTDT","rysDP5nf3Z"],"result":"⇑⪆-11341424","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4665","layer":4},{"info":"number node, value=1755","layer":4},{"info":"compute binary expreesion, left_input=4665, right_input=1755, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4363","layer":3},{"info":"number node, value=2691","layer":4},{"info":"compute unary expreesion, input=2691, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=21528","layer":3},{"info":"compute binary expreesion, left_input=4363, right_input=21528, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-21528","layer":2},{"info":"number node, value=1508","layer":4},{"info":"number node, value=2523","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=2523, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4824","layer":3},{"info":"number node, value=1045","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=1194, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4808","layer":3},{"info":"compute binary expreesion, left_input=4824, right_input=-4808, 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=-21528, right_input=-260, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-21523","layer":1},{"info":"number node, value=1028","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=1120, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=5133","layer":3},{"info":"number node, value=1987","layer":4},{"info":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=1987, right_input=1295, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3974","layer":3},{"info":"compute binary expreesion, left_input=5133, right_input=3974, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=484","layer":1},{"info":"compute binary expreesion, left_input=-21523, 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=-105864","layer":0}],"base":5,"result_base":5,"text":"⇑⪆122130⩒⫫⇑⪆24010⩧⪆(⇋↷⇑⪆41231)∝(⇑⪆22013↼⊘⨖⇑⪆40043)∳⫺(⇑⪆13140⫃⨇⇑⪆14234)⫡⨏(∂⩏⊆(⇑⪆13103⋭≵⇑⪆13440)≀⩗∶⇑⪆30422∘⇑⪆20140)=⇑⪆-11341424","reverse_text":"⇑⪆-11341424=⇑⪆122130⩒⫫⇑⪆24010⩧⪆(⇋↷⇑⪆41231)∝(⇑⪆22013↼⊘⨖⇑⪆40043)∳⫺(⇑⪆13140⫃⨇⇑⪆14234)⫡⨏(∂⩏⊆(⇑⪆13103⋭≵⇑⪆13440)≀⩗∶⇑⪆30422∘⇑⪆20140)","cot":[{"info":"⇑⪆122130⩒⫫⇑⪆24010=⇑⪆114423","layer":3},{"info":"⇋↷⇑⪆41231=⇑⪆1142103","layer":3},{"info":"⇑⪆114423⩧⪆⇑⪆1142103=⇑⪆-1142103","layer":2},{"info":"⇑⪆22013↼⊘⨖⇑⪆40043=⇑⪆123244","layer":3},{"info":"⇑⪆13140⫃⨇⇑⪆14234=⇑⪆-123213","layer":3},{"info":"⇑⪆123244∳⫺⇑⪆-123213=⇑⪆-2020","layer":2},{"info":"⇑⪆-1142103∝⇑⪆-2020=⇑⪆-1142043","layer":1},{"info":"⇑⪆13103⋭≵⇑⪆13440=⇑⪆131013","layer":3},{"info":"⇑⪆30422∘⇑⪆20140=⇑⪆111344","layer":3},{"info":"⇑⪆131013≀⩗∶⇑⪆111344=⇑⪆0","layer":2},{"info":"∂⩏⊆⇑⪆0=⇑⪆3414","layer":1},{"info":"⇑⪆-1142043⫡⨏⇑⪆3414=⇑⪆-11341424","layer":0}]}
{"id":465,"expression_no_base_symbol":"(⨙⪌($2751$⩖⊿$2613$))≴⪞⇿($1316$≃$5194$⩺⪪($2637$⊦⊿))+⇶⊼(($8048$⨳⩥⨓$1947$)⨽$1551$⩼⇪↪$3063$)⊴($8674$⇣⩺⋵$2279$⨔≚≋($1730$⨐⩸⫘$4504$))","expression":"(⨙⪌(⇑⪆42001⩖⊿⇑⪆40423))≴⪞⇿(⇑⪆20231≃⇑⪆131234⩺⪪(⇑⪆41022⊦⊿))+⇶⊼((⇑⪆224143⨳⩥⨓⇑⪆30242)⨽⇑⪆22201⩼⇪↪⇑⪆44223)⊴(⇑⪆234144⇣⩺⋵⇑⪆33104⨔≚≋(⇑⪆23410⨐⩸⫘⇑⪆121004))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7945,"operation_count":14,"complexity_ratio":567.5,"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":2751,"base":5},"right_expr":{"type":"numeric_atoms","value":2613,"base":5}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1316,"base":5},"right_expr":{"type":"numeric_atoms","value":5194,"base":5}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2637,"base":5}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":8048,"base":5},"right_expr":{"type":"numeric_atoms","value":1947,"base":5}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1551,"base":5},"right_expr":{"type":"numeric_atoms","value":3063,"base":5}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":8674,"base":5},"right_expr":{"type":"numeric_atoms","value":2279,"base":5}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1730,"base":5},"right_expr":{"type":"numeric_atoms","value":4504,"base":5}}}}},"used_operators":["TpPTUOHfaN","lvlrscuwVU","vEGLkm4Z2k","RZ5CV9rWsJ","uvdQJvN4PV","YbVcJGFEVW","14qkJME0vr","Nsiff2A1zJ","8HhzD0ZcuI","nCS4ZIUYfx","ocnLzx9CaJ","Z57zeUYC9z","F4yD0voBRQ","fu6greOZ01"],"dependent_operators":["AHs5Up7iyr","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2751","layer":4},{"info":"number node, value=2613","layer":4},{"info":"compute binary expreesion, left_input=2751, right_input=2613, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=9818","layer":3},{"info":"compute unary expreesion, input=9818, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"number node, value=1316","layer":4},{"info":"number node, value=5194","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=5194, 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=-5304","layer":3},{"info":"number node, value=2637","layer":4},{"info":"compute unary expreesion, input=2637, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-7990","layer":3},{"info":"compute binary expreesion, left_input=-5304, right_input=-7990, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-43874","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=-43874, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=182093","layer":1},{"info":"number node, value=8048","layer":4},{"info":"number node, value=1947","layer":4},{"info":"compute binary expreesion, left_input=8048, right_input=1947, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-6101","layer":3},{"info":"number node, value=1551","layer":4},{"info":"number node, value=3063","layer":4},{"info":"compute binary expreesion, left_input=1551, right_input=3063, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-19122","layer":3},{"info":"compute binary expreesion, left_input=-6101, right_input=-19122, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-111607923","layer":2},{"info":"number node, value=8674","layer":4},{"info":"number node, value=2279","layer":4},{"info":"compute binary expreesion, left_input=8674, right_input=2279, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1730","layer":4},{"info":"number node, value=4504","layer":4},{"info":"compute binary expreesion, left_input=1730, right_input=4504, 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=-260, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-111607923, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=182093, 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":5,"result_base":5,"text":"(⨙⪌(⇑⪆42001⩖⊿⇑⪆40423))≴⪞⇿(⇑⪆20231≃⇑⪆131234⩺⪪(⇑⪆41022⊦⊿))+⇶⊼((⇑⪆224143⨳⩥⨓⇑⪆30242)⨽⇑⪆22201⩼⇪↪⇑⪆44223)⊴(⇑⪆234144⇣⩺⋵⇑⪆33104⨔≚≋(⇑⪆23410⨐⩸⫘⇑⪆121004))=NaN","reverse_text":"NaN=(⨙⪌(⇑⪆42001⩖⊿⇑⪆40423))≴⪞⇿(⇑⪆20231≃⇑⪆131234⩺⪪(⇑⪆41022⊦⊿))+⇶⊼((⇑⪆224143⨳⩥⨓⇑⪆30242)⨽⇑⪆22201⩼⇪↪⇑⪆44223)⊴(⇑⪆234144⇣⩺⋵⇑⪆33104⨔≚≋(⇑⪆23410⨐⩸⫘⇑⪆121004))","cot":[{"info":"⇑⪆42001⩖⊿⇑⪆40423=⇑⪆303233","layer":3},{"info":"⨙⪌⇑⪆303233=⇑⪆11433","layer":2},{"info":"⇑⪆20231≃⇑⪆131234=⇑⪆-132204","layer":3},{"info":"⇑⪆41022⊦⊿=⇑⪆-223430","layer":3},{"info":"⇑⪆-132204⩺⪪⇑⪆-223430=⇑⪆-2400444","layer":2},{"info":"⇑⪆11433≴⪞⇿⇑⪆-2400444=⇑⪆21311333","layer":1},{"info":"⇑⪆224143⨳⩥⨓⇑⪆30242=⇑⪆-143401","layer":3},{"info":"⇑⪆22201⩼⇪↪⇑⪆44223=⇑⪆-1102442","layer":3},{"info":"⇑⪆-143401⨽⇑⪆-1102442=⇑⪆-212032423143","layer":2},{"info":"⇑⪆234144⇣⩺⋵⇑⪆33104=⇑⪆-2020","layer":3},{"info":"⇑⪆23410⨐⩸⫘⇑⪆121004=NaN","layer":3},{"info":"⇑⪆-2020⨔≚≋NaN=NaN","layer":2},{"info":"⇑⪆-212032423143⊴NaN=NaN","layer":1},{"info":"⇑⪆21311333+⇶⊼NaN=NaN","layer":0}]}
{"id":466,"expression_no_base_symbol":"(⩷($3456$⊱⇼⊻$2440$⫢⨠($3157$⋭≵$1919$)))∪⫐((⪸(⫇$6405$))/($2545$⇐≅)⨜⨶($5679$∇⊂⋱$3407$))","expression":"(⩷(⇑⪆102311⊱⇼⊻⇑⪆34230⫢⨠(⇑⪆100112⋭≵⇑⪆30134)))∪⫐((⪸(⫇⇑⪆201110))/(⇑⪆40140⇐≅)⨜⨶(⇑⪆140204∇⊂⋱⇑⪆102112))","highest_n_order":2,"priority_hierarchical_complexity":9,"normalized_expansion_degree":251,"operation_count":11,"complexity_ratio":22.818181818181817,"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":3456,"base":5},"right_expr":{"type":"numeric_atoms","value":2440,"base":5}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3157,"base":5},"right_expr":{"type":"numeric_atoms","value":1919,"base":5}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":6405,"base":5}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":2545,"base":5}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":5679,"base":5},"right_expr":{"type":"numeric_atoms","value":3407,"base":5}}}}},"used_operators":["7YooWSwCyH","1h0rLqGiFr","xlXykHWxX1","FyVja0WsTP","jBncVCNhdl","XhwjNDsVaA","86A5ENbKR9","YjI8oCXuph","HiPekx5b7W","wEfv7U73WA","nhYeJWJD5X"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","rysDP5nf3Z","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"⇑⪆-30444","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3456","layer":4},{"info":"number node, value=2440","layer":4},{"info":"compute binary expreesion, left_input=3456, right_input=2440, 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=3157","layer":4},{"info":"number node, value=1919","layer":4},{"info":"compute binary expreesion, left_input=3157, right_input=1919, 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=434, right_input=67, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-1999","layer":1},{"info":"number node, value=6405","layer":4},{"info":"compute unary expreesion, input=6405, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-11596","layer":3},{"info":"compute unary expreesion, input=-11596, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=114062","layer":2},{"info":"number node, value=2545","layer":4},{"info":"compute unary expreesion, input=2545, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=7603","layer":3},{"info":"number node, value=5679","layer":4},{"info":"number node, value=3407","layer":4},{"info":"compute binary expreesion, left_input=5679, right_input=3407, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=10812","layer":3},{"info":"compute binary expreesion, left_input=7603, right_input=10812, 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=-21368","layer":2},{"info":"compute binary expreesion, left_input=114062, right_input=-21368, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-6","layer":1},{"info":"compute binary expreesion, left_input=-1999, right_input=-6, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-1999","layer":0}],"base":5,"result_base":5,"text":"(⩷(⇑⪆102311⊱⇼⊻⇑⪆34230⫢⨠(⇑⪆100112⋭≵⇑⪆30134)))∪⫐((⪸(⫇⇑⪆201110))/(⇑⪆40140⇐≅)⨜⨶(⇑⪆140204∇⊂⋱⇑⪆102112))=⇑⪆-30444","reverse_text":"⇑⪆-30444=(⩷(⇑⪆102311⊱⇼⊻⇑⪆34230⫢⨠(⇑⪆100112⋭≵⇑⪆30134)))∪⫐((⪸(⫇⇑⪆201110))/(⇑⪆40140⇐≅)⨜⨶(⇑⪆140204∇⊂⋱⇑⪆102112))","cot":[{"info":"⇑⪆102311⊱⇼⊻⇑⪆34230=⇑⪆3214","layer":3},{"info":"⇑⪆100112⋭≵⇑⪆30134=⇑⪆232","layer":3},{"info":"⇑⪆3214⫢⨠⇑⪆232=⇑⪆1120","layer":2},{"info":"⩷⇑⪆1120=⇑⪆-30444","layer":1},{"info":"⫇⇑⪆201110=⇑⪆-332341","layer":3},{"info":"⪸⇑⪆-332341=⇑⪆12122222","layer":2},{"info":"⇑⪆40140⇐≅=⇑⪆220403","layer":3},{"info":"⇑⪆140204∇⊂⋱⇑⪆102112=⇑⪆321222","layer":3},{"info":"⇑⪆220403⨜⨶⇑⪆321222=⇑⪆-1140433","layer":2},{"info":"⇑⪆12122222/⇑⪆-1140433=⇑⪆-11","layer":1},{"info":"⇑⪆-30444∪⫐⇑⪆-11=⇑⪆-30444","layer":0}]}
{"id":467,"expression_no_base_symbol":"⩷((≸≮($7136$⋻⩜⩜$8815$))⫳≱↱((∓⪦$1776$)⨵⪆$1837$⇂≾⫗$4073$))","expression":"⩷((≸≮(⇑⪆212021⋻⩜⩜⇑⪆240230))⫳≱↱((∓⪦⇑⪆24101)⨵⪆⇑⪆24322⇂≾⫗⇑⪆112243))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":133811,"operation_count":7,"complexity_ratio":19115.85714285714,"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":7136,"base":5},"right_expr":{"type":"numeric_atoms","value":8815,"base":5}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1776,"base":5}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1837,"base":5},"right_expr":{"type":"numeric_atoms","value":4073,"base":5}}}}},"used_operators":["1h0rLqGiFr","ZvLB05nZmT","AljMvE3RRm","oDCm7WA9JY","2DQ55sFlQl","D309nIvmXG","aBQ6xLxuTc"],"dependent_operators":["14qkJME0vr","g55IO6H4Gj","7j4O788W3g","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=7136","layer":4},{"info":"number node, value=8815","layer":4},{"info":"compute binary expreesion, left_input=7136, right_input=8815, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=14272","layer":3},{"info":"compute unary expreesion, input=14272, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"number node, value=1776","layer":4},{"info":"compute unary expreesion, input=1776, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=1368","layer":3},{"info":"number node, value=1837","layer":4},{"info":"number node, value=4073","layer":4},{"info":"compute binary expreesion, left_input=1837, right_input=4073, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=1368, right_input=-676, 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 = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⩷((≸≮(⇑⪆212021⋻⩜⩜⇑⪆240230))⫳≱↱((∓⪦⇑⪆24101)⨵⪆⇑⪆24322⇂≾⫗⇑⪆112243))=NaN","reverse_text":"NaN=⩷((≸≮(⇑⪆212021⋻⩜⩜⇑⪆240230))⫳≱↱((∓⪦⇑⪆24101)⨵⪆⇑⪆24322⇂≾⫗⇑⪆112243))","cot":[{"info":"⇑⪆212021⋻⩜⩜⇑⪆240230=⇑⪆424042","layer":3},{"info":"≸≮⇑⪆424042=NaN","layer":2},{"info":"∓⪦⇑⪆24101=⇑⪆20433","layer":3},{"info":"⇑⪆24322⇂≾⫗⇑⪆112243=⇑⪆-10201","layer":3},{"info":"⇑⪆20433⨵⪆⇑⪆-10201=⇑⪆1120","layer":2},{"info":"NaN⫳≱↱⇑⪆1120=NaN","layer":1},{"info":"⩷NaN=NaN","layer":0}]}
{"id":468,"expression_no_base_symbol":"⇵⪽(($1366$⨚⇆$1571$↙$1703$⇌⫙⪟$3236$)⇌⫙⪟(($4122$∙∹∝$2106$)⪛⫼$1842$↬$1352$))","expression":"⇵⪽((⇑⪆20431⨚⇆⇑⪆22241↙⇑⪆23303⇌⫙⪟⇑⪆100421)⇌⫙⪟((⇑⪆112442∙∹∝⇑⪆31411)⪛⫼⇑⪆24332↬⇑⪆20402))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9715,"operation_count":8,"complexity_ratio":1214.375,"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":1366,"base":5},"right_expr":{"type":"numeric_atoms","value":1571,"base":5}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1703,"base":5},"right_expr":{"type":"numeric_atoms","value":3236,"base":5}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":4122,"base":5},"right_expr":{"type":"numeric_atoms","value":2106,"base":5}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1842,"base":5},"right_expr":{"type":"numeric_atoms","value":1352,"base":5}}}}},"used_operators":["ZGCBLdVRRX","AFVx7xoS7T","yyfyN0ffXY","lwHaAYXP2r","hyuBjUqXlG","HmxsFra2vL","B5M0gjZbta"],"dependent_operators":["U7g4x0WXJJ","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","tmPS8pqC7x","DpFCA1CohY","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=1366","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=1571, 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=1703","layer":4},{"info":"number node, value=3236","layer":4},{"info":"compute binary expreesion, left_input=1703, right_input=3236, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=4122","layer":4},{"info":"number node, value=2106","layer":4},{"info":"compute binary expreesion, left_input=4122, right_input=2106, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1842","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=1842, right_input=1352, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 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 = 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 unary expreesion, input=nan, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⇵⪽((⇑⪆20431⨚⇆⇑⪆22241↙⇑⪆23303⇌⫙⪟⇑⪆100421)⇌⫙⪟((⇑⪆112442∙∹∝⇑⪆31411)⪛⫼⇑⪆24332↬⇑⪆20402))=NaN","reverse_text":"NaN=⇵⪽((⇑⪆20431⨚⇆⇑⪆22241↙⇑⪆23303⇌⫙⪟⇑⪆100421)⇌⫙⪟((⇑⪆112442∙∹∝⇑⪆31411)⪛⫼⇑⪆24332↬⇑⪆20402))","cot":[{"info":"⇑⪆20431⨚⇆⇑⪆22241=NaN","layer":3},{"info":"⇑⪆23303⇌⫙⪟⇑⪆100421=⇑⪆423","layer":3},{"info":"NaN↙⇑⪆423=NaN","layer":2},{"info":"⇑⪆112442∙∹∝⇑⪆31411=⇑⪆0","layer":3},{"info":"⇑⪆24332↬⇑⪆20402=NaN","layer":3},{"info":"⇑⪆0⪛⫼NaN=NaN","layer":2},{"info":"NaN⇌⫙⪟NaN=NaN","layer":1},{"info":"⇵⪽NaN=NaN","layer":0}]}
{"id":469,"expression_no_base_symbol":"($1172$⊬⨰$1678$⩷∴$3058$≀⫉$5130$)≁↽≥((⨝⨆$4308$)→⨶⪴$4701$⫁$2837$)⪭≯($1433$⫸⊐$1046$⫔⩽⩺$1724$⇷$4952$)⊱⇼⊻(↩$1541$)≎⪠(⇜$1039$)","expression":"(⇑⪆14142⊬⨰⇑⪆23203⩷∴⇑⪆44213≀⫉⇑⪆131010)≁↽≥((⨝⨆⇑⪆114213)→⨶⪴⇑⪆122301⫁⇑⪆42322)⪭≯(⇑⪆21213⫸⊐⇑⪆13141⫔⩽⩺⇑⪆23344⇷⇑⪆124302)⊱⇼⊻(↩⇑⪆22131)≎⪠(⇜⇑⪆13124)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":44619,"operation_count":15,"complexity_ratio":2974.6,"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":1172,"base":5},"right_expr":{"type":"numeric_atoms","value":1678,"base":5}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3058,"base":5},"right_expr":{"type":"numeric_atoms","value":5130,"base":5}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":4308,"base":5}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":4701,"base":5},"right_expr":{"type":"numeric_atoms","value":2837,"base":5}}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1433,"base":5},"right_expr":{"type":"numeric_atoms","value":1046,"base":5}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1724,"base":5},"right_expr":{"type":"numeric_atoms","value":4952,"base":5}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1541,"base":5}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1039,"base":5}}}}},"used_operators":["XAx5wpdLa6","ncHt1X6cMc","9FxExcQeMw","s3Fd5m9Dh2","oZj3VtZNQx","bF6eod5Gvf","bQ67fsrMVf","0ajvFaJAv0","FyVja0WsTP","i9eR4S00cU","mqXw5SEYmG","mp7IySMOzn","aNhz54LH3e","jLgFTUHLKL","lFBm8KRb8F"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","8w2t5hMYqp","9FxExcQeMw","tifHPKVTfV","cHh1gJQ2o6","AHs5Up7iyr","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","Tw270M8GLb","fu6greOZ01","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1172","layer":4},{"info":"number node, value=1678","layer":4},{"info":"compute binary expreesion, left_input=1172, right_input=1678, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=6828","layer":3},{"info":"number node, value=3058","layer":4},{"info":"number node, value=5130","layer":4},{"info":"compute binary expreesion, left_input=3058, right_input=5130, 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=6828, right_input=2822, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7980","layer":2},{"info":"number node, value=4308","layer":4},{"info":"compute unary expreesion, input=4308, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=4099","layer":3},{"info":"number node, value=4701","layer":4},{"info":"number node, value=2837","layer":4},{"info":"compute binary expreesion, left_input=4701, right_input=2837, 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=4099, right_input=160, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=7980, right_input=-480, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":1},{"info":"number node, value=1433","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=1433, 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=1724","layer":4},{"info":"number node, value=4952","layer":4},{"info":"compute binary expreesion, left_input=1724, right_input=4952, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9904","layer":3},{"info":"compute binary expreesion, left_input=4059, right_input=9904, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=1541","layer":4},{"info":"compute unary expreesion, input=1541, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9548","layer":3},{"info":"number node, value=1039","layer":4},{"info":"compute unary expreesion, input=1039, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-8720","layer":3},{"info":"compute binary expreesion, left_input=-9548, right_input=-8720, 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 = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=196, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆14142⊬⨰⇑⪆23203⩷∴⇑⪆44213≀⫉⇑⪆131010)≁↽≥((⨝⨆⇑⪆114213)→⨶⪴⇑⪆122301⫁⇑⪆42322)⪭≯(⇑⪆21213⫸⊐⇑⪆13141⫔⩽⩺⇑⪆23344⇷⇑⪆124302)⊱⇼⊻(↩⇑⪆22131)≎⪠(⇜⇑⪆13124)=NaN","reverse_text":"NaN=(⇑⪆14142⊬⨰⇑⪆23203⩷∴⇑⪆44213≀⫉⇑⪆131010)≁↽≥((⨝⨆⇑⪆114213)→⨶⪴⇑⪆122301⫁⇑⪆42322)⪭≯(⇑⪆21213⫸⊐⇑⪆13141⫔⩽⩺⇑⪆23344⇷⇑⪆124302)⊱⇼⊻(↩⇑⪆22131)≎⪠(⇜⇑⪆13124)","cot":[{"info":"⇑⪆14142⊬⨰⇑⪆23203=⇑⪆204303","layer":3},{"info":"⇑⪆44213≀⫉⇑⪆131010=⇑⪆42242","layer":3},{"info":"⇑⪆204303⩷∴⇑⪆42242=⇑⪆223410","layer":2},{"info":"⨝⨆⇑⪆114213=⇑⪆112344","layer":3},{"info":"⇑⪆122301⫁⇑⪆42322=⇑⪆1120","layer":3},{"info":"⇑⪆112344→⨶⪴⇑⪆1120=⇑⪆-3410","layer":2},{"info":"⇑⪆223410≁↽≥⇑⪆-3410=⇑⪆1241","layer":1},{"info":"⇑⪆21213⫸⊐⇑⪆13141=⇑⪆112214","layer":3},{"info":"⇑⪆23344⇷⇑⪆124302=⇑⪆304104","layer":3},{"info":"⇑⪆112214⫔⩽⩺⇑⪆304104=NaN","layer":2},{"info":"↩⇑⪆22131=⇑⪆-301143","layer":3},{"info":"⇜⇑⪆13124=⇑⪆-234340","layer":3},{"info":"⇑⪆-301143≎⪠⇑⪆-234340=⇑⪆1111213","layer":2},{"info":"NaN⊱⇼⊻⇑⪆1111213=NaN","layer":1},{"info":"⇑⪆1241⪭≯NaN=NaN","layer":0}]}
{"id":470,"expression_no_base_symbol":"(($1838$+⪬∐$1354$)⩣⫁∢($2735$⋣⋖$1249$)≫≃)⪚(((⪓⩚$5594$)⫁⪎(⇖$2524$))⇚⪠)","expression":"((⇑⪆24323+⪬∐⇑⪆20404)⩣⫁∢(⇑⪆41420⋣⋖⇑⪆14444)≫≃)⪚(((⪓⩚⇑⪆134334)⫁⪎(⇖⇑⪆40044))⇚⪠)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3559,"operation_count":9,"complexity_ratio":395.44444444444446,"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":1838,"base":5},"right_expr":{"type":"numeric_atoms","value":1354,"base":5}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2735,"base":5},"right_expr":{"type":"numeric_atoms","value":1249,"base":5}}}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":5594,"base":5}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":2524,"base":5}}}}},"used_operators":["HrjLwUk87U","X99M06cbEe","JDUIKTTSIa","2GS7woTJqF","J0M6qkBnIM","Loh9y4A90B","xRrnTEsQ6j","u0R0Locfp2","tfWHHpNKUN"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","g55IO6H4Gj","D4vGDi5EA2","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","2DQ55sFlQl"],"result":"⇑⪆2013112","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1838","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=1838, right_input=1354, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-5514","layer":3},{"info":"number node, value=2735","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=2735, right_input=1249, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2735","layer":3},{"info":"compute binary expreesion, left_input=-5514, right_input=2735, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=22621","layer":2},{"info":"compute unary expreesion, input=22621, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=46643","layer":1},{"info":"number node, value=5594","layer":4},{"info":"compute unary expreesion, input=5594, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=2524","layer":4},{"info":"compute unary expreesion, input=2524, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=160, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=266","layer":2},{"info":"compute unary expreesion, input=266, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=30324","layer":1},{"info":"compute binary expreesion, left_input=46643, right_input=30324, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=32282","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆24323+⪬∐⇑⪆20404)⩣⫁∢(⇑⪆41420⋣⋖⇑⪆14444)≫≃)⪚(((⪓⩚⇑⪆134334)⫁⪎(⇖⇑⪆40044))⇚⪠)=⇑⪆2013112","reverse_text":"⇑⪆2013112=((⇑⪆24323+⪬∐⇑⪆20404)⩣⫁∢(⇑⪆41420⋣⋖⇑⪆14444)≫≃)⪚(((⪓⩚⇑⪆134334)⫁⪎(⇖⇑⪆40044))⇚⪠)","cot":[{"info":"⇑⪆24323+⪬∐⇑⪆20404=⇑⪆-134024","layer":3},{"info":"⇑⪆41420⋣⋖⇑⪆14444=⇑⪆41420","layer":3},{"info":"⇑⪆-134024⩣⫁∢⇑⪆41420=⇑⪆1210441","layer":2},{"info":"⇑⪆1210441≫≃=⇑⪆2443033","layer":1},{"info":"⪓⩚⇑⪆134334=⇑⪆3201","layer":3},{"info":"⇖⇑⪆40044=⇑⪆1120","layer":3},{"info":"⇑⪆3201⫁⪎⇑⪆1120=⇑⪆2031","layer":2},{"info":"⇑⪆2031⇚⪠=⇑⪆1432244","layer":1},{"info":"⇑⪆2443033⪚⇑⪆1432244=⇑⪆2013112","layer":0}]}
{"id":471,"expression_no_base_symbol":"(($4722$↤⩊$1352$⨻⩈⩔($2507$⪉⨛$1005$))⊉↱≁$3586$≌$9250$⨸($5974$≳⇉$2666$))⨽∌(($3311$+⇶⊼$1064$⪬∳)⇍⊗(⇁⨣⪵$5430$∥⊢⊲$1404$))","expression":"((⇑⪆122342↤⩊⇑⪆20402⨻⩈⩔(⇑⪆40012⪉⨛⇑⪆13010))⊉↱≁⇑⪆103321≌⇑⪆244000⨸(⇑⪆142344≳⇉⇑⪆41131))⨽∌((⇑⪆101221+⇶⊼⇑⪆13224⪬∳)⇍⊗(⇁⨣⪵⇑⪆133210∥⊢⊲⇑⪆21104))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":93844146,"operation_count":13,"complexity_ratio":7218780.461538462,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":4722,"base":5},"right_expr":{"type":"numeric_atoms","value":1352,"base":5}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2507,"base":5},"right_expr":{"type":"numeric_atoms","value":1005,"base":5}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":3586,"base":5},"right_expr":{"type":"numeric_atoms","value":9250,"base":5}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":5974,"base":5},"right_expr":{"type":"numeric_atoms","value":2666,"base":5}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3311,"base":5},"right_expr":{"type":"numeric_atoms","value":1064,"base":5}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":5430,"base":5},"right_expr":{"type":"numeric_atoms","value":1404,"base":5}}}}},"used_operators":["9samAPKr6k","w2P8NbNXyL","nEsXyWgiOK","13rbtpv6ld","EWw2JM7wp4","KmoU8R5UQR","lyWz822IDG","V0kx6qeWkN","5uvYHDjeKN","O9U3z1385E","TpPTUOHfaN","inkyxCbjAn","v1UQAVDJRr"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","AHs5Up7iyr","B5M0gjZbta","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4722","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=4722, right_input=1352, 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=2507","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=2507, right_input=1005, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=6731","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6731, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":2},{"info":"number node, value=3586","layer":4},{"info":"number node, value=9250","layer":4},{"info":"compute binary expreesion, left_input=3586, right_input=9250, 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=5974","layer":4},{"info":"number node, value=2666","layer":4},{"info":"compute binary expreesion, left_input=5974, right_input=2666, 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 = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":1},{"info":"number node, value=3311","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=3311, right_input=1064, 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 = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=nan","layer":2},{"info":"number node, value=5430","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=5430, right_input=1404, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, 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 = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆122342↤⩊⇑⪆20402⨻⩈⩔(⇑⪆40012⪉⨛⇑⪆13010))⊉↱≁⇑⪆103321≌⇑⪆244000⨸(⇑⪆142344≳⇉⇑⪆41131))⨽∌((⇑⪆101221+⇶⊼⇑⪆13224⪬∳)⇍⊗(⇁⨣⪵⇑⪆133210∥⊢⊲⇑⪆21104))=NaN","reverse_text":"NaN=((⇑⪆122342↤⩊⇑⪆20402⨻⩈⩔(⇑⪆40012⪉⨛⇑⪆13010))⊉↱≁⇑⪆103321≌⇑⪆244000⨸(⇑⪆142344≳⇉⇑⪆41131))⨽∌((⇑⪆101221+⇶⊼⇑⪆13224⪬∳)⇍⊗(⇁⨣⪵⇑⪆133210∥⊢⊲⇑⪆21104))","cot":[{"info":"⇑⪆122342↤⩊⇑⪆20402=NaN","layer":3},{"info":"⇑⪆40012⪉⨛⇑⪆13010=⇑⪆203411","layer":3},{"info":"NaN⨻⩈⩔⇑⪆203411=NaN","layer":2},{"info":"⇑⪆103321≌⇑⪆244000=NaN","layer":3},{"info":"⇑⪆142344≳⇉⇑⪆41131=NaN","layer":3},{"info":"NaN⨸NaN=NaN","layer":2},{"info":"NaN⊉↱≁NaN=NaN","layer":1},{"info":"⇑⪆101221+⇶⊼⇑⪆13224=NaN","layer":3},{"info":"NaN⪬∳=NaN","layer":2},{"info":"⇑⪆133210∥⊢⊲⇑⪆21104=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"NaN⇍⊗NaN=NaN","layer":1},{"info":"NaN⨽∌NaN=NaN","layer":0}]}
{"id":472,"expression_no_base_symbol":"($3964$⩖⊿$1787$⊭↱(⋂$2459$)⪒($1092$⪶≀⋏$6831$)⊔$1610$⨟⋌⩍$5552$)⋹⋡⊁((∨∊⋏($1156$⇣⩺⋵$1109$))⩍⋽⫝̸(($1027$⫻⋑⊟)⨽⪊≇))","expression":"(⇑⪆111324⩖⊿⇑⪆24122⊭↱(⋂⇑⪆34314)⪒(⇑⪆13332⪶≀⋏⇑⪆204311)⊔⇑⪆22420⨟⋌⩍⇑⪆134202)⋹⋡⊁((∨∊⋏(⇑⪆14111⇣⩺⋵⇑⪆13414))⩍⋽⫝̸((⇑⪆13102⫻⋑⊟)⨽⪊≇))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":62793,"operation_count":13,"complexity_ratio":4830.2307692307695,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3964,"base":5},"right_expr":{"type":"numeric_atoms","value":1787,"base":5}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":2459,"base":5}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1092,"base":5},"right_expr":{"type":"numeric_atoms","value":6831,"base":5}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1610,"base":5},"right_expr":{"type":"numeric_atoms","value":5552,"base":5}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1156,"base":5},"right_expr":{"type":"numeric_atoms","value":1109,"base":5}}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1027,"base":5}}}}},"used_operators":["As8RqfVLgs","f6k1SAg4EE","COABgblf1C","RZ5CV9rWsJ","BUOGQAYlQx","E4l6HwMY31","zR4jO40bMj","rGHVDoGpnC","BiWNJpBvwn","R5aXW34M0v","F4yD0voBRQ","nlCqmYiOvY","o575Zjdmzy"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","Tcnh7f0tEr","Ph9nP6C5qx","xUOZtlo3hN","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI"],"result":"⇑⪆423343","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3964","layer":4},{"info":"number node, value=1787","layer":4},{"info":"compute binary expreesion, left_input=3964, right_input=1787, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-1642","layer":3},{"info":"number node, value=2459","layer":4},{"info":"compute unary expreesion, input=2459, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-33830","layer":3},{"info":"compute binary expreesion, left_input=-1642, right_input=-33830, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-64371","layer":2},{"info":"number node, value=1092","layer":4},{"info":"number node, value=6831","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=6831, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-17170","layer":3},{"info":"number node, value=1610","layer":4},{"info":"number node, value=5552","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=5552, 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=-17170, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-64371, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1156","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=1156, right_input=1109, 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 = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-17769","layer":2},{"info":"number node, value=1027","layer":4},{"info":"compute unary expreesion, input=1027, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-1544","layer":3},{"info":"compute unary expreesion, input=-1544, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=-3614","layer":2},{"info":"compute binary expreesion, left_input=-17769, right_input=-3614, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=13473","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=13473, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=14223","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆111324⩖⊿⇑⪆24122⊭↱(⋂⇑⪆34314)⪒(⇑⪆13332⪶≀⋏⇑⪆204311)⊔⇑⪆22420⨟⋌⩍⇑⪆134202)⋹⋡⊁((∨∊⋏(⇑⪆14111⇣⩺⋵⇑⪆13414))⩍⋽⫝̸((⇑⪆13102⫻⋑⊟)⨽⪊≇))=⇑⪆423343","reverse_text":"⇑⪆423343=(⇑⪆111324⩖⊿⇑⪆24122⊭↱(⋂⇑⪆34314)⪒(⇑⪆13332⪶≀⋏⇑⪆204311)⊔⇑⪆22420⨟⋌⩍⇑⪆134202)⋹⋡⊁((∨∊⋏(⇑⪆14111⇣⩺⋵⇑⪆13414))⩍⋽⫝̸((⇑⪆13102⫻⋑⊟)⨽⪊≇))","cot":[{"info":"⇑⪆111324⩖⊿⇑⪆24122=⇑⪆-23032","layer":3},{"info":"⋂⇑⪆34314=⇑⪆-2040310","layer":3},{"info":"⇑⪆-23032⊭↱⇑⪆-2040310=⇑⪆-4024441","layer":2},{"info":"⇑⪆13332⪶≀⋏⇑⪆204311=⇑⪆-1022140","layer":3},{"info":"⇑⪆22420⨟⋌⩍⇑⪆134202=NaN","layer":3},{"info":"⇑⪆-1022140⊔NaN=NaN","layer":2},{"info":"⇑⪆-4024441⪒NaN=NaN","layer":1},{"info":"⇑⪆14111⇣⩺⋵⇑⪆13414=⇑⪆-2020","layer":3},{"info":"∨∊⋏⇑⪆-2020=⇑⪆-1032034","layer":2},{"info":"⇑⪆13102⫻⋑⊟=⇑⪆-22134","layer":3},{"info":"⇑⪆-22134⨽⪊≇=⇑⪆-103424","layer":2},{"info":"⇑⪆-1032034⩍⋽⫝̸⇑⪆-103424=⇑⪆412343","layer":1},{"info":"NaN⋹⋡⊁⇑⪆412343=⇑⪆423343","layer":0}]}
{"id":473,"expression_no_base_symbol":"(↩⪖($3204$⩦$2365$≣⋋))⫥∨⫟(($1155$⊍⩺⋍$1037$)⩇∃⫛($1336$⪨⊡$7495$)⊬⫿⊭)","expression":"(↩⪖(⇑⪆100304⩦⇑⪆33430≣⋋))⫥∨⫟((⇑⪆14110⊍⩺⋍⇑⪆13122)⩇∃⫛(⇑⪆20321⪨⊡⇑⪆214440)⊬⫿⊭)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":947,"operation_count":8,"complexity_ratio":118.375,"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":3204,"base":5},"right_expr":{"type":"numeric_atoms","value":2365,"base":5}}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1155,"base":5},"right_expr":{"type":"numeric_atoms","value":1037,"base":5}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1336,"base":5},"right_expr":{"type":"numeric_atoms","value":7495,"base":5}}}}},"used_operators":["KYD54nUTWz","fG6uBQFnGz","Tcnh7f0tEr","0kmYd0q39Y","v0DYgG9ikt","1aApVXNlOP","OXDGMFPWZM","kuIXHzHcAH"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3204","layer":4},{"info":"number node, value=2365","layer":4},{"info":"compute binary expreesion, left_input=3204, right_input=2365, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6408","layer":3},{"info":"compute unary expreesion, input=6408, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-2982","layer":1},{"info":"number node, value=1155","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=1037, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=1336","layer":4},{"info":"number node, value=7495","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=7495, 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 = 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 = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2982, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(↩⪖(⇑⪆100304⩦⇑⪆33430≣⋋))⫥∨⫟((⇑⪆14110⊍⩺⋍⇑⪆13122)⩇∃⫛(⇑⪆20321⪨⊡⇑⪆214440)⊬⫿⊭)=NaN","reverse_text":"NaN=(↩⪖(⇑⪆100304⩦⇑⪆33430≣⋋))⫥∨⫟((⇑⪆14110⊍⩺⋍⇑⪆13122)⩇∃⫛(⇑⪆20321⪨⊡⇑⪆214440)⊬⫿⊭)","cot":[{"info":"⇑⪆100304⩦⇑⪆33430=⇑⪆201113","layer":3},{"info":"⇑⪆201113≣⋋=⇑⪆0","layer":2},{"info":"↩⪖⇑⪆0=⇑⪆-43412","layer":1},{"info":"⇑⪆14110⊍⩺⋍⇑⪆13122=NaN","layer":3},{"info":"⇑⪆20321⪨⊡⇑⪆214440=⇑⪆0","layer":3},{"info":"NaN⩇∃⫛⇑⪆0=NaN","layer":2},{"info":"NaN⊬⫿⊭=NaN","layer":1},{"info":"⇑⪆-43412⫥∨⫟NaN=NaN","layer":0}]}
{"id":474,"expression_no_base_symbol":"↴⪽⋼(≸($5771$⊹∫⫚$4023$⋅⇍(⊙↵-$3200$)))","expression":"↴⪽⋼(≸(⇑⪆141041⊹∫⫚⇑⪆112043⋅⇍(⊙↵-⇑⪆100300)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3359,"operation_count":5,"complexity_ratio":671.8,"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":5},"right_expr":{"type":"numeric_atoms","value":4023,"base":5}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3200,"base":5}}}}},"used_operators":["5TUYCnJO6w","eOf03JbCpp","AdZkA7nFnk","uWAJUKEvyW","oWn0xqSxBt"],"dependent_operators":["MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⇑⪆2401","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5771","layer":4},{"info":"number node, value=4023","layer":4},{"info":"compute binary expreesion, left_input=5771, right_input=4023, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-144","layer":3},{"info":"number node, value=3200","layer":4},{"info":"compute unary expreesion, input=3200, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-144, right_input=-1, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, 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":1},{"info":"compute unary expreesion, input=351, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=351","layer":0}],"base":5,"result_base":5,"text":"↴⪽⋼(≸(⇑⪆141041⊹∫⫚⇑⪆112043⋅⇍(⊙↵-⇑⪆100300)))=⇑⪆2401","reverse_text":"⇑⪆2401=↴⪽⋼(≸(⇑⪆141041⊹∫⫚⇑⪆112043⋅⇍(⊙↵-⇑⪆100300)))","cot":[{"info":"⇑⪆141041⊹∫⫚⇑⪆112043=⇑⪆-1034","layer":3},{"info":"⊙↵-⇑⪆100300=⇑⪆-1","layer":3},{"info":"⇑⪆-1034⋅⇍⇑⪆-1=⇑⪆-42","layer":2},{"info":"≸⇑⪆-42=⇑⪆2401","layer":1},{"info":"↴⪽⋼⇑⪆2401=⇑⪆2401","layer":0}]}
{"id":475,"expression_no_base_symbol":"((⫟$4142$⪍↜⋙$1117$)∽(⊖$1066$)∺≝⩲(⋠∜$6971$))⪛⫼(($1929$≚⋢)⊍⩺⋍($7238$+$1135$))⪮%⊝(($3289$↫)∝$1147$⨜⨶$1304$)","expression":"((⫟⇑⪆113032⪍↜⋙⇑⪆13432)∽(⊖⇑⪆13231)∺≝⩲(⋠∜⇑⪆210341))⪛⫼((⇑⪆30204≚⋢)⊍⩺⋍(⇑⪆212423+⇑⪆14020))⪮%⊝((⇑⪆101124↫)∝⇑⪆14042⨜⨶⇑⪆20204)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2211,"operation_count":14,"complexity_ratio":157.92857142857142,"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":4142,"base":5},"right_expr":{"type":"numeric_atoms","value":1117,"base":5}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1066,"base":5}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":6971,"base":5}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":1929,"base":5}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7238,"base":5},"right_expr":{"type":"numeric_atoms","value":1135,"base":5}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":3289,"base":5}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1147,"base":5},"right_expr":{"type":"numeric_atoms","value":1304,"base":5}}}}},"used_operators":["hyuBjUqXlG","y4ImoPnbV5","z4E1FaHLuy","L05ObWFQCd","KPf6cnQVty","U6pG0PXrV3","ZJpFhNJr3x","IWmyXbctLI","OXDGMFPWZM","MahUMFw56D","W4YGzv6Whe","cTDWOvIxvz","uPb5QRN0te","HiPekx5b7W"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","NTOWxs364D","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","3ViojmjbAp","7j4O788W3g","W4YGzv6Whe","COABgblf1C","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4142","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=4142, right_input=1117, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=6050","layer":3},{"info":"compute unary expreesion, input=6050, 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=-17243","layer":2},{"info":"number node, value=1066","layer":4},{"info":"compute unary expreesion, input=1066, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=6971","layer":4},{"info":"compute unary expreesion, input=6971, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=30168","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=30168, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-17243, right_input=160, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=85913","layer":1},{"info":"number node, value=1929","layer":4},{"info":"compute unary expreesion, input=1929, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"number node, value=7238","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=7238, right_input=1135, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8373","layer":3},{"info":"compute binary expreesion, left_input=-89, right_input=8373, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=3289","layer":4},{"info":"compute unary expreesion, input=3289, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"number node, value=1147","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=1304, 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=-2352","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2352, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=165","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=165, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=85913, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⫟⇑⪆113032⪍↜⋙⇑⪆13432)∽(⊖⇑⪆13231)∺≝⩲(⋠∜⇑⪆210341))⪛⫼((⇑⪆30204≚⋢)⊍⩺⋍(⇑⪆212423+⇑⪆14020))⪮%⊝((⇑⪆101124↫)∝⇑⪆14042⨜⨶⇑⪆20204)=NaN","reverse_text":"NaN=((⫟⇑⪆113032⪍↜⋙⇑⪆13432)∽(⊖⇑⪆13231)∺≝⩲(⋠∜⇑⪆210341))⪛⫼((⇑⪆30204≚⋢)⊍⩺⋍(⇑⪆212423+⇑⪆14020))⪮%⊝((⇑⪆101124↫)∝⇑⪆14042⨜⨶⇑⪆20204)","cot":[{"info":"⇑⪆113032⪍↜⋙⇑⪆13432=⇑⪆143200","layer":3},{"info":"⫟⇑⪆143200=⇑⪆-1022433","layer":2},{"info":"⊖⇑⪆13231=⇑⪆0","layer":3},{"info":"⋠∜⇑⪆210341=⇑⪆1431133","layer":3},{"info":"⇑⪆0∺≝⩲⇑⪆1431133=⇑⪆1120","layer":2},{"info":"⇑⪆-1022433∽⇑⪆1120=⇑⪆10222123","layer":1},{"info":"⇑⪆30204≚⋢=⇑⪆-324","layer":3},{"info":"⇑⪆212423+⇑⪆14020=⇑⪆231443","layer":3},{"info":"⇑⪆-324⊍⩺⋍⇑⪆231443=NaN","layer":2},{"info":"⇑⪆101124↫=⇑⪆1120","layer":3},{"info":"⇑⪆14042⨜⨶⇑⪆20204=⇑⪆-33402","layer":3},{"info":"⇑⪆1120∝⇑⪆-33402=⇑⪆1130","layer":2},{"info":"NaN⪮%⊝⇑⪆1130=NaN","layer":1},{"info":"⇑⪆10222123⪛⫼NaN=NaN","layer":0}]}
{"id":476,"expression_no_base_symbol":"((($4675$⪉⨛$5929$)≭(≤/$6428$))≝⊿($8513$⩁⩘$1584$∽$3216$⨳⩥⨓$4101$))⨂≜((($1210$⨒$1598$)≝⊿($2090$⋓$1681$))≁(($4363$≣⋋)⨟⋌⩍($4584$∐⫣)))","expression":"(((⇑⪆122200⪉⨛⇑⪆142204)≭(≤/⇑⪆201203))≝⊿(⇑⪆233023⩁⩘⇑⪆22314∽⇑⪆100331⨳⩥⨓⇑⪆112401))⨂≜(((⇑⪆14320⨒⇑⪆22343)≝⊿(⇑⪆31330⋓⇑⪆23211))≁((⇑⪆114423≣⋋)⨟⋌⩍(⇑⪆121314∐⫣)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2964,"operation_count":15,"complexity_ratio":197.6,"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":4675,"base":5},"right_expr":{"type":"numeric_atoms","value":5929,"base":5}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6428,"base":5}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":8513,"base":5},"right_expr":{"type":"numeric_atoms","value":1584,"base":5}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3216,"base":5},"right_expr":{"type":"numeric_atoms","value":4101,"base":5}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1210,"base":5},"right_expr":{"type":"numeric_atoms","value":1598,"base":5}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2090,"base":5},"right_expr":{"type":"numeric_atoms","value":1681,"base":5}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4363,"base":5}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":4584,"base":5}}}}},"used_operators":["k1SHOSEABc","OKKcZfAt5B","rxpJgHHUmx","EWw2JM7wp4","eLAdDNolq6","y4ImoPnbV5","gub5Cegaqo","nCS4ZIUYfx","8N2wDY1A35","y75s1iXyHd","T2fj7uvVaJ","rGHVDoGpnC","Tcnh7f0tEr","4CyGpkTkEk"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","12rbrZMWeM","AHs5Up7iyr","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","NTOWxs364D","QMFrweE19q","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Tcnh7f0tEr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4675","layer":4},{"info":"number node, value=5929","layer":4},{"info":"compute binary expreesion, left_input=4675, right_input=5929, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=8311","layer":3},{"info":"number node, value=6428","layer":4},{"info":"compute unary expreesion, input=6428, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5944","layer":3},{"info":"compute binary expreesion, left_input=8311, right_input=-5944, 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=8513","layer":4},{"info":"number node, value=1584","layer":4},{"info":"compute binary expreesion, left_input=8513, right_input=1584, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=7284","layer":3},{"info":"number node, value=3216","layer":4},{"info":"number node, value=4101","layer":4},{"info":"compute binary expreesion, left_input=3216, right_input=4101, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=885","layer":3},{"info":"compute binary expreesion, left_input=7284, right_input=885, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-38897","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-38897, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":1},{"info":"number node, value=1210","layer":4},{"info":"number node, value=1598","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=1598, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-6888","layer":3},{"info":"number node, value=2090","layer":4},{"info":"number node, value=1681","layer":4},{"info":"compute binary expreesion, left_input=2090, right_input=1681, 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=-6888, right_input=0, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=6355","layer":2},{"info":"number node, value=4363","layer":4},{"info":"compute unary expreesion, input=4363, 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=4584","layer":4},{"info":"compute unary expreesion, input=4584, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=551, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=6355, 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=nan, right_input=-8941, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆122200⪉⨛⇑⪆142204)≭(≤/⇑⪆201203))≝⊿(⇑⪆233023⩁⩘⇑⪆22314∽⇑⪆100331⨳⩥⨓⇑⪆112401))⨂≜(((⇑⪆14320⨒⇑⪆22343)≝⊿(⇑⪆31330⋓⇑⪆23211))≁((⇑⪆114423≣⋋)⨟⋌⩍(⇑⪆121314∐⫣)))=NaN","reverse_text":"NaN=(((⇑⪆122200⪉⨛⇑⪆142204)≭(≤/⇑⪆201203))≝⊿(⇑⪆233023⩁⩘⇑⪆22314∽⇑⪆100331⨳⩥⨓⇑⪆112401))⨂≜(((⇑⪆14320⨒⇑⪆22343)≝⊿(⇑⪆31330⋓⇑⪆23211))≁((⇑⪆114423≣⋋)⨟⋌⩍(⇑⪆121314∐⫣)))","cot":[{"info":"⇑⪆122200⪉⨛⇑⪆142204=⇑⪆231221","layer":3},{"info":"≤/⇑⪆201203=⇑⪆-142234","layer":3},{"info":"⇑⪆231221≭⇑⪆-142234=NaN","layer":2},{"info":"⇑⪆233023⩁⩘⇑⪆22314=⇑⪆213114","layer":3},{"info":"⇑⪆100331⨳⩥⨓⇑⪆112401=⇑⪆12020","layer":3},{"info":"⇑⪆213114∽⇑⪆12020=⇑⪆-2221042","layer":2},{"info":"NaN≝⊿⇑⪆-2221042=NaN","layer":1},{"info":"⇑⪆14320⨒⇑⪆22343=⇑⪆-210023","layer":3},{"info":"⇑⪆31330⋓⇑⪆23211=⇑⪆0","layer":3},{"info":"⇑⪆-210023≝⊿⇑⪆0=⇑⪆200410","layer":2},{"info":"⇑⪆114423≣⋋=⇑⪆0","layer":3},{"info":"⇑⪆121314∐⫣=⇑⪆4201","layer":3},{"info":"⇑⪆0⨟⋌⩍⇑⪆4201=⇑⪆0","layer":2},{"info":"⇑⪆200410≁⇑⪆0=⇑⪆-241231","layer":1},{"info":"NaN⨂≜⇑⪆-241231=NaN","layer":0}]}
{"id":477,"expression_no_base_symbol":"($3562$⨑⩅≇$3169$⪛($2248$∖$1354$))⩌⋺($1145$⪡$2994$)⩖⊿($1200$⇌⫙⪟$7581$)⊪","expression":"(⇑⪆103222⨑⩅≇⇑⪆100134⪛(⇑⪆32443∖⇑⪆20404))⩌⋺(⇑⪆14040⪡⇑⪆43434)⩖⊿(⇑⪆14300⇌⫙⪟⇑⪆220311)⊪","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3580,"operation_count":8,"complexity_ratio":447.5,"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":3562,"base":5},"right_expr":{"type":"numeric_atoms","value":3169,"base":5}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2248,"base":5},"right_expr":{"type":"numeric_atoms","value":1354,"base":5}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1145,"base":5},"right_expr":{"type":"numeric_atoms","value":2994,"base":5}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1200,"base":5},"right_expr":{"type":"numeric_atoms","value":7581,"base":5}}}}},"used_operators":["zVYPLywUTj","g7Hmc5v1ko","uFcxV4UQCh","h92wMvzauj","tXD093vOjl","RZ5CV9rWsJ","oraRL2iQuh","AFVx7xoS7T"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3562","layer":4},{"info":"number node, value=3169","layer":4},{"info":"compute binary expreesion, left_input=3562, right_input=3169, 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=-10686","layer":3},{"info":"number node, value=2248","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=2248, right_input=1354, 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=-10686, 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=1145","layer":4},{"info":"number node, value=2994","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=2994, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1200","layer":4},{"info":"number node, value=7581","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=7581, 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=107, right_input=113, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=1688","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1688, 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 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":0}],"base":5,"result_base":5,"text":"(⇑⪆103222⨑⩅≇⇑⪆100134⪛(⇑⪆32443∖⇑⪆20404))⩌⋺(⇑⪆14040⪡⇑⪆43434)⩖⊿(⇑⪆14300⇌⫙⪟⇑⪆220311)⊪=NaN","reverse_text":"NaN=(⇑⪆103222⨑⩅≇⇑⪆100134⪛(⇑⪆32443∖⇑⪆20404))⩌⋺(⇑⪆14040⪡⇑⪆43434)⩖⊿(⇑⪆14300⇌⫙⪟⇑⪆220311)⊪","cot":[{"info":"⇑⪆103222⨑⩅≇⇑⪆100134=⇑⪆-320221","layer":3},{"info":"⇑⪆32443∖⇑⪆20404=⇑⪆0","layer":3},{"info":"⇑⪆-320221⪛⇑⪆0=NaN","layer":2},{"info":"⇑⪆14040⪡⇑⪆43434=⇑⪆412","layer":3},{"info":"⇑⪆14300⇌⫙⪟⇑⪆220311=⇑⪆423","layer":3},{"info":"⇑⪆412⩖⊿⇑⪆423=⇑⪆23223","layer":2},{"info":"NaN⩌⋺⇑⪆23223=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
{"id":478,"expression_no_base_symbol":"⩩((⨈⪑(⇋⊎⋝$1825$))⨚⇆($1414$⩇∃⫛$1246$)⪮%⊝($4680$⪛⫼$1201$))","expression":"⩩((⨈⪑(⇋⊎⋝⇑⪆24300))⨚⇆(⇑⪆21124⩇∃⫛⇑⪆14441)⪮%⊝(⇑⪆122210⪛⫼⇑⪆14301))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3056,"operation_count":7,"complexity_ratio":436.57142857142856,"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":1825,"base":5}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1414,"base":5},"right_expr":{"type":"numeric_atoms","value":1246,"base":5}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":4680,"base":5},"right_expr":{"type":"numeric_atoms","value":1201,"base":5}}}}},"used_operators":["kMhfGuqI2H","lwHaAYXP2r","mp94q5OcYM","CzM2PEoXns","IWmyXbctLI","1aApVXNlOP","hyuBjUqXlG"],"dependent_operators":["6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","dWAJyo7jo9","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=1825","layer":4},{"info":"compute unary expreesion, input=1825, op_id = CzM2PEoXns, 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":"number node, value=1414","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=1414, right_input=1246, 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=305","layer":3},{"info":"number node, value=4680","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=4680, right_input=1201, 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=305, right_input=968, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=926","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=926, 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 = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⩩((⨈⪑(⇋⊎⋝⇑⪆24300))⨚⇆(⇑⪆21124⩇∃⫛⇑⪆14441)⪮%⊝(⇑⪆122210⪛⫼⇑⪆14301))=NaN","reverse_text":"NaN=⩩((⨈⪑(⇋⊎⋝⇑⪆24300))⨚⇆(⇑⪆21124⩇∃⫛⇑⪆14441)⪮%⊝(⇑⪆122210⪛⫼⇑⪆14301))","cot":[{"info":"⇋⊎⋝⇑⪆24300=NaN","layer":3},{"info":"⨈⪑NaN=NaN","layer":2},{"info":"⇑⪆21124⩇∃⫛⇑⪆14441=⇑⪆2210","layer":3},{"info":"⇑⪆122210⪛⫼⇑⪆14301=⇑⪆12333","layer":3},{"info":"⇑⪆2210⪮%⊝⇑⪆12333=⇑⪆12201","layer":2},{"info":"NaN⨚⇆⇑⪆12201=NaN","layer":1},{"info":"⩩NaN=NaN","layer":0}]}
{"id":479,"expression_no_base_symbol":"(($5001$≬⋮$2378$)⨫⇇↔($2892$≬⋮$1800$)⪄(⫯($2552$⨽$2896$)))⇣⩺⋵(($1386$∀⋜↑)↬(⨡↴$3457$))⊲⩕⊾($3964$⨿$5447$)⫗⊷⫓($3615$⪟⇏$1008$)","expression":"((⇑⪆130001≬⋮⇑⪆34003)⨫⇇↔(⇑⪆43032≬⋮⇑⪆24200)⪄(⫯(⇑⪆40202⨽⇑⪆43041)))⇣⩺⋵((⇑⪆21021∀⋜↑)↬(⨡↴⇑⪆102312))⊲⩕⊾(⇑⪆111324⨿⇑⪆133242)⫗⊷⫓(⇑⪆103430⪟⇏⇑⪆13013)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":104888,"operation_count":14,"complexity_ratio":7492.0,"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":5001,"base":5},"right_expr":{"type":"numeric_atoms","value":2378,"base":5}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2892,"base":5},"right_expr":{"type":"numeric_atoms","value":1800,"base":5}}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2552,"base":5},"right_expr":{"type":"numeric_atoms","value":2896,"base":5}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":1386,"base":5}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":3457,"base":5}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3964,"base":5},"right_expr":{"type":"numeric_atoms","value":5447,"base":5}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3615,"base":5},"right_expr":{"type":"numeric_atoms","value":1008,"base":5}}}}},"used_operators":["F4yD0voBRQ","SUmda5xLS4","LXhwmt4mBO","kbkesczE7y","H6BK1Evt7c","8HhzD0ZcuI","DmTXOeWf9t","B5M0gjZbta","KipPnG1M2J","liw5iZPkLH","zashukvMKz","abYXlopdE0","GODebY97qR"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","W4YGzv6Whe","P8v4zCKN1o","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"⇑⪆-2020","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5001","layer":4},{"info":"number node, value=2378","layer":4},{"info":"compute binary expreesion, left_input=5001, right_input=2378, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=2892","layer":4},{"info":"number node, value=1800","layer":4},{"info":"compute binary expreesion, left_input=2892, right_input=1800, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=868, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=2552","layer":4},{"info":"number node, value=2896","layer":4},{"info":"compute binary expreesion, left_input=2552, right_input=2896, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-19545486","layer":3},{"info":"compute unary expreesion, input=-19545486, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=508196588","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=508196588, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=1386","layer":4},{"info":"compute unary expreesion, input=1386, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"number node, value=3457","layer":4},{"info":"compute unary expreesion, input=3457, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=4506","layer":3},{"info":"compute binary expreesion, left_input=-484, right_input=4506, 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=3964","layer":4},{"info":"number node, value=5447","layer":4},{"info":"compute binary expreesion, left_input=3964, right_input=5447, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=3615","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=3615, right_input=1008, 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=-319, right_input=-1, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆130001≬⋮⇑⪆34003)⨫⇇↔(⇑⪆43032≬⋮⇑⪆24200)⪄(⫯(⇑⪆40202⨽⇑⪆43041)))⇣⩺⋵((⇑⪆21021∀⋜↑)↬(⨡↴⇑⪆102312))⊲⩕⊾(⇑⪆111324⨿⇑⪆133242)⫗⊷⫓(⇑⪆103430⪟⇏⇑⪆13013)=⇑⪆-2020","reverse_text":"⇑⪆-2020=((⇑⪆130001≬⋮⇑⪆34003)⨫⇇↔(⇑⪆43032≬⋮⇑⪆24200)⪄(⫯(⇑⪆40202⨽⇑⪆43041)))⇣⩺⋵((⇑⪆21021∀⋜↑)↬(⨡↴⇑⪆102312))⊲⩕⊾(⇑⪆111324⨿⇑⪆133242)⫗⊷⫓(⇑⪆103430⪟⇏⇑⪆13013)","cot":[{"info":"⇑⪆130001≬⋮⇑⪆34003=⇑⪆11433","layer":3},{"info":"⇑⪆43032≬⋮⇑⪆24200=⇑⪆11433","layer":3},{"info":"⇑⪆11433⨫⇇↔⇑⪆11433=⇑⪆-4102","layer":2},{"info":"⇑⪆40202⨽⇑⪆43041=⇑⪆-20000423421","layer":3},{"info":"⫯⇑⪆-20000423421=⇑⪆2020044242323","layer":2},{"info":"⇑⪆-4102⪄⇑⪆2020044242323=⇑⪆111404","layer":1},{"info":"⇑⪆21021∀⋜↑=⇑⪆-3414","layer":3},{"info":"⨡↴⇑⪆102312=⇑⪆121011","layer":3},{"info":"⇑⪆-3414↬⇑⪆121011=NaN","layer":2},{"info":"⇑⪆111324⨿⇑⪆133242=⇑⪆-2234","layer":3},{"info":"⇑⪆103430⪟⇏⇑⪆13013=⇑⪆-1","layer":3},{"info":"⇑⪆-2234⫗⊷⫓⇑⪆-1=NaN","layer":2},{"info":"NaN⊲⩕⊾NaN=NaN","layer":1},{"info":"⇑⪆111404⇣⩺⋵NaN=⇑⪆-2020","layer":0}]}
{"id":480,"expression_no_base_symbol":"∓($1084$≴⪞⇿$1241$⪮%⊝($2055$↦)⫸⊐($3657$↳≱$4583$+$6199$⨓$2446$))","expression":"∓(⇑⪆13314≴⪞⇿⇑⪆14431⪮%⊝(⇑⪆31210↦)⫸⊐(⇑⪆104112↳≱⇑⪆121313+⇑⪆144244⨓⇑⪆34241))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":227446,"operation_count":8,"complexity_ratio":28430.75,"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":1084,"base":5},"right_expr":{"type":"numeric_atoms","value":1241,"base":5}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":2055,"base":5}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":3657,"base":5},"right_expr":{"type":"numeric_atoms","value":4583,"base":5}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6199,"base":5},"right_expr":{"type":"numeric_atoms","value":2446,"base":5}}}}},"used_operators":["OwUj7dcsQK","mqXw5SEYmG","IWmyXbctLI","lvlrscuwVU","fFznvYxMfW","W4YGzv6Whe","JwTKLfZU96","3ViojmjbAp"],"dependent_operators":["DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1084","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=1241, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1315676","layer":3},{"info":"number node, value=2055","layer":4},{"info":"compute unary expreesion, input=2055, 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=1315676, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=3657","layer":4},{"info":"number node, value=4583","layer":4},{"info":"compute binary expreesion, left_input=3657, right_input=4583, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=6199","layer":4},{"info":"number node, value=2446","layer":4},{"info":"compute binary expreesion, left_input=6199, right_input=2446, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2449","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2449, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-2449","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2449, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"∓(⇑⪆13314≴⪞⇿⇑⪆14431⪮%⊝(⇑⪆31210↦)⫸⊐(⇑⪆104112↳≱⇑⪆121313+⇑⪆144244⨓⇑⪆34241))=NaN","reverse_text":"NaN=∓(⇑⪆13314≴⪞⇿⇑⪆14431⪮%⊝(⇑⪆31210↦)⫸⊐(⇑⪆104112↳≱⇑⪆121313+⇑⪆144244⨓⇑⪆34241))","cot":[{"info":"⇑⪆13314≴⪞⇿⇑⪆14431=⇑⪆314100201","layer":3},{"info":"⇑⪆31210↦=NaN","layer":3},{"info":"⇑⪆314100201⪮%⊝NaN=NaN","layer":2},{"info":"⇑⪆104112↳≱⇑⪆121313=⇑⪆0","layer":3},{"info":"⇑⪆144244⨓⇑⪆34241=⇑⪆-34244","layer":3},{"info":"⇑⪆0+⇑⪆-34244=⇑⪆-34244","layer":2},{"info":"NaN⫸⊐⇑⪆-34244=NaN","layer":1},{"info":"∓NaN=NaN","layer":0}]}
{"id":481,"expression_no_base_symbol":"(⇐($3118$∷$3829$))⪬(≸≮($1356$⊔$4189$))⫁(($1133$∠⫱$5768$)≚⊃≕(∂$2962$)∀⋜↑)","expression":"(⇐(⇑⪆44433∷⇑⪆110304))⪬(≸≮(⇑⪆20411⊔⇑⪆113224))⫁((⇑⪆14013∠⫱⇑⪆141033)≚⊃≕(∂⇑⪆43322)∀⋜↑)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":132943,"operation_count":10,"complexity_ratio":13294.3,"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":3118,"base":5},"right_expr":{"type":"numeric_atoms","value":3829,"base":5}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1356,"base":5},"right_expr":{"type":"numeric_atoms","value":4189,"base":5}}}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1133,"base":5},"right_expr":{"type":"numeric_atoms","value":5768,"base":5}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2962,"base":5}}}}},"used_operators":["0ajvFaJAv0","Ez1Nq5fNfI","nmZMaaE0Q9","D3AQDKkPcf","AljMvE3RRm","E4l6HwMY31","KipPnG1M2J","Bmrmz2XGnR","QvoQhV0rrE","Uaa54Peajs"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","9FxExcQeMw","NTOWxs364D","7j4O788W3g","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"⇑⪆1120","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3118","layer":4},{"info":"number node, value=3829","layer":4},{"info":"compute binary expreesion, left_input=3118, right_input=3829, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3829","layer":3},{"info":"compute unary expreesion, input=3829, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=10200","layer":2},{"info":"number node, value=1356","layer":4},{"info":"number node, value=4189","layer":4},{"info":"compute binary expreesion, left_input=1356, right_input=4189, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=21257","layer":3},{"info":"compute unary expreesion, input=21257, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10200, 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=1133","layer":4},{"info":"number node, value=5768","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=5768, 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=2962","layer":4},{"info":"compute unary expreesion, input=2962, 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=1234, 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=-8330","layer":2},{"info":"compute unary expreesion, input=-8330, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-25474","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-25474, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":5,"result_base":5,"text":"(⇐(⇑⪆44433∷⇑⪆110304))⪬(≸≮(⇑⪆20411⊔⇑⪆113224))⫁((⇑⪆14013∠⫱⇑⪆141033)≚⊃≕(∂⇑⪆43322)∀⋜↑)=⇑⪆1120","reverse_text":"⇑⪆1120=(⇐(⇑⪆44433∷⇑⪆110304))⪬(≸≮(⇑⪆20411⊔⇑⪆113224))⫁((⇑⪆14013∠⫱⇑⪆141033)≚⊃≕(∂⇑⪆43322)∀⋜↑)","cot":[{"info":"⇑⪆44433∷⇑⪆110304=⇑⪆110304","layer":3},{"info":"⇐⇑⪆110304=⇑⪆311300","layer":2},{"info":"⇑⪆20411⊔⇑⪆113224=⇑⪆1140012","layer":3},{"info":"≸≮⇑⪆1140012=NaN","layer":2},{"info":"⇑⪆311300⪬NaN=⇑⪆14414","layer":1},{"info":"⇑⪆14013∠⫱⇑⪆141033=⇑⪆14414","layer":3},{"info":"∂⇑⪆43322=NaN","layer":3},{"info":"⇑⪆14414≚⊃≕NaN=⇑⪆-231310","layer":2},{"info":"⇑⪆-231310∀⋜↑=⇑⪆-1303344","layer":1},{"info":"⇑⪆14414⫁⇑⪆-1303344=⇑⪆1120","layer":0}]}
{"id":482,"expression_no_base_symbol":"(⇠($1475$∌$1272$)∌($3693$⇴∐$4249$))⨸⪁((⊵⊁($3594$⪭$2306$))∙∹∝(($6152$⇩)∲⫓$1073$≒∊$4616$))","expression":"(⇠(⇑⪆21400∌⇑⪆20042)∌(⇑⪆104233⇴∐⇑⪆113444))⨸⪁((⊵⊁(⇑⪆103334⪭⇑⪆33211))∙∹∝((⇑⪆144102⇩)∲⫓⇑⪆13243≒∊⇑⪆121431))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":68,"operation_count":11,"complexity_ratio":6.181818181818182,"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":1475,"base":5},"right_expr":{"type":"numeric_atoms","value":1272,"base":5}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3693,"base":5},"right_expr":{"type":"numeric_atoms","value":4249,"base":5}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3594,"base":5},"right_expr":{"type":"numeric_atoms","value":2306,"base":5}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":6152,"base":5}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1073,"base":5},"right_expr":{"type":"numeric_atoms","value":4616,"base":5}}}}},"used_operators":["g55IO6H4Gj","18saOjeKKm","8cLx32lpNA","HnzytWxmAO","HmxsFra2vL","AvED76WdY7","j9kHMeSvPp","i8ToyICDmI","vRio1gEz1j","5KTvxBwnZo"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","uBihLCJcMX","k8jYdgA6NY","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1475","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=1475, right_input=1272, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1272","layer":3},{"info":"number node, value=3693","layer":4},{"info":"number node, value=4249","layer":4},{"info":"compute binary expreesion, left_input=3693, right_input=4249, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1272, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1272","layer":2},{"info":"compute unary expreesion, input=-1272, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":1},{"info":"number node, value=3594","layer":4},{"info":"number node, value=2306","layer":4},{"info":"compute binary expreesion, left_input=3594, right_input=2306, 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 = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":2},{"info":"number node, value=6152","layer":4},{"info":"compute unary expreesion, input=6152, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=6245","layer":3},{"info":"number node, value=1073","layer":4},{"info":"number node, value=4616","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=4616, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-589","layer":3},{"info":"compute binary expreesion, left_input=6245, right_input=-589, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=6245","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=6245, 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=0, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=0","layer":0}],"base":5,"result_base":5,"text":"(⇠(⇑⪆21400∌⇑⪆20042)∌(⇑⪆104233⇴∐⇑⪆113444))⨸⪁((⊵⊁(⇑⪆103334⪭⇑⪆33211))∙∹∝((⇑⪆144102⇩)∲⫓⇑⪆13243≒∊⇑⪆121431))=⇑⪆0","reverse_text":"⇑⪆0=(⇠(⇑⪆21400∌⇑⪆20042)∌(⇑⪆104233⇴∐⇑⪆113444))⨸⪁((⊵⊁(⇑⪆103334⪭⇑⪆33211))∙∹∝((⇑⪆144102⇩)∲⫓⇑⪆13243≒∊⇑⪆121431))","cot":[{"info":"⇑⪆21400∌⇑⪆20042=⇑⪆-20042","layer":3},{"info":"⇑⪆104233⇴∐⇑⪆113444=NaN","layer":3},{"info":"⇑⪆-20042∌NaN=⇑⪆-20042","layer":2},{"info":"⇠⇑⪆-20042=⇑⪆0","layer":1},{"info":"⇑⪆103334⪭⇑⪆33211=⇑⪆10","layer":3},{"info":"⊵⊁⇑⪆10=⇑⪆0","layer":2},{"info":"⇑⪆144102⇩=⇑⪆144440","layer":3},{"info":"⇑⪆13243≒∊⇑⪆121431=⇑⪆-4324","layer":3},{"info":"⇑⪆144440∲⫓⇑⪆-4324=⇑⪆144440","layer":2},{"info":"⇑⪆0∙∹∝⇑⪆144440=⇑⪆0","layer":1},{"info":"⇑⪆0⨸⪁⇑⪆0=⇑⪆0","layer":0}]}
{"id":483,"expression_no_base_symbol":"((($2269$∝$1349$)⩚⊴⇥$3102$⫁$3646$)⨚⇆(($6369$∧)⪇≇⋚($2075$/$2014$)))⊝⪿⪼(∓(⇉-⫰$3026$⫗⊷⫓$5599$))","expression":"(((⇑⪆33034∝⇑⪆20344)⩚⊴⇥⇑⪆44402⫁⇑⪆104041)⨚⇆((⇑⪆200434∧)⪇≇⋚(⇑⪆31300/⇑⪆31024)))⊝⪿⪼(∓(⇉-⫰⇑⪆44101⫗⊷⫓⇑⪆134344))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1009,"operation_count":11,"complexity_ratio":91.72727272727273,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2269,"base":5},"right_expr":{"type":"numeric_atoms","value":1349,"base":5}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3102,"base":5},"right_expr":{"type":"numeric_atoms","value":3646,"base":5}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":6369,"base":5}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2075,"base":5},"right_expr":{"type":"numeric_atoms","value":2014,"base":5}}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3026,"base":5},"right_expr":{"type":"numeric_atoms","value":5599,"base":5}}}}},"used_operators":["3Oe9XWJUTD","lwHaAYXP2r","NTOWxs364D","cTDWOvIxvz","0ajvFaJAv0","3sJ7IOPOlU","z63VuFQld9","XhwjNDsVaA","OwUj7dcsQK","IGFM8TAlm9","zashukvMKz"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","7j4O788W3g","W4YGzv6Whe","COABgblf1C","cHh1gJQ2o6","AHs5Up7iyr","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","eH2TOUuTDT","eewbuw0ToL","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"-Inf","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2269","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=2269, right_input=1349, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2274","layer":3},{"info":"number node, value=3102","layer":4},{"info":"number node, value=3646","layer":4},{"info":"compute binary expreesion, left_input=3102, right_input=3646, 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=2274, right_input=160, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2555","layer":2},{"info":"number node, value=6369","layer":4},{"info":"compute unary expreesion, input=6369, 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=2075","layer":4},{"info":"number node, value=2014","layer":4},{"info":"compute binary expreesion, left_input=2075, right_input=2014, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2555, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":1},{"info":"number node, value=3026","layer":4},{"info":"number node, value=5599","layer":4},{"info":"compute binary expreesion, left_input=3026, right_input=5599, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-5172","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=-5172, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-inf","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆33034∝⇑⪆20344)⩚⊴⇥⇑⪆44402⫁⇑⪆104041)⨚⇆((⇑⪆200434∧)⪇≇⋚(⇑⪆31300/⇑⪆31024)))⊝⪿⪼(∓(⇉-⫰⇑⪆44101⫗⊷⫓⇑⪆134344))=-Inf","reverse_text":"-Inf=(((⇑⪆33034∝⇑⪆20344)⩚⊴⇥⇑⪆44402⫁⇑⪆104041)⨚⇆((⇑⪆200434∧)⪇≇⋚(⇑⪆31300/⇑⪆31024)))⊝⪿⪼(∓(⇉-⫰⇑⪆44101⫗⊷⫓⇑⪆134344))","cot":[{"info":"⇑⪆33034∝⇑⪆20344=⇑⪆33044","layer":3},{"info":"⇑⪆44402⫁⇑⪆104041=⇑⪆1120","layer":3},{"info":"⇑⪆33044⩚⊴⇥⇑⪆1120=⇑⪆-40210","layer":2},{"info":"⇑⪆200434∧=NaN","layer":3},{"info":"⇑⪆31300/⇑⪆31024=⇑⪆1","layer":3},{"info":"NaN⪇≇⋚⇑⪆1=NaN","layer":2},{"info":"⇑⪆-40210⨚⇆NaN=-Inf","layer":1},{"info":"⇑⪆44101⫗⊷⫓⇑⪆134344=⇑⪆-1014","layer":3},{"info":"⇉-⫰⇑⪆-1014=⇑⪆40","layer":2},{"info":"∓⇑⪆40=⇑⪆-131142","layer":1},{"info":"-Inf⊝⪿⪼⇑⪆-131142=-Inf","layer":0}]}
{"id":484,"expression_no_base_symbol":"⨝⨆(⨛(⋣(∤$1405$)))","expression":"⨝⨆(⨛(⋣(∤⇑⪆21110)))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":687,"operation_count":4,"complexity_ratio":171.75,"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":1405,"base":5}}}}},"used_operators":["bQ67fsrMVf","CoMdbyAt7R","zQWRhDnn8F","k2HlF1dBQh"],"dependent_operators":["tifHPKVTfV","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp"],"result":"⇑⪆-1314","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1405","layer":4},{"info":"compute unary expreesion, input=1405, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute unary expreesion, input=9, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-2551","layer":2},{"info":"compute unary expreesion, input=-2551, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-209","layer":0}],"base":5,"result_base":5,"text":"⨝⨆(⨛(⋣(∤⇑⪆21110)))=⇑⪆-1314","reverse_text":"⇑⪆-1314=⨝⨆(⨛(⋣(∤⇑⪆21110)))","cot":[{"info":"∤⇑⪆21110=⇑⪆14","layer":3},{"info":"⋣⇑⪆14=⇑⪆-40201","layer":2},{"info":"⨛⇑⪆-40201=⇑⪆0","layer":1},{"info":"⨝⨆⇑⪆0=⇑⪆-1314","layer":0}]}
{"id":485,"expression_no_base_symbol":"(⪡⇡≛($2404$⋻⩜⩜$1929$⫔⩽⩺($1548$⊚⫡⫭)))⋻⩜⩜(∐⩳⋚($1002$⊚⫡⫭)≴⪞⇿($3021$∵≐))","expression":"(⪡⇡≛(⇑⪆34104⋻⩜⩜⇑⪆30204⫔⩽⩺(⇑⪆22143⊚⫡⫭)))⋻⩜⩜(∐⩳⋚(⇑⪆13002⊚⫡⫭)≴⪞⇿(⇑⪆44041∵≐))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":27327,"operation_count":9,"complexity_ratio":3036.3333333333335,"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":2404,"base":5},"right_expr":{"type":"numeric_atoms","value":1929,"base":5}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":1548,"base":5}}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":1002,"base":5}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":3021,"base":5}}}}},"used_operators":["oDCm7WA9JY","qL4PrbW1Dq","i9eR4S00cU","SpZWOsLKZJ","SL6IHkK8vl","lvlrscuwVU","59igzFyhWz"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","Tw270M8GLb","fu6greOZ01","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2404","layer":4},{"info":"number node, value=1929","layer":4},{"info":"compute binary expreesion, left_input=2404, right_input=1929, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4808","layer":3},{"info":"number node, value=1548","layer":4},{"info":"compute unary expreesion, input=1548, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-2170","layer":3},{"info":"compute binary expreesion, left_input=4808, right_input=-2170, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(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=1002","layer":4},{"info":"compute unary expreesion, input=1002, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-1078","layer":3},{"info":"number node, value=3021","layer":4},{"info":"compute unary expreesion, input=3021, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=2075","layer":3},{"info":"compute binary expreesion, left_input=-1078, right_input=2075, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-17436","layer":2},{"info":"compute unary expreesion, input=-17436, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-5092378","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5092378, 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":5,"result_base":5,"text":"(⪡⇡≛(⇑⪆34104⋻⩜⩜⇑⪆30204⫔⩽⩺(⇑⪆22143⊚⫡⫭)))⋻⩜⩜(∐⩳⋚(⇑⪆13002⊚⫡⫭)≴⪞⇿(⇑⪆44041∵≐))=NaN","reverse_text":"NaN=(⪡⇡≛(⇑⪆34104⋻⩜⩜⇑⪆30204⫔⩽⩺(⇑⪆22143⊚⫡⫭)))⋻⩜⩜(∐⩳⋚(⇑⪆13002⊚⫡⫭)≴⪞⇿(⇑⪆44041∵≐))","cot":[{"info":"⇑⪆34104⋻⩜⩜⇑⪆30204=⇑⪆123213","layer":3},{"info":"⇑⪆22143⊚⫡⫭=⇑⪆-32140","layer":3},{"info":"⇑⪆123213⫔⩽⩺⇑⪆-32140=NaN","layer":2},{"info":"⪡⇡≛NaN=NaN","layer":1},{"info":"⇑⪆13002⊚⫡⫭=⇑⪆-13303","layer":3},{"info":"⇑⪆44041∵≐=⇑⪆31300","layer":3},{"info":"⇑⪆-13303≴⪞⇿⇑⪆31300=⇑⪆-1024221","layer":2},{"info":"∐⩳⋚⇑⪆-1024221=⇑⪆-2300424003","layer":1},{"info":"NaN⋻⩜⩜⇑⪆-2300424003=NaN","layer":0}]}
{"id":486,"expression_no_base_symbol":"↑(⨈⫕((⫶⊄≣$7385$)⫦⪉$1444$↳∿⪆$6760$))","expression":"↑(⨈⫕((⫶⊄≣⇑⪆214020)⫦⪉⇑⪆21234↳∿⪆⇑⪆204020))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10362,"operation_count":5,"complexity_ratio":2072.4,"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":7385,"base":5}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1444,"base":5},"right_expr":{"type":"numeric_atoms","value":6760,"base":5}}}}},"used_operators":["tR7O2zTn5j","megm06wKyl","wscyQdcy20","wxb3vTeyAj","Cw4SuJJGHO"],"dependent_operators":["oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"⇑⪆1232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7385","layer":4},{"info":"compute unary expreesion, input=7385, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=981817669","layer":3},{"info":"number node, value=1444","layer":4},{"info":"number node, value=6760","layer":4},{"info":"compute binary expreesion, left_input=1444, right_input=6760, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=981817669, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-1963630438","layer":2},{"info":"compute unary expreesion, input=-1963630438, 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 = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":0}],"base":5,"result_base":5,"text":"↑(⨈⫕((⫶⊄≣⇑⪆214020)⫦⪉⇑⪆21234↳∿⪆⇑⪆204020))=⇑⪆1232","reverse_text":"⇑⪆1232=↑(⨈⫕((⫶⊄≣⇑⪆214020)⫦⪉⇑⪆21234↳∿⪆⇑⪆204020))","cot":[{"info":"⫶⊄≣⇑⪆214020=⇑⪆4002321131134","layer":3},{"info":"⇑⪆21234↳∿⪆⇑⪆204020=NaN","layer":3},{"info":"⇑⪆4002321131134⫦⪉NaN=⇑⪆-13010142133223","layer":2},{"info":"⨈⫕⇑⪆-13010142133223=⇑⪆-41","layer":1},{"info":"↑⇑⪆-41=⇑⪆1232","layer":0}]}
{"id":487,"expression_no_base_symbol":"(⊿($7811$⨜⨶$1010$⩏))⇼⇔∾($1194$⨐$1737$⊍⩺⋍($5370$⪬∳))⋾⨃∁($5546$↳∿⪆$4036$⊍⩺⋍$2435$⨰$6962$)","expression":"(⊿(⇑⪆222221⨜⨶⇑⪆13020⩏))⇼⇔∾(⇑⪆14234⨐⇑⪆23422⊍⩺⋍(⇑⪆132440⪬∳))⋾⨃∁(⇑⪆134141↳∿⪆⇑⪆112121⊍⩺⋍⇑⪆34220⨰⇑⪆210322)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19452,"operation_count":11,"complexity_ratio":1768.3636363636363,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":7811,"base":5},"right_expr":{"type":"numeric_atoms","value":1010,"base":5}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1194,"base":5},"right_expr":{"type":"numeric_atoms","value":1737,"base":5}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":5370,"base":5}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":5546,"base":5},"right_expr":{"type":"numeric_atoms","value":4036,"base":5}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2435,"base":5},"right_expr":{"type":"numeric_atoms","value":6962,"base":5}}}}},"used_operators":["tifHPKVTfV","DO4fhlbJSI","iA2gmKZ3Wj","HiPekx5b7W","212REbPD9h","OXDGMFPWZM","Noe24qw2ks","O9U3z1385E","Cw4SuJJGHO","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","z6LnFrNh4i","Tcnh7f0tEr","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7811","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=7811, right_input=1010, 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=-1764","layer":3},{"info":"compute unary expreesion, input=-1764, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-738","layer":1},{"info":"number node, value=1194","layer":4},{"info":"number node, value=1737","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=1737, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2388","layer":3},{"info":"number node, value=5370","layer":4},{"info":"compute unary expreesion, input=5370, 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=-2388, right_input=-709, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=5546","layer":4},{"info":"number node, value=4036","layer":4},{"info":"compute binary expreesion, left_input=5546, right_input=4036, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2435","layer":4},{"info":"number node, value=6962","layer":4},{"info":"compute binary expreesion, left_input=2435, right_input=6962, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4517","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4517, 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 = 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=-738, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⊿(⇑⪆222221⨜⨶⇑⪆13020⩏))⇼⇔∾(⇑⪆14234⨐⇑⪆23422⊍⩺⋍(⇑⪆132440⪬∳))⋾⨃∁(⇑⪆134141↳∿⪆⇑⪆112121⊍⩺⋍⇑⪆34220⨰⇑⪆210322)=NaN","reverse_text":"NaN=(⊿(⇑⪆222221⨜⨶⇑⪆13020⩏))⇼⇔∾(⇑⪆14234⨐⇑⪆23422⊍⩺⋍(⇑⪆132440⪬∳))⋾⨃∁(⇑⪆134141↳∿⪆⇑⪆112121⊍⩺⋍⇑⪆34220⨰⇑⪆210322)","cot":[{"info":"⇑⪆222221⨜⨶⇑⪆13020=⇑⪆-24024","layer":3},{"info":"⇑⪆-24024⩏=⇑⪆0","layer":2},{"info":"⊿⇑⪆0=⇑⪆-10423","layer":1},{"info":"⇑⪆14234⨐⇑⪆23422=⇑⪆-34023","layer":3},{"info":"⇑⪆132440⪬∳=⇑⪆-10314","layer":3},{"info":"⇑⪆-34023⊍⩺⋍⇑⪆-10314=NaN","layer":2},{"info":"⇑⪆134141↳∿⪆⇑⪆112121=NaN","layer":3},{"info":"⇑⪆34220⨰⇑⪆210322=⇑⪆-121032","layer":3},{"info":"NaN⊍⩺⋍⇑⪆-121032=NaN","layer":2},{"info":"NaN⋾⨃∁NaN=NaN","layer":1},{"info":"⇑⪆-10423⇼⇔∾NaN=NaN","layer":0}]}
{"id":488,"expression_no_base_symbol":"≅≯⇸(⪡⇡≛$5088$)⪒⊣⊆($3096$∋$3302$)⊭↱$2984$⇻⋧≁$6339$⊨($1763$≭$7805$)","expression":"≅≯⇸(⪡⇡≛⇑⪆130323)⪒⊣⊆(⇑⪆44341∋⇑⪆101202)⊭↱⇑⪆43414⇻⋧≁⇑⪆200324⊨(⇑⪆24023≭⇑⪆222210)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3187,"operation_count":8,"complexity_ratio":398.375,"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":5088,"base":5}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3096,"base":5},"right_expr":{"type":"numeric_atoms","value":3302,"base":5}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2984,"base":5},"right_expr":{"type":"numeric_atoms","value":6339,"base":5}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1763,"base":5},"right_expr":{"type":"numeric_atoms","value":7805,"base":5}}}}},"used_operators":["apS25hmuAe","COABgblf1C","eRqsBgTDFp","qL4PrbW1Dq","ukq6epAj5P","vg4gO5BX6G","jCPkEVoL5K","rxpJgHHUmx"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5088","layer":4},{"info":"compute unary expreesion, input=5088, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-5088","layer":3},{"info":"number node, value=3096","layer":4},{"info":"number node, value=3302","layer":4},{"info":"compute binary expreesion, left_input=3096, right_input=3302, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=6949064","layer":3},{"info":"compute binary expreesion, left_input=-5088, right_input=6949064, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=13908406","layer":2},{"info":"number node, value=2984","layer":4},{"info":"number node, value=6339","layer":4},{"info":"compute binary expreesion, left_input=2984, right_input=6339, 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=1763","layer":4},{"info":"number node, value=7805","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=7805, 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 = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13908406, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"≅≯⇸(⪡⇡≛⇑⪆130323)⪒⊣⊆(⇑⪆44341∋⇑⪆101202)⊭↱⇑⪆43414⇻⋧≁⇑⪆200324⊨(⇑⪆24023≭⇑⪆222210)=NaN","reverse_text":"NaN=≅≯⇸(⪡⇡≛⇑⪆130323)⪒⊣⊆(⇑⪆44341∋⇑⪆101202)⊭↱⇑⪆43414⇻⋧≁⇑⪆200324⊨(⇑⪆24023≭⇑⪆222210)","cot":[{"info":"⪡⇡≛⇑⪆130323=⇑⪆-130323","layer":3},{"info":"⇑⪆44341∋⇑⪆101202=⇑⪆3234332224","layer":3},{"info":"⇑⪆-130323⪒⊣⊆⇑⪆3234332224=⇑⪆12030032111","layer":2},{"info":"⇑⪆43414⇻⋧≁⇑⪆200324=⇑⪆-3242","layer":3},{"info":"⇑⪆24023≭⇑⪆222210=NaN","layer":3},{"info":"⇑⪆-3242⊨NaN=NaN","layer":2},{"info":"⇑⪆12030032111⊭↱NaN=NaN","layer":1},{"info":"≅≯⇸NaN=NaN","layer":0}]}
{"id":489,"expression_no_base_symbol":"↥≼⋛$4622$⨼⩣$4350$⋝⋈⪟($3965$⫦⪉$1901$)⋳⪒(($2638$⫳≱↱$4577$)⪣⫩)","expression":"↥≼⋛⇑⪆121442⨼⩣⇑⪆114400⋝⋈⪟(⇑⪆111330⫦⪉⇑⪆30101)⋳⪒((⇑⪆41023⫳≱↱⇑⪆121302)⪣⫩)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":733,"operation_count":7,"complexity_ratio":104.71428571428571,"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":4622,"base":5},"right_expr":{"type":"numeric_atoms","value":4350,"base":5}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":3965,"base":5},"right_expr":{"type":"numeric_atoms","value":1901,"base":5}}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2638,"base":5},"right_expr":{"type":"numeric_atoms","value":4577,"base":5}}}}},"used_operators":["x5lMkHmzsq","12rbrZMWeM","2DDjHMKMc0","JxwMv5le6e","wscyQdcy20","iuk5sVOGFA","ZvLB05nZmT"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"⇑⪆-423","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=4622","layer":4},{"info":"number node, value=4350","layer":4},{"info":"compute binary expreesion, left_input=4622, right_input=4350, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=3965","layer":4},{"info":"number node, value=1901","layer":4},{"info":"compute binary expreesion, left_input=3965, right_input=1901, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-3030","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3030, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2638","layer":4},{"info":"number node, value=4577","layer":4},{"info":"compute binary expreesion, left_input=2638, right_input=4577, 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 = 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=nan, right_input=913, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', 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":5,"result_base":5,"text":"↥≼⋛⇑⪆121442⨼⩣⇑⪆114400⋝⋈⪟(⇑⪆111330⫦⪉⇑⪆30101)⋳⪒((⇑⪆41023⫳≱↱⇑⪆121302)⪣⫩)=⇑⪆-423","reverse_text":"⇑⪆-423=↥≼⋛⇑⪆121442⨼⩣⇑⪆114400⋝⋈⪟(⇑⪆111330⫦⪉⇑⪆30101)⋳⪒((⇑⪆41023⫳≱↱⇑⪆121302)⪣⫩)","cot":[{"info":"⇑⪆121442⨼⩣⇑⪆114400=NaN","layer":3},{"info":"⇑⪆111330⫦⪉⇑⪆30101=⇑⪆-44110","layer":3},{"info":"NaN⋝⋈⪟⇑⪆-44110=NaN","layer":2},{"info":"⇑⪆41023⫳≱↱⇑⪆121302=⇑⪆-1304","layer":3},{"info":"⇑⪆-1304⪣⫩=⇑⪆12123","layer":2},{"info":"NaN⋳⪒⇑⪆12123=NaN","layer":1},{"info":"↥≼⋛NaN=⇑⪆-423","layer":0}]}
{"id":490,"expression_no_base_symbol":"⩎⋉((≦∁(∜⨇$4609$))⊝)","expression":"⩎⋉((≦∁(∜⨇⇑⪆121414))⊝)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":219,"operation_count":4,"complexity_ratio":54.75,"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":4609,"base":5}}}}},"used_operators":["FlXk3pOYe8","O6EZ0fifGK","9ICcGScMcE","uFPyJr306J"],"dependent_operators":["KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=4609","layer":4},{"info":"compute unary expreesion, input=4609, 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 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":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 = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⩎⋉((≦∁(∜⨇⇑⪆121414))⊝)=NaN","reverse_text":"NaN=⩎⋉((≦∁(∜⨇⇑⪆121414))⊝)","cot":[{"info":"∜⨇⇑⪆121414=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"NaN⊝=NaN","layer":1},{"info":"⩎⋉NaN=NaN","layer":0}]}
{"id":491,"expression_no_base_symbol":"⫡⇟⇯((∐⩳⋚($1584$⊋≦⊧$4737$))⩺⪪($1575$⪉⨛$3828$)≥⨤⩑($1107$⫑))","expression":"⫡⇟⇯((∐⩳⋚(⇑⪆22314⊋≦⊧⇑⪆122422))⩺⪪(⇑⪆22300⪉⨛⇑⪆110303)≥⨤⩑(⇑⪆13412⫑))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":503,"operation_count":7,"complexity_ratio":71.85714285714286,"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":1584,"base":5},"right_expr":{"type":"numeric_atoms","value":4737,"base":5}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1575,"base":5},"right_expr":{"type":"numeric_atoms","value":3828,"base":5}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":1107,"base":5}}}}},"used_operators":["qWUSsah53b","uvdQJvN4PV","SL6IHkK8vl","oRDoc9rAEX","gJLn6v0xnP","EWw2JM7wp4","CgIo77xlM2"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA"],"result":"⇑⪆41221","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1584","layer":4},{"info":"number node, value=4737","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=4737, 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=-6081","layer":3},{"info":"compute unary expreesion, input=-6081, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-1799428","layer":2},{"info":"number node, value=1575","layer":4},{"info":"number node, value=3828","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=3828, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1112","layer":3},{"info":"number node, value=1107","layer":4},{"info":"compute unary expreesion, input=1107, 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=1112, right_input=3979, 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=-1799428, right_input=1234, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"compute unary expreesion, input=-1818, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=2686","layer":0}],"base":5,"result_base":5,"text":"⫡⇟⇯((∐⩳⋚(⇑⪆22314⊋≦⊧⇑⪆122422))⩺⪪(⇑⪆22300⪉⨛⇑⪆110303)≥⨤⩑(⇑⪆13412⫑))=⇑⪆41221","reverse_text":"⇑⪆41221=⫡⇟⇯((∐⩳⋚(⇑⪆22314⊋≦⊧⇑⪆122422))⩺⪪(⇑⪆22300⪉⨛⇑⪆110303)≥⨤⩑(⇑⪆13412⫑))","cot":[{"info":"⇑⪆22314⊋≦⊧⇑⪆122422=⇑⪆-143311","layer":3},{"info":"∐⩳⋚⇑⪆-143311=⇑⪆-430040203","layer":2},{"info":"⇑⪆22300⪉⨛⇑⪆110303=⇑⪆13422","layer":3},{"info":"⇑⪆13412⫑=⇑⪆111404","layer":3},{"info":"⇑⪆13422≥⨤⩑⇑⪆111404=⇑⪆14414","layer":2},{"info":"⇑⪆-430040203⩺⪪⇑⪆14414=⇑⪆-24233","layer":1},{"info":"⫡⇟⇯⇑⪆-24233=⇑⪆41221","layer":0}]}
{"id":492,"expression_no_base_symbol":"$6360$∺≝⩲$1049$≝⊿($2175$⋷$4565$)⊔(($6447$⋭≵$1479$)⫑%∭)⫢⨠(($6380$⪔⊥$4082$)≎⪠$1187$⪃⊛⇣$1038$↡⊰⫅(∐⩳⋚($5682$∲⫓$2466$)))","expression":"⇑⪆200420∺≝⩲⇑⪆13144≝⊿(⇑⪆32200⋷⇑⪆121230)⊔((⇑⪆201242⋭≵⇑⪆21404)⫑%∭)⫢⨠((⇑⪆201010⪔⊥⇑⪆112312)≎⪠⇑⪆14222⪃⊛⇣⇑⪆13123↡⊰⫅(∐⩳⋚(⇑⪆140212∲⫓⇑⪆34331)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":408237,"operation_count":13,"complexity_ratio":31402.846153846152,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":6360,"base":5},"right_expr":{"type":"numeric_atoms","value":1049,"base":5}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2175,"base":5},"right_expr":{"type":"numeric_atoms","value":4565,"base":5}}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":6447,"base":5},"right_expr":{"type":"numeric_atoms","value":1479,"base":5}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":6380,"base":5},"right_expr":{"type":"numeric_atoms","value":4082,"base":5}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1187,"base":5},"right_expr":{"type":"numeric_atoms","value":1038,"base":5}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5682,"base":5},"right_expr":{"type":"numeric_atoms","value":2466,"base":5}}}}},"used_operators":["xlXykHWxX1","E4l6HwMY31","OKKcZfAt5B","KPf6cnQVty","23Mk6UjR3U","xUx7qlDO4z","jBncVCNhdl","VCtxkLNOzz","aNhz54LH3e","HJ9erzHUuu","rrgAzCduG9","SL6IHkK8vl","i8ToyICDmI"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","12rbrZMWeM","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","t8gj7n24qd","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6360","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=6360, right_input=1049, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=2175","layer":4},{"info":"number node, value=4565","layer":4},{"info":"compute binary expreesion, left_input=2175, right_input=4565, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6955","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=6955, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-14603","layer":2},{"info":"number node, value=6447","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=6447, right_input=1479, 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 = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-14603, 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=6380","layer":4},{"info":"number node, value=4082","layer":4},{"info":"compute binary expreesion, left_input=6380, right_input=4082, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=17157","layer":3},{"info":"number node, value=1187","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=1038, 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=17157, right_input=1234, 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=5682","layer":4},{"info":"number node, value=2466","layer":4},{"info":"compute binary expreesion, left_input=5682, right_input=2466, 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 = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-27694","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=-27694, 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=nan, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⇑⪆200420∺≝⩲⇑⪆13144≝⊿(⇑⪆32200⋷⇑⪆121230)⊔((⇑⪆201242⋭≵⇑⪆21404)⫑%∭)⫢⨠((⇑⪆201010⪔⊥⇑⪆112312)≎⪠⇑⪆14222⪃⊛⇣⇑⪆13123↡⊰⫅(∐⩳⋚(⇑⪆140212∲⫓⇑⪆34331)))=NaN","reverse_text":"NaN=⇑⪆200420∺≝⩲⇑⪆13144≝⊿(⇑⪆32200⋷⇑⪆121230)⊔((⇑⪆201242⋭≵⇑⪆21404)⫑%∭)⫢⨠((⇑⪆201010⪔⊥⇑⪆112312)≎⪠⇑⪆14222⪃⊛⇣⇑⪆13123↡⊰⫅(∐⩳⋚(⇑⪆140212∲⫓⇑⪆34331)))","cot":[{"info":"⇑⪆200420∺≝⩲⇑⪆13144=⇑⪆1120","layer":3},{"info":"⇑⪆32200⋷⇑⪆121230=⇑⪆210310","layer":3},{"info":"⇑⪆1120≝⊿⇑⪆210310=⇑⪆-431403","layer":2},{"info":"⇑⪆201242⋭≵⇑⪆21404=⇑⪆232","layer":3},{"info":"⇑⪆232⫑%∭=NaN","layer":2},{"info":"⇑⪆-431403⊔NaN=NaN","layer":1},{"info":"⇑⪆201010⪔⊥⇑⪆112312=⇑⪆1022112","layer":3},{"info":"⇑⪆14222⪃⊛⇣⇑⪆13123=⇑⪆14414","layer":3},{"info":"⇑⪆1022112≎⪠⇑⪆14414=⇑⪆1111213","layer":2},{"info":"⇑⪆140212∲⫓⇑⪆34331=⇑⪆0","layer":3},{"info":"∐⩳⋚⇑⪆0=⇑⪆-1341234","layer":2},{"info":"⇑⪆1111213↡⊰⫅⇑⪆-1341234=NaN","layer":1},{"info":"NaN⫢⨠NaN=NaN","layer":0}]}
{"id":493,"expression_no_base_symbol":"((⨮↦↱($1452$⪭$4435$))∠↢(⊗$1669$)⇤(⨛$1145$))⩧⪆(($1944$⨕⋳)∇⊂⋱($3297$⊟⇱)⨭⪣(⩰$1979$+⇶⊼$6064$))","expression":"((⨮↦↱(⇑⪆21302⪭⇑⪆120220))∠↢(⊗⇑⪆23134)⇤(⨛⇑⪆14040))⩧⪆((⇑⪆30234⨕⋳)∇⊂⋱(⇑⪆101142⊟⇱)⨭⪣(⩰⇑⪆30404+⇶⊼⇑⪆143224))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":791,"operation_count":13,"complexity_ratio":60.84615384615385,"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":1452,"base":5},"right_expr":{"type":"numeric_atoms","value":4435,"base":5}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1669,"base":5}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1145,"base":5}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":1944,"base":5}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":3297,"base":5}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1979,"base":5},"right_expr":{"type":"numeric_atoms","value":6064,"base":5}}}}},"used_operators":["Ikt5ks8PT7","KbjG8mgYpV","sYcpBQ0cFf","j9kHMeSvPp","YSKBFp38Pu","RhiyfpczSx","CoMdbyAt7R","kn8WO9XteQ","nhYeJWJD5X","4X4GscPmMf","03sUfWo75k","WkeUrDK8WX","TpPTUOHfaN"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","COABgblf1C","xUOZtlo3hN","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","IWmyXbctLI","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","AHs5Up7iyr"],"result":"⇑⪆41","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1452","layer":4},{"info":"number node, value=4435","layer":4},{"info":"compute binary expreesion, left_input=1452, right_input=4435, 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 = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-703032","layer":2},{"info":"number node, value=1669","layer":4},{"info":"compute unary expreesion, input=1669, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-3338","layer":3},{"info":"number node, value=1145","layer":4},{"info":"compute unary expreesion, input=1145, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3338, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-703032, 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=1944","layer":4},{"info":"compute unary expreesion, input=1944, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=90700","layer":3},{"info":"number node, value=3297","layer":4},{"info":"compute unary expreesion, input=3297, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=6910","layer":3},{"info":"compute binary expreesion, left_input=90700, right_input=6910, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=180854","layer":2},{"info":"number node, value=1979","layer":4},{"info":"number node, value=6064","layer":4},{"info":"compute binary expreesion, left_input=1979, right_input=6064, 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 = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=180854, 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 = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=21","layer":0}],"base":5,"result_base":5,"text":"((⨮↦↱(⇑⪆21302⪭⇑⪆120220))∠↢(⊗⇑⪆23134)⇤(⨛⇑⪆14040))⩧⪆((⇑⪆30234⨕⋳)∇⊂⋱(⇑⪆101142⊟⇱)⨭⪣(⩰⇑⪆30404+⇶⊼⇑⪆143224))=⇑⪆41","reverse_text":"⇑⪆41=((⨮↦↱(⇑⪆21302⪭⇑⪆120220))∠↢(⊗⇑⪆23134)⇤(⨛⇑⪆14040))⩧⪆((⇑⪆30234⨕⋳)∇⊂⋱(⇑⪆101142⊟⇱)⨭⪣(⩰⇑⪆30404+⇶⊼⇑⪆143224))","cot":[{"info":"⇑⪆21302⪭⇑⪆120220=⇑⪆10","layer":3},{"info":"⨮↦↱⇑⪆10=⇑⪆-134444112","layer":2},{"info":"⊗⇑⪆23134=⇑⪆-101323","layer":3},{"info":"⨛⇑⪆14040=NaN","layer":3},{"info":"⇑⪆-101323⇤NaN=NaN","layer":2},{"info":"⇑⪆-134444112∠↢NaN=NaN","layer":1},{"info":"⇑⪆30234⨕⋳=⇑⪆10400300","layer":3},{"info":"⇑⪆101142⊟⇱=⇑⪆210120","layer":3},{"info":"⇑⪆10400300∇⊂⋱⇑⪆210120=⇑⪆21241404","layer":2},{"info":"⇑⪆30404+⇶⊼⇑⪆143224=NaN","layer":3},{"info":"⩰NaN=NaN","layer":2},{"info":"⇑⪆21241404⨭⪣NaN=⇑⪆-41","layer":1},{"info":"NaN⩧⪆⇑⪆-41=⇑⪆41","layer":0}]}
{"id":494,"expression_no_base_symbol":"⩒∊(($7758$⫚↹⊑$2581$)≬⋮$2712$⋝⋈⪟$8986$)∘((⊀$3005$)⇮⋭(∮$1644$))","expression":"⩒∊((⇑⪆222013⫚↹⊑⇑⪆40311)≬⋮⇑⪆41322⋝⋈⪟⇑⪆241421)∘((⊀⇑⪆44010)⇮⋭(∮⇑⪆23034))","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":612,"operation_count":8,"complexity_ratio":76.5,"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":7758,"base":5},"right_expr":{"type":"numeric_atoms","value":2581,"base":5}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2712,"base":5},"right_expr":{"type":"numeric_atoms","value":8986,"base":5}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":3005,"base":5}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1644,"base":5}}}}},"used_operators":["qazvmhNBbN","Z5m6OM72h2","kbkesczE7y","dfKe02y8D2","2DDjHMKMc0","vkpjKywKVM","oPMjh9089D","CqXKPLVYql"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","eH2TOUuTDT","rysDP5nf3Z","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"⇑⪆41330","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7758","layer":4},{"info":"number node, value=2581","layer":4},{"info":"compute binary expreesion, left_input=7758, right_input=2581, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=2712","layer":4},{"info":"number node, value=8986","layer":4},{"info":"compute binary expreesion, left_input=2712, right_input=8986, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2712","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=2712, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=3005","layer":4},{"info":"compute unary expreesion, input=3005, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=11758","layer":3},{"info":"number node, value=1644","layer":4},{"info":"compute unary expreesion, input=1644, 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=11758, right_input=67, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=52059","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=52059, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=1736","layer":1},{"info":"compute unary expreesion, input=1736, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=2715","layer":0}],"base":5,"result_base":5,"text":"⩒∊((⇑⪆222013⫚↹⊑⇑⪆40311)≬⋮⇑⪆41322⋝⋈⪟⇑⪆241421)∘((⊀⇑⪆44010)⇮⋭(∮⇑⪆23034))=⇑⪆41330","reverse_text":"⇑⪆41330=⩒∊((⇑⪆222013⫚↹⊑⇑⪆40311)≬⋮⇑⪆41322⋝⋈⪟⇑⪆241421)∘((⊀⇑⪆44010)⇮⋭(∮⇑⪆23034))","cot":[{"info":"⇑⪆222013⫚↹⊑⇑⪆40311=⇑⪆-3242","layer":3},{"info":"⇑⪆41322⋝⋈⪟⇑⪆241421=⇑⪆41322","layer":3},{"info":"⇑⪆-3242≬⋮⇑⪆41322=⇑⪆11433","layer":2},{"info":"⊀⇑⪆44010=⇑⪆334013","layer":3},{"info":"∮⇑⪆23034=⇑⪆232","layer":3},{"info":"⇑⪆334013⇮⋭⇑⪆232=⇑⪆3131214","layer":2},{"info":"⇑⪆11433∘⇑⪆3131214=⇑⪆23421","layer":1},{"info":"⩒∊⇑⪆23421=⇑⪆41330","layer":0}]}
{"id":495,"expression_no_base_symbol":"⩒∊(($7621$∓⋝$2373$↡⊰⫅$3376$⨒$8040$)⊋≦⊧$2867$⪕$1665$≧⫂∧(↣≠⋷$1247$))","expression":"⩒∊((⇑⪆220441∓⋝⇑⪆33443↡⊰⫅⇑⪆102001⨒⇑⪆224130)⊋≦⊧⇑⪆42432⪕⇑⪆23130≧⫂∧(↣≠⋷⇑⪆14442))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":278495,"operation_count":8,"complexity_ratio":34811.875,"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":7621,"base":5},"right_expr":{"type":"numeric_atoms","value":2373,"base":5}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3376,"base":5},"right_expr":{"type":"numeric_atoms","value":8040,"base":5}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2867,"base":5},"right_expr":{"type":"numeric_atoms","value":1665,"base":5}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1247,"base":5}}}}},"used_operators":["qazvmhNBbN","oRDoc9rAEX","VCtxkLNOzz","PoHhknlbAi","y75s1iXyHd","Ph9nP6C5qx","umQnsF7QlU","Asc51vEJeQ"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7621","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=7621, right_input=2373, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=3376","layer":4},{"info":"number node, value=8040","layer":4},{"info":"compute binary expreesion, left_input=3376, right_input=8040, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-19884","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-19884, 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=2867","layer":4},{"info":"number node, value=1665","layer":4},{"info":"compute binary expreesion, left_input=2867, right_input=1665, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4970","layer":3},{"info":"number node, value=1247","layer":4},{"info":"compute unary expreesion, input=1247, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4970, 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=nan, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⩒∊((⇑⪆220441∓⋝⇑⪆33443↡⊰⫅⇑⪆102001⨒⇑⪆224130)⊋≦⊧⇑⪆42432⪕⇑⪆23130≧⫂∧(↣≠⋷⇑⪆14442))=NaN","reverse_text":"NaN=⩒∊((⇑⪆220441∓⋝⇑⪆33443↡⊰⫅⇑⪆102001⨒⇑⪆224130)⊋≦⊧⇑⪆42432⪕⇑⪆23130≧⫂∧(↣≠⋷⇑⪆14442))","cot":[{"info":"⇑⪆220441∓⋝⇑⪆33443=⇑⪆232","layer":3},{"info":"⇑⪆102001⨒⇑⪆224130=⇑⪆-1114014","layer":3},{"info":"⇑⪆232↡⊰⫅⇑⪆-1114014=NaN","layer":2},{"info":"⇑⪆42432⪕⇑⪆23130=⇑⪆124340","layer":3},{"info":"↣≠⋷⇑⪆14442=NaN","layer":3},{"info":"⇑⪆124340≧⫂∧NaN=NaN","layer":2},{"info":"NaN⊋≦⊧NaN=NaN","layer":1},{"info":"⩒∊NaN=NaN","layer":0}]}
{"id":496,"expression_no_base_symbol":"((($1852$/$7051$)⩵∡$1559$≭$3975$)⨫⇇↔($1829$⇴∐$6300$%(⊊≼∋$5452$)))⊵↤","expression":"(((⇑⪆24402/⇑⪆211201)⩵∡⇑⪆22214≭⇑⪆111400)⨫⇇↔(⇑⪆24304⇴∐⇑⪆200200%(⊊≼∋⇑⪆133302)))⊵↤","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5543,"operation_count":8,"complexity_ratio":692.875,"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":1852,"base":5},"right_expr":{"type":"numeric_atoms","value":7051,"base":5}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1559,"base":5},"right_expr":{"type":"numeric_atoms","value":3975,"base":5}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1829,"base":5},"right_expr":{"type":"numeric_atoms","value":6300,"base":5}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":5452,"base":5}}}}},"used_operators":["7IPrd9c3lf","LXhwmt4mBO","Y7wcNGrDQJ","XhwjNDsVaA","rxpJgHHUmx","k8jYdgA6NY","HnzytWxmAO","FWz7pXsQhA"],"dependent_operators":["eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","B5M0gjZbta","jCPkEVoL5K"],"result":"⇑⪆34004","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=1852","layer":4},{"info":"number node, value=7051","layer":4},{"info":"compute binary expreesion, left_input=1852, right_input=7051, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1559","layer":4},{"info":"number node, value=3975","layer":4},{"info":"compute binary expreesion, left_input=1559, right_input=3975, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"number node, value=1829","layer":4},{"info":"number node, value=6300","layer":4},{"info":"compute binary expreesion, left_input=1829, right_input=6300, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=5452","layer":4},{"info":"compute unary expreesion, input=5452, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute unary expreesion, input=-527, 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=2379","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆24402/⇑⪆211201)⩵∡⇑⪆22214≭⇑⪆111400)⨫⇇↔(⇑⪆24304⇴∐⇑⪆200200%(⊊≼∋⇑⪆133302)))⊵↤=⇑⪆34004","reverse_text":"⇑⪆34004=(((⇑⪆24402/⇑⪆211201)⩵∡⇑⪆22214≭⇑⪆111400)⨫⇇↔(⇑⪆24304⇴∐⇑⪆200200%(⊊≼∋⇑⪆133302)))⊵↤","cot":[{"info":"⇑⪆24402/⇑⪆211201=⇑⪆0","layer":3},{"info":"⇑⪆22214≭⇑⪆111400=NaN","layer":3},{"info":"⇑⪆0⩵∡NaN=NaN","layer":2},{"info":"⇑⪆24304⇴∐⇑⪆200200=NaN","layer":3},{"info":"⊊≼∋⇑⪆133302=⇑⪆-3242","layer":3},{"info":"NaN%⇑⪆-3242=NaN","layer":2},{"info":"NaN⨫⇇↔NaN=⇑⪆-4102","layer":1},{"info":"⇑⪆-4102⊵↤=⇑⪆34004","layer":0}]}
{"id":497,"expression_no_base_symbol":"≯((⊗(⨙⪌$2909$))⫑%∭)","expression":"≯((⊗(⨙⪌⇑⪆43114))⫑%∭)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1902,"operation_count":4,"complexity_ratio":475.5,"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":2909,"base":5}}}}},"used_operators":["keWfFq85dY","xUx7qlDO4z","RhiyfpczSx","vEGLkm4Z2k"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2909","layer":4},{"info":"compute unary expreesion, input=2909, 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 = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-1736","layer":2},{"info":"compute unary expreesion, input=-1736, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"≯((⊗(⨙⪌⇑⪆43114))⫑%∭)=NaN","reverse_text":"NaN=≯((⊗(⨙⪌⇑⪆43114))⫑%∭)","cot":[{"info":"⨙⪌⇑⪆43114=⇑⪆11433","layer":3},{"info":"⊗⇑⪆11433=⇑⪆-23421","layer":2},{"info":"⇑⪆-23421⫑%∭=NaN","layer":1},{"info":"≯NaN=NaN","layer":0}]}
{"id":498,"expression_no_base_symbol":"↪⫪⫘(((⩦⩻⨪$5234$)∝(≘$5188$))⨚($1421$⊍⩺⋍$1425$⪁$4386$⋕⪉⪜$2180$))","expression":"↪⫪⫘(((⩦⩻⨪⇑⪆131414)∝(≘⇑⪆131223))⨚(⇑⪆21141⊍⩺⋍⇑⪆21200⪁⇑⪆120021⋕⪉⪜⇑⪆32210))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3324,"operation_count":8,"complexity_ratio":415.5,"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":5234,"base":5}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":5188,"base":5}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1421,"base":5},"right_expr":{"type":"numeric_atoms","value":1425,"base":5}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":4386,"base":5},"right_expr":{"type":"numeric_atoms","value":2180,"base":5}}}}},"used_operators":["9dWsAM3GFt","nREPSIbpBE","cTDWOvIxvz","2td37pGCOC","tcjXMdvYtA","I7sXao9hZE","OXDGMFPWZM","z6LnFrNh4i"],"dependent_operators":["DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","BjRHVeLaeN","12rbrZMWeM","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5234","layer":4},{"info":"compute unary expreesion, input=5234, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5234","layer":3},{"info":"number node, value=5188","layer":4},{"info":"compute unary expreesion, input=5188, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=11440324","layer":3},{"info":"compute binary expreesion, left_input=5234, right_input=11440324, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5239","layer":2},{"info":"number node, value=1421","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=1421, right_input=1425, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=4386","layer":4},{"info":"number node, value=2180","layer":4},{"info":"compute binary expreesion, left_input=4386, right_input=2180, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2802, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5239, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"↪⫪⫘(((⩦⩻⨪⇑⪆131414)∝(≘⇑⪆131223))⨚(⇑⪆21141⊍⩺⋍⇑⪆21200⪁⇑⪆120021⋕⪉⪜⇑⪆32210))=NaN","reverse_text":"NaN=↪⫪⫘(((⩦⩻⨪⇑⪆131414)∝(≘⇑⪆131223))⨚(⇑⪆21141⊍⩺⋍⇑⪆21200⪁⇑⪆120021⋕⪉⪜⇑⪆32210))","cot":[{"info":"⩦⩻⨪⇑⪆131414=⇑⪆131414","layer":3},{"info":"≘⇑⪆131223=⇑⪆10412042244","layer":3},{"info":"⇑⪆131414∝⇑⪆10412042244=⇑⪆131424","layer":2},{"info":"⇑⪆21141⊍⩺⋍⇑⪆21200=NaN","layer":3},{"info":"⇑⪆120021⋕⪉⪜⇑⪆32210=⇑⪆42202","layer":3},{"info":"NaN⪁⇑⪆42202=NaN","layer":2},{"info":"⇑⪆131424⨚NaN=NaN","layer":1},{"info":"↪⫪⫘NaN=NaN","layer":0}]}
{"id":499,"expression_no_base_symbol":"((($6037$⊍)⋛($6754$⊝⪿⪼$1690$))⩌⋺(($4865$*$1486$)⪉⨛($7551$+$6730$)))∴((($2549$↸$1058$)⩌⋺(⇋↷$6840$))⋥⋵⩄($3079$⫦⪉$6719$⫲))","expression":"(((⇑⪆143122⊍)⋛(⇑⪆204004⊝⪿⪼⇑⪆23230))⩌⋺((⇑⪆123430*⇑⪆21421)⪉⨛(⇑⪆220201+⇑⪆203410)))∴(((⇑⪆40144↸⇑⪆13213)⩌⋺(⇋↷⇑⪆204330))⋥⋵⩄(⇑⪆44304⫦⪉⇑⪆203334⫲))","highest_n_order":2,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2962,"operation_count":14,"complexity_ratio":211.57142857142858,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":6037,"base":5}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":6754,"base":5},"right_expr":{"type":"numeric_atoms","value":1690,"base":5}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4865,"base":5},"right_expr":{"type":"numeric_atoms","value":1486,"base":5}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7551,"base":5},"right_expr":{"type":"numeric_atoms","value":6730,"base":5}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2549,"base":5},"right_expr":{"type":"numeric_atoms","value":1058,"base":5}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":6840,"base":5}}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":3079,"base":5},"right_expr":{"type":"numeric_atoms","value":6719,"base":5}}}}},"used_operators":["hrf7POJlIJ","g7Hmc5v1ko","YbUVn0Rbpy","3nqY3DE9mg","3Oe9XWJUTD","EWw2JM7wp4","9HNa5Wba9A","W4YGzv6Whe","7t3wd0Fuz7","1eCjFl0mb9","SWo3A1KBJH","9xnGDUPbC6","wscyQdcy20"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⇑⪆-42101100201","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6037","layer":4},{"info":"compute unary expreesion, input=6037, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=16431","layer":3},{"info":"number node, value=6754","layer":4},{"info":"number node, value=1690","layer":4},{"info":"compute binary expreesion, left_input=6754, right_input=1690, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=94266","layer":3},{"info":"compute binary expreesion, left_input=16431, right_input=94266, 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=15687","layer":2},{"info":"number node, value=4865","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=4865, right_input=1486, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7229390","layer":3},{"info":"number node, value=7551","layer":4},{"info":"number node, value=6730","layer":4},{"info":"compute binary expreesion, left_input=7551, right_input=6730, op_id = W4YGzv6Whe binary_op_definition= 'None', output=14281","layer":3},{"info":"compute binary expreesion, left_input=7229390, right_input=14281, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=21674104","layer":2},{"info":"compute binary expreesion, left_input=15687, right_input=21674104, 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=-21689912","layer":1},{"info":"number node, value=2549","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=2549, right_input=1058, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2549","layer":3},{"info":"number node, value=6840","layer":4},{"info":"compute unary expreesion, input=6840, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=54720","layer":3},{"info":"compute binary expreesion, left_input=2549, right_input=54720, 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=-57390","layer":2},{"info":"number node, value=3079","layer":4},{"info":"number node, value=6719","layer":4},{"info":"compute binary expreesion, left_input=3079, right_input=6719, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-1258","layer":3},{"info":"compute unary expreesion, input=-1258, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=2395","layer":2},{"info":"compute binary expreesion, left_input=-57390, right_input=2395, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=-21689912, right_input=113, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-43378176","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆143122⊍)⋛(⇑⪆204004⊝⪿⪼⇑⪆23230))⩌⋺((⇑⪆123430*⇑⪆21421)⪉⨛(⇑⪆220201+⇑⪆203410)))∴(((⇑⪆40144↸⇑⪆13213)⩌⋺(⇋↷⇑⪆204330))⋥⋵⩄(⇑⪆44304⫦⪉⇑⪆203334⫲))=⇑⪆-42101100201","reverse_text":"⇑⪆-42101100201=(((⇑⪆143122⊍)⋛(⇑⪆204004⊝⪿⪼⇑⪆23230))⩌⋺((⇑⪆123430*⇑⪆21421)⪉⨛(⇑⪆220201+⇑⪆203410)))∴(((⇑⪆40144↸⇑⪆13213)⩌⋺(⇋↷⇑⪆204330))⋥⋵⩄(⇑⪆44304⫦⪉⇑⪆203334⫲))","cot":[{"info":"⇑⪆143122⊍=⇑⪆1011211","layer":3},{"info":"⇑⪆204004⊝⪿⪼⇑⪆23230=⇑⪆11004031","layer":3},{"info":"⇑⪆1011211⋛⇑⪆11004031=⇑⪆1000222","layer":2},{"info":"⇑⪆123430*⇑⪆21421=⇑⪆3322320030","layer":3},{"info":"⇑⪆220201+⇑⪆203410=⇑⪆424111","layer":3},{"info":"⇑⪆3322320030⪉⨛⇑⪆424111=⇑⪆21022032404","layer":2},{"info":"⇑⪆1000222⩌⋺⇑⪆21022032404=⇑⪆-21023034122","layer":1},{"info":"⇑⪆40144↸⇑⪆13213=⇑⪆40144","layer":3},{"info":"⇋↷⇑⪆204330=⇑⪆3222340","layer":3},{"info":"⇑⪆40144⩌⋺⇑⪆3222340=⇑⪆-3314030","layer":2},{"info":"⇑⪆44304⫦⪉⇑⪆203334=⇑⪆-20013","layer":3},{"info":"⇑⪆-20013⫲=⇑⪆34040","layer":2},{"info":"⇑⪆-3314030⋥⋵⩄⇑⪆34040=⇑⪆423","layer":1},{"info":"⇑⪆-21023034122∴⇑⪆423=⇑⪆-42101100201","layer":0}]}
{"id":500,"expression_no_base_symbol":"∓⪦(⊆⋠($2974$∖$2147$)⪝($4606$↡⊰⫅$1479$))","expression":"∓⪦(⊆⋠(⇑⪆43344∖⇑⪆32042)⪝(⇑⪆121411↡⊰⫅⇑⪆21404))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":21547,"operation_count":5,"complexity_ratio":4309.4,"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":2974,"base":5},"right_expr":{"type":"numeric_atoms","value":2147,"base":5}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":4606,"base":5},"right_expr":{"type":"numeric_atoms","value":1479,"base":5}}}}},"used_operators":["D309nIvmXG","EBhcHTkKd8","wicAB68Tmb","tXD093vOjl","VCtxkLNOzz"],"dependent_operators":["P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"⇑⪆-13300","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2974","layer":4},{"info":"number node, value=2147","layer":4},{"info":"compute binary expreesion, left_input=2974, right_input=2147, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=4606","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=4606, right_input=1479, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2958","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2958, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":2},{"info":"compute unary expreesion, input=237, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=348","layer":1},{"info":"compute unary expreesion, input=348, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-1075","layer":0}],"base":5,"result_base":5,"text":"∓⪦(⊆⋠(⇑⪆43344∖⇑⪆32042)⪝(⇑⪆121411↡⊰⫅⇑⪆21404))=⇑⪆-13300","reverse_text":"⇑⪆-13300=∓⪦(⊆⋠(⇑⪆43344∖⇑⪆32042)⪝(⇑⪆121411↡⊰⫅⇑⪆21404))","cot":[{"info":"⇑⪆43344∖⇑⪆32042=⇑⪆0","layer":3},{"info":"⇑⪆121411↡⊰⫅⇑⪆21404=⇑⪆43313","layer":3},{"info":"⇑⪆0⪝⇑⪆43313=⇑⪆1422","layer":2},{"info":"⊆⋠⇑⪆1422=⇑⪆2343","layer":1},{"info":"∓⪦⇑⪆2343=⇑⪆-13300","layer":0}]}
{"id":501,"expression_no_base_symbol":"⊈((⨮↦↱($2377$⪒⊣⊆$1099$))⪛⫼(⇜⊴(⨡↴$5567$)))","expression":"⊈((⨮↦↱(⇑⪆34002⪒⊣⊆⇑⪆13344))⪛⫼(⇜⊴(⨡↴⇑⪆134232)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1073103,"operation_count":6,"complexity_ratio":178850.5,"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":2377,"base":5},"right_expr":{"type":"numeric_atoms","value":1099,"base":5}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":5567,"base":5}}}}},"used_operators":["RHru8klgy8","hyuBjUqXlG","sYcpBQ0cFf","eRqsBgTDFp","XwDhCwWbUn","liw5iZPkLH"],"dependent_operators":["12rbrZMWeM","xUOZtlo3hN","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","sdazOOVcIp","W4YGzv6Whe","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","P8v4zCKN1o"],"result":"⇑⪆12013","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2377","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=2377, right_input=1099, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4754","layer":3},{"info":"compute unary expreesion, input=4754, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-54499506","layer":2},{"info":"number node, value=5567","layer":4},{"info":"compute unary expreesion, input=5567, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=6616","layer":3},{"info":"compute unary expreesion, input=6616, 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=-1547662","layer":2},{"info":"compute binary expreesion, left_input=-54499506, right_input=-1547662, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1057","layer":1},{"info":"compute unary expreesion, input=-1057, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=883","layer":0}],"base":5,"result_base":5,"text":"⊈((⨮↦↱(⇑⪆34002⪒⊣⊆⇑⪆13344))⪛⫼(⇜⊴(⨡↴⇑⪆134232)))=⇑⪆12013","reverse_text":"⇑⪆12013=⊈((⨮↦↱(⇑⪆34002⪒⊣⊆⇑⪆13344))⪛⫼(⇜⊴(⨡↴⇑⪆134232)))","cot":[{"info":"⇑⪆34002⪒⊣⊆⇑⪆13344=⇑⪆123004","layer":3},{"info":"⨮↦↱⇑⪆123004=⇑⪆-102422441011","layer":2},{"info":"⨡↴⇑⪆134232=⇑⪆202431","layer":3},{"info":"⇜⊴⇑⪆202431=⇑⪆-344011122","layer":2},{"info":"⇑⪆-102422441011⪛⫼⇑⪆-344011122=⇑⪆-13212","layer":1},{"info":"⊈⇑⪆-13212=⇑⪆12013","layer":0}]}
{"id":502,"expression_no_base_symbol":"(⩏⊷≩(⇖⫷⫕$4188$)≁↽≥($1199$⇂≾⫗$4635$))⊦⊿","expression":"(⩏⊷≩(⇖⫷⫕⇑⪆113223)≁↽≥(⇑⪆14244⇂≾⫗⇑⪆122020))⊦⊿","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1576,"operation_count":5,"complexity_ratio":315.2,"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":4188,"base":5}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1199,"base":5},"right_expr":{"type":"numeric_atoms","value":4635,"base":5}}}}},"used_operators":["14qkJME0vr","uOZ1tnYMDE","ncHt1X6cMc","UHmRx3INFg","aBQ6xLxuTc"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","12rbrZMWeM","oWn0xqSxBt","3Oe9XWJUTD","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"⇑⪆3211","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4188","layer":4},{"info":"compute unary expreesion, input=4188, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=1199","layer":4},{"info":"number node, value=4635","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=4635, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-676, 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 = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=-170","layer":1},{"info":"compute unary expreesion, input=-170, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=431","layer":0}],"base":5,"result_base":5,"text":"(⩏⊷≩(⇖⫷⫕⇑⪆113223)≁↽≥(⇑⪆14244⇂≾⫗⇑⪆122020))⊦⊿=⇑⪆3211","reverse_text":"⇑⪆3211=(⩏⊷≩(⇖⫷⫕⇑⪆113223)≁↽≥(⇑⪆14244⇂≾⫗⇑⪆122020))⊦⊿","cot":[{"info":"⇖⫷⫕⇑⪆113223=⇑⪆42242","layer":3},{"info":"⇑⪆14244⇂≾⫗⇑⪆122020=⇑⪆-10201","layer":3},{"info":"⇑⪆42242≁↽≥⇑⪆-10201=⇑⪆1241","layer":2},{"info":"⩏⊷≩⇑⪆1241=⇑⪆-1140","layer":1},{"info":"⇑⪆-1140⊦⊿=⇑⪆3211","layer":0}]}
{"id":503,"expression_no_base_symbol":"((⇵⪽($1165$∌$6567$))⫸⊐(($1102$⩘⨬⇊)⪓⨏))↹⊜((⊥$1680$)⪶≀⋏(∷≠$4824$)⨉)","expression":"((⇵⪽(⇑⪆14130∌⇑⪆202232))⫸⊐((⇑⪆13402⩘⨬⇊)⪓⨏))↹⊜((⊥⇑⪆23210)⪶≀⋏(∷≠⇑⪆123244)⨉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1412,"operation_count":10,"complexity_ratio":141.2,"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":1165,"base":5},"right_expr":{"type":"numeric_atoms","value":6567,"base":5}}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":1102,"base":5}}}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1680,"base":5}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":4824,"base":5}}}}},"used_operators":["9bazX3JMtO","mqXw5SEYmG","ZGCBLdVRRX","8cLx32lpNA","4X9JU4Jbn6","XXmTpEpWTW","aMUSaJuDRU","zR4jO40bMj","Q3PJZHRvZv","QiR2Oyf5Xj"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","U7g4x0WXJJ","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","fu6greOZ01","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1165","layer":4},{"info":"number node, value=6567","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=6567, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-6567","layer":3},{"info":"compute unary expreesion, input=-6567, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"number node, value=1102","layer":4},{"info":"compute unary expreesion, input=1102, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', 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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=1680","layer":4},{"info":"compute unary expreesion, input=1680, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=4824","layer":4},{"info":"compute unary expreesion, input=4824, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=4824","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4824, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=nan","layer":1},{"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":0}],"base":5,"result_base":5,"text":"((⇵⪽(⇑⪆14130∌⇑⪆202232))⫸⊐((⇑⪆13402⩘⨬⇊)⪓⨏))↹⊜((⊥⇑⪆23210)⪶≀⋏(∷≠⇑⪆123244)⨉)=NaN","reverse_text":"NaN=((⇵⪽(⇑⪆14130∌⇑⪆202232))⫸⊐((⇑⪆13402⩘⨬⇊)⪓⨏))↹⊜((⊥⇑⪆23210)⪶≀⋏(∷≠⇑⪆123244)⨉)","cot":[{"info":"⇑⪆14130∌⇑⪆202232=⇑⪆-202232","layer":3},{"info":"⇵⪽⇑⪆-202232=NaN","layer":2},{"info":"⇑⪆13402⩘⨬⇊=NaN","layer":3},{"info":"NaN⪓⨏=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"⊥⇑⪆23210=NaN","layer":3},{"info":"∷≠⇑⪆123244=⇑⪆123244","layer":3},{"info":"NaN⪶≀⋏⇑⪆123244=NaN","layer":2},{"info":"NaN⨉=NaN","layer":1},{"info":"NaN↹⊜NaN=NaN","layer":0}]}
{"id":504,"expression_no_base_symbol":"∷≠(⊖(⩷⨜⫀($3872$↹⊜$1570$)))","expression":"∷≠(⊖(⩷⨜⫀(⇑⪆110442↹⊜⇑⪆22240)))","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":41,"operation_count":4,"complexity_ratio":10.25,"tree":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":3872,"base":5},"right_expr":{"type":"numeric_atoms","value":1570,"base":5}}}}},"used_operators":["QiR2Oyf5Xj","U6pG0PXrV3","CDi0ktkjQ4","9bazX3JMtO"],"dependent_operators":["7j4O788W3g","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","ruOEQAzv1W","nhYeJWJD5X","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"⇑⪆101120","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3872","layer":4},{"info":"number node, value=1570","layer":4},{"info":"compute binary expreesion, left_input=3872, right_input=1570, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=1368","layer":3},{"info":"compute unary expreesion, input=1368, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1095","layer":2},{"info":"compute unary expreesion, input=-1095, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=3285","layer":1},{"info":"compute unary expreesion, input=3285, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=3285","layer":0}],"base":5,"result_base":5,"text":"∷≠(⊖(⩷⨜⫀(⇑⪆110442↹⊜⇑⪆22240)))=⇑⪆101120","reverse_text":"⇑⪆101120=∷≠(⊖(⩷⨜⫀(⇑⪆110442↹⊜⇑⪆22240)))","cot":[{"info":"⇑⪆110442↹⊜⇑⪆22240=⇑⪆20433","layer":3},{"info":"⩷⨜⫀⇑⪆20433=⇑⪆-13340","layer":2},{"info":"⊖⇑⪆-13340=⇑⪆101120","layer":1},{"info":"∷≠⇑⪆101120=⇑⪆101120","layer":0}]}
{"id":505,"expression_no_base_symbol":"⊈(≔($1049$∥⊢⊲$4864$⨱∎))","expression":"⊈(≔(⇑⪆13144∥⊢⊲⇑⪆123424⨱∎))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":48,"operation_count":4,"complexity_ratio":12.0,"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":1049,"base":5},"right_expr":{"type":"numeric_atoms","value":4864,"base":5}}}}},"used_operators":["RHru8klgy8","8FLs4eVsLt","MmTdOpaElr","v1UQAVDJRr"],"dependent_operators":["12rbrZMWeM","xUOZtlo3hN","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","tifHPKVTfV","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=1049","layer":4},{"info":"number node, value=4864","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=4864, 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 = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⊈(≔(⇑⪆13144∥⊢⊲⇑⪆123424⨱∎))=NaN","reverse_text":"NaN=⊈(≔(⇑⪆13144∥⊢⊲⇑⪆123424⨱∎))","cot":[{"info":"⇑⪆13144∥⊢⊲⇑⪆123424=NaN","layer":3},{"info":"NaN⨱∎=NaN","layer":2},{"info":"≔NaN=NaN","layer":1},{"info":"⊈NaN=NaN","layer":0}]}
{"id":506,"expression_no_base_symbol":"(((⩷$2250$)⪢$3082$⇂≾⫗$2455$)⩼⇪↪(($5471$⊨$1393$)⪮%⊝($6885$⇼⇔∾$2155$)))⊮⊟↴((⊢≑≆($2900$≝⊿$2619$))∘($1235$≠≀$1271$%$1759$⊉≛↸$1541$))","expression":"(((⩷⇑⪆33000)⪢⇑⪆44312⇂≾⫗⇑⪆34310)⩼⇪↪((⇑⪆133341⊨⇑⪆21033)⪮%⊝(⇑⪆210020⇼⇔∾⇑⪆32110)))⊮⊟↴((⊢≑≆(⇑⪆43100≝⊿⇑⪆40434))∘(⇑⪆14420≠≀⇑⪆20041%⇑⪆24014⊉≛↸⇑⪆22131))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4722,"operation_count":14,"complexity_ratio":337.2857142857143,"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":2250,"base":5}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3082,"base":5},"right_expr":{"type":"numeric_atoms","value":2455,"base":5}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":5471,"base":5},"right_expr":{"type":"numeric_atoms","value":1393,"base":5}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6885,"base":5},"right_expr":{"type":"numeric_atoms","value":2155,"base":5}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2900,"base":5},"right_expr":{"type":"numeric_atoms","value":2619,"base":5}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1235,"base":5},"right_expr":{"type":"numeric_atoms","value":1271,"base":5}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1759,"base":5},"right_expr":{"type":"numeric_atoms","value":1541,"base":5}}}}},"used_operators":["QDVgd2eftb","ocnLzx9CaJ","dWAJyo7jo9","1h0rLqGiFr","aBQ6xLxuTc","IWmyXbctLI","vg4gO5BX6G","tifHPKVTfV","Z5m6OM72h2","27wFxooxGf","OKKcZfAt5B","k8jYdgA6NY","IwW236VD4Y","DZ8iAZOCBD"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","k8jYdgA6NY","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","12rbrZMWeM","rysDP5nf3Z","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2250","layer":4},{"info":"compute unary expreesion, input=2250, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-27079","layer":3},{"info":"number node, value=3082","layer":4},{"info":"number node, value=2455","layer":4},{"info":"compute binary expreesion, left_input=3082, right_input=2455, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-27079, right_input=-676, 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=5471","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=5471, right_input=1393, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=22915","layer":3},{"info":"number node, value=6885","layer":4},{"info":"number node, value=2155","layer":4},{"info":"compute binary expreesion, left_input=6885, right_input=2155, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4730","layer":3},{"info":"compute binary expreesion, left_input=22915, right_input=-4730, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=46146","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=46146, 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=2900","layer":4},{"info":"number node, value=2619","layer":4},{"info":"compute binary expreesion, left_input=2900, right_input=2619, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8671","layer":3},{"info":"compute unary expreesion, input=-8671, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=17535","layer":2},{"info":"number node, value=1235","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=1235, right_input=1271, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2164","layer":3},{"info":"number node, value=1759","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=1759, right_input=1541, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3518","layer":3},{"info":"compute binary expreesion, left_input=-2164, right_input=3518, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1354","layer":2},{"info":"compute binary expreesion, left_input=17535, right_input=1354, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=35070","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=35070, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"(((⩷⇑⪆33000)⪢⇑⪆44312⇂≾⫗⇑⪆34310)⩼⇪↪((⇑⪆133341⊨⇑⪆21033)⪮%⊝(⇑⪆210020⇼⇔∾⇑⪆32110)))⊮⊟↴((⊢≑≆(⇑⪆43100≝⊿⇑⪆40434))∘(⇑⪆14420≠≀⇑⪆20041%⇑⪆24014⊉≛↸⇑⪆22131))=⇑⪆0","reverse_text":"⇑⪆0=(((⩷⇑⪆33000)⪢⇑⪆44312⇂≾⫗⇑⪆34310)⩼⇪↪((⇑⪆133341⊨⇑⪆21033)⪮%⊝(⇑⪆210020⇼⇔∾⇑⪆32110)))⊮⊟↴((⊢≑≆(⇑⪆43100≝⊿⇑⪆40434))∘(⇑⪆14420≠≀⇑⪆20041%⇑⪆24014⊉≛↸⇑⪆22131))","cot":[{"info":"⩷⇑⪆33000=⇑⪆-1331304","layer":3},{"info":"⇑⪆44312⇂≾⫗⇑⪆34310=⇑⪆-10201","layer":3},{"info":"⇑⪆-1331304⪢⇑⪆-10201=NaN","layer":2},{"info":"⇑⪆133341⊨⇑⪆21033=⇑⪆1213130","layer":3},{"info":"⇑⪆210020⇼⇔∾⇑⪆32110=⇑⪆-122410","layer":3},{"info":"⇑⪆1213130⪮%⊝⇑⪆-122410=⇑⪆2434041","layer":2},{"info":"NaN⩼⇪↪⇑⪆2434041=NaN","layer":1},{"info":"⇑⪆43100≝⊿⇑⪆40434=⇑⪆-234141","layer":3},{"info":"⊢≑≆⇑⪆-234141=⇑⪆1030120","layer":2},{"info":"⇑⪆14420≠≀⇑⪆20041=⇑⪆-32124","layer":3},{"info":"⇑⪆24014⊉≛↸⇑⪆22131=⇑⪆103033","layer":3},{"info":"⇑⪆-32124%⇑⪆103033=⇑⪆20404","layer":2},{"info":"⇑⪆1030120∘⇑⪆20404=⇑⪆2110240","layer":1},{"info":"NaN⊮⊟↴⇑⪆2110240=⇑⪆0","layer":0}]}
{"id":507,"expression_no_base_symbol":"(((⩰$4455$)⊋≦⊧($6963$⩺⪪$1389$))∀⊥⇻)∛(($1376$⨰$5710$)⊱⇼⊻($3355$⪊≅)⨽($3737$≃⋄)⫒⫫$1546$⊝⪿⪼$5089$)","expression":"(((⩰⇑⪆120310)⊋≦⊧(⇑⪆210323⩺⪪⇑⪆21024))∀⊥⇻)∛((⇑⪆21001⨰⇑⪆140320)⊱⇼⊻(⇑⪆101410⪊≅)⨽(⇑⪆104422≃⋄)⫒⫫⇑⪆22141⊝⪿⪼⇑⪆130324)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":615576,"operation_count":12,"complexity_ratio":51298.0,"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":4455,"base":5}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":6963,"base":5},"right_expr":{"type":"numeric_atoms","value":1389,"base":5}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1376,"base":5},"right_expr":{"type":"numeric_atoms","value":5710,"base":5}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":3355,"base":5}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":3737,"base":5}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1546,"base":5},"right_expr":{"type":"numeric_atoms","value":5089,"base":5}}}}},"used_operators":["w2537kitQq","k4iM1060OG","oRDoc9rAEX","WkeUrDK8WX","uvdQJvN4PV","8HhzD0ZcuI","FyVja0WsTP","eewbuw0ToL","bjFbhXSADs","6Ko8hGgeMq","aN9a90urxU","3Oe9XWJUTD"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","uFcxV4UQCh","jLgFTUHLKL","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⇑⪆232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4455","layer":4},{"info":"compute unary expreesion, input=4455, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-5455","layer":3},{"info":"number node, value=6963","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=6963, right_input=1389, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-90082","layer":3},{"info":"compute binary expreesion, left_input=-5455, right_input=-90082, 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 = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":1},{"info":"number node, value=1376","layer":4},{"info":"number node, value=5710","layer":4},{"info":"compute binary expreesion, left_input=1376, right_input=5710, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4324","layer":3},{"info":"number node, value=3355","layer":4},{"info":"compute unary expreesion, input=3355, 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=-4324, right_input=0, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=-14494","layer":2},{"info":"number node, value=3737","layer":4},{"info":"compute unary expreesion, input=3737, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"number node, value=1546","layer":4},{"info":"number node, value=5089","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=5089, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=33122","layer":3},{"info":"compute binary expreesion, left_input=764, right_input=33122, 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=-14494, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, 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":5,"result_base":5,"text":"(((⩰⇑⪆120310)⊋≦⊧(⇑⪆210323⩺⪪⇑⪆21024))∀⊥⇻)∛((⇑⪆21001⨰⇑⪆140320)⊱⇼⊻(⇑⪆101410⪊≅)⨽(⇑⪆104422≃⋄)⫒⫫⇑⪆22141⊝⪿⪼⇑⪆130324)=⇑⪆232","reverse_text":"⇑⪆232=(((⩰⇑⪆120310)⊋≦⊧(⇑⪆210323⩺⪪⇑⪆21024))∀⊥⇻)∛((⇑⪆21001⨰⇑⪆140320)⊱⇼⊻(⇑⪆101410⪊≅)⨽(⇑⪆104422≃⋄)⫒⫫⇑⪆22141⊝⪿⪼⇑⪆130324)","cot":[{"info":"⩰⇑⪆120310=⇑⪆-133310","layer":3},{"info":"⇑⪆210323⩺⪪⇑⪆21024=⇑⪆-10340312","layer":3},{"info":"⇑⪆-133310⊋≦⊧⇑⪆-10340312=⇑⪆1232","layer":2},{"info":"⇑⪆1232∀⊥⇻=⇑⪆0","layer":1},{"info":"⇑⪆21001⨰⇑⪆140320=⇑⪆-114244","layer":3},{"info":"⇑⪆101410⪊≅=⇑⪆0","layer":3},{"info":"⇑⪆-114244⊱⇼⊻⇑⪆0=⇑⪆-430434","layer":2},{"info":"⇑⪆104422≃⋄=⇑⪆11024","layer":3},{"info":"⇑⪆22141⊝⪿⪼⇑⪆130324=⇑⪆2024442","layer":3},{"info":"⇑⪆11024⫒⫫⇑⪆2024442=NaN","layer":2},{"info":"⇑⪆-430434⨽NaN=NaN","layer":1},{"info":"⇑⪆0∛NaN=⇑⪆232","layer":0}]}
{"id":508,"expression_no_base_symbol":"(⨦⪝(≻⋜($6512$⪉⨛$3947$)))↙((≋($2558$⋝⋈⪟$1579$))⊍⩺⋍(∜⨇(⨡↴$2093$)))","expression":"(⨦⪝(≻⋜(⇑⪆202022⪉⨛⇑⪆111242)))↙((≋(⇑⪆40213⋝⋈⪟⇑⪆22304))⊍⩺⋍(∜⨇(⨡↴⇑⪆31333)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":84539,"operation_count":9,"complexity_ratio":9393.222222222223,"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":6512,"base":5},"right_expr":{"type":"numeric_atoms","value":3947,"base":5}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2558,"base":5},"right_expr":{"type":"numeric_atoms","value":1579,"base":5}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":2093,"base":5}}}}},"used_operators":["yyfyN0ffXY","SUjycxNXIR","3tj9sqzovi","EWw2JM7wp4","OXDGMFPWZM","61wBmkZwlr","2DDjHMKMc0","uFPyJr306J","liw5iZPkLH"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","W4YGzv6Whe","P8v4zCKN1o"],"result":"⇑⪆-30014","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6512","layer":4},{"info":"number node, value=3947","layer":4},{"info":"compute binary expreesion, left_input=6512, right_input=3947, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=15804","layer":3},{"info":"compute unary expreesion, input=15804, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', 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":"number node, value=2558","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=2558, right_input=1579, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2558","layer":3},{"info":"compute unary expreesion, input=2558, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=2558","layer":2},{"info":"number node, value=2093","layer":4},{"info":"compute unary expreesion, input=2093, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=3142","layer":3},{"info":"compute unary expreesion, input=3142, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2558, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1884, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1884","layer":0}],"base":5,"result_base":5,"text":"(⨦⪝(≻⋜(⇑⪆202022⪉⨛⇑⪆111242)))↙((≋(⇑⪆40213⋝⋈⪟⇑⪆22304))⊍⩺⋍(∜⨇(⨡↴⇑⪆31333)))=⇑⪆-30014","reverse_text":"⇑⪆-30014=(⨦⪝(≻⋜(⇑⪆202022⪉⨛⇑⪆111242)))↙((≋(⇑⪆40213⋝⋈⪟⇑⪆22304))⊍⩺⋍(∜⨇(⨡↴⇑⪆31333)))","cot":[{"info":"⇑⪆202022⪉⨛⇑⪆111242=⇑⪆1001204","layer":3},{"info":"≻⋜⇑⪆1001204=NaN","layer":2},{"info":"⨦⪝NaN=⇑⪆-30014","layer":1},{"info":"⇑⪆40213⋝⋈⪟⇑⪆22304=⇑⪆40213","layer":3},{"info":"≋⇑⪆40213=⇑⪆40213","layer":2},{"info":"⨡↴⇑⪆31333=⇑⪆100032","layer":3},{"info":"∜⨇⇑⪆100032=NaN","layer":2},{"info":"⇑⪆40213⊍⩺⋍NaN=NaN","layer":1},{"info":"⇑⪆-30014↙NaN=⇑⪆-30014","layer":0}]}
{"id":509,"expression_no_base_symbol":"(≇⪴(($7479$⫃⨇$2817$)⪶≀⋏(↘$6988$)))⨎($2054$≝⊿$1103$↱$1720$+⪬∐$1662$∷(⪸(⨦⪝$8720$)))","expression":"(≇⪴((⇑⪆214404⫃⨇⇑⪆42232)⪶≀⋏(↘⇑⪆210423)))⨎(⇑⪆31204≝⊿⇑⪆13403↱⇑⪆23340+⪬∐⇑⪆23122∷(⪸(⨦⪝⇑⪆234340)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":183,"operation_count":11,"complexity_ratio":16.636363636363637,"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":7479,"base":5},"right_expr":{"type":"numeric_atoms","value":2817,"base":5}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":6988,"base":5}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2054,"base":5},"right_expr":{"type":"numeric_atoms","value":1103,"base":5}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1720,"base":5},"right_expr":{"type":"numeric_atoms","value":1662,"base":5}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":8720,"base":5}}}}},"used_operators":["rJVOvQCfKK","zoVPnxeHJ3","zR4jO40bMj","09Ly4LVMIf","LdNpr8hQHL","D3AQDKkPcf","SR5kFfdi6N","OKKcZfAt5B","2GS7woTJqF","86A5ENbKR9","SUjycxNXIR"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","uFcxV4UQCh","9FxExcQeMw","NTOWxs364D","7j4O788W3g","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","12rbrZMWeM","g55IO6H4Gj","D4vGDi5EA2","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7"],"result":"⇑⪆1020232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7479","layer":4},{"info":"number node, value=2817","layer":4},{"info":"compute binary expreesion, left_input=7479, right_input=2817, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-11300","layer":3},{"info":"number node, value=6988","layer":4},{"info":"compute unary expreesion, input=6988, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=324","layer":3},{"info":"compute binary expreesion, left_input=-11300, right_input=324, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=2592","layer":2},{"info":"compute unary expreesion, input=2592, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-6436","layer":1},{"info":"number node, value=2054","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=2054, right_input=1103, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-4793","layer":3},{"info":"number node, value=1720","layer":4},{"info":"number node, value=1662","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=1662, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-5160","layer":3},{"info":"compute binary expreesion, left_input=-4793, right_input=-5160, 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=-25968","layer":2},{"info":"number node, value=8720","layer":4},{"info":"compute unary expreesion, input=8720, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute unary expreesion, input=-1884, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=16942","layer":2},{"info":"compute binary expreesion, left_input=-25968, right_input=16942, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=16942","layer":1},{"info":"compute binary expreesion, left_input=-6436, right_input=16942, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=16942","layer":0}],"base":5,"result_base":5,"text":"(≇⪴((⇑⪆214404⫃⨇⇑⪆42232)⪶≀⋏(↘⇑⪆210423)))⨎(⇑⪆31204≝⊿⇑⪆13403↱⇑⪆23340+⪬∐⇑⪆23122∷(⪸(⨦⪝⇑⪆234340)))=⇑⪆1020232","reverse_text":"⇑⪆1020232=(≇⪴((⇑⪆214404⫃⨇⇑⪆42232)⪶≀⋏(↘⇑⪆210423)))⨎(⇑⪆31204≝⊿⇑⪆13403↱⇑⪆23340+⪬∐⇑⪆23122∷(⪸(⨦⪝⇑⪆234340)))","cot":[{"info":"⇑⪆214404⫃⨇⇑⪆42232=⇑⪆-330200","layer":3},{"info":"↘⇑⪆210423=⇑⪆2244","layer":3},{"info":"⇑⪆-330200⪶≀⋏⇑⪆2244=⇑⪆40332","layer":2},{"info":"≇⪴⇑⪆40332=⇑⪆-201221","layer":1},{"info":"⇑⪆31204≝⊿⇑⪆13403=⇑⪆-123133","layer":3},{"info":"⇑⪆23340+⪬∐⇑⪆23122=⇑⪆-131120","layer":3},{"info":"⇑⪆-123133↱⇑⪆-131120=⇑⪆-1312333","layer":2},{"info":"⨦⪝⇑⪆234340=⇑⪆-30014","layer":3},{"info":"⪸⇑⪆-30014=⇑⪆1020232","layer":2},{"info":"⇑⪆-1312333∷⇑⪆1020232=⇑⪆1020232","layer":1},{"info":"⇑⪆-201221⨎⇑⪆1020232=⇑⪆1020232","layer":0}]}
{"id":510,"expression_no_base_symbol":"(⨛(⫓⪴$3640$≀⫉$2722$))⊉↱≁(⊵⊁(($1257$⫚↹⊑$4977$)⫒⫫($1433$≎⊠⪸$1655$)))","expression":"(⨛(⫓⪴⇑⪆104030≀⫉⇑⪆41342))⊉↱≁(⊵⊁((⇑⪆20012⫚↹⊑⇑⪆124402)⫒⫫(⇑⪆21213≎⊠⪸⇑⪆23110)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3361,"operation_count":8,"complexity_ratio":420.125,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3640,"base":5},"right_expr":{"type":"numeric_atoms","value":2722,"base":5}}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1257,"base":5},"right_expr":{"type":"numeric_atoms","value":4977,"base":5}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1433,"base":5},"right_expr":{"type":"numeric_atoms","value":1655,"base":5}}}}},"used_operators":["w2P8NbNXyL","CoMdbyAt7R","eLxqMNBOBk","oZj3VtZNQx","AvED76WdY7","6Ko8hGgeMq","dfKe02y8D2","bJkvcejdHO"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","9HNa5Wba9A","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","uBihLCJcMX","k8jYdgA6NY","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3640","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=3640, right_input=2722, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=7963684","layer":2},{"info":"compute unary expreesion, input=7963684, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"number node, value=1257","layer":4},{"info":"number node, value=4977","layer":4},{"info":"compute binary expreesion, left_input=1257, right_input=4977, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=1433","layer":4},{"info":"number node, value=1655","layer":4},{"info":"compute binary expreesion, left_input=1433, right_input=1655, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=370674","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=370674, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=-739077","layer":2},{"info":"compute unary expreesion, input=-739077, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⨛(⫓⪴⇑⪆104030≀⫉⇑⪆41342))⊉↱≁(⊵⊁((⇑⪆20012⫚↹⊑⇑⪆124402)⫒⫫(⇑⪆21213≎⊠⪸⇑⪆23110)))=NaN","reverse_text":"NaN=(⨛(⫓⪴⇑⪆104030≀⫉⇑⪆41342))⊉↱≁(⊵⊁((⇑⪆20012⫚↹⊑⇑⪆124402)⫒⫫(⇑⪆21213≎⊠⪸⇑⪆23110)))","cot":[{"info":"⇑⪆104030≀⫉⇑⪆41342=⇑⪆42242","layer":3},{"info":"⫓⪴⇑⪆42242=⇑⪆4014314214","layer":2},{"info":"⨛⇑⪆4014314214=NaN","layer":1},{"info":"⇑⪆20012⫚↹⊑⇑⪆124402=⇑⪆-3242","layer":3},{"info":"⇑⪆21213≎⊠⪸⇑⪆23110=⇑⪆43330144","layer":3},{"info":"⇑⪆-3242⫒⫫⇑⪆43330144=⇑⪆-142122302","layer":2},{"info":"⊵⊁⇑⪆-142122302=⇑⪆0","layer":1},{"info":"NaN⊉↱≁⇑⪆0=NaN","layer":0}]}
{"id":511,"expression_no_base_symbol":"⨭⩧⫛($1109$⇡⇂$6608$⇻⋧≁($1107$⇗⋫)⨸⪁($1796$⫔⩽⩺$2343$)≒∊(⫓⪴$2221$))","expression":"⨭⩧⫛(⇑⪆13414⇡⇂⇑⪆202413⇻⋧≁(⇑⪆13412⇗⋫)⨸⪁(⇑⪆24141⫔⩽⩺⇑⪆33333)≒∊(⫓⪴⇑⪆32341))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":37603,"operation_count":8,"complexity_ratio":4700.375,"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":1109,"base":5},"right_expr":{"type":"numeric_atoms","value":6608,"base":5}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":1107,"base":5}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1796,"base":5},"right_expr":{"type":"numeric_atoms","value":2343,"base":5}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2221,"base":5}}}}},"used_operators":["g21JL6JxX7","g55IO6H4Gj","jCPkEVoL5K","UMwdvZNt44","hpqmaQFPrd","5KTvxBwnZo","i9eR4S00cU","eLxqMNBOBk"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","W4YGzv6Whe","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rxpJgHHUmx","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","Tw270M8GLb","fu6greOZ01","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1109","layer":4},{"info":"number node, value=6608","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=6608, 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=1107","layer":4},{"info":"compute unary expreesion, input=1107, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"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":2},{"info":"number node, value=1796","layer":4},{"info":"number node, value=2343","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=2343, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=2221","layer":4},{"info":"compute unary expreesion, input=2221, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4932841","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4932841, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⨭⩧⫛(⇑⪆13414⇡⇂⇑⪆202413⇻⋧≁(⇑⪆13412⇗⋫)⨸⪁(⇑⪆24141⫔⩽⩺⇑⪆33333)≒∊(⫓⪴⇑⪆32341))=NaN","reverse_text":"NaN=⨭⩧⫛(⇑⪆13414⇡⇂⇑⪆202413⇻⋧≁(⇑⪆13412⇗⋫)⨸⪁(⇑⪆24141⫔⩽⩺⇑⪆33333)≒∊(⫓⪴⇑⪆32341))","cot":[{"info":"⇑⪆13414⇡⇂⇑⪆202413=NaN","layer":3},{"info":"⇑⪆13412⇗⋫=NaN","layer":3},{"info":"NaN⇻⋧≁NaN=NaN","layer":2},{"info":"⇑⪆24141⫔⩽⩺⇑⪆33333=NaN","layer":3},{"info":"⫓⪴⇑⪆32341=⇑⪆2230322331","layer":3},{"info":"NaN≒∊⇑⪆2230322331=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"⨭⩧⫛NaN=NaN","layer":0}]}
{"id":512,"expression_no_base_symbol":"(($3582$∪⫐$2308$⫚↹⊑($1179$⩉⊫⨁))↸(↓⇌$2033$)⊢($3636$≎⊠⪸$5423$))≝⊰⇂","expression":"((⇑⪆103312∪⫐⇑⪆33213⫚↹⊑(⇑⪆14204⩉⊫⨁))↸(↓⇌⇑⪆31113)⊢(⇑⪆104021≎⊠⪸⇑⪆133143))≝⊰⇂","highest_n_order":4,"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":3582,"base":5},"right_expr":{"type":"numeric_atoms","value":2308,"base":5}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":1179,"base":5}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2033,"base":5}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3636,"base":5},"right_expr":{"type":"numeric_atoms","value":5423,"base":5}}}}},"used_operators":["htSmYCowi5","1eCjFl0mb9","dfKe02y8D2","7YooWSwCyH","7qqUquhhSb","5twsqlHp2o","PxpmPgHHJV","bJkvcejdHO"],"dependent_operators":["9FxExcQeMw","DlLNRPXxWL","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rJVOvQCfKK","2DDjHMKMc0","7j4O788W3g","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⇑⪆-13103","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3582","layer":4},{"info":"number node, value=2308","layer":4},{"info":"compute binary expreesion, left_input=3582, right_input=2308, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3582","layer":3},{"info":"number node, value=1179","layer":4},{"info":"compute unary expreesion, input=1179, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=1179","layer":3},{"info":"compute binary expreesion, left_input=3582, right_input=1179, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=2033","layer":4},{"info":"compute unary expreesion, input=2033, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2033","layer":3},{"info":"number node, value=3636","layer":4},{"info":"number node, value=5423","layer":4},{"info":"compute binary expreesion, left_input=3636, right_input=5423, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=941251","layer":3},{"info":"compute binary expreesion, left_input=2033, right_input=941251, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4310","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-4310, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=-1028","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆103312∪⫐⇑⪆33213⫚↹⊑(⇑⪆14204⩉⊫⨁))↸(↓⇌⇑⪆31113)⊢(⇑⪆104021≎⊠⪸⇑⪆133143))≝⊰⇂=⇑⪆-13103","reverse_text":"⇑⪆-13103=((⇑⪆103312∪⫐⇑⪆33213⫚↹⊑(⇑⪆14204⩉⊫⨁))↸(↓⇌⇑⪆31113)⊢(⇑⪆104021≎⊠⪸⇑⪆133143))≝⊰⇂","cot":[{"info":"⇑⪆103312∪⫐⇑⪆33213=⇑⪆103312","layer":3},{"info":"⇑⪆14204⩉⊫⨁=⇑⪆14204","layer":3},{"info":"⇑⪆103312⫚↹⊑⇑⪆14204=⇑⪆-3242","layer":2},{"info":"↓⇌⇑⪆31113=⇑⪆31113","layer":3},{"info":"⇑⪆104021≎⊠⪸⇑⪆133143=⇑⪆220110001","layer":3},{"info":"⇑⪆31113⊢⇑⪆220110001=⇑⪆-114220","layer":2},{"info":"⇑⪆-3242↸⇑⪆-114220=⇑⪆-3242","layer":1},{"info":"⇑⪆-3242≝⊰⇂=⇑⪆-13103","layer":0}]}
{"id":513,"expression_no_base_symbol":"(($2581$⇋≉)∝$1234$⪛$6402$)⨟⋌⩍($5569$⪮%⊝$1504$)⊋$6553$⪃⊛⇣$5230$⪹","expression":"((⇑⪆40311⇋≉)∝⇑⪆14414⪛⇑⪆201102)⨟⋌⩍(⇑⪆134234⪮%⊝⇑⪆22004)⊋⇑⪆202203⪃⊛⇣⇑⪆131410⪹","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5255,"operation_count":8,"complexity_ratio":656.875,"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":2581,"base":5}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1234,"base":5},"right_expr":{"type":"numeric_atoms","value":6402,"base":5}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5569,"base":5},"right_expr":{"type":"numeric_atoms","value":1504,"base":5}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":6553,"base":5},"right_expr":{"type":"numeric_atoms","value":5230,"base":5}}}}},"used_operators":["B3sABdIn96","rGHVDoGpnC","cTDWOvIxvz","XIabStNQrY","uFcxV4UQCh","W4tP9CfskL","IWmyXbctLI","rrgAzCduG9"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","QMFrweE19q","Tcnh7f0tEr","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2581","layer":4},{"info":"compute unary expreesion, input=2581, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5064","layer":3},{"info":"number node, value=1234","layer":4},{"info":"number node, value=6402","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=6402, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=5064, right_input=1234, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5069","layer":2},{"info":"number node, value=5569","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=5569, right_input=1504, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11454","layer":3},{"info":"number node, value=6553","layer":4},{"info":"number node, value=5230","layer":4},{"info":"compute binary expreesion, left_input=6553, right_input=5230, 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=11454, right_input=1234, 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=94670052","layer":2},{"info":"compute binary expreesion, left_input=5069, right_input=94670052, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆40311⇋≉)∝⇑⪆14414⪛⇑⪆201102)⨟⋌⩍(⇑⪆134234⪮%⊝⇑⪆22004)⊋⇑⪆202203⪃⊛⇣⇑⪆131410⪹=NaN","reverse_text":"NaN=((⇑⪆40311⇋≉)∝⇑⪆14414⪛⇑⪆201102)⨟⋌⩍(⇑⪆134234⪮%⊝⇑⪆22004)⊋⇑⪆202203⪃⊛⇣⇑⪆131410⪹","cot":[{"info":"⇑⪆40311⇋≉=⇑⪆130224","layer":3},{"info":"⇑⪆14414⪛⇑⪆201102=⇑⪆14414","layer":3},{"info":"⇑⪆130224∝⇑⪆14414=⇑⪆130234","layer":2},{"info":"⇑⪆134234⪮%⊝⇑⪆22004=⇑⪆331304","layer":3},{"info":"⇑⪆202203⪃⊛⇣⇑⪆131410=⇑⪆14414","layer":3},{"info":"⇑⪆331304⊋⇑⪆14414=⇑⪆143213420202","layer":2},{"info":"⇑⪆130234⨟⋌⩍⇑⪆143213420202=NaN","layer":1},{"info":"NaN⪹=NaN","layer":0}]}
{"id":514,"expression_no_base_symbol":"≉(⪛⨧(($2891$∪⫐$1073$)⨚⇆(⋗⩴⪓$3702$)))","expression":"≉(⪛⨧((⇑⪆43031∪⫐⇑⪆13243)⨚⇆(⋗⩴⪓⇑⪆104302)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":24025,"operation_count":5,"complexity_ratio":4805.0,"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":2891,"base":5},"right_expr":{"type":"numeric_atoms","value":1073,"base":5}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":3702,"base":5}}}}},"used_operators":["e1ybzncUwg","6NJAcO2OWT","lwHaAYXP2r","7YooWSwCyH","nOKPl9n5zu"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rJVOvQCfKK","2DDjHMKMc0","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=2891","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=2891, right_input=1073, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2891","layer":3},{"info":"number node, value=3702","layer":4},{"info":"compute unary expreesion, input=3702, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-2789","layer":3},{"info":"compute binary expreesion, left_input=2891, right_input=-2789, 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 = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , 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":5,"result_base":5,"text":"≉(⪛⨧((⇑⪆43031∪⫐⇑⪆13243)⨚⇆(⋗⩴⪓⇑⪆104302)))=NaN","reverse_text":"NaN=≉(⪛⨧((⇑⪆43031∪⫐⇑⪆13243)⨚⇆(⋗⩴⪓⇑⪆104302)))","cot":[{"info":"⇑⪆43031∪⫐⇑⪆13243=⇑⪆43031","layer":3},{"info":"⋗⩴⪓⇑⪆104302=⇑⪆-42124","layer":3},{"info":"⇑⪆43031⨚⇆⇑⪆-42124=NaN","layer":2},{"info":"⪛⨧NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":515,"expression_no_base_symbol":"(($1903$≀⩗∶$5113$⫦⪉$1492$⨚⇆$2981$)≀⩗∶($1319$⫥∨⫟$6532$)≭($1148$+⇶⊼$3793$))⩺⋐⫨","expression":"((⇑⪆30103≀⩗∶⇑⪆130423⫦⪉⇑⪆21432⨚⇆⇑⪆43411)≀⩗∶(⇑⪆20234⫥∨⫟⇑⪆202112)≭(⇑⪆14043+⇶⊼⇑⪆110133))⩺⋐⫨","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10737,"operation_count":8,"complexity_ratio":1342.125,"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":1903,"base":5},"right_expr":{"type":"numeric_atoms","value":5113,"base":5}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1492,"base":5},"right_expr":{"type":"numeric_atoms","value":2981,"base":5}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1319,"base":5},"right_expr":{"type":"numeric_atoms","value":6532,"base":5}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1148,"base":5},"right_expr":{"type":"numeric_atoms","value":3793,"base":5}}}}},"used_operators":["yS9ePUuUdn","8INZBEW696","wscyQdcy20","lwHaAYXP2r","rxpJgHHUmx","KYD54nUTWz","TpPTUOHfaN"],"dependent_operators":["9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=1903","layer":4},{"info":"number node, value=5113","layer":4},{"info":"compute binary expreesion, left_input=1903, right_input=5113, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":3},{"info":"number node, value=1492","layer":4},{"info":"number node, value=2981","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=2981, 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=-6, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4912","layer":2},{"info":"number node, value=1319","layer":4},{"info":"number node, value=6532","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=6532, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1148","layer":4},{"info":"number node, value=3793","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=3793, 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 = 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=4912, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆30103≀⩗∶⇑⪆130423⫦⪉⇑⪆21432⨚⇆⇑⪆43411)≀⩗∶(⇑⪆20234⫥∨⫟⇑⪆202112)≭(⇑⪆14043+⇶⊼⇑⪆110133))⩺⋐⫨=NaN","reverse_text":"NaN=((⇑⪆30103≀⩗∶⇑⪆130423⫦⪉⇑⪆21432⨚⇆⇑⪆43411)≀⩗∶(⇑⪆20234⫥∨⫟⇑⪆202112)≭(⇑⪆14043+⇶⊼⇑⪆110133))⩺⋐⫨","cot":[{"info":"⇑⪆30103≀⩗∶⇑⪆130423=⇑⪆-11","layer":3},{"info":"⇑⪆21432⨚⇆⇑⪆43411=NaN","layer":3},{"info":"⇑⪆-11⫦⪉NaN=⇑⪆124122","layer":2},{"info":"⇑⪆20234⫥∨⫟⇑⪆202112=NaN","layer":3},{"info":"⇑⪆14043+⇶⊼⇑⪆110133=NaN","layer":3},{"info":"NaN≭NaN=NaN","layer":2},{"info":"⇑⪆124122≀⩗∶NaN=NaN","layer":1},{"info":"NaN⩺⋐⫨=NaN","layer":0}]}
{"id":516,"expression_no_base_symbol":"((≇⪴($3154$⩺⋐⫨))⇮⋭$1828$⇴∐$2276$⪄($1791$⨴∎))≁($3376$⊉↱≁$2083$⋣⋖($1101$∸))⇂≾⫗((⨂⪏⇭$2670$)⪍↜⋙$2484$⨐$5123$)","expression":"((≇⪴(⇑⪆100104⩺⋐⫨))⇮⋭⇑⪆24303⇴∐⇑⪆33101⪄(⇑⪆24131⨴∎))≁(⇑⪆102001⊉↱≁⇑⪆31313⋣⋖(⇑⪆13401∸))⇂≾⫗((⨂⪏⇭⇑⪆41140)⪍↜⋙⇑⪆34414⨐⇑⪆130443)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2885,"operation_count":14,"complexity_ratio":206.07142857142858,"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":3154,"base":5}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1828,"base":5},"right_expr":{"type":"numeric_atoms","value":2276,"base":5}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":1791,"base":5}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3376,"base":5},"right_expr":{"type":"numeric_atoms","value":2083,"base":5}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1101,"base":5}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2670,"base":5}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2484,"base":5},"right_expr":{"type":"numeric_atoms","value":5123,"base":5}}}}},"used_operators":["8N2wDY1A35","vkpjKywKVM","zoVPnxeHJ3","yS9ePUuUdn","SUmda5xLS4","HnzytWxmAO","CpSg5vQTgA","aBQ6xLxuTc","J0M6qkBnIM","w2P8NbNXyL","o20kRiQErp","L05ObWFQCd","AYdpE9sXAk","Noe24qw2ks"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","tmPS8pqC7x","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"⇑⪆-1420132","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3154","layer":4},{"info":"compute unary expreesion, input=3154, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(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=1828","layer":4},{"info":"number node, value=2276","layer":4},{"info":"compute binary expreesion, left_input=1828, right_input=2276, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1791","layer":4},{"info":"compute unary expreesion, input=1791, 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=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3979, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"number node, value=3376","layer":4},{"info":"number node, value=2083","layer":4},{"info":"compute binary expreesion, left_input=3376, right_input=2083, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=21210","layer":3},{"info":"number node, value=1101","layer":4},{"info":"compute unary expreesion, input=1101, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=21210, right_input=177, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=21210","layer":2},{"info":"number node, value=2670","layer":4},{"info":"compute unary expreesion, input=2670, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=7031","layer":3},{"info":"number node, value=2484","layer":4},{"info":"number node, value=5123","layer":4},{"info":"compute binary expreesion, left_input=2484, right_input=5123, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4968","layer":3},{"info":"compute binary expreesion, left_input=7031, right_input=-4968, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=23998","layer":2},{"info":"compute binary expreesion, left_input=21210, right_input=23998, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"compute binary expreesion, left_input=-473, right_input=-676, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-29417","layer":0}],"base":5,"result_base":5,"text":"((≇⪴(⇑⪆100104⩺⋐⫨))⇮⋭⇑⪆24303⇴∐⇑⪆33101⪄(⇑⪆24131⨴∎))≁(⇑⪆102001⊉↱≁⇑⪆31313⋣⋖(⇑⪆13401∸))⇂≾⫗((⨂⪏⇭⇑⪆41140)⪍↜⋙⇑⪆34414⨐⇑⪆130443)=⇑⪆-1420132","reverse_text":"⇑⪆-1420132=((≇⪴(⇑⪆100104⩺⋐⫨))⇮⋭⇑⪆24303⇴∐⇑⪆33101⪄(⇑⪆24131⨴∎))≁(⇑⪆102001⊉↱≁⇑⪆31313⋣⋖(⇑⪆13401∸))⇂≾⫗((⨂⪏⇭⇑⪆41140)⪍↜⋙⇑⪆34414⨐⇑⪆130443)","cot":[{"info":"⇑⪆100104⩺⋐⫨=⇑⪆0","layer":3},{"info":"≇⪴⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆24303⇴∐⇑⪆33101=NaN","layer":3},{"info":"⇑⪆24131⨴∎=NaN","layer":3},{"info":"NaN⪄NaN=⇑⪆111404","layer":2},{"info":"⇑⪆0⇮⋭⇑⪆111404=⇑⪆-3343","layer":1},{"info":"⇑⪆102001⊉↱≁⇑⪆31313=⇑⪆1134320","layer":3},{"info":"⇑⪆13401∸=⇑⪆1202","layer":3},{"info":"⇑⪆1134320⋣⋖⇑⪆1202=⇑⪆1134320","layer":2},{"info":"⨂⪏⇭⇑⪆41140=⇑⪆211111","layer":3},{"info":"⇑⪆34414⨐⇑⪆130443=⇑⪆-124333","layer":3},{"info":"⇑⪆211111⪍↜⋙⇑⪆-124333=⇑⪆1231443","layer":2},{"info":"⇑⪆1134320⇂≾⫗⇑⪆1231443=⇑⪆-10201","layer":1},{"info":"⇑⪆-3343≁⇑⪆-10201=⇑⪆-1420132","layer":0}]}
{"id":517,"expression_no_base_symbol":"≦∁(($1088$⪕$1420$)⊴(↔$7042$)∕⩚((⪹$3043$)/$1432$⫒⫫$5605$))","expression":"≦∁((⇑⪆13323⪕⇑⪆21140)⊴(↔⇑⪆211132)∕⩚((⪹⇑⪆44133)/⇑⪆21212⫒⫫⇑⪆134410))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6844,"operation_count":8,"complexity_ratio":855.5,"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":1088,"base":5},"right_expr":{"type":"numeric_atoms","value":1420,"base":5}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":7042,"base":5}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":3043,"base":5}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1432,"base":5},"right_expr":{"type":"numeric_atoms","value":5605,"base":5}}}}},"used_operators":["9ICcGScMcE","z9ffQ9n5Zr","Nsiff2A1zJ","umQnsF7QlU","ruOEQAzv1W","XhwjNDsVaA","USyYr0JgAa","6Ko8hGgeMq"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","dWAJyo7jo9","14qkJME0vr","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","tifHPKVTfV","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"⇑⪆232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1088","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=1420, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1657","layer":3},{"info":"number node, value=7042","layer":4},{"info":"compute unary expreesion, input=7042, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-6769","layer":3},{"info":"compute binary expreesion, left_input=1657, right_input=-6769, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=3043","layer":4},{"info":"compute unary expreesion, input=3043, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-2863","layer":3},{"info":"number node, value=1432","layer":4},{"info":"number node, value=5605","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=5605, 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=-2863, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":0}],"base":5,"result_base":5,"text":"≦∁((⇑⪆13323⪕⇑⪆21140)⊴(↔⇑⪆211132)∕⩚((⪹⇑⪆44133)/⇑⪆21212⫒⫫⇑⪆134410))=⇑⪆232","reverse_text":"⇑⪆232=≦∁((⇑⪆13323⪕⇑⪆21140)⊴(↔⇑⪆211132)∕⩚((⪹⇑⪆44133)/⇑⪆21212⫒⫫⇑⪆134410))","cot":[{"info":"⇑⪆13323⪕⇑⪆21140=⇑⪆23112","layer":3},{"info":"↔⇑⪆211132=⇑⪆-204034","layer":3},{"info":"⇑⪆23112⊴⇑⪆-204034=NaN","layer":2},{"info":"⪹⇑⪆44133=⇑⪆-42423","layer":3},{"info":"⇑⪆21212⫒⫫⇑⪆134410=NaN","layer":3},{"info":"⇑⪆-42423/NaN=NaN","layer":2},{"info":"NaN∕⩚NaN=⇑⪆-3422","layer":1},{"info":"≦∁⇑⪆-3422=⇑⪆232","layer":0}]}
{"id":518,"expression_no_base_symbol":"(($6501$⊬⨰$3906$)⩦($2333$-$1621$)⋾⨃∁($4964$⩷∴$1027$↺$1824$⫯⪬∳$1338$))⨻⩈⩔(∐⩳⋚($1576$↢$5982$⋅⇍$2229$≁↽≥$1436$))","expression":"((⇑⪆202001⊬⨰⇑⪆111111)⩦(⇑⪆33313-⇑⪆22441)⋾⨃∁(⇑⪆124324⩷∴⇑⪆13102↺⇑⪆24244⫯⪬∳⇑⪆20323))⨻⩈⩔(∐⩳⋚(⇑⪆22301↢⇑⪆142412⋅⇍⇑⪆32404≁↽≥⇑⪆21221))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8176,"operation_count":12,"complexity_ratio":681.3333333333334,"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":6501,"base":5},"right_expr":{"type":"numeric_atoms","value":3906,"base":5}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2333,"base":5},"right_expr":{"type":"numeric_atoms","value":1621,"base":5}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4964,"base":5},"right_expr":{"type":"numeric_atoms","value":1027,"base":5}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1824,"base":5},"right_expr":{"type":"numeric_atoms","value":1338,"base":5}}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1576,"base":5},"right_expr":{"type":"numeric_atoms","value":5982,"base":5}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2229,"base":5},"right_expr":{"type":"numeric_atoms","value":1436,"base":5}}}}},"used_operators":["nEsXyWgiOK","212REbPD9h","0kmYd0q39Y","s3Fd5m9Dh2","rysDP5nf3Z","7j4O788W3g","9FxExcQeMw","d7ASUq0ydm","SL6IHkK8vl","AdZkA7nFnk","WR6HLWljOP","ncHt1X6cMc"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","oWn0xqSxBt","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6501","layer":4},{"info":"number node, value=3906","layer":4},{"info":"compute binary expreesion, left_input=6501, right_input=3906, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=21069","layer":3},{"info":"number node, value=2333","layer":4},{"info":"number node, value=1621","layer":4},{"info":"compute binary expreesion, left_input=2333, right_input=1621, op_id = rysDP5nf3Z binary_op_definition= 'None', output=712","layer":3},{"info":"compute binary expreesion, left_input=21069, right_input=712, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=42138","layer":2},{"info":"number node, value=4964","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=4964, right_input=1027, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7842","layer":3},{"info":"number node, value=1824","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=1824, right_input=1338, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=7815","layer":3},{"info":"compute binary expreesion, left_input=7842, right_input=7815, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7815","layer":2},{"info":"compute binary expreesion, left_input=42138, right_input=7815, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=610648376","layer":1},{"info":"number node, value=1576","layer":4},{"info":"number node, value=5982","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=5982, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1092","layer":3},{"info":"number node, value=2229","layer":4},{"info":"number node, value=1436","layer":4},{"info":"compute binary expreesion, left_input=2229, right_input=1436, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=35949","layer":3},{"info":"compute binary expreesion, left_input=1092, right_input=35949, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-34338","layer":1},{"info":"compute binary expreesion, left_input=610648376, right_input=-34338, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆202001⊬⨰⇑⪆111111)⩦(⇑⪆33313-⇑⪆22441)⋾⨃∁(⇑⪆124324⩷∴⇑⪆13102↺⇑⪆24244⫯⪬∳⇑⪆20323))⨻⩈⩔(∐⩳⋚(⇑⪆22301↢⇑⪆142412⋅⇍⇑⪆32404≁↽≥⇑⪆21221))=NaN","reverse_text":"NaN=((⇑⪆202001⊬⨰⇑⪆111111)⩦(⇑⪆33313-⇑⪆22441)⋾⨃∁(⇑⪆124324⩷∴⇑⪆13102↺⇑⪆24244⫯⪬∳⇑⪆20323))⨻⩈⩔(∐⩳⋚(⇑⪆22301↢⇑⪆142412⋅⇍⇑⪆32404≁↽≥⇑⪆21221))","cot":[{"info":"⇑⪆202001⊬⨰⇑⪆111111=⇑⪆1133234","layer":3},{"info":"⇑⪆33313-⇑⪆22441=⇑⪆10322","layer":3},{"info":"⇑⪆1133234⩦⇑⪆10322=⇑⪆2322023","layer":2},{"info":"⇑⪆124324⩷∴⇑⪆13102=⇑⪆222332","layer":3},{"info":"⇑⪆24244⫯⪬∳⇑⪆20323=⇑⪆222230","layer":3},{"info":"⇑⪆222332↺⇑⪆222230=⇑⪆222230","layer":2},{"info":"⇑⪆2322023⋾⨃∁⇑⪆222230=⇑⪆2222311222001","layer":1},{"info":"⇑⪆22301↢⇑⪆142412=⇑⪆13332","layer":3},{"info":"⇑⪆32404≁↽≥⇑⪆21221=⇑⪆2122244","layer":3},{"info":"⇑⪆13332⋅⇍⇑⪆2122244=⇑⪆-42","layer":2},{"info":"∐⩳⋚⇑⪆-42=⇑⪆-2044323","layer":1},{"info":"⇑⪆2222311222001⨻⩈⩔⇑⪆-2044323=NaN","layer":0}]}
{"id":519,"expression_no_base_symbol":"($3818$⪘⨀)⨥⫆($1100$⫡⨏$2154$)≃(⨂⪏⇭$1974$)+⪬∐(↨$1578$)⋷(→⩰($4221$⫔⩽⩺$1195$))⊾⪯⋞$4967$⪝$6068$∠↢$2512$≎⪠$6267$","expression":"(⇑⪆110233⪘⨀)⨥⫆(⇑⪆13400⫡⨏⇑⪆32104)≃(⨂⪏⇭⇑⪆30344)+⪬∐(↨⇑⪆22303)⋷(→⩰(⇑⪆113341⫔⩽⩺⇑⪆14240))⊾⪯⋞⇑⪆124332⪝⇑⪆143233∠↢⇑⪆40022≎⪠⇑⪆200032","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20031,"operation_count":14,"complexity_ratio":1430.7857142857142,"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":3818,"base":5}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1100,"base":5},"right_expr":{"type":"numeric_atoms","value":2154,"base":5}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1974,"base":5}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1578,"base":5}}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":4221,"base":5},"right_expr":{"type":"numeric_atoms","value":1195,"base":5}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4967,"base":5},"right_expr":{"type":"numeric_atoms","value":6068,"base":5}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2512,"base":5},"right_expr":{"type":"numeric_atoms","value":6267,"base":5}}}}},"used_operators":["23Mk6UjR3U","YbVcJGFEVW","yXekIHxTD4","aA7tF3KVD3","QMFrweE19q","2GS7woTJqF","AYdpE9sXAk","jiX4gk2v2Q","HK0tfVPux8","o8Pngz0Tml","i9eR4S00cU","KbjG8mgYpV","wicAB68Tmb","aNhz54LH3e"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","rGHVDoGpnC","oZj3VtZNQx","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3818","layer":4},{"info":"compute unary expreesion, input=3818, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-8217","layer":3},{"info":"number node, value=1100","layer":4},{"info":"number node, value=2154","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=2154, 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=10591","layer":3},{"info":"compute binary expreesion, left_input=-8217, right_input=10591, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":2},{"info":"number node, value=1974","layer":4},{"info":"compute unary expreesion, input=1974, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=4943","layer":3},{"info":"number node, value=1578","layer":4},{"info":"compute unary expreesion, input=1578, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4943, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-14829","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-14829, 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=59276","layer":1},{"info":"number node, value=4221","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=4221, right_input=1195, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"number node, value=4967","layer":4},{"info":"number node, value=6068","layer":4},{"info":"compute binary expreesion, left_input=4967, right_input=6068, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=2512","layer":4},{"info":"number node, value=6267","layer":4},{"info":"compute binary expreesion, left_input=2512, right_input=6267, 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=237, right_input=19558, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-273678","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-273678, 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=59276, 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":5,"result_base":5,"text":"(⇑⪆110233⪘⨀)⨥⫆(⇑⪆13400⫡⨏⇑⪆32104)≃(⨂⪏⇭⇑⪆30344)+⪬∐(↨⇑⪆22303)⋷(→⩰(⇑⪆113341⫔⩽⩺⇑⪆14240))⊾⪯⋞⇑⪆124332⪝⇑⪆143233∠↢⇑⪆40022≎⪠⇑⪆200032=NaN","reverse_text":"NaN=(⇑⪆110233⪘⨀)⨥⫆(⇑⪆13400⫡⨏⇑⪆32104)≃(⨂⪏⇭⇑⪆30344)+⪬∐(↨⇑⪆22303)⋷(→⩰(⇑⪆113341⫔⩽⩺⇑⪆14240))⊾⪯⋞⇑⪆124332⪝⇑⪆143233∠↢⇑⪆40022≎⪠⇑⪆200032","cot":[{"info":"⇑⪆110233⪘⨀=⇑⪆-230332","layer":3},{"info":"⇑⪆13400⫡⨏⇑⪆32104=⇑⪆314331","layer":3},{"info":"⇑⪆-230332⨥⫆⇑⪆314331=⇑⪆0","layer":2},{"info":"⨂⪏⇭⇑⪆30344=⇑⪆124233","layer":3},{"info":"↨⇑⪆22303=NaN","layer":3},{"info":"⇑⪆124233+⪬∐NaN=⇑⪆-433304","layer":2},{"info":"⇑⪆0≃⇑⪆-433304=⇑⪆3344101","layer":1},{"info":"⇑⪆113341⫔⩽⩺⇑⪆14240=NaN","layer":3},{"info":"→⩰NaN=NaN","layer":2},{"info":"⇑⪆124332⪝⇑⪆143233=⇑⪆1422","layer":3},{"info":"⇑⪆40022≎⪠⇑⪆200032=⇑⪆1111213","layer":3},{"info":"⇑⪆1422∠↢⇑⪆1111213=⇑⪆-32224203","layer":2},{"info":"NaN⊾⪯⋞⇑⪆-32224203=NaN","layer":1},{"info":"⇑⪆3344101⋷NaN=NaN","layer":0}]}
{"id":520,"expression_no_base_symbol":"⫯((($1928$⊭↱$1895$)⪕($1253$↸$3393$))⊔(($2956$≓∲$1539$)⋭≵(∟⋨$2172$)))","expression":"⫯(((⇑⪆30203⊭↱⇑⪆30040)⪕(⇑⪆20003↸⇑⪆102033))⊔((⇑⪆43311≓∲⇑⪆22124)⋭≵(∟⋨⇑⪆32142)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3616,"operation_count":8,"complexity_ratio":452.0,"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":1928,"base":5},"right_expr":{"type":"numeric_atoms","value":1895,"base":5}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1253,"base":5},"right_expr":{"type":"numeric_atoms","value":3393,"base":5}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2956,"base":5},"right_expr":{"type":"numeric_atoms","value":1539,"base":5}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":2172,"base":5}}}}},"used_operators":["H6BK1Evt7c","E4l6HwMY31","umQnsF7QlU","COABgblf1C","1eCjFl0mb9","jBncVCNhdl","s1XTVnmDOJ","ctOc4cKSDt"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eLAdDNolq6","tmPS8pqC7x"],"result":"⇑⪆4224002","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1928","layer":4},{"info":"number node, value=1895","layer":4},{"info":"compute binary expreesion, left_input=1928, right_input=1895, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-61","layer":3},{"info":"number node, value=1253","layer":4},{"info":"number node, value=3393","layer":4},{"info":"compute binary expreesion, left_input=1253, right_input=3393, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1253","layer":3},{"info":"compute binary expreesion, left_input=-61, right_input=1253, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"number node, value=2956","layer":4},{"info":"number node, value=1539","layer":4},{"info":"compute binary expreesion, left_input=2956, right_input=1539, 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=30343","layer":3},{"info":"number node, value=2172","layer":4},{"info":"compute unary expreesion, input=2172, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-1688","layer":3},{"info":"compute binary expreesion, left_input=30343, right_input=-1688, 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=-55, right_input=67, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=-2175","layer":1},{"info":"compute unary expreesion, input=-2175, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=70502","layer":0}],"base":5,"result_base":5,"text":"⫯(((⇑⪆30203⊭↱⇑⪆30040)⪕(⇑⪆20003↸⇑⪆102033))⊔((⇑⪆43311≓∲⇑⪆22124)⋭≵(∟⋨⇑⪆32142)))=⇑⪆4224002","reverse_text":"⇑⪆4224002=⫯(((⇑⪆30203⊭↱⇑⪆30040)⪕(⇑⪆20003↸⇑⪆102033))⊔((⇑⪆43311≓∲⇑⪆22124)⋭≵(∟⋨⇑⪆32142)))","cot":[{"info":"⇑⪆30203⊭↱⇑⪆30040=⇑⪆-221","layer":3},{"info":"⇑⪆20003↸⇑⪆102033=⇑⪆20003","layer":3},{"info":"⇑⪆-221⪕⇑⪆20003=⇑⪆-210","layer":2},{"info":"⇑⪆43311≓∲⇑⪆22124=⇑⪆1432333","layer":3},{"info":"∟⋨⇑⪆32142=⇑⪆-23223","layer":3},{"info":"⇑⪆1432333⋭≵⇑⪆-23223=⇑⪆232","layer":2},{"info":"⇑⪆-210⊔⇑⪆232=⇑⪆-32200","layer":1},{"info":"⫯⇑⪆-32200=⇑⪆4224002","layer":0}]}
{"id":521,"expression_no_base_symbol":"(($1686$⨽$1818$⨒(⋣$1913$))⩱)→⨶⪴(($1961$⨚⇆$2862$)⇡⇂($7781$≒∊$1527$)⊋≦⊧(⇖($1043$⩣⫁∢$2358$)))","expression":"((⇑⪆23221⨽⇑⪆24233⨒(⋣⇑⪆30123))⩱)→⨶⪴((⇑⪆30321⨚⇆⇑⪆42422)⇡⇂(⇑⪆222111≒∊⇑⪆22102)⊋≦⊧(⇖(⇑⪆13133⩣⫁∢⇑⪆33413)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":84279,"operation_count":11,"complexity_ratio":7661.727272727273,"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":1686,"base":5},"right_expr":{"type":"numeric_atoms","value":1818,"base":5}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1913,"base":5}}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1961,"base":5},"right_expr":{"type":"numeric_atoms","value":2862,"base":5}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":7781,"base":5},"right_expr":{"type":"numeric_atoms","value":1527,"base":5}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1043,"base":5},"right_expr":{"type":"numeric_atoms","value":2358,"base":5}}}}},"used_operators":["bF6eod5Gvf","uyq1hVkAcj","y75s1iXyHd","8HhzD0ZcuI","zQWRhDnn8F","oRDoc9rAEX","UMwdvZNt44","lwHaAYXP2r","5KTvxBwnZo","tfWHHpNKUN","JDUIKTTSIa"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","2DQ55sFlQl","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1686","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=1686, right_input=1818, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8531928","layer":3},{"info":"number node, value=1913","layer":4},{"info":"compute unary expreesion, input=1913, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-562327","layer":3},{"info":"compute binary expreesion, left_input=-8531928, right_input=-562327, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"compute unary expreesion, input=1, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-256","layer":1},{"info":"number node, value=1961","layer":4},{"info":"number node, value=2862","layer":4},{"info":"compute binary expreesion, left_input=1961, right_input=2862, 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=7781","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=7781, right_input=1527, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-7297","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7297, 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=1043","layer":4},{"info":"number node, value=2358","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=2358, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-1925","layer":3},{"info":"compute unary expreesion, input=-1925, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, 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=-256, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆23221⨽⇑⪆24233⨒(⋣⇑⪆30123))⩱)→⨶⪴((⇑⪆30321⨚⇆⇑⪆42422)⇡⇂(⇑⪆222111≒∊⇑⪆22102)⊋≦⊧(⇖(⇑⪆13133⩣⫁∢⇑⪆33413)))=NaN","reverse_text":"NaN=((⇑⪆23221⨽⇑⪆24233⨒(⋣⇑⪆30123))⩱)→⨶⪴((⇑⪆30321⨚⇆⇑⪆42422)⇡⇂(⇑⪆222111≒∊⇑⪆22102)⊋≦⊧(⇖(⇑⪆13133⩣⫁∢⇑⪆33413)))","cot":[{"info":"⇑⪆23221⨽⇑⪆24233=⇑⪆-4141010203","layer":3},{"info":"⋣⇑⪆30123=⇑⪆-120443302","layer":3},{"info":"⇑⪆-4141010203⨒⇑⪆-120443302=⇑⪆1","layer":2},{"info":"⇑⪆1⩱=⇑⪆-2011","layer":1},{"info":"⇑⪆30321⨚⇆⇑⪆42422=NaN","layer":3},{"info":"⇑⪆222111≒∊⇑⪆22102=⇑⪆-213142","layer":3},{"info":"NaN⇡⇂⇑⪆-213142=NaN","layer":2},{"info":"⇑⪆13133⩣⫁∢⇑⪆33413=⇑⪆-30200","layer":3},{"info":"⇖⇑⪆-30200=⇑⪆1120","layer":2},{"info":"NaN⊋≦⊧⇑⪆1120=NaN","layer":1},{"info":"⇑⪆-2011→⨶⪴NaN=NaN","layer":0}]}
{"id":522,"expression_no_base_symbol":"(($2547$⨐⩸⫘$1315$)⩺⪪$2621$⇂≾⫗$5148$↺($6504$⩁⩘$1113$⫭))⪟⇏((⊁⨺$4756$⩖⊿$1194$)≧⫂∧($2832$⪔$9579$⊉≛↸$3479$⨂≜$1049$))","expression":"((⇑⪆40142⨐⩸⫘⇑⪆20230)⩺⪪⇑⪆40441⇂≾⫗⇑⪆131043↺(⇑⪆202004⩁⩘⇑⪆13423⫭))⪟⇏((⊁⨺⇑⪆123011⩖⊿⇑⪆14234)≧⫂∧(⇑⪆42312⪔⇑⪆301304⊉≛↸⇑⪆102404⨂≜⇑⪆13144))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13482,"operation_count":13,"complexity_ratio":1037.076923076923,"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":2547,"base":5},"right_expr":{"type":"numeric_atoms","value":1315,"base":5}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2621,"base":5},"right_expr":{"type":"numeric_atoms","value":5148,"base":5}}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":6504,"base":5},"right_expr":{"type":"numeric_atoms","value":1113,"base":5}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":4756,"base":5},"right_expr":{"type":"numeric_atoms","value":1194,"base":5}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2832,"base":5},"right_expr":{"type":"numeric_atoms","value":9579,"base":5}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3479,"base":5},"right_expr":{"type":"numeric_atoms","value":1049,"base":5}}}}},"used_operators":["GODebY97qR","7j4O788W3g","uvdQJvN4PV","fu6greOZ01","aBQ6xLxuTc","t4WUHVGj7f","gub5Cegaqo","Ph9nP6C5qx","PxiHyQbrIp","RZ5CV9rWsJ","DZ8iAZOCBD","GjBEYRfMaF","k1SHOSEABc"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","3ViojmjbAp","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"⇑⪆-1","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2547","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=2547, right_input=1315, 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=2621","layer":4},{"info":"number node, value=5148","layer":4},{"info":"compute binary expreesion, left_input=2621, right_input=5148, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-676, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":2},{"info":"number node, value=6504","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=6504, right_input=1113, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5400","layer":3},{"info":"compute unary expreesion, input=5400, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=16441","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16441, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=16441","layer":1},{"info":"number node, value=4756","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=4756, right_input=1194, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-9554","layer":3},{"info":"compute unary expreesion, input=-9554, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-66095","layer":2},{"info":"number node, value=2832","layer":4},{"info":"number node, value=9579","layer":4},{"info":"compute binary expreesion, left_input=2832, right_input=9579, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=3479","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=3479, right_input=1049, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=900","layer":2},{"info":"compute binary expreesion, left_input=-66095, right_input=900, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=427","layer":1},{"info":"compute binary expreesion, left_input=16441, right_input=427, 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":5,"result_base":5,"text":"((⇑⪆40142⨐⩸⫘⇑⪆20230)⩺⪪⇑⪆40441⇂≾⫗⇑⪆131043↺(⇑⪆202004⩁⩘⇑⪆13423⫭))⪟⇏((⊁⨺⇑⪆123011⩖⊿⇑⪆14234)≧⫂∧(⇑⪆42312⪔⇑⪆301304⊉≛↸⇑⪆102404⨂≜⇑⪆13144))=⇑⪆-1","reverse_text":"⇑⪆-1=((⇑⪆40142⨐⩸⫘⇑⪆20230)⩺⪪⇑⪆40441⇂≾⫗⇑⪆131043↺(⇑⪆202004⩁⩘⇑⪆13423⫭))⪟⇏((⊁⨺⇑⪆123011⩖⊿⇑⪆14234)≧⫂∧(⇑⪆42312⪔⇑⪆301304⊉≛↸⇑⪆102404⨂≜⇑⪆13144))","cot":[{"info":"⇑⪆40142⨐⩸⫘⇑⪆20230=NaN","layer":3},{"info":"⇑⪆40441⇂≾⫗⇑⪆131043=⇑⪆-10201","layer":3},{"info":"NaN⩺⪪⇑⪆-10201=NaN","layer":2},{"info":"⇑⪆202004⩁⩘⇑⪆13423=⇑⪆133100","layer":3},{"info":"⇑⪆133100⫭=⇑⪆1011231","layer":2},{"info":"NaN↺⇑⪆1011231=⇑⪆1011231","layer":1},{"info":"⇑⪆123011⩖⊿⇑⪆14234=⇑⪆-301204","layer":3},{"info":"⊁⨺⇑⪆-301204=⇑⪆-4103340","layer":2},{"info":"⇑⪆42312⪔⇑⪆301304=⇑⪆3300","layer":3},{"info":"⇑⪆102404⨂≜⇑⪆13144=NaN","layer":3},{"info":"⇑⪆3300⊉≛↸NaN=⇑⪆12100","layer":2},{"info":"⇑⪆-4103340≧⫂∧⇑⪆12100=⇑⪆3202","layer":1},{"info":"⇑⪆1011231⪟⇏⇑⪆3202=⇑⪆-1","layer":0}]}
{"id":523,"expression_no_base_symbol":"((⊊≼∋$1680$)⩘($4286$⋻⩜⩜$7430$))⋹⋡⊁((≑⋹$9617$)↙($2977$⨸⪁$1539$))∴(($1648$⪁$1012$)⫘($1104$⊾⪯⋞$1140$)≒∊(↞≼($3623$⪎↠$1750$)))","expression":"((⊊≼∋⇑⪆23210)⩘(⇑⪆114121⋻⩜⩜⇑⪆214210))⋹⋡⊁((≑⋹⇑⪆301432)↙(⇑⪆43402⨸⪁⇑⪆22124))∴((⇑⪆23043⪁⇑⪆13022)⫘(⇑⪆13404⊾⪯⋞⇑⪆14030)≒∊(↞≼(⇑⪆103443⪎↠⇑⪆24000)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":13711246,"operation_count":14,"complexity_ratio":979374.7142857143,"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":1680,"base":5}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4286,"base":5},"right_expr":{"type":"numeric_atoms","value":7430,"base":5}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":9617,"base":5}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2977,"base":5},"right_expr":{"type":"numeric_atoms","value":1539,"base":5}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1648,"base":5},"right_expr":{"type":"numeric_atoms","value":1012,"base":5}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1104,"base":5},"right_expr":{"type":"numeric_atoms","value":1140,"base":5}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3623,"base":5},"right_expr":{"type":"numeric_atoms","value":1750,"base":5}}}}},"used_operators":["hrf7POJlIJ","As8RqfVLgs","cHh1gJQ2o6","FWz7pXsQhA","oDCm7WA9JY","yyfyN0ffXY","6B9nyZLogK","g55IO6H4Gj","5KTvxBwnZo","48vC8HMD2b","I7sXao9hZE","HK0tfVPux8","DE7zCoGJt9","3tVxb0NHM4"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","B5M0gjZbta","jCPkEVoL5K","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","tmPS8pqC7x","DpFCA1CohY","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","W4YGzv6Whe","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"⇑⪆1204124","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1680","layer":4},{"info":"compute unary expreesion, input=1680, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=4286","layer":4},{"info":"number node, value=7430","layer":4},{"info":"compute binary expreesion, left_input=4286, right_input=7430, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=8572","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=8572, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=9617","layer":4},{"info":"compute unary expreesion, input=9617, 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=2977","layer":4},{"info":"number node, value=1539","layer":4},{"info":"compute binary expreesion, left_input=2977, right_input=1539, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9032","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=9032, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-27096","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-27096, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=10383","layer":1},{"info":"number node, value=1648","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=1648, right_input=1012, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1104","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=1140, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1854","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1854, 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=3623","layer":4},{"info":"number node, value=1750","layer":4},{"info":"compute binary expreesion, left_input=3623, right_input=1750, 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 = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=866","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=866, 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=10383, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=22414","layer":0}],"base":5,"result_base":5,"text":"((⊊≼∋⇑⪆23210)⩘(⇑⪆114121⋻⩜⩜⇑⪆214210))⋹⋡⊁((≑⋹⇑⪆301432)↙(⇑⪆43402⨸⪁⇑⪆22124))∴((⇑⪆23043⪁⇑⪆13022)⫘(⇑⪆13404⊾⪯⋞⇑⪆14030)≒∊(↞≼(⇑⪆103443⪎↠⇑⪆24000)))=⇑⪆1204124","reverse_text":"⇑⪆1204124=((⊊≼∋⇑⪆23210)⩘(⇑⪆114121⋻⩜⩜⇑⪆214210))⋹⋡⊁((≑⋹⇑⪆301432)↙(⇑⪆43402⨸⪁⇑⪆22124))∴((⇑⪆23043⪁⇑⪆13022)⫘(⇑⪆13404⊾⪯⋞⇑⪆14030)≒∊(↞≼(⇑⪆103443⪎↠⇑⪆24000)))","cot":[{"info":"⊊≼∋⇑⪆23210=⇑⪆-3242","layer":3},{"info":"⇑⪆114121⋻⩜⩜⇑⪆214210=⇑⪆233242","layer":3},{"info":"⇑⪆-3242⩘⇑⪆233242=⇑⪆1120","layer":2},{"info":"≑⋹⇑⪆301432=⇑⪆23100","layer":3},{"info":"⇑⪆43402⨸⪁⇑⪆22124=⇑⪆242112","layer":3},{"info":"⇑⪆23100↙⇑⪆242112=⇑⪆-1331341","layer":2},{"info":"⇑⪆1120⋹⋡⊁⇑⪆-1331341=⇑⪆313013","layer":1},{"info":"⇑⪆23043⪁⇑⪆13022=NaN","layer":3},{"info":"⇑⪆13404⊾⪯⋞⇑⪆14030=⇑⪆24404","layer":3},{"info":"NaN⫘⇑⪆24404=NaN","layer":2},{"info":"⇑⪆103443⪎↠⇑⪆24000=⇑⪆1120","layer":3},{"info":"↞≼⇑⪆1120=⇑⪆11431","layer":2},{"info":"NaN≒∊⇑⪆11431=NaN","layer":1},{"info":"⇑⪆313013∴NaN=⇑⪆1204124","layer":0}]}
{"id":524,"expression_no_base_symbol":"(⩎⋉($3494$⋥≓≎$1339$))⩁⩘($7423$↢$4632$↬$1756$→⨶⪴$4199$)⨟⋌⩍(((⩷$1292$)⨪↰⇹(∟⋨$7371$))⊔(⨈⪑(≔$4204$)))","expression":"(⩎⋉(⇑⪆102434⋥≓≎⇑⪆20324))⩁⩘(⇑⪆214143↢⇑⪆122012↬⇑⪆24011→⨶⪴⇑⪆113244)⨟⋌⩍(((⩷⇑⪆20132)⨪↰⇹(∟⋨⇑⪆213441))⊔(⨈⪑(≔⇑⪆113304)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23221,"operation_count":13,"complexity_ratio":1786.2307692307693,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3494,"base":5},"right_expr":{"type":"numeric_atoms","value":1339,"base":5}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":7423,"base":5},"right_expr":{"type":"numeric_atoms","value":4632,"base":5}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1756,"base":5},"right_expr":{"type":"numeric_atoms","value":4199,"base":5}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1292,"base":5}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":7371,"base":5}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":4204,"base":5}}}}},"used_operators":["rGHVDoGpnC","gub5Cegaqo","FlXk3pOYe8","Qy55tPpLXF","B5M0gjZbta","WR6HLWljOP","bF6eod5Gvf","E4l6HwMY31","tmPS8pqC7x","1h0rLqGiFr","ctOc4cKSDt","mp94q5OcYM","8FLs4eVsLt"],"dependent_operators":["Tcnh7f0tEr","DpFCA1CohY","IWmyXbctLI","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rJVOvQCfKK","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","eLAdDNolq6","tmPS8pqC7x","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3494","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=3494, right_input=1339, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-783","layer":3},{"info":"compute unary expreesion, input=-783, 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":"number node, value=7423","layer":4},{"info":"number node, value=4632","layer":4},{"info":"compute binary expreesion, left_input=7423, right_input=4632, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=6939","layer":3},{"info":"number node, value=1756","layer":4},{"info":"number node, value=4199","layer":4},{"info":"compute binary expreesion, left_input=1756, right_input=4199, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-12597","layer":3},{"info":"compute binary expreesion, left_input=6939, right_input=-12597, 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=1650, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"number node, value=1292","layer":4},{"info":"compute unary expreesion, input=1292, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-15583","layer":3},{"info":"number node, value=7371","layer":4},{"info":"compute unary expreesion, input=7371, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-6887","layer":3},{"info":"compute binary expreesion, left_input=-15583, right_input=-6887, 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=15583","layer":2},{"info":"number node, value=4204","layer":4},{"info":"compute unary expreesion, input=4204, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-116418","layer":3},{"info":"compute unary expreesion, input=-116418, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=15583, right_input=868, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=33106","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=33106, 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":5,"result_base":5,"text":"(⩎⋉(⇑⪆102434⋥≓≎⇑⪆20324))⩁⩘(⇑⪆214143↢⇑⪆122012↬⇑⪆24011→⨶⪴⇑⪆113244)⨟⋌⩍(((⩷⇑⪆20132)⨪↰⇹(∟⋨⇑⪆213441))⊔(⨈⪑(≔⇑⪆113304)))=NaN","reverse_text":"NaN=(⩎⋉(⇑⪆102434⋥≓≎⇑⪆20324))⩁⩘(⇑⪆214143↢⇑⪆122012↬⇑⪆24011→⨶⪴⇑⪆113244)⨟⋌⩍(((⩷⇑⪆20132)⨪↰⇹(∟⋨⇑⪆213441))⊔(⨈⪑(≔⇑⪆113304)))","cot":[{"info":"⇑⪆102434⋥≓≎⇑⪆20324=⇑⪆-11113","layer":3},{"info":"⩎⋉⇑⪆-11113=⇑⪆23100","layer":2},{"info":"⇑⪆214143↢⇑⪆122012=⇑⪆210224","layer":3},{"info":"⇑⪆24011→⨶⪴⇑⪆113244=⇑⪆-400342","layer":3},{"info":"⇑⪆210224↬⇑⪆-400342=NaN","layer":2},{"info":"⇑⪆23100⩁⩘NaN=NaN","layer":1},{"info":"⩷⇑⪆20132=⇑⪆-444313","layer":3},{"info":"∟⋨⇑⪆213441=⇑⪆-210022","layer":3},{"info":"⇑⪆-444313⨪↰⇹⇑⪆-210022=⇑⪆444313","layer":2},{"info":"≔⇑⪆113304=⇑⪆-12211133","layer":3},{"info":"⨈⪑⇑⪆-12211133=⇑⪆11433","layer":2},{"info":"⇑⪆444313⊔⇑⪆11433=⇑⪆2024411","layer":1},{"info":"NaN⨟⋌⩍⇑⪆2024411=NaN","layer":0}]}
{"id":525,"expression_no_base_symbol":"((($3624$⇍⊗$1388$)∣($1932$⪔$2418$))⫻⋑⊟)⨰((⪭⩑⪱$5271$↓$1471$)⨴∎)","expression":"(((⇑⪆103444⇍⊗⇑⪆21023)∣(⇑⪆30212⪔⇑⪆34133))⫻⋑⊟)⨰((⪭⩑⪱⇑⪆132041↓⇑⪆21341)⨴∎)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":28785,"operation_count":8,"complexity_ratio":3598.125,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3624,"base":5},"right_expr":{"type":"numeric_atoms","value":1388,"base":5}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1932,"base":5},"right_expr":{"type":"numeric_atoms","value":2418,"base":5}}}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":5271,"base":5},"right_expr":{"type":"numeric_atoms","value":1471,"base":5}}}}},"used_operators":["eewbuw0ToL","o575Zjdmzy","PPChnnnBFF","5uvYHDjeKN","GjBEYRfMaF","CpSg5vQTgA","SIgE0bArFf","Af076pWI7l"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3624","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=3624, right_input=1388, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=1932","layer":4},{"info":"number node, value=2418","layer":4},{"info":"compute binary expreesion, left_input=1932, right_input=2418, 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=-244, right_input=450, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-244","layer":2},{"info":"compute unary expreesion, input=-244, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=1974","layer":1},{"info":"number node, value=5271","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=5271, right_input=1471, 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 = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute unary expreesion, input=8320752, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1974, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆103444⇍⊗⇑⪆21023)∣(⇑⪆30212⪔⇑⪆34133))⫻⋑⊟)⨰((⪭⩑⪱⇑⪆132041↓⇑⪆21341)⨴∎)=NaN","reverse_text":"NaN=(((⇑⪆103444⇍⊗⇑⪆21023)∣(⇑⪆30212⪔⇑⪆34133))⫻⋑⊟)⨰((⪭⩑⪱⇑⪆132041↓⇑⪆21341)⨴∎)","cot":[{"info":"⇑⪆103444⇍⊗⇑⪆21023=⇑⪆-1434","layer":3},{"info":"⇑⪆30212⪔⇑⪆34133=⇑⪆3300","layer":3},{"info":"⇑⪆-1434∣⇑⪆3300=⇑⪆-1434","layer":2},{"info":"⇑⪆-1434⫻⋑⊟=⇑⪆30344","layer":1},{"info":"⇑⪆132041↓⇑⪆21341=⇑⪆-1014","layer":3},{"info":"⪭⩑⪱⇑⪆-1014=⇑⪆4112231002","layer":2},{"info":"⇑⪆4112231002⨴∎=NaN","layer":1},{"info":"⇑⪆30344⨰NaN=NaN","layer":0}]}
{"id":526,"expression_no_base_symbol":"⩷(∂⩏⊆$2798$)∌($1049$⩵∡$1841$)∣(($1446$⊢)⇣⩺⋵($5679$+⇶⊼$1036$))","expression":"⩷(∂⩏⊆⇑⪆42143)∌(⇑⪆13144⩵∡⇑⪆24331)∣((⇑⪆21241⊢)⇣⩺⋵(⇑⪆140204+⇶⊼⇑⪆13121))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":103,"operation_count":8,"complexity_ratio":12.875,"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":2798,"base":5}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1049,"base":5},"right_expr":{"type":"numeric_atoms","value":1841,"base":5}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":1446,"base":5}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5679,"base":5},"right_expr":{"type":"numeric_atoms","value":1036,"base":5}}}}},"used_operators":["1h0rLqGiFr","PPChnnnBFF","8cLx32lpNA","8WDwsbhb0R","Y7wcNGrDQJ","F4yD0voBRQ","40aOVDgCDB","TpPTUOHfaN"],"dependent_operators":["14qkJME0vr","g55IO6H4Gj","7j4O788W3g","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","14qkJME0vr","eLAdDNolq6","NTOWxs364D","glklzrTFfD","tifHPKVTfV","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","NTOWxs364D","AHs5Up7iyr"],"result":"⇑⪆-11420223","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2798","layer":4},{"info":"compute unary expreesion, input=2798, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-8473","layer":3},{"info":"number node, value=1049","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=1841, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-378","layer":3},{"info":"compute binary expreesion, left_input=-8473, right_input=-378, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-8473","layer":2},{"info":"number node, value=1446","layer":4},{"info":"compute unary expreesion, input=1446, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-1693","layer":3},{"info":"number node, value=5679","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=5679, right_input=1036, 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=-1693, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=-8473, right_input=-260, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=8957","layer":1},{"info":"compute unary expreesion, input=8957, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-107563","layer":0}],"base":5,"result_base":5,"text":"⩷(∂⩏⊆⇑⪆42143)∌(⇑⪆13144⩵∡⇑⪆24331)∣((⇑⪆21241⊢)⇣⩺⋵(⇑⪆140204+⇶⊼⇑⪆13121))=⇑⪆-11420223","reverse_text":"⇑⪆-11420223=⩷(∂⩏⊆⇑⪆42143)∌(⇑⪆13144⩵∡⇑⪆24331)∣((⇑⪆21241⊢)⇣⩺⋵(⇑⪆140204+⇶⊼⇑⪆13121))","cot":[{"info":"∂⩏⊆⇑⪆42143=⇑⪆-232343","layer":3},{"info":"⇑⪆13144⩵∡⇑⪆24331=⇑⪆-3003","layer":3},{"info":"⇑⪆-232343∌⇑⪆-3003=⇑⪆-232343","layer":2},{"info":"⇑⪆21241⊢=⇑⪆-23233","layer":3},{"info":"⇑⪆140204+⇶⊼⇑⪆13121=NaN","layer":3},{"info":"⇑⪆-23233⇣⩺⋵NaN=⇑⪆-2020","layer":2},{"info":"⇑⪆-232343∣⇑⪆-2020=⇑⪆241312","layer":1},{"info":"⩷⇑⪆241312=⇑⪆-11420223","layer":0}]}
{"id":527,"expression_no_base_symbol":"((⩷⨜⫀$3019$)⩼⇪↪($1032$↑)⨔≚≋($3285$⩺⪪$5604$⫦⪉$2836$≌$1870$))⊝⪿⪼(⩒∊(($8093$⊴$5972$)⨘))","expression":"((⩷⨜⫀⇑⪆44034)⩼⇪↪(⇑⪆13112↑)⨔≚≋(⇑⪆101120⩺⪪⇑⪆134404⫦⪉⇑⪆42321≌⇑⪆24440))⊝⪿⪼(⩒∊((⇑⪆224333⊴⇑⪆142342)⨘))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19202,"operation_count":11,"complexity_ratio":1745.6363636363637,"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":3019,"base":5}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1032,"base":5}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3285,"base":5},"right_expr":{"type":"numeric_atoms","value":5604,"base":5}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2836,"base":5},"right_expr":{"type":"numeric_atoms","value":1870,"base":5}}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":8093,"base":5},"right_expr":{"type":"numeric_atoms","value":5972,"base":5}}}}},"used_operators":["3Oe9XWJUTD","Z57zeUYC9z","ocnLzx9CaJ","CDi0ktkjQ4","BThhyOhh10","wscyQdcy20","uvdQJvN4PV","lyWz822IDG","qazvmhNBbN","ljcfZBUpm8","Nsiff2A1zJ"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","ruOEQAzv1W","nhYeJWJD5X","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","dWAJyo7jo9","14qkJME0vr"],"result":"⇑⪆220404422","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3019","layer":4},{"info":"compute unary expreesion, input=3019, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-2746","layer":3},{"info":"number node, value=1032","layer":4},{"info":"compute unary expreesion, input=1032, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"compute binary expreesion, left_input=-2746, right_input=222, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-7829","layer":2},{"info":"number node, value=3285","layer":4},{"info":"number node, value=5604","layer":4},{"info":"compute binary expreesion, left_input=3285, right_input=5604, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=2836","layer":4},{"info":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=2836, right_input=1870, 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=-1818, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=7474","layer":2},{"info":"compute binary expreesion, left_input=-7829, right_input=7474, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=62712","layer":1},{"info":"number node, value=8093","layer":4},{"info":"number node, value=5972","layer":4},{"info":"compute binary expreesion, left_input=8093, right_input=5972, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', 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=62712, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=950612","layer":0}],"base":5,"result_base":5,"text":"((⩷⨜⫀⇑⪆44034)⩼⇪↪(⇑⪆13112↑)⨔≚≋(⇑⪆101120⩺⪪⇑⪆134404⫦⪉⇑⪆42321≌⇑⪆24440))⊝⪿⪼(⩒∊((⇑⪆224333⊴⇑⪆142342)⨘))=⇑⪆220404422","reverse_text":"⇑⪆220404422=((⩷⨜⫀⇑⪆44034)⩼⇪↪(⇑⪆13112↑)⨔≚≋(⇑⪆101120⩺⪪⇑⪆134404⫦⪉⇑⪆42321≌⇑⪆24440))⊝⪿⪼(⩒∊((⇑⪆224333⊴⇑⪆142342)⨘))","cot":[{"info":"⩷⨜⫀⇑⪆44034=⇑⪆-41441","layer":3},{"info":"⇑⪆13112↑=⇑⪆1342","layer":3},{"info":"⇑⪆-41441⩼⇪↪⇑⪆1342=⇑⪆-222304","layer":2},{"info":"⇑⪆101120⩺⪪⇑⪆134404=⇑⪆-24233","layer":3},{"info":"⇑⪆42321≌⇑⪆24440=NaN","layer":3},{"info":"⇑⪆-24233⫦⪉NaN=⇑⪆214344","layer":2},{"info":"⇑⪆-222304⨔≚≋⇑⪆214344=⇑⪆4001322","layer":1},{"info":"⇑⪆224333⊴⇑⪆142342=NaN","layer":3},{"info":"NaN⨘=NaN","layer":2},{"info":"⩒∊NaN=NaN","layer":1},{"info":"⇑⪆4001322⊝⪿⪼NaN=⇑⪆220404422","layer":0}]}
{"id":528,"expression_no_base_symbol":"(($7711$≬⋮$5219$)⩒⫫($4113$⨐⩸⫘$1548$))⨪↰⇹(⨰⫟⨤($2195$↱$4132$))⊹≧⊝","expression":"((⇑⪆221321≬⋮⇑⪆131334)⩒⫫(⇑⪆112423⨐⩸⫘⇑⪆22143))⨪↰⇹(⨰⫟⨤(⇑⪆32240↱⇑⪆113012))⊹≧⊝","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":48491,"operation_count":7,"complexity_ratio":6927.285714285715,"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":7711,"base":5},"right_expr":{"type":"numeric_atoms","value":5219,"base":5}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4113,"base":5},"right_expr":{"type":"numeric_atoms","value":1548,"base":5}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2195,"base":5},"right_expr":{"type":"numeric_atoms","value":4132,"base":5}}}}},"used_operators":["LxFB4K6j0n","tmPS8pqC7x","KFSx94NKJn","kbkesczE7y","fu6greOZ01","Tw270M8GLb","SR5kFfdi6N"],"dependent_operators":["NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","rJVOvQCfKK","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","3ViojmjbAp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7711","layer":4},{"info":"number node, value=5219","layer":4},{"info":"compute binary expreesion, left_input=7711, right_input=5219, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=4113","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=4113, right_input=1548, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=868, 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":2},{"info":"number node, value=2195","layer":4},{"info":"number node, value=4132","layer":4},{"info":"compute binary expreesion, left_input=2195, right_input=4132, 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=-11874","layer":3},{"info":"compute unary expreesion, input=-11874, 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 = 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 unary expreesion, input=nan, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆221321≬⋮⇑⪆131334)⩒⫫(⇑⪆112423⨐⩸⫘⇑⪆22143))⨪↰⇹(⨰⫟⨤(⇑⪆32240↱⇑⪆113012))⊹≧⊝=NaN","reverse_text":"NaN=((⇑⪆221321≬⋮⇑⪆131334)⩒⫫(⇑⪆112423⨐⩸⫘⇑⪆22143))⨪↰⇹(⨰⫟⨤(⇑⪆32240↱⇑⪆113012))⊹≧⊝","cot":[{"info":"⇑⪆221321≬⋮⇑⪆131334=⇑⪆11433","layer":3},{"info":"⇑⪆112423⨐⩸⫘⇑⪆22143=NaN","layer":3},{"info":"⇑⪆11433⩒⫫NaN=NaN","layer":2},{"info":"⇑⪆32240↱⇑⪆113012=⇑⪆-334444","layer":3},{"info":"⨰⫟⨤⇑⪆-334444=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"NaN⊹≧⊝=NaN","layer":0}]}
{"id":529,"expression_no_base_symbol":"≇⪴($7590$∣$2016$⨟⋌⩍(≤/$1964$))⊮⊟↴($1030$⨜⨶$3764$)⊕∕(⨈⫕$3707$)","expression":"≇⪴(⇑⪆220330∣⇑⪆31031⨟⋌⩍(≤/⇑⪆30324))⊮⊟↴(⇑⪆13110⨜⨶⇑⪆110024)⊕∕(⨈⫕⇑⪆104312)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":469,"operation_count":8,"complexity_ratio":58.625,"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":7590,"base":5},"right_expr":{"type":"numeric_atoms","value":2016,"base":5}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1964,"base":5}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1030,"base":5},"right_expr":{"type":"numeric_atoms","value":3764,"base":5}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3707,"base":5}}}}},"used_operators":["zoVPnxeHJ3","QDVgd2eftb","rGHVDoGpnC","PPChnnnBFF","eLAdDNolq6","9cloC0Ngie","HiPekx5b7W","megm06wKyl"],"dependent_operators":["7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","Tcnh7f0tEr","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⇑⪆-301101203","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7590","layer":4},{"info":"number node, value=2016","layer":4},{"info":"compute binary expreesion, left_input=7590, right_input=2016, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=7590","layer":3},{"info":"number node, value=1964","layer":4},{"info":"compute unary expreesion, input=1964, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1480","layer":3},{"info":"compute binary expreesion, left_input=7590, right_input=-1480, 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=1030","layer":4},{"info":"number node, value=3764","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=3764, 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=-7272","layer":3},{"info":"number node, value=3707","layer":4},{"info":"compute unary expreesion, input=3707, 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=-7272, right_input=-21, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-7272","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7272, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=397381","layer":1},{"info":"compute unary expreesion, input=397381, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-1190803","layer":0}],"base":5,"result_base":5,"text":"≇⪴(⇑⪆220330∣⇑⪆31031⨟⋌⩍(≤/⇑⪆30324))⊮⊟↴(⇑⪆13110⨜⨶⇑⪆110024)⊕∕(⨈⫕⇑⪆104312)=⇑⪆-301101203","reverse_text":"⇑⪆-301101203=≇⪴(⇑⪆220330∣⇑⪆31031⨟⋌⩍(≤/⇑⪆30324))⊮⊟↴(⇑⪆13110⨜⨶⇑⪆110024)⊕∕(⨈⫕⇑⪆104312)","cot":[{"info":"⇑⪆220330∣⇑⪆31031=⇑⪆220330","layer":3},{"info":"≤/⇑⪆30324=⇑⪆-21410","layer":3},{"info":"⇑⪆220330⨟⋌⩍⇑⪆-21410=NaN","layer":2},{"info":"⇑⪆13110⨜⨶⇑⪆110024=⇑⪆-213042","layer":3},{"info":"⨈⫕⇑⪆104312=⇑⪆-41","layer":3},{"info":"⇑⪆-213042⊕∕⇑⪆-41=⇑⪆-213042","layer":2},{"info":"NaN⊮⊟↴⇑⪆-213042=⇑⪆100204011","layer":1},{"info":"≇⪴⇑⪆100204011=⇑⪆-301101203","layer":0}]}
{"id":530,"expression_no_base_symbol":"(($3160$≹⇙⪍$2823$)⪝($1069$⪇≇⋚$8188$)⫡⨏($3849$∐⫣)⊕∕($5332$⪨≂$1562$))⪃⊛⇣(⊈(↩($1336$⫳≱↱$1372$)))","expression":"((⇑⪆100120≹⇙⪍⇑⪆42243)⪝(⇑⪆13234⪇≇⋚⇑⪆230223)⫡⨏(⇑⪆110344∐⫣)⊕∕(⇑⪆132312⪨≂⇑⪆22222))⪃⊛⇣(⊈(↩(⇑⪆20321⫳≱↱⇑⪆20442)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1351,"operation_count":11,"complexity_ratio":122.81818181818181,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3160,"base":5},"right_expr":{"type":"numeric_atoms","value":2823,"base":5}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1069,"base":5},"right_expr":{"type":"numeric_atoms","value":8188,"base":5}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":3849,"base":5}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5332,"base":5},"right_expr":{"type":"numeric_atoms","value":1562,"base":5}}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1336,"base":5},"right_expr":{"type":"numeric_atoms","value":1372,"base":5}}}}},"used_operators":["rrgAzCduG9","QMFrweE19q","wicAB68Tmb","AHs5Up7iyr","3sJ7IOPOlU","9cloC0Ngie","4CyGpkTkEk","sdazOOVcIp","RHru8klgy8","jLgFTUHLKL","ZvLB05nZmT"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","dWAJyo7jo9","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","rysDP5nf3Z","t8gj7n24qd","12rbrZMWeM","xUOZtlo3hN","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"⇑⪆14414","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3160","layer":4},{"info":"number node, value=2823","layer":4},{"info":"compute binary expreesion, left_input=3160, right_input=2823, 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=1069","layer":4},{"info":"number node, value=8188","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=8188, 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 = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"number node, value=3849","layer":4},{"info":"compute unary expreesion, input=3849, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"number node, value=5332","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=5332, right_input=1562, 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=7642","layer":3},{"info":"compute binary expreesion, left_input=551, right_input=7642, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=551","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=551, 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=1336","layer":4},{"info":"number node, value=1372","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=1372, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=3436","layer":2},{"info":"compute unary expreesion, input=3436, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-3610","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3610, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆100120≹⇙⪍⇑⪆42243)⪝(⇑⪆13234⪇≇⋚⇑⪆230223)⫡⨏(⇑⪆110344∐⫣)⊕∕(⇑⪆132312⪨≂⇑⪆22222))⪃⊛⇣(⊈(↩(⇑⪆20321⫳≱↱⇑⪆20442)))=⇑⪆14414","reverse_text":"⇑⪆14414=((⇑⪆100120≹⇙⪍⇑⪆42243)⪝(⇑⪆13234⪇≇⋚⇑⪆230223)⫡⨏(⇑⪆110344∐⫣)⊕∕(⇑⪆132312⪨≂⇑⪆22222))⪃⊛⇣(⊈(↩(⇑⪆20321⫳≱↱⇑⪆20442)))","cot":[{"info":"⇑⪆100120≹⇙⪍⇑⪆42243=NaN","layer":3},{"info":"⇑⪆13234⪇≇⋚⇑⪆230223=⇑⪆0","layer":3},{"info":"NaN⪝⇑⪆0=NaN","layer":2},{"info":"⇑⪆110344∐⫣=⇑⪆4201","layer":3},{"info":"⇑⪆132312⪨≂⇑⪆22222=⇑⪆221032","layer":3},{"info":"⇑⪆4201⊕∕⇑⪆221032=⇑⪆4201","layer":2},{"info":"NaN⫡⨏⇑⪆4201=NaN","layer":1},{"info":"⇑⪆20321⫳≱↱⇑⪆20442=⇑⪆-1304","layer":3},{"info":"↩⇑⪆-1304=⇑⪆102221","layer":2},{"info":"⊈⇑⪆102221=⇑⪆-103420","layer":1},{"info":"NaN⪃⊛⇣⇑⪆-103420=⇑⪆14414","layer":0}]}
{"id":531,"expression_no_base_symbol":"((∓⪦($3041$⋘⨑⨽))⇞)∪⫐(($2075$⫡⨏$2288$)↬$2521$≌$3861$⪁(≻⋜($5928$⪓⨏)))","expression":"((∓⪦(⇑⪆44131⋘⨑⨽))⇞)∪⫐((⇑⪆31300⫡⨏⇑⪆33123)↬⇑⪆40041≌⇑⪆110421⪁(≻⋜(⇑⪆142203⪓⨏)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10229,"operation_count":10,"complexity_ratio":1022.9,"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":3041,"base":5}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2075,"base":5},"right_expr":{"type":"numeric_atoms","value":2288,"base":5}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2521,"base":5},"right_expr":{"type":"numeric_atoms","value":3861,"base":5}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":5928,"base":5}}}}},"used_operators":["7YooWSwCyH","5JYyxRJd4f","D309nIvmXG","WmT3o8z6ya","I7sXao9hZE","B5M0gjZbta","QMFrweE19q","lyWz822IDG","3tj9sqzovi","4X9JU4Jbn6"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ"],"result":"⇑⪆3442413","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3041","layer":4},{"info":"compute unary expreesion, input=3041, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=15988","layer":3},{"info":"compute unary expreesion, input=15988, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=15580","layer":2},{"info":"compute unary expreesion, input=15580, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=62233","layer":1},{"info":"number node, value=2075","layer":4},{"info":"number node, value=2288","layer":4},{"info":"compute binary expreesion, left_input=2075, right_input=2288, 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=15734","layer":3},{"info":"number node, value=2521","layer":4},{"info":"number node, value=3861","layer":4},{"info":"compute binary expreesion, left_input=2521, right_input=3861, 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=15734, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=5928","layer":4},{"info":"compute unary expreesion, input=5928, 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 = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=62233, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=62233","layer":0}],"base":5,"result_base":5,"text":"((∓⪦(⇑⪆44131⋘⨑⨽))⇞)∪⫐((⇑⪆31300⫡⨏⇑⪆33123)↬⇑⪆40041≌⇑⪆110421⪁(≻⋜(⇑⪆142203⪓⨏)))=⇑⪆3442413","reverse_text":"⇑⪆3442413=((∓⪦(⇑⪆44131⋘⨑⨽))⇞)∪⫐((⇑⪆31300⫡⨏⇑⪆33123)↬⇑⪆40041≌⇑⪆110421⪁(≻⋜(⇑⪆142203⪓⨏)))","cot":[{"info":"⇑⪆44131⋘⨑⨽=⇑⪆1002423","layer":3},{"info":"∓⪦⇑⪆1002423=⇑⪆444310","layer":2},{"info":"⇑⪆444310⇞=⇑⪆3442413","layer":1},{"info":"⇑⪆31300⫡⨏⇑⪆33123=⇑⪆1000414","layer":3},{"info":"⇑⪆40041≌⇑⪆110421=NaN","layer":3},{"info":"⇑⪆1000414↬NaN=NaN","layer":2},{"info":"⇑⪆142203⪓⨏=NaN","layer":3},{"info":"≻⋜NaN=NaN","layer":2},{"info":"NaN⪁NaN=NaN","layer":1},{"info":"⇑⪆3442413∪⫐NaN=⇑⪆3442413","layer":0}]}
{"id":532,"expression_no_base_symbol":"((≤/$4288$⪔⊥$1574$)⫃⨇($4834$∀⇚≩$1300$)⪪(∤$2918$))⩍⋽⫝̸((⩦⩻⨪(≘$1283$))⋛((⨣⨃⇪$5029$)⫡⨏$7024$⨔⇊$1670$))","expression":"((≤/⇑⪆114123⪔⊥⇑⪆22244)⫃⨇(⇑⪆123314∀⇚≩⇑⪆20200)⪪(∤⇑⪆43133))⩍⋽⫝̸((⩦⩻⨪(≘⇑⪆20113))⋛((⨣⨃⇪⇑⪆130104)⫡⨏⇑⪆211044⨔⇊⇑⪆23140))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":34437,"operation_count":13,"complexity_ratio":2649.0,"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":4288,"base":5},"right_expr":{"type":"numeric_atoms","value":1574,"base":5}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4834,"base":5},"right_expr":{"type":"numeric_atoms","value":1300,"base":5}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":2918,"base":5}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1283,"base":5}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":5029,"base":5}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":7024,"base":5},"right_expr":{"type":"numeric_atoms","value":1670,"base":5}}}}},"used_operators":["BiWNJpBvwn","09Ly4LVMIf","eLAdDNolq6","HJ9erzHUuu","xD69zh8xqp","LRNGc0VcxI","k2HlF1dBQh","YbUVn0Rbpy","2td37pGCOC","tcjXMdvYtA","QMFrweE19q","AcOhelriW5","JclMnS0uGI"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"⇑⪆22441210203","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4288","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=4288, right_input=1574, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=13805","layer":3},{"info":"compute unary expreesion, input=13805, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-13321","layer":2},{"info":"number node, value=4834","layer":4},{"info":"number node, value=1300","layer":4},{"info":"compute binary expreesion, left_input=4834, right_input=1300, 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=2918","layer":4},{"info":"compute unary expreesion, input=2918, 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 = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-13321, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"number node, value=1283","layer":4},{"info":"compute unary expreesion, input=1283, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=2829799","layer":3},{"info":"compute unary expreesion, input=2829799, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2829799","layer":2},{"info":"number node, value=5029","layer":4},{"info":"compute unary expreesion, input=5029, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=7024","layer":4},{"info":"number node, value=1670","layer":4},{"info":"compute binary expreesion, left_input=7024, right_input=1670, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1670","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=1670, 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=11148","layer":2},{"info":"compute binary expreesion, left_input=2829799, right_input=11148, 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=25335999","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=25335999, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=25335053","layer":0}],"base":5,"result_base":5,"text":"((≤/⇑⪆114123⪔⊥⇑⪆22244)⫃⨇(⇑⪆123314∀⇚≩⇑⪆20200)⪪(∤⇑⪆43133))⩍⋽⫝̸((⩦⩻⨪(≘⇑⪆20113))⋛((⨣⨃⇪⇑⪆130104)⫡⨏⇑⪆211044⨔⇊⇑⪆23140))=⇑⪆22441210203","reverse_text":"⇑⪆22441210203=((≤/⇑⪆114123⪔⊥⇑⪆22244)⫃⨇(⇑⪆123314∀⇚≩⇑⪆20200)⪪(∤⇑⪆43133))⩍⋽⫝̸((⩦⩻⨪(≘⇑⪆20113))⋛((⨣⨃⇪⇑⪆130104)⫡⨏⇑⪆211044⨔⇊⇑⪆23140))","cot":[{"info":"⇑⪆114123⪔⊥⇑⪆22244=⇑⪆420210","layer":3},{"info":"≤/⇑⪆420210=⇑⪆-411241","layer":2},{"info":"⇑⪆123314∀⇚≩⇑⪆20200=NaN","layer":3},{"info":"∤⇑⪆43133=⇑⪆14","layer":3},{"info":"NaN⪪⇑⪆14=NaN","layer":2},{"info":"⇑⪆-411241⫃⨇NaN=NaN","layer":1},{"info":"≘⇑⪆20113=⇑⪆1211023144","layer":3},{"info":"⩦⩻⨪⇑⪆1211023144=⇑⪆1211023144","layer":2},{"info":"⨣⨃⇪⇑⪆130104=⇑⪆21110","layer":3},{"info":"⇑⪆211044⨔⇊⇑⪆23140=⇑⪆23140","layer":3},{"info":"⇑⪆21110⫡⨏⇑⪆23140=⇑⪆324043","layer":2},{"info":"⇑⪆1211023144⋛⇑⪆324043=⇑⪆22441222444","layer":1},{"info":"NaN⩍⋽⫝̸⇑⪆22441222444=⇑⪆22441210203","layer":0}]}
{"id":533,"expression_no_base_symbol":"((↓⇌$1778$)⇣⩺⋵(⇠$1383$)∲⫓($4353$≀⩗∶$4605$)⪔$1629$⊮⊟↴$2852$)∠↢((($3727$*$2715$)⨭⪣$1646$⋹⋡⊁$6415$)⨝⩣∺)","expression":"((↓⇌⇑⪆24103)⇣⩺⋵(⇠⇑⪆21013)∲⫓(⇑⪆114403≀⩗∶⇑⪆121410)⪔⇑⪆23004⊮⊟↴⇑⪆42402)∠↢(((⇑⪆104402*⇑⪆41330)⨭⪣⇑⪆23041⋹⋡⊁⇑⪆201130)⨝⩣∺)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":65511,"operation_count":12,"complexity_ratio":5459.25,"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":5}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1383,"base":5}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":4353,"base":5},"right_expr":{"type":"numeric_atoms","value":4605,"base":5}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1629,"base":5},"right_expr":{"type":"numeric_atoms","value":2852,"base":5}}}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3727,"base":5},"right_expr":{"type":"numeric_atoms","value":2715,"base":5}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1646,"base":5},"right_expr":{"type":"numeric_atoms","value":6415,"base":5}}}}},"used_operators":["KbjG8mgYpV","i8ToyICDmI","F4yD0voBRQ","PxpmPgHHJV","18saOjeKKm","GjBEYRfMaF","8INZBEW696","QDVgd2eftb","ancx8kZcWl","kn8WO9XteQ","9HNa5Wba9A","As8RqfVLgs"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","DZ8iAZOCBD","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"⇑⪆1040010332400","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1778","layer":4},{"info":"compute unary expreesion, input=1778, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1778","layer":3},{"info":"number node, value=1383","layer":4},{"info":"compute unary expreesion, input=1383, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1141","layer":3},{"info":"compute binary expreesion, left_input=1778, right_input=-1141, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=4353","layer":4},{"info":"number node, value=4605","layer":4},{"info":"compute binary expreesion, left_input=4353, right_input=4605, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"number node, value=1629","layer":4},{"info":"number node, value=2852","layer":4},{"info":"compute binary expreesion, left_input=1629, right_input=2852, 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=-3, right_input=0, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=-6760","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-6760, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-260","layer":1},{"info":"number node, value=3727","layer":4},{"info":"number node, value=2715","layer":4},{"info":"compute binary expreesion, left_input=3727, right_input=2715, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10118805","layer":3},{"info":"number node, value=1646","layer":4},{"info":"number node, value=6415","layer":4},{"info":"compute binary expreesion, left_input=1646, right_input=6415, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=7165","layer":3},{"info":"compute binary expreesion, left_input=10118805, right_input=7165, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=10117526","layer":2},{"info":"compute unary expreesion, input=10117526, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-20235052","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=-20235052, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=283292850","layer":0}],"base":5,"result_base":5,"text":"((↓⇌⇑⪆24103)⇣⩺⋵(⇠⇑⪆21013)∲⫓(⇑⪆114403≀⩗∶⇑⪆121410)⪔⇑⪆23004⊮⊟↴⇑⪆42402)∠↢(((⇑⪆104402*⇑⪆41330)⨭⪣⇑⪆23041⋹⋡⊁⇑⪆201130)⨝⩣∺)=⇑⪆1040010332400","reverse_text":"⇑⪆1040010332400=((↓⇌⇑⪆24103)⇣⩺⋵(⇠⇑⪆21013)∲⫓(⇑⪆114403≀⩗∶⇑⪆121410)⪔⇑⪆23004⊮⊟↴⇑⪆42402)∠↢(((⇑⪆104402*⇑⪆41330)⨭⪣⇑⪆23041⋹⋡⊁⇑⪆201130)⨝⩣∺)","cot":[{"info":"↓⇌⇑⪆24103=⇑⪆24103","layer":3},{"info":"⇠⇑⪆21013=⇑⪆-14031","layer":3},{"info":"⇑⪆24103⇣⩺⋵⇑⪆-14031=⇑⪆-2020","layer":2},{"info":"⇑⪆114403≀⩗∶⇑⪆121410=⇑⪆-3","layer":3},{"info":"⇑⪆23004⊮⊟↴⇑⪆42402=⇑⪆0","layer":3},{"info":"⇑⪆-3⪔⇑⪆0=⇑⪆-204020","layer":2},{"info":"⇑⪆-2020∲⫓⇑⪆-204020=⇑⪆-2020","layer":1},{"info":"⇑⪆104402*⇑⪆41330=⇑⪆10042300210","layer":3},{"info":"⇑⪆23041⋹⋡⊁⇑⪆201130=⇑⪆212130","layer":3},{"info":"⇑⪆10042300210⨭⪣⇑⪆212130=⇑⪆10042230101","layer":2},{"info":"⇑⪆10042230101⨝⩣∺=⇑⪆-20140010202","layer":1},{"info":"⇑⪆-2020∠↢⇑⪆-20140010202=⇑⪆1040010332400","layer":0}]}
{"id":534,"expression_no_base_symbol":"((⫓⪴$1554$)≥⨤⩑$1380$≎⪠$2950$⫔⩽⩺$1267$↞⋁$1553$∀⇚≩(⩪∧⨌$1727$))⨰($5546$⫞⩸⩒$6115$∇⊂⋱(↨$3103$))⇡⇂($9083$⊋≦⊧$6819$-$4364$⇣⩺⋵$3720$)","expression":"((⫓⪴⇑⪆22204)≥⨤⩑⇑⪆21010≎⪠⇑⪆43300⫔⩽⩺⇑⪆20032↞⋁⇑⪆22203∀⇚≩(⩪∧⨌⇑⪆23402))⨰(⇑⪆134141⫞⩸⩒⇑⪆143430∇⊂⋱(↨⇑⪆44403))⇡⇂(⇑⪆242313⊋≦⊧⇑⪆204234-⇑⪆114424⇣⩺⋵⇑⪆104340)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":140921,"operation_count":15,"complexity_ratio":9394.733333333334,"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":1554,"base":5}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1380,"base":5},"right_expr":{"type":"numeric_atoms","value":2950,"base":5}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1267,"base":5},"right_expr":{"type":"numeric_atoms","value":1553,"base":5}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1727,"base":5}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":5546,"base":5},"right_expr":{"type":"numeric_atoms","value":6115,"base":5}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":3103,"base":5}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":9083,"base":5},"right_expr":{"type":"numeric_atoms","value":6819,"base":5}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":4364,"base":5},"right_expr":{"type":"numeric_atoms","value":3720,"base":5}}}}},"used_operators":["eewbuw0ToL","i9eR4S00cU","gJLn6v0xnP","eLxqMNBOBk","aNhz54LH3e","LRNGc0VcxI","RqrPlJkxDo","6iOiAJX1F8","UMwdvZNt44","nhYeJWJD5X","XGcMNugi78","jiX4gk2v2Q","rysDP5nf3Z","oRDoc9rAEX","F4yD0voBRQ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tw270M8GLb","fu6greOZ01","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9HNa5Wba9A","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","X99M06cbEe","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rGHVDoGpnC","oZj3VtZNQx","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1554","layer":4},{"info":"compute unary expreesion, input=1554, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2414916","layer":3},{"info":"number node, value=1380","layer":4},{"info":"number node, value=2950","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=2950, 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=2414916, right_input=19558, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=1267","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=1553, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1727","layer":4},{"info":"compute unary expreesion, input=1727, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=17270","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=17270, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=5546","layer":4},{"info":"number node, value=6115","layer":4},{"info":"compute binary expreesion, left_input=5546, right_input=6115, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=6115","layer":3},{"info":"number node, value=3103","layer":4},{"info":"compute unary expreesion, input=3103, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6115, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=11684","layer":2},{"info":"number node, value=9083","layer":4},{"info":"number node, value=6819","layer":4},{"info":"compute binary expreesion, left_input=9083, right_input=6819, 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=-13398","layer":3},{"info":"number node, value=4364","layer":4},{"info":"number node, value=3720","layer":4},{"info":"compute binary expreesion, left_input=4364, right_input=3720, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-13398, right_input=-260, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-13138","layer":2},{"info":"compute binary expreesion, left_input=11684, right_input=-13138, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⫓⪴⇑⪆22204)≥⨤⩑⇑⪆21010≎⪠⇑⪆43300⫔⩽⩺⇑⪆20032↞⋁⇑⪆22203∀⇚≩(⩪∧⨌⇑⪆23402))⨰(⇑⪆134141⫞⩸⩒⇑⪆143430∇⊂⋱(↨⇑⪆44403))⇡⇂(⇑⪆242313⊋≦⊧⇑⪆204234-⇑⪆114424⇣⩺⋵⇑⪆104340)=NaN","reverse_text":"NaN=((⫓⪴⇑⪆22204)≥⨤⩑⇑⪆21010≎⪠⇑⪆43300⫔⩽⩺⇑⪆20032↞⋁⇑⪆22203∀⇚≩(⩪∧⨌⇑⪆23402))⨰(⇑⪆134141⫞⩸⩒⇑⪆143430∇⊂⋱(↨⇑⪆44403))⇡⇂(⇑⪆242313⊋≦⊧⇑⪆204234-⇑⪆114424⇣⩺⋵⇑⪆104340)","cot":[{"info":"⫓⪴⇑⪆22204=⇑⪆1104234131","layer":3},{"info":"⇑⪆21010≎⪠⇑⪆43300=⇑⪆1111213","layer":3},{"info":"⇑⪆1104234131≥⨤⩑⇑⪆1111213=⇑⪆14414","layer":2},{"info":"⇑⪆20032↞⋁⇑⪆22203=NaN","layer":3},{"info":"⩪∧⨌⇑⪆23402=⇑⪆1023040","layer":3},{"info":"NaN∀⇚≩⇑⪆1023040=NaN","layer":2},{"info":"⇑⪆14414⫔⩽⩺NaN=NaN","layer":1},{"info":"⇑⪆134141⫞⩸⩒⇑⪆143430=⇑⪆143430","layer":3},{"info":"↨⇑⪆44403=NaN","layer":3},{"info":"⇑⪆143430∇⊂⋱NaN=⇑⪆333214","layer":2},{"info":"⇑⪆242313⊋≦⊧⇑⪆204234=⇑⪆-412043","layer":3},{"info":"⇑⪆114424⇣⩺⋵⇑⪆104340=⇑⪆-2020","layer":3},{"info":"⇑⪆-412043-⇑⪆-2020=⇑⪆-410023","layer":2},{"info":"⇑⪆333214⇡⇂⇑⪆-410023=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":535,"expression_no_base_symbol":"(($7587$∙⊟$2520$)∣($1366$≄⊠$6855$))⊬⨰((∜⨇$2869$)⨳⩥⨓(⇜$1960$))⫚↹⊑(($1160$⪭$7338$⨓($1012$⩨$3111$))⊚⫡⫭)","expression":"((⇑⪆220322∙⊟⇑⪆40040)∣(⇑⪆20431≄⊠⇑⪆204410))⊬⨰((∜⨇⇑⪆42434)⨳⩥⨓(⇜⇑⪆30320))⫚↹⊑((⇑⪆14120⪭⇑⪆213323⨓(⇑⪆13022⩨⇑⪆44421))⊚⫡⫭)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":8164,"operation_count":12,"complexity_ratio":680.3333333333334,"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":7587,"base":5},"right_expr":{"type":"numeric_atoms","value":2520,"base":5}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1366,"base":5},"right_expr":{"type":"numeric_atoms","value":6855,"base":5}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":2869,"base":5}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1960,"base":5}}}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1160,"base":5},"right_expr":{"type":"numeric_atoms","value":7338,"base":5}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1012,"base":5},"right_expr":{"type":"numeric_atoms","value":3111,"base":5}}}}},"used_operators":["dfKe02y8D2","s3Fd5m9Dh2","PPChnnnBFF","SxTAKzQCrw","vXNesLlMH1","nCS4ZIUYfx","uFPyJr306J","lFBm8KRb8F","SpZWOsLKZJ","3ViojmjbAp","j9kHMeSvPp","2DlMacCsIx"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","COABgblf1C","xUOZtlo3hN","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⇑⪆-3242","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7587","layer":4},{"info":"number node, value=2520","layer":4},{"info":"compute binary expreesion, left_input=7587, right_input=2520, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=108477","layer":3},{"info":"number node, value=1366","layer":4},{"info":"number node, value=6855","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=6855, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=114348","layer":3},{"info":"compute binary expreesion, left_input=108477, right_input=114348, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=108477","layer":2},{"info":"number node, value=2869","layer":4},{"info":"compute unary expreesion, input=2869, 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=1960","layer":4},{"info":"compute unary expreesion, input=1960, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-16088","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-16088, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=108477, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":1},{"info":"number node, value=1160","layer":4},{"info":"number node, value=7338","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=7338, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=3111","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=3111, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-9, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-12","layer":2},{"info":"compute unary expreesion, input=-12, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=950","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=950, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆220322∙⊟⇑⪆40040)∣(⇑⪆20431≄⊠⇑⪆204410))⊬⨰((∜⨇⇑⪆42434)⨳⩥⨓(⇜⇑⪆30320))⫚↹⊑((⇑⪆14120⪭⇑⪆213323⨓(⇑⪆13022⩨⇑⪆44421))⊚⫡⫭)=⇑⪆-3242","reverse_text":"⇑⪆-3242=((⇑⪆220322∙⊟⇑⪆40040)∣(⇑⪆20431≄⊠⇑⪆204410))⊬⨰((∜⨇⇑⪆42434)⨳⩥⨓(⇜⇑⪆30320))⫚↹⊑((⇑⪆14120⪭⇑⪆213323⨓(⇑⪆13022⩨⇑⪆44421))⊚⫡⫭)","cot":[{"info":"⇑⪆220322∙⊟⇑⪆40040=⇑⪆11432402","layer":3},{"info":"⇑⪆20431≄⊠⇑⪆204410=⇑⪆12124343","layer":3},{"info":"⇑⪆11432402∣⇑⪆12124343=⇑⪆11432402","layer":2},{"info":"∜⨇⇑⪆42434=NaN","layer":3},{"info":"⇜⇑⪆30320=⇑⪆-1003323","layer":3},{"info":"NaN⨳⩥⨓⇑⪆-1003323=NaN","layer":2},{"info":"⇑⪆11432402⊬⨰NaN=NaN","layer":1},{"info":"⇑⪆14120⪭⇑⪆213323=⇑⪆10","layer":3},{"info":"⇑⪆13022⩨⇑⪆44421=⇑⪆-14","layer":3},{"info":"⇑⪆10⨓⇑⪆-14=⇑⪆-22","layer":2},{"info":"⇑⪆-22⊚⫡⫭=⇑⪆12300","layer":1},{"info":"NaN⫚↹⊑⇑⪆12300=⇑⪆-3242","layer":0}]}
{"id":536,"expression_no_base_symbol":"⪸((⨛$1136$⪔⊥$2347$)⨭⪣(⋼∭⪍$6359$⇍⊗$2219$))","expression":"⪸((⨛⇑⪆14021⪔⊥⇑⪆33342)⨭⪣(⋼∭⪍⇑⪆200414⇍⊗⇑⪆32334))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3062,"operation_count":6,"complexity_ratio":510.3333333333333,"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":1136,"base":5},"right_expr":{"type":"numeric_atoms","value":2347,"base":5}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":6359,"base":5},"right_expr":{"type":"numeric_atoms","value":2219,"base":5}}}}},"used_operators":["86A5ENbKR9","kn8WO9XteQ","CoMdbyAt7R","HJ9erzHUuu","DbCuESL50I","5uvYHDjeKN"],"dependent_operators":["Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"⇑⪆20242","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1136","layer":4},{"info":"number node, value=2347","layer":4},{"info":"compute binary expreesion, left_input=1136, right_input=2347, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-349","layer":3},{"info":"compute unary expreesion, input=-349, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=0","layer":2},{"info":"number node, value=6359","layer":4},{"info":"number node, value=2219","layer":4},{"info":"compute binary expreesion, left_input=6359, right_input=2219, 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 = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-1362","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1362, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-322","layer":1},{"info":"compute unary expreesion, input=-322, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=1322","layer":0}],"base":5,"result_base":5,"text":"⪸((⨛⇑⪆14021⪔⊥⇑⪆33342)⨭⪣(⋼∭⪍⇑⪆200414⇍⊗⇑⪆32334))=⇑⪆20242","reverse_text":"⇑⪆20242=⪸((⨛⇑⪆14021⪔⊥⇑⪆33342)⨭⪣(⋼∭⪍⇑⪆200414⇍⊗⇑⪆32334))","cot":[{"info":"⇑⪆14021⪔⊥⇑⪆33342=⇑⪆-2344","layer":3},{"info":"⨛⇑⪆-2344=⇑⪆0","layer":2},{"info":"⇑⪆200414⇍⊗⇑⪆32334=⇑⪆-1434","layer":3},{"info":"⋼∭⪍⇑⪆-1434=⇑⪆-20422","layer":2},{"info":"⇑⪆0⨭⪣⇑⪆-20422=⇑⪆-2242","layer":1},{"info":"⪸⇑⪆-2242=⇑⪆20242","layer":0}]}
{"id":537,"expression_no_base_symbol":"(($1006$∌$2922$⫚↹⊑$3228$⪒⊣⊆$1971$)⊔(($8461$⫩⊇)⫌⩉⩟(⨛$2620$)))∘(($2041$↢$2304$⪄(⩷$5745$))⪪($1962$≚⊃≕$3685$∝$4134$∥⊢⊲$7474$))","expression":"((⇑⪆13011∌⇑⪆43142⫚↹⊑⇑⪆100403⪒⊣⊆⇑⪆30341)⊔((⇑⪆232321⫩⊇)⫌⩉⩟(⨛⇑⪆40440)))∘((⇑⪆31131↢⇑⪆33204⪄(⩷⇑⪆140440))⪪(⇑⪆30322≚⊃≕⇑⪆104220∝⇑⪆113014∥⊢⊲⇑⪆214344))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":149524,"operation_count":15,"complexity_ratio":9968.266666666666,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1006,"base":5},"right_expr":{"type":"numeric_atoms","value":2922,"base":5}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3228,"base":5},"right_expr":{"type":"numeric_atoms","value":1971,"base":5}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":8461,"base":5}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":2620,"base":5}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2041,"base":5},"right_expr":{"type":"numeric_atoms","value":2304,"base":5}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":5745,"base":5}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1962,"base":5},"right_expr":{"type":"numeric_atoms","value":3685,"base":5}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":4134,"base":5},"right_expr":{"type":"numeric_atoms","value":7474,"base":5}}}}},"used_operators":["Z5m6OM72h2","E4l6HwMY31","dfKe02y8D2","8cLx32lpNA","eRqsBgTDFp","XIIwhv8d0m","BjRHVeLaeN","CoMdbyAt7R","xD69zh8xqp","SUmda5xLS4","WR6HLWljOP","1h0rLqGiFr","cTDWOvIxvz","Bmrmz2XGnR","v1UQAVDJRr"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","t8gj7n24qd","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","FU0Cs4j7VP","JclMnS0uGI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","EBcxylXtPf","rGHVDoGpnC"],"result":"⇑⪆3302","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":4},{"info":"number node, value=2922","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=2922, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2922","layer":3},{"info":"number node, value=3228","layer":4},{"info":"number node, value=1971","layer":4},{"info":"compute binary expreesion, left_input=3228, right_input=1971, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6456","layer":3},{"info":"compute binary expreesion, left_input=-2922, right_input=6456, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=8461","layer":4},{"info":"compute unary expreesion, input=8461, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-8419","layer":3},{"info":"number node, value=2620","layer":4},{"info":"compute unary expreesion, input=2620, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8419, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-50, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=-72","layer":1},{"info":"number node, value=2041","layer":4},{"info":"number node, value=2304","layer":4},{"info":"compute binary expreesion, left_input=2041, right_input=2304, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1557","layer":3},{"info":"number node, value=5745","layer":4},{"info":"compute unary expreesion, input=5745, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-69019","layer":3},{"info":"compute binary expreesion, left_input=1557, right_input=-69019, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=49551","layer":2},{"info":"number node, value=1962","layer":4},{"info":"number node, value=3685","layer":4},{"info":"compute binary expreesion, left_input=1962, right_input=3685, 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=4134","layer":4},{"info":"number node, value=7474","layer":4},{"info":"compute binary expreesion, left_input=4134, right_input=7474, 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=67, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=49551, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-7478290","layer":1},{"info":"compute binary expreesion, left_input=-72, right_input=-7478290, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=452","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆13011∌⇑⪆43142⫚↹⊑⇑⪆100403⪒⊣⊆⇑⪆30341)⊔((⇑⪆232321⫩⊇)⫌⩉⩟(⨛⇑⪆40440)))∘((⇑⪆31131↢⇑⪆33204⪄(⩷⇑⪆140440))⪪(⇑⪆30322≚⊃≕⇑⪆104220∝⇑⪆113014∥⊢⊲⇑⪆214344))=⇑⪆3302","reverse_text":"⇑⪆3302=((⇑⪆13011∌⇑⪆43142⫚↹⊑⇑⪆100403⪒⊣⊆⇑⪆30341)⊔((⇑⪆232321⫩⊇)⫌⩉⩟(⨛⇑⪆40440)))∘((⇑⪆31131↢⇑⪆33204⪄(⩷⇑⪆140440))⪪(⇑⪆30322≚⊃≕⇑⪆104220∝⇑⪆113014∥⊢⊲⇑⪆214344))","cot":[{"info":"⇑⪆13011∌⇑⪆43142=⇑⪆-43142","layer":3},{"info":"⇑⪆100403⪒⊣⊆⇑⪆30341=⇑⪆201311","layer":3},{"info":"⇑⪆-43142⫚↹⊑⇑⪆201311=⇑⪆-3242","layer":2},{"info":"⇑⪆232321⫩⊇=⇑⪆-232134","layer":3},{"info":"⨛⇑⪆40440=NaN","layer":3},{"info":"⇑⪆-232134⫌⩉⩟NaN=⇑⪆-200","layer":2},{"info":"⇑⪆-3242⊔⇑⪆-200=⇑⪆-242","layer":1},{"info":"⇑⪆31131↢⇑⪆33204=⇑⪆22212","layer":3},{"info":"⩷⇑⪆140440=⇑⪆-4202034","layer":3},{"info":"⇑⪆22212⪄⇑⪆-4202034=⇑⪆3041201","layer":2},{"info":"⇑⪆30322≚⊃≕⇑⪆104220=⇑⪆232","layer":3},{"info":"⇑⪆113014∥⊢⊲⇑⪆214344=NaN","layer":3},{"info":"⇑⪆232∝NaN=NaN","layer":2},{"info":"⇑⪆3041201⪪NaN=⇑⪆-3403301130","layer":1},{"info":"⇑⪆-242∘⇑⪆-3403301130=⇑⪆3302","layer":0}]}
{"id":538,"expression_no_base_symbol":"(∟⋨($1351$⩷∴$1754$⪡($1988$∝$2763$)))⊉≛↸(-(⊀$1225$)↹⊜($3332$⫃⨇$1073$))","expression":"(∟⋨(⇑⪆20401⩷∴⇑⪆24004⪡(⇑⪆30423∝⇑⪆42023)))⊉≛↸(-(⊀⇑⪆14400)↹⊜(⇑⪆101312⫃⨇⇑⪆13243))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2723,"operation_count":9,"complexity_ratio":302.55555555555554,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1351,"base":5},"right_expr":{"type":"numeric_atoms","value":1754,"base":5}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1988,"base":5},"right_expr":{"type":"numeric_atoms","value":2763,"base":5}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1225,"base":5}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":3332,"base":5},"right_expr":{"type":"numeric_atoms","value":1073,"base":5}}}}},"used_operators":["DZ8iAZOCBD","ctOc4cKSDt","oraRL2iQuh","9FxExcQeMw","cTDWOvIxvz","t8gj7n24qd","9bazX3JMtO","oPMjh9089D","09Ly4LVMIf"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","tmPS8pqC7x","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rysDP5nf3Z","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"⇑⪆1321401","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1351","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=1754, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-838","layer":3},{"info":"number node, value=1988","layer":4},{"info":"number node, value=2763","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=2763, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1993","layer":3},{"info":"compute binary expreesion, left_input=-838, right_input=1993, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=2644","layer":2},{"info":"compute unary expreesion, input=2644, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-2160","layer":1},{"info":"number node, value=1225","layer":4},{"info":"compute unary expreesion, input=1225, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=4638","layer":3},{"info":"number node, value=3332","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=3332, right_input=1073, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4324","layer":3},{"info":"compute binary expreesion, left_input=4638, right_input=-4324, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=26476","layer":2},{"info":"compute unary expreesion, input=26476, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-26476","layer":1},{"info":"compute binary expreesion, left_input=-2160, right_input=-26476, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=26476","layer":0}],"base":5,"result_base":5,"text":"(∟⋨(⇑⪆20401⩷∴⇑⪆24004⪡(⇑⪆30423∝⇑⪆42023)))⊉≛↸(-(⊀⇑⪆14400)↹⊜(⇑⪆101312⫃⨇⇑⪆13243))=⇑⪆1321401","reverse_text":"⇑⪆1321401=(∟⋨(⇑⪆20401⩷∴⇑⪆24004⪡(⇑⪆30423∝⇑⪆42023)))⊉≛↸(-(⊀⇑⪆14400)↹⊜(⇑⪆101312⫃⨇⇑⪆13243))","cot":[{"info":"⇑⪆20401⩷∴⇑⪆24004=⇑⪆-11323","layer":3},{"info":"⇑⪆30423∝⇑⪆42023=⇑⪆30433","layer":3},{"info":"⇑⪆-11323⪡⇑⪆30433=⇑⪆41034","layer":2},{"info":"∟⋨⇑⪆41034=⇑⪆-32120","layer":1},{"info":"⊀⇑⪆14400=⇑⪆122023","layer":3},{"info":"⇑⪆101312⫃⨇⇑⪆13243=⇑⪆-114244","layer":3},{"info":"⇑⪆122023↹⊜⇑⪆-114244=⇑⪆1321401","layer":2},{"info":"-⇑⪆1321401=⇑⪆-1321401","layer":1},{"info":"⇑⪆-32120⊉≛↸⇑⪆-1321401=⇑⪆1321401","layer":0}]}
{"id":539,"expression_no_base_symbol":"(⇨($4679$⨫⇇↔$3526$)∘($1881$∖$4789$))≓∲(($1865$⫲≸⪮$5163$)↤⩊($2563$⨰$3255$)∙∹∝($2134$∺≝⩲$1824$)⫗⊷⫓($1793$∋$7332$))","expression":"(⇨(⇑⪆122204⨫⇇↔⇑⪆103101)∘(⇑⪆30011∖⇑⪆123124))≓∲((⇑⪆24430⫲≸⪮⇑⪆131123)↤⩊(⇑⪆40223⨰⇑⪆101010)∙∹∝(⇑⪆32014∺≝⩲⇑⪆24244)⫗⊷⫓(⇑⪆24133∋⇑⪆213312))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":98626,"operation_count":12,"complexity_ratio":8218.833333333334,"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":4679,"base":5},"right_expr":{"type":"numeric_atoms","value":3526,"base":5}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1881,"base":5},"right_expr":{"type":"numeric_atoms","value":4789,"base":5}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1865,"base":5},"right_expr":{"type":"numeric_atoms","value":5163,"base":5}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2563,"base":5},"right_expr":{"type":"numeric_atoms","value":3255,"base":5}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2134,"base":5},"right_expr":{"type":"numeric_atoms","value":1824,"base":5}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1793,"base":5},"right_expr":{"type":"numeric_atoms","value":7332,"base":5}}}}},"used_operators":["s1XTVnmDOJ","G9tJMlZ94a","Z5m6OM72h2","LXhwmt4mBO","tXD093vOjl","HmxsFra2vL","13rbtpv6ld","P3lXMJvFrc","eewbuw0ToL","zashukvMKz","KPf6cnQVty","ukq6epAj5P"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","k8jYdgA6NY","eH2TOUuTDT","rysDP5nf3Z","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4679","layer":4},{"info":"number node, value=3526","layer":4},{"info":"compute binary expreesion, left_input=4679, right_input=3526, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1881","layer":4},{"info":"number node, value=4789","layer":4},{"info":"compute binary expreesion, left_input=1881, right_input=4789, 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=-527, right_input=0, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=907","layer":2},{"info":"compute unary expreesion, input=907, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"number node, value=1865","layer":4},{"info":"number node, value=5163","layer":4},{"info":"compute binary expreesion, left_input=1865, right_input=5163, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1865","layer":3},{"info":"number node, value=2563","layer":4},{"info":"number node, value=3255","layer":4},{"info":"compute binary expreesion, left_input=2563, right_input=3255, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-682","layer":3},{"info":"compute binary expreesion, left_input=1865, right_input=-682, 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=2134","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=2134, right_input=1824, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1793","layer":4},{"info":"number node, value=7332","layer":4},{"info":"compute binary expreesion, left_input=1793, right_input=7332, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=15231468","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=15231468, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":1},{"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":0}],"base":5,"result_base":5,"text":"(⇨(⇑⪆122204⨫⇇↔⇑⪆103101)∘(⇑⪆30011∖⇑⪆123124))≓∲((⇑⪆24430⫲≸⪮⇑⪆131123)↤⩊(⇑⪆40223⨰⇑⪆101010)∙∹∝(⇑⪆32014∺≝⩲⇑⪆24244)⫗⊷⫓(⇑⪆24133∋⇑⪆213312))=NaN","reverse_text":"NaN=(⇨(⇑⪆122204⨫⇇↔⇑⪆103101)∘(⇑⪆30011∖⇑⪆123124))≓∲((⇑⪆24430⫲≸⪮⇑⪆131123)↤⩊(⇑⪆40223⨰⇑⪆101010)∙∹∝(⇑⪆32014∺≝⩲⇑⪆24244)⫗⊷⫓(⇑⪆24133∋⇑⪆213312))","cot":[{"info":"⇑⪆122204⨫⇇↔⇑⪆103101=⇑⪆-4102","layer":3},{"info":"⇑⪆30011∖⇑⪆123124=⇑⪆0","layer":3},{"info":"⇑⪆-4102∘⇑⪆0=⇑⪆12112","layer":2},{"info":"⇨⇑⪆12112=⇑⪆0","layer":1},{"info":"⇑⪆24430⫲≸⪮⇑⪆131123=⇑⪆24430","layer":3},{"info":"⇑⪆40223⨰⇑⪆101010=⇑⪆-10212","layer":3},{"info":"⇑⪆24430↤⩊⇑⪆-10212=NaN","layer":2},{"info":"⇑⪆32014∺≝⩲⇑⪆24244=⇑⪆1120","layer":3},{"info":"⇑⪆24133∋⇑⪆213312=⇑⪆12344401333","layer":3},{"info":"⇑⪆1120⫗⊷⫓⇑⪆12344401333=⇑⪆-1014","layer":2},{"info":"NaN∙∹∝⇑⪆-1014=NaN","layer":1},{"info":"⇑⪆0≓∲NaN=NaN","layer":0}]}
{"id":540,"expression_no_base_symbol":"((↩$4113$⇷$4080$)⇯⋐)≎⪠(⩩(↽≂($4926$⪨≂$1000$)))","expression":"((↩⇑⪆112423⇷⇑⪆112310)⇯⋐)≎⪠(⩩(↽≂(⇑⪆124201⪨≂⇑⪆13000)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":93585,"operation_count":7,"complexity_ratio":13369.285714285714,"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":4113,"base":5},"right_expr":{"type":"numeric_atoms","value":4080,"base":5}}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4926,"base":5},"right_expr":{"type":"numeric_atoms","value":1000,"base":5}}}}},"used_operators":["aNhz54LH3e","LkLIoiE525","jLgFTUHLKL","mp7IySMOzn","kMhfGuqI2H","u6S6b8DprG","sdazOOVcIp"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⇑⪆1111213","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4113","layer":4},{"info":"number node, value=4080","layer":4},{"info":"compute binary expreesion, left_input=4113, right_input=4080, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8160","layer":3},{"info":"compute unary expreesion, input=8160, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-62500","layer":2},{"info":"compute unary expreesion, input=-62500, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=-61567","layer":1},{"info":"number node, value=4926","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=4926, right_input=1000, 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=7954","layer":3},{"info":"compute unary expreesion, input=7954, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-15908","layer":2},{"info":"compute unary expreesion, input=-15908, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-61567, 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":5,"result_base":5,"text":"((↩⇑⪆112423⇷⇑⪆112310)⇯⋐)≎⪠(⩩(↽≂(⇑⪆124201⪨≂⇑⪆13000)))=⇑⪆1111213","reverse_text":"⇑⪆1111213=((↩⇑⪆112423⇷⇑⪆112310)⇯⋐)≎⪠(⩩(↽≂(⇑⪆124201⪨≂⇑⪆13000)))","cot":[{"info":"⇑⪆112423⇷⇑⪆112310=⇑⪆230120","layer":3},{"info":"↩⇑⪆230120=⇑⪆-4000000","layer":2},{"info":"⇑⪆-4000000⇯⋐=⇑⪆-3432232","layer":1},{"info":"⇑⪆124201⪨≂⇑⪆13000=⇑⪆223304","layer":3},{"info":"↽≂⇑⪆223304=⇑⪆-1002113","layer":2},{"info":"⩩⇑⪆-1002113=NaN","layer":1},{"info":"⇑⪆-3432232≎⪠NaN=⇑⪆1111213","layer":0}]}
{"id":541,"expression_no_base_symbol":"((($7396$⊾⪯⋞$3185$)⩅⪻⪻)⩺⋐⫨)⪬(≑⋹($7322$⊴$1510$⩵∡(↩$4603$)))","expression":"(((⇑⪆214041⊾⪯⋞⇑⪆100220)⩅⪻⪻)⩺⋐⫨)⪬(≑⋹(⇑⪆213242⊴⇑⪆22020⩵∡(↩⇑⪆121403)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8074,"operation_count":8,"complexity_ratio":1009.25,"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":7396,"base":5},"right_expr":{"type":"numeric_atoms","value":3185,"base":5}}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7322,"base":5},"right_expr":{"type":"numeric_atoms","value":1510,"base":5}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4603,"base":5}}}}},"used_operators":["Ez1Nq5fNfI","yS9ePUuUdn","kHoXpA7yos","HK0tfVPux8","6B9nyZLogK","Y7wcNGrDQJ","Nsiff2A1zJ","jLgFTUHLKL"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","NTOWxs364D","glklzrTFfD","tifHPKVTfV","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⇑⪆14414","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7396","layer":4},{"info":"number node, value=3185","layer":4},{"info":"compute binary expreesion, left_input=7396, right_input=3185, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5944","layer":3},{"info":"compute unary expreesion, input=5944, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-879137","layer":2},{"info":"compute unary expreesion, input=-879137, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":1},{"info":"number node, value=7322","layer":4},{"info":"number node, value=1510","layer":4},{"info":"compute binary expreesion, left_input=7322, right_input=1510, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4603","layer":4},{"info":"compute unary expreesion, input=4603, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-34044","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-34044, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"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":1},{"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":0}],"base":5,"result_base":5,"text":"(((⇑⪆214041⊾⪯⋞⇑⪆100220)⩅⪻⪻)⩺⋐⫨)⪬(≑⋹(⇑⪆213242⊴⇑⪆22020⩵∡(↩⇑⪆121403)))=⇑⪆14414","reverse_text":"⇑⪆14414=(((⇑⪆214041⊾⪯⋞⇑⪆100220)⩅⪻⪻)⩺⋐⫨)⪬(≑⋹(⇑⪆213242⊴⇑⪆22020⩵∡(↩⇑⪆121403)))","cot":[{"info":"⇑⪆214041⊾⪯⋞⇑⪆100220=⇑⪆142234","layer":3},{"info":"⇑⪆142234⩅⪻⪻=⇑⪆-211113022","layer":2},{"info":"⇑⪆-211113022⩺⋐⫨=⇑⪆0","layer":1},{"info":"⇑⪆213242⊴⇑⪆22020=NaN","layer":3},{"info":"↩⇑⪆121403=⇑⪆-2042134","layer":3},{"info":"NaN⩵∡⇑⪆-2042134=NaN","layer":2},{"info":"≑⋹NaN=NaN","layer":1},{"info":"⇑⪆0⪬NaN=⇑⪆14414","layer":0}]}
{"id":542,"expression_no_base_symbol":"($1518$⇡⇂$3739$+⇶⊼$3338$⊴$3550$)⪬((⨵≀≌$1681$)⋅⇍$3899$⊲⩕⊾$3520$)⩌⋺(↩($1044$∪⫐$3119$∕⩚$4861$≝⊿$1080$))","expression":"(⇑⪆22033⇡⇂⇑⪆104424+⇶⊼⇑⪆101323⊴⇑⪆103200)⪬((⨵≀≌⇑⪆23211)⋅⇍⇑⪆111044⊲⩕⊾⇑⪆103040)⩌⋺(↩(⇑⪆13134∪⫐⇑⪆44434∕⩚⇑⪆123421≝⊿⇑⪆13310))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22659,"operation_count":12,"complexity_ratio":1888.25,"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":1518,"base":5},"right_expr":{"type":"numeric_atoms","value":3739,"base":5}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3338,"base":5},"right_expr":{"type":"numeric_atoms","value":3550,"base":5}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1681,"base":5}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3899,"base":5},"right_expr":{"type":"numeric_atoms","value":3520,"base":5}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1044,"base":5},"right_expr":{"type":"numeric_atoms","value":3119,"base":5}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":4861,"base":5},"right_expr":{"type":"numeric_atoms","value":1080,"base":5}}}}},"used_operators":["g7Hmc5v1ko","Ez1Nq5fNfI","TpPTUOHfaN","UMwdvZNt44","Nsiff2A1zJ","AdZkA7nFnk","srAu1WTS94","DmTXOeWf9t","jLgFTUHLKL","z9ffQ9n5Zr","7YooWSwCyH","OKKcZfAt5B"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","AHs5Up7iyr","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","dWAJyo7jo9","14qkJME0vr","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rJVOvQCfKK","2DDjHMKMc0","12rbrZMWeM"],"result":"⇑⪆-142143","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1518","layer":4},{"info":"number node, value=3739","layer":4},{"info":"compute binary expreesion, left_input=1518, right_input=3739, 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=3338","layer":4},{"info":"number node, value=3550","layer":4},{"info":"compute binary expreesion, left_input=3338, right_input=3550, 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 = 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=1681","layer":4},{"info":"compute unary expreesion, input=1681, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5043","layer":3},{"info":"number node, value=3899","layer":4},{"info":"number node, value=3520","layer":4},{"info":"compute binary expreesion, left_input=3899, right_input=3520, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-94214","layer":3},{"info":"compute binary expreesion, left_input=-5043, right_input=-94214, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=4470","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4470, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=1044","layer":4},{"info":"number node, value=3119","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=3119, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1044","layer":3},{"info":"number node, value=4861","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=4861, right_input=1080, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-7554","layer":3},{"info":"compute binary expreesion, left_input=1044, right_input=-7554, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute unary expreesion, input=-487, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4568","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=4568, 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=-5923","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆22033⇡⇂⇑⪆104424+⇶⊼⇑⪆101323⊴⇑⪆103200)⪬((⨵≀≌⇑⪆23211)⋅⇍⇑⪆111044⊲⩕⊾⇑⪆103040)⩌⋺(↩(⇑⪆13134∪⫐⇑⪆44434∕⩚⇑⪆123421≝⊿⇑⪆13310))=⇑⪆-142143","reverse_text":"⇑⪆-142143=(⇑⪆22033⇡⇂⇑⪆104424+⇶⊼⇑⪆101323⊴⇑⪆103200)⪬((⨵≀≌⇑⪆23211)⋅⇍⇑⪆111044⊲⩕⊾⇑⪆103040)⩌⋺(↩(⇑⪆13134∪⫐⇑⪆44434∕⩚⇑⪆123421≝⊿⇑⪆13310))","cot":[{"info":"⇑⪆22033⇡⇂⇑⪆104424=NaN","layer":3},{"info":"⇑⪆101323⊴⇑⪆103200=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"⨵≀≌⇑⪆23211=⇑⪆-130133","layer":3},{"info":"⇑⪆111044⊲⩕⊾⇑⪆103040=⇑⪆-11003324","layer":3},{"info":"⇑⪆-130133⋅⇍⇑⪆-11003324=⇑⪆120340","layer":2},{"info":"NaN⪬⇑⪆120340=⇑⪆14414","layer":1},{"info":"⇑⪆13134∪⫐⇑⪆44434=⇑⪆13134","layer":3},{"info":"⇑⪆123421≝⊿⇑⪆13310=⇑⪆-220204","layer":3},{"info":"⇑⪆13134∕⩚⇑⪆-220204=⇑⪆-3422","layer":2},{"info":"↩⇑⪆-3422=⇑⪆121233","layer":1},{"info":"⇑⪆14414⩌⋺⇑⪆121233=⇑⪆-142143","layer":0}]}
{"id":543,"expression_no_base_symbol":"($1788$⪎↠$2942$)⇻⋧≁($2851$∌$3354$)⫥∨⫟($8206$⋥⋵⩄$2668$)↹⊜($1036$⫸⊐$3075$)⋅⇍(⩏⊷≩(≉$5608$)⪇≇⋚$2595$⋣⋖$3321$)","expression":"(⇑⪆24123⪎↠⇑⪆43232)⇻⋧≁(⇑⪆42401∌⇑⪆101404)⫥∨⫟(⇑⪆230311⋥⋵⩄⇑⪆41133)↹⊜(⇑⪆13121⫸⊐⇑⪆44300)⋅⇍(⩏⊷≩(≉⇑⪆134413)⪇≇⋚⇑⪆40340⋣⋖⇑⪆101241)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":441,"operation_count":12,"complexity_ratio":36.75,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1788,"base":5},"right_expr":{"type":"numeric_atoms","value":2942,"base":5}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2851,"base":5},"right_expr":{"type":"numeric_atoms","value":3354,"base":5}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":8206,"base":5},"right_expr":{"type":"numeric_atoms","value":2668,"base":5}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1036,"base":5},"right_expr":{"type":"numeric_atoms","value":3075,"base":5}}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5608,"base":5}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2595,"base":5},"right_expr":{"type":"numeric_atoms","value":3321,"base":5}}}}},"used_operators":["AdZkA7nFnk","KYD54nUTWz","jCPkEVoL5K","3tVxb0NHM4","8cLx32lpNA","9bazX3JMtO","7t3wd0Fuz7","mqXw5SEYmG","uOZ1tnYMDE","3sJ7IOPOlU","e1ybzncUwg","J0M6qkBnIM"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","8HhzD0ZcuI","rGHVDoGpnC","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","23Mk6UjR3U","12rbrZMWeM","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⇑⪆-42","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1788","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=1788, right_input=2942, 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=2851","layer":4},{"info":"number node, value=3354","layer":4},{"info":"compute binary expreesion, left_input=2851, right_input=3354, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3354","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-3354, 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=8206","layer":4},{"info":"number node, value=2668","layer":4},{"info":"compute binary expreesion, left_input=8206, right_input=2668, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1036","layer":4},{"info":"number node, value=3075","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=3075, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12175","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=12175, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-97496","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-97496, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=5608","layer":4},{"info":"compute unary expreesion, input=5608, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6139","layer":3},{"info":"number node, value=2595","layer":4},{"info":"number node, value=3321","layer":4},{"info":"compute binary expreesion, left_input=2595, right_input=3321, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2595","layer":3},{"info":"compute binary expreesion, left_input=6139, right_input=2595, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=614","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=614, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆24123⪎↠⇑⪆43232)⇻⋧≁(⇑⪆42401∌⇑⪆101404)⫥∨⫟(⇑⪆230311⋥⋵⩄⇑⪆41133)↹⊜(⇑⪆13121⫸⊐⇑⪆44300)⋅⇍(⩏⊷≩(≉⇑⪆134413)⪇≇⋚⇑⪆40340⋣⋖⇑⪆101241)=⇑⪆-42","reverse_text":"⇑⪆-42=(⇑⪆24123⪎↠⇑⪆43232)⇻⋧≁(⇑⪆42401∌⇑⪆101404)⫥∨⫟(⇑⪆230311⋥⋵⩄⇑⪆41133)↹⊜(⇑⪆13121⫸⊐⇑⪆44300)⋅⇍(⩏⊷≩(≉⇑⪆134413)⪇≇⋚⇑⪆40340⋣⋖⇑⪆101241)","cot":[{"info":"⇑⪆24123⪎↠⇑⪆43232=⇑⪆1120","layer":3},{"info":"⇑⪆42401∌⇑⪆101404=⇑⪆-101404","layer":3},{"info":"⇑⪆1120⇻⋧≁⇑⪆-101404=⇑⪆0","layer":2},{"info":"⇑⪆230311⋥⋵⩄⇑⪆41133=⇑⪆423","layer":3},{"info":"⇑⪆13121⫸⊐⇑⪆44300=⇑⪆342200","layer":3},{"info":"⇑⪆423↹⊜⇑⪆342200=⇑⪆-11104441","layer":2},{"info":"⇑⪆0⫥∨⫟⇑⪆-11104441=NaN","layer":1},{"info":"≉⇑⪆134413=⇑⪆144024","layer":3},{"info":"⇑⪆40340⋣⋖⇑⪆101241=⇑⪆40340","layer":3},{"info":"⇑⪆144024⪇≇⋚⇑⪆40340=⇑⪆0","layer":2},{"info":"⩏⊷≩⇑⪆0=⇑⪆4424","layer":1},{"info":"NaN⋅⇍⇑⪆4424=⇑⪆-42","layer":0}]}
{"id":544,"expression_no_base_symbol":"($1599$⩘$5442$⇋≉)⪬($1420$↢$1505$⋾⨃∁($2337$⩱))⫸⇳(($2504$⫣⪄⊒$3528$⊋≦⊧$1468$⨽∌$6638$)≫≃)","expression":"(⇑⪆22344⩘⇑⪆133232⇋≉)⪬(⇑⪆21140↢⇑⪆22010⋾⨃∁(⇑⪆33322⩱))⫸⇳((⇑⪆40004⫣⪄⊒⇑⪆103103⊋≦⊧⇑⪆21333⨽∌⇑⪆203023)≫≃)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":15121,"operation_count":11,"complexity_ratio":1374.6363636363637,"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":1599,"base":5},"right_expr":{"type":"numeric_atoms","value":5442,"base":5}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1420,"base":5},"right_expr":{"type":"numeric_atoms","value":1505,"base":5}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":2337,"base":5}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2504,"base":5},"right_expr":{"type":"numeric_atoms","value":3528,"base":5}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1468,"base":5},"right_expr":{"type":"numeric_atoms","value":6638,"base":5}}}}},"used_operators":["gx7XJ7hdpj","Ez1Nq5fNfI","XIabStNQrY","cHh1gJQ2o6","212REbPD9h","WR6HLWljOP","uyq1hVkAcj","X99M06cbEe","oRDoc9rAEX","RabNbG55vr","9samAPKr6k"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1599","layer":4},{"info":"number node, value=5442","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=5442, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=222","layer":2},{"info":"number node, value=1420","layer":4},{"info":"number node, value=1505","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=1505, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=936","layer":3},{"info":"number node, value=2337","layer":4},{"info":"compute unary expreesion, input=2337, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-14272","layer":3},{"info":"compute binary expreesion, left_input=936, right_input=-14272, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=2037071010","layer":2},{"info":"compute binary expreesion, left_input=222, right_input=2037071010, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=2504","layer":4},{"info":"number node, value=3528","layer":4},{"info":"compute binary expreesion, left_input=2504, right_input=3528, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-16672","layer":3},{"info":"number node, value=1468","layer":4},{"info":"number node, value=6638","layer":4},{"info":"compute binary expreesion, left_input=1468, right_input=6638, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-16672, 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":"compute unary expreesion, input=192, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1785","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=1785, 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":5,"result_base":5,"text":"(⇑⪆22344⩘⇑⪆133232⇋≉)⪬(⇑⪆21140↢⇑⪆22010⋾⨃∁(⇑⪆33322⩱))⫸⇳((⇑⪆40004⫣⪄⊒⇑⪆103103⊋≦⊧⇑⪆21333⨽∌⇑⪆203023)≫≃)=⇑⪆0","reverse_text":"⇑⪆0=(⇑⪆22344⩘⇑⪆133232⇋≉)⪬(⇑⪆21140↢⇑⪆22010⋾⨃∁(⇑⪆33322⩱))⫸⇳((⇑⪆40004⫣⪄⊒⇑⪆103103⊋≦⊧⇑⪆21333⨽∌⇑⪆203023)≫≃)","cot":[{"info":"⇑⪆22344⩘⇑⪆133232=⇑⪆1120","layer":3},{"info":"⇑⪆1120⇋≉=⇑⪆1342","layer":2},{"info":"⇑⪆21140↢⇑⪆22010=⇑⪆12221","layer":3},{"info":"⇑⪆33322⩱=⇑⪆-424042","layer":3},{"info":"⇑⪆12221⋾⨃∁⇑⪆-424042=⇑⪆13132442233020","layer":2},{"info":"⇑⪆1342⪬⇑⪆13132442233020=⇑⪆14414","layer":1},{"info":"⇑⪆40004⫣⪄⊒⇑⪆103103=⇑⪆-1013142","layer":3},{"info":"⇑⪆21333⨽∌⇑⪆203023=⇑⪆0","layer":3},{"info":"⇑⪆-1013142⊋≦⊧⇑⪆0=⇑⪆1232","layer":2},{"info":"⇑⪆1232≫≃=⇑⪆24120","layer":1},{"info":"⇑⪆14414⫸⇳⇑⪆24120=⇑⪆0","layer":0}]}
{"id":545,"expression_no_base_symbol":"≪(⋗⩴⪓((⨦⪝$5038$)⇋≉))","expression":"≪(⋗⩴⪓((⨦⪝⇑⪆130123)⇋≉))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":105,"operation_count":4,"complexity_ratio":26.25,"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":5038,"base":5}}}}},"used_operators":["Qtd6bqUJcN","nOKPl9n5zu","XIabStNQrY","SUjycxNXIR"],"dependent_operators":["3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7"],"result":"⇑⪆12123","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5038","layer":4},{"info":"compute unary expreesion, input=5038, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute unary expreesion, input=-1884, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-3866","layer":2},{"info":"compute unary expreesion, input=-3866, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=18084","layer":1},{"info":"compute unary expreesion, input=18084, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":0}],"base":5,"result_base":5,"text":"≪(⋗⩴⪓((⨦⪝⇑⪆130123)⇋≉))=⇑⪆12123","reverse_text":"⇑⪆12123=≪(⋗⩴⪓((⨦⪝⇑⪆130123)⇋≉))","cot":[{"info":"⨦⪝⇑⪆130123=⇑⪆-30014","layer":3},{"info":"⇑⪆-30014⇋≉=⇑⪆-110431","layer":2},{"info":"⋗⩴⪓⇑⪆-110431=⇑⪆1034314","layer":1},{"info":"≪⇑⪆1034314=⇑⪆12123","layer":0}]}
{"id":546,"expression_no_base_symbol":"((⊗($1246$⋹))⩷∴(($2483$⋅⇍$5594$)⨎(⪓⩚$2556$)))⫭","expression":"((⊗(⇑⪆14441⋹))⩷∴((⇑⪆34413⋅⇍⇑⪆134334)⨎(⪓⩚⇑⪆40211)))⫭","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3474,"operation_count":7,"complexity_ratio":496.2857142857143,"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":1246,"base":5}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2483,"base":5},"right_expr":{"type":"numeric_atoms","value":5594,"base":5}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":2556,"base":5}}}}},"used_operators":["t4WUHVGj7f","9FxExcQeMw","RhiyfpczSx","opAxDRczMr","rJVOvQCfKK","AdZkA7nFnk","u0R0Locfp2"],"dependent_operators":["NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","rysDP5nf3Z","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ"],"result":"⇑⪆-21","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1246","layer":4},{"info":"compute unary expreesion, input=1246, 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 = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=400","layer":2},{"info":"number node, value=2483","layer":4},{"info":"number node, value=5594","layer":4},{"info":"compute binary expreesion, left_input=2483, right_input=5594, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=2556","layer":4},{"info":"compute unary expreesion, input=2556, 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=-22, right_input=426, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=426","layer":2},{"info":"compute binary expreesion, left_input=400, right_input=426, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-84","layer":1},{"info":"compute unary expreesion, input=-84, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=-11","layer":0}],"base":5,"result_base":5,"text":"((⊗(⇑⪆14441⋹))⩷∴((⇑⪆34413⋅⇍⇑⪆134334)⨎(⪓⩚⇑⪆40211)))⫭=⇑⪆-21","reverse_text":"⇑⪆-21=((⊗(⇑⪆14441⋹))⩷∴((⇑⪆34413⋅⇍⇑⪆134334)⨎(⪓⩚⇑⪆40211)))⫭","cot":[{"info":"⇑⪆14441⋹=⇑⪆-40","layer":3},{"info":"⊗⇑⪆-40=⇑⪆3100","layer":2},{"info":"⇑⪆34413⋅⇍⇑⪆134334=⇑⪆-42","layer":3},{"info":"⪓⩚⇑⪆40211=⇑⪆3201","layer":3},{"info":"⇑⪆-42⨎⇑⪆3201=⇑⪆3201","layer":2},{"info":"⇑⪆3100⩷∴⇑⪆3201=⇑⪆-314","layer":1},{"info":"⇑⪆-314⫭=⇑⪆-21","layer":0}]}
{"id":547,"expression_no_base_symbol":"((⫎≠⋺($7243$⫚↹⊑$2649$))+⇶⊼(≘$4900$)⪍↜⋙($3221$⪨⊡$1218$))≌(($2346$↡⊰⫅$5444$)⨜⨶$1380$⫁$1305$⇤($1833$≎⪠$1309$⩹$2366$+⇶⊼$2199$))","expression":"((⫎≠⋺(⇑⪆212433⫚↹⊑⇑⪆41044))+⇶⊼(≘⇑⪆124100)⪍↜⋙(⇑⪆100341⪨⊡⇑⪆14333))≌((⇑⪆33341↡⊰⫅⇑⪆133234)⨜⨶⇑⪆21010⫁⇑⪆20210⇤(⇑⪆24313≎⪠⇑⪆20214⩹⇑⪆33431+⇶⊼⇑⪆32244))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":95836,"operation_count":14,"complexity_ratio":6845.428571428572,"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":7243,"base":5},"right_expr":{"type":"numeric_atoms","value":2649,"base":5}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":4900,"base":5}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3221,"base":5},"right_expr":{"type":"numeric_atoms","value":1218,"base":5}}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2346,"base":5},"right_expr":{"type":"numeric_atoms","value":5444,"base":5}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1380,"base":5},"right_expr":{"type":"numeric_atoms","value":1305,"base":5}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1833,"base":5},"right_expr":{"type":"numeric_atoms","value":1309,"base":5}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2366,"base":5},"right_expr":{"type":"numeric_atoms","value":2199,"base":5}}}}},"used_operators":["lyWz822IDG","TpPTUOHfaN","LYeZOJ0nQG","dfKe02y8D2","L05ObWFQCd","tcjXMdvYtA","kuIXHzHcAH","YSKBFp38Pu","HiPekx5b7W","VCtxkLNOzz","0ajvFaJAv0","2Wsdkap16l","aNhz54LH3e"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","AHs5Up7iyr","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7243","layer":4},{"info":"number node, value=2649","layer":4},{"info":"compute binary expreesion, left_input=7243, right_input=2649, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":2},{"info":"number node, value=4900","layer":4},{"info":"compute unary expreesion, input=4900, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=10805284","layer":3},{"info":"number node, value=3221","layer":4},{"info":"number node, value=1218","layer":4},{"info":"compute binary expreesion, left_input=3221, right_input=1218, 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=10805284, right_input=0, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=21610568","layer":2},{"info":"compute binary expreesion, left_input=-709, right_input=21610568, 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=2346","layer":4},{"info":"number node, value=5444","layer":4},{"info":"compute binary expreesion, left_input=2346, right_input=5444, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=10888","layer":3},{"info":"number node, value=1380","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=1305, 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=10888, right_input=160, 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=110623","layer":2},{"info":"number node, value=1833","layer":4},{"info":"number node, value=1309","layer":4},{"info":"compute binary expreesion, left_input=1833, right_input=1309, 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=2366","layer":4},{"info":"number node, value=2199","layer":4},{"info":"compute binary expreesion, left_input=2366, right_input=2199, 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=19558, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=110623, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":1},{"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":0}],"base":5,"result_base":5,"text":"((⫎≠⋺(⇑⪆212433⫚↹⊑⇑⪆41044))+⇶⊼(≘⇑⪆124100)⪍↜⋙(⇑⪆100341⪨⊡⇑⪆14333))≌((⇑⪆33341↡⊰⫅⇑⪆133234)⨜⨶⇑⪆21010⫁⇑⪆20210⇤(⇑⪆24313≎⪠⇑⪆20214⩹⇑⪆33431+⇶⊼⇑⪆32244))=NaN","reverse_text":"NaN=((⫎≠⋺(⇑⪆212433⫚↹⊑⇑⪆41044))+⇶⊼(≘⇑⪆124100)⪍↜⋙(⇑⪆100341⪨⊡⇑⪆14333))≌((⇑⪆33341↡⊰⫅⇑⪆133234)⨜⨶⇑⪆21010⫁⇑⪆20210⇤(⇑⪆24313≎⪠⇑⪆20214⩹⇑⪆33431+⇶⊼⇑⪆32244))","cot":[{"info":"⇑⪆212433⫚↹⊑⇑⪆41044=⇑⪆-3242","layer":3},{"info":"⫎≠⋺⇑⪆-3242=⇑⪆-10314","layer":2},{"info":"≘⇑⪆124100=⇑⪆10231232114","layer":3},{"info":"⇑⪆100341⪨⊡⇑⪆14333=⇑⪆0","layer":3},{"info":"⇑⪆10231232114⪍↜⋙⇑⪆0=⇑⪆21013014233","layer":2},{"info":"⇑⪆-10314+⇶⊼⇑⪆21013014233=NaN","layer":1},{"info":"⇑⪆33341↡⊰⫅⇑⪆133234=⇑⪆322023","layer":3},{"info":"⇑⪆21010⫁⇑⪆20210=⇑⪆1120","layer":3},{"info":"⇑⪆322023⨜⨶⇑⪆1120=⇑⪆12014443","layer":2},{"info":"⇑⪆24313≎⪠⇑⪆20214=⇑⪆1111213","layer":3},{"info":"⇑⪆33431+⇶⊼⇑⪆32244=NaN","layer":3},{"info":"⇑⪆1111213⩹NaN=NaN","layer":2},{"info":"⇑⪆12014443⇤NaN=NaN","layer":1},{"info":"NaN≌NaN=NaN","layer":0}]}
{"id":548,"expression_no_base_symbol":"(((⨛$6867$)⪥$2335$⊮⊟↴$1158$)⨔⇊(⨆≐≲(→⩰$2095$)))⊕∕(($1245$⫁⪎$2940$)⨿($5076$⨲∙)↳∿⪆((≇⪴$1278$)⋹))","expression":"(((⨛⇑⪆204432)⪥⇑⪆33320⊮⊟↴⇑⪆14113)⨔⇊(⨆≐≲(→⩰⇑⪆31340)))⊕∕((⇑⪆14440⫁⪎⇑⪆43230)⨿(⇑⪆130301⨲∙)↳∿⪆((≇⪴⇑⪆20103)⋹))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11060,"operation_count":13,"complexity_ratio":850.7692307692307,"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":6867,"base":5}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2335,"base":5},"right_expr":{"type":"numeric_atoms","value":1158,"base":5}}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":2095,"base":5}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1245,"base":5},"right_expr":{"type":"numeric_atoms","value":2940,"base":5}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":5076,"base":5}}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1278,"base":5}}}}},"used_operators":["9cloC0Ngie","JclMnS0uGI","QbnwKVWMIQ","CoMdbyAt7R","QDVgd2eftb","Bi9z9uYZqW","o8Pngz0Tml","Cw4SuJJGHO","abYXlopdE0","xRrnTEsQ6j","cRahaglYVE","opAxDRczMr","zoVPnxeHJ3"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"⇑⪆232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6867","layer":4},{"info":"compute unary expreesion, input=6867, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=2335","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=2335, right_input=1158, 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 = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":2},{"info":"number node, value=2095","layer":4},{"info":"compute unary expreesion, input=2095, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((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=-116, right_input=-168548, 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=1245","layer":4},{"info":"number node, value=2940","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=2940, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1695","layer":3},{"info":"number node, value=5076","layer":4},{"info":"compute unary expreesion, input=5076, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=66618150","layer":3},{"info":"compute binary expreesion, left_input=-1695, right_input=66618150, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=1278","layer":4},{"info":"compute unary expreesion, input=1278, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-2494","layer":3},{"info":"compute unary expreesion, input=-2494, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-20, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=67","layer":0}],"base":5,"result_base":5,"text":"(((⨛⇑⪆204432)⪥⇑⪆33320⊮⊟↴⇑⪆14113)⨔⇊(⨆≐≲(→⩰⇑⪆31340)))⊕∕((⇑⪆14440⫁⪎⇑⪆43230)⨿(⇑⪆130301⨲∙)↳∿⪆((≇⪴⇑⪆20103)⋹))=⇑⪆232","reverse_text":"⇑⪆232=(((⨛⇑⪆204432)⪥⇑⪆33320⊮⊟↴⇑⪆14113)⨔⇊(⨆≐≲(→⩰⇑⪆31340)))⊕∕((⇑⪆14440⫁⪎⇑⪆43230)⨿(⇑⪆130301⨲∙)↳∿⪆((≇⪴⇑⪆20103)⋹))","cot":[{"info":"⨛⇑⪆204432=NaN","layer":3},{"info":"⇑⪆33320⊮⊟↴⇑⪆14113=⇑⪆0","layer":3},{"info":"NaN⪥⇑⪆0=⇑⪆-431","layer":2},{"info":"→⩰⇑⪆31340=NaN","layer":3},{"info":"⨆≐≲NaN=⇑⪆-20343143","layer":2},{"info":"⇑⪆-431⨔⇊⇑⪆-20343143=⇑⪆232","layer":1},{"info":"⇑⪆14440⫁⪎⇑⪆43230=⇑⪆-23240","layer":3},{"info":"⇑⪆130301⨲∙=⇑⪆114023240100","layer":3},{"info":"⇑⪆-23240⨿⇑⪆114023240100=⇑⪆232","layer":2},{"info":"≇⪴⇑⪆20103=⇑⪆-34434","layer":3},{"info":"⇑⪆-34434⋹=⇑⪆-40","layer":2},{"info":"⇑⪆232↳∿⪆⇑⪆-40=NaN","layer":1},{"info":"⇑⪆232⊕∕NaN=⇑⪆232","layer":0}]}
{"id":549,"expression_no_base_symbol":"(⊊≼∋(($1384$↡⊰⫅$6856$)≹⇙⪍$1439$∳⫺$1452$))⩧⪆($1134$↼⊘⨖$3743$≃($2924$⫥∨⫟$4754$))⨥⫆(($2296$⪶≀⋏$2274$)⪪($1005$⨲∙))","expression":"(⊊≼∋((⇑⪆21014↡⊰⫅⇑⪆204411)≹⇙⪍⇑⪆21224∳⫺⇑⪆21302))⩧⪆(⇑⪆14014↼⊘⨖⇑⪆104433≃(⇑⪆43144⫥∨⫟⇑⪆123004))⨥⫆((⇑⪆33141⪶≀⋏⇑⪆33044)⪪(⇑⪆13010⨲∙))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":166110,"operation_count":12,"complexity_ratio":13842.5,"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":1384,"base":5},"right_expr":{"type":"numeric_atoms","value":6856,"base":5}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1439,"base":5},"right_expr":{"type":"numeric_atoms","value":1452,"base":5}}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1134,"base":5},"right_expr":{"type":"numeric_atoms","value":3743,"base":5}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2924,"base":5},"right_expr":{"type":"numeric_atoms","value":4754,"base":5}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2296,"base":5},"right_expr":{"type":"numeric_atoms","value":2274,"base":5}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":1005,"base":5}}}}},"used_operators":["Ikt5ks8PT7","FWz7pXsQhA","AHs5Up7iyr","VCtxkLNOzz","AzXXKTstlj","yXekIHxTD4","YbVcJGFEVW","bPywburJMS","KYD54nUTWz","xD69zh8xqp","zR4jO40bMj","cRahaglYVE"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","B5M0gjZbta","jCPkEVoL5K","dWAJyo7jo9","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG"],"result":"⇑⪆1","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1384","layer":4},{"info":"number node, value=6856","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=6856, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=13712","layer":3},{"info":"number node, value=1439","layer":4},{"info":"number node, value=1452","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=1452, 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=13712, right_input=-260, 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 = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":1},{"info":"number node, value=1134","layer":4},{"info":"number node, value=3743","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=3743, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=7264","layer":3},{"info":"number node, value=2924","layer":4},{"info":"number node, value=4754","layer":4},{"info":"compute binary expreesion, left_input=2924, right_input=4754, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7264, 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=2296","layer":4},{"info":"number node, value=2274","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=2274, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-11668","layer":3},{"info":"number node, value=1005","layer":4},{"info":"compute unary expreesion, input=1005, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=11789922","layer":3},{"info":"compute binary expreesion, left_input=-11668, right_input=11789922, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"compute binary expreesion, left_input=69, right_input=-6206, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=1","layer":0}],"base":5,"result_base":5,"text":"(⊊≼∋((⇑⪆21014↡⊰⫅⇑⪆204411)≹⇙⪍⇑⪆21224∳⫺⇑⪆21302))⩧⪆(⇑⪆14014↼⊘⨖⇑⪆104433≃(⇑⪆43144⫥∨⫟⇑⪆123004))⨥⫆((⇑⪆33141⪶≀⋏⇑⪆33044)⪪(⇑⪆13010⨲∙))=⇑⪆1","reverse_text":"⇑⪆1=(⊊≼∋((⇑⪆21014↡⊰⫅⇑⪆204411)≹⇙⪍⇑⪆21224∳⫺⇑⪆21302))⩧⪆(⇑⪆14014↼⊘⨖⇑⪆104433≃(⇑⪆43144⫥∨⫟⇑⪆123004))⨥⫆((⇑⪆33141⪶≀⋏⇑⪆33044)⪪(⇑⪆13010⨲∙))","cot":[{"info":"⇑⪆21014↡⊰⫅⇑⪆204411=⇑⪆414322","layer":3},{"info":"⇑⪆21224∳⫺⇑⪆21302=⇑⪆-2020","layer":3},{"info":"⇑⪆414322≹⇙⪍⇑⪆-2020=NaN","layer":2},{"info":"⊊≼∋NaN=NaN","layer":1},{"info":"⇑⪆14014↼⊘⨖⇑⪆104433=⇑⪆213024","layer":3},{"info":"⇑⪆43144⫥∨⫟⇑⪆123004=NaN","layer":3},{"info":"⇑⪆213024≃NaN=⇑⪆234","layer":2},{"info":"⇑⪆33141⪶≀⋏⇑⪆33044=⇑⪆-333133","layer":3},{"info":"⇑⪆13010⨲∙=⇑⪆11004234142","layer":3},{"info":"⇑⪆-333133⪪⇑⪆11004234142=⇑⪆-144311","layer":2},{"info":"⇑⪆234⨥⫆⇑⪆-144311=⇑⪆-1","layer":1},{"info":"NaN⩧⪆⇑⪆-1=⇑⪆1","layer":0}]}
{"id":550,"expression_no_base_symbol":"(((⇤←$2028$)≚⋢)⨵⪆(⪨⨬($3057$⇷$1033$)))⇣⩺⋵(↪⫪⫘$2371$⇂≾⫗$4751$)⨜⨶(($3926$∣$5605$)∥⊢⊲$5759$⪎↠$3264$)","expression":"(((⇤←⇑⪆31103)≚⋢)⨵⪆(⪨⨬(⇑⪆44212⇷⇑⪆13113)))⇣⩺⋵(↪⫪⫘⇑⪆33441⇂≾⫗⇑⪆123001)⨜⨶((⇑⪆111201∣⇑⪆134410)∥⊢⊲⇑⪆141014⪎↠⇑⪆101024)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":44321,"operation_count":12,"complexity_ratio":3693.4166666666665,"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":2028,"base":5}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3057,"base":5},"right_expr":{"type":"numeric_atoms","value":1033,"base":5}}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2371,"base":5},"right_expr":{"type":"numeric_atoms","value":4751,"base":5}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3926,"base":5},"right_expr":{"type":"numeric_atoms","value":5605,"base":5}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":5759,"base":5},"right_expr":{"type":"numeric_atoms","value":3264,"base":5}}}}},"used_operators":["F4yD0voBRQ","2DQ55sFlQl","MahUMFw56D","jfAgQ2OQeM","5obUd6DV38","mp7IySMOzn","HiPekx5b7W","9dWsAM3GFt","aBQ6xLxuTc","v1UQAVDJRr","PPChnnnBFF","3tVxb0NHM4"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","T2fj7uvVaJ","nlCqmYiOvY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","EBcxylXtPf","rGHVDoGpnC","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"⇑⪆-20024","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2028","layer":4},{"info":"compute unary expreesion, input=2028, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-8774","layer":3},{"info":"compute unary expreesion, input=-8774, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"number node, value=3057","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=3057, right_input=1033, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2066","layer":3},{"info":"compute unary expreesion, input=2066, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=-89, right_input=-526, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2371","layer":4},{"info":"number node, value=4751","layer":4},{"info":"compute binary expreesion, left_input=2371, right_input=4751, 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 = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"number node, value=3926","layer":4},{"info":"number node, value=5605","layer":4},{"info":"compute binary expreesion, left_input=3926, right_input=5605, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3926","layer":3},{"info":"number node, value=5759","layer":4},{"info":"number node, value=3264","layer":4},{"info":"compute binary expreesion, left_input=5759, right_input=3264, 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=3926, right_input=160, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=0, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=983","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=983, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-1264","layer":0}],"base":5,"result_base":5,"text":"(((⇤←⇑⪆31103)≚⋢)⨵⪆(⪨⨬(⇑⪆44212⇷⇑⪆13113)))⇣⩺⋵(↪⫪⫘⇑⪆33441⇂≾⫗⇑⪆123001)⨜⨶((⇑⪆111201∣⇑⪆134410)∥⊢⊲⇑⪆141014⪎↠⇑⪆101024)=⇑⪆-20024","reverse_text":"⇑⪆-20024=(((⇤←⇑⪆31103)≚⋢)⨵⪆(⪨⨬(⇑⪆44212⇷⇑⪆13113)))⇣⩺⋵(↪⫪⫘⇑⪆33441⇂≾⫗⇑⪆123001)⨜⨶((⇑⪆111201∣⇑⪆134410)∥⊢⊲⇑⪆141014⪎↠⇑⪆101024)","cot":[{"info":"⇤←⇑⪆31103=⇑⪆-240044","layer":3},{"info":"⇑⪆-240044≚⋢=⇑⪆-324","layer":2},{"info":"⇑⪆44212⇷⇑⪆13113=⇑⪆31231","layer":3},{"info":"⪨⨬⇑⪆31231=⇑⪆-4101","layer":2},{"info":"⇑⪆-324⨵⪆⇑⪆-4101=⇑⪆1120","layer":1},{"info":"⇑⪆33441⇂≾⫗⇑⪆123001=⇑⪆-10201","layer":3},{"info":"↪⫪⫘⇑⪆-10201=⇑⪆40","layer":2},{"info":"⇑⪆111201∣⇑⪆134410=⇑⪆111201","layer":3},{"info":"⇑⪆141014⪎↠⇑⪆101024=⇑⪆1120","layer":3},{"info":"⇑⪆111201∥⊢⊲⇑⪆1120=⇑⪆0","layer":2},{"info":"⇑⪆40⨜⨶⇑⪆0=⇑⪆12413","layer":1},{"info":"⇑⪆1120⇣⩺⋵⇑⪆12413=⇑⪆-20024","layer":0}]}
{"id":551,"expression_no_base_symbol":"(↥≼⋛(⫵↿$1436$))⫘(($1174$⇐≅)⊹∫⫚($1154$⇄$2700$))⋛((($2479$⊓⋫)⊋≦⊧$1910$⇂≾⫗$1815$)⇽⩪)","expression":"(↥≼⋛(⫵↿⇑⪆21221))⫘((⇑⪆14144⇐≅)⊹∫⫚(⇑⪆14104⇄⇑⪆41300))⋛(((⇑⪆34404⊓⋫)⊋≦⊧⇑⪆30120⇂≾⫗⇑⪆24230)⇽⩪)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":548,"operation_count":11,"complexity_ratio":49.81818181818182,"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":1436,"base":5}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":1174,"base":5}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1154,"base":5},"right_expr":{"type":"numeric_atoms","value":2700,"base":5}}}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":2479,"base":5}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1910,"base":5},"right_expr":{"type":"numeric_atoms","value":1815,"base":5}}}}},"used_operators":["YbUVn0Rbpy","48vC8HMD2b","x5lMkHmzsq","ivGwdmUAux","uWAJUKEvyW","wEfv7U73WA","3EYGwJThht","FonBHBYJbU","oRDoc9rAEX","IqGBaFP0uj","aBQ6xLxuTc"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"⇑⪆-333","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1436","layer":4},{"info":"compute unary expreesion, input=1436, 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 = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":2},{"info":"number node, value=1174","layer":4},{"info":"compute unary expreesion, input=1174, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=3490","layer":3},{"info":"number node, value=1154","layer":4},{"info":"number node, value=2700","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=2700, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3490, 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=-113, right_input=0, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=140533","layer":1},{"info":"number node, value=2479","layer":4},{"info":"compute unary expreesion, input=2479, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-2607","layer":3},{"info":"number node, value=1910","layer":4},{"info":"number node, value=1815","layer":4},{"info":"compute binary expreesion, left_input=1910, right_input=1815, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-2607, right_input=-676, 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 = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=-246","layer":1},{"info":"compute binary expreesion, left_input=140533, right_input=-246, 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=-93","layer":0}],"base":5,"result_base":5,"text":"(↥≼⋛(⫵↿⇑⪆21221))⫘((⇑⪆14144⇐≅)⊹∫⫚(⇑⪆14104⇄⇑⪆41300))⋛(((⇑⪆34404⊓⋫)⊋≦⊧⇑⪆30120⇂≾⫗⇑⪆24230)⇽⩪)=⇑⪆-333","reverse_text":"⇑⪆-333=(↥≼⋛(⫵↿⇑⪆21221))⫘((⇑⪆14144⇐≅)⊹∫⫚(⇑⪆14104⇄⇑⪆41300))⋛(((⇑⪆34404⊓⋫)⊋≦⊧⇑⪆30120⇂≾⫗⇑⪆24230)⇽⩪)","cot":[{"info":"⫵↿⇑⪆21221=⇑⪆1022","layer":3},{"info":"↥≼⋛⇑⪆1022=⇑⪆-423","layer":2},{"info":"⇑⪆14144⇐≅=⇑⪆102430","layer":3},{"info":"⇑⪆14104⇄⇑⪆41300=⇑⪆0","layer":3},{"info":"⇑⪆102430⊹∫⫚⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆-423⫘⇑⪆0=⇑⪆13444113","layer":1},{"info":"⇑⪆34404⊓⋫=⇑⪆-40412","layer":3},{"info":"⇑⪆30120⇂≾⫗⇑⪆24230=⇑⪆-10201","layer":3},{"info":"⇑⪆-40412⊋≦⊧⇑⪆-10201=⇑⪆1232","layer":2},{"info":"⇑⪆1232⇽⩪=⇑⪆-1441","layer":1},{"info":"⇑⪆13444113⋛⇑⪆-1441=⇑⪆-333","layer":0}]}
{"id":552,"expression_no_base_symbol":"((($1711$⇗⋫)⩱)⩺⪪((⨛$2544$)∷$1578$→⨶⪴$2767$))≝⊿(($1602$⩒⫫$3806$)⇂≾⫗($3088$≌$5134$)⫸⇳(⨵≀≌$7132$≌$2841$))","expression":"(((⇑⪆23321⇗⋫)⩱)⩺⪪((⨛⇑⪆40134)∷⇑⪆22303→⨶⪴⇑⪆42032))≝⊿((⇑⪆22402⩒⫫⇑⪆110211)⇂≾⫗(⇑⪆44323≌⇑⪆131014)⫸⇳(⨵≀≌⇑⪆212012≌⇑⪆42331))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8560,"operation_count":13,"complexity_ratio":658.4615384615385,"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":1711,"base":5}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":2544,"base":5}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1578,"base":5},"right_expr":{"type":"numeric_atoms","value":2767,"base":5}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1602,"base":5},"right_expr":{"type":"numeric_atoms","value":3806,"base":5}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":3088,"base":5},"right_expr":{"type":"numeric_atoms","value":5134,"base":5}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":7132,"base":5},"right_expr":{"type":"numeric_atoms","value":2841,"base":5}}}}},"used_operators":["OKKcZfAt5B","uvdQJvN4PV","uyq1hVkAcj","hpqmaQFPrd","D3AQDKkPcf","CoMdbyAt7R","bF6eod5Gvf","gx7XJ7hdpj","aBQ6xLxuTc","KFSx94NKJn","lyWz822IDG","srAu1WTS94"],"dependent_operators":["12rbrZMWeM","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","rxpJgHHUmx","9FxExcQeMw","NTOWxs364D","7j4O788W3g","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","8w2t5hMYqp","9FxExcQeMw","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1711","layer":4},{"info":"compute unary expreesion, input=1711, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=nan","layer":2},{"info":"number node, value=2544","layer":4},{"info":"compute unary expreesion, input=2544, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=1578","layer":4},{"info":"number node, value=2767","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=2767, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-8301","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8301, 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 = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"number node, value=1602","layer":4},{"info":"number node, value=3806","layer":4},{"info":"compute binary expreesion, left_input=1602, right_input=3806, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1300","layer":3},{"info":"number node, value=3088","layer":4},{"info":"number node, value=5134","layer":4},{"info":"compute binary expreesion, left_input=3088, right_input=5134, 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=1300, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"number node, value=7132","layer":4},{"info":"number node, value=2841","layer":4},{"info":"compute binary expreesion, left_input=7132, right_input=2841, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆23321⇗⋫)⩱)⩺⪪((⨛⇑⪆40134)∷⇑⪆22303→⨶⪴⇑⪆42032))≝⊿((⇑⪆22402⩒⫫⇑⪆110211)⇂≾⫗(⇑⪆44323≌⇑⪆131014)⫸⇳(⨵≀≌⇑⪆212012≌⇑⪆42331))=NaN","reverse_text":"NaN=(((⇑⪆23321⇗⋫)⩱)⩺⪪((⨛⇑⪆40134)∷⇑⪆22303→⨶⪴⇑⪆42032))≝⊿((⇑⪆22402⩒⫫⇑⪆110211)⇂≾⫗(⇑⪆44323≌⇑⪆131014)⫸⇳(⨵≀≌⇑⪆212012≌⇑⪆42331))","cot":[{"info":"⇑⪆23321⇗⋫=NaN","layer":3},{"info":"NaN⩱=NaN","layer":2},{"info":"⨛⇑⪆40134=NaN","layer":3},{"info":"⇑⪆22303→⨶⪴⇑⪆42032=⇑⪆-231201","layer":3},{"info":"NaN∷⇑⪆-231201=NaN","layer":2},{"info":"NaN⩺⪪NaN=NaN","layer":1},{"info":"⇑⪆22402⩒⫫⇑⪆110211=⇑⪆20200","layer":3},{"info":"⇑⪆44323≌⇑⪆131014=NaN","layer":3},{"info":"⇑⪆20200⇂≾⫗NaN=NaN","layer":2},{"info":"⇑⪆212012≌⇑⪆42331=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"NaN⫸⇳NaN=NaN","layer":1},{"info":"NaN≝⊿NaN=NaN","layer":0}]}
{"id":553,"expression_no_base_symbol":"(($4699$↙$4233$⫸⊐($2361$-$2531$))⫩)⋩≍≻","expression":"((⇑⪆122244↙⇑⪆113413⫸⊐(⇑⪆33421-⇑⪆40111))⫩)⋩≍≻","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5226,"operation_count":5,"complexity_ratio":1045.2,"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":4699,"base":5},"right_expr":{"type":"numeric_atoms","value":4233,"base":5}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2361,"base":5},"right_expr":{"type":"numeric_atoms","value":2531,"base":5}}}}},"used_operators":["WYd1w68Nbz","6aG7x05OhS","mqXw5SEYmG","yyfyN0ffXY","rysDP5nf3Z"],"dependent_operators":["P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","dWAJyo7jo9","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4699","layer":4},{"info":"number node, value=4233","layer":4},{"info":"compute binary expreesion, left_input=4699, right_input=4233, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12699","layer":3},{"info":"number node, value=2361","layer":4},{"info":"number node, value=2531","layer":4},{"info":"compute binary expreesion, left_input=2361, right_input=2531, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-170","layer":3},{"info":"compute binary expreesion, left_input=-12699, right_input=-170, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute unary expreesion, input=968, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆122244↙⇑⪆113413⫸⊐(⇑⪆33421-⇑⪆40111))⫩)⋩≍≻=NaN","reverse_text":"NaN=((⇑⪆122244↙⇑⪆113413⫸⊐(⇑⪆33421-⇑⪆40111))⫩)⋩≍≻","cot":[{"info":"⇑⪆122244↙⇑⪆113413=⇑⪆-401244","layer":3},{"info":"⇑⪆33421-⇑⪆40111=⇑⪆-1140","layer":3},{"info":"⇑⪆-401244⫸⊐⇑⪆-1140=⇑⪆12333","layer":2},{"info":"⇑⪆12333⫩=NaN","layer":1},{"info":"NaN⋩≍≻=NaN","layer":0}]}
{"id":554,"expression_no_base_symbol":"(($8698$⫠)*(≇⪴$2502$))≳⇉($3402$⋛$6341$⨒($3564$⇼⇔∾$1762$))⋷(↨⩢⫨((⇨$4810$)+(⊊≼∋$1854$)))","expression":"((⇑⪆234243⫠)*(≇⪴⇑⪆40002))≳⇉(⇑⪆102102⋛⇑⪆200331⨒(⇑⪆103224⇼⇔∾⇑⪆24022))⋷(↨⩢⫨((⇨⇑⪆123220)+(⊊≼∋⇑⪆24404)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":128147,"operation_count":12,"complexity_ratio":10678.916666666666,"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":8698,"base":5}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2502,"base":5}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3402,"base":5},"right_expr":{"type":"numeric_atoms","value":6341,"base":5}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3564,"base":5},"right_expr":{"type":"numeric_atoms","value":1762,"base":5}}}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":4810,"base":5}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1854,"base":5}}}}},"used_operators":["23Mk6UjR3U","V0kx6qeWkN","9HNa5Wba9A","6SnOT2rOjz","zoVPnxeHJ3","y75s1iXyHd","YbUVn0Rbpy","tifHPKVTfV","Z5CJsN7DuW","W4YGzv6Whe","G9tJMlZ94a","FWz7pXsQhA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","k8jYdgA6NY","B5M0gjZbta","jCPkEVoL5K"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8698","layer":4},{"info":"compute unary expreesion, input=8698, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=2502","layer":4},{"info":"compute unary expreesion, input=2502, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-6166","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6166, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=3402","layer":4},{"info":"number node, value=6341","layer":4},{"info":"compute binary expreesion, left_input=3402, right_input=6341, 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=-101574","layer":3},{"info":"number node, value=3564","layer":4},{"info":"number node, value=1762","layer":4},{"info":"compute binary expreesion, left_input=3564, right_input=1762, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1802","layer":3},{"info":"compute binary expreesion, left_input=-101574, right_input=-1802, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=0","layer":1},{"info":"number node, value=4810","layer":4},{"info":"compute unary expreesion, input=4810, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=1854","layer":4},{"info":"compute unary expreesion, input=1854, 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=0, right_input=-447, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆234243⫠)*(≇⪴⇑⪆40002))≳⇉(⇑⪆102102⋛⇑⪆200331⨒(⇑⪆103224⇼⇔∾⇑⪆24022))⋷(↨⩢⫨((⇨⇑⪆123220)+(⊊≼∋⇑⪆24404)))=⇑⪆0","reverse_text":"⇑⪆0=((⇑⪆234243⫠)*(≇⪴⇑⪆40002))≳⇉(⇑⪆102102⋛⇑⪆200331⨒(⇑⪆103224⇼⇔∾⇑⪆24022))⋷(↨⩢⫨((⇨⇑⪆123220)+(⊊≼∋⇑⪆24404)))","cot":[{"info":"⇑⪆234243⫠=⇑⪆0","layer":3},{"info":"≇⪴⇑⪆40002=⇑⪆-144131","layer":3},{"info":"⇑⪆0*⇑⪆-144131=⇑⪆0","layer":2},{"info":"⇑⪆102102⋛⇑⪆200331=⇑⪆-11222244","layer":3},{"info":"⇑⪆103224⇼⇔∾⇑⪆24022=⇑⪆-24202","layer":3},{"info":"⇑⪆-11222244⨒⇑⪆-24202=⇑⪆1","layer":2},{"info":"⇑⪆0≳⇉⇑⪆1=⇑⪆0","layer":1},{"info":"⇨⇑⪆123220=⇑⪆0","layer":3},{"info":"⊊≼∋⇑⪆24404=⇑⪆-3242","layer":3},{"info":"⇑⪆0+⇑⪆-3242=⇑⪆-3242","layer":2},{"info":"↨⩢⫨⇑⪆-3242=⇑⪆0","layer":1},{"info":"⇑⪆0⋷⇑⪆0=⇑⪆0","layer":0}]}
{"id":555,"expression_no_base_symbol":"(⊥$2230$⫁⪎$2834$⇍⊗(≋$2976$))⩧⪆($1833$⪨⊡$1071$)≨($2087$-$1475$)⊝⪿⪼(⊖∈$1974$)⪝($2452$⨻⩈⩔$7075$)","expression":"(⊥⇑⪆32410⫁⪎⇑⪆42314⇍⊗(≋⇑⪆43401))⩧⪆(⇑⪆24313⪨⊡⇑⪆13241)≨(⇑⪆31322-⇑⪆21400)⊝⪿⪼(⊖∈⇑⪆30344)⪝(⇑⪆34302⨻⩈⩔⇑⪆211300)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":61748,"operation_count":12,"complexity_ratio":5145.666666666667,"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":2230,"base":5},"right_expr":{"type":"numeric_atoms","value":2834,"base":5}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":2976,"base":5}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1833,"base":5},"right_expr":{"type":"numeric_atoms","value":1071,"base":5}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2087,"base":5},"right_expr":{"type":"numeric_atoms","value":1475,"base":5}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":1974,"base":5}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2452,"base":5},"right_expr":{"type":"numeric_atoms","value":7075,"base":5}}}}},"used_operators":["Ikt5ks8PT7","Q3PJZHRvZv","5uvYHDjeKN","xRrnTEsQ6j","61wBmkZwlr","3Oe9XWJUTD","0KMCeP1Jsh","kuIXHzHcAH","rysDP5nf3Z","wicAB68Tmb","YFxL8Sc2Zy","nEsXyWgiOK"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","fu6greOZ01","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","7j4O788W3g","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"⇑⪆-24133243","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2230","layer":4},{"info":"number node, value=2834","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=2834, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-604","layer":3},{"info":"number node, value=2976","layer":4},{"info":"compute unary expreesion, input=2976, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=2976","layer":3},{"info":"compute binary expreesion, left_input=-604, right_input=2976, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-241","layer":1},{"info":"number node, value=1833","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=1833, right_input=1071, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2087","layer":4},{"info":"number node, value=1475","layer":4},{"info":"compute binary expreesion, left_input=2087, right_input=1475, op_id = rysDP5nf3Z binary_op_definition= 'None', output=612","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=612, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=2476","layer":2},{"info":"number node, value=1974","layer":4},{"info":"compute unary expreesion, input=1974, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=33886","layer":3},{"info":"number node, value=2452","layer":4},{"info":"number node, value=7075","layer":4},{"info":"compute binary expreesion, left_input=2452, right_input=7075, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=11215","layer":3},{"info":"compute binary expreesion, left_input=33886, right_input=11215, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-91083","layer":2},{"info":"compute binary expreesion, left_input=2476, right_input=-91083, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=224198","layer":1},{"info":"compute binary expreesion, left_input=-241, right_input=224198, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-224198","layer":0}],"base":5,"result_base":5,"text":"(⊥⇑⪆32410⫁⪎⇑⪆42314⇍⊗(≋⇑⪆43401))⩧⪆(⇑⪆24313⪨⊡⇑⪆13241)≨(⇑⪆31322-⇑⪆21400)⊝⪿⪼(⊖∈⇑⪆30344)⪝(⇑⪆34302⨻⩈⩔⇑⪆211300)=⇑⪆-24133243","reverse_text":"⇑⪆-24133243=(⊥⇑⪆32410⫁⪎⇑⪆42314⇍⊗(≋⇑⪆43401))⩧⪆(⇑⪆24313⪨⊡⇑⪆13241)≨(⇑⪆31322-⇑⪆21400)⊝⪿⪼(⊖∈⇑⪆30344)⪝(⇑⪆34302⨻⩈⩔⇑⪆211300)","cot":[{"info":"⇑⪆32410⫁⪎⇑⪆42314=⇑⪆-4404","layer":3},{"info":"≋⇑⪆43401=⇑⪆43401","layer":3},{"info":"⇑⪆-4404⇍⊗⇑⪆43401=⇑⪆-1434","layer":2},{"info":"⊥⇑⪆-1434=⇑⪆-1431","layer":1},{"info":"⇑⪆24313⪨⊡⇑⪆13241=⇑⪆0","layer":3},{"info":"⇑⪆31322-⇑⪆21400=⇑⪆4422","layer":3},{"info":"⇑⪆0≨⇑⪆4422=⇑⪆34401","layer":2},{"info":"⊖∈⇑⪆30344=⇑⪆2041021","layer":3},{"info":"⇑⪆34302⨻⩈⩔⇑⪆211300=⇑⪆324330","layer":3},{"info":"⇑⪆2041021⪝⇑⪆324330=⇑⪆-10403313","layer":2},{"info":"⇑⪆34401⊝⪿⪼⇑⪆-10403313=⇑⪆24133243","layer":1},{"info":"⇑⪆-1431⩧⪆⇑⪆24133243=⇑⪆-24133243","layer":0}]}
{"id":556,"expression_no_base_symbol":"⫖→(((⫎≠⋺$1026$)⋐⇩⊬)⇋≉)","expression":"⫖→(((⫎≠⋺⇑⪆13101)⋐⇩⊬)⇋≉)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":309,"operation_count":4,"complexity_ratio":77.25,"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":1026,"base":5}}}}},"used_operators":["U4ylXWHChL","XIabStNQrY","JuuLT1NoCs","LYeZOJ0nQG"],"dependent_operators":["tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","rysDP5nf3Z","t8gj7n24qd","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"⇑⪆1202","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1026","layer":4},{"info":"compute unary expreesion, input=1026, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":1},{"info":"compute unary expreesion, input=-98, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":0}],"base":5,"result_base":5,"text":"⫖→(((⫎≠⋺⇑⪆13101)⋐⇩⊬)⇋≉)=⇑⪆1202","reverse_text":"⇑⪆1202=⫖→(((⫎≠⋺⇑⪆13101)⋐⇩⊬)⇋≉)","cot":[{"info":"⫎≠⋺⇑⪆13101=⇑⪆0","layer":3},{"info":"⇑⪆0⋐⇩⊬=⇑⪆0","layer":2},{"info":"⇑⪆0⇋≉=⇑⪆-343","layer":1},{"info":"⫖→⇑⪆-343=⇑⪆1202","layer":0}]}
{"id":557,"expression_no_base_symbol":"(($3046$⫦⪉$1093$)⇉⇱⇎)≝⊿($1023$≃⋄)↢($1269$∝$1802$)⫲","expression":"((⇑⪆44141⫦⪉⇑⪆13333)⇉⇱⇎)≝⊿(⇑⪆13043≃⋄)↢(⇑⪆20034∝⇑⪆24202)⫲","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":127,"operation_count":7,"complexity_ratio":18.142857142857142,"tree":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":3046,"base":5},"right_expr":{"type":"numeric_atoms","value":1093,"base":5}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":1023,"base":5}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1269,"base":5},"right_expr":{"type":"numeric_atoms","value":1802,"base":5}}}}},"used_operators":["9xnGDUPbC6","OKKcZfAt5B","MRPaB8lBjK","wscyQdcy20","WR6HLWljOP","aN9a90urxU","cTDWOvIxvz"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","12rbrZMWeM","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","uFcxV4UQCh","jLgFTUHLKL","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"⇑⪆40001","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3046","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=3046, right_input=1093, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-1192","layer":3},{"info":"compute unary expreesion, input=-1192, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=218","layer":2},{"info":"number node, value=1023","layer":4},{"info":"compute unary expreesion, input=1023, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"number node, value=1269","layer":4},{"info":"number node, value=1802","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=1802, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1274","layer":3},{"info":"compute binary expreesion, left_input=764, right_input=1274, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=280","layer":2},{"info":"compute binary expreesion, left_input=218, right_input=280, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-1311","layer":1},{"info":"compute unary expreesion, input=-1311, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=2501","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆44141⫦⪉⇑⪆13333)⇉⇱⇎)≝⊿(⇑⪆13043≃⋄)↢(⇑⪆20034∝⇑⪆24202)⫲=⇑⪆40001","reverse_text":"⇑⪆40001=((⇑⪆44141⫦⪉⇑⪆13333)⇉⇱⇎)≝⊿(⇑⪆13043≃⋄)↢(⇑⪆20034∝⇑⪆24202)⫲","cot":[{"info":"⇑⪆44141⫦⪉⇑⪆13333=⇑⪆-14232","layer":3},{"info":"⇑⪆-14232⇉⇱⇎=⇑⪆1333","layer":2},{"info":"⇑⪆13043≃⋄=⇑⪆11024","layer":3},{"info":"⇑⪆20034∝⇑⪆24202=⇑⪆20044","layer":3},{"info":"⇑⪆11024↢⇑⪆20044=⇑⪆2110","layer":2},{"info":"⇑⪆1333≝⊿⇑⪆2110=⇑⪆-20221","layer":1},{"info":"⇑⪆-20221⫲=⇑⪆40001","layer":0}]}
{"id":558,"expression_no_base_symbol":"(($1449$⨐⩸⫘$1855$)⪎↠(⨙⪌$1180$)≄⊠(⩦⊞($7235$⨽$1143$)))≄⊠((≛$2048$)⋆⋳)∛(($2617$⫰⋱$1468$)⊨($6435$↱$1145$))","expression":"((⇑⪆21244⨐⩸⫘⇑⪆24410)⪎↠(⨙⪌⇑⪆14210)≄⊠(⩦⊞(⇑⪆212420⨽⇑⪆14033)))≄⊠((≛⇑⪆31143)⋆⋳)∛((⇑⪆40432⫰⋱⇑⪆21333)⊨(⇑⪆201220↱⇑⪆14040))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8471,"operation_count":13,"complexity_ratio":651.6153846153846,"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":1449,"base":5},"right_expr":{"type":"numeric_atoms","value":1855,"base":5}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1180,"base":5}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7235,"base":5},"right_expr":{"type":"numeric_atoms","value":1143,"base":5}}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":2048,"base":5}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2617,"base":5},"right_expr":{"type":"numeric_atoms","value":1468,"base":5}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":6435,"base":5},"right_expr":{"type":"numeric_atoms","value":1145,"base":5}}}}},"used_operators":["vXNesLlMH1","3tVxb0NHM4","fu6greOZ01","vEGLkm4Z2k","u7fv1HBiaC","8HhzD0ZcuI","w2537kitQq","6MpZysEj17","W7eaUhjymW","vg4gO5BX6G","6o9Blt3TJ6","SR5kFfdi6N"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","3ViojmjbAp","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"⇑⪆22000","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1449","layer":4},{"info":"number node, value=1855","layer":4},{"info":"compute binary expreesion, left_input=1449, right_input=1855, 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=1180","layer":4},{"info":"compute unary expreesion, input=1180, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":2},{"info":"number node, value=7235","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=7235, right_input=1143, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-157037790","layer":3},{"info":"compute unary expreesion, input=-157037790, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-314075636","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-314075636, 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=2048","layer":4},{"info":"compute unary expreesion, input=2048, 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 unary expreesion, input=-10, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-12","layer":2},{"info":"number node, value=2617","layer":4},{"info":"number node, value=1468","layer":4},{"info":"compute binary expreesion, left_input=2617, right_input=1468, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2584","layer":3},{"info":"number node, value=6435","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=6435, right_input=1145, 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=-2913","layer":3},{"info":"compute binary expreesion, left_input=-2584, right_input=-2913, 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=-12, right_input=-174, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=1500, right_input=67, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆21244⨐⩸⫘⇑⪆24410)⪎↠(⨙⪌⇑⪆14210)≄⊠(⩦⊞(⇑⪆212420⨽⇑⪆14033)))≄⊠((≛⇑⪆31143)⋆⋳)∛((⇑⪆40432⫰⋱⇑⪆21333)⊨(⇑⪆201220↱⇑⪆14040))=⇑⪆22000","reverse_text":"⇑⪆22000=((⇑⪆21244⨐⩸⫘⇑⪆24410)⪎↠(⨙⪌⇑⪆14210)≄⊠(⩦⊞(⇑⪆212420⨽⇑⪆14033)))≄⊠((≛⇑⪆31143)⋆⋳)∛((⇑⪆40432⫰⋱⇑⪆21333)⊨(⇑⪆201220↱⇑⪆14040))","cot":[{"info":"⇑⪆21244⨐⩸⫘⇑⪆24410=NaN","layer":3},{"info":"⨙⪌⇑⪆14210=⇑⪆11433","layer":3},{"info":"NaN⪎↠⇑⪆11433=NaN","layer":2},{"info":"⇑⪆212420⨽⇑⪆14033=⇑⪆-310200202130","layer":3},{"info":"⩦⊞⇑⪆-310200202130=⇑⪆-1120400410021","layer":2},{"info":"NaN≄⊠⇑⪆-1120400410021=⇑⪆22000","layer":1},{"info":"≛⇑⪆31143=⇑⪆-20","layer":3},{"info":"⇑⪆-20⋆⋳=⇑⪆-22","layer":2},{"info":"⇑⪆40432⫰⋱⇑⪆21333=⇑⪆-40314","layer":3},{"info":"⇑⪆201220↱⇑⪆14040=⇑⪆-43123","layer":3},{"info":"⇑⪆-40314⊨⇑⪆-43123=⇑⪆-1144","layer":2},{"info":"⇑⪆-22∛⇑⪆-1144=⇑⪆232","layer":1},{"info":"⇑⪆22000≄⊠⇑⪆232=⇑⪆22000","layer":0}]}
{"id":559,"expression_no_base_symbol":"(∤↝($4220$⩺⪪$4044$↱(∤$3005$)))∠↢(($3728$⨚⇆$2279$⫲)∪⫐(⫎≠⋺($1573$⪥$3415$)))","expression":"(∤↝(⇑⪆113340⩺⪪⇑⪆112134↱(∤⇑⪆44010)))∠↢((⇑⪆104403⨚⇆⇑⪆33104⫲)∪⫐(⫎≠⋺(⇑⪆22243⪥⇑⪆102130)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":26373,"operation_count":10,"complexity_ratio":2637.3,"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":4220,"base":5},"right_expr":{"type":"numeric_atoms","value":4044,"base":5}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":3005,"base":5}}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3728,"base":5},"right_expr":{"type":"numeric_atoms","value":2279,"base":5}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1573,"base":5},"right_expr":{"type":"numeric_atoms","value":3415,"base":5}}}}},"used_operators":["KbjG8mgYpV","3UMq87Qwqg","SR5kFfdi6N","uvdQJvN4PV","k2HlF1dBQh","7YooWSwCyH","9xnGDUPbC6","lwHaAYXP2r","LYeZOJ0nQG","QbnwKVWMIQ"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","rJVOvQCfKK","2DDjHMKMc0","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4220","layer":4},{"info":"number node, value=4044","layer":4},{"info":"compute binary expreesion, left_input=4220, right_input=4044, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-3714","layer":3},{"info":"number node, value=3005","layer":4},{"info":"compute unary expreesion, input=3005, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute binary expreesion, left_input=-3714, right_input=9, 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=15634","layer":2},{"info":"compute unary expreesion, input=15634, 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=15634","layer":1},{"info":"number node, value=3728","layer":4},{"info":"number node, value=2279","layer":4},{"info":"compute binary expreesion, left_input=3728, right_input=2279, 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 = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=nan","layer":2},{"info":"number node, value=1573","layer":4},{"info":"number node, value=3415","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=3415, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=10944","layer":3},{"info":"compute unary expreesion, input=10944, 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=nan, right_input=0, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=15634, 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":5,"result_base":5,"text":"(∤↝(⇑⪆113340⩺⪪⇑⪆112134↱(∤⇑⪆44010)))∠↢((⇑⪆104403⨚⇆⇑⪆33104⫲)∪⫐(⫎≠⋺(⇑⪆22243⪥⇑⪆102130)))=NaN","reverse_text":"NaN=(∤↝(⇑⪆113340⩺⪪⇑⪆112134↱(∤⇑⪆44010)))∠↢((⇑⪆104403⨚⇆⇑⪆33104⫲)∪⫐(⫎≠⋺(⇑⪆22243⪥⇑⪆102130)))","cot":[{"info":"⇑⪆113340⩺⪪⇑⪆112134=⇑⪆-104324","layer":3},{"info":"∤⇑⪆44010=⇑⪆14","layer":3},{"info":"⇑⪆-104324↱⇑⪆14=⇑⪆1000014","layer":2},{"info":"∤↝⇑⪆1000014=⇑⪆1000014","layer":1},{"info":"⇑⪆104403⨚⇆⇑⪆33104=NaN","layer":3},{"info":"NaN⫲=NaN","layer":2},{"info":"⇑⪆22243⪥⇑⪆102130=⇑⪆322234","layer":3},{"info":"⫎≠⋺⇑⪆322234=⇑⪆0","layer":2},{"info":"NaN∪⫐⇑⪆0=NaN","layer":1},{"info":"⇑⪆1000014∠↢NaN=NaN","layer":0}]}
{"id":560,"expression_no_base_symbol":"(∤$1218$⊭↱$1158$)∊∟⩊($2034$⫯⪬∳$1541$∸)⋷$5757$⇡⇂$7901$≭(≸≮$1316$)≎⊠⪸(($2843$≀⩗∶$1634$)≣⋋)","expression":"(∤⇑⪆14333⊭↱⇑⪆14113)∊∟⩊(⇑⪆31114⫯⪬∳⇑⪆22131∸)⋷⇑⪆141012⇡⇂⇑⪆223101≭(≸≮⇑⪆20231)≎⊠⪸((⇑⪆42333≀⩗∶⇑⪆23014)≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":51198,"operation_count":12,"complexity_ratio":4266.5,"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":1218,"base":5},"right_expr":{"type":"numeric_atoms","value":1158,"base":5}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2034,"base":5},"right_expr":{"type":"numeric_atoms","value":1541,"base":5}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":5757,"base":5},"right_expr":{"type":"numeric_atoms","value":7901,"base":5}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1316,"base":5}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2843,"base":5},"right_expr":{"type":"numeric_atoms","value":1634,"base":5}}}}},"used_operators":["23Mk6UjR3U","ddLRYrp01A","k2HlF1dBQh","COABgblf1C","o20kRiQErp","d7ASUq0ydm","bJkvcejdHO","rxpJgHHUmx","UMwdvZNt44","AljMvE3RRm","Tcnh7f0tEr","8INZBEW696"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"⇑⪆-33","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1218","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=1158, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-115","layer":3},{"info":"compute unary expreesion, input=-115, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"number node, value=2034","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=2034, right_input=1541, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=8662","layer":3},{"info":"compute unary expreesion, input=8662, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=9, right_input=177, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=9","layer":1},{"info":"number node, value=5757","layer":4},{"info":"number node, value=7901","layer":4},{"info":"compute binary expreesion, left_input=5757, right_input=7901, 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=1316","layer":4},{"info":"compute unary expreesion, input=1316, 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=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":"number node, value=2843","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=2843, right_input=1634, 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 = 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=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=9, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-18","layer":0}],"base":5,"result_base":5,"text":"(∤⇑⪆14333⊭↱⇑⪆14113)∊∟⩊(⇑⪆31114⫯⪬∳⇑⪆22131∸)⋷⇑⪆141012⇡⇂⇑⪆223101≭(≸≮⇑⪆20231)≎⊠⪸((⇑⪆42333≀⩗∶⇑⪆23014)≣⋋)=⇑⪆-33","reverse_text":"⇑⪆-33=(∤⇑⪆14333⊭↱⇑⪆14113)∊∟⩊(⇑⪆31114⫯⪬∳⇑⪆22131∸)⋷⇑⪆141012⇡⇂⇑⪆223101≭(≸≮⇑⪆20231)≎⊠⪸((⇑⪆42333≀⩗∶⇑⪆23014)≣⋋)","cot":[{"info":"⇑⪆14333⊭↱⇑⪆14113=⇑⪆-430","layer":3},{"info":"∤⇑⪆-430=⇑⪆14","layer":2},{"info":"⇑⪆31114⫯⪬∳⇑⪆22131=⇑⪆234122","layer":3},{"info":"⇑⪆234122∸=⇑⪆1202","layer":2},{"info":"⇑⪆14∊∟⩊⇑⪆1202=⇑⪆14","layer":1},{"info":"⇑⪆141012⇡⇂⇑⪆223101=NaN","layer":3},{"info":"≸≮⇑⪆20231=NaN","layer":3},{"info":"NaN≭NaN=NaN","layer":2},{"info":"⇑⪆42333≀⩗∶⇑⪆23014=⇑⪆0","layer":3},{"info":"⇑⪆0≣⋋=⇑⪆0","layer":2},{"info":"NaN≎⊠⪸⇑⪆0=NaN","layer":1},{"info":"⇑⪆14⋷NaN=⇑⪆-33","layer":0}]}
{"id":561,"expression_no_base_symbol":"(→⩰$1022$↓$4445$)⨒($7112$⊭↱$5342$↱$4589$⩵∡$2088$)⫌⩉⩟($1168$⨂≜$1580$⋷$1050$∣$4806$)⩧⪆$1937$⇂≾⫗$5431$⪮%⊝($2311$⪣⫩)","expression":"(→⩰⇑⪆13042↓⇑⪆120240)⨒(⇑⪆211422⊭↱⇑⪆132332↱⇑⪆121324⩵∡⇑⪆31323)⫌⩉⩟(⇑⪆14133⨂≜⇑⪆22310⋷⇑⪆13200∣⇑⪆123211)⩧⪆⇑⪆30222⇂≾⫗⇑⪆133211⪮%⊝(⇑⪆33221⪣⫩)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":70773,"operation_count":14,"complexity_ratio":5055.214285714285,"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":1022,"base":5},"right_expr":{"type":"numeric_atoms","value":4445,"base":5}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":7112,"base":5},"right_expr":{"type":"numeric_atoms","value":5342,"base":5}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":4589,"base":5},"right_expr":{"type":"numeric_atoms","value":2088,"base":5}}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1168,"base":5},"right_expr":{"type":"numeric_atoms","value":1580,"base":5}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1050,"base":5},"right_expr":{"type":"numeric_atoms","value":4806,"base":5}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1937,"base":5},"right_expr":{"type":"numeric_atoms","value":5431,"base":5}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":2311,"base":5}}}}},"used_operators":["XIIwhv8d0m","y75s1iXyHd","o8Pngz0Tml","Af076pWI7l","SR5kFfdi6N","COABgblf1C","Y7wcNGrDQJ","Ikt5ks8PT7","23Mk6UjR3U","k1SHOSEABc","PPChnnnBFF","IWmyXbctLI","aBQ6xLxuTc","iuk5sVOGFA"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eewbuw0ToL","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI"],"result":"⇑⪆-200","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1022","layer":4},{"info":"number node, value=4445","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=4445, 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 = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"number node, value=7112","layer":4},{"info":"number node, value=5342","layer":4},{"info":"compute binary expreesion, left_input=7112, right_input=5342, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3535","layer":3},{"info":"number node, value=4589","layer":4},{"info":"number node, value=2088","layer":4},{"info":"compute binary expreesion, left_input=4589, right_input=2088, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-7211","layer":3},{"info":"compute binary expreesion, left_input=-3535, right_input=-7211, 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=-42376","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-42376, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"number node, value=1168","layer":4},{"info":"number node, value=1580","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=1580, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1050","layer":4},{"info":"number node, value=4806","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=4806, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1050","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1050, 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=1937","layer":4},{"info":"number node, value=5431","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=5431, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=2311","layer":4},{"info":"compute unary expreesion, input=2311, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=6900","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=6900, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-1036","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1036, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=1036","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1036, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":5,"result_base":5,"text":"(→⩰⇑⪆13042↓⇑⪆120240)⨒(⇑⪆211422⊭↱⇑⪆132332↱⇑⪆121324⩵∡⇑⪆31323)⫌⩉⩟(⇑⪆14133⨂≜⇑⪆22310⋷⇑⪆13200∣⇑⪆123211)⩧⪆⇑⪆30222⇂≾⫗⇑⪆133211⪮%⊝(⇑⪆33221⪣⫩)=⇑⪆-200","reverse_text":"⇑⪆-200=(→⩰⇑⪆13042↓⇑⪆120240)⨒(⇑⪆211422⊭↱⇑⪆132332↱⇑⪆121324⩵∡⇑⪆31323)⫌⩉⩟(⇑⪆14133⨂≜⇑⪆22310⋷⇑⪆13200∣⇑⪆123211)⩧⪆⇑⪆30222⇂≾⫗⇑⪆133211⪮%⊝(⇑⪆33221⪣⫩)","cot":[{"info":"⇑⪆13042↓⇑⪆120240=⇑⪆-1014","layer":3},{"info":"→⩰⇑⪆-1014=NaN","layer":2},{"info":"⇑⪆211422⊭↱⇑⪆132332=⇑⪆-103120","layer":3},{"info":"⇑⪆121324⩵∡⇑⪆31323=⇑⪆-212321","layer":3},{"info":"⇑⪆-103120↱⇑⪆-212321=⇑⪆-2324001","layer":2},{"info":"NaN⨒⇑⪆-2324001=NaN","layer":1},{"info":"⇑⪆14133⨂≜⇑⪆22310=NaN","layer":3},{"info":"⇑⪆13200∣⇑⪆123211=⇑⪆13200","layer":3},{"info":"NaN⋷⇑⪆13200=NaN","layer":2},{"info":"⇑⪆30222⇂≾⫗⇑⪆133211=⇑⪆-10201","layer":3},{"info":"⇑⪆33221⪣⫩=⇑⪆210100","layer":3},{"info":"⇑⪆-10201⪮%⊝⇑⪆210100=⇑⪆-13121","layer":2},{"info":"NaN⩧⪆⇑⪆-13121=⇑⪆13121","layer":1},{"info":"NaN⫌⩉⩟⇑⪆13121=⇑⪆-200","layer":0}]}
{"id":562,"expression_no_base_symbol":"(⨡↴($3904$⫁⪎$2517$⋷$2786$⇡⇂$5510$))⫯⪬∳(∓⪦(⇁⨣⪵$2426$↤⩊$2080$))","expression":"(⨡↴(⇑⪆111104⫁⪎⇑⪆40032⋷⇑⪆42121⇡⇂⇑⪆134020))⫯⪬∳(∓⪦(⇁⨣⪵⇑⪆34201↤⩊⇑⪆31310))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":30531,"operation_count":8,"complexity_ratio":3816.375,"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":3904,"base":5},"right_expr":{"type":"numeric_atoms","value":2517,"base":5}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2786,"base":5},"right_expr":{"type":"numeric_atoms","value":5510,"base":5}}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2426,"base":5},"right_expr":{"type":"numeric_atoms","value":2080,"base":5}}}}},"used_operators":["d7ASUq0ydm","liw5iZPkLH","23Mk6UjR3U","xRrnTEsQ6j","UMwdvZNt44","D309nIvmXG","inkyxCbjAn","13rbtpv6ld"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","W4YGzv6Whe","P8v4zCKN1o","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","B5M0gjZbta","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=3904","layer":4},{"info":"number node, value=2517","layer":4},{"info":"compute binary expreesion, left_input=3904, right_input=2517, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1387","layer":3},{"info":"number node, value=2786","layer":4},{"info":"number node, value=5510","layer":4},{"info":"compute binary expreesion, left_input=2786, right_input=5510, 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=1387, 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":"compute unary expreesion, input=nan, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=nan","layer":1},{"info":"number node, value=2426","layer":4},{"info":"number node, value=2080","layer":4},{"info":"compute binary expreesion, left_input=2426, right_input=2080, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=nan","layer":1},{"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":0}],"base":5,"result_base":5,"text":"(⨡↴(⇑⪆111104⫁⪎⇑⪆40032⋷⇑⪆42121⇡⇂⇑⪆134020))⫯⪬∳(∓⪦(⇁⨣⪵⇑⪆34201↤⩊⇑⪆31310))=NaN","reverse_text":"NaN=(⨡↴(⇑⪆111104⫁⪎⇑⪆40032⋷⇑⪆42121⇡⇂⇑⪆134020))⫯⪬∳(∓⪦(⇁⨣⪵⇑⪆34201↤⩊⇑⪆31310))","cot":[{"info":"⇑⪆111104⫁⪎⇑⪆40032=⇑⪆21022","layer":3},{"info":"⇑⪆42121⇡⇂⇑⪆134020=NaN","layer":3},{"info":"⇑⪆21022⋷NaN=NaN","layer":2},{"info":"⨡↴NaN=NaN","layer":1},{"info":"⇑⪆34201↤⩊⇑⪆31310=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"∓⪦NaN=NaN","layer":1},{"info":"NaN⫯⪬∳NaN=NaN","layer":0}]}
{"id":563,"expression_no_base_symbol":"((($1067$⨚⇆$2147$)⫩)≦≮≮)↼⊘⨖(($1516$⊾⪯⋞$3578$⊍⩺⋍$1569$⪉⨛$3415$)↸(⨰⫟⨤($6641$⨵⪆$7886$)))","expression":"(((⇑⪆13232⨚⇆⇑⪆32042)⫩)≦≮≮)↼⊘⨖((⇑⪆22031⊾⪯⋞⇑⪆103303⊍⩺⋍⇑⪆22234⪉⨛⇑⪆102130)↸(⨰⫟⨤(⇑⪆203031⨵⪆⇑⪆223021)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8694,"operation_count":10,"complexity_ratio":869.4,"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":1067,"base":5},"right_expr":{"type":"numeric_atoms","value":2147,"base":5}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1516,"base":5},"right_expr":{"type":"numeric_atoms","value":3578,"base":5}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1569,"base":5},"right_expr":{"type":"numeric_atoms","value":3415,"base":5}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6641,"base":5},"right_expr":{"type":"numeric_atoms","value":7886,"base":5}}}}},"used_operators":["bPywburJMS","D4vGDi5EA2","6aG7x05OhS","lwHaAYXP2r","1eCjFl0mb9","OXDGMFPWZM","HK0tfVPux8","EWw2JM7wp4","Tw270M8GLb","2DQ55sFlQl"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=1067","layer":4},{"info":"number node, value=2147","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=2147, 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 = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":1},{"info":"number node, value=1516","layer":4},{"info":"number node, value=3578","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=3578, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=6730","layer":3},{"info":"number node, value=1569","layer":4},{"info":"number node, value=3415","layer":4},{"info":"compute binary expreesion, left_input=1569, right_input=3415, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1507","layer":3},{"info":"compute binary expreesion, left_input=6730, right_input=1507, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=6641","layer":4},{"info":"number node, value=7886","layer":4},{"info":"compute binary expreesion, left_input=6641, right_input=7886, 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 = 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 = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆13232⨚⇆⇑⪆32042)⫩)≦≮≮)↼⊘⨖((⇑⪆22031⊾⪯⋞⇑⪆103303⊍⩺⋍⇑⪆22234⪉⨛⇑⪆102130)↸(⨰⫟⨤(⇑⪆203031⨵⪆⇑⪆223021)))=NaN","reverse_text":"NaN=(((⇑⪆13232⨚⇆⇑⪆32042)⫩)≦≮≮)↼⊘⨖((⇑⪆22031⊾⪯⋞⇑⪆103303⊍⩺⋍⇑⪆22234⪉⨛⇑⪆102130)↸(⨰⫟⨤(⇑⪆203031⨵⪆⇑⪆223021)))","cot":[{"info":"⇑⪆13232⨚⇆⇑⪆32042=NaN","layer":3},{"info":"NaN⫩=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"⇑⪆22031⊾⪯⋞⇑⪆103303=⇑⪆203410","layer":3},{"info":"⇑⪆22234⪉⨛⇑⪆102130=⇑⪆22012","layer":3},{"info":"⇑⪆203410⊍⩺⋍⇑⪆22012=NaN","layer":2},{"info":"⇑⪆203031⨵⪆⇑⪆223021=⇑⪆1120","layer":3},{"info":"⨰⫟⨤⇑⪆1120=NaN","layer":2},{"info":"NaN↸NaN=NaN","layer":1},{"info":"NaN↼⊘⨖NaN=NaN","layer":0}]}
{"id":564,"expression_no_base_symbol":"(($1137$⫒⫫$3419$)⇂≾⫗($6663$⋓$1702$)/(↴⪽⋼$4548$⊲⩕⊾$1170$))⪨⊡(↘$2625$)⩦($1622$⩵∡$3040$)↹⊜($2084$⊹∫⫚$5526$⫦⪉$1891$∼$5611$)","expression":"((⇑⪆14022⫒⫫⇑⪆102134)⇂≾⫗(⇑⪆203123⋓⇑⪆23302)/(↴⪽⋼⇑⪆121143⊲⩕⊾⇑⪆14140))⪨⊡(↘⇑⪆41000)⩦(⇑⪆22442⩵∡⇑⪆44130)↹⊜(⇑⪆31314⊹∫⫚⇑⪆134101⫦⪉⇑⪆30031∼⇑⪆134421)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":427,"operation_count":14,"complexity_ratio":30.5,"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":1137,"base":5},"right_expr":{"type":"numeric_atoms","value":3419,"base":5}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6663,"base":5},"right_expr":{"type":"numeric_atoms","value":1702,"base":5}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4548,"base":5},"right_expr":{"type":"numeric_atoms","value":1170,"base":5}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2625,"base":5}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1622,"base":5},"right_expr":{"type":"numeric_atoms","value":3040,"base":5}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2084,"base":5},"right_expr":{"type":"numeric_atoms","value":5526,"base":5}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1891,"base":5},"right_expr":{"type":"numeric_atoms","value":5611,"base":5}}}}},"used_operators":["kuIXHzHcAH","XhwjNDsVaA","aBQ6xLxuTc","6Ko8hGgeMq","T2fj7uvVaJ","5TUYCnJO6w","DmTXOeWf9t","9bazX3JMtO","0kmYd0q39Y","LdNpr8hQHL","Y7wcNGrDQJ","wscyQdcy20","uWAJUKEvyW","DyGG3AbaNP"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","uFcxV4UQCh","NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⇑⪆20200311","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1137","layer":4},{"info":"number node, value=3419","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=3419, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=6663","layer":4},{"info":"number node, value=1702","layer":4},{"info":"compute binary expreesion, left_input=6663, right_input=1702, 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 = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"number node, value=4548","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=4548, right_input=1170, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-81098","layer":3},{"info":"compute unary expreesion, input=-81098, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=35822","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=35822, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2625","layer":4},{"info":"compute unary expreesion, input=2625, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=273","layer":3},{"info":"number node, value=1622","layer":4},{"info":"number node, value=3040","layer":4},{"info":"compute binary expreesion, left_input=1622, right_input=3040, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-325","layer":3},{"info":"compute binary expreesion, left_input=273, right_input=-325, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=546","layer":2},{"info":"number node, value=2084","layer":4},{"info":"number node, value=5526","layer":4},{"info":"compute binary expreesion, left_input=2084, right_input=5526, 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":"number node, value=1891","layer":4},{"info":"number node, value=5611","layer":4},{"info":"compute binary expreesion, left_input=1891, right_input=5611, 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=-72, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=5044","layer":2},{"info":"compute binary expreesion, left_input=546, right_input=5044, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-40448","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-40448, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=162581","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆14022⫒⫫⇑⪆102134)⇂≾⫗(⇑⪆203123⋓⇑⪆23302)/(↴⪽⋼⇑⪆121143⊲⩕⊾⇑⪆14140))⪨⊡(↘⇑⪆41000)⩦(⇑⪆22442⩵∡⇑⪆44130)↹⊜(⇑⪆31314⊹∫⫚⇑⪆134101⫦⪉⇑⪆30031∼⇑⪆134421)=⇑⪆20200311","reverse_text":"⇑⪆20200311=((⇑⪆14022⫒⫫⇑⪆102134)⇂≾⫗(⇑⪆203123⋓⇑⪆23302)/(↴⪽⋼⇑⪆121143⊲⩕⊾⇑⪆14140))⪨⊡(↘⇑⪆41000)⩦(⇑⪆22442⩵∡⇑⪆44130)↹⊜(⇑⪆31314⊹∫⫚⇑⪆134101⫦⪉⇑⪆30031∼⇑⪆134421)","cot":[{"info":"⇑⪆14022⫒⫫⇑⪆102134=NaN","layer":3},{"info":"⇑⪆203123⋓⇑⪆23302=⇑⪆0","layer":3},{"info":"NaN⇂≾⫗⇑⪆0=NaN","layer":2},{"info":"⇑⪆121143⊲⩕⊾⇑⪆14140=⇑⪆-10043343","layer":3},{"info":"↴⪽⋼⇑⪆-10043343=⇑⪆2121242","layer":2},{"info":"NaN/⇑⪆2121242=NaN","layer":1},{"info":"↘⇑⪆41000=⇑⪆2043","layer":3},{"info":"⇑⪆22442⩵∡⇑⪆44130=⇑⪆-2300","layer":3},{"info":"⇑⪆2043⩦⇑⪆-2300=⇑⪆4141","layer":2},{"info":"⇑⪆31314⊹∫⫚⇑⪆134101=⇑⪆-242","layer":3},{"info":"⇑⪆30031∼⇑⪆134421=NaN","layer":3},{"info":"⇑⪆-242⫦⪉NaN=⇑⪆130134","layer":2},{"info":"⇑⪆4141↹⊜⇑⪆130134=⇑⪆-2243243","layer":1},{"info":"NaN⪨⊡⇑⪆-2243243=⇑⪆20200311","layer":0}]}
{"id":565,"expression_no_base_symbol":"(⫶⊄≣($1001$⇄$3620$≃$2083$⫉⨲⊜$2805$))⊴(⪨⨬($3029$⨽∌$7320$⪔(⇋↷$4887$)))","expression":"(⫶⊄≣(⇑⪆13001⇄⇑⪆103440≃⇑⪆31313⫉⨲⊜⇑⪆42210))⊴(⪨⨬(⇑⪆44104⨽∌⇑⪆213240⪔(⇋↷⇑⪆124022)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":39438,"operation_count":9,"complexity_ratio":4382.0,"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":1001,"base":5},"right_expr":{"type":"numeric_atoms","value":3620,"base":5}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2083,"base":5},"right_expr":{"type":"numeric_atoms","value":2805,"base":5}}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3029,"base":5},"right_expr":{"type":"numeric_atoms","value":7320,"base":5}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":4887,"base":5}}}}},"used_operators":["Nsiff2A1zJ","wxb3vTeyAj","YbVcJGFEVW","3EYGwJThht","WhqkvtTD3t","5obUd6DV38","GjBEYRfMaF","9samAPKr6k","SWo3A1KBJH"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eewbuw0ToL","zVYPLywUTj","T2fj7uvVaJ","nlCqmYiOvY","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"number node, value=3620","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=3620, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=2083","layer":4},{"info":"number node, value=2805","layer":4},{"info":"compute binary expreesion, left_input=2083, right_input=2805, 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 = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-80","layer":2},{"info":"compute unary expreesion, input=-80, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=110449","layer":1},{"info":"number node, value=3029","layer":4},{"info":"number node, value=7320","layer":4},{"info":"compute binary expreesion, left_input=3029, right_input=7320, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=4887","layer":4},{"info":"compute unary expreesion, input=4887, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=39096","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=39096, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=110449, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⫶⊄≣(⇑⪆13001⇄⇑⪆103440≃⇑⪆31313⫉⨲⊜⇑⪆42210))⊴(⪨⨬(⇑⪆44104⨽∌⇑⪆213240⪔(⇋↷⇑⪆124022)))=NaN","reverse_text":"NaN=(⫶⊄≣(⇑⪆13001⇄⇑⪆103440≃⇑⪆31313⫉⨲⊜⇑⪆42210))⊴(⪨⨬(⇑⪆44104⨽∌⇑⪆213240⪔(⇋↷⇑⪆124022)))","cot":[{"info":"⇑⪆13001⇄⇑⪆103440=⇑⪆0","layer":3},{"info":"⇑⪆31313⫉⨲⊜⇑⪆42210=⇑⪆0","layer":3},{"info":"⇑⪆0≃⇑⪆0=⇑⪆-310","layer":2},{"info":"⫶⊄≣⇑⪆-310=⇑⪆12013244","layer":1},{"info":"⇑⪆44104⨽∌⇑⪆213240=⇑⪆0","layer":3},{"info":"⇋↷⇑⪆124022=⇑⪆2222341","layer":3},{"info":"⇑⪆0⪔⇑⪆2222341=NaN","layer":2},{"info":"⪨⨬NaN=NaN","layer":1},{"info":"⇑⪆12013244⊴NaN=NaN","layer":0}]}
{"id":566,"expression_no_base_symbol":"⨮↦↱((⇜⊴$1581$)↙($2992$*$2173$)∷($6703$⩺⪪$1897$)⨼⩣($1067$⪉⨛$1739$))","expression":"⨮↦↱((⇜⊴⇑⪆22311)↙(⇑⪆43432*⇑⪆32143)∷(⇑⪆203303⩺⪪⇑⪆30042)⨼⩣(⇑⪆13232⪉⨛⇑⪆23424))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3070,"operation_count":8,"complexity_ratio":383.75,"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":1581,"base":5}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2992,"base":5},"right_expr":{"type":"numeric_atoms","value":2173,"base":5}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":6703,"base":5},"right_expr":{"type":"numeric_atoms","value":1897,"base":5}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1067,"base":5},"right_expr":{"type":"numeric_atoms","value":1739,"base":5}}}}},"used_operators":["sYcpBQ0cFf","D3AQDKkPcf","yyfyN0ffXY","XwDhCwWbUn","9HNa5Wba9A","JxwMv5le6e","uvdQJvN4PV","EWw2JM7wp4"],"dependent_operators":["OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","9FxExcQeMw","NTOWxs364D","7j4O788W3g","tmPS8pqC7x","DpFCA1CohY","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1581","layer":4},{"info":"compute unary expreesion, input=1581, 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=-359402","layer":3},{"info":"number node, value=2992","layer":4},{"info":"number node, value=2173","layer":4},{"info":"compute binary expreesion, left_input=2992, right_input=2173, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6501616","layer":3},{"info":"compute binary expreesion, left_input=-359402, right_input=6501616, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-359402","layer":2},{"info":"number node, value=6703","layer":4},{"info":"number node, value=1897","layer":4},{"info":"compute binary expreesion, left_input=6703, right_input=1897, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-77794","layer":3},{"info":"number node, value=1067","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=1739, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1677","layer":3},{"info":"compute binary expreesion, left_input=-77794, right_input=1677, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-359402, 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 unary expreesion, input=nan, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⨮↦↱((⇜⊴⇑⪆22311)↙(⇑⪆43432*⇑⪆32143)∷(⇑⪆203303⩺⪪⇑⪆30042)⨼⩣(⇑⪆13232⪉⨛⇑⪆23424))=NaN","reverse_text":"NaN=⨮↦↱((⇜⊴⇑⪆22311)↙(⇑⪆43432*⇑⪆32143)∷(⇑⪆203303⩺⪪⇑⪆30042)⨼⩣(⇑⪆13232⪉⨛⇑⪆23424))","cot":[{"info":"⇜⊴⇑⪆22311=⇑⪆-43000102","layer":3},{"info":"⇑⪆43432*⇑⪆32143=⇑⪆3131022431","layer":3},{"info":"⇑⪆-43000102↙⇑⪆3131022431=⇑⪆-43000102","layer":2},{"info":"⇑⪆203303⩺⪪⇑⪆30042=⇑⪆-4442134","layer":3},{"info":"⇑⪆13232⪉⨛⇑⪆23424=⇑⪆23202","layer":3},{"info":"⇑⪆-4442134⨼⩣⇑⪆23202=NaN","layer":2},{"info":"⇑⪆-43000102∷NaN=NaN","layer":1},{"info":"⨮↦↱NaN=NaN","layer":0}]}
{"id":567,"expression_no_base_symbol":"∤↝(($3214$⫁⪎$7949$⨎$5055$≎⪠$1095$)⪡($3547$⊬⨰$1817$)⨥⫆(⪝⪂⫅$1585$))","expression":"∤↝((⇑⪆100324⫁⪎⇑⪆223244⨎⇑⪆130210≎⪠⇑⪆13340)⪡(⇑⪆103142⊬⨰⇑⪆24232)⨥⫆(⪝⪂⫅⇑⪆22320))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19332,"operation_count":8,"complexity_ratio":2416.5,"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":3214,"base":5},"right_expr":{"type":"numeric_atoms","value":7949,"base":5}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":5055,"base":5},"right_expr":{"type":"numeric_atoms","value":1095,"base":5}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":3547,"base":5},"right_expr":{"type":"numeric_atoms","value":1817,"base":5}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1585,"base":5}}}}},"used_operators":["3UMq87Qwqg","oraRL2iQuh","rJVOvQCfKK","xRrnTEsQ6j","aNhz54LH3e","yXekIHxTD4","s3Fd5m9Dh2","XTarYq4gQB"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9HNa5Wba9A","8w2t5hMYqp"],"result":"⇑⪆-1","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3214","layer":4},{"info":"number node, value=7949","layer":4},{"info":"compute binary expreesion, left_input=3214, right_input=7949, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-4735","layer":3},{"info":"number node, value=5055","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=5055, right_input=1095, 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=-4735, right_input=19558, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=19558","layer":2},{"info":"number node, value=3547","layer":4},{"info":"number node, value=1817","layer":4},{"info":"compute binary expreesion, left_input=3547, right_input=1817, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=9759","layer":3},{"info":"number node, value=1585","layer":4},{"info":"compute unary expreesion, input=1585, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-232995","layer":3},{"info":"compute binary expreesion, left_input=9759, right_input=-232995, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=-1, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, 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=-1","layer":0}],"base":5,"result_base":5,"text":"∤↝((⇑⪆100324⫁⪎⇑⪆223244⨎⇑⪆130210≎⪠⇑⪆13340)⪡(⇑⪆103142⊬⨰⇑⪆24232)⨥⫆(⪝⪂⫅⇑⪆22320))=⇑⪆-1","reverse_text":"⇑⪆-1=∤↝((⇑⪆100324⫁⪎⇑⪆223244⨎⇑⪆130210≎⪠⇑⪆13340)⪡(⇑⪆103142⊬⨰⇑⪆24232)⨥⫆(⪝⪂⫅⇑⪆22320))","cot":[{"info":"⇑⪆100324⫁⪎⇑⪆223244=⇑⪆-122420","layer":3},{"info":"⇑⪆130210≎⪠⇑⪆13340=⇑⪆1111213","layer":3},{"info":"⇑⪆-122420⨎⇑⪆1111213=⇑⪆1111213","layer":2},{"info":"⇑⪆103142⊬⨰⇑⪆24232=⇑⪆303014","layer":3},{"info":"⪝⪂⫅⇑⪆22320=⇑⪆-24423440","layer":3},{"info":"⇑⪆303014⨥⫆⇑⪆-24423440=⇑⪆-1","layer":2},{"info":"⇑⪆1111213⪡⇑⪆-1=⇑⪆-1","layer":1},{"info":"∤↝⇑⪆-1=⇑⪆-1","layer":0}]}
{"id":568,"expression_no_base_symbol":"⨙⪌((($2409$∕⩚$5024$)↢($1461$∕⩚$3634$))⫣⪄⊒($1958$≁↽≥$1317$)⫗⊷⫓(⇁⨣⪵$1954$))","expression":"⨙⪌(((⇑⪆34114∕⩚⇑⪆130044)↢(⇑⪆21321∕⩚⇑⪆104014))⫣⪄⊒(⇑⪆30313≁↽≥⇑⪆20232)⫗⊷⫓(⇁⨣⪵⇑⪆30304))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5279,"operation_count":8,"complexity_ratio":659.875,"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":2409,"base":5},"right_expr":{"type":"numeric_atoms","value":5024,"base":5}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1461,"base":5},"right_expr":{"type":"numeric_atoms","value":3634,"base":5}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1958,"base":5},"right_expr":{"type":"numeric_atoms","value":1317,"base":5}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1954,"base":5}}}}},"used_operators":["vEGLkm4Z2k","RabNbG55vr","WR6HLWljOP","z9ffQ9n5Zr","zashukvMKz","ncHt1X6cMc","inkyxCbjAn"],"dependent_operators":["tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","oWn0xqSxBt","3Oe9XWJUTD","B5M0gjZbta"],"result":"⇑⪆11433","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2409","layer":4},{"info":"number node, value=5024","layer":4},{"info":"compute binary expreesion, left_input=2409, right_input=5024, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2412","layer":3},{"info":"number node, value=1461","layer":4},{"info":"number node, value=3634","layer":4},{"info":"compute binary expreesion, left_input=1461, right_input=3634, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1464","layer":3},{"info":"compute binary expreesion, left_input=-2412, right_input=-1464, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-7752","layer":2},{"info":"number node, value=1958","layer":4},{"info":"number node, value=1317","layer":4},{"info":"compute binary expreesion, left_input=1958, right_input=1317, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=32664","layer":3},{"info":"number node, value=1954","layer":4},{"info":"compute unary expreesion, input=1954, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=32664, 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=-7752, right_input=-134, 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 unary expreesion, input=160, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":0}],"base":5,"result_base":5,"text":"⨙⪌(((⇑⪆34114∕⩚⇑⪆130044)↢(⇑⪆21321∕⩚⇑⪆104014))⫣⪄⊒(⇑⪆30313≁↽≥⇑⪆20232)⫗⊷⫓(⇁⨣⪵⇑⪆30304))=⇑⪆11433","reverse_text":"⇑⪆11433=⨙⪌(((⇑⪆34114∕⩚⇑⪆130044)↢(⇑⪆21321∕⩚⇑⪆104014))⫣⪄⊒(⇑⪆30313≁↽≥⇑⪆20232)⫗⊷⫓(⇁⨣⪵⇑⪆30304))","cot":[{"info":"⇑⪆34114∕⩚⇑⪆130044=⇑⪆-34122","layer":3},{"info":"⇑⪆21321∕⩚⇑⪆104014=⇑⪆-21324","layer":3},{"info":"⇑⪆-34122↢⇑⪆-21324=⇑⪆-222002","layer":2},{"info":"⇑⪆30313≁↽≥⇑⪆20232=⇑⪆2021124","layer":3},{"info":"⇁⨣⪵⇑⪆30304=NaN","layer":3},{"info":"⇑⪆2021124⫗⊷⫓NaN=⇑⪆-1014","layer":2},{"info":"⇑⪆-222002⫣⪄⊒⇑⪆-1014=⇑⪆1120","layer":1},{"info":"⨙⪌⇑⪆1120=⇑⪆11433","layer":0}]}
{"id":569,"expression_no_base_symbol":"(⊖($3747$⪘⨀)⇣⩺⋵($1949$≬⋮$6456$))⋣⋖((($3267$↙$1849$)≬⇓$4777$⪡$1781$)⋝⋈⪟(∐⩳⋚$1002$⇡⇂$3063$))","expression":"(⊖(⇑⪆104442⪘⨀)⇣⩺⋵(⇑⪆30244≬⋮⇑⪆201311))⋣⋖(((⇑⪆101032↙⇑⪆24344)≬⇓⇑⪆123102⪡⇑⪆24111)⋝⋈⪟(∐⩳⋚⇑⪆13002⇡⇂⇑⪆44223))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":33873,"operation_count":11,"complexity_ratio":3079.3636363636365,"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":3747,"base":5}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1949,"base":5},"right_expr":{"type":"numeric_atoms","value":6456,"base":5}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3267,"base":5},"right_expr":{"type":"numeric_atoms","value":1849,"base":5}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4777,"base":5},"right_expr":{"type":"numeric_atoms","value":1781,"base":5}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1002,"base":5},"right_expr":{"type":"numeric_atoms","value":3063,"base":5}}}}},"used_operators":["J0M6qkBnIM","U6pG0PXrV3","F4yD0voBRQ","aA7tF3KVD3","kbkesczE7y","2DDjHMKMc0","jWTQ2TZYIH","yyfyN0ffXY","oraRL2iQuh","SL6IHkK8vl","UMwdvZNt44"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","tmPS8pqC7x","DpFCA1CohY","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"⇑⪆11230142","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3747","layer":4},{"info":"compute unary expreesion, input=3747, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-8075","layer":3},{"info":"number node, value=1949","layer":4},{"info":"number node, value=6456","layer":4},{"info":"compute binary expreesion, left_input=1949, right_input=6456, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-8075, right_input=868, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-33974","layer":2},{"info":"compute unary expreesion, input=-33974, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=101922","layer":1},{"info":"number node, value=3267","layer":4},{"info":"number node, value=1849","layer":4},{"info":"compute binary expreesion, left_input=3267, right_input=1849, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5547","layer":3},{"info":"number node, value=4777","layer":4},{"info":"number node, value=1781","layer":4},{"info":"compute binary expreesion, left_input=4777, right_input=1781, 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=-5547, right_input=107, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=308335964","layer":2},{"info":"number node, value=1002","layer":4},{"info":"number node, value=3063","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=3063, 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 = 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=308335964, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=101922, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=101922","layer":0}],"base":5,"result_base":5,"text":"(⊖(⇑⪆104442⪘⨀)⇣⩺⋵(⇑⪆30244≬⋮⇑⪆201311))⋣⋖(((⇑⪆101032↙⇑⪆24344)≬⇓⇑⪆123102⪡⇑⪆24111)⋝⋈⪟(∐⩳⋚⇑⪆13002⇡⇂⇑⪆44223))=⇑⪆11230142","reverse_text":"⇑⪆11230142=(⊖(⇑⪆104442⪘⨀)⇣⩺⋵(⇑⪆30244≬⋮⇑⪆201311))⋣⋖(((⇑⪆101032↙⇑⪆24344)≬⇓⇑⪆123102⪡⇑⪆24111)⋝⋈⪟(∐⩳⋚⇑⪆13002⇡⇂⇑⪆44223))","cot":[{"info":"⇑⪆104442⪘⨀=⇑⪆-224300","layer":3},{"info":"⇑⪆30244≬⋮⇑⪆201311=⇑⪆11433","layer":3},{"info":"⇑⪆-224300⇣⩺⋵⇑⪆11433=⇑⪆-2041344","layer":2},{"info":"⊖⇑⪆-2041344=⇑⪆11230142","layer":1},{"info":"⇑⪆101032↙⇑⪆24344=⇑⪆-134142","layer":3},{"info":"⇑⪆123102⪡⇑⪆24111=⇑⪆412","layer":3},{"info":"⇑⪆-134142≬⇓⇑⪆412=⇑⪆1112413222324","layer":2},{"info":"⇑⪆13002⇡⇂⇑⪆44223=NaN","layer":3},{"info":"∐⩳⋚NaN=NaN","layer":2},{"info":"⇑⪆1112413222324⋝⋈⪟NaN=NaN","layer":1},{"info":"⇑⪆11230142⋣⋖NaN=⇑⪆11230142","layer":0}]}
{"id":570,"expression_no_base_symbol":"⨰⫟⨤(($6045$⇯⋐)⇌⫙⪟$1001$↬$1355$⫌⩉⩟(⋎⨆$1114$-$2480$))","expression":"⨰⫟⨤((⇑⪆143140⇯⋐)⇌⫙⪟⇑⪆13001↬⇑⪆20410⫌⩉⩟(⋎⨆⇑⪆13424-⇑⪆34410))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":16642511,"operation_count":7,"complexity_ratio":2377501.5714285714,"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":6045,"base":5}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1001,"base":5},"right_expr":{"type":"numeric_atoms","value":1355,"base":5}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1114,"base":5},"right_expr":{"type":"numeric_atoms","value":2480,"base":5}}}}},"used_operators":["Tw270M8GLb","XIIwhv8d0m","AFVx7xoS7T","LkLIoiE525","B5M0gjZbta","E64sFOc4tB","rysDP5nf3Z"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","rGHVDoGpnC","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6045","layer":4},{"info":"compute unary expreesion, input=6045, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=19013","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=1355","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1355, 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=19013, 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=1114","layer":4},{"info":"number node, value=2480","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=2480, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1366","layer":3},{"info":"compute unary expreesion, input=-1366, 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=nan, right_input=8320752, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute unary expreesion, input=-50, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⨰⫟⨤((⇑⪆143140⇯⋐)⇌⫙⪟⇑⪆13001↬⇑⪆20410⫌⩉⩟(⋎⨆⇑⪆13424-⇑⪆34410))=NaN","reverse_text":"NaN=⨰⫟⨤((⇑⪆143140⇯⋐)⇌⫙⪟⇑⪆13001↬⇑⪆20410⫌⩉⩟(⋎⨆⇑⪆13424-⇑⪆34410))","cot":[{"info":"⇑⪆143140⇯⋐=⇑⪆1102023","layer":3},{"info":"⇑⪆13001↬⇑⪆20410=NaN","layer":3},{"info":"⇑⪆1102023⇌⫙⪟NaN=NaN","layer":2},{"info":"⇑⪆13424-⇑⪆34410=⇑⪆-20431","layer":3},{"info":"⋎⨆⇑⪆-20431=⇑⪆4112231002","layer":2},{"info":"NaN⫌⩉⩟⇑⪆4112231002=⇑⪆-200","layer":1},{"info":"⨰⫟⨤⇑⪆-200=NaN","layer":0}]}
{"id":571,"expression_no_base_symbol":"(($2564$↱$2318$)∌($7550$⫸⇳$2017$)⩒⫫($1539$⩒⫫$2670$)≴⪞⇿($7300$⊝⪿⪼$2143$))↞⋁((($2439$↦)∋($5223$⊹≧⊝))∥⊢⊲(($5444$⩠)⊋≦⊧($5629$⫳≱↱$1583$)))","expression":"((⇑⪆40224↱⇑⪆33233)∌(⇑⪆220200⫸⇳⇑⪆31032)⩒⫫(⇑⪆22124⩒⫫⇑⪆41140)≴⪞⇿(⇑⪆213200⊝⪿⪼⇑⪆32033))↞⋁(((⇑⪆34224↦)∋(⇑⪆131343⊹≧⊝))∥⊢⊲((⇑⪆133234⩠)⊋≦⊧(⇑⪆140004⫳≱↱⇑⪆22313)))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":227230,"operation_count":15,"complexity_ratio":15148.666666666666,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2564,"base":5},"right_expr":{"type":"numeric_atoms","value":2318,"base":5}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":7550,"base":5},"right_expr":{"type":"numeric_atoms","value":2017,"base":5}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1539,"base":5},"right_expr":{"type":"numeric_atoms","value":2670,"base":5}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":7300,"base":5},"right_expr":{"type":"numeric_atoms","value":2143,"base":5}}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":2439,"base":5}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":5223,"base":5}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5444,"base":5}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":5629,"base":5},"right_expr":{"type":"numeric_atoms","value":1583,"base":5}}}}},"used_operators":["RqrPlJkxDo","KFSx94NKJn","8cLx32lpNA","SR5kFfdi6N","gx7XJ7hdpj","lvlrscuwVU","3Oe9XWJUTD","v1UQAVDJRr","ukq6epAj5P","fFznvYxMfW","LxFB4K6j0n","oRDoc9rAEX","sJAwomhLZr","ZvLB05nZmT"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","EBcxylXtPf","rGHVDoGpnC","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2564","layer":4},{"info":"number node, value=2318","layer":4},{"info":"compute binary expreesion, left_input=2564, right_input=2318, 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=-6432","layer":3},{"info":"number node, value=7550","layer":4},{"info":"number node, value=2017","layer":4},{"info":"compute binary expreesion, left_input=7550, right_input=2017, 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=-6432, right_input=0, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-6432","layer":2},{"info":"number node, value=1539","layer":4},{"info":"number node, value=2670","layer":4},{"info":"compute binary expreesion, left_input=1539, right_input=2670, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1237","layer":3},{"info":"number node, value=7300","layer":4},{"info":"number node, value=2143","layer":4},{"info":"compute binary expreesion, left_input=7300, right_input=2143, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=100458","layer":3},{"info":"compute binary expreesion, left_input=1237, right_input=100458, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1858826","layer":2},{"info":"compute binary expreesion, left_input=-6432, right_input=1858826, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":1},{"info":"number node, value=2439","layer":4},{"info":"compute unary expreesion, input=2439, 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=5223","layer":4},{"info":"compute unary expreesion, input=5223, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-20892","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-20892, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":2},{"info":"number node, value=5444","layer":4},{"info":"compute unary expreesion, input=5444, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=5629","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=5629, right_input=1583, 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 = 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 = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=192","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=192, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆40224↱⇑⪆33233)∌(⇑⪆220200⫸⇳⇑⪆31032)⩒⫫(⇑⪆22124⩒⫫⇑⪆41140)≴⪞⇿(⇑⪆213200⊝⪿⪼⇑⪆32033))↞⋁(((⇑⪆34224↦)∋(⇑⪆131343⊹≧⊝))∥⊢⊲((⇑⪆133234⩠)⊋≦⊧(⇑⪆140004⫳≱↱⇑⪆22313)))=NaN","reverse_text":"NaN=((⇑⪆40224↱⇑⪆33233)∌(⇑⪆220200⫸⇳⇑⪆31032)⩒⫫(⇑⪆22124⩒⫫⇑⪆41140)≴⪞⇿(⇑⪆213200⊝⪿⪼⇑⪆32033))↞⋁(((⇑⪆34224↦)∋(⇑⪆131343⊹≧⊝))∥⊢⊲((⇑⪆133234⩠)⊋≦⊧(⇑⪆140004⫳≱↱⇑⪆22313)))","cot":[{"info":"⇑⪆40224↱⇑⪆33233=⇑⪆-201212","layer":3},{"info":"⇑⪆220200⫸⇳⇑⪆31032=⇑⪆0","layer":3},{"info":"⇑⪆-201212∌⇑⪆0=⇑⪆-201212","layer":2},{"info":"⇑⪆22124⩒⫫⇑⪆41140=⇑⪆14422","layer":3},{"info":"⇑⪆213200⊝⪿⪼⇑⪆32033=⇑⪆11203313","layer":3},{"info":"⇑⪆14422≴⪞⇿⇑⪆11203313=⇑⪆433440301","layer":2},{"info":"⇑⪆-201212⩒⫫⇑⪆433440301=⇑⪆1120","layer":1},{"info":"⇑⪆34224↦=NaN","layer":3},{"info":"⇑⪆131343⊹≧⊝=⇑⪆-1132032","layer":3},{"info":"NaN∋⇑⪆-1132032=NaN","layer":2},{"info":"⇑⪆133234⩠=⇑⪆0","layer":3},{"info":"⇑⪆140004⫳≱↱⇑⪆22313=⇑⪆-1304","layer":3},{"info":"⇑⪆0⊋≦⊧⇑⪆-1304=⇑⪆1232","layer":2},{"info":"NaN∥⊢⊲⇑⪆1232=⇑⪆1232","layer":1},{"info":"⇑⪆1120↞⋁⇑⪆1232=NaN","layer":0}]}
{"id":572,"expression_no_base_symbol":"((($3394$≳⇉$3344$)⇍⊗$1784$∋$1020$)⊍)⨐((≦∁$5555$)≄⊠$5104$⊕∕$4262$⪡($1832$⪐)⨐($1138$⪛⫼$2331$))","expression":"(((⇑⪆102034≳⇉⇑⪆101334)⇍⊗⇑⪆24114∋⇑⪆13040)⊍)⨐((≦∁⇑⪆134210)≄⊠⇑⪆130404⊕∕⇑⪆114022⪡(⇑⪆24312⪐)⨐(⇑⪆14023⪛⫼⇑⪆33311))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":140466047,"operation_count":12,"complexity_ratio":11705503.916666666,"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":3394,"base":5},"right_expr":{"type":"numeric_atoms","value":3344,"base":5}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1784,"base":5},"right_expr":{"type":"numeric_atoms","value":1020,"base":5}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5555,"base":5}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":5104,"base":5},"right_expr":{"type":"numeric_atoms","value":4262,"base":5}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1832,"base":5}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1138,"base":5},"right_expr":{"type":"numeric_atoms","value":2331,"base":5}}}}},"used_operators":["Noe24qw2ks","3nqY3DE9mg","5uvYHDjeKN","V0kx6qeWkN","ukq6epAj5P","oraRL2iQuh","vXNesLlMH1","9ICcGScMcE","9cloC0Ngie","eH2TOUuTDT","hyuBjUqXlG"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"⇑⪆323411","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3394","layer":4},{"info":"number node, value=3344","layer":4},{"info":"compute binary expreesion, left_input=3394, right_input=3344, 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=1784","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=1784, right_input=1020, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2152536","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2152536, 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 = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-5553","layer":1},{"info":"number node, value=5555","layer":4},{"info":"compute unary expreesion, input=5555, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5555","layer":3},{"info":"number node, value=5104","layer":4},{"info":"number node, value=4262","layer":4},{"info":"compute binary expreesion, left_input=5104, right_input=4262, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=5104","layer":3},{"info":"compute binary expreesion, left_input=5555, right_input=5104, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=86332","layer":2},{"info":"number node, value=1832","layer":4},{"info":"compute unary expreesion, input=1832, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3664","layer":3},{"info":"number node, value=1138","layer":4},{"info":"number node, value=2331","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=2331, 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=3664, right_input=968, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-7328","layer":2},{"info":"compute binary expreesion, left_input=86332, right_input=-7328, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-7223","layer":1},{"info":"compute binary expreesion, left_input=-5553, right_input=-7223, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=11106","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆102034≳⇉⇑⪆101334)⇍⊗⇑⪆24114∋⇑⪆13040)⊍)⨐((≦∁⇑⪆134210)≄⊠⇑⪆130404⊕∕⇑⪆114022⪡(⇑⪆24312⪐)⨐(⇑⪆14023⪛⫼⇑⪆33311))=⇑⪆323411","reverse_text":"⇑⪆323411=(((⇑⪆102034≳⇉⇑⪆101334)⇍⊗⇑⪆24114∋⇑⪆13040)⊍)⨐((≦∁⇑⪆134210)≄⊠⇑⪆130404⊕∕⇑⪆114022⪡(⇑⪆24312⪐)⨐(⇑⪆14023⪛⫼⇑⪆33311))","cot":[{"info":"⇑⪆102034≳⇉⇑⪆101334=NaN","layer":3},{"info":"⇑⪆24114∋⇑⪆13040=⇑⪆1022340121","layer":3},{"info":"NaN⇍⊗⇑⪆1022340121=⇑⪆-1434","layer":2},{"info":"⇑⪆-1434⊍=⇑⪆-134203","layer":1},{"info":"≦∁⇑⪆134210=⇑⪆134210","layer":3},{"info":"⇑⪆130404⊕∕⇑⪆114022=⇑⪆130404","layer":3},{"info":"⇑⪆134210≄⊠⇑⪆130404=⇑⪆10230312","layer":2},{"info":"⇑⪆24312⪐=⇑⪆104124","layer":3},{"info":"⇑⪆14023⪛⫼⇑⪆33311=⇑⪆12333","layer":3},{"info":"⇑⪆104124⨐⇑⪆12333=⇑⪆-213303","layer":2},{"info":"⇑⪆10230312⪡⇑⪆-213303=⇑⪆-212343","layer":1},{"info":"⇑⪆-134203⨐⇑⪆-212343=⇑⪆323411","layer":0}]}
{"id":573,"expression_no_base_symbol":"⨡↴(($8353$∷$3870$)⇂≾⫗(∐⩳⋚$1266$)↯⫤)","expression":"⨡↴((⇑⪆231403∷⇑⪆110440)⇂≾⫗(∐⩳⋚⇑⪆20031)↯⫤)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":254,"operation_count":5,"complexity_ratio":50.8,"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":8353,"base":5},"right_expr":{"type":"numeric_atoms","value":3870,"base":5}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1266,"base":5}}}}},"used_operators":["liw5iZPkLH","VwlE7vj6HS","aBQ6xLxuTc","D3AQDKkPcf","SL6IHkK8vl"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","9FxExcQeMw","NTOWxs364D","7j4O788W3g","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"⇑⪆34101","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8353","layer":4},{"info":"number node, value=3870","layer":4},{"info":"compute binary expreesion, left_input=8353, right_input=3870, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3870","layer":3},{"info":"number node, value=1266","layer":4},{"info":"compute unary expreesion, input=1266, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=172783","layer":3},{"info":"compute binary expreesion, left_input=3870, right_input=172783, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"compute unary expreesion, input=-676, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=1352","layer":1},{"info":"compute unary expreesion, input=1352, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2401","layer":0}],"base":5,"result_base":5,"text":"⨡↴((⇑⪆231403∷⇑⪆110440)⇂≾⫗(∐⩳⋚⇑⪆20031)↯⫤)=⇑⪆34101","reverse_text":"⇑⪆34101=⨡↴((⇑⪆231403∷⇑⪆110440)⇂≾⫗(∐⩳⋚⇑⪆20031)↯⫤)","cot":[{"info":"⇑⪆231403∷⇑⪆110440=⇑⪆110440","layer":3},{"info":"∐⩳⋚⇑⪆20031=⇑⪆21012113","layer":3},{"info":"⇑⪆110440⇂≾⫗⇑⪆21012113=⇑⪆-10201","layer":2},{"info":"⇑⪆-10201↯⫤=⇑⪆20402","layer":1},{"info":"⨡↴⇑⪆20402=⇑⪆34101","layer":0}]}
{"id":574,"expression_no_base_symbol":"((($2357$∟)⊾⪯⋞$2203$⨚⇆$7843$)⩒⫫($1063$∪⫐$6453$)⊴$2701$↓$4118$)⫘((⩩($5497$∌↝$1429$))∁)","expression":"(((⇑⪆33412∟)⊾⪯⋞⇑⪆32303⨚⇆⇑⪆222333)⩒⫫(⇑⪆13223∪⫐⇑⪆201303)⊴⇑⪆41301↓⇑⪆112433)⫘((⩩(⇑⪆133442∌↝⇑⪆21204))∁)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":75895,"operation_count":11,"complexity_ratio":6899.545454545455,"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":2357,"base":5}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2203,"base":5},"right_expr":{"type":"numeric_atoms","value":7843,"base":5}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1063,"base":5},"right_expr":{"type":"numeric_atoms","value":6453,"base":5}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2701,"base":5},"right_expr":{"type":"numeric_atoms","value":4118,"base":5}}}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":5497,"base":5},"right_expr":{"type":"numeric_atoms","value":1429,"base":5}}}}},"used_operators":["48vC8HMD2b","KFSx94NKJn","HK0tfVPux8","hTbEZDJLEm","lwHaAYXP2r","Nsiff2A1zJ","7YooWSwCyH","Af076pWI7l","jdwGQqwJi5","kMhfGuqI2H","9Isq31Ruls"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK","2DDjHMKMc0","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","2DDjHMKMc0","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2357","layer":4},{"info":"compute unary expreesion, input=2357, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"number node, value=2203","layer":4},{"info":"number node, value=7843","layer":4},{"info":"compute binary expreesion, left_input=2203, right_input=7843, 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=113, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":2},{"info":"number node, value=1063","layer":4},{"info":"number node, value=6453","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=6453, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1063","layer":3},{"info":"number node, value=2701","layer":4},{"info":"number node, value=4118","layer":4},{"info":"compute binary expreesion, left_input=2701, right_input=4118, 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=1063, right_input=-134, 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 = 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":"number node, value=5497","layer":4},{"info":"number node, value=1429","layer":4},{"info":"compute binary expreesion, left_input=5497, right_input=1429, 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 = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=232","layer":2},{"info":"compute unary expreesion, input=232, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=232","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=232, 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":5,"result_base":5,"text":"(((⇑⪆33412∟)⊾⪯⋞⇑⪆32303⨚⇆⇑⪆222333)⩒⫫(⇑⪆13223∪⫐⇑⪆201303)⊴⇑⪆41301↓⇑⪆112433)⫘((⩩(⇑⪆133442∌↝⇑⪆21204))∁)=NaN","reverse_text":"NaN=(((⇑⪆33412∟)⊾⪯⋞⇑⪆32303⨚⇆⇑⪆222333)⩒⫫(⇑⪆13223∪⫐⇑⪆201303)⊴⇑⪆41301↓⇑⪆112433)⫘((⩩(⇑⪆133442∌↝⇑⪆21204))∁)","cot":[{"info":"⇑⪆33412∟=⇑⪆423","layer":3},{"info":"⇑⪆32303⨚⇆⇑⪆222333=NaN","layer":3},{"info":"⇑⪆423⊾⪯⋞NaN=NaN","layer":2},{"info":"⇑⪆13223∪⫐⇑⪆201303=⇑⪆13223","layer":3},{"info":"⇑⪆41301↓⇑⪆112433=⇑⪆-1014","layer":3},{"info":"⇑⪆13223⊴⇑⪆-1014=NaN","layer":2},{"info":"NaN⩒⫫NaN=NaN","layer":1},{"info":"⇑⪆133442∌↝⇑⪆21204=⇑⪆0","layer":3},{"info":"⩩⇑⪆0=⇑⪆1412","layer":2},{"info":"⇑⪆1412∁=⇑⪆1412","layer":1},{"info":"NaN⫘⇑⪆1412=NaN","layer":0}]}
{"id":575,"expression_no_base_symbol":"((⇈($2498$+$2398$))⨔≚≋(⫟(⊆⋠$1019$)))⩖⊿((⪁⇼($5915$∙∹∝$1977$))⫯⪬∳($2404$∼$4556$*(⨂⪏⇭$1019$)))","expression":"((⇈(⇑⪆34443+⇑⪆34043))⨔≚≋(⫟(⊆⋠⇑⪆13034)))⩖⊿((⪁⇼(⇑⪆142130∙∹∝⇑⪆30402))⫯⪬∳(⇑⪆34104∼⇑⪆121211*(⨂⪏⇭⇑⪆13034)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1235,"operation_count":12,"complexity_ratio":102.91666666666667,"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":2498,"base":5},"right_expr":{"type":"numeric_atoms","value":2398,"base":5}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1019,"base":5}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":5915,"base":5},"right_expr":{"type":"numeric_atoms","value":1977,"base":5}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2404,"base":5},"right_expr":{"type":"numeric_atoms","value":4556,"base":5}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1019,"base":5}}}}},"used_operators":["RZ5CV9rWsJ","Z57zeUYC9z","SLLxy00UIr","W4YGzv6Whe","z4E1FaHLuy","EBhcHTkKd8","d7ASUq0ydm","ZNVVrZ94lY","HmxsFra2vL","9HNa5Wba9A","DyGG3AbaNP","AYdpE9sXAk"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"⇑⪆-11002","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2498","layer":4},{"info":"number node, value=2398","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=2398, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4896","layer":3},{"info":"compute unary expreesion, input=4896, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"number node, value=1019","layer":4},{"info":"compute unary expreesion, input=1019, 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 = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=907","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=907, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-2864","layer":1},{"info":"number node, value=5915","layer":4},{"info":"number node, value=1977","layer":4},{"info":"compute binary expreesion, left_input=5915, right_input=1977, 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 = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"number node, value=2404","layer":4},{"info":"number node, value=4556","layer":4},{"info":"compute binary expreesion, left_input=2404, right_input=4556, 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=1019","layer":4},{"info":"compute unary expreesion, input=1019, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=2078","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2078, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=422, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=1333","layer":1},{"info":"compute binary expreesion, left_input=-2864, right_input=1333, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-752","layer":0}],"base":5,"result_base":5,"text":"((⇈(⇑⪆34443+⇑⪆34043))⨔≚≋(⫟(⊆⋠⇑⪆13034)))⩖⊿((⪁⇼(⇑⪆142130∙∹∝⇑⪆30402))⫯⪬∳(⇑⪆34104∼⇑⪆121211*(⨂⪏⇭⇑⪆13034)))=⇑⪆-11002","reverse_text":"⇑⪆-11002=((⇈(⇑⪆34443+⇑⪆34043))⨔≚≋(⫟(⊆⋠⇑⪆13034)))⩖⊿((⪁⇼(⇑⪆142130∙∹∝⇑⪆30402))⫯⪬∳(⇑⪆34104∼⇑⪆121211*(⨂⪏⇭⇑⪆13034)))","cot":[{"info":"⇑⪆34443+⇑⪆34043=⇑⪆124041","layer":3},{"info":"⇈⇑⪆124041=⇑⪆-3242","layer":2},{"info":"⊆⋠⇑⪆13034=⇑⪆0","layer":3},{"info":"⫟⇑⪆0=⇑⪆12112","layer":2},{"info":"⇑⪆-3242⨔≚≋⇑⪆12112=⇑⪆-42424","layer":1},{"info":"⇑⪆142130∙∹∝⇑⪆30402=⇑⪆0","layer":3},{"info":"⪁⇼⇑⪆0=⇑⪆3142","layer":2},{"info":"⇑⪆34104∼⇑⪆121211=NaN","layer":3},{"info":"⨂⪏⇭⇑⪆13034=⇑⪆31303","layer":3},{"info":"NaN*⇑⪆31303=NaN","layer":2},{"info":"⇑⪆3142⫯⪬∳NaN=⇑⪆20313","layer":1},{"info":"⇑⪆-42424⩖⊿⇑⪆20313=⇑⪆-11002","layer":0}]}
{"id":576,"expression_no_base_symbol":"((⇤←$6656$⨐$3336$)⩵∡(≦∁$3653$⨐$5300$))⊢($2164$⊔$1652$⫃⨇$6357$⩘$1517$∖(($8541$⪗)↯⫤))","expression":"((⇤←⇑⪆203111⨐⇑⪆101321)⩵∡(≦∁⇑⪆104103⨐⇑⪆132200))⊢(⇑⪆32124⊔⇑⪆23102⫃⨇⇑⪆200412⩘⇑⪆22032∖((⇑⪆233131⪗)↯⫤))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":48907,"operation_count":12,"complexity_ratio":4075.5833333333335,"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":6656,"base":5},"right_expr":{"type":"numeric_atoms","value":3336,"base":5}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3653,"base":5},"right_expr":{"type":"numeric_atoms","value":5300,"base":5}}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2164,"base":5},"right_expr":{"type":"numeric_atoms","value":1652,"base":5}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":6357,"base":5},"right_expr":{"type":"numeric_atoms","value":1517,"base":5}}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":8541,"base":5}}}}},"used_operators":["5twsqlHp2o","Y7wcNGrDQJ","jfAgQ2OQeM","Noe24qw2ks","9ICcGScMcE","tXD093vOjl","09Ly4LVMIf","E4l6HwMY31","cHh1gJQ2o6","VwlE7vj6HS","VEQNXA0ZBg"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","NTOWxs364D","glklzrTFfD","tifHPKVTfV","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","dWAJyo7jo9"],"result":"⇑⪆3223343","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6656","layer":4},{"info":"number node, value=3336","layer":4},{"info":"compute binary expreesion, left_input=6656, right_input=3336, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-13312","layer":3},{"info":"compute unary expreesion, input=-13312, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=13746","layer":2},{"info":"number node, value=3653","layer":4},{"info":"number node, value=5300","layer":4},{"info":"compute binary expreesion, left_input=3653, right_input=5300, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-7306","layer":3},{"info":"compute unary expreesion, input=-7306, 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=13746, right_input=67, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-27546","layer":1},{"info":"number node, value=2164","layer":4},{"info":"number node, value=1652","layer":4},{"info":"compute binary expreesion, left_input=2164, right_input=1652, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=10188","layer":3},{"info":"number node, value=6357","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=6357, right_input=1517, 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=10188, right_input=160, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-672","layer":2},{"info":"number node, value=8541","layer":4},{"info":"compute unary expreesion, input=8541, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=-672, 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":"compute binary expreesion, left_input=-27546, right_input=0, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=54848","layer":0}],"base":5,"result_base":5,"text":"((⇤←⇑⪆203111⨐⇑⪆101321)⩵∡(≦∁⇑⪆104103⨐⇑⪆132200))⊢(⇑⪆32124⊔⇑⪆23102⫃⨇⇑⪆200412⩘⇑⪆22032∖((⇑⪆233131⪗)↯⫤))=⇑⪆3223343","reverse_text":"⇑⪆3223343=((⇤←⇑⪆203111⨐⇑⪆101321)⩵∡(≦∁⇑⪆104103⨐⇑⪆132200))⊢(⇑⪆32124⊔⇑⪆23102⫃⨇⇑⪆200412⩘⇑⪆22032∖((⇑⪆233131⪗)↯⫤))","cot":[{"info":"⇑⪆203111⨐⇑⪆101321=⇑⪆-411222","layer":3},{"info":"⇤←⇑⪆-411222=⇑⪆414441","layer":2},{"info":"⇑⪆104103⨐⇑⪆132200=⇑⪆-213211","layer":3},{"info":"≦∁⇑⪆-213211=⇑⪆232","layer":2},{"info":"⇑⪆414441⩵∡⇑⪆232=⇑⪆-1340141","layer":1},{"info":"⇑⪆32124⊔⇑⪆23102=⇑⪆311223","layer":3},{"info":"⇑⪆200412⩘⇑⪆22032=⇑⪆1120","layer":3},{"info":"⇑⪆311223⫃⨇⇑⪆1120=⇑⪆-10142","layer":2},{"info":"⇑⪆233131⪗=NaN","layer":3},{"info":"NaN↯⫤=NaN","layer":2},{"info":"⇑⪆-10142∖NaN=⇑⪆0","layer":1},{"info":"⇑⪆-1340141⊢⇑⪆0=⇑⪆3223343","layer":0}]}
{"id":577,"expression_no_base_symbol":"(⪝⪂⫅($3364$≠≀$3503$)⋹⋡⊁($4947$⩉⊫⨁))⨥⫆(($1698$↼⊘⨖$1844$↬⩅∪)⫥∨⫟($3756$⊋$5664$)⪎↠(↨⩢⫨$6017$))","expression":"(⪝⪂⫅(⇑⪆101424≠≀⇑⪆103003)⋹⋡⊁(⇑⪆124242⩉⊫⨁))⨥⫆((⇑⪆23243↼⊘⨖⇑⪆24334↬⩅∪)⫥∨⫟(⇑⪆110011⊋⇑⪆140124)⪎↠(↨⩢⫨⇑⪆143032))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":66713,"operation_count":11,"complexity_ratio":6064.818181818182,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3364,"base":5},"right_expr":{"type":"numeric_atoms","value":3503,"base":5}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":4947,"base":5}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1698,"base":5},"right_expr":{"type":"numeric_atoms","value":1844,"base":5}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3756,"base":5},"right_expr":{"type":"numeric_atoms","value":5664,"base":5}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":6017,"base":5}}}}},"used_operators":["yXekIHxTD4","XTarYq4gQB","As8RqfVLgs","IwW236VD4Y","7qqUquhhSb","KYD54nUTWz","VJ330n2nnx","bPywburJMS","3tVxb0NHM4","W4tP9CfskL","Z5CJsN7DuW"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9HNa5Wba9A","8w2t5hMYqp","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","7j4O788W3g","8HhzD0ZcuI","rGHVDoGpnC","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3364","layer":4},{"info":"number node, value=3503","layer":4},{"info":"compute binary expreesion, left_input=3364, right_input=3503, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-6422","layer":3},{"info":"number node, value=4947","layer":4},{"info":"compute unary expreesion, input=4947, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=4947","layer":3},{"info":"compute binary expreesion, left_input=-6422, right_input=4947, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5697","layer":2},{"info":"compute unary expreesion, input=5697, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-837459","layer":1},{"info":"number node, value=1698","layer":4},{"info":"number node, value=1844","layer":4},{"info":"compute binary expreesion, left_input=1698, right_input=1844, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3466","layer":3},{"info":"compute unary expreesion, input=3466, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-10398","layer":2},{"info":"number node, value=3756","layer":4},{"info":"number node, value=5664","layer":4},{"info":"compute binary expreesion, left_input=3756, right_input=5664, 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=-83484492","layer":3},{"info":"number node, value=6017","layer":4},{"info":"compute unary expreesion, input=6017, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-83484492, right_input=0, 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=-10398, right_input=-55, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-837459, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⪝⪂⫅(⇑⪆101424≠≀⇑⪆103003)⋹⋡⊁(⇑⪆124242⩉⊫⨁))⨥⫆((⇑⪆23243↼⊘⨖⇑⪆24334↬⩅∪)⫥∨⫟(⇑⪆110011⊋⇑⪆140124)⪎↠(↨⩢⫨⇑⪆143032))=NaN","reverse_text":"NaN=(⪝⪂⫅(⇑⪆101424≠≀⇑⪆103003)⋹⋡⊁(⇑⪆124242⩉⊫⨁))⨥⫆((⇑⪆23243↼⊘⨖⇑⪆24334↬⩅∪)⫥∨⫟(⇑⪆110011⊋⇑⪆140124)⪎↠(↨⩢⫨⇑⪆143032))","cot":[{"info":"⇑⪆101424≠≀⇑⪆103003=⇑⪆-201142","layer":3},{"info":"⇑⪆124242⩉⊫⨁=⇑⪆124242","layer":3},{"info":"⇑⪆-201142⋹⋡⊁⇑⪆124242=⇑⪆140242","layer":2},{"info":"⪝⪂⫅⇑⪆140242=⇑⪆-203244314","layer":1},{"info":"⇑⪆23243↼⊘⨖⇑⪆24334=⇑⪆102331","layer":3},{"info":"⇑⪆102331↬⩅∪=⇑⪆-313043","layer":2},{"info":"⇑⪆110011⊋⇑⪆140124=⇑⪆-132333000432","layer":3},{"info":"↨⩢⫨⇑⪆143032=⇑⪆0","layer":3},{"info":"⇑⪆-132333000432⪎↠⇑⪆0=⇑⪆-210","layer":2},{"info":"⇑⪆-313043⫥∨⫟⇑⪆-210=NaN","layer":1},{"info":"⇑⪆-203244314⨥⫆NaN=NaN","layer":0}]}
{"id":578,"expression_no_base_symbol":"↴⪽⋼($3535$⪔$6994$↙$5320$⋾⨃∁$4318$)∌((-$3650$)⨘)","expression":"↴⪽⋼(⇑⪆103120⪔⇑⪆210434↙⇑⪆132240⋾⨃∁⇑⪆114233)∌((-⇑⪆104100)⨘)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15237,"operation_count":7,"complexity_ratio":2176.714285714286,"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":3535,"base":5},"right_expr":{"type":"numeric_atoms","value":6994,"base":5}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":5320,"base":5},"right_expr":{"type":"numeric_atoms","value":4318,"base":5}}},"right_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3650,"base":5}}}}},"used_operators":["5TUYCnJO6w","8cLx32lpNA","yyfyN0ffXY","GjBEYRfMaF","212REbPD9h","ljcfZBUpm8","t8gj7n24qd"],"dependent_operators":["MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ"],"result":"⇑⪆2121242","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3535","layer":4},{"info":"number node, value=6994","layer":4},{"info":"compute binary expreesion, left_input=3535, right_input=6994, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=5320","layer":4},{"info":"number node, value=4318","layer":4},{"info":"compute binary expreesion, left_input=5320, right_input=4318, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=186399330","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=186399330, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=3650","layer":4},{"info":"compute unary expreesion, input=3650, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3650","layer":3},{"info":"compute unary expreesion, input=-3650, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=24775","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=24775, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-24775","layer":1},{"info":"compute unary expreesion, input=-24775, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=35822","layer":0}],"base":5,"result_base":5,"text":"↴⪽⋼(⇑⪆103120⪔⇑⪆210434↙⇑⪆132240⋾⨃∁⇑⪆114233)∌((-⇑⪆104100)⨘)=⇑⪆2121242","reverse_text":"⇑⪆2121242=↴⪽⋼(⇑⪆103120⪔⇑⪆210434↙⇑⪆132240⋾⨃∁⇑⪆114233)∌((-⇑⪆104100)⨘)","cot":[{"info":"⇑⪆103120⪔⇑⪆210434=⇑⪆3300","layer":3},{"info":"⇑⪆132240⋾⨃∁⇑⪆114233=⇑⪆340204234310","layer":3},{"info":"⇑⪆3300↙⇑⪆340204234310=NaN","layer":2},{"info":"-⇑⪆104100=⇑⪆-104100","layer":3},{"info":"⇑⪆-104100⨘=⇑⪆1243100","layer":2},{"info":"NaN∌⇑⪆1243100=⇑⪆-1243100","layer":1},{"info":"↴⪽⋼⇑⪆-1243100=⇑⪆2121242","layer":0}]}
{"id":579,"expression_no_base_symbol":"(⫎≠⋺$1269$⇻⋧≁$5433$⨐(⩷⨜⫀$1640$))⨐(($1388$≎⊠⪸$2606$)⨫⇇↔($5655$⫻⋑⊟)*(⊙↵-($1751$↸$1462$)))","expression":"(⫎≠⋺⇑⪆20034⇻⋧≁⇑⪆133213⨐(⩷⨜⫀⇑⪆23030))⨐((⇑⪆21023≎⊠⪸⇑⪆40411)⨫⇇↔(⇑⪆140110⫻⋑⊟)*(⊙↵-(⇑⪆24001↸⇑⪆21322)))","highest_n_order":3,"priority_hierarchical_complexity":9,"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":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1269,"base":5},"right_expr":{"type":"numeric_atoms","value":5433,"base":5}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":1640,"base":5}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1388,"base":5},"right_expr":{"type":"numeric_atoms","value":2606,"base":5}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":5655,"base":5}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1751,"base":5},"right_expr":{"type":"numeric_atoms","value":1462,"base":5}}}}},"used_operators":["Noe24qw2ks","LYeZOJ0nQG","jCPkEVoL5K","CDi0ktkjQ4","9HNa5Wba9A","LXhwmt4mBO","bJkvcejdHO","o575Zjdmzy","oWn0xqSxBt","1eCjFl0mb9"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","ruOEQAzv1W","nhYeJWJD5X","W4YGzv6Whe","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1269","layer":4},{"info":"number node, value=5433","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=5433, 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=1640","layer":4},{"info":"compute unary expreesion, input=1640, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1367","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-1367, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=894","layer":2},{"info":"compute unary expreesion, input=894, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":1},{"info":"number node, value=1388","layer":4},{"info":"number node, value=2606","layer":4},{"info":"compute binary expreesion, left_input=1388, right_input=2606, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=359019","layer":3},{"info":"number node, value=5655","layer":4},{"info":"compute unary expreesion, input=5655, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-10800","layer":3},{"info":"compute binary expreesion, left_input=359019, right_input=-10800, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=1751","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=1751, right_input=1462, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1751","layer":3},{"info":"compute unary expreesion, input=1751, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=-1, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=527","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=527, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"(⫎≠⋺⇑⪆20034⇻⋧≁⇑⪆133213⨐(⩷⨜⫀⇑⪆23030))⨐((⇑⪆21023≎⊠⪸⇑⪆40411)⨫⇇↔(⇑⪆140110⫻⋑⊟)*(⊙↵-(⇑⪆24001↸⇑⪆21322)))=⇑⪆0","reverse_text":"⇑⪆0=(⫎≠⋺⇑⪆20034⇻⋧≁⇑⪆133213⨐(⩷⨜⫀⇑⪆23030))⨐((⇑⪆21023≎⊠⪸⇑⪆40411)⨫⇇↔(⇑⪆140110⫻⋑⊟)*(⊙↵-(⇑⪆24001↸⇑⪆21322)))","cot":[{"info":"⇑⪆20034⇻⋧≁⇑⪆133213=⇑⪆-3242","layer":3},{"info":"⩷⨜⫀⇑⪆23030=⇑⪆-20432","layer":3},{"info":"⇑⪆-3242⨐⇑⪆-20432=⇑⪆12034","layer":2},{"info":"⫎≠⋺⇑⪆12034=⇑⪆0","layer":1},{"info":"⇑⪆21023≎⊠⪸⇑⪆40411=⇑⪆42442034","layer":3},{"info":"⇑⪆140110⫻⋑⊟=⇑⪆-321200","layer":3},{"info":"⇑⪆42442034⨫⇇↔⇑⪆-321200=⇑⪆-4102","layer":2},{"info":"⇑⪆24001↸⇑⪆21322=⇑⪆24001","layer":3},{"info":"⊙↵-⇑⪆24001=⇑⪆-1","layer":2},{"info":"⇑⪆-4102*⇑⪆-1=⇑⪆4102","layer":1},{"info":"⇑⪆0⨐⇑⪆4102=⇑⪆0","layer":0}]}
{"id":580,"expression_no_base_symbol":"((→⩰$2666$)⪶≀⋏($1340$⫑)⪨≂($3954$∀⊥⇻)∳⫺($3683$⊴⇁⪶))⇌⫙⪟(($1298$-$3260$)≥⨤⩑$1546$⪘⫢$6981$)↞⋁(∟⋨($8035$⫲≸⪮$2312$))","expression":"((→⩰⇑⪆41131)⪶≀⋏(⇑⪆20330⫑)⪨≂(⇑⪆111304∀⊥⇻)∳⫺(⇑⪆104213⊴⇁⪶))⇌⫙⪟((⇑⪆20143-⇑⪆101020)≥⨤⩑⇑⪆22141⪘⫢⇑⪆210411)↞⋁(∟⋨(⇑⪆224120⫲≸⪮⇑⪆33222))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":23230,"operation_count":14,"complexity_ratio":1659.2857142857142,"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":2666,"base":5}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":1340,"base":5}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":3954,"base":5}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":3683,"base":5}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1298,"base":5},"right_expr":{"type":"numeric_atoms","value":3260,"base":5}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1546,"base":5},"right_expr":{"type":"numeric_atoms","value":6981,"base":5}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":8035,"base":5},"right_expr":{"type":"numeric_atoms","value":2312,"base":5}}}}},"used_operators":["AFVx7xoS7T","sdazOOVcIp","zR4jO40bMj","o8Pngz0Tml","CgIo77xlM2","AzXXKTstlj","k4iM1060OG","oo9mF6JIpo","RqrPlJkxDo","gJLn6v0xnP","rysDP5nf3Z","oacrs7FA3X","ctOc4cKSDt","P3lXMJvFrc"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","tmPS8pqC7x","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2666","layer":4},{"info":"compute unary expreesion, input=2666, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=1340","layer":4},{"info":"compute unary expreesion, input=1340, 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 = 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=3954","layer":4},{"info":"compute unary expreesion, input=3954, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"number node, value=3683","layer":4},{"info":"compute unary expreesion, input=3683, 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=73348","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=73348, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-146634","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-146634, 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":"number node, value=1298","layer":4},{"info":"number node, value=3260","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=3260, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1962","layer":3},{"info":"number node, value=1546","layer":4},{"info":"number node, value=6981","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=6981, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2968","layer":3},{"info":"compute binary expreesion, left_input=-1962, right_input=2968, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=8035","layer":4},{"info":"number node, value=2312","layer":4},{"info":"compute binary expreesion, left_input=8035, right_input=2312, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=8035","layer":3},{"info":"compute unary expreesion, input=8035, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-7551","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-7551, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":0}],"base":5,"result_base":5,"text":"((→⩰⇑⪆41131)⪶≀⋏(⇑⪆20330⫑)⪨≂(⇑⪆111304∀⊥⇻)∳⫺(⇑⪆104213⊴⇁⪶))⇌⫙⪟((⇑⪆20143-⇑⪆101020)≥⨤⩑⇑⪆22141⪘⫢⇑⪆210411)↞⋁(∟⋨(⇑⪆224120⫲≸⪮⇑⪆33222))=NaN","reverse_text":"NaN=((→⩰⇑⪆41131)⪶≀⋏(⇑⪆20330⫑)⪨≂(⇑⪆111304∀⊥⇻)∳⫺(⇑⪆104213⊴⇁⪶))⇌⫙⪟((⇑⪆20143-⇑⪆101020)≥⨤⩑⇑⪆22141⪘⫢⇑⪆210411)↞⋁(∟⋨(⇑⪆224120⫲≸⪮⇑⪆33222))","cot":[{"info":"→⩰⇑⪆41131=NaN","layer":3},{"info":"⇑⪆20330⫑=⇑⪆111404","layer":3},{"info":"NaN⪶≀⋏⇑⪆111404=NaN","layer":2},{"info":"⇑⪆111304∀⊥⇻=⇑⪆0","layer":3},{"info":"⇑⪆104213⊴⇁⪶=⇑⪆4321343","layer":3},{"info":"⇑⪆0∳⫺⇑⪆4321343=⇑⪆-14143014","layer":2},{"info":"NaN⪨≂⇑⪆-14143014=NaN","layer":1},{"info":"⇑⪆20143-⇑⪆101020=⇑⪆-30322","layer":3},{"info":"⇑⪆22141⪘⫢⇑⪆210411=⇑⪆43333","layer":3},{"info":"⇑⪆-30322≥⨤⩑⇑⪆43333=⇑⪆14414","layer":2},{"info":"⇑⪆224120⫲≸⪮⇑⪆33222=⇑⪆224120","layer":3},{"info":"∟⋨⇑⪆224120=⇑⪆-220201","layer":2},{"info":"⇑⪆14414↞⋁⇑⪆-220201=⇑⪆14414","layer":1},{"info":"NaN⇌⫙⪟⇑⪆14414=NaN","layer":0}]}
{"id":581,"expression_no_base_symbol":"((↩$3055$)⊹∫⫚($1607$⨔≚≋$4522$)⪊≅)⪡(⨰⫟⨤($6968$⪁$1158$)↳∿⪆($5341$⊍⩺⋍$3847$))","expression":"((↩⇑⪆44210)⊹∫⫚(⇑⪆22412⨔≚≋⇑⪆121042)⪊≅)⪡(⨰⫟⨤(⇑⪆210333⪁⇑⪆14113)↳∿⪆(⇑⪆132331⊍⩺⋍⇑⪆110342))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":20721294,"operation_count":9,"complexity_ratio":2302366.0,"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":3055,"base":5}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1607,"base":5},"right_expr":{"type":"numeric_atoms","value":4522,"base":5}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":6968,"base":5},"right_expr":{"type":"numeric_atoms","value":1158,"base":5}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":5341,"base":5},"right_expr":{"type":"numeric_atoms","value":3847,"base":5}}}}},"used_operators":["oraRL2iQuh","bjFbhXSADs","uWAJUKEvyW","jLgFTUHLKL","Z57zeUYC9z","Tw270M8GLb","Cw4SuJJGHO","I7sXao9hZE","OXDGMFPWZM"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"⇑⪆-30221","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3055","layer":4},{"info":"compute unary expreesion, input=3055, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-21660","layer":3},{"info":"number node, value=1607","layer":4},{"info":"number node, value=4522","layer":4},{"info":"compute binary expreesion, left_input=1607, right_input=4522, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-21660, right_input=9872, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-112","layer":2},{"info":"compute unary expreesion, input=-112, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":1},{"info":"number node, value=6968","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=6968, right_input=1158, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=5341","layer":4},{"info":"number node, value=3847","layer":4},{"info":"compute binary expreesion, left_input=5341, right_input=3847, 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 = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"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":0}],"base":5,"result_base":5,"text":"((↩⇑⪆44210)⊹∫⫚(⇑⪆22412⨔≚≋⇑⪆121042)⪊≅)⪡(⨰⫟⨤(⇑⪆210333⪁⇑⪆14113)↳∿⪆(⇑⪆132331⊍⩺⋍⇑⪆110342))=⇑⪆-30221","reverse_text":"⇑⪆-30221=((↩⇑⪆44210)⊹∫⫚(⇑⪆22412⨔≚≋⇑⪆121042)⪊≅)⪡(⨰⫟⨤(⇑⪆210333⪁⇑⪆14113)↳∿⪆(⇑⪆132331⊍⩺⋍⇑⪆110342))","cot":[{"info":"↩⇑⪆44210=⇑⪆-1143120","layer":3},{"info":"⇑⪆22412⨔≚≋⇑⪆121042=⇑⪆303442","layer":3},{"info":"⇑⪆-1143120⊹∫⫚⇑⪆303442=⇑⪆-422","layer":2},{"info":"⇑⪆-422⪊≅=⇑⪆0","layer":1},{"info":"⇑⪆210333⪁⇑⪆14113=NaN","layer":3},{"info":"⇑⪆132331⊍⩺⋍⇑⪆110342=NaN","layer":3},{"info":"NaN↳∿⪆NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⇑⪆0⪡NaN=⇑⪆-30221","layer":0}]}
{"id":582,"expression_no_base_symbol":"(≤/$2510$∋$8119$)⋥⋵⩄($3933$⇂≾⫗$6408$⫌⩉⩟$2719$⨎$2432$)≭($5204$⨘)⨑⩅≇($2353$∇⊂⋱$3594$)↢((⩦⊞$4141$)⩧⪆$7726$↢$2384$)","expression":"(≤/⇑⪆40020∋⇑⪆224434)⋥⋵⩄(⇑⪆111213⇂≾⫗⇑⪆201113⫌⩉⩟⇑⪆41334⨎⇑⪆34212)≭(⇑⪆131304⨘)⨑⩅≇(⇑⪆33403∇⊂⋱⇑⪆103334)↢((⩦⊞⇑⪆113031)⩧⪆⇑⪆221401↢⇑⪆34014)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":18600,"operation_count":14,"complexity_ratio":1328.5714285714287,"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":2510,"base":5},"right_expr":{"type":"numeric_atoms","value":8119,"base":5}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3933,"base":5},"right_expr":{"type":"numeric_atoms","value":6408,"base":5}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2719,"base":5},"right_expr":{"type":"numeric_atoms","value":2432,"base":5}}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":5204,"base":5}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2353,"base":5},"right_expr":{"type":"numeric_atoms","value":3594,"base":5}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":4141,"base":5}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":7726,"base":5},"right_expr":{"type":"numeric_atoms","value":2384,"base":5}}}}},"used_operators":["rxpJgHHUmx","7t3wd0Fuz7","eLAdDNolq6","ukq6epAj5P","XIIwhv8d0m","aBQ6xLxuTc","rJVOvQCfKK","WR6HLWljOP","h92wMvzauj","ljcfZBUpm8","nhYeJWJD5X","Ikt5ks8PT7","u7fv1HBiaC"],"dependent_operators":["AHs5Up7iyr","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eewbuw0ToL","t8gj7n24qd","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2510","layer":4},{"info":"number node, value=8119","layer":4},{"info":"compute binary expreesion, left_input=2510, right_input=8119, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=16899416","layer":3},{"info":"compute unary expreesion, input=16899416, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-16898932","layer":2},{"info":"number node, value=3933","layer":4},{"info":"number node, value=6408","layer":4},{"info":"compute binary expreesion, left_input=3933, right_input=6408, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=2719","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=2719, right_input=2432, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2432","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=2432, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=-16898932, right_input=-50, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"number node, value=5204","layer":4},{"info":"compute unary expreesion, input=5204, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-37203","layer":3},{"info":"number node, value=2353","layer":4},{"info":"number node, value=3594","layer":4},{"info":"compute binary expreesion, left_input=2353, right_input=3594, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4160","layer":3},{"info":"compute binary expreesion, left_input=-37203, right_input=4160, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":2},{"info":"number node, value=4141","layer":4},{"info":"compute unary expreesion, input=4141, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-3868","layer":3},{"info":"number node, value=7726","layer":4},{"info":"number node, value=2384","layer":4},{"info":"compute binary expreesion, left_input=7726, right_input=2384, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=7242","layer":3},{"info":"compute binary expreesion, left_input=-3868, right_input=7242, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-7242","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=-7242, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=-484, 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":5,"result_base":5,"text":"(≤/⇑⪆40020∋⇑⪆224434)⋥⋵⩄(⇑⪆111213⇂≾⫗⇑⪆201113⫌⩉⩟⇑⪆41334⨎⇑⪆34212)≭(⇑⪆131304⨘)⨑⩅≇(⇑⪆33403∇⊂⋱⇑⪆103334)↢((⩦⊞⇑⪆113031)⩧⪆⇑⪆221401↢⇑⪆34014)=NaN","reverse_text":"NaN=(≤/⇑⪆40020∋⇑⪆224434)⋥⋵⩄(⇑⪆111213⇂≾⫗⇑⪆201113⫌⩉⩟⇑⪆41334⨎⇑⪆34212)≭(⇑⪆131304⨘)⨑⩅≇(⇑⪆33403∇⊂⋱⇑⪆103334)↢((⩦⊞⇑⪆113031)⩧⪆⇑⪆221401↢⇑⪆34014)","cot":[{"info":"⇑⪆40020∋⇑⪆224434=⇑⪆13311240131","layer":3},{"info":"≤/⇑⪆13311240131=⇑⪆-13311231212","layer":2},{"info":"⇑⪆111213⇂≾⫗⇑⪆201113=⇑⪆-10201","layer":3},{"info":"⇑⪆41334⨎⇑⪆34212=⇑⪆34212","layer":3},{"info":"⇑⪆-10201⫌⩉⩟⇑⪆34212=⇑⪆-200","layer":2},{"info":"⇑⪆-13311231212⋥⋵⩄⇑⪆-200=⇑⪆423","layer":1},{"info":"⇑⪆131304⨘=⇑⪆-2142303","layer":3},{"info":"⇑⪆33403∇⊂⋱⇑⪆103334=⇑⪆113120","layer":3},{"info":"⇑⪆-2142303⨑⩅≇⇑⪆113120=⇑⪆-210","layer":2},{"info":"⩦⊞⇑⪆113031=⇑⪆-110433","layer":3},{"info":"⇑⪆221401↢⇑⪆34014=⇑⪆212432","layer":3},{"info":"⇑⪆-110433⩧⪆⇑⪆212432=⇑⪆-212432","layer":2},{"info":"⇑⪆-210↢⇑⪆-212432=⇑⪆-3414","layer":1},{"info":"⇑⪆423≭⇑⪆-3414=NaN","layer":0}]}
{"id":583,"expression_no_base_symbol":"((⨮↦↱($2045$⪭≯$1386$))↡⊰⫅(⊀$2885$)≀⫉(⋃$4790$))⪇≇⋚(⩦⩻⨪$1285$⨂≜$2221$≄⊠$1424$⪘⫢$1673$)","expression":"((⨮↦↱(⇑⪆31140⪭≯⇑⪆21021))↡⊰⫅(⊀⇑⪆43020)≀⫉(⋃⇑⪆123130))⪇≇⋚(⩦⩻⨪⇑⪆20120⨂≜⇑⪆32341≄⊠⇑⪆21144⪘⫢⇑⪆23143)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":41331,"operation_count":11,"complexity_ratio":3757.3636363636365,"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":2045,"base":5},"right_expr":{"type":"numeric_atoms","value":1386,"base":5}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2885,"base":5}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":4790,"base":5}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1285,"base":5},"right_expr":{"type":"numeric_atoms","value":2221,"base":5}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1424,"base":5},"right_expr":{"type":"numeric_atoms","value":1673,"base":5}}}}},"used_operators":["3sJ7IOPOlU","VCtxkLNOzz","sYcpBQ0cFf","XAx5wpdLa6","oZj3VtZNQx","oPMjh9089D","3mBM5G4a3l","2td37pGCOC","vXNesLlMH1","k1SHOSEABc","oacrs7FA3X"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2045","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=2045, right_input=1386, 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 = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=nan","layer":2},{"info":"number node, value=2885","layer":4},{"info":"compute unary expreesion, input=2885, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=11278","layer":3},{"info":"number node, value=4790","layer":4},{"info":"compute unary expreesion, input=4790, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=9682","layer":3},{"info":"compute binary expreesion, left_input=11278, right_input=9682, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5644","layer":1},{"info":"number node, value=1285","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=2221, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1424","layer":4},{"info":"number node, value=1673","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=1673, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2724","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2724, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=48252","layer":2},{"info":"compute unary expreesion, input=48252, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=48252","layer":1},{"info":"compute binary expreesion, left_input=5644, right_input=48252, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":5,"result_base":5,"text":"((⨮↦↱(⇑⪆31140⪭≯⇑⪆21021))↡⊰⫅(⊀⇑⪆43020)≀⫉(⋃⇑⪆123130))⪇≇⋚(⩦⩻⨪⇑⪆20120⨂≜⇑⪆32341≄⊠⇑⪆21144⪘⫢⇑⪆23143)=⇑⪆0","reverse_text":"⇑⪆0=((⨮↦↱(⇑⪆31140⪭≯⇑⪆21021))↡⊰⫅(⊀⇑⪆43020)≀⫉(⋃⇑⪆123130))⪇≇⋚(⩦⩻⨪⇑⪆20120⨂≜⇑⪆32341≄⊠⇑⪆21144⪘⫢⇑⪆23143)","cot":[{"info":"⇑⪆31140⪭≯⇑⪆21021=NaN","layer":3},{"info":"⨮↦↱NaN=NaN","layer":2},{"info":"⊀⇑⪆43020=⇑⪆330103","layer":3},{"info":"⋃⇑⪆123130=⇑⪆302212","layer":3},{"info":"⇑⪆330103≀⫉⇑⪆302212=⇑⪆42242","layer":2},{"info":"NaN↡⊰⫅⇑⪆42242=⇑⪆140034","layer":1},{"info":"⇑⪆20120⨂≜⇑⪆32341=NaN","layer":3},{"info":"⇑⪆21144⪘⫢⇑⪆23143=⇑⪆41344","layer":3},{"info":"NaN≄⊠⇑⪆41344=⇑⪆3021002","layer":2},{"info":"⩦⩻⨪⇑⪆3021002=⇑⪆3021002","layer":1},{"info":"⇑⪆140034⪇≇⋚⇑⪆3021002=⇑⪆0","layer":0}]}
{"id":584,"expression_no_base_symbol":"((≅≯⇸($5418$⫚↹⊑$8152$))⨓(⊑(⇙⪊$2135$)))⨥⫆($3286$⪝$2393$⫯⪬∳(↨⩢⫨$1398$)⨚⇆(≛$1429$≳⇉$2993$))","expression":"((≅≯⇸(⇑⪆133133⫚↹⊑⇑⪆230102))⨓(⊑(⇙⪊⇑⪆32020)))⨥⫆(⇑⪆101121⪝⇑⪆34033⫯⪬∳(↨⩢⫨⇑⪆21043)⨚⇆(≛⇑⪆21204≳⇉⇑⪆43433))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":101034047,"operation_count":12,"complexity_ratio":8419503.916666666,"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":5418,"base":5},"right_expr":{"type":"numeric_atoms","value":8152,"base":5}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":2135,"base":5}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3286,"base":5},"right_expr":{"type":"numeric_atoms","value":2393,"base":5}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":1398,"base":5}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1429,"base":5},"right_expr":{"type":"numeric_atoms","value":2993,"base":5}}}}},"used_operators":["yXekIHxTD4","3ViojmjbAp","apS25hmuAe","dfKe02y8D2","IkUmn0D7oy","pB6Fcnrjim","lwHaAYXP2r","d7ASUq0ydm","wicAB68Tmb","Z5CJsN7DuW","W7eaUhjymW","V0kx6qeWkN"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","EBcxylXtPf","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5418","layer":4},{"info":"number node, value=8152","layer":4},{"info":"compute binary expreesion, left_input=5418, right_input=8152, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=5889","layer":2},{"info":"number node, value=2135","layer":4},{"info":"compute unary expreesion, input=2135, 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 = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=5889, right_input=192, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-195","layer":1},{"info":"number node, value=3286","layer":4},{"info":"number node, value=2393","layer":4},{"info":"compute binary expreesion, left_input=3286, right_input=2393, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-3971","layer":3},{"info":"number node, value=1398","layer":4},{"info":"compute unary expreesion, input=1398, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3971, right_input=0, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=11440","layer":2},{"info":"number node, value=1429","layer":4},{"info":"number node, value=2993","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=2993, 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 = 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":2},{"info":"compute binary expreesion, left_input=11440, 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=-195, right_input=-inf, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"((≅≯⇸(⇑⪆133133⫚↹⊑⇑⪆230102))⨓(⊑(⇙⪊⇑⪆32020)))⨥⫆(⇑⪆101121⪝⇑⪆34033⫯⪬∳(↨⩢⫨⇑⪆21043)⨚⇆(≛⇑⪆21204≳⇉⇑⪆43433))=⇑⪆0","reverse_text":"⇑⪆0=((≅≯⇸(⇑⪆133133⫚↹⊑⇑⪆230102))⨓(⊑(⇙⪊⇑⪆32020)))⨥⫆(⇑⪆101121⪝⇑⪆34033⫯⪬∳(↨⩢⫨⇑⪆21043)⨚⇆(≛⇑⪆21204≳⇉⇑⪆43433))","cot":[{"info":"⇑⪆133133⫚↹⊑⇑⪆230102=⇑⪆-3242","layer":3},{"info":"≅≯⇸⇑⪆-3242=⇑⪆142024","layer":2},{"info":"⇙⪊⇑⪆32020=⇑⪆0","layer":3},{"info":"⊑⇑⪆0=⇑⪆1232","layer":2},{"info":"⇑⪆142024⨓⇑⪆1232=⇑⪆-1240","layer":1},{"info":"⇑⪆101121⪝⇑⪆34033=⇑⪆-111341","layer":3},{"info":"↨⩢⫨⇑⪆21043=⇑⪆0","layer":3},{"info":"⇑⪆-111341⫯⪬∳⇑⪆0=⇑⪆331230","layer":2},{"info":"⇑⪆21204≳⇉⇑⪆43433=NaN","layer":3},{"info":"≛NaN=NaN","layer":2},{"info":"⇑⪆331230⨚⇆NaN=-Inf","layer":1},{"info":"⇑⪆-1240⨥⫆-Inf=⇑⪆0","layer":0}]}
{"id":585,"expression_no_base_symbol":"($4373$⫸⇳$3785$)⩷∴$2331$⊋$4812$⨳⩥⨓(($1532$≋⫹)⊝)+(⫵↿(∮(⇤←$2508$)))","expression":"(⇑⪆114443⫸⇳⇑⪆110120)⩷∴⇑⪆33311⊋⇑⪆123222⨳⩥⨓((⇑⪆22112≋⫹)⊝)+(⫵↿(∮(⇤←⇑⪆40013)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5519,"operation_count":10,"complexity_ratio":551.9,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4373,"base":5},"right_expr":{"type":"numeric_atoms","value":3785,"base":5}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2331,"base":5},"right_expr":{"type":"numeric_atoms","value":4812,"base":5}}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1532,"base":5}}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":2508,"base":5}}}}},"used_operators":["W4YGzv6Whe","nCS4ZIUYfx","9FxExcQeMw","gx7XJ7hdpj","W4tP9CfskL","O6EZ0fifGK","N41Kp7NANJ","ivGwdmUAux","CqXKPLVYql","jfAgQ2OQeM"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","W4YGzv6Whe","t8gj7n24qd","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx"],"result":"⇑⪆-334311401223","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4373","layer":4},{"info":"number node, value=3785","layer":4},{"info":"compute binary expreesion, left_input=4373, right_input=3785, 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=2331","layer":4},{"info":"number node, value=4812","layer":4},{"info":"compute binary expreesion, left_input=2331, right_input=4812, 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=-92434584","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-92434584, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=184869136","layer":2},{"info":"number node, value=1532","layer":4},{"info":"compute unary expreesion, input=1532, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3064","layer":3},{"info":"compute unary expreesion, input=-3064, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=-3064","layer":2},{"info":"compute binary expreesion, left_input=184869136, right_input=-3064, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-184872200","layer":1},{"info":"number node, value=2508","layer":4},{"info":"compute unary expreesion, input=2508, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-11174","layer":3},{"info":"compute unary expreesion, input=-11174, 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=-249310","layer":2},{"info":"compute unary expreesion, input=-249310, 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=-184872200, right_input=137, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-184872063","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆114443⫸⇳⇑⪆110120)⩷∴⇑⪆33311⊋⇑⪆123222⨳⩥⨓((⇑⪆22112≋⫹)⊝)+(⫵↿(∮(⇤←⇑⪆40013)))=⇑⪆-334311401223","reverse_text":"⇑⪆-334311401223=(⇑⪆114443⫸⇳⇑⪆110120)⩷∴⇑⪆33311⊋⇑⪆123222⨳⩥⨓((⇑⪆22112≋⫹)⊝)+(⫵↿(∮(⇤←⇑⪆40013)))","cot":[{"info":"⇑⪆114443⫸⇳⇑⪆110120=⇑⪆0","layer":3},{"info":"⇑⪆33311⊋⇑⪆123222=⇑⪆-142130401314","layer":3},{"info":"⇑⪆0⩷∴⇑⪆-142130401314=⇑⪆334311303021","layer":2},{"info":"⇑⪆22112≋⫹=⇑⪆-44224","layer":3},{"info":"⇑⪆-44224⊝=⇑⪆-44224","layer":2},{"info":"⇑⪆334311303021⨳⩥⨓⇑⪆-44224=⇑⪆-334311402300","layer":1},{"info":"⇤←⇑⪆40013=⇑⪆-324144","layer":3},{"info":"∮⇑⪆-324144=⇑⪆-30434220","layer":2},{"info":"⫵↿⇑⪆-30434220=⇑⪆1022","layer":1},{"info":"⇑⪆-334311402300+⇑⪆1022=⇑⪆-334311401223","layer":0}]}
{"id":586,"expression_no_base_symbol":"(($2287$⨒$3011$)⩌⋺($2160$⫠)≬⋮(↩$5477$⨜⨶$2844$))↹⊜(($1764$⫉⨲⊜$9362$)⊕∕($2838$⋥≓≎$1948$)∛($3219$⊱⇼⊻$4237$≓∲(↩$1162$)))","expression":"((⇑⪆33122⨒⇑⪆44021)⩌⋺(⇑⪆32120⫠)≬⋮(↩⇑⪆133402⨜⨶⇑⪆42334))↹⊜((⇑⪆24024⫉⨲⊜⇑⪆244422)⊕∕(⇑⪆42323⋥≓≎⇑⪆30243)∛(⇑⪆100334⊱⇼⊻⇑⪆113422≓∲(↩⇑⪆14122)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":30567,"operation_count":14,"complexity_ratio":2183.3571428571427,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2287,"base":5},"right_expr":{"type":"numeric_atoms","value":3011,"base":5}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":2160,"base":5}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":5477,"base":5},"right_expr":{"type":"numeric_atoms","value":2844,"base":5}}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1764,"base":5},"right_expr":{"type":"numeric_atoms","value":9362,"base":5}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2838,"base":5},"right_expr":{"type":"numeric_atoms","value":1948,"base":5}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3219,"base":5},"right_expr":{"type":"numeric_atoms","value":4237,"base":5}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1162,"base":5}}}}},"used_operators":["9bazX3JMtO","kbkesczE7y","g7Hmc5v1ko","y75s1iXyHd","6SnOT2rOjz","jLgFTUHLKL","HiPekx5b7W","w2537kitQq","9cloC0Ngie","WhqkvtTD3t","Qy55tPpLXF","s1XTVnmDOJ","FyVja0WsTP"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"⇑⪆114334","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2287","layer":4},{"info":"number node, value=3011","layer":4},{"info":"compute binary expreesion, left_input=2287, right_input=3011, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-13350","layer":3},{"info":"number node, value=2160","layer":4},{"info":"compute unary expreesion, input=2160, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-13350, right_input=0, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=13229","layer":2},{"info":"number node, value=5477","layer":4},{"info":"number node, value=2844","layer":4},{"info":"compute binary expreesion, left_input=5477, right_input=2844, 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=-5432","layer":3},{"info":"compute unary expreesion, input=-5432, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=24348","layer":2},{"info":"compute binary expreesion, left_input=13229, right_input=24348, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=1764","layer":4},{"info":"number node, value=9362","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=9362, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=2838","layer":4},{"info":"number node, value=1948","layer":4},{"info":"compute binary expreesion, left_input=2838, right_input=1948, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1091","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1091, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=0","layer":2},{"info":"number node, value=3219","layer":4},{"info":"number node, value=4237","layer":4},{"info":"compute binary expreesion, left_input=3219, right_input=4237, 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=1162","layer":4},{"info":"compute unary expreesion, input=1162, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6516","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=-6516, 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=172279","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=172279, 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 binary expreesion, left_input=868, right_input=-676, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=4344","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆33122⨒⇑⪆44021)⩌⋺(⇑⪆32120⫠)≬⋮(↩⇑⪆133402⨜⨶⇑⪆42334))↹⊜((⇑⪆24024⫉⨲⊜⇑⪆244422)⊕∕(⇑⪆42323⋥≓≎⇑⪆30243)∛(⇑⪆100334⊱⇼⊻⇑⪆113422≓∲(↩⇑⪆14122)))=⇑⪆114334","reverse_text":"⇑⪆114334=((⇑⪆33122⨒⇑⪆44021)⩌⋺(⇑⪆32120⫠)≬⋮(↩⇑⪆133402⨜⨶⇑⪆42334))↹⊜((⇑⪆24024⫉⨲⊜⇑⪆244422)⊕∕(⇑⪆42323⋥≓≎⇑⪆30243)∛(⇑⪆100334⊱⇼⊻⇑⪆113422≓∲(↩⇑⪆14122)))","cot":[{"info":"⇑⪆33122⨒⇑⪆44021=⇑⪆-411400","layer":3},{"info":"⇑⪆32120⫠=⇑⪆0","layer":3},{"info":"⇑⪆-411400⩌⋺⇑⪆0=⇑⪆410404","layer":2},{"info":"⇑⪆133402⨜⨶⇑⪆42334=⇑⪆-133212","layer":3},{"info":"↩⇑⪆-133212=⇑⪆1234343","layer":2},{"info":"⇑⪆410404≬⋮⇑⪆1234343=⇑⪆11433","layer":1},{"info":"⇑⪆24024⫉⨲⊜⇑⪆244422=⇑⪆0","layer":3},{"info":"⇑⪆42323⋥≓≎⇑⪆30243=⇑⪆13331","layer":3},{"info":"⇑⪆0⊕∕⇑⪆13331=⇑⪆0","layer":2},{"info":"⇑⪆100334⊱⇼⊻⇑⪆113422=⇑⪆3214","layer":3},{"info":"↩⇑⪆14122=⇑⪆-202031","layer":3},{"info":"⇑⪆3214≓∲⇑⪆-202031=⇑⪆21003104","layer":2},{"info":"⇑⪆0∛⇑⪆21003104=⇑⪆-10201","layer":1},{"info":"⇑⪆11433↹⊜⇑⪆-10201=⇑⪆114334","layer":0}]}
{"id":587,"expression_no_base_symbol":"(($1797$⊱⇼⊻$1513$≳⇉(⨡↴$1158$))∣($2466$∠↢$1240$)⋹⋡⊁(↴⪽⋼$1491$))≎⪠(($1020$+⇶⊼$1003$≎⊠⪸$3943$∣$1120$)≌((⋂$5294$)⇴∐$1060$⨜⨶$1152$))","expression":"((⇑⪆24142⊱⇼⊻⇑⪆22023≳⇉(⨡↴⇑⪆14113))∣(⇑⪆34331∠↢⇑⪆14430)⋹⋡⊁(↴⪽⋼⇑⪆21431))≎⪠((⇑⪆13040+⇶⊼⇑⪆13003≎⊠⪸⇑⪆111233∣⇑⪆13440)≌((⋂⇑⪆132134)⇴∐⇑⪆13220⨜⨶⇑⪆14102))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":289537,"operation_count":15,"complexity_ratio":19302.466666666667,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1797,"base":5},"right_expr":{"type":"numeric_atoms","value":1513,"base":5}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1158,"base":5}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2466,"base":5},"right_expr":{"type":"numeric_atoms","value":1240,"base":5}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":1491,"base":5}}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1020,"base":5},"right_expr":{"type":"numeric_atoms","value":1003,"base":5}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3943,"base":5},"right_expr":{"type":"numeric_atoms","value":1120,"base":5}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":5294,"base":5}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1060,"base":5},"right_expr":{"type":"numeric_atoms","value":1152,"base":5}}}}},"used_operators":["aNhz54LH3e","PPChnnnBFF","V0kx6qeWkN","FyVja0WsTP","liw5iZPkLH","As8RqfVLgs","KbjG8mgYpV","5TUYCnJO6w","lyWz822IDG","bJkvcejdHO","TpPTUOHfaN","HnzytWxmAO","BUOGQAYlQx","HiPekx5b7W"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","P8v4zCKN1o","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⇑⪆1111213","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1797","layer":4},{"info":"number node, value=1513","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=1513, 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=1158","layer":4},{"info":"compute unary expreesion, input=1158, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2207","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=2207, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=-10392148","layer":2},{"info":"number node, value=2466","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=2466, right_input=1240, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-26142","layer":3},{"info":"number node, value=1491","layer":4},{"info":"compute unary expreesion, input=1491, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1491","layer":3},{"info":"compute binary expreesion, left_input=-26142, right_input=1491, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2241","layer":2},{"info":"compute binary expreesion, left_input=-10392148, right_input=2241, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-10392148","layer":1},{"info":"number node, value=1020","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=1003, 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=3943","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=3943, right_input=1120, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3943","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3943, 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=5294","layer":4},{"info":"compute unary expreesion, input=5294, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-73520","layer":3},{"info":"number node, value=1060","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=1152, 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=-2048","layer":3},{"info":"compute binary expreesion, left_input=-73520, right_input=-2048, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-116, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9532","layer":1},{"info":"compute binary expreesion, left_input=-10392148, right_input=9532, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆24142⊱⇼⊻⇑⪆22023≳⇉(⨡↴⇑⪆14113))∣(⇑⪆34331∠↢⇑⪆14430)⋹⋡⊁(↴⪽⋼⇑⪆21431))≎⪠((⇑⪆13040+⇶⊼⇑⪆13003≎⊠⪸⇑⪆111233∣⇑⪆13440)≌((⋂⇑⪆132134)⇴∐⇑⪆13220⨜⨶⇑⪆14102))=⇑⪆1111213","reverse_text":"⇑⪆1111213=((⇑⪆24142⊱⇼⊻⇑⪆22023≳⇉(⨡↴⇑⪆14113))∣(⇑⪆34331∠↢⇑⪆14430)⋹⋡⊁(↴⪽⋼⇑⪆21431))≎⪠((⇑⪆13040+⇶⊼⇑⪆13003≎⊠⪸⇑⪆111233∣⇑⪆13440)≌((⋂⇑⪆132134)⇴∐⇑⪆13220⨜⨶⇑⪆14102))","cot":[{"info":"⇑⪆24142⊱⇼⊻⇑⪆22023=⇑⪆3214","layer":3},{"info":"⨡↴⇑⪆14113=⇑⪆32312","layer":3},{"info":"⇑⪆3214≳⇉⇑⪆32312=⇑⪆-10130022043","layer":2},{"info":"⇑⪆34331∠↢⇑⪆14430=⇑⪆-1314032","layer":3},{"info":"↴⪽⋼⇑⪆21431=⇑⪆21431","layer":3},{"info":"⇑⪆-1314032⋹⋡⊁⇑⪆21431=⇑⪆32431","layer":2},{"info":"⇑⪆-10130022043∣⇑⪆32431=⇑⪆-10130022043","layer":1},{"info":"⇑⪆13040+⇶⊼⇑⪆13003=NaN","layer":3},{"info":"⇑⪆111233∣⇑⪆13440=⇑⪆111233","layer":3},{"info":"NaN≎⊠⪸⇑⪆111233=NaN","layer":2},{"info":"⋂⇑⪆132134=⇑⪆-4323040","layer":3},{"info":"⇑⪆13220⨜⨶⇑⪆14102=⇑⪆-31143","layer":3},{"info":"⇑⪆-4323040⇴∐⇑⪆-31143=⇑⪆-431","layer":2},{"info":"NaN≌⇑⪆-431=⇑⪆301112","layer":1},{"info":"⇑⪆-10130022043≎⪠⇑⪆301112=⇑⪆1111213","layer":0}]}
{"id":588,"expression_no_base_symbol":"(($1498$⩘)≀⫉($1974$≀⩗∶$1876$)⫦⪉(≱⇩⩕$7085$⩍⋽⫝̸$8052$))⨎(⨈⫕($5234$≦↸$1143$)⨜⨶$1042$≁↽≥$1479$)","expression":"((⇑⪆21443⩘)≀⫉(⇑⪆30344≀⩗∶⇑⪆30001)⫦⪉(≱⇩⩕⇑⪆211320⩍⋽⫝̸⇑⪆224202))⨎(⨈⫕(⇑⪆131414≦↸⇑⪆14033)⨜⨶⇑⪆13132≁↽≥⇑⪆21404)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":712,"operation_count":11,"complexity_ratio":64.72727272727273,"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":1498,"base":5}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1974,"base":5},"right_expr":{"type":"numeric_atoms","value":1876,"base":5}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":7085,"base":5},"right_expr":{"type":"numeric_atoms","value":8052,"base":5}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":5234,"base":5},"right_expr":{"type":"numeric_atoms","value":1143,"base":5}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1042,"base":5},"right_expr":{"type":"numeric_atoms","value":1479,"base":5}}}}},"used_operators":["rJVOvQCfKK","wscyQdcy20","oZj3VtZNQx","wvHyciQT5X","8INZBEW696","3DZMoQKiUl","BiWNJpBvwn","megm06wKyl","HiPekx5b7W","RygbFNSyEJ","ncHt1X6cMc"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9ICcGScMcE","dfKe02y8D2","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","Ph9nP6C5qx","xUOZtlo3hN","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","oWn0xqSxBt","3Oe9XWJUTD"],"result":"⇑⪆-41","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1498","layer":4},{"info":"compute unary expreesion, input=1498, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"number node, value=1974","layer":4},{"info":"number node, value=1876","layer":4},{"info":"compute binary expreesion, left_input=1974, right_input=1876, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=7085","layer":4},{"info":"number node, value=8052","layer":4},{"info":"compute binary expreesion, left_input=7085, right_input=8052, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=7106","layer":3},{"info":"compute unary expreesion, input=7106, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=113, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-744","layer":1},{"info":"number node, value=5234","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=5234, right_input=1143, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-12073","layer":3},{"info":"number node, value=1042","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=1479, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=25562","layer":3},{"info":"compute binary expreesion, left_input=-12073, right_input=25562, 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=-50868","layer":2},{"info":"compute unary expreesion, input=-50868, 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=-744, right_input=-21, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-21","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆21443⩘)≀⫉(⇑⪆30344≀⩗∶⇑⪆30001)⫦⪉(≱⇩⩕⇑⪆211320⩍⋽⫝̸⇑⪆224202))⨎(⨈⫕(⇑⪆131414≦↸⇑⪆14033)⨜⨶⇑⪆13132≁↽≥⇑⪆21404)=⇑⪆-41","reverse_text":"⇑⪆-41=((⇑⪆21443⩘)≀⫉(⇑⪆30344≀⩗∶⇑⪆30001)⫦⪉(≱⇩⩕⇑⪆211320⩍⋽⫝̸⇑⪆224202))⨎(⨈⫕(⇑⪆131414≦↸⇑⪆14033)⨜⨶⇑⪆13132≁↽≥⇑⪆21404)","cot":[{"info":"⇑⪆21443⩘=⇑⪆232","layer":3},{"info":"⇑⪆30344≀⩗∶⇑⪆30001=⇑⪆0","layer":3},{"info":"⇑⪆232≀⫉⇑⪆0=⇑⪆42242","layer":2},{"info":"⇑⪆211320⩍⋽⫝̸⇑⪆224202=⇑⪆211411","layer":3},{"info":"≱⇩⩕⇑⪆211411=⇑⪆423","layer":2},{"info":"⇑⪆42242⫦⪉⇑⪆423=⇑⪆-10434","layer":1},{"info":"⇑⪆131414≦↸⇑⪆14033=⇑⪆-341243","layer":3},{"info":"⇑⪆13132≁↽≥⇑⪆21404=⇑⪆1304222","layer":3},{"info":"⇑⪆-341243⨜⨶⇑⪆1304222=⇑⪆-3111433","layer":2},{"info":"⨈⫕⇑⪆-3111433=⇑⪆-41","layer":1},{"info":"⇑⪆-10434⨎⇑⪆-41=⇑⪆-41","layer":0}]}
{"id":589,"expression_no_base_symbol":"(⊢≑≆($3633$⪔$6445$⋻⩜⩜$4756$⩦$3022$))⋕⪉⪜(($1659$⩇∃⫛$4541$)↬(⋂$3612$))≎⪠(⋎⨆$6744$⇴∐$5093$)","expression":"(⊢≑≆(⇑⪆104013⪔⇑⪆201240⋻⩜⩜⇑⪆123011⩦⇑⪆44042))⋕⪉⪜((⇑⪆23114⩇∃⫛⇑⪆121131)↬(⋂⇑⪆103422))≎⪠(⋎⨆⇑⪆203434⇴∐⇑⪆130333)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26101,"operation_count":11,"complexity_ratio":2372.818181818182,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3633,"base":5},"right_expr":{"type":"numeric_atoms","value":6445,"base":5}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":4756,"base":5},"right_expr":{"type":"numeric_atoms","value":3022,"base":5}}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1659,"base":5},"right_expr":{"type":"numeric_atoms","value":4541,"base":5}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":3612,"base":5}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":6744,"base":5},"right_expr":{"type":"numeric_atoms","value":5093,"base":5}}}}},"used_operators":["z6LnFrNh4i","27wFxooxGf","oDCm7WA9JY","GjBEYRfMaF","0kmYd0q39Y","aNhz54LH3e","B5M0gjZbta","1aApVXNlOP","BUOGQAYlQx","E64sFOc4tB","HnzytWxmAO"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rGHVDoGpnC","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"⇑⪆1304","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3633","layer":4},{"info":"number node, value=6445","layer":4},{"info":"compute binary expreesion, left_input=3633, right_input=6445, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=4756","layer":4},{"info":"number node, value=3022","layer":4},{"info":"compute binary expreesion, left_input=4756, right_input=3022, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=9512","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=9512, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=124","layer":2},{"info":"compute unary expreesion, input=124, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=-55","layer":1},{"info":"number node, value=1659","layer":4},{"info":"number node, value=4541","layer":4},{"info":"compute binary expreesion, left_input=1659, right_input=4541, 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=3355","layer":3},{"info":"number node, value=3612","layer":4},{"info":"compute unary expreesion, input=3612, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-49972","layer":3},{"info":"compute binary expreesion, left_input=3355, right_input=-49972, 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=6744","layer":4},{"info":"number node, value=5093","layer":4},{"info":"compute binary expreesion, left_input=6744, right_input=5093, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', 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=nan, right_input=8320752, 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=-55, right_input=19558, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":5,"result_base":5,"text":"(⊢≑≆(⇑⪆104013⪔⇑⪆201240⋻⩜⩜⇑⪆123011⩦⇑⪆44042))⋕⪉⪜((⇑⪆23114⩇∃⫛⇑⪆121131)↬(⋂⇑⪆103422))≎⪠(⋎⨆⇑⪆203434⇴∐⇑⪆130333)=⇑⪆1304","reverse_text":"⇑⪆1304=(⊢≑≆(⇑⪆104013⪔⇑⪆201240⋻⩜⩜⇑⪆123011⩦⇑⪆44042))⋕⪉⪜((⇑⪆23114⩇∃⫛⇑⪆121131)↬(⋂⇑⪆103422))≎⪠(⋎⨆⇑⪆203434⇴∐⇑⪆130333)","cot":[{"info":"⇑⪆104013⪔⇑⪆201240=⇑⪆3300","layer":3},{"info":"⇑⪆123011⩦⇑⪆44042=⇑⪆301022","layer":3},{"info":"⇑⪆3300⋻⩜⩜⇑⪆301022=⇑⪆444","layer":2},{"info":"⊢≑≆⇑⪆444=⇑⪆-210","layer":1},{"info":"⇑⪆23114⩇∃⫛⇑⪆121131=⇑⪆101410","layer":3},{"info":"⋂⇑⪆103422=⇑⪆-3044342","layer":3},{"info":"⇑⪆101410↬⇑⪆-3044342=NaN","layer":2},{"info":"⇑⪆203434⇴∐⇑⪆130333=NaN","layer":3},{"info":"⋎⨆NaN=⇑⪆4112231002","layer":2},{"info":"NaN≎⪠⇑⪆4112231002=⇑⪆1111213","layer":1},{"info":"⇑⪆-210⋕⪉⪜⇑⪆1111213=⇑⪆1304","layer":0}]}
{"id":590,"expression_no_base_symbol":"(($2552$⊹∫⫚$1706$)↓(↽≂$3778$)⫢⨠(⨈⪑$2107$)⊔$4719$∘$3106$)⇡⇂((⇾⩊⇾$1344$)⪔($1055$⨔≚≋$4918$)≓∲(⩷⨜⫀($1114$⪟⇏$1320$)))","expression":"((⇑⪆40202⊹∫⫚⇑⪆23311)↓(↽≂⇑⪆110103)⫢⨠(⨈⪑⇑⪆31412)⊔⇑⪆122334∘⇑⪆44411)⇡⇂((⇾⩊⇾⇑⪆20334)⪔(⇑⪆13210⨔≚≋⇑⪆124133)≓∲(⩷⨜⫀(⇑⪆13424⪟⇏⇑⪆20240)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":152413,"operation_count":14,"complexity_ratio":10886.642857142857,"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":2552,"base":5},"right_expr":{"type":"numeric_atoms","value":1706,"base":5}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3778,"base":5}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":2107,"base":5}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":4719,"base":5},"right_expr":{"type":"numeric_atoms","value":3106,"base":5}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1344,"base":5}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1055,"base":5},"right_expr":{"type":"numeric_atoms","value":4918,"base":5}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1114,"base":5},"right_expr":{"type":"numeric_atoms","value":1320,"base":5}}}}},"used_operators":["UMwdvZNt44","xlXykHWxX1","Af076pWI7l","uWAJUKEvyW","u6S6b8DprG","E4l6HwMY31","mp94q5OcYM","Z5m6OM72h2","s1XTVnmDOJ","GjBEYRfMaF","bx9Z9DAK5y","Z57zeUYC9z","CDi0ktkjQ4","GODebY97qR"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","eH2TOUuTDT","rysDP5nf3Z","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","ruOEQAzv1W","nhYeJWJD5X","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"⇑⪆-1123","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2552","layer":4},{"info":"number node, value=1706","layer":4},{"info":"compute binary expreesion, left_input=2552, right_input=1706, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-304","layer":3},{"info":"number node, value=3778","layer":4},{"info":"compute unary expreesion, input=3778, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7556","layer":3},{"info":"compute binary expreesion, left_input=-304, right_input=-7556, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"number node, value=2107","layer":4},{"info":"compute unary expreesion, input=2107, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"number node, value=4719","layer":4},{"info":"number node, value=3106","layer":4},{"info":"compute binary expreesion, left_input=4719, right_input=3106, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=9438","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=9438, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=46526","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=46526, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"number node, value=1344","layer":4},{"info":"compute unary expreesion, input=1344, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-18582","layer":3},{"info":"number node, value=1055","layer":4},{"info":"number node, value=4918","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=4918, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-18582, right_input=9872, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=1114","layer":4},{"info":"number node, value=1320","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=1320, 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 = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=-766, 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=-1037","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-1037, 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":0}],"base":5,"result_base":5,"text":"((⇑⪆40202⊹∫⫚⇑⪆23311)↓(↽≂⇑⪆110103)⫢⨠(⨈⪑⇑⪆31412)⊔⇑⪆122334∘⇑⪆44411)⇡⇂((⇾⩊⇾⇑⪆20334)⪔(⇑⪆13210⨔≚≋⇑⪆124133)≓∲(⩷⨜⫀(⇑⪆13424⪟⇏⇑⪆20240)))=⇑⪆-1123","reverse_text":"⇑⪆-1123=((⇑⪆40202⊹∫⫚⇑⪆23311)↓(↽≂⇑⪆110103)⫢⨠(⨈⪑⇑⪆31412)⊔⇑⪆122334∘⇑⪆44411)⇡⇂((⇾⩊⇾⇑⪆20334)⪔(⇑⪆13210⨔≚≋⇑⪆124133)≓∲(⩷⨜⫀(⇑⪆13424⪟⇏⇑⪆20240)))","cot":[{"info":"⇑⪆40202⊹∫⫚⇑⪆23311=⇑⪆-2204","layer":3},{"info":"↽≂⇑⪆110103=⇑⪆-220211","layer":3},{"info":"⇑⪆-2204↓⇑⪆-220211=⇑⪆-1014","layer":2},{"info":"⨈⪑⇑⪆31412=⇑⪆11433","layer":3},{"info":"⇑⪆122334∘⇑⪆44411=⇑⪆300223","layer":3},{"info":"⇑⪆11433⊔⇑⪆300223=⇑⪆2442101","layer":2},{"info":"⇑⪆-1014⫢⨠⇑⪆2442101=⇑⪆1120","layer":1},{"info":"⇾⩊⇾⇑⪆20334=⇑⪆-1043312","layer":3},{"info":"⇑⪆13210⨔≚≋⇑⪆124133=⇑⪆303442","layer":3},{"info":"⇑⪆-1043312⪔⇑⪆303442=⇑⪆3300","layer":2},{"info":"⇑⪆13424⪟⇏⇑⪆20240=⇑⪆-1","layer":3},{"info":"⩷⨜⫀⇑⪆-1=⇑⪆-11031","layer":2},{"info":"⇑⪆3300≓∲⇑⪆-11031=⇑⪆-13122","layer":1},{"info":"⇑⪆1120⇡⇂⇑⪆-13122=⇑⪆-1123","layer":0}]}
{"id":591,"expression_no_base_symbol":"((⨆≐≲$1409$)⫚↹⊑$1667$∙∹∝$1161$)⊕∕((+⊝⨔$1848$)⊨(⨙⪌$3942$))⫯⪬∳(+⊝⨔($1290$⫸⊐$1704$)⫁($8739$↳≱$1142$))","expression":"((⨆≐≲⇑⪆21114)⫚↹⊑⇑⪆23132∙∹∝⇑⪆14121)⊕∕((+⊝⨔⇑⪆24343)⊨(⨙⪌⇑⪆111232))⫯⪬∳(+⊝⨔(⇑⪆20130⫸⊐⇑⪆23304)⫁(⇑⪆234424↳≱⇑⪆14032))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1319,"operation_count":12,"complexity_ratio":109.91666666666667,"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":1409,"base":5}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1667,"base":5},"right_expr":{"type":"numeric_atoms","value":1161,"base":5}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1848,"base":5}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":3942,"base":5}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1290,"base":5},"right_expr":{"type":"numeric_atoms","value":1704,"base":5}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":8739,"base":5},"right_expr":{"type":"numeric_atoms","value":1142,"base":5}}}}},"used_operators":["d7ASUq0ydm","9cloC0Ngie","dfKe02y8D2","Bi9z9uYZqW","HmxsFra2vL","vg4gO5BX6G","DhbWaqg5eL","vEGLkm4Z2k","0ajvFaJAv0","mqXw5SEYmG","JwTKLfZU96"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","cHh1gJQ2o6","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"⇑⪆11433","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1409","layer":4},{"info":"compute unary expreesion, input=1409, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=15086616","layer":3},{"info":"number node, value=1667","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=1667, right_input=1161, 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=15086616, right_input=0, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=1848","layer":4},{"info":"compute unary expreesion, input=1848, 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=3942","layer":4},{"info":"compute unary expreesion, input=3942, 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 = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=7119","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=7119, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-447","layer":1},{"info":"number node, value=1290","layer":4},{"info":"number node, value=1704","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=1704, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6691","layer":3},{"info":"number node, value=8739","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=8739, right_input=1142, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6691, right_input=0, 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 = 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=-447, right_input=1522, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=868","layer":0}],"base":5,"result_base":5,"text":"((⨆≐≲⇑⪆21114)⫚↹⊑⇑⪆23132∙∹∝⇑⪆14121)⊕∕((+⊝⨔⇑⪆24343)⊨(⨙⪌⇑⪆111232))⫯⪬∳(+⊝⨔(⇑⪆20130⫸⊐⇑⪆23304)⫁(⇑⪆234424↳≱⇑⪆14032))=⇑⪆11433","reverse_text":"⇑⪆11433=((⨆≐≲⇑⪆21114)⫚↹⊑⇑⪆23132∙∹∝⇑⪆14121)⊕∕((+⊝⨔⇑⪆24343)⊨(⨙⪌⇑⪆111232))⫯⪬∳(+⊝⨔(⇑⪆20130⫸⊐⇑⪆23304)⫁(⇑⪆234424↳≱⇑⪆14032))","cot":[{"info":"⨆≐≲⇑⪆21114=⇑⪆12330232431","layer":3},{"info":"⇑⪆23132∙∹∝⇑⪆14121=⇑⪆0","layer":3},{"info":"⇑⪆12330232431⫚↹⊑⇑⪆0=⇑⪆-3242","layer":2},{"info":"+⊝⨔⇑⪆24343=⇑⪆22042","layer":3},{"info":"⨙⪌⇑⪆111232=⇑⪆11433","layer":3},{"info":"⇑⪆22042⊨⇑⪆11433=⇑⪆211434","layer":2},{"info":"⇑⪆-3242⊕∕⇑⪆211434=⇑⪆-3242","layer":1},{"info":"⇑⪆20130⫸⊐⇑⪆23304=⇑⪆203231","layer":3},{"info":"⇑⪆234424↳≱⇑⪆14032=⇑⪆0","layer":3},{"info":"⇑⪆203231⫁⇑⪆0=⇑⪆1120","layer":2},{"info":"+⊝⨔⇑⪆1120=⇑⪆22042","layer":1},{"info":"⇑⪆-3242⫯⪬∳⇑⪆22042=⇑⪆11433","layer":0}]}
{"id":592,"expression_no_base_symbol":"(($3098$%$1952$)⨿($8779$*$2030$)⩧⪆(∜⨇($2714$⪥$1361$)))⨻⩈⩔(≸≮(($7565$∌↝$4100$)≹⇙⪍($2140$∷$4835$)))","expression":"((⇑⪆44343%⇑⪆30302)⨿(⇑⪆240104*⇑⪆31110)⩧⪆(∜⨇(⇑⪆41324⪥⇑⪆20421)))⨻⩈⩔(≸≮((⇑⪆220230∌↝⇑⪆112400)≹⇙⪍(⇑⪆32030∷⇑⪆123320)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2445,"operation_count":11,"complexity_ratio":222.27272727272728,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3098,"base":5},"right_expr":{"type":"numeric_atoms","value":1952,"base":5}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":8779,"base":5},"right_expr":{"type":"numeric_atoms","value":2030,"base":5}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2714,"base":5},"right_expr":{"type":"numeric_atoms","value":1361,"base":5}}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":7565,"base":5},"right_expr":{"type":"numeric_atoms","value":4100,"base":5}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2140,"base":5},"right_expr":{"type":"numeric_atoms","value":4835,"base":5}}}}},"used_operators":["nEsXyWgiOK","Ikt5ks8PT7","abYXlopdE0","k8jYdgA6NY","9HNa5Wba9A","uFPyJr306J","QbnwKVWMIQ","AljMvE3RRm","AHs5Up7iyr","9Isq31Ruls","D3AQDKkPcf"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eewbuw0ToL","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z","W4YGzv6Whe","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","dWAJyo7jo9","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3098","layer":4},{"info":"number node, value=1952","layer":4},{"info":"compute binary expreesion, left_input=3098, right_input=1952, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1146","layer":3},{"info":"number node, value=8779","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=8779, right_input=2030, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17821370","layer":3},{"info":"compute binary expreesion, left_input=1146, right_input=17821370, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"number node, value=2714","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=2714, right_input=1361, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=15508","layer":3},{"info":"compute unary expreesion, input=15508, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-319, 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=7565","layer":4},{"info":"number node, value=4100","layer":4},{"info":"compute binary expreesion, left_input=7565, right_input=4100, 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=2140","layer":4},{"info":"number node, value=4835","layer":4},{"info":"compute binary expreesion, left_input=2140, right_input=4835, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4835","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4835, 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 = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆44343%⇑⪆30302)⨿(⇑⪆240104*⇑⪆31110)⩧⪆(∜⨇(⇑⪆41324⪥⇑⪆20421)))⨻⩈⩔(≸≮((⇑⪆220230∌↝⇑⪆112400)≹⇙⪍(⇑⪆32030∷⇑⪆123320)))=NaN","reverse_text":"NaN=((⇑⪆44343%⇑⪆30302)⨿(⇑⪆240104*⇑⪆31110)⩧⪆(∜⨇(⇑⪆41324⪥⇑⪆20421)))⨻⩈⩔(≸≮((⇑⪆220230∌↝⇑⪆112400)≹⇙⪍(⇑⪆32030∷⇑⪆123320)))","cot":[{"info":"⇑⪆44343%⇑⪆30302=⇑⪆14041","layer":3},{"info":"⇑⪆240104*⇑⪆31110=⇑⪆14030240440","layer":3},{"info":"⇑⪆14041⨿⇑⪆14030240440=⇑⪆-2234","layer":2},{"info":"⇑⪆41324⪥⇑⪆20421=⇑⪆444013","layer":3},{"info":"∜⨇⇑⪆444013=NaN","layer":2},{"info":"⇑⪆-2234⩧⪆NaN=NaN","layer":1},{"info":"⇑⪆220230∌↝⇑⪆112400=⇑⪆0","layer":3},{"info":"⇑⪆32030∷⇑⪆123320=⇑⪆123320","layer":3},{"info":"⇑⪆0≹⇙⪍⇑⪆123320=NaN","layer":2},{"info":"≸≮NaN=NaN","layer":1},{"info":"NaN⨻⩈⩔NaN=NaN","layer":0}]}
{"id":593,"expression_no_base_symbol":"(($4529$⫡⨏$1352$)⊨($2560$⪁$4004$)⨽(⇨$2112$)∼($4999$⩉⊫⨁))⫣⪄⊒($2192$⊴$3679$⩧⪆$3436$⪟⇏$6092$⊭↱(↩$1373$⇄$5287$))","expression":"((⇑⪆121104⫡⨏⇑⪆20402)⊨(⇑⪆40220⪁⇑⪆112004)⨽(⇨⇑⪆31422)∼(⇑⪆124444⩉⊫⨁))⫣⪄⊒(⇑⪆32232⊴⇑⪆104204⩧⪆⇑⪆102221⪟⇏⇑⪆143332⊭↱(↩⇑⪆20443⇄⇑⪆132122))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":272331661,"operation_count":14,"complexity_ratio":19452261.5,"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":4529,"base":5},"right_expr":{"type":"numeric_atoms","value":1352,"base":5}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2560,"base":5},"right_expr":{"type":"numeric_atoms","value":4004,"base":5}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":2112,"base":5}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":4999,"base":5}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2192,"base":5},"right_expr":{"type":"numeric_atoms","value":3679,"base":5}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3436,"base":5},"right_expr":{"type":"numeric_atoms","value":6092,"base":5}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1373,"base":5},"right_expr":{"type":"numeric_atoms","value":5287,"base":5}}}}},"used_operators":["RabNbG55vr","8HhzD0ZcuI","vg4gO5BX6G","QMFrweE19q","I7sXao9hZE","DyGG3AbaNP","G9tJMlZ94a","7qqUquhhSb","COABgblf1C","Ikt5ks8PT7","Nsiff2A1zJ","GODebY97qR","jLgFTUHLKL","3EYGwJThht"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","k8jYdgA6NY","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4529","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=4529, right_input=1352, 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=26132","layer":3},{"info":"number node, value=2560","layer":4},{"info":"number node, value=4004","layer":4},{"info":"compute binary expreesion, left_input=2560, right_input=4004, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=26132, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=105559","layer":2},{"info":"number node, value=2112","layer":4},{"info":"compute unary expreesion, input=2112, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=4999","layer":4},{"info":"compute unary expreesion, input=4999, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=4999","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4999, 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=105559, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=2192","layer":4},{"info":"number node, value=3679","layer":4},{"info":"compute binary expreesion, left_input=2192, right_input=3679, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3436","layer":4},{"info":"number node, value=6092","layer":4},{"info":"compute binary expreesion, left_input=3436, right_input=6092, 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 = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=1","layer":2},{"info":"number node, value=1373","layer":4},{"info":"number node, value=5287","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=5287, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=4844, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9691","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9691, 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":5,"result_base":5,"text":"((⇑⪆121104⫡⨏⇑⪆20402)⊨(⇑⪆40220⪁⇑⪆112004)⨽(⇨⇑⪆31422)∼(⇑⪆124444⩉⊫⨁))⫣⪄⊒(⇑⪆32232⊴⇑⪆104204⩧⪆⇑⪆102221⪟⇏⇑⪆143332⊭↱(↩⇑⪆20443⇄⇑⪆132122))=NaN","reverse_text":"NaN=((⇑⪆121104⫡⨏⇑⪆20402)⊨(⇑⪆40220⪁⇑⪆112004)⨽(⇨⇑⪆31422)∼(⇑⪆124444⩉⊫⨁))⫣⪄⊒(⇑⪆32232⊴⇑⪆104204⩧⪆⇑⪆102221⪟⇏⇑⪆143332⊭↱(↩⇑⪆20443⇄⇑⪆132122))","cot":[{"info":"⇑⪆121104⫡⨏⇑⪆20402=⇑⪆1314012","layer":3},{"info":"⇑⪆40220⪁⇑⪆112004=NaN","layer":3},{"info":"⇑⪆1314012⊨NaN=⇑⪆11334214","layer":2},{"info":"⇨⇑⪆31422=⇑⪆0","layer":3},{"info":"⇑⪆124444⩉⊫⨁=⇑⪆124444","layer":3},{"info":"⇑⪆0∼⇑⪆124444=NaN","layer":2},{"info":"⇑⪆11334214⨽NaN=NaN","layer":1},{"info":"⇑⪆32232⊴⇑⪆104204=NaN","layer":3},{"info":"⇑⪆102221⪟⇏⇑⪆143332=⇑⪆-1","layer":3},{"info":"NaN⩧⪆⇑⪆-1=⇑⪆1","layer":2},{"info":"⇑⪆20443⇄⇑⪆132122=⇑⪆0","layer":3},{"info":"↩⇑⪆0=⇑⪆123334","layer":2},{"info":"⇑⪆1⊭↱⇑⪆123334=⇑⪆302231","layer":1},{"info":"NaN⫣⪄⊒⇑⪆302231=NaN","layer":0}]}
{"id":594,"expression_no_base_symbol":"($1035$≧⫂∧$2011$∲⫓$1887$⪨⊡$6369$)⨜⨶(($1364$⊋≦⊧$1176$)∓⋝($4046$⩼⇪↪$1091$))⋳⪒(⋂$1369$⪝$3436$+⪬∐(⋃$1195$))","expression":"(⇑⪆13120≧⫂∧⇑⪆31021∲⫓⇑⪆30022⪨⊡⇑⪆200434)⨜⨶((⇑⪆20424⊋≦⊧⇑⪆14201)∓⋝(⇑⪆112141⩼⇪↪⇑⪆13331))⋳⪒(⋂⇑⪆20434⪝⇑⪆102221+⪬∐(⋃⇑⪆14240))","highest_n_order":2,"priority_hierarchical_complexity":11,"normalized_expansion_degree":552,"operation_count":12,"complexity_ratio":46.0,"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":1035,"base":5},"right_expr":{"type":"numeric_atoms","value":2011,"base":5}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1887,"base":5},"right_expr":{"type":"numeric_atoms","value":6369,"base":5}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1364,"base":5},"right_expr":{"type":"numeric_atoms","value":1176,"base":5}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4046,"base":5},"right_expr":{"type":"numeric_atoms","value":1091,"base":5}}}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1369,"base":5},"right_expr":{"type":"numeric_atoms","value":3436,"base":5}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1195,"base":5}}}}},"used_operators":["12rbrZMWeM","HiPekx5b7W","i8ToyICDmI","Ph9nP6C5qx","kuIXHzHcAH","PoHhknlbAi","oRDoc9rAEX","ocnLzx9CaJ","BUOGQAYlQx","2GS7woTJqF","wicAB68Tmb","3mBM5G4a3l"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","g55IO6H4Gj","D4vGDi5EA2","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","g55IO6H4Gj"],"result":"⇑⪆1203133","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":4},{"info":"number node, value=2011","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=2011, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1538","layer":3},{"info":"number node, value=1887","layer":4},{"info":"number node, value=6369","layer":4},{"info":"compute binary expreesion, left_input=1887, right_input=6369, 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=1538, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=1538","layer":2},{"info":"number node, value=1364","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=1364, right_input=1176, 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=-2112","layer":3},{"info":"number node, value=4046","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=4046, right_input=1091, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-328","layer":3},{"info":"compute binary expreesion, left_input=-2112, right_input=-328, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=1538, right_input=67, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=16565","layer":1},{"info":"number node, value=1369","layer":4},{"info":"number node, value=3436","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=3436, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=1195","layer":4},{"info":"compute unary expreesion, input=1195, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=2492","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=2492, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-711","layer":2},{"info":"compute unary expreesion, input=-711, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=10550","layer":1},{"info":"compute binary expreesion, left_input=16565, right_input=10550, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=22293","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆13120≧⫂∧⇑⪆31021∲⫓⇑⪆30022⪨⊡⇑⪆200434)⨜⨶((⇑⪆20424⊋≦⊧⇑⪆14201)∓⋝(⇑⪆112141⩼⇪↪⇑⪆13331))⋳⪒(⋂⇑⪆20434⪝⇑⪆102221+⪬∐(⋃⇑⪆14240))=⇑⪆1203133","reverse_text":"⇑⪆1203133=(⇑⪆13120≧⫂∧⇑⪆31021∲⫓⇑⪆30022⪨⊡⇑⪆200434)⨜⨶((⇑⪆20424⊋≦⊧⇑⪆14201)∓⋝(⇑⪆112141⩼⇪↪⇑⪆13331))⋳⪒(⋂⇑⪆20434⪝⇑⪆102221+⪬∐(⋃⇑⪆14240))","cot":[{"info":"⇑⪆13120≧⫂∧⇑⪆31021=⇑⪆22123","layer":3},{"info":"⇑⪆30022⪨⊡⇑⪆200434=⇑⪆0","layer":3},{"info":"⇑⪆22123∲⫓⇑⪆0=⇑⪆22123","layer":2},{"info":"⇑⪆20424⊋≦⊧⇑⪆14201=⇑⪆-31422","layer":3},{"info":"⇑⪆112141⩼⇪↪⇑⪆13331=⇑⪆-2303","layer":3},{"info":"⇑⪆-31422∓⋝⇑⪆-2303=⇑⪆232","layer":2},{"info":"⇑⪆22123⨜⨶⇑⪆232=⇑⪆1012230","layer":1},{"info":"⇑⪆20434⪝⇑⪆102221=⇑⪆1422","layer":3},{"info":"⋃⇑⪆14240=⇑⪆34432","layer":3},{"info":"⇑⪆1422+⪬∐⇑⪆34432=⇑⪆-10321","layer":2},{"info":"⋂⇑⪆-10321=⇑⪆314200","layer":1},{"info":"⇑⪆1012230⋳⪒⇑⪆314200=⇑⪆1203133","layer":0}]}
{"id":595,"expression_no_base_symbol":"(($5440$⨽$2912$)⨭⪣($4461$⪒$1839$))⊴(($3612$⪛⫼$6725$)⊹∫⫚$1077$⪶≀⋏$8178$)⇌⫙⪟(⇺⋃($1824$⊉↱≁$2181$)⊮⊟↴($5455$↸$1036$))","expression":"((⇑⪆133230⨽⇑⪆43122)⨭⪣(⇑⪆120321⪒⇑⪆24324))⊴((⇑⪆103422⪛⫼⇑⪆203400)⊹∫⫚⇑⪆13302⪶≀⋏⇑⪆230203)⇌⫙⪟(⇺⋃(⇑⪆24244⊉↱≁⇑⪆32211)⊮⊟↴(⇑⪆133310↸⇑⪆13121))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":65905738,"operation_count":12,"complexity_ratio":5492144.833333333,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5440,"base":5},"right_expr":{"type":"numeric_atoms","value":2912,"base":5}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4461,"base":5},"right_expr":{"type":"numeric_atoms","value":1839,"base":5}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":3612,"base":5},"right_expr":{"type":"numeric_atoms","value":6725,"base":5}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1077,"base":5},"right_expr":{"type":"numeric_atoms","value":8178,"base":5}}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1824,"base":5},"right_expr":{"type":"numeric_atoms","value":2181,"base":5}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":5455,"base":5},"right_expr":{"type":"numeric_atoms","value":1036,"base":5}}}}},"used_operators":["AFVx7xoS7T","Nsiff2A1zJ","kn8WO9XteQ","8HhzD0ZcuI","f6k1SAg4EE","uWAJUKEvyW","hyuBjUqXlG","zR4jO40bMj","E5v5B3UAjG","QDVgd2eftb","w2P8NbNXyL","1eCjFl0mb9"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","dWAJyo7jo9","14qkJME0vr","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5440","layer":4},{"info":"number node, value=2912","layer":4},{"info":"compute binary expreesion, left_input=5440, right_input=2912, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-88788222","layer":3},{"info":"number node, value=4461","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=4461, right_input=1839, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6300","layer":3},{"info":"compute binary expreesion, left_input=-88788222, right_input=-6300, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=88787427","layer":2},{"info":"number node, value=3612","layer":4},{"info":"number node, value=6725","layer":4},{"info":"compute binary expreesion, left_input=3612, right_input=6725, 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=1077","layer":4},{"info":"number node, value=8178","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=8178, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-19819","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-19819, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-76","layer":2},{"info":"compute binary expreesion, left_input=88787427, right_input=-76, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1824","layer":4},{"info":"number node, value=2181","layer":4},{"info":"compute binary expreesion, left_input=1824, right_input=2181, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=4040","layer":3},{"info":"number node, value=5455","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=5455, right_input=1036, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=5455","layer":3},{"info":"compute binary expreesion, left_input=4040, right_input=5455, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=169","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=169, 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":5,"result_base":5,"text":"((⇑⪆133230⨽⇑⪆43122)⨭⪣(⇑⪆120321⪒⇑⪆24324))⊴((⇑⪆103422⪛⫼⇑⪆203400)⊹∫⫚⇑⪆13302⪶≀⋏⇑⪆230203)⇌⫙⪟(⇺⋃(⇑⪆24244⊉↱≁⇑⪆32211)⊮⊟↴(⇑⪆133310↸⇑⪆13121))=NaN","reverse_text":"NaN=((⇑⪆133230⨽⇑⪆43122)⨭⪣(⇑⪆120321⪒⇑⪆24324))⊴((⇑⪆103422⪛⫼⇑⪆203400)⊹∫⫚⇑⪆13302⪶≀⋏⇑⪆230203)⇌⫙⪟(⇺⋃(⇑⪆24244⊉↱≁⇑⪆32211)⊮⊟↴(⇑⪆133310↸⇑⪆13121))","cot":[{"info":"⇑⪆133230⨽⇑⪆43122=⇑⪆-140212210342","layer":3},{"info":"⇑⪆120321⪒⇑⪆24324=⇑⪆-200200","layer":3},{"info":"⇑⪆-140212210342⨭⪣⇑⪆-200200=⇑⪆140212144202","layer":2},{"info":"⇑⪆103422⪛⫼⇑⪆203400=⇑⪆12333","layer":3},{"info":"⇑⪆13302⪶≀⋏⇑⪆230203=⇑⪆-1113234","layer":3},{"info":"⇑⪆12333⊹∫⫚⇑⪆-1113234=⇑⪆-301","layer":2},{"info":"⇑⪆140212144202⊴⇑⪆-301=NaN","layer":1},{"info":"⇑⪆24244⊉↱≁⇑⪆32211=⇑⪆112130","layer":3},{"info":"⇑⪆133310↸⇑⪆13121=⇑⪆133310","layer":3},{"info":"⇑⪆112130⊮⊟↴⇑⪆133310=⇑⪆0","layer":2},{"info":"⇺⋃⇑⪆0=⇑⪆1134","layer":1},{"info":"NaN⇌⫙⪟⇑⪆1134=NaN","layer":0}]}
{"id":596,"expression_no_base_symbol":"⊬↢($4484$⊔$5362$⪕($3839$⫳≱↱$1709$))⫞⩸⩒((↡$1286$)↱($5207$⊹≧⊝))","expression":"⊬↢(⇑⪆120414⊔⇑⪆132422⪕(⇑⪆110324⫳≱↱⇑⪆23314))⫞⩸⩒((↡⇑⪆20121)↱(⇑⪆131312⊹≧⊝))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":68342,"operation_count":8,"complexity_ratio":8542.75,"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":4484,"base":5},"right_expr":{"type":"numeric_atoms","value":5362,"base":5}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3839,"base":5},"right_expr":{"type":"numeric_atoms","value":1709,"base":5}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1286,"base":5}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":5207,"base":5}}}}},"used_operators":["WPoGxAaPR1","XGcMNugi78","umQnsF7QlU","E4l6HwMY31","ZvLB05nZmT","SR5kFfdi6N","MXaNJeIAZ3","LxFB4K6j0n"],"dependent_operators":["XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C"],"result":"⇑⪆1333","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4484","layer":4},{"info":"number node, value=5362","layer":4},{"info":"compute binary expreesion, left_input=4484, right_input=5362, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=33378","layer":3},{"info":"number node, value=3839","layer":4},{"info":"number node, value=1709","layer":4},{"info":"compute binary expreesion, left_input=3839, right_input=1709, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=33378, right_input=-204, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=67861","layer":2},{"info":"number node, value=1286","layer":4},{"info":"compute unary expreesion, input=1286, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=11574","layer":3},{"info":"number node, value=5207","layer":4},{"info":"compute unary expreesion, input=5207, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-20828","layer":3},{"info":"compute binary expreesion, left_input=11574, right_input=-20828, 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=-151312","layer":2},{"info":"compute binary expreesion, left_input=67861, right_input=-151312, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=67861","layer":1},{"info":"compute unary expreesion, input=67861, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":0}],"base":5,"result_base":5,"text":"⊬↢(⇑⪆120414⊔⇑⪆132422⪕(⇑⪆110324⫳≱↱⇑⪆23314))⫞⩸⩒((↡⇑⪆20121)↱(⇑⪆131312⊹≧⊝))=⇑⪆1333","reverse_text":"⇑⪆1333=⊬↢(⇑⪆120414⊔⇑⪆132422⪕(⇑⪆110324⫳≱↱⇑⪆23314))⫞⩸⩒((↡⇑⪆20121)↱(⇑⪆131312⊹≧⊝))","cot":[{"info":"⇑⪆120414⊔⇑⪆132422=⇑⪆2032003","layer":3},{"info":"⇑⪆110324⫳≱↱⇑⪆23314=⇑⪆-1304","layer":3},{"info":"⇑⪆2032003⪕⇑⪆-1304=⇑⪆4132421","layer":2},{"info":"↡⇑⪆20121=⇑⪆332244","layer":3},{"info":"⇑⪆131312⊹≧⊝=⇑⪆-1131303","layer":3},{"info":"⇑⪆332244↱⇑⪆-1131303=⇑⪆-14320222","layer":2},{"info":"⇑⪆4132421⫞⩸⩒⇑⪆-14320222=⇑⪆4132421","layer":1},{"info":"⊬↢⇑⪆4132421=⇑⪆1333","layer":0}]}
{"id":597,"expression_no_base_symbol":"(($1843$⨘)⩇∃⫛(≸≮$1408$)⨰(($3995$⨑≵⋬$1132$)↫))⇴(⪁⇼($1192$⨭⪣$1248$))⋹⋡⊁(⋠∜$2319$⨿$7476$)","expression":"((⇑⪆24333⨘)⩇∃⫛(≸≮⇑⪆21113)⨰((⇑⪆111440⨑≵⋬⇑⪆14012)↫))⇴(⪁⇼(⇑⪆14232⨭⪣⇑⪆14443))⋹⋡⊁(⋠∜⇑⪆33234⨿⇑⪆214401)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":74641,"operation_count":12,"complexity_ratio":6220.083333333333,"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":1843,"base":5}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1408,"base":5}}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3995,"base":5},"right_expr":{"type":"numeric_atoms","value":1132,"base":5}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1192,"base":5},"right_expr":{"type":"numeric_atoms","value":1248,"base":5}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2319,"base":5},"right_expr":{"type":"numeric_atoms","value":7476,"base":5}}}}},"used_operators":["4JB6nKBMSY","eewbuw0ToL","1aApVXNlOP","ljcfZBUpm8","AljMvE3RRm","uPb5QRN0te","XnXgA4xnOs","As8RqfVLgs","ZNVVrZ94lY","kn8WO9XteQ","ZJpFhNJr3x","abYXlopdE0"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1843","layer":4},{"info":"compute unary expreesion, input=1843, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-13676","layer":3},{"info":"number node, value=1408","layer":4},{"info":"compute unary expreesion, input=1408, 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=-13676, 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=3995","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=3995, right_input=1132, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=13430","layer":3},{"info":"compute unary expreesion, input=13430, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=1192","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=1248, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-87","layer":3},{"info":"compute unary expreesion, input=-87, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"number node, value=2319","layer":4},{"info":"number node, value=7476","layer":4},{"info":"compute binary expreesion, left_input=2319, right_input=7476, 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 = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=1008","layer":2},{"info":"compute binary expreesion, left_input=422, right_input=1008, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1758","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1758, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆24333⨘)⩇∃⫛(≸≮⇑⪆21113)⨰((⇑⪆111440⨑≵⋬⇑⪆14012)↫))⇴(⪁⇼(⇑⪆14232⨭⪣⇑⪆14443))⋹⋡⊁(⋠∜⇑⪆33234⨿⇑⪆214401)=NaN","reverse_text":"NaN=((⇑⪆24333⨘)⩇∃⫛(≸≮⇑⪆21113)⨰((⇑⪆111440⨑≵⋬⇑⪆14012)↫))⇴(⪁⇼(⇑⪆14232⨭⪣⇑⪆14443))⋹⋡⊁(⋠∜⇑⪆33234⨿⇑⪆214401)","cot":[{"info":"⇑⪆24333⨘=⇑⪆-414201","layer":3},{"info":"≸≮⇑⪆21113=NaN","layer":3},{"info":"⇑⪆-414201⩇∃⫛NaN=NaN","layer":2},{"info":"⇑⪆111440⨑≵⋬⇑⪆14012=⇑⪆412210","layer":3},{"info":"⇑⪆412210↫=⇑⪆1120","layer":2},{"info":"NaN⨰⇑⪆1120=NaN","layer":1},{"info":"⇑⪆14232⨭⪣⇑⪆14443=⇑⪆-322","layer":3},{"info":"⪁⇼⇑⪆-322=⇑⪆3142","layer":2},{"info":"⇑⪆33234⨿⇑⪆214401=⇑⪆-2234","layer":3},{"info":"⋠∜⇑⪆-2234=⇑⪆13013","layer":2},{"info":"⇑⪆3142⋹⋡⊁⇑⪆13013=⇑⪆24013","layer":1},{"info":"NaN⇴⇑⪆24013=NaN","layer":0}]}
{"id":598,"expression_no_base_symbol":"(((≤/$6060$)⊬⨰($2333$↱$2288$))⫣⪄⊒((⫎≠⋺$2788$)⫸⇳$3523$⋾⨃∁$1023$))⊕∕(($2498$⊹∫⫚$5311$⊋≦⊧$1059$⨚⇆$2469$)∀⇚≩(($4168$∙⊟$1787$)⨭⪣($6726$*$1041$)))","expression":"(((≤/⇑⪆143220)⊬⨰(⇑⪆33313↱⇑⪆33123))⫣⪄⊒((⫎≠⋺⇑⪆42123)⫸⇳⇑⪆103043⋾⨃∁⇑⪆13043))⊕∕((⇑⪆34443⊹∫⫚⇑⪆132221⊋≦⊧⇑⪆13214⨚⇆⇑⪆34334)∀⇚≩((⇑⪆113133∙⊟⇑⪆24122)⨭⪣(⇑⪆203401*⇑⪆13131)))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15363,"operation_count":15,"complexity_ratio":1024.2,"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":6060,"base":5}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2333,"base":5},"right_expr":{"type":"numeric_atoms","value":2288,"base":5}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":2788,"base":5}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3523,"base":5},"right_expr":{"type":"numeric_atoms","value":1023,"base":5}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2498,"base":5},"right_expr":{"type":"numeric_atoms","value":5311,"base":5}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1059,"base":5},"right_expr":{"type":"numeric_atoms","value":2469,"base":5}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":4168,"base":5},"right_expr":{"type":"numeric_atoms","value":1787,"base":5}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6726,"base":5},"right_expr":{"type":"numeric_atoms","value":1041,"base":5}}}}},"used_operators":["9cloC0Ngie","RabNbG55vr","s3Fd5m9Dh2","eLAdDNolq6","SR5kFfdi6N","gx7XJ7hdpj","LYeZOJ0nQG","212REbPD9h","LRNGc0VcxI","oRDoc9rAEX","uWAJUKEvyW","lwHaAYXP2r","kn8WO9XteQ","SxTAKzQCrw","9HNa5Wba9A"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","X99M06cbEe","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe"],"result":"⇑⪆1120","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6060","layer":4},{"info":"compute unary expreesion, input=6060, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5576","layer":3},{"info":"number node, value=2333","layer":4},{"info":"number node, value=2288","layer":4},{"info":"compute binary expreesion, left_input=2333, right_input=2288, 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=-6342","layer":3},{"info":"compute binary expreesion, left_input=-5576, right_input=-6342, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-36520","layer":2},{"info":"number node, value=2788","layer":4},{"info":"compute unary expreesion, input=2788, 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=3523","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=3523, right_input=1023, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=10452920","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10452920, 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=-36520, 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":"number node, value=2498","layer":4},{"info":"number node, value=5311","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=5311, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-140","layer":3},{"info":"number node, value=1059","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=2469, 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=-140, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"number node, value=4168","layer":4},{"info":"number node, value=1787","layer":4},{"info":"compute binary expreesion, left_input=4168, right_input=1787, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=64030","layer":3},{"info":"number node, value=6726","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=6726, right_input=1041, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7001766","layer":3},{"info":"compute binary expreesion, left_input=64030, right_input=7001766, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=62751","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=62751, 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=160, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=160","layer":0}],"base":5,"result_base":5,"text":"(((≤/⇑⪆143220)⊬⨰(⇑⪆33313↱⇑⪆33123))⫣⪄⊒((⫎≠⋺⇑⪆42123)⫸⇳⇑⪆103043⋾⨃∁⇑⪆13043))⊕∕((⇑⪆34443⊹∫⫚⇑⪆132221⊋≦⊧⇑⪆13214⨚⇆⇑⪆34334)∀⇚≩((⇑⪆113133∙⊟⇑⪆24122)⨭⪣(⇑⪆203401*⇑⪆13131)))=⇑⪆1120","reverse_text":"⇑⪆1120=(((≤/⇑⪆143220)⊬⨰(⇑⪆33313↱⇑⪆33123))⫣⪄⊒((⫎≠⋺⇑⪆42123)⫸⇳⇑⪆103043⋾⨃∁⇑⪆13043))⊕∕((⇑⪆34443⊹∫⫚⇑⪆132221⊋≦⊧⇑⪆13214⨚⇆⇑⪆34334)∀⇚≩((⇑⪆113133∙⊟⇑⪆24122)⨭⪣(⇑⪆203401*⇑⪆13131)))","cot":[{"info":"≤/⇑⪆143220=⇑⪆-134301","layer":3},{"info":"⇑⪆33313↱⇑⪆33123=⇑⪆-200332","layer":3},{"info":"⇑⪆-134301⊬⨰⇑⪆-200332=⇑⪆-2132040","layer":2},{"info":"⫎≠⋺⇑⪆42123=⇑⪆0","layer":3},{"info":"⇑⪆103043⋾⨃∁⇑⪆13043=⇑⪆10133443140","layer":3},{"info":"⇑⪆0⫸⇳⇑⪆10133443140=⇑⪆0","layer":2},{"info":"⇑⪆-2132040⫣⪄⊒⇑⪆0=⇑⪆1120","layer":1},{"info":"⇑⪆34443⊹∫⫚⇑⪆132221=⇑⪆-1030","layer":3},{"info":"⇑⪆13214⨚⇆⇑⪆34334=NaN","layer":3},{"info":"⇑⪆-1030⊋≦⊧NaN=⇑⪆1232","layer":2},{"info":"⇑⪆113133∙⊟⇑⪆24122=⇑⪆4022110","layer":3},{"info":"⇑⪆203401*⇑⪆13131=⇑⪆3243024031","layer":3},{"info":"⇑⪆4022110⨭⪣⇑⪆3243024031=⇑⪆4002001","layer":2},{"info":"⇑⪆1232∀⇚≩⇑⪆4002001=NaN","layer":1},{"info":"⇑⪆1120⊕∕NaN=⇑⪆1120","layer":0}]}
{"id":599,"expression_no_base_symbol":"($1529$⇮⋭$3972$)≴⪞⇿($4354$⩧⪆$3250$)⪘⫢(($3078$*$1124$)⇣⩺⋵($3268$⨽$1092$))∙∹∝(($3042$⇷$3086$)⨫⇇↔(⫯$2106$))⋕⪉⪜($1585$⩍⋽⫝̸$1021$∠↢$6093$⫸⇳$1665$)","expression":"(⇑⪆22104⇮⋭⇑⪆111342)≴⪞⇿(⇑⪆114404⩧⪆⇑⪆101000)⪘⫢((⇑⪆44303*⇑⪆13444)⇣⩺⋵(⇑⪆101033⨽⇑⪆13332))∙∹∝((⇑⪆44132⇷⇑⪆44321)⨫⇇↔(⫯⇑⪆31411))⋕⪉⪜(⇑⪆22320⩍⋽⫝̸⇑⪆13041∠↢⇑⪆143333⫸⇳⇑⪆23130)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":47272,"operation_count":15,"complexity_ratio":3151.4666666666667,"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":1529,"base":5},"right_expr":{"type":"numeric_atoms","value":3972,"base":5}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":4354,"base":5},"right_expr":{"type":"numeric_atoms","value":3250,"base":5}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3078,"base":5},"right_expr":{"type":"numeric_atoms","value":1124,"base":5}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3268,"base":5},"right_expr":{"type":"numeric_atoms","value":1092,"base":5}}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3042,"base":5},"right_expr":{"type":"numeric_atoms","value":3086,"base":5}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":2106,"base":5}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1585,"base":5},"right_expr":{"type":"numeric_atoms","value":1021,"base":5}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":6093,"base":5},"right_expr":{"type":"numeric_atoms","value":1665,"base":5}}}}},"used_operators":["HmxsFra2vL","oacrs7FA3X","lvlrscuwVU","vkpjKywKVM","Ikt5ks8PT7","F4yD0voBRQ","9HNa5Wba9A","8HhzD0ZcuI","z6LnFrNh4i","LXhwmt4mBO","mp7IySMOzn","H6BK1Evt7c","KbjG8mgYpV","BiWNJpBvwn","gx7XJ7hdpj"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eewbuw0ToL","t8gj7n24qd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Ph9nP6C5qx","xUOZtlo3hN","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1529","layer":4},{"info":"number node, value=3972","layer":4},{"info":"compute binary expreesion, left_input=1529, right_input=3972, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=4354","layer":4},{"info":"number node, value=3250","layer":4},{"info":"compute binary expreesion, left_input=4354, right_input=3250, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3250","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-3250, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-48879","layer":2},{"info":"number node, value=3078","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=3078, right_input=1124, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3459672","layer":3},{"info":"number node, value=3268","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=3268, right_input=1092, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-32041434","layer":3},{"info":"compute binary expreesion, left_input=3459672, right_input=-32041434, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=-48879, right_input=-260, 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":1},{"info":"number node, value=3042","layer":4},{"info":"number node, value=3086","layer":4},{"info":"compute binary expreesion, left_input=3042, right_input=3086, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6172","layer":3},{"info":"number node, value=2106","layer":4},{"info":"compute unary expreesion, input=2106, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-73664","layer":3},{"info":"compute binary expreesion, left_input=6172, right_input=-73664, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=1585","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=1021, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=75","layer":3},{"info":"number node, value=6093","layer":4},{"info":"number node, value=1665","layer":4},{"info":"compute binary expreesion, left_input=6093, right_input=1665, 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=75, right_input=0, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=782","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=782, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=204, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆22104⇮⋭⇑⪆111342)≴⪞⇿(⇑⪆114404⩧⪆⇑⪆101000)⪘⫢((⇑⪆44303*⇑⪆13444)⇣⩺⋵(⇑⪆101033⨽⇑⪆13332))∙∹∝((⇑⪆44132⇷⇑⪆44321)⨫⇇↔(⫯⇑⪆31411))⋕⪉⪜(⇑⪆22320⩍⋽⫝̸⇑⪆13041∠↢⇑⪆143333⫸⇳⇑⪆23130)=⇑⪆0","reverse_text":"⇑⪆0=(⇑⪆22104⇮⋭⇑⪆111342)≴⪞⇿(⇑⪆114404⩧⪆⇑⪆101000)⪘⫢((⇑⪆44303*⇑⪆13444)⇣⩺⋵(⇑⪆101033⨽⇑⪆13332))∙∹∝((⇑⪆44132⇷⇑⪆44321)⨫⇇↔(⫯⇑⪆31411))⋕⪉⪜(⇑⪆22320⩍⋽⫝̸⇑⪆13041∠↢⇑⪆143333⫸⇳⇑⪆23130)","cot":[{"info":"⇑⪆22104⇮⋭⇑⪆111342=⇑⪆-3343","layer":3},{"info":"⇑⪆114404⩧⪆⇑⪆101000=⇑⪆-101000","layer":3},{"info":"⇑⪆-3343≴⪞⇿⇑⪆-101000=⇑⪆-3031004","layer":2},{"info":"⇑⪆44303*⇑⪆13444=⇑⪆1341202142","layer":3},{"info":"⇑⪆101033⨽⇑⪆13332=⇑⪆-31200311214","layer":3},{"info":"⇑⪆1341202142⇣⩺⋵⇑⪆-31200311214=⇑⪆-2020","layer":2},{"info":"⇑⪆-3031004⪘⫢⇑⪆-2020=⇑⪆-1","layer":1},{"info":"⇑⪆44132⇷⇑⪆44321=⇑⪆144142","layer":3},{"info":"⫯⇑⪆31411=⇑⪆-4324124","layer":3},{"info":"⇑⪆144142⨫⇇↔⇑⪆-4324124=⇑⪆-4102","layer":2},{"info":"⇑⪆22320⩍⋽⫝̸⇑⪆13041=⇑⪆300","layer":3},{"info":"⇑⪆143333⫸⇳⇑⪆23130=⇑⪆0","layer":3},{"info":"⇑⪆300∠↢⇑⪆0=⇑⪆11112","layer":2},{"info":"⇑⪆-4102⋕⪉⪜⇑⪆11112=⇑⪆1304","layer":1},{"info":"⇑⪆-1∙∹∝⇑⪆1304=⇑⪆0","layer":0}]}
{"id":600,"expression_no_base_symbol":"((($1152$⨑≵⋬$3965$)⩅⪻⪻)⋹)⫻⋑⊟","expression":"(((⇑⪆14102⨑≵⋬⇑⪆111330)⩅⪻⪻)⋹)⫻⋑⊟","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20843,"operation_count":4,"complexity_ratio":5210.75,"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":1152,"base":5},"right_expr":{"type":"numeric_atoms","value":3965,"base":5}}}}},"used_operators":["o575Zjdmzy","opAxDRczMr","kHoXpA7yos","XnXgA4xnOs"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⇑⪆10010","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1152","layer":4},{"info":"number node, value=3965","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=3965, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-20616","layer":3},{"info":"compute unary expreesion, input=-20616, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, 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 = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=630","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆14102⨑≵⋬⇑⪆111330)⩅⪻⪻)⋹)⫻⋑⊟=⇑⪆10010","reverse_text":"⇑⪆10010=(((⇑⪆14102⨑≵⋬⇑⪆111330)⩅⪻⪻)⋹)⫻⋑⊟","cot":[{"info":"⇑⪆14102⨑≵⋬⇑⪆111330=⇑⪆-1124431","layer":3},{"info":"⇑⪆-1124431⩅⪻⪻=⇑⪆111404","layer":2},{"info":"⇑⪆111404⋹=⇑⪆-40","layer":1},{"info":"⇑⪆-40⫻⋑⊟=⇑⪆10010","layer":0}]}
{"id":601,"expression_no_base_symbol":"⊊≼∋(⩏⊷≩($1465$⫉⨲⊜$1243$⨳⩥⨓($2284$⫚↹⊑$3422$)))","expression":"⊊≼∋(⩏⊷≩(⇑⪆21330⫉⨲⊜⇑⪆14433⨳⩥⨓(⇑⪆33114⫚↹⊑⇑⪆102142)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2496,"operation_count":5,"complexity_ratio":499.2,"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":1465,"base":5},"right_expr":{"type":"numeric_atoms","value":1243,"base":5}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2284,"base":5},"right_expr":{"type":"numeric_atoms","value":3422,"base":5}}}}},"used_operators":["FWz7pXsQhA","uOZ1tnYMDE","nCS4ZIUYfx","WhqkvtTD3t","dfKe02y8D2"],"dependent_operators":["B5M0gjZbta","jCPkEVoL5K","23Mk6UjR3U","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","eewbuw0ToL","zVYPLywUTj","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"⇑⪆-3242","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=1465","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=1243, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=2284","layer":4},{"info":"number node, value=3422","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=3422, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2402","layer":1},{"info":"compute unary expreesion, input=2402, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":0}],"base":5,"result_base":5,"text":"⊊≼∋(⩏⊷≩(⇑⪆21330⫉⨲⊜⇑⪆14433⨳⩥⨓(⇑⪆33114⫚↹⊑⇑⪆102142)))=⇑⪆-3242","reverse_text":"⇑⪆-3242=⊊≼∋(⩏⊷≩(⇑⪆21330⫉⨲⊜⇑⪆14433⨳⩥⨓(⇑⪆33114⫚↹⊑⇑⪆102142)))","cot":[{"info":"⇑⪆21330⫉⨲⊜⇑⪆14433=⇑⪆0","layer":3},{"info":"⇑⪆33114⫚↹⊑⇑⪆102142=⇑⪆-3242","layer":3},{"info":"⇑⪆0⨳⩥⨓⇑⪆-3242=⇑⪆-3242","layer":2},{"info":"⩏⊷≩⇑⪆-3242=⇑⪆34102","layer":1},{"info":"⊊≼∋⇑⪆34102=⇑⪆-3242","layer":0}]}
{"id":602,"expression_no_base_symbol":"($2217$≀⫉$8816$)⨿($4437$≁$9049$)⫒⫫($2621$⩇∃⫛$2732$)⪟⇏$3467$⫞⩸⩒$7163$⊨((⪓⩚$2203$)⨻⩈⩔($2091$⋐⇩⊬)≓∲(↴⪽⋼$8268$⪄$5009$))","expression":"(⇑⪆32332≀⫉⇑⪆240231)⨿(⇑⪆120222≁⇑⪆242144)⫒⫫(⇑⪆40441⩇∃⫛⇑⪆41412)⪟⇏⇑⪆102332⫞⩸⩒⇑⪆212123⊨((⪓⩚⇑⪆32303)⨻⩈⩔(⇑⪆31331⋐⇩⊬)≓∲(↴⪽⋼⇑⪆231033⪄⇑⪆130014))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4323,"operation_count":14,"complexity_ratio":308.7857142857143,"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":2217,"base":5},"right_expr":{"type":"numeric_atoms","value":8816,"base":5}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4437,"base":5},"right_expr":{"type":"numeric_atoms","value":9049,"base":5}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":2621,"base":5},"right_expr":{"type":"numeric_atoms","value":2732,"base":5}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3467,"base":5},"right_expr":{"type":"numeric_atoms","value":7163,"base":5}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":2203,"base":5}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":2091,"base":5}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":8268,"base":5},"right_expr":{"type":"numeric_atoms","value":5009,"base":5}}}}},"used_operators":["vg4gO5BX6G","6Ko8hGgeMq","abYXlopdE0","oZj3VtZNQx","8N2wDY1A35","GODebY97qR","1aApVXNlOP","XGcMNugi78","s1XTVnmDOJ","nEsXyWgiOK","u0R0Locfp2","JuuLT1NoCs","5TUYCnJO6w","SUmda5xLS4"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⇑⪆220223","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2217","layer":4},{"info":"number node, value=8816","layer":4},{"info":"compute binary expreesion, left_input=2217, right_input=8816, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=4437","layer":4},{"info":"number node, value=9049","layer":4},{"info":"compute binary expreesion, left_input=4437, right_input=9049, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=203975","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=203975, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"number node, value=2621","layer":4},{"info":"number node, value=2732","layer":4},{"info":"compute binary expreesion, left_input=2621, right_input=2732, 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=584","layer":3},{"info":"number node, value=3467","layer":4},{"info":"number node, value=7163","layer":4},{"info":"compute binary expreesion, left_input=3467, right_input=7163, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=7163","layer":3},{"info":"compute binary expreesion, left_input=584, right_input=7163, 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=-319, right_input=-1, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=1633","layer":1},{"info":"number node, value=2203","layer":4},{"info":"compute unary expreesion, input=2203, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=2091","layer":4},{"info":"compute unary expreesion, input=2091, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=2091","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=2091, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"number node, value=8268","layer":4},{"info":"number node, value=5009","layer":4},{"info":"compute binary expreesion, left_input=8268, right_input=5009, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1239789","layer":3},{"info":"compute unary expreesion, input=-1239789, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=35822","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=35822, 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=1633, right_input=67, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=7563","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆32332≀⫉⇑⪆240231)⨿(⇑⪆120222≁⇑⪆242144)⫒⫫(⇑⪆40441⩇∃⫛⇑⪆41412)⪟⇏⇑⪆102332⫞⩸⩒⇑⪆212123⊨((⪓⩚⇑⪆32303)⨻⩈⩔(⇑⪆31331⋐⇩⊬)≓∲(↴⪽⋼⇑⪆231033⪄⇑⪆130014))=⇑⪆220223","reverse_text":"⇑⪆220223=(⇑⪆32332≀⫉⇑⪆240231)⨿(⇑⪆120222≁⇑⪆242144)⫒⫫(⇑⪆40441⩇∃⫛⇑⪆41412)⪟⇏⇑⪆102332⫞⩸⩒⇑⪆212123⊨((⪓⩚⇑⪆32303)⨻⩈⩔(⇑⪆31331⋐⇩⊬)≓∲(↴⪽⋼⇑⪆231033⪄⇑⪆130014))","cot":[{"info":"⇑⪆32332≀⫉⇑⪆240231=⇑⪆42242","layer":3},{"info":"⇑⪆120222≁⇑⪆242144=⇑⪆23011400","layer":3},{"info":"⇑⪆42242⨿⇑⪆23011400=⇑⪆-2234","layer":2},{"info":"⇑⪆40441⩇∃⫛⇑⪆41412=⇑⪆4314","layer":3},{"info":"⇑⪆102332⫞⩸⩒⇑⪆212123=⇑⪆212123","layer":3},{"info":"⇑⪆4314⪟⇏⇑⪆212123=⇑⪆-1","layer":2},{"info":"⇑⪆-2234⫒⫫⇑⪆-1=⇑⪆23013","layer":1},{"info":"⪓⩚⇑⪆32303=⇑⪆3201","layer":3},{"info":"⇑⪆31331⋐⇩⊬=⇑⪆31331","layer":3},{"info":"⇑⪆3201⨻⩈⩔⇑⪆31331=⇑⪆-1144","layer":2},{"info":"⇑⪆231033⪄⇑⪆130014=⇑⪆-304133124","layer":3},{"info":"↴⪽⋼⇑⪆-304133124=⇑⪆2121242","layer":2},{"info":"⇑⪆-1144≓∲⇑⪆2121242=⇑⪆232","layer":1},{"info":"⇑⪆23013⊨⇑⪆232=⇑⪆220223","layer":0}]}
{"id":603,"expression_no_base_symbol":"($5357$≄⊠$3146$⪐)≎⪠(($2859$≚⊃≕$1101$)⪟⇏($3669$∪⫐$2187$))⫏⊷","expression":"(⇑⪆132412≄⊠⇑⪆100041⪐)≎⪠((⇑⪆42414≚⊃≕⇑⪆13401)⪟⇏(⇑⪆104134∪⫐⇑⪆32222))⫏⊷","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":78081,"operation_count":7,"complexity_ratio":11154.42857142857,"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":5357,"base":5},"right_expr":{"type":"numeric_atoms","value":3146,"base":5}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2859,"base":5},"right_expr":{"type":"numeric_atoms","value":1101,"base":5}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3669,"base":5},"right_expr":{"type":"numeric_atoms","value":2187,"base":5}}}}},"used_operators":["dcShxvzhyw","aNhz54LH3e","eH2TOUuTDT","vXNesLlMH1","GODebY97qR","Bmrmz2XGnR","7YooWSwCyH"],"dependent_operators":["FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rJVOvQCfKK","2DDjHMKMc0"],"result":"⇑⪆-11240","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5357","layer":4},{"info":"number node, value=3146","layer":4},{"info":"compute binary expreesion, left_input=5357, right_input=3146, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=55004","layer":3},{"info":"compute unary expreesion, input=55004, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=110008","layer":2},{"info":"number node, value=2859","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=2859, right_input=1101, 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=3669","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=3669, right_input=2187, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3669","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=3669, 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=110008, 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 = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆132412≄⊠⇑⪆100041⪐)≎⪠((⇑⪆42414≚⊃≕⇑⪆13401)⪟⇏(⇑⪆104134∪⫐⇑⪆32222))⫏⊷=⇑⪆-11240","reverse_text":"⇑⪆-11240=(⇑⪆132412≄⊠⇑⪆100041⪐)≎⪠((⇑⪆42414≚⊃≕⇑⪆13401)⪟⇏(⇑⪆104134∪⫐⇑⪆32222))⫏⊷","cot":[{"info":"⇑⪆132412≄⊠⇑⪆100041=⇑⪆3230004","layer":3},{"info":"⇑⪆3230004⪐=⇑⪆12010013","layer":2},{"info":"⇑⪆42414≚⊃≕⇑⪆13401=⇑⪆232","layer":3},{"info":"⇑⪆104134∪⫐⇑⪆32222=⇑⪆104134","layer":3},{"info":"⇑⪆232⪟⇏⇑⪆104134=⇑⪆0","layer":2},{"info":"⇑⪆12010013≎⪠⇑⪆0=⇑⪆1111213","layer":1},{"info":"⇑⪆1111213⫏⊷=⇑⪆-11240","layer":0}]}
{"id":604,"expression_no_base_symbol":"(((⩎⋉$1827$)∟)≀⫉($2694$≬⇓$7969$)∥⊢⊲(⫛⫱⨽$1187$))∀⇚≩(($2122$⪥$4062$)∳⫺$1136$⨂≜$2092$≋⫹)","expression":"(((⩎⋉⇑⪆24302)∟)≀⫉(⇑⪆41234≬⇓⇑⪆223334)∥⊢⊲(⫛⫱⨽⇑⪆14222))∀⇚≩((⇑⪆31442⪥⇑⪆112222)∳⫺⇑⪆14021⨂≜⇑⪆31332≋⫹)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22720,"operation_count":11,"complexity_ratio":2065.4545454545455,"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":1827,"base":5}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2694,"base":5},"right_expr":{"type":"numeric_atoms","value":7969,"base":5}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1187,"base":5}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2122,"base":5},"right_expr":{"type":"numeric_atoms","value":4062,"base":5}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1136,"base":5},"right_expr":{"type":"numeric_atoms","value":2092,"base":5}}}}},"used_operators":["LRNGc0VcxI","oZj3VtZNQx","hTbEZDJLEm","FlXk3pOYe8","v1UQAVDJRr","jWTQ2TZYIH","DlLNRPXxWL","N41Kp7NANJ","AzXXKTstlj","QbnwKVWMIQ","k1SHOSEABc"],"dependent_operators":["X99M06cbEe","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","EBcxylXtPf","rGHVDoGpnC","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1827","layer":4},{"info":"compute unary expreesion, input=1827, 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 = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":2},{"info":"number node, value=2694","layer":4},{"info":"number node, value=7969","layer":4},{"info":"compute binary expreesion, left_input=2694, right_input=7969, 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=1187","layer":4},{"info":"compute unary expreesion, input=1187, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=0, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-22, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"number node, value=2122","layer":4},{"info":"number node, value=4062","layer":4},{"info":"compute binary expreesion, left_input=2122, right_input=4062, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=13140","layer":3},{"info":"number node, value=1136","layer":4},{"info":"number node, value=2092","layer":4},{"info":"compute binary expreesion, left_input=1136, right_input=2092, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13140, 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=520","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=520, 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":5,"result_base":5,"text":"(((⩎⋉⇑⪆24302)∟)≀⫉(⇑⪆41234≬⇓⇑⪆223334)∥⊢⊲(⫛⫱⨽⇑⪆14222))∀⇚≩((⇑⪆31442⪥⇑⪆112222)∳⫺⇑⪆14021⨂≜⇑⪆31332≋⫹)=NaN","reverse_text":"NaN=(((⩎⋉⇑⪆24302)∟)≀⫉(⇑⪆41234≬⇓⇑⪆223334)∥⊢⊲(⫛⫱⨽⇑⪆14222))∀⇚≩((⇑⪆31442⪥⇑⪆112222)∳⫺⇑⪆14021⨂≜⇑⪆31332≋⫹)","cot":[{"info":"⩎⋉⇑⪆24302=⇑⪆23100","layer":3},{"info":"⇑⪆23100∟=⇑⪆423","layer":2},{"info":"⇑⪆41234≬⇓⇑⪆223334=⇑⪆-42","layer":3},{"info":"⫛⫱⨽⇑⪆14222=⇑⪆0","layer":3},{"info":"⇑⪆-42∥⊢⊲⇑⪆0=⇑⪆-42","layer":2},{"info":"⇑⪆423≀⫉⇑⪆-42=⇑⪆42242","layer":1},{"info":"⇑⪆31442⪥⇑⪆112222=⇑⪆410030","layer":3},{"info":"⇑⪆14021⨂≜⇑⪆31332=NaN","layer":3},{"info":"⇑⪆410030∳⫺NaN=⇑⪆-2020","layer":2},{"info":"⇑⪆-2020≋⫹=⇑⪆4040","layer":1},{"info":"⇑⪆42242∀⇚≩⇑⪆4040=NaN","layer":0}]}
{"id":605,"expression_no_base_symbol":"(⨛$1528$⋳⪒$7355$⨒$4999$⪨⊡$3155$)∇⊂⋱(⨆≐≲(⋎⨆($2825$⩏)))","expression":"(⨛⇑⪆22103⋳⪒⇑⪆213410⨒⇑⪆124444⪨⊡⇑⪆100110)∇⊂⋱(⨆≐≲(⋎⨆(⇑⪆42300⩏)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":715,"operation_count":8,"complexity_ratio":89.375,"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":1528,"base":5},"right_expr":{"type":"numeric_atoms","value":7355,"base":5}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4999,"base":5},"right_expr":{"type":"numeric_atoms","value":3155,"base":5}}}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":2825,"base":5}}}}},"used_operators":["nhYeJWJD5X","CoMdbyAt7R","y75s1iXyHd","12rbrZMWeM","kuIXHzHcAH","Bi9z9uYZqW","E64sFOc4tB","iA2gmKZ3Wj"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","t8gj7n24qd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","z6LnFrNh4i","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1528","layer":4},{"info":"number node, value=7355","layer":4},{"info":"compute binary expreesion, left_input=1528, right_input=7355, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4586","layer":3},{"info":"number node, value=4999","layer":4},{"info":"number node, value=3155","layer":4},{"info":"compute binary expreesion, left_input=4999, right_input=3155, 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=-4586, 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 = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"number node, value=2825","layer":4},{"info":"compute unary expreesion, input=2825, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-166100","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-166100, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⨛⇑⪆22103⋳⪒⇑⪆213410⨒⇑⪆124444⪨⊡⇑⪆100110)∇⊂⋱(⨆≐≲(⋎⨆(⇑⪆42300⩏)))=NaN","reverse_text":"NaN=(⨛⇑⪆22103⋳⪒⇑⪆213410⨒⇑⪆124444⪨⊡⇑⪆100110)∇⊂⋱(⨆≐≲(⋎⨆(⇑⪆42300⩏)))","cot":[{"info":"⇑⪆22103⋳⪒⇑⪆213410=⇑⪆-121321","layer":3},{"info":"⇑⪆124444⪨⊡⇑⪆100110=⇑⪆0","layer":3},{"info":"⇑⪆-121321⨒⇑⪆0=⇑⪆1","layer":2},{"info":"⨛⇑⪆1=NaN","layer":1},{"info":"⇑⪆42300⩏=⇑⪆0","layer":3},{"info":"⋎⨆⇑⪆0=⇑⪆0","layer":2},{"info":"⨆≐≲⇑⪆0=⇑⪆-20303400","layer":1},{"info":"NaN∇⊂⋱⇑⪆-20303400=NaN","layer":0}]}
{"id":606,"expression_no_base_symbol":"∥⊫((($1094$⊍⩺⋍$2087$)∷($1081$⇔⨋))⫻⋑⊟)","expression":"∥⊫(((⇑⪆13334⊍⩺⋍⇑⪆31322)∷(⇑⪆13311⇔⨋))⫻⋑⊟)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":259,"operation_count":5,"complexity_ratio":51.8,"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":1094,"base":5},"right_expr":{"type":"numeric_atoms","value":2087,"base":5}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1081,"base":5}}}}},"used_operators":["P8v4zCKN1o","o575Zjdmzy","D3AQDKkPcf","OXDGMFPWZM","uBihLCJcMX"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","9FxExcQeMw","NTOWxs364D","7j4O788W3g","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q"],"result":"⇑⪆-210","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1094","layer":4},{"info":"number node, value=2087","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=2087, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=1081","layer":4},{"info":"compute unary expreesion, input=1081, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=5416","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5416, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=5416","layer":2},{"info":"compute unary expreesion, input=5416, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-10322","layer":1},{"info":"compute unary expreesion, input=-10322, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":0}],"base":5,"result_base":5,"text":"∥⊫(((⇑⪆13334⊍⩺⋍⇑⪆31322)∷(⇑⪆13311⇔⨋))⫻⋑⊟)=⇑⪆-210","reverse_text":"⇑⪆-210=∥⊫(((⇑⪆13334⊍⩺⋍⇑⪆31322)∷(⇑⪆13311⇔⨋))⫻⋑⊟)","cot":[{"info":"⇑⪆13334⊍⩺⋍⇑⪆31322=NaN","layer":3},{"info":"⇑⪆13311⇔⨋=⇑⪆133131","layer":3},{"info":"NaN∷⇑⪆133131=⇑⪆133131","layer":2},{"info":"⇑⪆133131⫻⋑⊟=⇑⪆-312242","layer":1},{"info":"∥⊫⇑⪆-312242=⇑⪆-210","layer":0}]}
{"id":607,"expression_no_base_symbol":"↘((($2210$⊟⇱)⨵⪆($1766$⪨≂$3877$))⪇≇⋚(⩦⊞(⇋⊎⋝$4187$)))","expression":"↘(((⇑⪆32320⊟⇱)⨵⪆(⇑⪆24031⪨≂⇑⪆111002))⪇≇⋚(⩦⊞(⇋⊎⋝⇑⪆113222)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4223,"operation_count":7,"complexity_ratio":603.2857142857143,"tree":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":2210,"base":5}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1766,"base":5},"right_expr":{"type":"numeric_atoms","value":3877,"base":5}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":4187,"base":5}}}}},"used_operators":["LdNpr8hQHL","3sJ7IOPOlU","2DQ55sFlQl","03sUfWo75k","sdazOOVcIp","u7fv1HBiaC","CzM2PEoXns"],"dependent_operators":["uFcxV4UQCh","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","dWAJyo7jo9"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2210","layer":4},{"info":"compute unary expreesion, input=2210, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=4736","layer":3},{"info":"number node, value=1766","layer":4},{"info":"number node, value=3877","layer":4},{"info":"compute binary expreesion, left_input=1766, right_input=3877, 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=-4120","layer":3},{"info":"compute binary expreesion, left_input=4736, right_input=-4120, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=4187","layer":4},{"info":"compute unary expreesion, input=4187, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢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 binary expreesion, left_input=160, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=0","layer":0}],"base":5,"result_base":5,"text":"↘(((⇑⪆32320⊟⇱)⨵⪆(⇑⪆24031⪨≂⇑⪆111002))⪇≇⋚(⩦⊞(⇋⊎⋝⇑⪆113222)))=⇑⪆0","reverse_text":"⇑⪆0=↘(((⇑⪆32320⊟⇱)⨵⪆(⇑⪆24031⪨≂⇑⪆111002))⪇≇⋚(⩦⊞(⇋⊎⋝⇑⪆113222)))","cot":[{"info":"⇑⪆32320⊟⇱=⇑⪆122421","layer":3},{"info":"⇑⪆24031⪨≂⇑⪆111002=⇑⪆-112440","layer":3},{"info":"⇑⪆122421⨵⪆⇑⪆-112440=⇑⪆1120","layer":2},{"info":"⇋⊎⋝⇑⪆113222=NaN","layer":3},{"info":"⩦⊞NaN=NaN","layer":2},{"info":"⇑⪆1120⪇≇⋚NaN=⇑⪆0","layer":1},{"info":"↘⇑⪆0=⇑⪆0","layer":0}]}
{"id":608,"expression_no_base_symbol":"⨭⩧⫛((∟⋨$1215$∳⫺$2991$)⫯⪬∳($4108$⪮%⊝$2205$)⇤($1235$⩹$5382$))","expression":"⨭⩧⫛((∟⋨⇑⪆14330∳⫺⇑⪆43431)⫯⪬∳(⇑⪆112413⪮%⊝⇑⪆32310)⇤(⇑⪆14420⩹⇑⪆133012))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1246,"operation_count":7,"complexity_ratio":178.0,"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":1215,"base":5},"right_expr":{"type":"numeric_atoms","value":2991,"base":5}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4108,"base":5},"right_expr":{"type":"numeric_atoms","value":2205,"base":5}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1235,"base":5},"right_expr":{"type":"numeric_atoms","value":5382,"base":5}}}}},"used_operators":["g21JL6JxX7","d7ASUq0ydm","ctOc4cKSDt","AzXXKTstlj","YSKBFp38Pu","IWmyXbctLI","2Wsdkap16l"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eLAdDNolq6","tmPS8pqC7x","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1215","layer":4},{"info":"number node, value=2991","layer":4},{"info":"compute binary expreesion, left_input=1215, right_input=2991, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-1060","layer":3},{"info":"compute unary expreesion, input=-1060, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=1544","layer":2},{"info":"number node, value=4108","layer":4},{"info":"number node, value=2205","layer":4},{"info":"compute binary expreesion, left_input=4108, right_input=2205, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8532","layer":3},{"info":"number node, value=1235","layer":4},{"info":"number node, value=5382","layer":4},{"info":"compute binary expreesion, left_input=1235, right_input=5382, 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=5380","layer":3},{"info":"compute binary expreesion, left_input=8532, right_input=5380, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-66712","layer":2},{"info":"compute binary expreesion, left_input=1544, right_input=-66712, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=4699","layer":1},{"info":"compute unary expreesion, input=4699, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⨭⩧⫛((∟⋨⇑⪆14330∳⫺⇑⪆43431)⫯⪬∳(⇑⪆112413⪮%⊝⇑⪆32310)⇤(⇑⪆14420⩹⇑⪆133012))=NaN","reverse_text":"NaN=⨭⩧⫛((∟⋨⇑⪆14330∳⫺⇑⪆43431)⫯⪬∳(⇑⪆112413⪮%⊝⇑⪆32310)⇤(⇑⪆14420⩹⇑⪆133012))","cot":[{"info":"⇑⪆14330∳⫺⇑⪆43431=⇑⪆-13220","layer":3},{"info":"∟⋨⇑⪆-13220=⇑⪆22134","layer":2},{"info":"⇑⪆112413⪮%⊝⇑⪆32310=⇑⪆233112","layer":3},{"info":"⇑⪆14420⩹⇑⪆133012=⇑⪆133010","layer":3},{"info":"⇑⪆233112⇤⇑⪆133010=⇑⪆-4113322","layer":2},{"info":"⇑⪆22134⫯⪬∳⇑⪆-4113322=⇑⪆122244","layer":1},{"info":"⨭⩧⫛⇑⪆122244=NaN","layer":0}]}
{"id":609,"expression_no_base_symbol":"(↔(⊄⩳↩$1121$⊮⊟↴$3731$))⪨≂(($6685$⊔$1935$)⪚⩙≫)⨼⩣(($1039$≎⊠⪸$5372$)⫒⫫(≉$4637$))","expression":"(↔(⊄⩳↩⇑⪆13441⊮⊟↴⇑⪆104411))⪨≂((⇑⪆203220⊔⇑⪆30220)⪚⩙≫)⨼⩣((⇑⪆13124≎⊠⪸⇑⪆132442)⫒⫫(≉⇑⪆122022))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":712,"operation_count":10,"complexity_ratio":71.2,"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":1121,"base":5},"right_expr":{"type":"numeric_atoms","value":3731,"base":5}}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":6685,"base":5},"right_expr":{"type":"numeric_atoms","value":1935,"base":5}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1039,"base":5},"right_expr":{"type":"numeric_atoms","value":5372,"base":5}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4637,"base":5}}}}},"used_operators":["sdazOOVcIp","ruOEQAzv1W","8w2t5hMYqp","QDVgd2eftb","JxwMv5le6e","4n53wtyJvv","E4l6HwMY31","6Ko8hGgeMq","bJkvcejdHO","e1ybzncUwg"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1121","layer":4},{"info":"number node, value=3731","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=3731, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=789","layer":1},{"info":"number node, value=6685","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=6685, right_input=1935, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=20645","layer":3},{"info":"compute unary expreesion, input=20645, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":2},{"info":"number node, value=1039","layer":4},{"info":"number node, value=5372","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=5372, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=268628","layer":3},{"info":"number node, value=4637","layer":4},{"info":"compute unary expreesion, input=4637, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5168","layer":3},{"info":"compute binary expreesion, left_input=268628, right_input=5168, 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 = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=789, 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":5,"result_base":5,"text":"(↔(⊄⩳↩⇑⪆13441⊮⊟↴⇑⪆104411))⪨≂((⇑⪆203220⊔⇑⪆30220)⪚⩙≫)⨼⩣((⇑⪆13124≎⊠⪸⇑⪆132442)⫒⫫(≉⇑⪆122022))=NaN","reverse_text":"NaN=(↔(⊄⩳↩⇑⪆13441⊮⊟↴⇑⪆104411))⪨≂((⇑⪆203220⊔⇑⪆30220)⪚⩙≫)⨼⩣((⇑⪆13124≎⊠⪸⇑⪆132442)⫒⫫(≉⇑⪆122022))","cot":[{"info":"⇑⪆13441⊮⊟↴⇑⪆104411=⇑⪆0","layer":3},{"info":"⊄⩳↩⇑⪆0=⇑⪆0","layer":2},{"info":"↔⇑⪆0=⇑⪆11124","layer":1},{"info":"⇑⪆203220⊔⇑⪆30220=⇑⪆1130040","layer":3},{"info":"⇑⪆1130040⪚⩙≫=NaN","layer":2},{"info":"⇑⪆13124≎⊠⪸⇑⪆132442=⇑⪆32044003","layer":3},{"info":"≉⇑⪆122022=⇑⪆131133","layer":3},{"info":"⇑⪆32044003⫒⫫⇑⪆131133=NaN","layer":2},{"info":"NaN⨼⩣NaN=NaN","layer":1},{"info":"⇑⪆11124⪨≂NaN=NaN","layer":0}]}
{"id":610,"expression_no_base_symbol":"($1917$⫁⪎$4871$)⨐($3525$⋛$2888$)⩣⫁∢($2096$⪚$1086$)⨑⩅≇($1394$⪎↠$7601$)∌(⨵≀≌((⪛⨧$1065$)⊍⩺⋍(⇜⊴$1841$)))","expression":"(⇑⪆30132⫁⪎⇑⪆123441)⨐(⇑⪆103100⋛⇑⪆43023)⩣⫁∢(⇑⪆31341⪚⇑⪆13321)⨑⩅≇(⇑⪆21034⪎↠⇑⪆220401)∌(⨵≀≌((⪛⨧⇑⪆13230)⊍⩺⋍(⇜⊴⇑⪆24331)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":840,"operation_count":12,"complexity_ratio":70.0,"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":1917,"base":5},"right_expr":{"type":"numeric_atoms","value":4871,"base":5}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3525,"base":5},"right_expr":{"type":"numeric_atoms","value":2888,"base":5}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2096,"base":5},"right_expr":{"type":"numeric_atoms","value":1086,"base":5}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1394,"base":5},"right_expr":{"type":"numeric_atoms","value":7601,"base":5}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1065,"base":5}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1841,"base":5}}}}},"used_operators":["8cLx32lpNA","JDUIKTTSIa","Noe24qw2ks","xRrnTEsQ6j","YbUVn0Rbpy","h92wMvzauj","HrjLwUk87U","3tVxb0NHM4","srAu1WTS94","OXDGMFPWZM","6NJAcO2OWT","XwDhCwWbUn"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"⇑⪆-333110","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1917","layer":4},{"info":"number node, value=4871","layer":4},{"info":"compute binary expreesion, left_input=1917, right_input=4871, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2954","layer":3},{"info":"number node, value=3525","layer":4},{"info":"number node, value=2888","layer":4},{"info":"compute binary expreesion, left_input=3525, right_input=2888, 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=-100467","layer":3},{"info":"compute binary expreesion, left_input=-2954, right_input=-100467, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=5908","layer":2},{"info":"number node, value=2096","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=2096, right_input=1086, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=1664","layer":3},{"info":"number node, value=1394","layer":4},{"info":"number node, value=7601","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=7601, 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=1664, right_input=160, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-4992","layer":2},{"info":"compute binary expreesion, left_input=5908, right_input=-4992, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-11655","layer":1},{"info":"number node, value=1065","layer":4},{"info":"compute unary expreesion, input=1065, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=3531","layer":3},{"info":"number node, value=1841","layer":4},{"info":"compute unary expreesion, input=1841, 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=-420762","layer":3},{"info":"compute binary expreesion, left_input=3531, right_input=-420762, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=-11655, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-11655","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆30132⫁⪎⇑⪆123441)⨐(⇑⪆103100⋛⇑⪆43023)⩣⫁∢(⇑⪆31341⪚⇑⪆13321)⨑⩅≇(⇑⪆21034⪎↠⇑⪆220401)∌(⨵≀≌((⪛⨧⇑⪆13230)⊍⩺⋍(⇜⊴⇑⪆24331)))=⇑⪆-333110","reverse_text":"⇑⪆-333110=(⇑⪆30132⫁⪎⇑⪆123441)⨐(⇑⪆103100⋛⇑⪆43023)⩣⫁∢(⇑⪆31341⪚⇑⪆13321)⨑⩅≇(⇑⪆21034⪎↠⇑⪆220401)∌(⨵≀≌((⪛⨧⇑⪆13230)⊍⩺⋍(⇜⊴⇑⪆24331)))","cot":[{"info":"⇑⪆30132⫁⪎⇑⪆123441=⇑⪆-43304","layer":3},{"info":"⇑⪆103100⋛⇑⪆43023=⇑⪆-11203332","layer":3},{"info":"⇑⪆-43304⨐⇑⪆-11203332=⇑⪆142113","layer":2},{"info":"⇑⪆31341⪚⇑⪆13321=⇑⪆23124","layer":3},{"info":"⇑⪆21034⪎↠⇑⪆220401=⇑⪆1120","layer":3},{"info":"⇑⪆23124⨑⩅≇⇑⪆1120=⇑⪆-124432","layer":2},{"info":"⇑⪆142113⩣⫁∢⇑⪆-124432=⇑⪆-333110","layer":1},{"info":"⪛⨧⇑⪆13230=⇑⪆103111","layer":3},{"info":"⇜⊴⇑⪆24331=⇑⪆-101431022","layer":3},{"info":"⇑⪆103111⊍⩺⋍⇑⪆-101431022=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"⇑⪆-333110∌NaN=⇑⪆-333110","layer":0}]}
{"id":611,"expression_no_base_symbol":"(($2637$⪎↠$1141$)⨔⇊($4351$⪁$4628$)⨔≚≋(⨙⪌($1406$⩒⫫$3305$)))⨜⨶(($4718$⨿$6045$⫁⪎$3371$∓⋝$4319$)⇉⇱⇎)","expression":"((⇑⪆41022⪎↠⇑⪆14031)⨔⇊(⇑⪆114401⪁⇑⪆122003)⨔≚≋(⨙⪌(⇑⪆21111⩒⫫⇑⪆101210)))⨜⨶((⇑⪆122333⨿⇑⪆143140⫁⪎⇑⪆101441∓⋝⇑⪆114234)⇉⇱⇎)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":984170996,"operation_count":11,"complexity_ratio":89470090.54545455,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2637,"base":5},"right_expr":{"type":"numeric_atoms","value":1141,"base":5}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":4351,"base":5},"right_expr":{"type":"numeric_atoms","value":4628,"base":5}}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1406,"base":5},"right_expr":{"type":"numeric_atoms","value":3305,"base":5}}}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":4718,"base":5},"right_expr":{"type":"numeric_atoms","value":6045,"base":5}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3371,"base":5},"right_expr":{"type":"numeric_atoms","value":4319,"base":5}}}}},"used_operators":["HiPekx5b7W","Z57zeUYC9z","JclMnS0uGI","3tVxb0NHM4","I7sXao9hZE","vEGLkm4Z2k","KFSx94NKJn","MRPaB8lBjK","xRrnTEsQ6j","abYXlopdE0","PoHhknlbAi"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=2637","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=2637, right_input=1141, 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=4351","layer":4},{"info":"number node, value=4628","layer":4},{"info":"compute binary expreesion, left_input=4351, right_input=4628, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":2},{"info":"number node, value=1406","layer":4},{"info":"number node, value=3305","layer":4},{"info":"compute binary expreesion, left_input=1406, right_input=3305, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1104","layer":3},{"info":"compute unary expreesion, input=1104, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"number node, value=4718","layer":4},{"info":"number node, value=6045","layer":4},{"info":"compute binary expreesion, left_input=4718, right_input=6045, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=3371","layer":4},{"info":"number node, value=4319","layer":4},{"info":"compute binary expreesion, left_input=3371, right_input=4319, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=67, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-386","layer":2},{"info":"compute unary expreesion, input=-386, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=218","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=218, 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":5,"result_base":5,"text":"((⇑⪆41022⪎↠⇑⪆14031)⨔⇊(⇑⪆114401⪁⇑⪆122003)⨔≚≋(⨙⪌(⇑⪆21111⩒⫫⇑⪆101210)))⨜⨶((⇑⪆122333⨿⇑⪆143140⫁⪎⇑⪆101441∓⋝⇑⪆114234)⇉⇱⇎)=NaN","reverse_text":"NaN=((⇑⪆41022⪎↠⇑⪆14031)⨔⇊(⇑⪆114401⪁⇑⪆122003)⨔≚≋(⨙⪌(⇑⪆21111⩒⫫⇑⪆101210)))⨜⨶((⇑⪆122333⨿⇑⪆143140⫁⪎⇑⪆101441∓⋝⇑⪆114234)⇉⇱⇎)","cot":[{"info":"⇑⪆41022⪎↠⇑⪆14031=⇑⪆1120","layer":3},{"info":"⇑⪆114401⪁⇑⪆122003=NaN","layer":3},{"info":"⇑⪆1120⨔⇊NaN=NaN","layer":2},{"info":"⇑⪆21111⩒⫫⇑⪆101210=⇑⪆13404","layer":3},{"info":"⨙⪌⇑⪆13404=⇑⪆11433","layer":2},{"info":"NaN⨔≚≋⇑⪆11433=NaN","layer":1},{"info":"⇑⪆122333⨿⇑⪆143140=⇑⪆-2234","layer":3},{"info":"⇑⪆101441∓⋝⇑⪆114234=⇑⪆232","layer":3},{"info":"⇑⪆-2234⫁⪎⇑⪆232=⇑⪆-3021","layer":2},{"info":"⇑⪆-3021⇉⇱⇎=⇑⪆1333","layer":1},{"info":"NaN⨜⨶⇑⪆1333=NaN","layer":0}]}
{"id":612,"expression_no_base_symbol":"((⊊≼∋($1212$⨲∙))↸(⩦⊞($1508$⫑%∭)))⪚(⇠((⪛⨧$1788$)⨐⩸⫘$4734$⨔⇊$2607$))","expression":"((⊊≼∋(⇑⪆14322⨲∙))↸(⩦⊞(⇑⪆22013⫑%∭)))⪚(⇠((⪛⨧⇑⪆24123)⨐⩸⫘⇑⪆122414⨔⇊⇑⪆40412))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14579295,"operation_count":10,"complexity_ratio":1457929.5,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":1212,"base":5}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":1508,"base":5}}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1788,"base":5}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4734,"base":5},"right_expr":{"type":"numeric_atoms","value":2607,"base":5}}}}},"used_operators":["HrjLwUk87U","1eCjFl0mb9","FWz7pXsQhA","cRahaglYVE","u7fv1HBiaC","xUx7qlDO4z","18saOjeKKm","fu6greOZ01","6NJAcO2OWT","JclMnS0uGI"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","B5M0gjZbta","jCPkEVoL5K","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","3ViojmjbAp","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"⇑⪆33","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1212","layer":4},{"info":"compute unary expreesion, input=1212, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=14577798","layer":3},{"info":"compute unary expreesion, input=14577798, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":2},{"info":"number node, value=1508","layer":4},{"info":"compute unary expreesion, input=1508, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-447","layer":1},{"info":"number node, value=1788","layer":4},{"info":"compute unary expreesion, input=1788, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=4977","layer":3},{"info":"number node, value=4734","layer":4},{"info":"number node, value=2607","layer":4},{"info":"compute binary expreesion, left_input=4734, right_input=2607, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2607","layer":3},{"info":"compute binary expreesion, left_input=4977, right_input=2607, 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 = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=18","layer":0}],"base":5,"result_base":5,"text":"((⊊≼∋(⇑⪆14322⨲∙))↸(⩦⊞(⇑⪆22013⫑%∭)))⪚(⇠((⪛⨧⇑⪆24123)⨐⩸⫘⇑⪆122414⨔⇊⇑⪆40412))=⇑⪆33","reverse_text":"⇑⪆33=((⊊≼∋(⇑⪆14322⨲∙))↸(⩦⊞(⇑⪆22013⫑%∭)))⪚(⇠((⪛⨧⇑⪆24123)⨐⩸⫘⇑⪆122414⨔⇊⇑⪆40412))","cot":[{"info":"⇑⪆14322⨲∙=⇑⪆12212442143","layer":3},{"info":"⊊≼∋⇑⪆12212442143=⇑⪆-3242","layer":2},{"info":"⇑⪆22013⫑%∭=NaN","layer":3},{"info":"⩦⊞NaN=NaN","layer":2},{"info":"⇑⪆-3242↸NaN=⇑⪆-3242","layer":1},{"info":"⪛⨧⇑⪆24123=⇑⪆124402","layer":3},{"info":"⇑⪆122414⨔⇊⇑⪆40412=⇑⪆40412","layer":3},{"info":"⇑⪆124402⨐⩸⫘⇑⪆40412=NaN","layer":2},{"info":"⇠NaN=NaN","layer":1},{"info":"⇑⪆-3242⪚NaN=⇑⪆33","layer":0}]}
{"id":613,"expression_no_base_symbol":"(⇋↷((↡$1405$)∝(⨈⪑$3494$)))*((⪁⇼$2893$)⨽∌($3583$⪒$4307$)⪨≂($1720$∼$1830$)∊∟⩊($1372$⇴$1068$))","expression":"(⇋↷((↡⇑⪆21110)∝(⨈⪑⇑⪆102434)))*((⪁⇼⇑⪆43033)⨽∌(⇑⪆103313⪒⇑⪆114212)⪨≂(⇑⪆23340∼⇑⪆24310)∊∟⩊(⇑⪆20442⇴⇑⪆13233))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":20175,"operation_count":12,"complexity_ratio":1681.25,"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":1405,"base":5}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":3494,"base":5}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":2893,"base":5}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3583,"base":5},"right_expr":{"type":"numeric_atoms","value":4307,"base":5}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1720,"base":5},"right_expr":{"type":"numeric_atoms","value":1830,"base":5}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1372,"base":5},"right_expr":{"type":"numeric_atoms","value":1068,"base":5}}}}},"used_operators":["9HNa5Wba9A","SWo3A1KBJH","cTDWOvIxvz","MXaNJeIAZ3","mp94q5OcYM","sdazOOVcIp","9samAPKr6k","ZNVVrZ94lY","f6k1SAg4EE","ddLRYrp01A","DyGG3AbaNP","4JB6nKBMSY"],"dependent_operators":["W4YGzv6Whe","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","7j4O788W3g","W4YGzv6Whe","COABgblf1C","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"⇑⪆-13104032100100","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1405","layer":4},{"info":"compute unary expreesion, input=1405, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=12645","layer":3},{"info":"number node, value=3494","layer":4},{"info":"compute unary expreesion, input=3494, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=12645, right_input=868, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=12650","layer":2},{"info":"compute unary expreesion, input=12650, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=101200","layer":1},{"info":"number node, value=2893","layer":4},{"info":"compute unary expreesion, input=2893, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=3583","layer":4},{"info":"number node, value=4307","layer":4},{"info":"compute binary expreesion, left_input=3583, right_input=4307, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7890","layer":3},{"info":"compute binary expreesion, left_input=422, right_input=-7890, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=1720","layer":4},{"info":"number node, value=1830","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=1830, 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=1372","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=1372, right_input=1068, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=9982","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9982, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=9982","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=9982, 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=-19862","layer":1},{"info":"compute binary expreesion, left_input=101200, right_input=-19862, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-2010034400","layer":0}],"base":5,"result_base":5,"text":"(⇋↷((↡⇑⪆21110)∝(⨈⪑⇑⪆102434)))*((⪁⇼⇑⪆43033)⨽∌(⇑⪆103313⪒⇑⪆114212)⪨≂(⇑⪆23340∼⇑⪆24310)∊∟⩊(⇑⪆20442⇴⇑⪆13233))=⇑⪆-13104032100100","reverse_text":"⇑⪆-13104032100100=(⇋↷((↡⇑⪆21110)∝(⨈⪑⇑⪆102434)))*((⪁⇼⇑⪆43033)⨽∌(⇑⪆103313⪒⇑⪆114212)⪨≂(⇑⪆23340∼⇑⪆24310)∊∟⩊(⇑⪆20442⇴⇑⪆13233))","cot":[{"info":"↡⇑⪆21110=⇑⪆401040","layer":3},{"info":"⨈⪑⇑⪆102434=⇑⪆11433","layer":3},{"info":"⇑⪆401040∝⇑⪆11433=⇑⪆401100","layer":2},{"info":"⇋↷⇑⪆401100=⇑⪆11214300","layer":1},{"info":"⪁⇼⇑⪆43033=⇑⪆3142","layer":3},{"info":"⇑⪆103313⪒⇑⪆114212=⇑⪆-223030","layer":3},{"info":"⇑⪆3142⨽∌⇑⪆-223030=⇑⪆0","layer":2},{"info":"⇑⪆23340∼⇑⪆24310=NaN","layer":3},{"info":"⇑⪆20442⇴⇑⪆13233=⇑⪆304412","layer":3},{"info":"NaN∊∟⩊⇑⪆304412=⇑⪆304412","layer":2},{"info":"⇑⪆0⪨≂⇑⪆304412=⇑⪆-1113422","layer":1},{"info":"⇑⪆11214300*⇑⪆-1113422=⇑⪆-13104032100100","layer":0}]}
{"id":614,"expression_no_base_symbol":"↔(($1950$⫸⊐$2024$)⩖⊿(+⊝⨔$3844$)⊋($1715$⪃⊛⇣$4356$⊍⩺⋍$2138$⫸⊐$3579$))","expression":"↔((⇑⪆30300⫸⊐⇑⪆31044)⩖⊿(+⊝⨔⇑⪆110334)⊋(⇑⪆23330⪃⊛⇣⇑⪆114411⊍⩺⋍⇑⪆32023⫸⊐⇑⪆103304))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":951,"operation_count":8,"complexity_ratio":118.875,"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":1950,"base":5},"right_expr":{"type":"numeric_atoms","value":2024,"base":5}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3844,"base":5}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1715,"base":5},"right_expr":{"type":"numeric_atoms","value":4356,"base":5}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2138,"base":5},"right_expr":{"type":"numeric_atoms","value":3579,"base":5}}}}},"used_operators":["ruOEQAzv1W","W4tP9CfskL","RZ5CV9rWsJ","mqXw5SEYmG","DhbWaqg5eL","OXDGMFPWZM","rrgAzCduG9"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"⇑⪆-1014","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1950","layer":4},{"info":"number node, value=2024","layer":4},{"info":"compute binary expreesion, left_input=1950, right_input=2024, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7971","layer":3},{"info":"number node, value=3844","layer":4},{"info":"compute unary expreesion, input=3844, 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=7971, right_input=1522, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-19790","layer":2},{"info":"number node, value=1715","layer":4},{"info":"number node, value=4356","layer":4},{"info":"compute binary expreesion, left_input=1715, right_input=4356, 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=2138","layer":4},{"info":"number node, value=3579","layer":4},{"info":"compute binary expreesion, left_input=2138, right_input=3579, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14191","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=14191, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-19790, 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 unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":5,"result_base":5,"text":"↔((⇑⪆30300⫸⊐⇑⪆31044)⩖⊿(+⊝⨔⇑⪆110334)⊋(⇑⪆23330⪃⊛⇣⇑⪆114411⊍⩺⋍⇑⪆32023⫸⊐⇑⪆103304))=⇑⪆-1014","reverse_text":"⇑⪆-1014=↔((⇑⪆30300⫸⊐⇑⪆31044)⩖⊿(+⊝⨔⇑⪆110334)⊋(⇑⪆23330⪃⊛⇣⇑⪆114411⊍⩺⋍⇑⪆32023⫸⊐⇑⪆103304))","cot":[{"info":"⇑⪆30300⫸⊐⇑⪆31044=⇑⪆223341","layer":3},{"info":"+⊝⨔⇑⪆110334=⇑⪆22042","layer":3},{"info":"⇑⪆223341⩖⊿⇑⪆22042=⇑⪆-1113130","layer":2},{"info":"⇑⪆23330⪃⊛⇣⇑⪆114411=⇑⪆14414","layer":3},{"info":"⇑⪆32023⫸⊐⇑⪆103304=⇑⪆423231","layer":3},{"info":"⇑⪆14414⊍⩺⋍⇑⪆423231=NaN","layer":2},{"info":"⇑⪆-1113130⊋NaN=NaN","layer":1},{"info":"↔NaN=⇑⪆-1014","layer":0}]}
{"id":615,"expression_no_base_symbol":"⋣((⨛$1650$)⫁($2121$⩺⪪$6539$)≀⩗∶((⫯$5691$)⩹$4881$↬$6195$))","expression":"⋣((⨛⇑⪆23100)⫁(⇑⪆31441⩺⪪⇑⪆202124)≀⩗∶((⫯⇑⪆140231)⩹⇑⪆124011↬⇑⪆144240))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5808,"operation_count":8,"complexity_ratio":726.0,"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":1650,"base":5}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2121,"base":5},"right_expr":{"type":"numeric_atoms","value":6539,"base":5}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":5691,"base":5}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4881,"base":5},"right_expr":{"type":"numeric_atoms","value":6195,"base":5}}}}},"used_operators":["zQWRhDnn8F","8INZBEW696","0ajvFaJAv0","CoMdbyAt7R","uvdQJvN4PV","2Wsdkap16l","H6BK1Evt7c","B5M0gjZbta"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","cHh1gJQ2o6","AHs5Up7iyr","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","rGHVDoGpnC"],"result":"⇑⪆-423","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1650","layer":4},{"info":"compute unary expreesion, input=1650, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=2121","layer":4},{"info":"number node, value=6539","layer":4},{"info":"compute binary expreesion, left_input=2121, right_input=6539, 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 = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=5691","layer":4},{"info":"compute unary expreesion, input=5691, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-224234","layer":3},{"info":"number node, value=4881","layer":4},{"info":"number node, value=6195","layer":4},{"info":"compute binary expreesion, left_input=4881, right_input=6195, 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=-224234, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":0}],"base":5,"result_base":5,"text":"⋣((⨛⇑⪆23100)⫁(⇑⪆31441⩺⪪⇑⪆202124)≀⩗∶((⫯⇑⪆140231)⩹⇑⪆124011↬⇑⪆144240))=⇑⪆-423","reverse_text":"⇑⪆-423=⋣((⨛⇑⪆23100)⫁(⇑⪆31441⩺⪪⇑⪆202124)≀⩗∶((⫯⇑⪆140231)⩹⇑⪆124011↬⇑⪆144240))","cot":[{"info":"⨛⇑⪆23100=NaN","layer":3},{"info":"⇑⪆31441⩺⪪⇑⪆202124=⇑⪆-24233","layer":3},{"info":"NaN⫁⇑⪆-24233=⇑⪆1120","layer":2},{"info":"⫯⇑⪆140231=⇑⪆-24133414","layer":3},{"info":"⇑⪆124011↬⇑⪆144240=NaN","layer":3},{"info":"⇑⪆-24133414⩹NaN=NaN","layer":2},{"info":"⇑⪆1120≀⩗∶NaN=NaN","layer":1},{"info":"⋣NaN=⇑⪆-423","layer":0}]}
{"id":616,"expression_no_base_symbol":"((⇤←($5885$⪊≅))⊘)⪘⨀","expression":"((⇤←(⇑⪆142020⪊≅))⊘)⪘⨀","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":72,"operation_count":4,"complexity_ratio":18.0,"tree":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":5885,"base":5}}}}},"used_operators":["aA7tF3KVD3","gu96TGCTMs","jfAgQ2OQeM","bjFbhXSADs"],"dependent_operators":["bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5885","layer":4},{"info":"compute unary expreesion, input=5885, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=1366","layer":2},{"info":"compute unary expreesion, input=1366, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇤←(⇑⪆142020⪊≅))⊘)⪘⨀=NaN","reverse_text":"NaN=((⇤←(⇑⪆142020⪊≅))⊘)⪘⨀","cot":[{"info":"⇑⪆142020⪊≅=⇑⪆0","layer":3},{"info":"⇤←⇑⪆0=⇑⪆20431","layer":2},{"info":"⇑⪆20431⊘=⇑⪆0","layer":1},{"info":"⇑⪆0⪘⨀=NaN","layer":0}]}
{"id":617,"expression_no_base_symbol":"((↣≠⋷$2086$)⇷($1875$∑⇟⊟$3197$))⊲⩕⊾($1702$≚⊃≕$3607$)+⪬∐$2042$⨜⨶$1486$≃(($4137$⋝⋈⪟$2744$)⇔⨋)⋛(∤↝$9340$⩌⋺$4648$)","expression":"((↣≠⋷⇑⪆31321)⇷(⇑⪆30000∑⇟⊟⇑⪆100242))⊲⩕⊾(⇑⪆23302≚⊃≕⇑⪆103412)+⪬∐⇑⪆31132⨜⨶⇑⪆21421≃((⇑⪆113022⋝⋈⪟⇑⪆41434)⇔⨋)⋛(∤↝⇑⪆244330⩌⋺⇑⪆122043)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":200,"operation_count":13,"complexity_ratio":15.384615384615385,"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":2086,"base":5}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1875,"base":5},"right_expr":{"type":"numeric_atoms","value":3197,"base":5}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1702,"base":5},"right_expr":{"type":"numeric_atoms","value":3607,"base":5}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2042,"base":5},"right_expr":{"type":"numeric_atoms","value":1486,"base":5}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4137,"base":5},"right_expr":{"type":"numeric_atoms","value":2744,"base":5}}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":9340,"base":5},"right_expr":{"type":"numeric_atoms","value":4648,"base":5}}}}},"used_operators":["YbVcJGFEVW","DmTXOeWf9t","mp7IySMOzn","Asc51vEJeQ","U7g4x0WXJJ","2GS7woTJqF","Bmrmz2XGnR","HiPekx5b7W","YbUVn0Rbpy","uBihLCJcMX","2DDjHMKMc0","3UMq87Qwqg","g7Hmc5v1ko"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"⇑⪆20313223","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2086","layer":4},{"info":"compute unary expreesion, input=2086, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1875","layer":4},{"info":"number node, value=3197","layer":4},{"info":"compute binary expreesion, left_input=1875, right_input=3197, 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=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1702","layer":4},{"info":"number node, value=3607","layer":4},{"info":"compute binary expreesion, left_input=1702, right_input=3607, 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=-10913","layer":3},{"info":"number node, value=2042","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=2042, right_input=1486, 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=-2716","layer":3},{"info":"compute binary expreesion, left_input=-10913, right_input=-2716, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=32739","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=32739, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"number node, value=4137","layer":4},{"info":"number node, value=2744","layer":4},{"info":"compute binary expreesion, left_input=4137, right_input=2744, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4137","layer":3},{"info":"compute unary expreesion, input=4137, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=23752","layer":2},{"info":"number node, value=9340","layer":4},{"info":"number node, value=4648","layer":4},{"info":"compute binary expreesion, left_input=9340, right_input=4648, 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=-14109","layer":3},{"info":"compute unary expreesion, input=-14109, 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=-14109","layer":2},{"info":"compute binary expreesion, left_input=23752, right_input=-14109, 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=-41682","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-41682, 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=166688","layer":0}],"base":5,"result_base":5,"text":"((↣≠⋷⇑⪆31321)⇷(⇑⪆30000∑⇟⊟⇑⪆100242))⊲⩕⊾(⇑⪆23302≚⊃≕⇑⪆103412)+⪬∐⇑⪆31132⨜⨶⇑⪆21421≃((⇑⪆113022⋝⋈⪟⇑⪆41434)⇔⨋)⋛(∤↝⇑⪆244330⩌⋺⇑⪆122043)=⇑⪆20313223","reverse_text":"⇑⪆20313223=((↣≠⋷⇑⪆31321)⇷(⇑⪆30000∑⇟⊟⇑⪆100242))⊲⩕⊾(⇑⪆23302≚⊃≕⇑⪆103412)+⪬∐⇑⪆31132⨜⨶⇑⪆21421≃((⇑⪆113022⋝⋈⪟⇑⪆41434)⇔⨋)⋛(∤↝⇑⪆244330⩌⋺⇑⪆122043)","cot":[{"info":"↣≠⋷⇑⪆31321=NaN","layer":3},{"info":"⇑⪆30000∑⇟⊟⇑⪆100242=NaN","layer":3},{"info":"NaN⇷NaN=NaN","layer":2},{"info":"⇑⪆23302≚⊃≕⇑⪆103412=⇑⪆-322123","layer":3},{"info":"⇑⪆31132⨜⨶⇑⪆21421=⇑⪆-41331","layer":3},{"info":"⇑⪆-322123+⪬∐⇑⪆-41331=⇑⪆2021424","layer":2},{"info":"NaN⊲⩕⊾⇑⪆2021424=NaN","layer":1},{"info":"⇑⪆113022⋝⋈⪟⇑⪆41434=⇑⪆113022","layer":3},{"info":"⇑⪆113022⇔⨋=⇑⪆1230002","layer":2},{"info":"⇑⪆244330⩌⋺⇑⪆122043=⇑⪆-422414","layer":3},{"info":"∤↝⇑⪆-422414=⇑⪆-422414","layer":2},{"info":"⇑⪆1230002⋛⇑⪆-422414=⇑⪆-2313212","layer":1},{"info":"NaN≃⇑⪆-2313212=⇑⪆20313223","layer":0}]}
{"id":618,"expression_no_base_symbol":"(⪨⨬($1667$↱$4107$))⨚⇆(⇙⪊$4707$)⊕∕($1015$∺≝⩲$2143$)⪶≀⋏($2950$∌↝$1715$+⇶⊼(⊬↢$4557$))↤⩊(↔($3788$⇟⨁⪰))","expression":"(⪨⨬(⇑⪆23132↱⇑⪆112412))⨚⇆(⇙⪊⇑⪆122312)⊕∕(⇑⪆13030∺≝⩲⇑⪆32033)⪶≀⋏(⇑⪆43300∌↝⇑⪆23330+⇶⊼(⊬↢⇑⪆121212))↤⩊(↔(⇑⪆110123⇟⨁⪰))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":8632,"operation_count":13,"complexity_ratio":664.0,"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":1667,"base":5},"right_expr":{"type":"numeric_atoms","value":4107,"base":5}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":4707,"base":5}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1015,"base":5},"right_expr":{"type":"numeric_atoms","value":2143,"base":5}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2950,"base":5},"right_expr":{"type":"numeric_atoms","value":1715,"base":5}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":4557,"base":5}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":3788,"base":5}}}}},"used_operators":["zR4jO40bMj","lwHaAYXP2r","5obUd6DV38","SR5kFfdi6N","9cloC0Ngie","pB6Fcnrjim","KPf6cnQVty","13rbtpv6ld","TpPTUOHfaN","9Isq31Ruls","WPoGxAaPR1","ruOEQAzv1W","BX1lVwlMe0"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","T2fj7uvVaJ","nlCqmYiOvY","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","AHs5Up7iyr","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","2DDjHMKMc0","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1667","layer":4},{"info":"number node, value=4107","layer":4},{"info":"compute binary expreesion, left_input=1667, right_input=4107, 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=-11799","layer":3},{"info":"compute unary expreesion, input=-11799, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"number node, value=4707","layer":4},{"info":"compute unary expreesion, input=4707, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=2143","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=2143, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-526, right_input=0, 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=2950","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=2950, right_input=1715, 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=4557","layer":4},{"info":"compute unary expreesion, input=4557, 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=0, right_input=218, 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=3788","layer":4},{"info":"compute unary expreesion, input=3788, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-3962","layer":3},{"info":"compute unary expreesion, input=-3962, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":5,"result_base":5,"text":"(⪨⨬(⇑⪆23132↱⇑⪆112412))⨚⇆(⇙⪊⇑⪆122312)⊕∕(⇑⪆13030∺≝⩲⇑⪆32033)⪶≀⋏(⇑⪆43300∌↝⇑⪆23330+⇶⊼(⊬↢⇑⪆121212))↤⩊(↔(⇑⪆110123⇟⨁⪰))=NaN","reverse_text":"NaN=(⪨⨬(⇑⪆23132↱⇑⪆112412))⨚⇆(⇙⪊⇑⪆122312)⊕∕(⇑⪆13030∺≝⩲⇑⪆32033)⪶≀⋏(⇑⪆43300∌↝⇑⪆23330+⇶⊼(⊬↢⇑⪆121212))↤⩊(↔(⇑⪆110123⇟⨁⪰))","cot":[{"info":"⇑⪆23132↱⇑⪆112412=⇑⪆-334144","layer":3},{"info":"⪨⨬⇑⪆-334144=⇑⪆-4101","layer":2},{"info":"⇙⪊⇑⪆122312=⇑⪆0","layer":3},{"info":"⇑⪆13030∺≝⩲⇑⪆32033=⇑⪆1120","layer":3},{"info":"⇑⪆0⊕∕⇑⪆1120=⇑⪆0","layer":2},{"info":"⇑⪆-4101⨚⇆⇑⪆0=NaN","layer":1},{"info":"⇑⪆43300∌↝⇑⪆23330=⇑⪆0","layer":3},{"info":"⊬↢⇑⪆121212=⇑⪆1333","layer":3},{"info":"⇑⪆0+⇶⊼⇑⪆1333=NaN","layer":2},{"info":"⇑⪆110123⇟⨁⪰=⇑⪆-111322","layer":3},{"info":"↔⇑⪆-111322=⇑⪆-1014","layer":2},{"info":"NaN↤⩊⇑⪆-1014=NaN","layer":1},{"info":"NaN⪶≀⋏NaN=NaN","layer":0}]}
{"id":619,"expression_no_base_symbol":"⫎≠⋺((∤↝$4684$⋕⪉⪜$6862$)⊓⋫)","expression":"⫎≠⋺((∤↝⇑⪆122214⋕⪉⪜⇑⪆204422)⊓⋫)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":65,"operation_count":4,"complexity_ratio":16.25,"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":4684,"base":5},"right_expr":{"type":"numeric_atoms","value":6862,"base":5}}}}},"used_operators":["LYeZOJ0nQG","IqGBaFP0uj","3UMq87Qwqg","z6LnFrNh4i"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"⇑⪆-10314","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4684","layer":4},{"info":"number node, value=6862","layer":4},{"info":"compute binary expreesion, left_input=4684, right_input=6862, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute unary expreesion, input=204, 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=204","layer":2},{"info":"compute unary expreesion, input=204, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-332","layer":1},{"info":"compute unary expreesion, input=-332, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":0}],"base":5,"result_base":5,"text":"⫎≠⋺((∤↝⇑⪆122214⋕⪉⪜⇑⪆204422)⊓⋫)=⇑⪆-10314","reverse_text":"⇑⪆-10314=⫎≠⋺((∤↝⇑⪆122214⋕⪉⪜⇑⪆204422)⊓⋫)","cot":[{"info":"⇑⪆122214⋕⪉⪜⇑⪆204422=⇑⪆1304","layer":3},{"info":"∤↝⇑⪆1304=⇑⪆1304","layer":2},{"info":"⇑⪆1304⊓⋫=⇑⪆-2312","layer":1},{"info":"⫎≠⋺⇑⪆-2312=⇑⪆-10314","layer":0}]}
{"id":620,"expression_no_base_symbol":"≇⪴($1963$⩦$1217$⨥⫆($1188$⇴∐$1399$))⋹⋡⊁((↥≼⋛$5836$)⋛($5335$⨳⩥⨓$4377$))","expression":"≇⪴(⇑⪆30323⩦⇑⪆14332⨥⫆(⇑⪆14223⇴∐⇑⪆21044))⋹⋡⊁((↥≼⋛⇑⪆141321)⋛(⇑⪆132320⨳⩥⨓⇑⪆120002))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":148,"operation_count":8,"complexity_ratio":18.5,"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":1963,"base":5},"right_expr":{"type":"numeric_atoms","value":1217,"base":5}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1188,"base":5},"right_expr":{"type":"numeric_atoms","value":1399,"base":5}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":5836,"base":5}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5335,"base":5},"right_expr":{"type":"numeric_atoms","value":4377,"base":5}}}}},"used_operators":["zoVPnxeHJ3","As8RqfVLgs","yXekIHxTD4","0kmYd0q39Y","HnzytWxmAO","YbUVn0Rbpy","x5lMkHmzsq","nCS4ZIUYfx"],"dependent_operators":["7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1963","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=1963, right_input=1217, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3926","layer":3},{"info":"number node, value=1188","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=1399, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3926, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"number node, value=5836","layer":4},{"info":"compute unary expreesion, input=5836, 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=5335","layer":4},{"info":"number node, value=4377","layer":4},{"info":"compute binary expreesion, left_input=5335, right_input=4377, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-958","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=-958, 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=-2229","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2229, 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 = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"≇⪴(⇑⪆30323⩦⇑⪆14332⨥⫆(⇑⪆14223⇴∐⇑⪆21044))⋹⋡⊁((↥≼⋛⇑⪆141321)⋛(⇑⪆132320⨳⩥⨓⇑⪆120002))=NaN","reverse_text":"NaN=≇⪴(⇑⪆30323⩦⇑⪆14332⨥⫆(⇑⪆14223⇴∐⇑⪆21044))⋹⋡⊁((↥≼⋛⇑⪆141321)⋛(⇑⪆132320⨳⩥⨓⇑⪆120002))","cot":[{"info":"⇑⪆30323⩦⇑⪆14332=⇑⪆111201","layer":3},{"info":"⇑⪆14223⇴∐⇑⪆21044=NaN","layer":3},{"info":"⇑⪆111201⨥⫆NaN=NaN","layer":2},{"info":"↥≼⋛⇑⪆141321=⇑⪆-423","layer":3},{"info":"⇑⪆132320⨳⩥⨓⇑⪆120002=⇑⪆-12313","layer":3},{"info":"⇑⪆-423⋛⇑⪆-12313=⇑⪆-32404","layer":2},{"info":"NaN⋹⋡⊁⇑⪆-32404=NaN","layer":1},{"info":"≇⪴NaN=NaN","layer":0}]}
{"id":621,"expression_no_base_symbol":"(($1230$⪇≇⋚$4100$)∳⫺($2983$⇪⋭))⫗⊷⫓(↘($1161$≣⋋))⇼⇔∾($1361$⨵⪆$2907$)≦↸($3168$⨭⪣$1315$)⩍⋽⫝̸((⨈⪑$1095$)⨵⪆$1087$⇷$3376$)","expression":"((⇑⪆14410⪇≇⋚⇑⪆112400)∳⫺(⇑⪆43413⇪⋭))⫗⊷⫓(↘(⇑⪆14121≣⋋))⇼⇔∾(⇑⪆20421⨵⪆⇑⪆43112)≦↸(⇑⪆100133⨭⪣⇑⪆20230)⩍⋽⫝̸((⨈⪑⇑⪆13340)⨵⪆⇑⪆13322⇷⇑⪆102001)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":103541,"operation_count":14,"complexity_ratio":7395.785714285715,"tree":{"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":5},"right_expr":{"type":"numeric_atoms","value":4100,"base":5}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":2983,"base":5}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1161,"base":5}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1361,"base":5},"right_expr":{"type":"numeric_atoms","value":2907,"base":5}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":3168,"base":5},"right_expr":{"type":"numeric_atoms","value":1315,"base":5}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1095,"base":5}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1087,"base":5},"right_expr":{"type":"numeric_atoms","value":3376,"base":5}}}}},"used_operators":["tifHPKVTfV","zashukvMKz","AzXXKTstlj","3sJ7IOPOlU","Z8Yg6dlDSp","LdNpr8hQHL","Tcnh7f0tEr","BiWNJpBvwn","RygbFNSyEJ","2DQ55sFlQl","kn8WO9XteQ","mp94q5OcYM","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","uFcxV4UQCh","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","Ph9nP6C5qx","xUOZtlo3hN","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⇑⪆-1420","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1230","layer":4},{"info":"number node, value=4100","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=4100, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2983","layer":4},{"info":"compute unary expreesion, input=2983, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, 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=1161","layer":4},{"info":"compute unary expreesion, input=1161, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-260, 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":1},{"info":"number node, value=1361","layer":4},{"info":"number node, value=2907","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=2907, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3168","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=3168, right_input=1315, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1889","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1889, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-3417","layer":2},{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"number node, value=1087","layer":4},{"info":"number node, value=3376","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=3376, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6752","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=6752, 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=-3417, right_input=160, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-369","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-369, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-235","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆14410⪇≇⋚⇑⪆112400)∳⫺(⇑⪆43413⇪⋭))⫗⊷⫓(↘(⇑⪆14121≣⋋))⇼⇔∾(⇑⪆20421⨵⪆⇑⪆43112)≦↸(⇑⪆100133⨭⪣⇑⪆20230)⩍⋽⫝̸((⨈⪑⇑⪆13340)⨵⪆⇑⪆13322⇷⇑⪆102001)=⇑⪆-1420","reverse_text":"⇑⪆-1420=((⇑⪆14410⪇≇⋚⇑⪆112400)∳⫺(⇑⪆43413⇪⋭))⫗⊷⫓(↘(⇑⪆14121≣⋋))⇼⇔∾(⇑⪆20421⨵⪆⇑⪆43112)≦↸(⇑⪆100133⨭⪣⇑⪆20230)⩍⋽⫝̸((⨈⪑⇑⪆13340)⨵⪆⇑⪆13322⇷⇑⪆102001)","cot":[{"info":"⇑⪆14410⪇≇⋚⇑⪆112400=⇑⪆0","layer":3},{"info":"⇑⪆43413⇪⋭=NaN","layer":3},{"info":"⇑⪆0∳⫺NaN=⇑⪆-2020","layer":2},{"info":"⇑⪆14121≣⋋=⇑⪆0","layer":3},{"info":"↘⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆-2020⫗⊷⫓⇑⪆0=⇑⪆-1014","layer":1},{"info":"⇑⪆20421⨵⪆⇑⪆43112=⇑⪆1120","layer":3},{"info":"⇑⪆100133⨭⪣⇑⪆20230=⇑⪆30024","layer":3},{"info":"⇑⪆1120≦↸⇑⪆30024=⇑⪆-102132","layer":2},{"info":"⨈⪑⇑⪆13340=⇑⪆11433","layer":3},{"info":"⇑⪆13322⇷⇑⪆102001=⇑⪆204002","layer":3},{"info":"⇑⪆11433⨵⪆⇑⪆204002=⇑⪆1120","layer":2},{"info":"⇑⪆-102132⩍⋽⫝̸⇑⪆1120=⇑⪆-2434","layer":1},{"info":"⇑⪆-1014⇼⇔∾⇑⪆-2434=⇑⪆-1420","layer":0}]}
{"id":622,"expression_no_base_symbol":"(≯(⊬↢$5155$≝⊿$1364$))⩚⊴⇥(($3282$∟)∳⫺($3400$⪄$1075$)≃($4492$∕⩚$2536$)⩁⩘($2535$⇮⋭$4876$))","expression":"(≯(⊬↢⇑⪆131110≝⊿⇑⪆20424))⩚⊴⇥((⇑⪆101112∟)∳⫺(⇑⪆102100⪄⇑⪆13300)≃(⇑⪆120432∕⩚⇑⪆40121)⩁⩘(⇑⪆40120⇮⋭⇑⪆124001))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7508,"operation_count":11,"complexity_ratio":682.5454545454545,"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":5155,"base":5},"right_expr":{"type":"numeric_atoms","value":1364,"base":5}}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":3282,"base":5}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3400,"base":5},"right_expr":{"type":"numeric_atoms","value":1075,"base":5}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":4492,"base":5},"right_expr":{"type":"numeric_atoms","value":2536,"base":5}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2535,"base":5},"right_expr":{"type":"numeric_atoms","value":4876,"base":5}}}}},"used_operators":["NTOWxs364D","keWfFq85dY","WPoGxAaPR1","OKKcZfAt5B","YbVcJGFEVW","AzXXKTstlj","hTbEZDJLEm","SUmda5xLS4","gub5Cegaqo","z9ffQ9n5Zr","vkpjKywKVM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","g55IO6H4Gj","JLbD19bQDL","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","12rbrZMWeM","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DpFCA1CohY","IWmyXbctLI","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"⇑⪆-110412","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5155","layer":4},{"info":"number node, value=1364","layer":4},{"info":"compute binary expreesion, left_input=5155, right_input=1364, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8416","layer":3},{"info":"compute unary expreesion, input=-8416, 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 unary expreesion, input=-55, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=3282","layer":4},{"info":"compute unary expreesion, input=3282, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"number node, value=3400","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=3400, right_input=1075, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-503589","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-503589, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=4492","layer":4},{"info":"number node, value=2536","layer":4},{"info":"compute binary expreesion, left_input=4492, right_input=2536, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-4495","layer":3},{"info":"number node, value=2535","layer":4},{"info":"number node, value=4876","layer":4},{"info":"compute binary expreesion, left_input=2535, right_input=4876, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-4495, right_input=-473, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-944","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-944, 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=3736","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3736, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3857","layer":0}],"base":5,"result_base":5,"text":"(≯(⊬↢⇑⪆131110≝⊿⇑⪆20424))⩚⊴⇥((⇑⪆101112∟)∳⫺(⇑⪆102100⪄⇑⪆13300)≃(⇑⪆120432∕⩚⇑⪆40121)⩁⩘(⇑⪆40120⇮⋭⇑⪆124001))=⇑⪆-110412","reverse_text":"⇑⪆-110412=(≯(⊬↢⇑⪆131110≝⊿⇑⪆20424))⩚⊴⇥((⇑⪆101112∟)∳⫺(⇑⪆102100⪄⇑⪆13300)≃(⇑⪆120432∕⩚⇑⪆40121)⩁⩘(⇑⪆40120⇮⋭⇑⪆124001))","cot":[{"info":"⇑⪆131110≝⊿⇑⪆20424=⇑⪆-232131","layer":3},{"info":"⊬↢⇑⪆-232131=⇑⪆-210","layer":2},{"info":"≯⇑⪆-210=⇑⪆0","layer":1},{"info":"⇑⪆101112∟=⇑⪆423","layer":3},{"info":"⇑⪆102100⪄⇑⪆13300=⇑⪆-112103324","layer":3},{"info":"⇑⪆423∳⫺⇑⪆-112103324=⇑⪆-2020","layer":2},{"info":"⇑⪆120432∕⩚⇑⪆40121=⇑⪆-120440","layer":3},{"info":"⇑⪆40120⇮⋭⇑⪆124001=⇑⪆-3343","layer":3},{"info":"⇑⪆-120440⩁⩘⇑⪆-3343=⇑⪆-12234","layer":2},{"info":"⇑⪆-2020≃⇑⪆-12234=⇑⪆104421","layer":1},{"info":"⇑⪆0⩚⊴⇥⇑⪆104421=⇑⪆-110412","layer":0}]}
{"id":623,"expression_no_base_symbol":"(($6538$⋭≵$7127$↸$4712$⩒⫫$4208$)⨚⇆$1091$≎⪠$6732$⨿($5617$↹⊜$1804$))⇂≾⫗(($1157$⫸⊐$4778$⇼⇔∾$5237$↺$1045$)≹⇙⪍(⫓⪴(↥≼⋛$6809$)))","expression":"((⇑⪆202123⋭≵⇑⪆212002↸⇑⪆122322⩒⫫⇑⪆113313)⨚⇆⇑⪆13331≎⪠⇑⪆203412⨿(⇑⪆134432↹⊜⇑⪆24204))⇂≾⫗((⇑⪆14112⫸⊐⇑⪆123103⇼⇔∾⇑⪆131422↺⇑⪆13140)≹⇙⪍(⫓⪴(↥≼⋛⇑⪆204214)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20222,"operation_count":14,"complexity_ratio":1444.4285714285713,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":6538,"base":5},"right_expr":{"type":"numeric_atoms","value":7127,"base":5}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":4712,"base":5},"right_expr":{"type":"numeric_atoms","value":4208,"base":5}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1091,"base":5},"right_expr":{"type":"numeric_atoms","value":6732,"base":5}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":5617,"base":5},"right_expr":{"type":"numeric_atoms","value":1804,"base":5}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1157,"base":5},"right_expr":{"type":"numeric_atoms","value":4778,"base":5}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5237,"base":5},"right_expr":{"type":"numeric_atoms","value":1045,"base":5}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":6809,"base":5}}}}},"used_operators":["aBQ6xLxuTc","lwHaAYXP2r","1eCjFl0mb9","jBncVCNhdl","KFSx94NKJn","abYXlopdE0","aNhz54LH3e","9bazX3JMtO","AHs5Up7iyr","tifHPKVTfV","mqXw5SEYmG","7j4O788W3g","eLxqMNBOBk","x5lMkHmzsq"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6538","layer":4},{"info":"number node, value=7127","layer":4},{"info":"compute binary expreesion, left_input=6538, right_input=7127, 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=4712","layer":4},{"info":"number node, value=4208","layer":4},{"info":"compute binary expreesion, left_input=4712, right_input=4208, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4410","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=4410, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=67","layer":2},{"info":"number node, value=1091","layer":4},{"info":"number node, value=6732","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=6732, 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=5617","layer":4},{"info":"number node, value=1804","layer":4},{"info":"compute binary expreesion, left_input=5617, right_input=1804, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=3922","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=3922, 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=67, right_input=-319, 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=1157","layer":4},{"info":"number node, value=4778","layer":4},{"info":"compute binary expreesion, left_input=1157, right_input=4778, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18987","layer":3},{"info":"number node, value=5237","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=5237, right_input=1045, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1045","layer":3},{"info":"compute binary expreesion, left_input=18987, right_input=1045, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-17942","layer":2},{"info":"number node, value=6809","layer":4},{"info":"compute unary expreesion, input=6809, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=12769","layer":2},{"info":"compute binary expreesion, left_input=-17942, right_input=12769, 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 = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆202123⋭≵⇑⪆212002↸⇑⪆122322⩒⫫⇑⪆113313)⨚⇆⇑⪆13331≎⪠⇑⪆203412⨿(⇑⪆134432↹⊜⇑⪆24204))⇂≾⫗((⇑⪆14112⫸⊐⇑⪆123103⇼⇔∾⇑⪆131422↺⇑⪆13140)≹⇙⪍(⫓⪴(↥≼⋛⇑⪆204214)))=NaN","reverse_text":"NaN=((⇑⪆202123⋭≵⇑⪆212002↸⇑⪆122322⩒⫫⇑⪆113313)⨚⇆⇑⪆13331≎⪠⇑⪆203412⨿(⇑⪆134432↹⊜⇑⪆24204))⇂≾⫗((⇑⪆14112⫸⊐⇑⪆123103⇼⇔∾⇑⪆131422↺⇑⪆13140)≹⇙⪍(⫓⪴(↥≼⋛⇑⪆204214)))","cot":[{"info":"⇑⪆202123⋭≵⇑⪆212002=⇑⪆232","layer":3},{"info":"⇑⪆122322⩒⫫⇑⪆113313=⇑⪆120120","layer":3},{"info":"⇑⪆232↸⇑⪆120120=⇑⪆232","layer":2},{"info":"⇑⪆13331≎⪠⇑⪆203412=⇑⪆1111213","layer":3},{"info":"⇑⪆134432↹⊜⇑⪆24204=⇑⪆111142","layer":3},{"info":"⇑⪆1111213⨿⇑⪆111142=⇑⪆-2234","layer":2},{"info":"⇑⪆232⨚⇆⇑⪆-2234=NaN","layer":1},{"info":"⇑⪆14112⫸⊐⇑⪆123103=⇑⪆1101422","layer":3},{"info":"⇑⪆131422↺⇑⪆13140=⇑⪆13140","layer":3},{"info":"⇑⪆1101422⇼⇔∾⇑⪆13140=⇑⪆-1033232","layer":2},{"info":"↥≼⋛⇑⪆204214=⇑⪆-423","layer":3},{"info":"⫓⪴⇑⪆-423=⇑⪆402034","layer":2},{"info":"⇑⪆-1033232≹⇙⪍⇑⪆402034=NaN","layer":1},{"info":"NaN⇂≾⫗NaN=NaN","layer":0}]}
{"id":624,"expression_no_base_symbol":"($4623$⨐$1664$∀⇚≩($5822$⋅⇍$1054$))≦↸($4431$≭$1365$⪒$2032$⇷$5002$)⨐⩸⫘($6732$⩨$1131$⫚↹⊑$5447$⪪$4988$)⪔(⋂($4646$↙$1112$))","expression":"(⇑⪆121443⨐⇑⪆23124∀⇚≩(⇑⪆141242⋅⇍⇑⪆13204))≦↸(⇑⪆120211≭⇑⪆20430⪒⇑⪆31112⇷⇑⪆130002)⨐⩸⫘(⇑⪆203412⩨⇑⪆14011⫚↹⊑⇑⪆133242⪪⇑⪆124423)⪔(⋂(⇑⪆122041↙⇑⪆13422))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":363417,"operation_count":14,"complexity_ratio":25958.35714285714,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4623,"base":5},"right_expr":{"type":"numeric_atoms","value":1664,"base":5}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":5822,"base":5},"right_expr":{"type":"numeric_atoms","value":1054,"base":5}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4431,"base":5},"right_expr":{"type":"numeric_atoms","value":1365,"base":5}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2032,"base":5},"right_expr":{"type":"numeric_atoms","value":5002,"base":5}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6732,"base":5},"right_expr":{"type":"numeric_atoms","value":1131,"base":5}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":5447,"base":5},"right_expr":{"type":"numeric_atoms","value":4988,"base":5}}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4646,"base":5},"right_expr":{"type":"numeric_atoms","value":1112,"base":5}}}}},"used_operators":["fu6greOZ01","RygbFNSyEJ","LRNGc0VcxI","Noe24qw2ks","AdZkA7nFnk","f6k1SAg4EE","rxpJgHHUmx","mp7IySMOzn","GjBEYRfMaF","dfKe02y8D2","2DlMacCsIx","xD69zh8xqp","BUOGQAYlQx","yyfyN0ffXY"],"dependent_operators":["3ViojmjbAp","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","X99M06cbEe","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","FU0Cs4j7VP","JclMnS0uGI","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","tmPS8pqC7x","DpFCA1CohY"],"result":"⇑⪆-3303","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4623","layer":4},{"info":"number node, value=1664","layer":4},{"info":"compute binary expreesion, left_input=4623, right_input=1664, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-9246","layer":3},{"info":"number node, value=5822","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=5822, right_input=1054, 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=-9246, right_input=-22, 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=4431","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=4431, right_input=1365, 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=2032","layer":4},{"info":"number node, value=5002","layer":4},{"info":"compute binary expreesion, left_input=2032, right_input=5002, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10004","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10004, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"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":1},{"info":"number node, value=6732","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=6732, right_input=1131, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=5447","layer":4},{"info":"number node, value=4988","layer":4},{"info":"compute binary expreesion, left_input=5447, right_input=4988, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-818586","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-818586, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=4646","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=4646, right_input=1112, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3336","layer":3},{"info":"compute unary expreesion, input=-3336, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=47300","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=47300, 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 = 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=-453","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆121443⨐⇑⪆23124∀⇚≩(⇑⪆141242⋅⇍⇑⪆13204))≦↸(⇑⪆120211≭⇑⪆20430⪒⇑⪆31112⇷⇑⪆130002)⨐⩸⫘(⇑⪆203412⩨⇑⪆14011⫚↹⊑⇑⪆133242⪪⇑⪆124423)⪔(⋂(⇑⪆122041↙⇑⪆13422))=⇑⪆-3303","reverse_text":"⇑⪆-3303=(⇑⪆121443⨐⇑⪆23124∀⇚≩(⇑⪆141242⋅⇍⇑⪆13204))≦↸(⇑⪆120211≭⇑⪆20430⪒⇑⪆31112⇷⇑⪆130002)⨐⩸⫘(⇑⪆203412⩨⇑⪆14011⫚↹⊑⇑⪆133242⪪⇑⪆124423)⪔(⋂(⇑⪆122041↙⇑⪆13422))","cot":[{"info":"⇑⪆121443⨐⇑⪆23124=⇑⪆-243441","layer":3},{"info":"⇑⪆141242⋅⇍⇑⪆13204=⇑⪆-42","layer":3},{"info":"⇑⪆-243441∀⇚≩⇑⪆-42=NaN","layer":2},{"info":"⇑⪆120211≭⇑⪆20430=NaN","layer":3},{"info":"⇑⪆31112⇷⇑⪆130002=⇑⪆310004","layer":3},{"info":"NaN⪒⇑⪆310004=NaN","layer":2},{"info":"NaN≦↸NaN=NaN","layer":1},{"info":"⇑⪆203412⩨⇑⪆14011=⇑⪆0","layer":3},{"info":"⇑⪆133242⪪⇑⪆124423=⇑⪆-202143321","layer":3},{"info":"⇑⪆0⫚↹⊑⇑⪆-202143321=⇑⪆-3242","layer":2},{"info":"⇑⪆122041↙⇑⪆13422=⇑⪆-101321","layer":3},{"info":"⋂⇑⪆-101321=⇑⪆3003200","layer":2},{"info":"⇑⪆-3242⪔⇑⪆3003200=⇑⪆3300","layer":1},{"info":"NaN⨐⩸⫘⇑⪆3300=⇑⪆-3303","layer":0}]}
{"id":625,"expression_no_base_symbol":"(($6835$≀⩗∶$2795$)∑⇟⊟$3079$⨂≜$7441$)⊱⇼⊻(($3465$⊢)⊹∫⫚$8114$⫣⪄⊒$4188$)⫌⩉⩟(⪛⨧($2377$⨕⋳))⨂≜($5929$∓⋝$1694$∲⫓($2542$∪⫐$3222$))","expression":"((⇑⪆204320≀⩗∶⇑⪆42140)∑⇟⊟⇑⪆44304⨂≜⇑⪆214231)⊱⇼⊻((⇑⪆102330⊢)⊹∫⫚⇑⪆224424⫣⪄⊒⇑⪆113223)⫌⩉⩟(⪛⨧(⇑⪆34002⨕⋳))⨂≜(⇑⪆142204∓⋝⇑⪆23234∲⫓(⇑⪆40132∪⫐⇑⪆100342))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":262948,"operation_count":14,"complexity_ratio":18782.0,"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":6835,"base":5},"right_expr":{"type":"numeric_atoms","value":2795,"base":5}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3079,"base":5},"right_expr":{"type":"numeric_atoms","value":7441,"base":5}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":3465,"base":5}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":8114,"base":5},"right_expr":{"type":"numeric_atoms","value":4188,"base":5}}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":2377,"base":5}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":5929,"base":5},"right_expr":{"type":"numeric_atoms","value":1694,"base":5}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2542,"base":5},"right_expr":{"type":"numeric_atoms","value":3222,"base":5}}}}},"used_operators":["XIIwhv8d0m","FyVja0WsTP","U7g4x0WXJJ","8INZBEW696","k1SHOSEABc","uWAJUKEvyW","40aOVDgCDB","RabNbG55vr","6NJAcO2OWT","4X4GscPmMf","i8ToyICDmI","PoHhknlbAi","7YooWSwCyH"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","NTOWxs364D","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rJVOvQCfKK","2DDjHMKMc0"],"result":"⇑⪆-200","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6835","layer":4},{"info":"number node, value=2795","layer":4},{"info":"compute binary expreesion, left_input=6835, right_input=2795, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=3079","layer":4},{"info":"number node, value=7441","layer":4},{"info":"compute binary expreesion, left_input=3079, right_input=7441, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=3465","layer":4},{"info":"compute unary expreesion, input=3465, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-3712","layer":3},{"info":"number node, value=8114","layer":4},{"info":"number node, value=4188","layer":4},{"info":"compute binary expreesion, left_input=8114, right_input=4188, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-9412","layer":3},{"info":"compute binary expreesion, left_input=-3712, right_input=-9412, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=-28, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":1},{"info":"number node, value=2377","layer":4},{"info":"compute unary expreesion, input=2377, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=128804","layer":3},{"info":"compute unary expreesion, input=128804, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=259009","layer":2},{"info":"number node, value=5929","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=5929, right_input=1694, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=2542","layer":4},{"info":"number node, value=3222","layer":4},{"info":"compute binary expreesion, left_input=2542, right_input=3222, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2542","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=2542, 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=259009, right_input=0, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆204320≀⩗∶⇑⪆42140)∑⇟⊟⇑⪆44304⨂≜⇑⪆214231)⊱⇼⊻((⇑⪆102330⊢)⊹∫⫚⇑⪆224424⫣⪄⊒⇑⪆113223)⫌⩉⩟(⪛⨧(⇑⪆34002⨕⋳))⨂≜(⇑⪆142204∓⋝⇑⪆23234∲⫓(⇑⪆40132∪⫐⇑⪆100342))=⇑⪆-200","reverse_text":"⇑⪆-200=((⇑⪆204320≀⩗∶⇑⪆42140)∑⇟⊟⇑⪆44304⨂≜⇑⪆214231)⊱⇼⊻((⇑⪆102330⊢)⊹∫⫚⇑⪆224424⫣⪄⊒⇑⪆113223)⫌⩉⩟(⪛⨧(⇑⪆34002⨕⋳))⨂≜(⇑⪆142204∓⋝⇑⪆23234∲⫓(⇑⪆40132∪⫐⇑⪆100342))","cot":[{"info":"⇑⪆204320≀⩗∶⇑⪆42140=⇑⪆0","layer":3},{"info":"⇑⪆44304⨂≜⇑⪆214231=NaN","layer":3},{"info":"⇑⪆0∑⇟⊟NaN=NaN","layer":2},{"info":"⇑⪆102330⊢=⇑⪆-104322","layer":3},{"info":"⇑⪆224424⫣⪄⊒⇑⪆113223=⇑⪆-300122","layer":3},{"info":"⇑⪆-104322⊹∫⫚⇑⪆-300122=⇑⪆-103","layer":2},{"info":"NaN⊱⇼⊻⇑⪆-103=NaN","layer":1},{"info":"⇑⪆34002⨕⋳=⇑⪆13110204","layer":3},{"info":"⪛⨧⇑⪆13110204=⇑⪆31242014","layer":2},{"info":"⇑⪆142204∓⋝⇑⪆23234=⇑⪆232","layer":3},{"info":"⇑⪆40132∪⫐⇑⪆100342=⇑⪆40132","layer":3},{"info":"⇑⪆232∲⫓⇑⪆40132=⇑⪆0","layer":2},{"info":"⇑⪆31242014⨂≜⇑⪆0=NaN","layer":1},{"info":"NaN⫌⩉⩟NaN=⇑⪆-200","layer":0}]}
{"id":626,"expression_no_base_symbol":"((⪭⩑⪱(⨙⪌$2584$))∣($1432$⨫⇇↔$1995$⨻⩈⩔$5581$⊲⩕⊾$4538$))⩍⋽⫝̸((($5466$↹⊜$3121$)⫑%∭)↪⪝)","expression":"((⪭⩑⪱(⨙⪌⇑⪆40314))∣(⇑⪆21212⨫⇇↔⇑⪆30440⨻⩈⩔⇑⪆134311⊲⩕⊾⇑⪆121123))⩍⋽⫝̸(((⇑⪆133331↹⊜⇑⪆44441)⫑%∭)↪⪝)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":269281,"operation_count":10,"complexity_ratio":26928.1,"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":2584,"base":5}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1432,"base":5},"right_expr":{"type":"numeric_atoms","value":1995,"base":5}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":5581,"base":5},"right_expr":{"type":"numeric_atoms","value":4538,"base":5}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":5466,"base":5},"right_expr":{"type":"numeric_atoms","value":3121,"base":5}}}}},"used_operators":["BiWNJpBvwn","PPChnnnBFF","SIgE0bArFf","vEGLkm4Z2k","nEsXyWgiOK","LXhwmt4mBO","DmTXOeWf9t","l07mrZUIn9","xUx7qlDO4z","9bazX3JMtO"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2584","layer":4},{"info":"compute unary expreesion, input=2584, 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 = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"number node, value=1432","layer":4},{"info":"number node, value=1995","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=1995, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=5581","layer":4},{"info":"number node, value=4538","layer":4},{"info":"compute binary expreesion, left_input=5581, right_input=4538, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-131306","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=-131306, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=8320752, right_input=-174, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-8319795","layer":1},{"info":"number node, value=5466","layer":4},{"info":"number node, value=3121","layer":4},{"info":"compute binary expreesion, left_input=5466, right_input=3121, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-1648","layer":3},{"info":"compute unary expreesion, input=-1648, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-8319795, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⪭⩑⪱(⨙⪌⇑⪆40314))∣(⇑⪆21212⨫⇇↔⇑⪆30440⨻⩈⩔⇑⪆134311⊲⩕⊾⇑⪆121123))⩍⋽⫝̸(((⇑⪆133331↹⊜⇑⪆44441)⫑%∭)↪⪝)=NaN","reverse_text":"NaN=((⪭⩑⪱(⨙⪌⇑⪆40314))∣(⇑⪆21212⨫⇇↔⇑⪆30440⨻⩈⩔⇑⪆134311⊲⩕⊾⇑⪆121123))⩍⋽⫝̸(((⇑⪆133331↹⊜⇑⪆44441)⫑%∭)↪⪝)","cot":[{"info":"⨙⪌⇑⪆40314=⇑⪆11433","layer":3},{"info":"⪭⩑⪱⇑⪆11433=⇑⪆4112231002","layer":2},{"info":"⇑⪆21212⨫⇇↔⇑⪆30440=⇑⪆-4102","layer":3},{"info":"⇑⪆134311⊲⩕⊾⇑⪆121123=⇑⪆-13200211","layer":3},{"info":"⇑⪆-4102⨻⩈⩔⇑⪆-13200211=⇑⪆-1144","layer":2},{"info":"⇑⪆4112231002∣⇑⪆-1144=⇑⪆-4112213140","layer":1},{"info":"⇑⪆133331↹⊜⇑⪆44441=⇑⪆-23043","layer":3},{"info":"⇑⪆-23043⫑%∭=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"⇑⪆-4112213140⩍⋽⫝̸NaN=NaN","layer":0}]}
{"id":627,"expression_no_base_symbol":"(($4671$≚⊃≕$1805$)≚⊃≕(⨑⩽⪐$8444$))⊢(⇜($3578$∙⊟$2726$))↛⩡⫤","expression":"((⇑⪆122141≚⊃≕⇑⪆24210)≚⊃≕(⨑⩽⪐⇑⪆232234))⊢(⇜(⇑⪆103303∙⊟⇑⪆41401))↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":100882,"operation_count":7,"complexity_ratio":14411.714285714286,"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":4671,"base":5},"right_expr":{"type":"numeric_atoms","value":1805,"base":5}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":8444,"base":5}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3578,"base":5},"right_expr":{"type":"numeric_atoms","value":2726,"base":5}}}}},"used_operators":["FU0Cs4j7VP","5twsqlHp2o","Bmrmz2XGnR","AF7qkfDlqP","lFBm8KRb8F","SxTAKzQCrw"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"⇑⪆-2221114400","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4671","layer":4},{"info":"number node, value=1805","layer":4},{"info":"compute binary expreesion, left_input=4671, right_input=1805, 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=8444","layer":4},{"info":"compute unary expreesion, input=8444, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-8171","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-8171, 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=-16240","layer":2},{"info":"number node, value=3578","layer":4},{"info":"number node, value=2726","layer":4},{"info":"compute binary expreesion, left_input=3578, right_input=2726, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=56360","layer":3},{"info":"compute unary expreesion, input=56360, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-451288","layer":2},{"info":"compute binary expreesion, left_input=-16240, right_input=-451288, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=32236","layer":1},{"info":"compute unary expreesion, input=32236, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-4863725","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆122141≚⊃≕⇑⪆24210)≚⊃≕(⨑⩽⪐⇑⪆232234))⊢(⇜(⇑⪆103303∙⊟⇑⪆41401))↛⩡⫤=⇑⪆-2221114400","reverse_text":"⇑⪆-2221114400=((⇑⪆122141≚⊃≕⇑⪆24210)≚⊃≕(⨑⩽⪐⇑⪆232234))⊢(⇜(⇑⪆103303∙⊟⇑⪆41401))↛⩡⫤","cot":[{"info":"⇑⪆122141≚⊃≕⇑⪆24210=⇑⪆232","layer":3},{"info":"⨑⩽⪐⇑⪆232234=⇑⪆-230141","layer":3},{"info":"⇑⪆232≚⊃≕⇑⪆-230141=⇑⪆-1004430","layer":2},{"info":"⇑⪆103303∙⊟⇑⪆41401=⇑⪆3300420","layer":3},{"info":"⇜⇑⪆3300420=⇑⪆-103420123","layer":2},{"info":"⇑⪆-1004430⊢⇑⪆-103420123=⇑⪆2012421","layer":1},{"info":"⇑⪆2012421↛⩡⫤=⇑⪆-2221114400","layer":0}]}
{"id":628,"expression_no_base_symbol":"($1477$⨚$4910$⇋≉)⨚(($6498$∙⊟$2808$)⩠)⪬∳","expression":"(⇑⪆21402⨚⇑⪆124120⇋≉)⨚((⇑⪆201443∙⊟⇑⪆42213)⩠)⪬∳","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":193574,"operation_count":6,"complexity_ratio":32262.333333333332,"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":1477,"base":5},"right_expr":{"type":"numeric_atoms","value":4910,"base":5}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":6498,"base":5},"right_expr":{"type":"numeric_atoms","value":2808,"base":5}}}}},"used_operators":["O9U3z1385E","nREPSIbpBE","XIabStNQrY","sJAwomhLZr","SxTAKzQCrw"],"dependent_operators":["FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","BjRHVeLaeN","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1477","layer":4},{"info":"number node, value=4910","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=4910, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-15752","layer":3},{"info":"compute unary expreesion, input=-15752, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-31602","layer":2},{"info":"number node, value=6498","layer":4},{"info":"number node, value=2808","layer":4},{"info":"compute binary expreesion, left_input=6498, right_input=2808, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=94320","layer":3},{"info":"compute unary expreesion, input=94320, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-31602, right_input=0, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-62270","layer":1},{"info":"compute unary expreesion, input=-62270, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆21402⨚⇑⪆124120⇋≉)⨚((⇑⪆201443∙⊟⇑⪆42213)⩠)⪬∳=⇑⪆0","reverse_text":"⇑⪆0=(⇑⪆21402⨚⇑⪆124120⇋≉)⨚((⇑⪆201443∙⊟⇑⪆42213)⩠)⪬∳","cot":[{"info":"⇑⪆21402⨚⇑⪆124120=⇑⪆-1001002","layer":3},{"info":"⇑⪆-1001002⇋≉=⇑⪆-2002402","layer":2},{"info":"⇑⪆201443∙⊟⇑⪆42213=⇑⪆11004240","layer":3},{"info":"⇑⪆11004240⩠=⇑⪆0","layer":2},{"info":"⇑⪆-2002402⨚⇑⪆0=⇑⪆-3443040","layer":1},{"info":"⇑⪆-3443040⪬∳=⇑⪆0","layer":0}]}
{"id":629,"expression_no_base_symbol":"(≸≮($1232$⋓$1917$))⫉⨲⊜($1348$⨻⩈⩔$1212$)⇡⇂($5045$⨵⪆$2623$)∝(⨵((↣≠⋷$1487$)∼$1307$≦↸$1225$))","expression":"(≸≮(⇑⪆14412⋓⇑⪆30132))⫉⨲⊜(⇑⪆20343⨻⩈⩔⇑⪆14322)⇡⇂(⇑⪆130140⨵⪆⇑⪆40443)∝(⨵((↣≠⋷⇑⪆21422)∼⇑⪆20212≦↸⇑⪆14400))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":33398,"operation_count":11,"complexity_ratio":3036.181818181818,"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":1232,"base":5},"right_expr":{"type":"numeric_atoms","value":1917,"base":5}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1348,"base":5},"right_expr":{"type":"numeric_atoms","value":1212,"base":5}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5045,"base":5},"right_expr":{"type":"numeric_atoms","value":2623,"base":5}}}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1487,"base":5}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1307,"base":5},"right_expr":{"type":"numeric_atoms","value":1225,"base":5}}}}},"used_operators":["cTDWOvIxvz","WhqkvtTD3t","AljMvE3RRm","T2fj7uvVaJ","UMwdvZNt44","nEsXyWgiOK","2DQ55sFlQl","Tl3Y52tvF8","DyGG3AbaNP","Asc51vEJeQ","RygbFNSyEJ"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","eewbuw0ToL","zVYPLywUTj","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1232","layer":4},{"info":"number node, value=1917","layer":4},{"info":"compute binary expreesion, left_input=1232, right_input=1917, 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 = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=-262","layer":2},{"info":"number node, value=1348","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=1212, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"number node, value=5045","layer":4},{"info":"number node, value=2623","layer":4},{"info":"compute binary expreesion, left_input=5045, right_input=2623, 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=-174, right_input=160, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-171","layer":2},{"info":"compute binary expreesion, left_input=-262, right_input=-171, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-281","layer":1},{"info":"number node, value=1487","layer":4},{"info":"compute unary expreesion, input=1487, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1307","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=1307, right_input=1225, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-4383","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4383, 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 = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-281, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(≸≮(⇑⪆14412⋓⇑⪆30132))⫉⨲⊜(⇑⪆20343⨻⩈⩔⇑⪆14322)⇡⇂(⇑⪆130140⨵⪆⇑⪆40443)∝(⨵((↣≠⋷⇑⪆21422)∼⇑⪆20212≦↸⇑⪆14400))=NaN","reverse_text":"NaN=(≸≮(⇑⪆14412⋓⇑⪆30132))⫉⨲⊜(⇑⪆20343⨻⩈⩔⇑⪆14322)⇡⇂(⇑⪆130140⨵⪆⇑⪆40443)∝(⨵((↣≠⋷⇑⪆21422)∼⇑⪆20212≦↸⇑⪆14400))","cot":[{"info":"⇑⪆14412⋓⇑⪆30132=⇑⪆0","layer":3},{"info":"≸≮⇑⪆0=⇑⪆-2022","layer":2},{"info":"⇑⪆20343⨻⩈⩔⇑⪆14322=⇑⪆-1144","layer":3},{"info":"⇑⪆130140⨵⪆⇑⪆40443=⇑⪆1120","layer":3},{"info":"⇑⪆-1144⇡⇂⇑⪆1120=⇑⪆-1141","layer":2},{"info":"⇑⪆-2022⫉⨲⊜⇑⪆-1141=⇑⪆-2111","layer":1},{"info":"↣≠⋷⇑⪆21422=NaN","layer":3},{"info":"⇑⪆20212≦↸⇑⪆14400=⇑⪆-120013","layer":3},{"info":"NaN∼⇑⪆-120013=NaN","layer":2},{"info":"⨵NaN=NaN","layer":1},{"info":"⇑⪆-2111∝NaN=NaN","layer":0}]}
{"id":630,"expression_no_base_symbol":"⪓⩚(⩒∊(($1207$∠↢$1806$)⇣⩺⋵(⊬↢$4195$)))","expression":"⪓⩚(⩒∊((⇑⪆14312∠↢⇑⪆24211)⇣⩺⋵(⊬↢⇑⪆113240)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7676,"operation_count":5,"complexity_ratio":1535.2,"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":1207,"base":5},"right_expr":{"type":"numeric_atoms","value":1806,"base":5}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":4195,"base":5}}}}},"used_operators":["u0R0Locfp2","qazvmhNBbN","F4yD0voBRQ","KbjG8mgYpV","WPoGxAaPR1"],"dependent_operators":["6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA"],"result":"⇑⪆3201","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1207","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=1806, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-29030","layer":3},{"info":"number node, value=4195","layer":4},{"info":"compute unary expreesion, input=4195, 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=-29030, right_input=218, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-116494","layer":2},{"info":"compute unary expreesion, input=-116494, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-350755","layer":1},{"info":"compute unary expreesion, input=-350755, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":0}],"base":5,"result_base":5,"text":"⪓⩚(⩒∊((⇑⪆14312∠↢⇑⪆24211)⇣⩺⋵(⊬↢⇑⪆113240)))=⇑⪆3201","reverse_text":"⇑⪆3201=⪓⩚(⩒∊((⇑⪆14312∠↢⇑⪆24211)⇣⩺⋵(⊬↢⇑⪆113240)))","cot":[{"info":"⇑⪆14312∠↢⇑⪆24211=⇑⪆-1412110","layer":3},{"info":"⊬↢⇑⪆113240=⇑⪆1333","layer":3},{"info":"⇑⪆-1412110⇣⩺⋵⇑⪆1333=⇑⪆-12211434","layer":2},{"info":"⩒∊⇑⪆-12211434=⇑⪆-42211010","layer":1},{"info":"⪓⩚⇑⪆-42211010=⇑⪆3201","layer":0}]}
{"id":631,"expression_no_base_symbol":"⨈⫕(($7118$⨵⪆$4016$)⋥⋵⩄($6937$≎⊠⪸$1112$))≦↸(⪸($8540$∖$1439$))","expression":"⨈⫕((⇑⪆211433⨵⪆⇑⪆112031)⋥⋵⩄(⇑⪆210222≎⊠⪸⇑⪆13422))≦↸(⪸(⇑⪆233130∖⇑⪆21224))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1033,"operation_count":7,"complexity_ratio":147.57142857142858,"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":7118,"base":5},"right_expr":{"type":"numeric_atoms","value":4016,"base":5}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6937,"base":5},"right_expr":{"type":"numeric_atoms","value":1112,"base":5}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":8540,"base":5},"right_expr":{"type":"numeric_atoms","value":1439,"base":5}}}}},"used_operators":["megm06wKyl","RygbFNSyEJ","7t3wd0Fuz7","2DQ55sFlQl","bJkvcejdHO","86A5ENbKR9","tXD093vOjl"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"⇑⪆-41","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7118","layer":4},{"info":"number node, value=4016","layer":4},{"info":"compute binary expreesion, left_input=7118, right_input=4016, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=6937","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=6937, right_input=1112, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1796210","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1796210, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"number node, value=8540","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=8540, right_input=1439, 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 = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=2273","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=2273, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-4091","layer":1},{"info":"compute unary expreesion, input=-4091, 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":5,"result_base":5,"text":"⨈⫕((⇑⪆211433⨵⪆⇑⪆112031)⋥⋵⩄(⇑⪆210222≎⊠⪸⇑⪆13422))≦↸(⪸(⇑⪆233130∖⇑⪆21224))=⇑⪆-41","reverse_text":"⇑⪆-41=⨈⫕((⇑⪆211433⨵⪆⇑⪆112031)⋥⋵⩄(⇑⪆210222≎⊠⪸⇑⪆13422))≦↸(⪸(⇑⪆233130∖⇑⪆21224))","cot":[{"info":"⇑⪆211433⨵⪆⇑⪆112031=⇑⪆1120","layer":3},{"info":"⇑⪆210222≎⊠⪸⇑⪆13422=⇑⪆424434320","layer":3},{"info":"⇑⪆1120⋥⋵⩄⇑⪆424434320=⇑⪆423","layer":2},{"info":"⇑⪆233130∖⇑⪆21224=⇑⪆0","layer":3},{"info":"⪸⇑⪆0=⇑⪆33043","layer":2},{"info":"⇑⪆423≦↸⇑⪆33043=⇑⪆-112331","layer":1},{"info":"⨈⫕⇑⪆-112331=⇑⪆-41","layer":0}]}
{"id":632,"expression_no_base_symbol":"((⊲⪭$2174$)≨(∂$4570$)⊵↤)⇻⋧≁(($1027$⨿$1301$↸$4503$⨂≜$3001$)⇍⊗($1076$↸$2508$)⪬($3188$⨜⨶$2893$))","expression":"((⊲⪭⇑⪆32144)≨(∂⇑⪆121240)⊵↤)⇻⋧≁((⇑⪆13102⨿⇑⪆20201↸⇑⪆121003⨂≜⇑⪆44001)⇍⊗(⇑⪆13301↸⇑⪆40013)⪬(⇑⪆100223⨜⨶⇑⪆43033))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21414,"operation_count":12,"complexity_ratio":1784.5,"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":2174,"base":5}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4570,"base":5}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1027,"base":5},"right_expr":{"type":"numeric_atoms","value":1301,"base":5}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":4503,"base":5},"right_expr":{"type":"numeric_atoms","value":3001,"base":5}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1076,"base":5},"right_expr":{"type":"numeric_atoms","value":2508,"base":5}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3188,"base":5},"right_expr":{"type":"numeric_atoms","value":2893,"base":5}}}}},"used_operators":["jCPkEVoL5K","7IPrd9c3lf","0KMCeP1Jsh","k7HXdKtiEU","Uaa54Peajs","5uvYHDjeKN","1eCjFl0mb9","abYXlopdE0","k1SHOSEABc","Ez1Nq5fNfI","HiPekx5b7W"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","i8ToyICDmI","xUOZtlo3hN","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⇑⪆-3242","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2174","layer":4},{"info":"compute unary expreesion, input=2174, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-2348","layer":3},{"info":"number node, value=4570","layer":4},{"info":"compute unary expreesion, input=4570, 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=-2348, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=5352","layer":2},{"info":"compute unary expreesion, input=5352, 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=1027","layer":4},{"info":"number node, value=1301","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=1301, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=4503","layer":4},{"info":"number node, value=3001","layer":4},{"info":"compute binary expreesion, left_input=4503, right_input=3001, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-319","layer":2},{"info":"number node, value=1076","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=2508, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1076","layer":3},{"info":"number node, value=3188","layer":4},{"info":"number node, value=2893","layer":4},{"info":"compute binary expreesion, left_input=3188, right_input=2893, 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=-5530","layer":3},{"info":"compute binary expreesion, left_input=1076, right_input=-5530, 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 = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-244, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":0}],"base":5,"result_base":5,"text":"((⊲⪭⇑⪆32144)≨(∂⇑⪆121240)⊵↤)⇻⋧≁((⇑⪆13102⨿⇑⪆20201↸⇑⪆121003⨂≜⇑⪆44001)⇍⊗(⇑⪆13301↸⇑⪆40013)⪬(⇑⪆100223⨜⨶⇑⪆43033))=⇑⪆-3242","reverse_text":"⇑⪆-3242=((⊲⪭⇑⪆32144)≨(∂⇑⪆121240)⊵↤)⇻⋧≁((⇑⪆13102⨿⇑⪆20201↸⇑⪆121003⨂≜⇑⪆44001)⇍⊗(⇑⪆13301↸⇑⪆40013)⪬(⇑⪆100223⨜⨶⇑⪆43033))","cot":[{"info":"⊲⪭⇑⪆32144=⇑⪆-33343","layer":3},{"info":"∂⇑⪆121240=NaN","layer":3},{"info":"⇑⪆-33343≨NaN=⇑⪆132402","layer":2},{"info":"⇑⪆132402⊵↤=⇑⪆232","layer":1},{"info":"⇑⪆13102⨿⇑⪆20201=⇑⪆-2234","layer":3},{"info":"⇑⪆121003⨂≜⇑⪆44001=NaN","layer":3},{"info":"⇑⪆-2234↸NaN=⇑⪆-2234","layer":2},{"info":"⇑⪆13301↸⇑⪆40013=⇑⪆13301","layer":3},{"info":"⇑⪆100223⨜⨶⇑⪆43033=⇑⪆-134110","layer":3},{"info":"⇑⪆13301⪬⇑⪆-134110=⇑⪆14414","layer":2},{"info":"⇑⪆-2234⇍⊗⇑⪆14414=⇑⪆-1434","layer":1},{"info":"⇑⪆232⇻⋧≁⇑⪆-1434=⇑⪆-3242","layer":0}]}
{"id":633,"expression_no_base_symbol":"(($6646$⋾⨃∁$7192$)⫒⫫($5923$⪶≀⋏$3676$))⫯⪬∳($3577$∛$2064$⇣⩺⋵(⪓⩚$3006$))⋻⩜⩜(≘(($6376$⇪⋭)⪍↜⋙($5026$⊹∫⫚$1811$)))","expression":"((⇑⪆203041⋾⨃∁⇑⪆212232)⫒⫫(⇑⪆142143⪶≀⋏⇑⪆104201))⫯⪬∳(⇑⪆103302∛⇑⪆31224⇣⩺⋵(⪓⩚⇑⪆44011))⋻⩜⩜(≘((⇑⪆201001⇪⋭)⪍↜⋙(⇑⪆130101⊹∫⫚⇑⪆24221)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10871,"operation_count":12,"complexity_ratio":905.9166666666666,"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":6646,"base":5},"right_expr":{"type":"numeric_atoms","value":7192,"base":5}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":5923,"base":5},"right_expr":{"type":"numeric_atoms","value":3676,"base":5}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3577,"base":5},"right_expr":{"type":"numeric_atoms","value":2064,"base":5}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":3006,"base":5}}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":6376,"base":5}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":5026,"base":5},"right_expr":{"type":"numeric_atoms","value":1811,"base":5}}}}},"used_operators":["oDCm7WA9JY","d7ASUq0ydm","6Ko8hGgeMq","212REbPD9h","zR4jO40bMj","F4yD0voBRQ","w2537kitQq","u0R0Locfp2","tcjXMdvYtA","L05ObWFQCd","Z8Yg6dlDSp","uWAJUKEvyW"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6646","layer":4},{"info":"number node, value=7192","layer":4},{"info":"compute binary expreesion, left_input=6646, right_input=7192, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=517162242","layer":3},{"info":"number node, value=5923","layer":4},{"info":"number node, value=3676","layer":4},{"info":"compute binary expreesion, left_input=5923, right_input=3676, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-25353","layer":3},{"info":"compute binary expreesion, left_input=517162242, right_input=-25353, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"number node, value=3577","layer":4},{"info":"number node, value=2064","layer":4},{"info":"compute binary expreesion, left_input=3577, right_input=2064, 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=3006","layer":4},{"info":"compute unary expreesion, input=3006, 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=-670, right_input=426, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-3470","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3470, 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=6376","layer":4},{"info":"compute unary expreesion, input=6376, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"number node, value=5026","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=5026, 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":"compute binary expreesion, left_input=nan, right_input=-280, 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 unary expreesion, input=nan, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=nan","layer":1},{"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":0}],"base":5,"result_base":5,"text":"((⇑⪆203041⋾⨃∁⇑⪆212232)⫒⫫(⇑⪆142143⪶≀⋏⇑⪆104201))⫯⪬∳(⇑⪆103302∛⇑⪆31224⇣⩺⋵(⪓⩚⇑⪆44011))⋻⩜⩜(≘((⇑⪆201001⇪⋭)⪍↜⋙(⇑⪆130101⊹∫⫚⇑⪆24221)))=NaN","reverse_text":"NaN=((⇑⪆203041⋾⨃∁⇑⪆212232)⫒⫫(⇑⪆142143⪶≀⋏⇑⪆104201))⫯⪬∳(⇑⪆103302∛⇑⪆31224⇣⩺⋵(⪓⩚⇑⪆44011))⋻⩜⩜(≘((⇑⪆201001⇪⋭)⪍↜⋙(⇑⪆130101⊹∫⫚⇑⪆24221)))","cot":[{"info":"⇑⪆203041⋾⨃∁⇑⪆212232=⇑⪆2024343142432","layer":3},{"info":"⇑⪆142143⪶≀⋏⇑⪆104201=⇑⪆-1302403","layer":3},{"info":"⇑⪆2024343142432⫒⫫⇑⪆-1302403=NaN","layer":2},{"info":"⇑⪆103302∛⇑⪆31224=⇑⪆-10140","layer":3},{"info":"⪓⩚⇑⪆44011=⇑⪆3201","layer":3},{"info":"⇑⪆-10140⇣⩺⋵⇑⪆3201=⇑⪆-102340","layer":2},{"info":"NaN⫯⪬∳⇑⪆-102340=NaN","layer":1},{"info":"⇑⪆201001⇪⋭=NaN","layer":3},{"info":"⇑⪆130101⊹∫⫚⇑⪆24221=⇑⪆-2110","layer":3},{"info":"NaN⪍↜⋙⇑⪆-2110=NaN","layer":2},{"info":"≘NaN=NaN","layer":1},{"info":"NaN⋻⩜⩜NaN=NaN","layer":0}]}
{"id":634,"expression_no_base_symbol":"((∮($2110$∙∹∝$1314$))∝($5263$⩚⊴⇥$1292$)⩖⊿($1233$⊋≦⊧$1858$))≎⪠(($1106$⨰$1232$⩨(⇖$1111$))∴($4827$+⇶⊼$1183$)⇂≾⫗($2342$↙$3233$))","expression":"((∮(⇑⪆31420∙∹∝⇑⪆20224))∝(⇑⪆132023⩚⊴⇥⇑⪆20132)⩖⊿(⇑⪆14413⊋≦⊧⇑⪆24413))≎⪠((⇑⪆13411⨰⇑⪆14412⩨(⇖⇑⪆13421))∴(⇑⪆123302+⇶⊼⇑⪆14213)⇂≾⫗(⇑⪆33332↙⇑⪆100413))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":23000,"operation_count":14,"complexity_ratio":1642.857142857143,"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":2110,"base":5},"right_expr":{"type":"numeric_atoms","value":1314,"base":5}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5263,"base":5},"right_expr":{"type":"numeric_atoms","value":1292,"base":5}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1233,"base":5},"right_expr":{"type":"numeric_atoms","value":1858,"base":5}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1106,"base":5},"right_expr":{"type":"numeric_atoms","value":1232,"base":5}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1111,"base":5}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4827,"base":5},"right_expr":{"type":"numeric_atoms","value":1183,"base":5}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2342,"base":5},"right_expr":{"type":"numeric_atoms","value":3233,"base":5}}}}},"used_operators":["aNhz54LH3e","cTDWOvIxvz","CqXKPLVYql","HmxsFra2vL","RZ5CV9rWsJ","NTOWxs364D","oRDoc9rAEX","hrf7POJlIJ","2DlMacCsIx","eewbuw0ToL","tfWHHpNKUN","aBQ6xLxuTc","TpPTUOHfaN","yyfyN0ffXY"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","7j4O788W3g","W4YGzv6Whe","COABgblf1C","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY"],"result":"⇑⪆1111213","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2110","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=2110, right_input=1314, 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 = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=-238136","layer":2},{"info":"number node, value=5263","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=5263, right_input=1292, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6676","layer":3},{"info":"number node, value=1233","layer":4},{"info":"number node, value=1858","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=1858, 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=-2851","layer":3},{"info":"compute binary expreesion, left_input=-6676, right_input=-2851, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=7616","layer":2},{"info":"compute binary expreesion, left_input=-238136, right_input=7616, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-238131","layer":1},{"info":"number node, value=1106","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=1232, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-116","layer":3},{"info":"number node, value=1111","layer":4},{"info":"compute unary expreesion, input=1111, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-116, right_input=160, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":2},{"info":"number node, value=4827","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=4827, right_input=1183, 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=2342","layer":4},{"info":"number node, value=3233","layer":4},{"info":"compute binary expreesion, left_input=2342, right_input=3233, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9699","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9699, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1660","layer":1},{"info":"compute binary expreesion, left_input=-238131, right_input=1660, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":5,"result_base":5,"text":"((∮(⇑⪆31420∙∹∝⇑⪆20224))∝(⇑⪆132023⩚⊴⇥⇑⪆20132)⩖⊿(⇑⪆14413⊋≦⊧⇑⪆24413))≎⪠((⇑⪆13411⨰⇑⪆14412⩨(⇖⇑⪆13421))∴(⇑⪆123302+⇶⊼⇑⪆14213)⇂≾⫗(⇑⪆33332↙⇑⪆100413))=⇑⪆1111213","reverse_text":"⇑⪆1111213=((∮(⇑⪆31420∙∹∝⇑⪆20224))∝(⇑⪆132023⩚⊴⇥⇑⪆20132)⩖⊿(⇑⪆14413⊋≦⊧⇑⪆24413))≎⪠((⇑⪆13411⨰⇑⪆14412⩨(⇖⇑⪆13421))∴(⇑⪆123302+⇶⊼⇑⪆14213)⇂≾⫗(⇑⪆33332↙⇑⪆100413))","cot":[{"info":"⇑⪆31420∙∹∝⇑⪆20224=⇑⪆0","layer":3},{"info":"∮⇑⪆0=⇑⪆-30110021","layer":2},{"info":"⇑⪆132023⩚⊴⇥⇑⪆20132=⇑⪆-203201","layer":3},{"info":"⇑⪆14413⊋≦⊧⇑⪆24413=⇑⪆-42401","layer":3},{"info":"⇑⪆-203201⩖⊿⇑⪆-42401=⇑⪆220431","layer":2},{"info":"⇑⪆-30110021∝⇑⪆220431=⇑⪆-30110011","layer":1},{"info":"⇑⪆13411⨰⇑⪆14412=⇑⪆-431","layer":3},{"info":"⇖⇑⪆13421=⇑⪆1120","layer":3},{"info":"⇑⪆-431⩨⇑⪆1120=⇑⪆11","layer":2},{"info":"⇑⪆123302+⇶⊼⇑⪆14213=NaN","layer":3},{"info":"⇑⪆33332↙⇑⪆100413=⇑⪆-302244","layer":3},{"info":"NaN⇂≾⫗⇑⪆-302244=NaN","layer":2},{"info":"⇑⪆11∴NaN=⇑⪆23120","layer":1},{"info":"⇑⪆-30110011≎⪠⇑⪆23120=⇑⪆1111213","layer":0}]}
{"id":635,"expression_no_base_symbol":"(((⫇$1831$)↱$1495$⨚⇆$1597$)∴≳≥)∸","expression":"(((⫇⇑⪆24311)↱⇑⪆21440⨚⇆⇑⪆22342)∴≳≥)∸","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10741,"operation_count":5,"complexity_ratio":2148.2,"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":1831,"base":5}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1495,"base":5},"right_expr":{"type":"numeric_atoms","value":1597,"base":5}}}}},"used_operators":["o20kRiQErp","a3N2hFLK0J","SR5kFfdi6N","YjI8oCXuph","lwHaAYXP2r"],"dependent_operators":["tmPS8pqC7x","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"⇑⪆1202","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1831","layer":4},{"info":"compute unary expreesion, input=1831, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-2448","layer":3},{"info":"number node, value=1495","layer":4},{"info":"number node, value=1597","layer":4},{"info":"compute binary expreesion, left_input=1495, right_input=1597, 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=-2448, 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 = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":5,"result_base":5,"text":"(((⫇⇑⪆24311)↱⇑⪆21440⨚⇆⇑⪆22342)∴≳≥)∸=⇑⪆1202","reverse_text":"⇑⪆1202=(((⫇⇑⪆24311)↱⇑⪆21440⨚⇆⇑⪆22342)∴≳≥)∸","cot":[{"info":"⫇⇑⪆24311=⇑⪆-34243","layer":3},{"info":"⇑⪆21440⨚⇆⇑⪆22342=NaN","layer":3},{"info":"⇑⪆-34243↱NaN=NaN","layer":2},{"info":"NaN∴≳≥=NaN","layer":1},{"info":"NaN∸=⇑⪆1202","layer":0}]}
{"id":636,"expression_no_base_symbol":"((($2585$⨭⪣$6101$)↠)⩹$2526$∺≝⩲$3179$⋳⪒$3846$≧⫂∧$2719$)∼(⩰($5464$⪡$5377$)⋥⋵⩄(⫖→$1204$))","expression":"(((⇑⪆40320⨭⪣⇑⪆143401)↠)⩹⇑⪆40101∺≝⩲⇑⪆100204⋳⪒⇑⪆110341≧⫂∧⇑⪆41334)∼(⩰(⇑⪆133324⪡⇑⪆133002)⋥⋵⩄(⫖→⇑⪆14304))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1574,"operation_count":11,"complexity_ratio":143.0909090909091,"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":2585,"base":5},"right_expr":{"type":"numeric_atoms","value":6101,"base":5}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2526,"base":5},"right_expr":{"type":"numeric_atoms","value":3179,"base":5}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3846,"base":5},"right_expr":{"type":"numeric_atoms","value":2719,"base":5}}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":5464,"base":5},"right_expr":{"type":"numeric_atoms","value":5377,"base":5}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1204,"base":5}}}}},"used_operators":["DyGG3AbaNP","2Wsdkap16l","LBdsKIvxzf","kn8WO9XteQ","12rbrZMWeM","KPf6cnQVty","Ph9nP6C5qx","WkeUrDK8WX","7t3wd0Fuz7","oraRL2iQuh","U4ylXWHChL"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2585","layer":4},{"info":"number node, value=6101","layer":4},{"info":"compute binary expreesion, left_input=2585, right_input=6101, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1306","layer":3},{"info":"compute unary expreesion, input=1306, 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=2526","layer":4},{"info":"number node, value=3179","layer":4},{"info":"compute binary expreesion, left_input=2526, right_input=3179, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=3846","layer":4},{"info":"number node, value=2719","layer":4},{"info":"compute binary expreesion, left_input=3846, right_input=2719, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2246","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2246, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2213","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-2213, 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=-2215","layer":1},{"info":"number node, value=5464","layer":4},{"info":"number node, value=5377","layer":4},{"info":"compute binary expreesion, left_input=5464, right_input=5377, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1204","layer":4},{"info":"compute unary expreesion, input=1204, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=177, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-1113","layer":1},{"info":"compute binary expreesion, left_input=-2215, right_input=-1113, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆40320⨭⪣⇑⪆143401)↠)⩹⇑⪆40101∺≝⩲⇑⪆100204⋳⪒⇑⪆110341≧⫂∧⇑⪆41334)∼(⩰(⇑⪆133324⪡⇑⪆133002)⋥⋵⩄(⫖→⇑⪆14304))=NaN","reverse_text":"NaN=(((⇑⪆40320⨭⪣⇑⪆143401)↠)⩹⇑⪆40101∺≝⩲⇑⪆100204⋳⪒⇑⪆110341≧⫂∧⇑⪆41334)∼(⩰(⇑⪆133324⪡⇑⪆133002)⋥⋵⩄(⫖→⇑⪆14304))","cot":[{"info":"⇑⪆40320⨭⪣⇑⪆143401=⇑⪆20211","layer":3},{"info":"⇑⪆20211↠=⇑⪆-3242","layer":2},{"info":"⇑⪆40101∺≝⩲⇑⪆100204=⇑⪆1120","layer":3},{"info":"⇑⪆110341≧⫂∧⇑⪆41334=⇑⪆32441","layer":3},{"info":"⇑⪆1120⋳⪒⇑⪆32441=⇑⪆-32323","layer":2},{"info":"⇑⪆-3242⩹⇑⪆-32323=⇑⪆-32330","layer":1},{"info":"⇑⪆133324⪡⇑⪆133002=⇑⪆412","layer":3},{"info":"⫖→⇑⪆14304=⇑⪆1202","layer":3},{"info":"⇑⪆412⋥⋵⩄⇑⪆1202=⇑⪆423","layer":2},{"info":"⩰⇑⪆423=⇑⪆-13423","layer":1},{"info":"⇑⪆-32330∼⇑⪆-13423=NaN","layer":0}]}
{"id":637,"expression_no_base_symbol":"⪸($1216$⪛$3211$⨚⇆($2548$⇮⋭$5682$))∘($6787$⩌⋺$3644$⨑≵⋬(∨∊⋏$1423$))","expression":"⪸(⇑⪆14331⪛⇑⪆100321⨚⇆(⇑⪆40143⇮⋭⇑⪆140212))∘(⇑⪆204122⩌⋺⇑⪆104034⨑≵⋬(∨∊⋏⇑⪆21143))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8714,"operation_count":8,"complexity_ratio":1089.25,"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":1216,"base":5},"right_expr":{"type":"numeric_atoms","value":3211,"base":5}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2548,"base":5},"right_expr":{"type":"numeric_atoms","value":5682,"base":5}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":6787,"base":5},"right_expr":{"type":"numeric_atoms","value":3644,"base":5}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1423,"base":5}}}}},"used_operators":["86A5ENbKR9","Z5m6OM72h2","lwHaAYXP2r","uFcxV4UQCh","vkpjKywKVM","XnXgA4xnOs","g7Hmc5v1ko","R5aXW34M0v"],"dependent_operators":["Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1216","layer":4},{"info":"number node, value=3211","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=3211, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1216","layer":3},{"info":"number node, value=2548","layer":4},{"info":"number node, value=5682","layer":4},{"info":"compute binary expreesion, left_input=2548, right_input=5682, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=1216, 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=6787","layer":4},{"info":"number node, value=3644","layer":4},{"info":"compute binary expreesion, left_input=6787, right_input=3644, 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=-10552","layer":3},{"info":"number node, value=1423","layer":4},{"info":"compute unary expreesion, input=1423, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=20951","layer":3},{"info":"compute binary expreesion, left_input=-10552, right_input=20951, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-198038","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-198038, 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 = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⪸(⇑⪆14331⪛⇑⪆100321⨚⇆(⇑⪆40143⇮⋭⇑⪆140212))∘(⇑⪆204122⩌⋺⇑⪆104034⨑≵⋬(∨∊⋏⇑⪆21143))=NaN","reverse_text":"NaN=⪸(⇑⪆14331⪛⇑⪆100321⨚⇆(⇑⪆40143⇮⋭⇑⪆140212))∘(⇑⪆204122⩌⋺⇑⪆104034⨑≵⋬(∨∊⋏⇑⪆21143))","cot":[{"info":"⇑⪆14331⪛⇑⪆100321=⇑⪆14331","layer":3},{"info":"⇑⪆40143⇮⋭⇑⪆140212=⇑⪆-3343","layer":3},{"info":"⇑⪆14331⨚⇆⇑⪆-3343=NaN","layer":2},{"info":"⇑⪆204122⩌⋺⇑⪆104034=⇑⪆-314202","layer":3},{"info":"∨∊⋏⇑⪆21143=⇑⪆1132301","layer":3},{"info":"⇑⪆-314202⨑≵⋬⇑⪆1132301=⇑⪆-22314123","layer":2},{"info":"NaN∘⇑⪆-22314123=NaN","layer":1},{"info":"⪸NaN=NaN","layer":0}]}
{"id":638,"expression_no_base_symbol":"(($1396$⨵⪆$1056$)⨿($1481$⩣⫁∢$2100$)∝(($1382$∌↝$2312$)⨲))∛((⫯(⊢≑≆$3552$))↱($6414$+$2355$)≚⊃≕($6046$⪕$1310$))","expression":"((⇑⪆21041⨵⪆⇑⪆13211)⨿(⇑⪆21411⩣⫁∢⇑⪆31400)∝((⇑⪆21012∌↝⇑⪆33222)⨲))∛((⫯(⊢≑≆⇑⪆103202))↱(⇑⪆201124+⇑⪆33410)≚⊃≕(⇑⪆143141⪕⇑⪆20220))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5562,"operation_count":13,"complexity_ratio":427.84615384615387,"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":1396,"base":5},"right_expr":{"type":"numeric_atoms","value":1056,"base":5}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1481,"base":5},"right_expr":{"type":"numeric_atoms","value":2100,"base":5}}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1382,"base":5},"right_expr":{"type":"numeric_atoms","value":2312,"base":5}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":3552,"base":5}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6414,"base":5},"right_expr":{"type":"numeric_atoms","value":2355,"base":5}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":6046,"base":5},"right_expr":{"type":"numeric_atoms","value":1310,"base":5}}}}},"used_operators":["w2537kitQq","cTDWOvIxvz","abYXlopdE0","2DQ55sFlQl","JDUIKTTSIa","nLYMGWM7L8","9Isq31Ruls","SR5kFfdi6N","H6BK1Evt7c","27wFxooxGf","Bmrmz2XGnR","W4YGzv6Whe","umQnsF7QlU"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","7j4O788W3g","W4YGzv6Whe","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⇑⪆-10201","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1396","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=1056, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1481","layer":4},{"info":"number node, value=2100","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=2100, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2801","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2801, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"number node, value=1382","layer":4},{"info":"number node, value=2312","layer":4},{"info":"compute binary expreesion, left_input=1382, right_input=2312, 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 = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4603741","layer":2},{"info":"compute binary expreesion, left_input=-319, right_input=4603741, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-314","layer":1},{"info":"number node, value=3552","layer":4},{"info":"compute unary expreesion, input=3552, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=14660","layer":3},{"info":"compute unary expreesion, input=14660, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-600932","layer":2},{"info":"number node, value=6414","layer":4},{"info":"number node, value=2355","layer":4},{"info":"compute binary expreesion, left_input=6414, right_input=2355, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8769","layer":3},{"info":"number node, value=6046","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=6046, right_input=1310, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=11683","layer":3},{"info":"compute binary expreesion, left_input=8769, right_input=11683, 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=-600932, 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":1},{"info":"compute binary expreesion, left_input=-314, right_input=16072, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆21041⨵⪆⇑⪆13211)⨿(⇑⪆21411⩣⫁∢⇑⪆31400)∝((⇑⪆21012∌↝⇑⪆33222)⨲))∛((⫯(⊢≑≆⇑⪆103202))↱(⇑⪆201124+⇑⪆33410)≚⊃≕(⇑⪆143141⪕⇑⪆20220))=⇑⪆-10201","reverse_text":"⇑⪆-10201=((⇑⪆21041⨵⪆⇑⪆13211)⨿(⇑⪆21411⩣⫁∢⇑⪆31400)∝((⇑⪆21012∌↝⇑⪆33222)⨲))∛((⫯(⊢≑≆⇑⪆103202))↱(⇑⪆201124+⇑⪆33410)≚⊃≕(⇑⪆143141⪕⇑⪆20220))","cot":[{"info":"⇑⪆21041⨵⪆⇑⪆13211=⇑⪆1120","layer":3},{"info":"⇑⪆21411⩣⫁∢⇑⪆31400=⇑⪆-42201","layer":3},{"info":"⇑⪆1120⨿⇑⪆-42201=⇑⪆-2234","layer":2},{"info":"⇑⪆21012∌↝⇑⪆33222=⇑⪆0","layer":3},{"info":"⇑⪆0⨲=⇑⪆2134304431","layer":2},{"info":"⇑⪆-2234∝⇑⪆2134304431=⇑⪆-2224","layer":1},{"info":"⊢≑≆⇑⪆103202=⇑⪆432120","layer":3},{"info":"⫯⇑⪆432120=⇑⪆-123212212","layer":2},{"info":"⇑⪆201124+⇑⪆33410=⇑⪆240034","layer":3},{"info":"⇑⪆143141⪕⇑⪆20220=⇑⪆333213","layer":3},{"info":"⇑⪆240034≚⊃≕⇑⪆333213=⇑⪆232","layer":2},{"info":"⇑⪆-123212212↱⇑⪆232=⇑⪆1003242","layer":1},{"info":"⇑⪆-2224∛⇑⪆1003242=⇑⪆-10201","layer":0}]}
{"id":639,"expression_no_base_symbol":"((($3267$⨟⋌⩍$2044$)⇪⋭)⩚⊴⇥($2209$⨻⩈⩔$2723$)⪬($2635$⇯⋐))⫁⪎(($3427$↓$3340$)∳⫺($2211$∘$1143$)↸($1370$⨭⪣$6195$)⊨($1812$⫳≱↱$1078$))","expression":"(((⇑⪆101032⨟⋌⩍⇑⪆31134)⇪⋭)⩚⊴⇥(⇑⪆32314⨻⩈⩔⇑⪆41343)⪬(⇑⪆41020⇯⋐))⫁⪎((⇑⪆102202↓⇑⪆101330)∳⫺(⇑⪆32321∘⇑⪆14033)↸(⇑⪆20440⨭⪣⇑⪆144240)⊨(⇑⪆24222⫳≱↱⇑⪆13303))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":48365,"operation_count":14,"complexity_ratio":3454.6428571428573,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3267,"base":5},"right_expr":{"type":"numeric_atoms","value":2044,"base":5}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2209,"base":5},"right_expr":{"type":"numeric_atoms","value":2723,"base":5}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":2635,"base":5}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3427,"base":5},"right_expr":{"type":"numeric_atoms","value":3340,"base":5}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2211,"base":5},"right_expr":{"type":"numeric_atoms","value":1143,"base":5}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1370,"base":5},"right_expr":{"type":"numeric_atoms","value":6195,"base":5}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1812,"base":5},"right_expr":{"type":"numeric_atoms","value":1078,"base":5}}}}},"used_operators":["xRrnTEsQ6j","NTOWxs364D","Z8Yg6dlDSp","rGHVDoGpnC","Ez1Nq5fNfI","nEsXyWgiOK","LkLIoiE525","1eCjFl0mb9","AzXXKTstlj","Af076pWI7l","Z5m6OM72h2","vg4gO5BX6G","kn8WO9XteQ","ZvLB05nZmT"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","Tcnh7f0tEr","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","eH2TOUuTDT","rysDP5nf3Z","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3267","layer":4},{"info":"number node, value=2044","layer":4},{"info":"compute binary expreesion, left_input=3267, right_input=2044, 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 = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":2},{"info":"number node, value=2209","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=2209, right_input=2723, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=9271","layer":3},{"info":"number node, value=2635","layer":4},{"info":"compute unary expreesion, input=2635, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=8783","layer":3},{"info":"compute binary expreesion, left_input=9271, right_input=8783, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=3427","layer":4},{"info":"number node, value=3340","layer":4},{"info":"compute binary expreesion, left_input=3427, right_input=3340, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=2211","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=2211, right_input=1143, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=4422","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=4422, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-9318","layer":2},{"info":"number node, value=1370","layer":4},{"info":"number node, value=6195","layer":4},{"info":"compute binary expreesion, left_input=1370, right_input=6195, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=91","layer":3},{"info":"number node, value=1812","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=1812, right_input=1078, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=91, right_input=-204, 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=-9318, right_input=-174, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-9318","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-9318, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆101032⨟⋌⩍⇑⪆31134)⇪⋭)⩚⊴⇥(⇑⪆32314⨻⩈⩔⇑⪆41343)⪬(⇑⪆41020⇯⋐))⫁⪎((⇑⪆102202↓⇑⪆101330)∳⫺(⇑⪆32321∘⇑⪆14033)↸(⇑⪆20440⨭⪣⇑⪆144240)⊨(⇑⪆24222⫳≱↱⇑⪆13303))=NaN","reverse_text":"NaN=(((⇑⪆101032⨟⋌⩍⇑⪆31134)⇪⋭)⩚⊴⇥(⇑⪆32314⨻⩈⩔⇑⪆41343)⪬(⇑⪆41020⇯⋐))⫁⪎((⇑⪆102202↓⇑⪆101330)∳⫺(⇑⪆32321∘⇑⪆14033)↸(⇑⪆20440⨭⪣⇑⪆144240)⊨(⇑⪆24222⫳≱↱⇑⪆13303))","cot":[{"info":"⇑⪆101032⨟⋌⩍⇑⪆31134=NaN","layer":3},{"info":"NaN⇪⋭=NaN","layer":2},{"info":"⇑⪆32314⨻⩈⩔⇑⪆41343=⇑⪆244041","layer":3},{"info":"⇑⪆41020⇯⋐=⇑⪆240113","layer":3},{"info":"⇑⪆244041⪬⇑⪆240113=⇑⪆14414","layer":2},{"info":"NaN⩚⊴⇥⇑⪆14414=NaN","layer":1},{"info":"⇑⪆102202↓⇑⪆101330=⇑⪆-1014","layer":3},{"info":"⇑⪆32321∘⇑⪆14033=⇑⪆120142","layer":3},{"info":"⇑⪆-1014∳⫺⇑⪆120142=⇑⪆-244233","layer":2},{"info":"⇑⪆20440⨭⪣⇑⪆144240=⇑⪆331","layer":3},{"info":"⇑⪆24222⫳≱↱⇑⪆13303=⇑⪆-1304","layer":3},{"info":"⇑⪆331⊨⇑⪆-1304=⇑⪆-1144","layer":2},{"info":"⇑⪆-244233↸⇑⪆-1144=⇑⪆-244233","layer":1},{"info":"NaN⫁⪎⇑⪆-244233=NaN","layer":0}]}
{"id":640,"expression_no_base_symbol":"(⋠∜((⫖→$3651$)∌↝($1922$⨀⨒)))∳⫺(($4292$*$1089$)⨰($4539$⨶))⨸(≋($2372$⨔≚≋$2318$))","expression":"(⋠∜((⫖→⇑⪆104101)∌↝(⇑⪆30142⨀⨒)))∳⫺((⇑⪆114132*⇑⪆13324)⨰(⇑⪆121124⨶))⨸(≋(⇑⪆33442⨔≚≋⇑⪆33233))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5261,"operation_count":11,"complexity_ratio":478.27272727272725,"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":3651,"base":5}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":1922,"base":5}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4292,"base":5},"right_expr":{"type":"numeric_atoms","value":1089,"base":5}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":4539,"base":5}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2372,"base":5},"right_expr":{"type":"numeric_atoms","value":2318,"base":5}}}}},"used_operators":["AzXXKTstlj","ZJpFhNJr3x","9Isq31Ruls","U4ylXWHChL","j6NVkjMzuk","KmoU8R5UQR","eewbuw0ToL","9HNa5Wba9A","rFxw8gIMmB","61wBmkZwlr","Z57zeUYC9z"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","f6k1SAg4EE","Qy55tPpLXF","7j4O788W3g","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"⇑⪆-2020","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3651","layer":4},{"info":"compute unary expreesion, input=3651, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"number node, value=1922","layer":4},{"info":"compute unary expreesion, input=1922, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=23640","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=23640, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-70920","layer":2},{"info":"compute unary expreesion, input=-70920, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=-281396","layer":1},{"info":"number node, value=4292","layer":4},{"info":"number node, value=1089","layer":4},{"info":"compute binary expreesion, left_input=4292, right_input=1089, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4673988","layer":3},{"info":"number node, value=4539","layer":4},{"info":"compute unary expreesion, input=4539, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=7332","layer":3},{"info":"compute binary expreesion, left_input=4673988, right_input=7332, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4666666","layer":2},{"info":"number node, value=2372","layer":4},{"info":"number node, value=2318","layer":4},{"info":"compute binary expreesion, left_input=2372, right_input=2318, 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 = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=4666666, right_input=9872, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-281396, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":5,"result_base":5,"text":"(⋠∜((⫖→⇑⪆104101)∌↝(⇑⪆30142⨀⨒)))∳⫺((⇑⪆114132*⇑⪆13324)⨰(⇑⪆121124⨶))⨸(≋(⇑⪆33442⨔≚≋⇑⪆33233))=⇑⪆-2020","reverse_text":"⇑⪆-2020=(⋠∜((⫖→⇑⪆104101)∌↝(⇑⪆30142⨀⨒)))∳⫺((⇑⪆114132*⇑⪆13324)⨰(⇑⪆121124⨶))⨸(≋(⇑⪆33442⨔≚≋⇑⪆33233))","cot":[{"info":"⫖→⇑⪆104101=⇑⪆1202","layer":3},{"info":"⇑⪆30142⨀⨒=⇑⪆1224030","layer":3},{"info":"⇑⪆1202∌↝⇑⪆1224030=⇑⪆-4232140","layer":2},{"info":"⋠∜⇑⪆-4232140=⇑⪆-33001041","layer":1},{"info":"⇑⪆114132*⇑⪆13324=⇑⪆2144031423","layer":3},{"info":"⇑⪆121124⨶=⇑⪆213312","layer":3},{"info":"⇑⪆2144031423⨰⇑⪆213312=⇑⪆2143313131","layer":2},{"info":"⇑⪆33442⨔≚≋⇑⪆33233=⇑⪆303442","layer":3},{"info":"≋⇑⪆303442=⇑⪆303442","layer":2},{"info":"⇑⪆2143313131⨸⇑⪆303442=NaN","layer":1},{"info":"⇑⪆-33001041∳⫺NaN=⇑⪆-2020","layer":0}]}
{"id":641,"expression_no_base_symbol":"((($4931$⋷$3728$)∝$3733$∘$2307$)∝(∓($3918$⇴∐$1064$)))≭(⫟$1149$≁↽≥$1314$⨼⩣($8185$⊍))","expression":"(((⇑⪆124211⋷⇑⪆104403)∝⇑⪆104413∘⇑⪆33212)∝(∓(⇑⪆111133⇴∐⇑⪆13224)))≭(⫟⇑⪆14044≁↽≥⇑⪆20224⨼⩣(⇑⪆230220⊍))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":561,"operation_count":11,"complexity_ratio":51.0,"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":4931,"base":5},"right_expr":{"type":"numeric_atoms","value":3728,"base":5}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3733,"base":5},"right_expr":{"type":"numeric_atoms","value":2307,"base":5}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3918,"base":5},"right_expr":{"type":"numeric_atoms","value":1064,"base":5}}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1149,"base":5},"right_expr":{"type":"numeric_atoms","value":1314,"base":5}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":8185,"base":5}}}}},"used_operators":["rxpJgHHUmx","cTDWOvIxvz","23Mk6UjR3U","Z5m6OM72h2","OwUj7dcsQK","HnzytWxmAO","z4E1FaHLuy","JxwMv5le6e","ncHt1X6cMc","3nqY3DE9mg"],"dependent_operators":["AHs5Up7iyr","7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","oWn0xqSxBt","3Oe9XWJUTD","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4931","layer":4},{"info":"number node, value=3728","layer":4},{"info":"compute binary expreesion, left_input=4931, right_input=3728, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2525","layer":3},{"info":"number node, value=3733","layer":4},{"info":"number node, value=2307","layer":4},{"info":"compute binary expreesion, left_input=3733, right_input=2307, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=7466","layer":3},{"info":"compute binary expreesion, left_input=2525, right_input=7466, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2530","layer":2},{"info":"number node, value=3918","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=3918, right_input=1064, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', 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=2530, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"number node, value=1149","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=1314, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=22153","layer":3},{"info":"number node, value=8185","layer":4},{"info":"compute unary expreesion, input=8185, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=22875","layer":3},{"info":"compute binary expreesion, left_input=22153, right_input=22875, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"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":1},{"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":0}],"base":5,"result_base":5,"text":"(((⇑⪆124211⋷⇑⪆104403)∝⇑⪆104413∘⇑⪆33212)∝(∓(⇑⪆111133⇴∐⇑⪆13224)))≭(⫟⇑⪆14044≁↽≥⇑⪆20224⨼⩣(⇑⪆230220⊍))=NaN","reverse_text":"NaN=(((⇑⪆124211⋷⇑⪆104403)∝⇑⪆104413∘⇑⪆33212)∝(∓(⇑⪆111133⇴∐⇑⪆13224)))≭(⫟⇑⪆14044≁↽≥⇑⪆20224⨼⩣(⇑⪆230220⊍))","cot":[{"info":"⇑⪆124211⋷⇑⪆104403=⇑⪆40100","layer":3},{"info":"⇑⪆104413∘⇑⪆33212=⇑⪆214331","layer":3},{"info":"⇑⪆40100∝⇑⪆214331=⇑⪆40110","layer":2},{"info":"⇑⪆111133⇴∐⇑⪆13224=NaN","layer":3},{"info":"∓NaN=NaN","layer":2},{"info":"⇑⪆40110∝NaN=NaN","layer":1},{"info":"⇑⪆14044≁↽≥⇑⪆20224=⇑⪆1202103","layer":3},{"info":"⇑⪆230220⊍=⇑⪆1213000","layer":3},{"info":"⇑⪆1202103⨼⩣⇑⪆1213000=NaN","layer":2},{"info":"⫟NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":642,"expression_no_base_symbol":"((↯⪼$1282$)⫗⊷⫓($4642$⨔≚≋$2991$)⨑⩅≇(($2792$≧⫂∧$2407$)⨐($7248$%$2429$)))≌(($6114$⨳⩥⨓$2145$)↼⊘⨖($3066$⇼⇔∾$1283$))↞⋁(($1053$⩠)⫁$2720$⨿$1194$)","expression":"((↯⪼⇑⪆20112)⫗⊷⫓(⇑⪆122032⨔≚≋⇑⪆43431)⨑⩅≇((⇑⪆42132≧⫂∧⇑⪆34112)⨐(⇑⪆212443%⇑⪆34204)))≌((⇑⪆143424⨳⩥⨓⇑⪆32040)↼⊘⨖(⇑⪆44231⇼⇔∾⇑⪆20113))↞⋁((⇑⪆13203⩠)⫁⇑⪆41340⨿⇑⪆14234)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":2858,"operation_count":15,"complexity_ratio":190.53333333333333,"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":1282,"base":5}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":4642,"base":5},"right_expr":{"type":"numeric_atoms","value":2991,"base":5}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2792,"base":5},"right_expr":{"type":"numeric_atoms","value":2407,"base":5}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7248,"base":5},"right_expr":{"type":"numeric_atoms","value":2429,"base":5}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6114,"base":5},"right_expr":{"type":"numeric_atoms","value":2145,"base":5}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3066,"base":5},"right_expr":{"type":"numeric_atoms","value":1283,"base":5}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1053,"base":5}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2720,"base":5},"right_expr":{"type":"numeric_atoms","value":1194,"base":5}}}}},"used_operators":["lyWz822IDG","h92wMvzauj","zashukvMKz","8jW3W4yZS5","Z57zeUYC9z","Noe24qw2ks","Ph9nP6C5qx","k8jYdgA6NY","RqrPlJkxDo","bPywburJMS","nCS4ZIUYfx","tifHPKVTfV","0ajvFaJAv0","sJAwomhLZr","abYXlopdE0"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1282","layer":4},{"info":"compute unary expreesion, input=1282, 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=4642","layer":4},{"info":"number node, value=2991","layer":4},{"info":"compute binary expreesion, left_input=4642, right_input=2991, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=9872, 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=2792","layer":4},{"info":"number node, value=2407","layer":4},{"info":"compute binary expreesion, left_input=2792, right_input=2407, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1934","layer":3},{"info":"number node, value=7248","layer":4},{"info":"number node, value=2429","layer":4},{"info":"compute binary expreesion, left_input=7248, right_input=2429, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2390","layer":3},{"info":"compute binary expreesion, left_input=1934, right_input=2390, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3868","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-3868, 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=6456","layer":1},{"info":"number node, value=6114","layer":4},{"info":"number node, value=2145","layer":4},{"info":"compute binary expreesion, left_input=6114, right_input=2145, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3969","layer":3},{"info":"number node, value=3066","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=3066, right_input=1283, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1783","layer":3},{"info":"compute binary expreesion, left_input=-3969, right_input=-1783, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-3788","layer":2},{"info":"number node, value=1053","layer":4},{"info":"compute unary expreesion, input=1053, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=2720","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=2720, right_input=1194, 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 = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-3788, right_input=160, 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=6456, 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":5,"result_base":5,"text":"((↯⪼⇑⪆20112)⫗⊷⫓(⇑⪆122032⨔≚≋⇑⪆43431)⨑⩅≇((⇑⪆42132≧⫂∧⇑⪆34112)⨐(⇑⪆212443%⇑⪆34204)))≌((⇑⪆143424⨳⩥⨓⇑⪆32040)↼⊘⨖(⇑⪆44231⇼⇔∾⇑⪆20113))↞⋁((⇑⪆13203⩠)⫁⇑⪆41340⨿⇑⪆14234)=NaN","reverse_text":"NaN=((↯⪼⇑⪆20112)⫗⊷⫓(⇑⪆122032⨔≚≋⇑⪆43431)⨑⩅≇((⇑⪆42132≧⫂∧⇑⪆34112)⨐(⇑⪆212443%⇑⪆34204)))≌((⇑⪆143424⨳⩥⨓⇑⪆32040)↼⊘⨖(⇑⪆44231⇼⇔∾⇑⪆20113))↞⋁((⇑⪆13203⩠)⫁⇑⪆41340⨿⇑⪆14234)","cot":[{"info":"↯⪼⇑⪆20112=⇑⪆-41","layer":3},{"info":"⇑⪆122032⨔≚≋⇑⪆43431=⇑⪆303442","layer":3},{"info":"⇑⪆-41⫗⊷⫓⇑⪆303442=⇑⪆-1014","layer":2},{"info":"⇑⪆42132≧⫂∧⇑⪆34112=⇑⪆30214","layer":3},{"info":"⇑⪆212443%⇑⪆34204=⇑⪆34030","layer":3},{"info":"⇑⪆30214⨐⇑⪆34030=⇑⪆-110433","layer":2},{"info":"⇑⪆-1014⨑⩅≇⇑⪆-110433=⇑⪆201311","layer":1},{"info":"⇑⪆143424⨳⩥⨓⇑⪆32040=⇑⪆-111334","layer":3},{"info":"⇑⪆44231⇼⇔∾⇑⪆20113=⇑⪆-24113","layer":3},{"info":"⇑⪆-111334↼⊘⨖⇑⪆-24113=⇑⪆-110123","layer":2},{"info":"⇑⪆13203⩠=⇑⪆0","layer":3},{"info":"⇑⪆41340⨿⇑⪆14234=⇑⪆-2234","layer":3},{"info":"⇑⪆0⫁⇑⪆-2234=⇑⪆1120","layer":2},{"info":"⇑⪆-110123↞⋁⇑⪆1120=NaN","layer":1},{"info":"⇑⪆201311≌NaN=NaN","layer":0}]}
{"id":643,"expression_no_base_symbol":"(↯⪼((≘$1577$)∲⫓(⇁⨣⪵$1555$)))↤⩊(↽≂($5291$⪬$3340$∕⩚$3446$⨔≚≋$1765$))","expression":"(↯⪼((≘⇑⪆22302)∲⫓(⇁⨣⪵⇑⪆22210)))↤⩊(↽≂(⇑⪆132131⪬⇑⪆101330∕⩚⇑⪆102241⨔≚≋⇑⪆24030))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2280,"operation_count":9,"complexity_ratio":253.33333333333334,"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":1577,"base":5}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1555,"base":5}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":5291,"base":5},"right_expr":{"type":"numeric_atoms","value":3340,"base":5}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3446,"base":5},"right_expr":{"type":"numeric_atoms","value":1765,"base":5}}}}},"used_operators":["13rbtpv6ld","8jW3W4yZS5","i8ToyICDmI","tcjXMdvYtA","inkyxCbjAn","u6S6b8DprG","z9ffQ9n5Zr","Ez1Nq5fNfI","Z57zeUYC9z"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1577","layer":4},{"info":"compute unary expreesion, input=1577, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=3478069","layer":3},{"info":"number node, value=1555","layer":4},{"info":"compute unary expreesion, input=1555, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3478069, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , 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":"number node, value=5291","layer":4},{"info":"number node, value=3340","layer":4},{"info":"compute binary expreesion, left_input=5291, right_input=3340, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=3446","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=3446, right_input=1765, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=9872, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1237","layer":2},{"info":"compute unary expreesion, input=-1237, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=2474","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=2474, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(↯⪼((≘⇑⪆22302)∲⫓(⇁⨣⪵⇑⪆22210)))↤⩊(↽≂(⇑⪆132131⪬⇑⪆101330∕⩚⇑⪆102241⨔≚≋⇑⪆24030))=NaN","reverse_text":"NaN=(↯⪼((≘⇑⪆22302)∲⫓(⇁⨣⪵⇑⪆22210)))↤⩊(↽≂(⇑⪆132131⪬⇑⪆101330∕⩚⇑⪆102241⨔≚≋⇑⪆24030))","cot":[{"info":"≘⇑⪆22302=⇑⪆1342244234","layer":3},{"info":"⇁⨣⪵⇑⪆22210=NaN","layer":3},{"info":"⇑⪆1342244234∲⫓NaN=NaN","layer":2},{"info":"↯⪼NaN=⇑⪆-41","layer":1},{"info":"⇑⪆132131⪬⇑⪆101330=⇑⪆14414","layer":3},{"info":"⇑⪆102241⨔≚≋⇑⪆24030=⇑⪆303442","layer":3},{"info":"⇑⪆14414∕⩚⇑⪆303442=⇑⪆-14422","layer":2},{"info":"↽≂⇑⪆-14422=⇑⪆34344","layer":1},{"info":"⇑⪆-41↤⩊⇑⪆34344=NaN","layer":0}]}
{"id":644,"expression_no_base_symbol":"((($1219$⇴$2488$)⊋($2494$∝$1693$))≌(($1520$⫿)⊉↱≁$4585$∺≝⩲$2986$))⇉⇱⇎","expression":"(((⇑⪆14334⇴⇑⪆34423)⊋(⇑⪆34434∝⇑⪆23233))≌((⇑⪆22040⫿)⊉↱≁⇑⪆121320∺≝⩲⇑⪆43421))⇉⇱⇎","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":24123,"operation_count":8,"complexity_ratio":3015.375,"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":1219,"base":5},"right_expr":{"type":"numeric_atoms","value":2488,"base":5}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2494,"base":5},"right_expr":{"type":"numeric_atoms","value":1693,"base":5}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":1520,"base":5}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4585,"base":5},"right_expr":{"type":"numeric_atoms","value":2986,"base":5}}}}},"used_operators":["MRPaB8lBjK","lyWz822IDG","W4tP9CfskL","4JB6nKBMSY","cTDWOvIxvz","w2P8NbNXyL","9tKT6PmtkH","KPf6cnQVty"],"dependent_operators":["XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","sdazOOVcIp","NTOWxs364D","COABgblf1C","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1219","layer":4},{"info":"number node, value=2488","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=2488, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=11904","layer":3},{"info":"number node, value=2494","layer":4},{"info":"number node, value=1693","layer":4},{"info":"compute binary expreesion, left_input=2494, right_input=1693, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2499","layer":3},{"info":"compute binary expreesion, left_input=11904, right_input=2499, 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=182722512","layer":2},{"info":"number node, value=1520","layer":4},{"info":"compute unary expreesion, input=1520, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=1520","layer":3},{"info":"number node, value=4585","layer":4},{"info":"number node, value=2986","layer":4},{"info":"compute binary expreesion, left_input=4585, right_input=2986, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1520, right_input=160, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=14188","layer":2},{"info":"compute binary expreesion, left_input=182722512, right_input=14188, 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 = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆14334⇴⇑⪆34423)⊋(⇑⪆34434∝⇑⪆23233))≌((⇑⪆22040⫿)⊉↱≁⇑⪆121320∺≝⩲⇑⪆43421))⇉⇱⇎=NaN","reverse_text":"NaN=(((⇑⪆14334⇴⇑⪆34423)⊋(⇑⪆34434∝⇑⪆23233))≌((⇑⪆22040⫿)⊉↱≁⇑⪆121320∺≝⩲⇑⪆43421))⇉⇱⇎","cot":[{"info":"⇑⪆14334⇴⇑⪆34423=⇑⪆340104","layer":3},{"info":"⇑⪆34434∝⇑⪆23233=⇑⪆34444","layer":3},{"info":"⇑⪆340104⊋⇑⪆34444=⇑⪆333234110022","layer":2},{"info":"⇑⪆22040⫿=⇑⪆22040","layer":3},{"info":"⇑⪆121320∺≝⩲⇑⪆43421=⇑⪆1120","layer":3},{"info":"⇑⪆22040⊉↱≁⇑⪆1120=⇑⪆423223","layer":2},{"info":"⇑⪆333234110022≌⇑⪆423223=NaN","layer":1},{"info":"NaN⇉⇱⇎=NaN","layer":0}]}
{"id":645,"expression_no_base_symbol":"≤/(⋗⩴⪓$1398$∣$1703$)∥⊢⊲(⊙↵-$4100$⊱⇼⊻$1189$)","expression":"≤/(⋗⩴⪓⇑⪆21043∣⇑⪆23303)∥⊢⊲(⊙↵-⇑⪆112400⊱⇼⊻⇑⪆14224)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2430,"operation_count":6,"complexity_ratio":405.0,"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":1398,"base":5},"right_expr":{"type":"numeric_atoms","value":1703,"base":5}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":4100,"base":5},"right_expr":{"type":"numeric_atoms","value":1189,"base":5}}}}},"used_operators":["eLAdDNolq6","v1UQAVDJRr","nOKPl9n5zu","PPChnnnBFF","oWn0xqSxBt","FyVja0WsTP"],"dependent_operators":["rysDP5nf3Z","EBcxylXtPf","rGHVDoGpnC","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"⇑⪆3414","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1398","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=1703, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1398","layer":3},{"info":"compute unary expreesion, input=1398, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-485","layer":2},{"info":"number node, value=4100","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=4100, right_input=1189, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-2","layer":2},{"info":"compute binary expreesion, left_input=-485, right_input=-2, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":0}],"base":5,"result_base":5,"text":"≤/(⋗⩴⪓⇑⪆21043∣⇑⪆23303)∥⊢⊲(⊙↵-⇑⪆112400⊱⇼⊻⇑⪆14224)=⇑⪆3414","reverse_text":"⇑⪆3414=≤/(⋗⩴⪓⇑⪆21043∣⇑⪆23303)∥⊢⊲(⊙↵-⇑⪆112400⊱⇼⊻⇑⪆14224)","cot":[{"info":"⇑⪆21043∣⇑⪆23303=⇑⪆21043","layer":3},{"info":"⋗⩴⪓⇑⪆21043=⇑⪆-3420","layer":2},{"info":"⇑⪆112400⊱⇼⊻⇑⪆14224=⇑⪆3214","layer":3},{"info":"⊙↵-⇑⪆3214=⇑⪆-2","layer":2},{"info":"⇑⪆-3420∥⊢⊲⇑⪆-2=⇑⪆0","layer":1},{"info":"≤/⇑⪆0=⇑⪆3414","layer":0}]}
{"id":646,"expression_no_base_symbol":"(($7720$⇽⩪)⫘($1599$∛$3343$))⨼⩣(($6712$≣⋋)⫭)⫍⨯↯","expression":"((⇑⪆221340⇽⩪)⫘(⇑⪆22344∛⇑⪆101333))⨼⩣((⇑⪆203322≣⋋)⫭)⫍⨯↯","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":81934,"operation_count":7,"complexity_ratio":11704.857142857143,"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":7720,"base":5}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1599,"base":5},"right_expr":{"type":"numeric_atoms","value":3343,"base":5}}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":6712,"base":5}}}}},"used_operators":["ZcwmYACASQ","JxwMv5le6e","48vC8HMD2b","FonBHBYJbU","w2537kitQq","t4WUHVGj7f","Tcnh7f0tEr"],"dependent_operators":["23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⇑⪆-1014","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7720","layer":4},{"info":"compute unary expreesion, input=7720, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=15962","layer":3},{"info":"number node, value=1599","layer":4},{"info":"number node, value=3343","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=3343, 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=15962, right_input=-670, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=18775717","layer":2},{"info":"number node, value=6712","layer":4},{"info":"compute unary expreesion, input=6712, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=241","layer":2},{"info":"compute binary expreesion, left_input=18775717, right_input=241, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', 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":5,"result_base":5,"text":"((⇑⪆221340⇽⩪)⫘(⇑⪆22344∛⇑⪆101333))⨼⩣((⇑⪆203322≣⋋)⫭)⫍⨯↯=⇑⪆-1014","reverse_text":"⇑⪆-1014=((⇑⪆221340⇽⩪)⫘(⇑⪆22344∛⇑⪆101333))⨼⩣((⇑⪆203322≣⋋)⫭)⫍⨯↯","cot":[{"info":"⇑⪆221340⇽⩪=⇑⪆1002322","layer":3},{"info":"⇑⪆22344∛⇑⪆101333=⇑⪆-10140","layer":3},{"info":"⇑⪆1002322⫘⇑⪆-10140=⇑⪆14301310332","layer":2},{"info":"⇑⪆203322≣⋋=⇑⪆0","layer":3},{"info":"⇑⪆0⫭=⇑⪆1431","layer":2},{"info":"⇑⪆14301310332⨼⩣⇑⪆1431=NaN","layer":1},{"info":"NaN⫍⨯↯=⇑⪆-1014","layer":0}]}
{"id":647,"expression_no_base_symbol":"(($2549$⊉↱≁$1630$)⇡⇂($4971$⪭≯$1001$)∖$3243$≁$4411$%($8019$⪊≅))⇌⫙⪟(⇁⨣⪵$1020$⇣⩺⋵$1126$⇴(↘$1655$))","expression":"((⇑⪆40144⊉↱≁⇑⪆23010)⇡⇂(⇑⪆124341⪭≯⇑⪆13001)∖⇑⪆100433≁⇑⪆120121%(⇑⪆224034⪊≅))⇌⫙⪟(⇁⨣⪵⇑⪆13040⇣⩺⋵⇑⪆14001⇴(↘⇑⪆23110))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":955,"operation_count":12,"complexity_ratio":79.58333333333333,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2549,"base":5},"right_expr":{"type":"numeric_atoms","value":1630,"base":5}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":4971,"base":5},"right_expr":{"type":"numeric_atoms","value":1001,"base":5}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3243,"base":5},"right_expr":{"type":"numeric_atoms","value":4411,"base":5}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":8019,"base":5}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1020,"base":5},"right_expr":{"type":"numeric_atoms","value":1126,"base":5}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1655,"base":5}}}}},"used_operators":["AFVx7xoS7T","tXD093vOjl","UMwdvZNt44","w2P8NbNXyL","XAx5wpdLa6","k8jYdgA6NY","8N2wDY1A35","bjFbhXSADs","inkyxCbjAn","4JB6nKBMSY","F4yD0voBRQ","LdNpr8hQHL"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","rysDP5nf3Z","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","B5M0gjZbta","sdazOOVcIp","NTOWxs364D","COABgblf1C","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","uFcxV4UQCh"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2549","layer":4},{"info":"number node, value=1630","layer":4},{"info":"compute binary expreesion, left_input=2549, right_input=1630, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=15658","layer":3},{"info":"number node, value=4971","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=4971, right_input=1001, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=15658, 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=3243","layer":4},{"info":"number node, value=4411","layer":4},{"info":"compute binary expreesion, left_input=3243, right_input=4411, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=92663","layer":3},{"info":"number node, value=8019","layer":4},{"info":"compute unary expreesion, input=8019, 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=92663, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"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":1},{"info":"number node, value=1020","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=1126, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1655","layer":4},{"info":"compute unary expreesion, input=1655, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=87","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=87, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-1772","layer":2},{"info":"compute unary expreesion, input=-1772, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆40144⊉↱≁⇑⪆23010)⇡⇂(⇑⪆124341⪭≯⇑⪆13001)∖⇑⪆100433≁⇑⪆120121%(⇑⪆224034⪊≅))⇌⫙⪟(⇁⨣⪵⇑⪆13040⇣⩺⋵⇑⪆14001⇴(↘⇑⪆23110))=NaN","reverse_text":"NaN=((⇑⪆40144⊉↱≁⇑⪆23010)⇡⇂(⇑⪆124341⪭≯⇑⪆13001)∖⇑⪆100433≁⇑⪆120121%(⇑⪆224034⪊≅))⇌⫙⪟(⇁⨣⪵⇑⪆13040⇣⩺⋵⇑⪆14001⇴(↘⇑⪆23110))","cot":[{"info":"⇑⪆40144⊉↱≁⇑⪆23010=⇑⪆1000113","layer":3},{"info":"⇑⪆124341⪭≯⇑⪆13001=NaN","layer":3},{"info":"⇑⪆1000113⇡⇂NaN=NaN","layer":2},{"info":"⇑⪆100433≁⇑⪆120121=⇑⪆10431123","layer":3},{"info":"⇑⪆224034⪊≅=⇑⪆0","layer":3},{"info":"⇑⪆10431123%⇑⪆0=NaN","layer":2},{"info":"NaN∖NaN=⇑⪆0","layer":1},{"info":"⇑⪆13040⇣⩺⋵⇑⪆14001=⇑⪆-2020","layer":3},{"info":"↘⇑⪆23110=⇑⪆322","layer":3},{"info":"⇑⪆-2020⇴⇑⪆322=⇑⪆-24042","layer":2},{"info":"⇁⨣⪵⇑⪆-24042=NaN","layer":1},{"info":"⇑⪆0⇌⫙⪟NaN=NaN","layer":0}]}
{"id":648,"expression_no_base_symbol":"(⇐($3424$↞⋁$3196$⩘($6461$⋻⩜⩜$5792$)))⊋((($2205$⨲)≀⫉($7263$⋥≓≎$2335$))⪭($3888$↙$2596$⫌⩉⩟$3789$⨰$1882$))","expression":"(⇐(⇑⪆102144↞⋁⇑⪆100241⩘(⇑⪆201321⋻⩜⩜⇑⪆141132)))⊋(((⇑⪆32310⨲)≀⫉(⇑⪆213023⋥≓≎⇑⪆33320))⪭(⇑⪆111023↙⇑⪆40341⫌⩉⩟⇑⪆110124⨰⇑⪆30012))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":427441,"operation_count":12,"complexity_ratio":35620.083333333336,"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":3424,"base":5},"right_expr":{"type":"numeric_atoms","value":3196,"base":5}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":6461,"base":5},"right_expr":{"type":"numeric_atoms","value":5792,"base":5}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":2205,"base":5}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7263,"base":5},"right_expr":{"type":"numeric_atoms","value":2335,"base":5}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3888,"base":5},"right_expr":{"type":"numeric_atoms","value":2596,"base":5}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3789,"base":5},"right_expr":{"type":"numeric_atoms","value":1882,"base":5}}}}},"used_operators":["W4tP9CfskL","nmZMaaE0Q9","cHh1gJQ2o6","RqrPlJkxDo","oDCm7WA9JY","j9kHMeSvPp","oZj3VtZNQx","nLYMGWM7L8","Qy55tPpLXF","XIIwhv8d0m","yyfyN0ffXY","eewbuw0ToL"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","COABgblf1C","xUOZtlo3hN","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆-132404","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3424","layer":4},{"info":"number node, value=3196","layer":4},{"info":"compute binary expreesion, left_input=3424, right_input=3196, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=6461","layer":4},{"info":"number node, value=5792","layer":4},{"info":"compute binary expreesion, left_input=6461, right_input=5792, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=12922","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12922, 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 = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-762","layer":1},{"info":"number node, value=2205","layer":4},{"info":"compute unary expreesion, input=2205, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=389553229","layer":3},{"info":"number node, value=7263","layer":4},{"info":"number node, value=2335","layer":4},{"info":"compute binary expreesion, left_input=7263, right_input=2335, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2560","layer":3},{"info":"compute binary expreesion, left_input=389553229, right_input=-2560, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=3888","layer":4},{"info":"number node, value=2596","layer":4},{"info":"compute binary expreesion, left_input=3888, right_input=2596, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7788","layer":3},{"info":"number node, value=3789","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=3789, right_input=1882, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1917","layer":3},{"info":"compute binary expreesion, left_input=-7788, right_input=1917, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=-50, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"compute binary expreesion, left_input=-762, right_input=5, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-5354","layer":0}],"base":5,"result_base":5,"text":"(⇐(⇑⪆102144↞⋁⇑⪆100241⩘(⇑⪆201321⋻⩜⩜⇑⪆141132)))⊋(((⇑⪆32310⨲)≀⫉(⇑⪆213023⋥≓≎⇑⪆33320))⪭(⇑⪆111023↙⇑⪆40341⫌⩉⩟⇑⪆110124⨰⇑⪆30012))=⇑⪆-132404","reverse_text":"⇑⪆-132404=(⇐(⇑⪆102144↞⋁⇑⪆100241⩘(⇑⪆201321⋻⩜⩜⇑⪆141132)))⊋(((⇑⪆32310⨲)≀⫉(⇑⪆213023⋥≓≎⇑⪆33320))⪭(⇑⪆111023↙⇑⪆40341⫌⩉⩟⇑⪆110124⨰⇑⪆30012))","cot":[{"info":"⇑⪆102144↞⋁⇑⪆100241=NaN","layer":3},{"info":"⇑⪆201321⋻⩜⩜⇑⪆141132=⇑⪆403142","layer":3},{"info":"NaN⩘⇑⪆403142=⇑⪆1120","layer":2},{"info":"⇐⇑⪆1120=⇑⪆-11022","layer":1},{"info":"⇑⪆32310⨲=⇑⪆1244211200404","layer":3},{"info":"⇑⪆213023⋥≓≎⇑⪆33320=⇑⪆-40220","layer":3},{"info":"⇑⪆1244211200404≀⫉⇑⪆-40220=⇑⪆42242","layer":2},{"info":"⇑⪆111023↙⇑⪆40341=⇑⪆-222123","layer":3},{"info":"⇑⪆110124⨰⇑⪆30012=⇑⪆30132","layer":3},{"info":"⇑⪆-222123⫌⩉⩟⇑⪆30132=⇑⪆-200","layer":2},{"info":"⇑⪆42242⪭⇑⪆-200=⇑⪆10","layer":1},{"info":"⇑⪆-11022⊋⇑⪆10=⇑⪆-132404","layer":0}]}
{"id":649,"expression_no_base_symbol":"(($4295$⪎↠$3417$)⊕∕($1365$∑⇟⊟$3883$))⪃⊛⇣(⨦⪝($2364$⩹$1033$))⪹","expression":"((⇑⪆114140⪎↠⇑⪆102132)⊕∕(⇑⪆20430∑⇟⊟⇑⪆111013))⪃⊛⇣(⨦⪝(⇑⪆33424⩹⇑⪆13113))⪹","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26242,"operation_count":7,"complexity_ratio":3748.8571428571427,"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":4295,"base":5},"right_expr":{"type":"numeric_atoms","value":3417,"base":5}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1365,"base":5},"right_expr":{"type":"numeric_atoms","value":3883,"base":5}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2364,"base":5},"right_expr":{"type":"numeric_atoms","value":1033,"base":5}}}}},"used_operators":["B3sABdIn96","rrgAzCduG9","9cloC0Ngie","3tVxb0NHM4","U7g4x0WXJJ","SUjycxNXIR","2Wsdkap16l"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"⇑⪆210320","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4295","layer":4},{"info":"number node, value=3417","layer":4},{"info":"compute binary expreesion, left_input=4295, right_input=3417, 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=1365","layer":4},{"info":"number node, value=3883","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=3883, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=160","layer":2},{"info":"number node, value=2364","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=2364, right_input=1033, 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=1031","layer":3},{"info":"compute unary expreesion, input=1031, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-1884, 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 = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=6960","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆114140⪎↠⇑⪆102132)⊕∕(⇑⪆20430∑⇟⊟⇑⪆111013))⪃⊛⇣(⨦⪝(⇑⪆33424⩹⇑⪆13113))⪹=⇑⪆210320","reverse_text":"⇑⪆210320=((⇑⪆114140⪎↠⇑⪆102132)⊕∕(⇑⪆20430∑⇟⊟⇑⪆111013))⪃⊛⇣(⨦⪝(⇑⪆33424⩹⇑⪆13113))⪹","cot":[{"info":"⇑⪆114140⪎↠⇑⪆102132=⇑⪆1120","layer":3},{"info":"⇑⪆20430∑⇟⊟⇑⪆111013=NaN","layer":3},{"info":"⇑⪆1120⊕∕NaN=⇑⪆1120","layer":2},{"info":"⇑⪆33424⩹⇑⪆13113=⇑⪆13111","layer":3},{"info":"⨦⪝⇑⪆13111=⇑⪆-30014","layer":2},{"info":"⇑⪆1120⪃⊛⇣⇑⪆-30014=⇑⪆14414","layer":1},{"info":"⇑⪆14414⪹=⇑⪆210320","layer":0}]}
{"id":650,"expression_no_base_symbol":"(≸≮(⫖→$1115$))⩒⫫($7577$∌↝$1748$⨁⊸⫻)⊘","expression":"(≸≮(⫖→⇑⪆13430))⩒⫫(⇑⪆220302∌↝⇑⪆23443⨁⊸⫻)⊘","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1398,"operation_count":6,"complexity_ratio":233.0,"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":1115,"base":5}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":7577,"base":5},"right_expr":{"type":"numeric_atoms","value":1748,"base":5}}}}},"used_operators":["gu96TGCTMs","KFSx94NKJn","AljMvE3RRm","U4ylXWHChL","glklzrTFfD","9Isq31Ruls"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","W4YGzv6Whe","rysDP5nf3Z","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=1115","layer":4},{"info":"compute unary expreesion, input=1115, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=446","layer":2},{"info":"number node, value=7577","layer":4},{"info":"number node, value=1748","layer":4},{"info":"compute binary expreesion, left_input=7577, right_input=1748, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=446, right_input=0, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=144","layer":1},{"info":"compute unary expreesion, input=144, 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":5,"result_base":5,"text":"(≸≮(⫖→⇑⪆13430))⩒⫫(⇑⪆220302∌↝⇑⪆23443⨁⊸⫻)⊘=⇑⪆0","reverse_text":"⇑⪆0=(≸≮(⫖→⇑⪆13430))⩒⫫(⇑⪆220302∌↝⇑⪆23443⨁⊸⫻)⊘","cot":[{"info":"⫖→⇑⪆13430=⇑⪆1202","layer":3},{"info":"≸≮⇑⪆1202=⇑⪆3241","layer":2},{"info":"⇑⪆220302∌↝⇑⪆23443=⇑⪆0","layer":3},{"info":"⇑⪆0⨁⊸⫻=⇑⪆0","layer":2},{"info":"⇑⪆3241⩒⫫⇑⪆0=⇑⪆1034","layer":1},{"info":"⇑⪆1034⊘=⇑⪆0","layer":0}]}
{"id":651,"expression_no_base_symbol":"⇐((⊁⨺$4609$)⪮%⊝($2703$⩷∴$2748$)⇋≉)","expression":"⇐((⊁⨺⇑⪆121414)⪮%⊝(⇑⪆41303⩷∴⇑⪆41443)⇋≉)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":80,"operation_count":5,"complexity_ratio":16.0,"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":4609,"base":5}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2703,"base":5},"right_expr":{"type":"numeric_atoms","value":2748,"base":5}}}}},"used_operators":["nmZMaaE0Q9","XIabStNQrY","IWmyXbctLI","PxiHyQbrIp","9FxExcQeMw"],"dependent_operators":["23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z"],"result":"⇑⪆42004","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4609","layer":4},{"info":"compute unary expreesion, input=4609, 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=2703","layer":4},{"info":"number node, value=2748","layer":4},{"info":"compute binary expreesion, left_input=2703, right_input=2748, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-122","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-122, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=636","layer":2},{"info":"compute unary expreesion, input=636, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=1174","layer":1},{"info":"compute unary expreesion, input=1174, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=2754","layer":0}],"base":5,"result_base":5,"text":"⇐((⊁⨺⇑⪆121414)⪮%⊝(⇑⪆41303⩷∴⇑⪆41443)⇋≉)=⇑⪆42004","reverse_text":"⇑⪆42004=⇐((⊁⨺⇑⪆121414)⪮%⊝(⇑⪆41303⩷∴⇑⪆41443)⇋≉)","cot":[{"info":"⊁⨺⇑⪆121414=⇑⪆1120","layer":3},{"info":"⇑⪆41303⩷∴⇑⪆41443=⇑⪆-442","layer":3},{"info":"⇑⪆1120⪮%⊝⇑⪆-442=⇑⪆10021","layer":2},{"info":"⇑⪆10021⇋≉=⇑⪆14144","layer":1},{"info":"⇐⇑⪆14144=⇑⪆42004","layer":0}]}
{"id":652,"expression_no_base_symbol":"(($1595$⫉⨲⊜$1749$⊔$1545$⋹⋡⊁$1906$)⪭($3505$⪚$3962$⪶≀⋏$1925$⩁⩘$1708$))⇤(↨$4254$≁↽≥$1094$⊋($1532$↺$1845$))","expression":"((⇑⪆22340⫉⨲⊜⇑⪆23444⊔⇑⪆22140⋹⋡⊁⇑⪆30111)⪭(⇑⪆103010⪚⇑⪆111322⪶≀⋏⇑⪆30200⩁⩘⇑⪆23313))⇤(↨⇑⪆114004≁↽≥⇑⪆13334⊋(⇑⪆22112↺⇑⪆24340))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":69940,"operation_count":12,"complexity_ratio":5828.333333333333,"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":1595,"base":5},"right_expr":{"type":"numeric_atoms","value":1749,"base":5}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1545,"base":5},"right_expr":{"type":"numeric_atoms","value":1906,"base":5}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3505,"base":5},"right_expr":{"type":"numeric_atoms","value":3962,"base":5}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1925,"base":5},"right_expr":{"type":"numeric_atoms","value":1708,"base":5}}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4254,"base":5},"right_expr":{"type":"numeric_atoms","value":1094,"base":5}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1532,"base":5},"right_expr":{"type":"numeric_atoms","value":1845,"base":5}}}}},"used_operators":["YSKBFp38Pu","j9kHMeSvPp","E4l6HwMY31","WhqkvtTD3t","As8RqfVLgs","zR4jO40bMj","HrjLwUk87U","gub5Cegaqo","jiX4gk2v2Q","W4tP9CfskL","ncHt1X6cMc","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eewbuw0ToL","zVYPLywUTj","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","DpFCA1CohY","IWmyXbctLI","rGHVDoGpnC","oZj3VtZNQx","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1595","layer":4},{"info":"number node, value=1749","layer":4},{"info":"compute binary expreesion, left_input=1595, right_input=1749, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1545","layer":4},{"info":"number node, value=1906","layer":4},{"info":"compute binary expreesion, left_input=1545, right_input=1906, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2656","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2656, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=10880","layer":2},{"info":"number node, value=3505","layer":4},{"info":"number node, value=3962","layer":4},{"info":"compute binary expreesion, left_input=3505, right_input=3962, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-1270","layer":3},{"info":"number node, value=1925","layer":4},{"info":"number node, value=1708","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=1708, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=7780","layer":3},{"info":"compute binary expreesion, left_input=-1270, right_input=7780, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=62240","layer":2},{"info":"compute binary expreesion, left_input=10880, right_input=62240, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"number node, value=4254","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=4254, right_input=1094, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=62958","layer":3},{"info":"number node, value=1532","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=1532, right_input=1845, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1845","layer":3},{"info":"compute binary expreesion, left_input=62958, right_input=1845, 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=863221632","layer":2},{"info":"compute unary expreesion, input=863221632, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆22340⫉⨲⊜⇑⪆23444⊔⇑⪆22140⋹⋡⊁⇑⪆30111)⪭(⇑⪆103010⪚⇑⪆111322⪶≀⋏⇑⪆30200⩁⩘⇑⪆23313))⇤(↨⇑⪆114004≁↽≥⇑⪆13334⊋(⇑⪆22112↺⇑⪆24340))=NaN","reverse_text":"NaN=((⇑⪆22340⫉⨲⊜⇑⪆23444⊔⇑⪆22140⋹⋡⊁⇑⪆30111)⪭(⇑⪆103010⪚⇑⪆111322⪶≀⋏⇑⪆30200⩁⩘⇑⪆23313))⇤(↨⇑⪆114004≁↽≥⇑⪆13334⊋(⇑⪆22112↺⇑⪆24340))","cot":[{"info":"⇑⪆22340⫉⨲⊜⇑⪆23444=⇑⪆0","layer":3},{"info":"⇑⪆22140⋹⋡⊁⇑⪆30111=⇑⪆41111","layer":3},{"info":"⇑⪆0⊔⇑⪆41111=⇑⪆322010","layer":2},{"info":"⇑⪆103010⪚⇑⪆111322=⇑⪆-20040","layer":3},{"info":"⇑⪆30200⩁⩘⇑⪆23313=⇑⪆222110","layer":3},{"info":"⇑⪆-20040⪶≀⋏⇑⪆222110=⇑⪆3442430","layer":2},{"info":"⇑⪆322010⪭⇑⪆3442430=⇑⪆10","layer":1},{"info":"⇑⪆114004≁↽≥⇑⪆13334=⇑⪆4003313","layer":3},{"info":"⇑⪆22112↺⇑⪆24340=⇑⪆24340","layer":3},{"info":"⇑⪆4003313⊋⇑⪆24340=⇑⪆3231441043012","layer":2},{"info":"↨⇑⪆3231441043012=NaN","layer":1},{"info":"⇑⪆10⇤NaN=NaN","layer":0}]}
{"id":653,"expression_no_base_symbol":"($3258$∥⊢⊲$1801$⪥($4781$≬⋮$1805$))↹⊜(($5780$↱$1164$)⩘$1948$⪎↠$4570$)⪃↞⩐","expression":"(⇑⪆101013∥⊢⊲⇑⪆24201⪥(⇑⪆123111≬⋮⇑⪆24210))↹⊜((⇑⪆141110↱⇑⪆14124)⩘⇑⪆30243⪎↠⇑⪆121240)⪃↞⩐","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":9134,"operation_count":8,"complexity_ratio":1141.75,"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":3258,"base":5},"right_expr":{"type":"numeric_atoms","value":1801,"base":5}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4781,"base":5},"right_expr":{"type":"numeric_atoms","value":1805,"base":5}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5780,"base":5},"right_expr":{"type":"numeric_atoms","value":1164,"base":5}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1948,"base":5},"right_expr":{"type":"numeric_atoms","value":4570,"base":5}}}}},"used_operators":["grXIztHqDa","9bazX3JMtO","QbnwKVWMIQ","v1UQAVDJRr","kbkesczE7y","cHh1gJQ2o6","SR5kFfdi6N","3tVxb0NHM4"],"dependent_operators":["IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","EBcxylXtPf","rGHVDoGpnC","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=3258","layer":4},{"info":"number node, value=1801","layer":4},{"info":"compute binary expreesion, left_input=3258, right_input=1801, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=4781","layer":4},{"info":"number node, value=1805","layer":4},{"info":"compute binary expreesion, left_input=4781, right_input=1805, 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 = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":2},{"info":"number node, value=5780","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=5780, right_input=1164, 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=-2970","layer":3},{"info":"number node, value=1948","layer":4},{"info":"number node, value=4570","layer":4},{"info":"compute binary expreesion, left_input=1948, right_input=4570, 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=-2970, right_input=160, 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 = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆101013∥⊢⊲⇑⪆24201⪥(⇑⪆123111≬⋮⇑⪆24210))↹⊜((⇑⪆141110↱⇑⪆14124)⩘⇑⪆30243⪎↠⇑⪆121240)⪃↞⩐=NaN","reverse_text":"NaN=(⇑⪆101013∥⊢⊲⇑⪆24201⪥(⇑⪆123111≬⋮⇑⪆24210))↹⊜((⇑⪆141110↱⇑⪆14124)⩘⇑⪆30243⪎↠⇑⪆121240)⪃↞⩐","cot":[{"info":"⇑⪆101013∥⊢⊲⇑⪆24201=NaN","layer":3},{"info":"⇑⪆123111≬⋮⇑⪆24210=⇑⪆11433","layer":3},{"info":"NaN⪥⇑⪆11433=NaN","layer":2},{"info":"⇑⪆141110↱⇑⪆14124=⇑⪆-43340","layer":3},{"info":"⇑⪆30243⪎↠⇑⪆121240=⇑⪆1120","layer":3},{"info":"⇑⪆-43340⩘⇑⪆1120=⇑⪆1120","layer":2},{"info":"NaN↹⊜⇑⪆1120=NaN","layer":1},{"info":"NaN⪃↞⩐=NaN","layer":0}]}
{"id":654,"expression_no_base_symbol":"(≅≯⇸(⫶⊄≣($1786$⨫⇇↔$1706$)))↱(($4259$⩌⋺$1388$)⨐(⪹$6223$)⪬∳)","expression":"(≅≯⇸(⫶⊄≣(⇑⪆24121⨫⇇↔⇑⪆23311)))↱((⇑⪆114014⩌⋺⇑⪆21023)⨐(⪹⇑⪆144343)⪬∳)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":35402,"operation_count":8,"complexity_ratio":4425.25,"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":1786,"base":5},"right_expr":{"type":"numeric_atoms","value":1706,"base":5}}}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":4259,"base":5},"right_expr":{"type":"numeric_atoms","value":1388,"base":5}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":6223,"base":5}}}}},"used_operators":["SR5kFfdi6N","apS25hmuAe","wxb3vTeyAj","LXhwmt4mBO","O9U3z1385E","Noe24qw2ks","g7Hmc5v1ko","USyYr0JgAa"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","EBcxylXtPf","QMFrweE19q","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","tifHPKVTfV"],"result":"⇑⪆302030","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1786","layer":4},{"info":"number node, value=1706","layer":4},{"info":"compute binary expreesion, left_input=1786, right_input=1706, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=4986325","layer":2},{"info":"compute unary expreesion, input=4986325, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=19952977","layer":1},{"info":"number node, value=4259","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=4259, right_input=1388, 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=-5768","layer":3},{"info":"number node, value=6223","layer":4},{"info":"compute unary expreesion, input=6223, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-6043","layer":3},{"info":"compute binary expreesion, left_input=-5768, right_input=-6043, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=11536","layer":2},{"info":"compute unary expreesion, input=11536, 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=19952977, right_input=-709, 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=9640","layer":0}],"base":5,"result_base":5,"text":"(≅≯⇸(⫶⊄≣(⇑⪆24121⨫⇇↔⇑⪆23311)))↱((⇑⪆114014⩌⋺⇑⪆21023)⨐(⪹⇑⪆144343)⪬∳)=⇑⪆302030","reverse_text":"⇑⪆302030=(≅≯⇸(⫶⊄≣(⇑⪆24121⨫⇇↔⇑⪆23311)))↱((⇑⪆114014⩌⋺⇑⪆21023)⨐(⪹⇑⪆144343)⪬∳)","cot":[{"info":"⇑⪆24121⨫⇇↔⇑⪆23311=⇑⪆-4102","layer":3},{"info":"⫶⊄≣⇑⪆-4102=⇑⪆2234030300","layer":2},{"info":"≅≯⇸⇑⪆2234030300=⇑⪆20101443402","layer":1},{"info":"⇑⪆114014⩌⋺⇑⪆21023=⇑⪆-141033","layer":3},{"info":"⪹⇑⪆144343=⇑⪆-143133","layer":3},{"info":"⇑⪆-141033⨐⇑⪆-143133=⇑⪆332121","layer":2},{"info":"⇑⪆332121⪬∳=⇑⪆-10314","layer":1},{"info":"⇑⪆20101443402↱⇑⪆-10314=⇑⪆302030","layer":0}]}
{"id":655,"expression_no_base_symbol":"($4725$∓⋝$2252$⪒$5454$≀⫉$1230$)⨑⩅≇($1070$⪮%⊝$5023$⇴(⊵⊁$2208$))⨫⇇↔$7358$⋕⪉⪜$1249$↳≱($6594$⩣⫁∢$9111$)≹⇙⪍(⊆⋠$3440$)⊉↱≁($3409$∇⊂⋱$2677$)","expression":"(⇑⪆122400∓⋝⇑⪆33002⪒⇑⪆133304≀⫉⇑⪆14410)⨑⩅≇(⇑⪆13240⪮%⊝⇑⪆130043⇴(⊵⊁⇑⪆32313))⨫⇇↔⇑⪆213413⋕⪉⪜⇑⪆14444↳≱(⇑⪆202334⩣⫁∢⇑⪆242421)≹⇙⪍(⊆⋠⇑⪆102230)⊉↱≁(⇑⪆102114∇⊂⋱⇑⪆41202)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":549,"operation_count":15,"complexity_ratio":36.6,"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":4725,"base":5},"right_expr":{"type":"numeric_atoms","value":2252,"base":5}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":5454,"base":5},"right_expr":{"type":"numeric_atoms","value":1230,"base":5}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1070,"base":5},"right_expr":{"type":"numeric_atoms","value":5023,"base":5}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":2208,"base":5}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":7358,"base":5},"right_expr":{"type":"numeric_atoms","value":1249,"base":5}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":6594,"base":5},"right_expr":{"type":"numeric_atoms","value":9111,"base":5}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":3440,"base":5}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3409,"base":5},"right_expr":{"type":"numeric_atoms","value":2677,"base":5}}}}},"used_operators":["LXhwmt4mBO","h92wMvzauj","f6k1SAg4EE","PoHhknlbAi","oZj3VtZNQx","4JB6nKBMSY","IWmyXbctLI","AvED76WdY7","AHs5Up7iyr","JwTKLfZU96","z6LnFrNh4i","JDUIKTTSIa","w2P8NbNXyL","EBhcHTkKd8","nhYeJWJD5X"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","sdazOOVcIp","NTOWxs364D","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","uBihLCJcMX","k8jYdgA6NY","dWAJyo7jo9","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"⇑⪆-4102","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4725","layer":4},{"info":"number node, value=2252","layer":4},{"info":"compute binary expreesion, left_input=4725, right_input=2252, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=5454","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=5454, right_input=1230, 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=67, right_input=2822, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2889","layer":2},{"info":"number node, value=1070","layer":4},{"info":"number node, value=5023","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=5023, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2456","layer":3},{"info":"number node, value=2208","layer":4},{"info":"compute unary expreesion, input=2208, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=12178","layer":3},{"info":"compute binary expreesion, left_input=2456, right_input=12178, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=38706","layer":2},{"info":"compute binary expreesion, left_input=-2889, right_input=38706, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":1},{"info":"number node, value=7358","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=7358, right_input=1249, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=6594","layer":4},{"info":"number node, value=9111","layer":4},{"info":"compute binary expreesion, left_input=6594, right_input=9111, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-13027","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=-13027, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=3440","layer":4},{"info":"compute unary expreesion, input=3440, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=3409","layer":4},{"info":"number node, value=2677","layer":4},{"info":"compute binary expreesion, left_input=3409, right_input=2677, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=6272","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6272, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-38746","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-38746, 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=-55, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆122400∓⋝⇑⪆33002⪒⇑⪆133304≀⫉⇑⪆14410)⨑⩅≇(⇑⪆13240⪮%⊝⇑⪆130043⇴(⊵⊁⇑⪆32313))⨫⇇↔⇑⪆213413⋕⪉⪜⇑⪆14444↳≱(⇑⪆202334⩣⫁∢⇑⪆242421)≹⇙⪍(⊆⋠⇑⪆102230)⊉↱≁(⇑⪆102114∇⊂⋱⇑⪆41202)=⇑⪆-4102","reverse_text":"⇑⪆-4102=(⇑⪆122400∓⋝⇑⪆33002⪒⇑⪆133304≀⫉⇑⪆14410)⨑⩅≇(⇑⪆13240⪮%⊝⇑⪆130043⇴(⊵⊁⇑⪆32313))⨫⇇↔⇑⪆213413⋕⪉⪜⇑⪆14444↳≱(⇑⪆202334⩣⫁∢⇑⪆242421)≹⇙⪍(⊆⋠⇑⪆102230)⊉↱≁(⇑⪆102114∇⊂⋱⇑⪆41202)","cot":[{"info":"⇑⪆122400∓⋝⇑⪆33002=⇑⪆232","layer":3},{"info":"⇑⪆133304≀⫉⇑⪆14410=⇑⪆42242","layer":3},{"info":"⇑⪆232⪒⇑⪆42242=⇑⪆-43024","layer":2},{"info":"⇑⪆13240⪮%⊝⇑⪆130043=⇑⪆34311","layer":3},{"info":"⊵⊁⇑⪆32313=⇑⪆342203","layer":3},{"info":"⇑⪆34311⇴⇑⪆342203=⇑⪆2214311","layer":2},{"info":"⇑⪆-43024⨑⩅≇⇑⪆2214311=⇑⪆-210","layer":1},{"info":"⇑⪆213413⋕⪉⪜⇑⪆14444=⇑⪆42202","layer":3},{"info":"⇑⪆202334⩣⫁∢⇑⪆242421=⇑⪆-404102","layer":3},{"info":"⇑⪆42202↳≱⇑⪆-404102=⇑⪆0","layer":2},{"info":"⊆⋠⇑⪆102230=⇑⪆0","layer":3},{"info":"⇑⪆102114∇⊂⋱⇑⪆41202=⇑⪆200042","layer":3},{"info":"⇑⪆0⊉↱≁⇑⪆200042=⇑⪆-2214441","layer":2},{"info":"⇑⪆0≹⇙⪍⇑⪆-2214441=NaN","layer":1},{"info":"⇑⪆-210⨫⇇↔NaN=⇑⪆-4102","layer":0}]}
{"id":656,"expression_no_base_symbol":"($8320$≹⇙⪍$1655$%$1866$⫁⪎$1275$)∴($1306$⨟⋌⩍$4451$)⫗⊷⫓($2504$⫌⩉⩟$2075$)⨚((⊖$1249$⋝⋈⪟$3190$)⪁($1769$⪷)⫰⋱($7723$∁))","expression":"(⇑⪆231240≹⇙⪍⇑⪆23110%⇑⪆24431⫁⪎⇑⪆20100)∴(⇑⪆20211⨟⋌⩍⇑⪆120301)⫗⊷⫓(⇑⪆40004⫌⩉⩟⇑⪆31300)⨚((⊖⇑⪆14444⋝⋈⪟⇑⪆100230)⪁(⇑⪆24034⪷)⫰⋱(⇑⪆221343∁))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":99545,"operation_count":14,"complexity_ratio":7110.357142857143,"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":8320,"base":5},"right_expr":{"type":"numeric_atoms","value":1655,"base":5}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1866,"base":5},"right_expr":{"type":"numeric_atoms","value":1275,"base":5}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1306,"base":5},"right_expr":{"type":"numeric_atoms","value":4451,"base":5}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2504,"base":5},"right_expr":{"type":"numeric_atoms","value":2075,"base":5}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1249,"base":5},"right_expr":{"type":"numeric_atoms","value":3190,"base":5}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":1769,"base":5}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":7723,"base":5}}}}},"used_operators":["nREPSIbpBE","hrf7POJlIJ","k8jYdgA6NY","AHs5Up7iyr","xRrnTEsQ6j","zashukvMKz","rGHVDoGpnC","XIIwhv8d0m","I7sXao9hZE","U6pG0PXrV3","2DDjHMKMc0","6o9Blt3TJ6","Qctrpi3WzA","jdwGQqwJi5"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","dWAJyo7jo9","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","Tcnh7f0tEr","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","Nsiff2A1zJ","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=8320","layer":4},{"info":"number node, value=1655","layer":4},{"info":"compute binary expreesion, left_input=8320, right_input=1655, 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=1866","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=1275, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=591","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=591, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1306","layer":4},{"info":"number node, value=4451","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=4451, 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=2504","layer":4},{"info":"number node, value=2075","layer":4},{"info":"compute binary expreesion, left_input=2504, right_input=2075, 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 = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":1},{"info":"number node, value=1249","layer":4},{"info":"number node, value=3190","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=3190, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1249","layer":3},{"info":"compute unary expreesion, input=1249, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":2},{"info":"number node, value=1769","layer":4},{"info":"compute unary expreesion, input=1769, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=7723","layer":4},{"info":"compute unary expreesion, input=7723, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=7723","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7723, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆231240≹⇙⪍⇑⪆23110%⇑⪆24431⫁⪎⇑⪆20100)∴(⇑⪆20211⨟⋌⩍⇑⪆120301)⫗⊷⫓(⇑⪆40004⫌⩉⩟⇑⪆31300)⨚((⊖⇑⪆14444⋝⋈⪟⇑⪆100230)⪁(⇑⪆24034⪷)⫰⋱(⇑⪆221343∁))=NaN","reverse_text":"NaN=(⇑⪆231240≹⇙⪍⇑⪆23110%⇑⪆24431⫁⪎⇑⪆20100)∴(⇑⪆20211⨟⋌⩍⇑⪆120301)⫗⊷⫓(⇑⪆40004⫌⩉⩟⇑⪆31300)⨚((⊖⇑⪆14444⋝⋈⪟⇑⪆100230)⪁(⇑⪆24034⪷)⫰⋱(⇑⪆221343∁))","cot":[{"info":"⇑⪆231240≹⇙⪍⇑⪆23110=NaN","layer":3},{"info":"⇑⪆24431⫁⪎⇑⪆20100=⇑⪆4331","layer":3},{"info":"NaN%⇑⪆4331=NaN","layer":2},{"info":"⇑⪆20211⨟⋌⩍⇑⪆120301=NaN","layer":3},{"info":"⇑⪆40004⫌⩉⩟⇑⪆31300=⇑⪆-200","layer":3},{"info":"NaN⫗⊷⫓⇑⪆-200=⇑⪆-1014","layer":2},{"info":"NaN∴⇑⪆-1014=NaN","layer":1},{"info":"⇑⪆14444⋝⋈⪟⇑⪆100230=⇑⪆14444","layer":3},{"info":"⊖⇑⪆14444=⇑⪆0","layer":2},{"info":"⇑⪆24034⪷=NaN","layer":3},{"info":"⇑⪆221343∁=⇑⪆221343","layer":3},{"info":"NaN⫰⋱⇑⪆221343=NaN","layer":2},{"info":"⇑⪆0⪁NaN=⇑⪆0","layer":1},{"info":"NaN⨚⇑⪆0=NaN","layer":0}]}
{"id":657,"expression_no_base_symbol":"($3047$⪹)⩣⫁∢($3650$⩌⋺$4683$)⩘($1629$⩺⋐⫨)⊱⇼⊻$4263$≁↽≥$1299$⫌⩉⩟(⫵↿$3871$⩁⩘$1990$)⪔($3816$⊱⇼⊻$1879$⊵↤)","expression":"(⇑⪆44142⪹)⩣⫁∢(⇑⪆104100⩌⋺⇑⪆122213)⩘(⇑⪆23004⩺⋐⫨)⊱⇼⊻⇑⪆114023≁↽≥⇑⪆20144⫌⩉⩟(⫵↿⇑⪆110441⩁⩘⇑⪆30430)⪔(⇑⪆110231⊱⇼⊻⇑⪆30004⊵↤)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":272279,"operation_count":13,"complexity_ratio":20944.53846153846,"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":3047,"base":5}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3650,"base":5},"right_expr":{"type":"numeric_atoms","value":4683,"base":5}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":1629,"base":5}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4263,"base":5},"right_expr":{"type":"numeric_atoms","value":1299,"base":5}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":3871,"base":5},"right_expr":{"type":"numeric_atoms","value":1990,"base":5}}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3816,"base":5},"right_expr":{"type":"numeric_atoms","value":1879,"base":5}}}}},"used_operators":["XIIwhv8d0m","cHh1gJQ2o6","JDUIKTTSIa","B3sABdIn96","g7Hmc5v1ko","FyVja0WsTP","yS9ePUuUdn","ncHt1X6cMc","GjBEYRfMaF","ivGwdmUAux","gub5Cegaqo","7IPrd9c3lf"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","oWn0xqSxBt","3Oe9XWJUTD","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","DpFCA1CohY","IWmyXbctLI","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q"],"result":"⇑⪆-200","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3047","layer":4},{"info":"compute unary expreesion, input=3047, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=10586","layer":3},{"info":"number node, value=3650","layer":4},{"info":"number node, value=4683","layer":4},{"info":"compute binary expreesion, left_input=3650, right_input=4683, 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=-8454","layer":3},{"info":"compute binary expreesion, left_input=10586, right_input=-8454, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-21011","layer":2},{"info":"number node, value=1629","layer":4},{"info":"compute unary expreesion, input=1629, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"number node, value=4263","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=4263, right_input=1299, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=62665","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=62665, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=204","layer":2},{"info":"compute binary expreesion, left_input=-21011, right_input=204, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=3871","layer":4},{"info":"number node, value=1990","layer":4},{"info":"compute binary expreesion, left_input=3871, right_input=1990, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=8908","layer":3},{"info":"compute unary expreesion, input=8908, 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=3816","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=3816, right_input=1879, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=137, right_input=67, 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=160, right_input=450, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆44142⪹)⩣⫁∢(⇑⪆104100⩌⋺⇑⪆122213)⩘(⇑⪆23004⩺⋐⫨)⊱⇼⊻⇑⪆114023≁↽≥⇑⪆20144⫌⩉⩟(⫵↿⇑⪆110441⩁⩘⇑⪆30430)⪔(⇑⪆110231⊱⇼⊻⇑⪆30004⊵↤)=⇑⪆-200","reverse_text":"⇑⪆-200=(⇑⪆44142⪹)⩣⫁∢(⇑⪆104100⩌⋺⇑⪆122213)⩘(⇑⪆23004⩺⋐⫨)⊱⇼⊻⇑⪆114023≁↽≥⇑⪆20144⫌⩉⩟(⫵↿⇑⪆110441⩁⩘⇑⪆30430)⪔(⇑⪆110231⊱⇼⊻⇑⪆30004⊵↤)","cot":[{"info":"⇑⪆44142⪹=⇑⪆314321","layer":3},{"info":"⇑⪆104100⩌⋺⇑⪆122213=⇑⪆-232304","layer":3},{"info":"⇑⪆314321⩣⫁∢⇑⪆-232304=⇑⪆-1133021","layer":2},{"info":"⇑⪆23004⩺⋐⫨=⇑⪆0","layer":3},{"info":"⇑⪆114023≁↽≥⇑⪆20144=⇑⪆4001130","layer":3},{"info":"⇑⪆0⊱⇼⊻⇑⪆4001130=⇑⪆1304","layer":2},{"info":"⇑⪆-1133021⩘⇑⪆1304=⇑⪆1120","layer":1},{"info":"⇑⪆110441⩁⩘⇑⪆30430=⇑⪆241113","layer":3},{"info":"⫵↿⇑⪆241113=⇑⪆1022","layer":2},{"info":"⇑⪆110231⊱⇼⊻⇑⪆30004=⇑⪆3214","layer":3},{"info":"⇑⪆3214⊵↤=⇑⪆232","layer":2},{"info":"⇑⪆1022⪔⇑⪆232=⇑⪆3300","layer":1},{"info":"⇑⪆1120⫌⩉⩟⇑⪆3300=⇑⪆-200","layer":0}]}
{"id":658,"expression_no_base_symbol":"($1178$⊲⩕⊾$1160$⨚⇆($3526$⪄$4888$)⊘)⪕((⨝⨆$3162$)↫)≴⪞⇿($4114$≀⫉$2068$⨒$4551$⫣⪄⊒$3114$)","expression":"(⇑⪆14203⊲⩕⊾⇑⪆14120⨚⇆(⇑⪆103101⪄⇑⪆124023)⊘)⪕((⨝⨆⇑⪆100122)↫)≴⪞⇿(⇑⪆112424≀⫉⇑⪆31233⨒⇑⪆121201⫣⪄⊒⇑⪆44424)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":190090,"operation_count":11,"complexity_ratio":17280.909090909092,"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":1178,"base":5},"right_expr":{"type":"numeric_atoms","value":1160,"base":5}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3526,"base":5},"right_expr":{"type":"numeric_atoms","value":4888,"base":5}}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":3162,"base":5}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":4114,"base":5},"right_expr":{"type":"numeric_atoms","value":2068,"base":5}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4551,"base":5},"right_expr":{"type":"numeric_atoms","value":3114,"base":5}}}}},"used_operators":["umQnsF7QlU","gu96TGCTMs","lwHaAYXP2r","DmTXOeWf9t","SUmda5xLS4","lvlrscuwVU","uPb5QRN0te","bQ67fsrMVf","y75s1iXyHd","oZj3VtZNQx","RabNbG55vr"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","tifHPKVTfV","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1178","layer":4},{"info":"number node, value=1160","layer":4},{"info":"compute binary expreesion, left_input=1178, right_input=1160, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-27078","layer":3},{"info":"number node, value=3526","layer":4},{"info":"number node, value=4888","layer":4},{"info":"compute binary expreesion, left_input=3526, right_input=4888, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-537489","layer":3},{"info":"compute binary expreesion, left_input=-27078, right_input=-537489, 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 = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":1},{"info":"number node, value=3162","layer":4},{"info":"compute unary expreesion, input=3162, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2953","layer":3},{"info":"compute unary expreesion, input=2953, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":2},{"info":"number node, value=4114","layer":4},{"info":"number node, value=2068","layer":4},{"info":"compute binary expreesion, left_input=4114, right_input=2068, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=4551","layer":4},{"info":"number node, value=3114","layer":4},{"info":"compute binary expreesion, left_input=4551, right_input=3114, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-10094","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-10094, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=1, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=13595","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=13595, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆14203⊲⩕⊾⇑⪆14120⨚⇆(⇑⪆103101⪄⇑⪆124023)⊘)⪕((⨝⨆⇑⪆100122)↫)≴⪞⇿(⇑⪆112424≀⫉⇑⪆31233⨒⇑⪆121201⫣⪄⊒⇑⪆44424)=NaN","reverse_text":"NaN=(⇑⪆14203⊲⩕⊾⇑⪆14120⨚⇆(⇑⪆103101⪄⇑⪆124023)⊘)⪕((⨝⨆⇑⪆100122)↫)≴⪞⇿(⇑⪆112424≀⫉⇑⪆31233⨒⇑⪆121201⫣⪄⊒⇑⪆44424)","cot":[{"info":"⇑⪆14203⊲⩕⊾⇑⪆14120=⇑⪆-1331303","layer":3},{"info":"⇑⪆103101⪄⇑⪆124023=⇑⪆-114144424","layer":3},{"info":"⇑⪆-1331303⨚⇆⇑⪆-114144424=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"⨝⨆⇑⪆100122=⇑⪆43303","layer":3},{"info":"⇑⪆43303↫=⇑⪆1120","layer":2},{"info":"⇑⪆112424≀⫉⇑⪆31233=⇑⪆42242","layer":3},{"info":"⇑⪆121201⫣⪄⊒⇑⪆44424=⇑⪆-310334","layer":3},{"info":"⇑⪆42242⨒⇑⪆-310334=⇑⪆1","layer":2},{"info":"⇑⪆1120≴⪞⇿⇑⪆1=⇑⪆413340","layer":1},{"info":"NaN⪕⇑⪆413340=NaN","layer":0}]}
{"id":659,"expression_no_base_symbol":"(⇤←$4044$↼⊘⨖$1553$⪄$1749$⨸$3711$)⨝⩣∺","expression":"(⇤←⇑⪆112134↼⊘⨖⇑⪆22203⪄⇑⪆23444⨸⇑⪆104321)⨝⩣∺","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1312734,"operation_count":5,"complexity_ratio":262546.8,"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":4044,"base":5},"right_expr":{"type":"numeric_atoms","value":1553,"base":5}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1749,"base":5},"right_expr":{"type":"numeric_atoms","value":3711,"base":5}}}}},"used_operators":["ancx8kZcWl","jfAgQ2OQeM","SUmda5xLS4","bPywburJMS","KmoU8R5UQR"],"dependent_operators":["DZ8iAZOCBD","t8gj7n24qd","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"⇑⪆-210442234","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4044","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=4044, right_input=1553, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2884","layer":3},{"info":"number node, value=1749","layer":4},{"info":"number node, value=3711","layer":4},{"info":"compute binary expreesion, left_input=1749, right_input=3711, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3498","layer":3},{"info":"compute binary expreesion, left_input=2884, right_input=3498, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-436913","layer":2},{"info":"compute unary expreesion, input=-436913, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=437347","layer":1},{"info":"compute unary expreesion, input=437347, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-874694","layer":0}],"base":5,"result_base":5,"text":"(⇤←⇑⪆112134↼⊘⨖⇑⪆22203⪄⇑⪆23444⨸⇑⪆104321)⨝⩣∺=⇑⪆-210442234","reverse_text":"⇑⪆-210442234=(⇤←⇑⪆112134↼⊘⨖⇑⪆22203⪄⇑⪆23444⨸⇑⪆104321)⨝⩣∺","cot":[{"info":"⇑⪆112134↼⊘⨖⇑⪆22203=⇑⪆43014","layer":3},{"info":"⇑⪆23444⨸⇑⪆104321=⇑⪆102443","layer":3},{"info":"⇑⪆43014⪄⇑⪆102443=⇑⪆-102440123","layer":2},{"info":"⇤←⇑⪆-102440123=⇑⪆102443342","layer":1},{"info":"⇑⪆102443342⨝⩣∺=⇑⪆-210442234","layer":0}]}
{"id":660,"expression_no_base_symbol":"((↴⪽⋼$8136$≳⇉$5271$)⩺⪪(⋂$2036$)⨸($8213$+⇶⊼$1991$))≒∊(($2552$⪎⩰)⋭≵$8155$↬$1745$)∊∟⩊($5549$⇍⊗$3358$⇌⫙⪟(⪁⇼$1709$))","expression":"((↴⪽⋼⇑⪆230021≳⇉⇑⪆132041)⩺⪪(⋂⇑⪆31121)⨸(⇑⪆230323+⇶⊼⇑⪆30431))≒∊((⇑⪆40202⪎⩰)⋭≵⇑⪆230110↬⇑⪆23440)∊∟⩊(⇑⪆134144⇍⊗⇑⪆101413⇌⫙⪟(⪁⇼⇑⪆23314))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":317889505,"operation_count":14,"complexity_ratio":22706393.214285713,"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":8136,"base":5},"right_expr":{"type":"numeric_atoms","value":5271,"base":5}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":2036,"base":5}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":8213,"base":5},"right_expr":{"type":"numeric_atoms","value":1991,"base":5}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":2552,"base":5}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":8155,"base":5},"right_expr":{"type":"numeric_atoms","value":1745,"base":5}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":5549,"base":5},"right_expr":{"type":"numeric_atoms","value":3358,"base":5}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1709,"base":5}}}}},"used_operators":["5KTvxBwnZo","uvdQJvN4PV","5TUYCnJO6w","V0kx6qeWkN","KmoU8R5UQR","BUOGQAYlQx","TpPTUOHfaN","ddLRYrp01A","jBncVCNhdl","2ufhKmSs5H","B5M0gjZbta","AFVx7xoS7T","5uvYHDjeKN","ZNVVrZ94lY"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","AHs5Up7iyr","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","rGHVDoGpnC","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8136","layer":4},{"info":"number node, value=5271","layer":4},{"info":"compute binary expreesion, left_input=8136, right_input=5271, 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 = 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=2036","layer":4},{"info":"compute unary expreesion, input=2036, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-27908","layer":3},{"info":"number node, value=8213","layer":4},{"info":"number node, value=1991","layer":4},{"info":"compute binary expreesion, left_input=8213, right_input=1991, 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=-27908, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"number node, value=2552","layer":4},{"info":"compute unary expreesion, input=2552, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"number node, value=8155","layer":4},{"info":"number node, value=1745","layer":4},{"info":"compute binary expreesion, left_input=8155, right_input=1745, 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=-34, 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=102","layer":2},{"info":"number node, value=5549","layer":4},{"info":"number node, value=3358","layer":4},{"info":"compute binary expreesion, left_input=5549, right_input=3358, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=1709","layer":4},{"info":"compute unary expreesion, input=1709, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=422, 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=102, right_input=113, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((↴⪽⋼⇑⪆230021≳⇉⇑⪆132041)⩺⪪(⋂⇑⪆31121)⨸(⇑⪆230323+⇶⊼⇑⪆30431))≒∊((⇑⪆40202⪎⩰)⋭≵⇑⪆230110↬⇑⪆23440)∊∟⩊(⇑⪆134144⇍⊗⇑⪆101413⇌⫙⪟(⪁⇼⇑⪆23314))=NaN","reverse_text":"NaN=((↴⪽⋼⇑⪆230021≳⇉⇑⪆132041)⩺⪪(⋂⇑⪆31121)⨸(⇑⪆230323+⇶⊼⇑⪆30431))≒∊((⇑⪆40202⪎⩰)⋭≵⇑⪆230110↬⇑⪆23440)∊∟⩊(⇑⪆134144⇍⊗⇑⪆101413⇌⫙⪟(⪁⇼⇑⪆23314))","cot":[{"info":"⇑⪆230021≳⇉⇑⪆132041=NaN","layer":3},{"info":"↴⪽⋼NaN=NaN","layer":2},{"info":"⋂⇑⪆31121=⇑⪆-1343113","layer":3},{"info":"⇑⪆230323+⇶⊼⇑⪆30431=NaN","layer":3},{"info":"⇑⪆-1343113⨸NaN=NaN","layer":2},{"info":"NaN⩺⪪NaN=NaN","layer":1},{"info":"⇑⪆40202⪎⩰=⇑⪆-114","layer":3},{"info":"⇑⪆230110↬⇑⪆23440=NaN","layer":3},{"info":"⇑⪆-114⋭≵NaN=⇑⪆402","layer":2},{"info":"⇑⪆134144⇍⊗⇑⪆101413=⇑⪆-1434","layer":3},{"info":"⪁⇼⇑⪆23314=⇑⪆3142","layer":3},{"info":"⇑⪆-1434⇌⫙⪟⇑⪆3142=⇑⪆423","layer":2},{"info":"⇑⪆402∊∟⩊⇑⪆423=⇑⪆0","layer":1},{"info":"NaN≒∊⇑⪆0=NaN","layer":0}]}
{"id":661,"expression_no_base_symbol":"(↡(↥$2589$⪚$1233$))⫗⊷⫓((⪝⪂⫅$7427$⊋$3243$)+⪬∐($3403$⪶≀⋏$4018$)⊮⊟↴(↩⪖$1191$))","expression":"(↡(↥⇑⪆40324⪚⇑⪆14413))⫗⊷⫓((⪝⪂⫅⇑⪆214202⊋⇑⪆100433)+⪬∐(⇑⪆102103⪶≀⋏⇑⪆112033)⊮⊟↴(↩⪖⇑⪆14231))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9184,"operation_count":10,"complexity_ratio":918.4,"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":2589,"base":5},"right_expr":{"type":"numeric_atoms","value":1233,"base":5}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":7427,"base":5},"right_expr":{"type":"numeric_atoms","value":3243,"base":5}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3403,"base":5},"right_expr":{"type":"numeric_atoms","value":4018,"base":5}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1191,"base":5}}}}},"used_operators":["zashukvMKz","MXaNJeIAZ3","A8NUZmVepG","HrjLwUk87U","2GS7woTJqF","XTarYq4gQB","W4tP9CfskL","QDVgd2eftb","zR4jO40bMj","fG6uBQFnGz"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","g55IO6H4Gj","D4vGDi5EA2","9HNa5Wba9A","8w2t5hMYqp","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⇑⪆-1014","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2589","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=2589, right_input=1233, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=2356","layer":3},{"info":"compute unary expreesion, input=2356, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=10","layer":2},{"info":"compute unary expreesion, input=10, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=90","layer":1},{"info":"number node, value=7427","layer":4},{"info":"number node, value=3243","layer":4},{"info":"compute binary expreesion, left_input=7427, 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=106841900","layer":3},{"info":"compute unary expreesion, input=106841900, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-inf","layer":2},{"info":"number node, value=3403","layer":4},{"info":"number node, value=4018","layer":4},{"info":"compute binary expreesion, left_input=3403, right_input=4018, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-18477","layer":3},{"info":"number node, value=1191","layer":4},{"info":"compute unary expreesion, input=1191, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-10128","layer":3},{"info":"compute binary expreesion, left_input=-18477, right_input=-10128, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=340253","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=340253, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=90, right_input=inf, 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":5,"result_base":5,"text":"(↡(↥⇑⪆40324⪚⇑⪆14413))⫗⊷⫓((⪝⪂⫅⇑⪆214202⊋⇑⪆100433)+⪬∐(⇑⪆102103⪶≀⋏⇑⪆112033)⊮⊟↴(↩⪖⇑⪆14231))=⇑⪆-1014","reverse_text":"⇑⪆-1014=(↡(↥⇑⪆40324⪚⇑⪆14413))⫗⊷⫓((⪝⪂⫅⇑⪆214202⊋⇑⪆100433)+⪬∐(⇑⪆102103⪶≀⋏⇑⪆112033)⊮⊟↴(↩⪖⇑⪆14231))","cot":[{"info":"⇑⪆40324⪚⇑⪆14413=⇑⪆33411","layer":3},{"info":"↥⇑⪆33411=⇑⪆20","layer":2},{"info":"↡⇑⪆20=⇑⪆330","layer":1},{"info":"⇑⪆214202⊋⇑⪆100433=⇑⪆204322420100","layer":3},{"info":"⪝⪂⫅⇑⪆204322420100=-Inf","layer":2},{"info":"⇑⪆102103⪶≀⋏⇑⪆112033=⇑⪆-1042402","layer":3},{"info":"↩⪖⇑⪆14231=⇑⪆-311003","layer":3},{"info":"⇑⪆-1042402⊮⊟↴⇑⪆-311003=⇑⪆41342003","layer":2},{"info":"-Inf+⪬∐⇑⪆41342003=Inf","layer":1},{"info":"⇑⪆330⫗⊷⫓Inf=⇑⪆-1014","layer":0}]}
{"id":662,"expression_no_base_symbol":"(⫯(+⊝⨔($2503$⇗⋫)))∷($6723$⪔$4829$)≹⇙⪍($3558$⫲≸⪮$7436$)≀⫉($1155$⫁$7371$⫡⨏(⇺⋃$4449$))","expression":"(⫯(+⊝⨔(⇑⪆40003⇗⋫)))∷(⇑⪆203343⪔⇑⪆123304)≹⇙⪍(⇑⪆103213⫲≸⪮⇑⪆214221)≀⫉(⇑⪆14110⫁⇑⪆213441⫡⨏(⇺⋃⇑⪆120244))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8859,"operation_count":11,"complexity_ratio":805.3636363636364,"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":2503,"base":5}}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":6723,"base":5},"right_expr":{"type":"numeric_atoms","value":4829,"base":5}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":3558,"base":5},"right_expr":{"type":"numeric_atoms","value":7436,"base":5}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1155,"base":5},"right_expr":{"type":"numeric_atoms","value":7371,"base":5}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":4449,"base":5}}}}},"used_operators":["D3AQDKkPcf","H6BK1Evt7c","DhbWaqg5eL","hpqmaQFPrd","oZj3VtZNQx","AHs5Up7iyr","GjBEYRfMaF","P3lXMJvFrc","QMFrweE19q","0ajvFaJAv0","E5v5B3UAjG"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rxpJgHHUmx","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","dWAJyo7jo9","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2503","layer":4},{"info":"compute unary expreesion, input=2503, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute unary expreesion, input=1522, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-49136","layer":1},{"info":"number node, value=6723","layer":4},{"info":"number node, value=4829","layer":4},{"info":"compute binary expreesion, left_input=6723, right_input=4829, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=3558","layer":4},{"info":"number node, value=7436","layer":4},{"info":"compute binary expreesion, left_input=3558, right_input=7436, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3558","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=3558, 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=1155","layer":4},{"info":"number node, value=7371","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=7371, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=4449","layer":4},{"info":"compute unary expreesion, input=4449, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, 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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-49136, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⫯(+⊝⨔(⇑⪆40003⇗⋫)))∷(⇑⪆203343⪔⇑⪆123304)≹⇙⪍(⇑⪆103213⫲≸⪮⇑⪆214221)≀⫉(⇑⪆14110⫁⇑⪆213441⫡⨏(⇺⋃⇑⪆120244))=NaN","reverse_text":"NaN=(⫯(+⊝⨔(⇑⪆40003⇗⋫)))∷(⇑⪆203343⪔⇑⪆123304)≹⇙⪍(⇑⪆103213⫲≸⪮⇑⪆214221)≀⫉(⇑⪆14110⫁⇑⪆213441⫡⨏(⇺⋃⇑⪆120244))","cot":[{"info":"⇑⪆40003⇗⋫=NaN","layer":3},{"info":"+⊝⨔NaN=⇑⪆22042","layer":2},{"info":"⫯⇑⪆22042=⇑⪆-3033021","layer":1},{"info":"⇑⪆203343⪔⇑⪆123304=⇑⪆3300","layer":3},{"info":"⇑⪆103213⫲≸⪮⇑⪆214221=⇑⪆103213","layer":3},{"info":"⇑⪆3300≹⇙⪍⇑⪆103213=NaN","layer":2},{"info":"⇑⪆14110⫁⇑⪆213441=⇑⪆1120","layer":3},{"info":"⇺⋃⇑⪆120244=NaN","layer":3},{"info":"⇑⪆1120⫡⨏NaN=NaN","layer":2},{"info":"NaN≀⫉NaN=NaN","layer":1},{"info":"⇑⪆-3033021∷NaN=NaN","layer":0}]}
{"id":663,"expression_no_base_symbol":"((⇤←$1034$)∣($7867$⩟)≋⫹)⇂≾⫗(($4751$⊉↱≁$4637$⩷∴($1001$⋅⇍$1005$))⨑⩅≇(($2170$⨀⨒)≓∲$7821$⪢$7831$))","expression":"((⇤←⇑⪆13114)∣(⇑⪆222432⩟)≋⫹)⇂≾⫗((⇑⪆123001⊉↱≁⇑⪆122022⩷∴(⇑⪆13001⋅⇍⇑⪆13010))⨑⩅≇((⇑⪆32140⨀⨒)≓∲⇑⪆222241⪢⇑⪆222311))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8150,"operation_count":12,"complexity_ratio":679.1666666666666,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1034,"base":5}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":7867,"base":5}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":4751,"base":5},"right_expr":{"type":"numeric_atoms","value":4637,"base":5}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1001,"base":5},"right_expr":{"type":"numeric_atoms","value":1005,"base":5}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":2170,"base":5}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7821,"base":5},"right_expr":{"type":"numeric_atoms","value":7831,"base":5}}}}},"used_operators":["aBQ6xLxuTc","N41Kp7NANJ","PPChnnnBFF","jfAgQ2OQeM","fOIeswaMU4","h92wMvzauj","9FxExcQeMw","w2P8NbNXyL","AdZkA7nFnk","s1XTVnmDOJ","j6NVkjMzuk","dWAJyo7jo9"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1034","layer":4},{"info":"compute unary expreesion, input=1034, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-3804","layer":3},{"info":"number node, value=7867","layer":4},{"info":"compute unary expreesion, input=7867, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-69576","layer":3},{"info":"compute binary expreesion, left_input=-3804, right_input=-69576, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4288","layer":2},{"info":"compute unary expreesion, input=4288, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-8576","layer":1},{"info":"number node, value=4751","layer":4},{"info":"number node, value=4637","layer":4},{"info":"compute binary expreesion, left_input=4751, right_input=4637, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=19636","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1005, 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=19636, right_input=-22, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=39284","layer":2},{"info":"number node, value=2170","layer":4},{"info":"compute unary expreesion, input=2170, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=27112","layer":3},{"info":"number node, value=7821","layer":4},{"info":"number node, value=7831","layer":4},{"info":"compute binary expreesion, left_input=7821, right_input=7831, 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=27112, 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":"compute binary expreesion, left_input=39284, 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 binary expreesion, left_input=-8576, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇤←⇑⪆13114)∣(⇑⪆222432⩟)≋⫹)⇂≾⫗((⇑⪆123001⊉↱≁⇑⪆122022⩷∴(⇑⪆13001⋅⇍⇑⪆13010))⨑⩅≇((⇑⪆32140⨀⨒)≓∲⇑⪆222241⪢⇑⪆222311))=NaN","reverse_text":"NaN=((⇤←⇑⪆13114)∣(⇑⪆222432⩟)≋⫹)⇂≾⫗((⇑⪆123001⊉↱≁⇑⪆122022⩷∴(⇑⪆13001⋅⇍⇑⪆13010))⨑⩅≇((⇑⪆32140⨀⨒)≓∲⇑⪆222241⪢⇑⪆222311))","cot":[{"info":"⇤←⇑⪆13114=⇑⪆-110204","layer":3},{"info":"⇑⪆222432⩟=⇑⪆-4211301","layer":3},{"info":"⇑⪆-110204∣⇑⪆-4211301=⇑⪆114123","layer":2},{"info":"⇑⪆114123≋⫹=⇑⪆-233301","layer":1},{"info":"⇑⪆123001⊉↱≁⇑⪆122022=⇑⪆1112021","layer":3},{"info":"⇑⪆13001⋅⇍⇑⪆13010=⇑⪆-42","layer":3},{"info":"⇑⪆1112021⩷∴⇑⪆-42=⇑⪆2224114","layer":2},{"info":"⇑⪆32140⨀⨒=⇑⪆1331422","layer":3},{"info":"⇑⪆222241⪢⇑⪆222311=NaN","layer":3},{"info":"⇑⪆1331422≓∲NaN=NaN","layer":2},{"info":"⇑⪆2224114⨑⩅≇NaN=NaN","layer":1},{"info":"⇑⪆-233301⇂≾⫗NaN=NaN","layer":0}]}
{"id":664,"expression_no_base_symbol":"(⇙⪊($1558$≥⨤⩑$3180$))≁↽≥(($4777$⊪)⪒$3266$⇍⊗$5377$)⫘($2446$∌↝$1961$⋻⩜⩜(-$1026$)⋷$6804$⊕∕$2602$∛$3162$⊢$1609$)","expression":"(⇙⪊(⇑⪆22213≥⨤⩑⇑⪆100210))≁↽≥((⇑⪆123102⊪)⪒⇑⪆101031⇍⊗⇑⪆133002)⫘(⇑⪆34241∌↝⇑⪆30321⋻⩜⩜(-⇑⪆13101)⋷⇑⪆204204⊕∕⇑⪆40402∛⇑⪆100122⊢⇑⪆22414)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":24152,"operation_count":14,"complexity_ratio":1725.142857142857,"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":1558,"base":5},"right_expr":{"type":"numeric_atoms","value":3180,"base":5}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4777,"base":5}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3266,"base":5},"right_expr":{"type":"numeric_atoms","value":5377,"base":5}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2446,"base":5},"right_expr":{"type":"numeric_atoms","value":1961,"base":5}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1026,"base":5}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":6804,"base":5},"right_expr":{"type":"numeric_atoms","value":2602,"base":5}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3162,"base":5},"right_expr":{"type":"numeric_atoms","value":1609,"base":5}}}}},"used_operators":["48vC8HMD2b","ncHt1X6cMc","pB6Fcnrjim","gJLn6v0xnP","f6k1SAg4EE","zVYPLywUTj","5uvYHDjeKN","23Mk6UjR3U","oDCm7WA9JY","9Isq31Ruls","t8gj7n24qd","w2537kitQq","9cloC0Ngie","5twsqlHp2o"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","oWn0xqSxBt","3Oe9XWJUTD","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"⇑⪆10304211221","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1558","layer":4},{"info":"number node, value=3180","layer":4},{"info":"compute binary expreesion, left_input=1558, right_input=3180, 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 = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=4777","layer":4},{"info":"compute unary expreesion, input=4777, 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=3266","layer":4},{"info":"number node, value=5377","layer":4},{"info":"compute binary expreesion, left_input=3266, right_input=5377, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=244","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=244, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=9356","layer":1},{"info":"number node, value=2446","layer":4},{"info":"number node, value=1961","layer":4},{"info":"compute binary expreesion, left_input=2446, right_input=1961, 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=1026","layer":4},{"info":"compute unary expreesion, input=1026, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1026","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1026, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=0","layer":2},{"info":"number node, value=6804","layer":4},{"info":"number node, value=2602","layer":4},{"info":"compute binary expreesion, left_input=6804, right_input=2602, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=6804","layer":3},{"info":"number node, value=3162","layer":4},{"info":"number node, value=1609","layer":4},{"info":"compute binary expreesion, left_input=3162, right_input=1609, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-6568","layer":3},{"info":"compute binary expreesion, left_input=6804, right_input=-6568, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=9356, right_input=0, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=11007061","layer":0}],"base":5,"result_base":5,"text":"(⇙⪊(⇑⪆22213≥⨤⩑⇑⪆100210))≁↽≥((⇑⪆123102⊪)⪒⇑⪆101031⇍⊗⇑⪆133002)⫘(⇑⪆34241∌↝⇑⪆30321⋻⩜⩜(-⇑⪆13101)⋷⇑⪆204204⊕∕⇑⪆40402∛⇑⪆100122⊢⇑⪆22414)=⇑⪆10304211221","reverse_text":"⇑⪆10304211221=(⇙⪊(⇑⪆22213≥⨤⩑⇑⪆100210))≁↽≥((⇑⪆123102⊪)⪒⇑⪆101031⇍⊗⇑⪆133002)⫘(⇑⪆34241∌↝⇑⪆30321⋻⩜⩜(-⇑⪆13101)⋷⇑⪆204204⊕∕⇑⪆40402∛⇑⪆100122⊢⇑⪆22414)","cot":[{"info":"⇑⪆22213≥⨤⩑⇑⪆100210=⇑⪆14414","layer":3},{"info":"⇙⪊⇑⪆14414=⇑⪆0","layer":2},{"info":"⇑⪆123102⊪=⇑⪆0","layer":3},{"info":"⇑⪆101031⇍⊗⇑⪆133002=⇑⪆-1434","layer":3},{"info":"⇑⪆0⪒⇑⪆-1434=⇑⪆1434","layer":2},{"info":"⇑⪆0≁↽≥⇑⪆1434=⇑⪆244411","layer":1},{"info":"⇑⪆34241∌↝⇑⪆30321=⇑⪆0","layer":3},{"info":"-⇑⪆13101=⇑⪆-13101","layer":3},{"info":"⇑⪆0⋻⩜⩜⇑⪆-13101=⇑⪆0","layer":2},{"info":"⇑⪆204204⊕∕⇑⪆40402=⇑⪆204204","layer":3},{"info":"⇑⪆100122⊢⇑⪆22414=⇑⪆-202233","layer":3},{"info":"⇑⪆204204∛⇑⪆-202233=⇑⪆232","layer":2},{"info":"⇑⪆0⋷⇑⪆232=⇑⪆0","layer":1},{"info":"⇑⪆244411⫘⇑⪆0=⇑⪆10304211221","layer":0}]}
{"id":665,"expression_no_base_symbol":"(($8588$⪚$5782$⋾⨃∁$2594$⋛$3806$)⨚(($1377$⊋≦⊧$1067$)⪍↜⋙$1008$⋣⋖$2388$))⊬⨰(⇵⪽(($1557$↙$1005$)⋕⪉⪜($2133$/$3397$)))","expression":"((⇑⪆233323⪚⇑⪆141112⋾⨃∁⇑⪆40334⋛⇑⪆110211)⨚((⇑⪆21002⊋≦⊧⇑⪆13232)⪍↜⋙⇑⪆13013⋣⋖⇑⪆34023))⊬⨰(⇵⪽((⇑⪆22212↙⇑⪆13010)⋕⪉⪜(⇑⪆32013/⇑⪆102042)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":151875,"operation_count":12,"complexity_ratio":12656.25,"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":8588,"base":5},"right_expr":{"type":"numeric_atoms","value":5782,"base":5}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2594,"base":5},"right_expr":{"type":"numeric_atoms","value":3806,"base":5}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1377,"base":5},"right_expr":{"type":"numeric_atoms","value":1067,"base":5}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1008,"base":5},"right_expr":{"type":"numeric_atoms","value":2388,"base":5}}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1557,"base":5},"right_expr":{"type":"numeric_atoms","value":1005,"base":5}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2133,"base":5},"right_expr":{"type":"numeric_atoms","value":3397,"base":5}}}}},"used_operators":["s3Fd5m9Dh2","nREPSIbpBE","212REbPD9h","HrjLwUk87U","YbUVn0Rbpy","L05ObWFQCd","oRDoc9rAEX","J0M6qkBnIM","ZGCBLdVRRX","z6LnFrNh4i","yyfyN0ffXY","XhwjNDsVaA"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","BjRHVeLaeN","12rbrZMWeM","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","U7g4x0WXJJ","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8588","layer":4},{"info":"number node, value=5782","layer":4},{"info":"compute binary expreesion, left_input=8588, right_input=5782, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=5256","layer":3},{"info":"number node, value=2594","layer":4},{"info":"number node, value=3806","layer":4},{"info":"compute binary expreesion, left_input=2594, right_input=3806, 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=-108846","layer":3},{"info":"compute binary expreesion, left_input=5256, right_input=-108846, 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=1377","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=1067, 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=-1894","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=2388","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=2388, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1008","layer":3},{"info":"compute binary expreesion, left_input=-1894, right_input=1008, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=6671","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6671, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"number node, value=1557","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1557, right_input=1005, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3015","layer":3},{"info":"number node, value=2133","layer":4},{"info":"number node, value=3397","layer":4},{"info":"compute binary expreesion, left_input=2133, right_input=3397, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3015, right_input=0, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute unary expreesion, input=204, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆233323⪚⇑⪆141112⋾⨃∁⇑⪆40334⋛⇑⪆110211)⨚((⇑⪆21002⊋≦⊧⇑⪆13232)⪍↜⋙⇑⪆13013⋣⋖⇑⪆34023))⊬⨰(⇵⪽((⇑⪆22212↙⇑⪆13010)⋕⪉⪜(⇑⪆32013/⇑⪆102042)))=NaN","reverse_text":"NaN=((⇑⪆233323⪚⇑⪆141112⋾⨃∁⇑⪆40334⋛⇑⪆110211)⨚((⇑⪆21002⊋≦⊧⇑⪆13232)⪍↜⋙⇑⪆13013⋣⋖⇑⪆34023))⊬⨰(⇵⪽((⇑⪆22212↙⇑⪆13010)⋕⪉⪜(⇑⪆32013/⇑⪆102042)))","cot":[{"info":"⇑⪆233323⪚⇑⪆141112=⇑⪆132011","layer":3},{"info":"⇑⪆40334⋛⇑⪆110211=⇑⪆-11440341","layer":3},{"info":"⇑⪆132011⋾⨃∁⇑⪆-11440341=NaN","layer":2},{"info":"⇑⪆21002⊋≦⊧⇑⪆13232=⇑⪆-30034","layer":3},{"info":"⇑⪆13013⋣⋖⇑⪆34023=⇑⪆13013","layer":3},{"info":"⇑⪆-30034⪍↜⋙⇑⪆13013=⇑⪆203141","layer":2},{"info":"NaN⨚⇑⪆203141=NaN","layer":1},{"info":"⇑⪆22212↙⇑⪆13010=⇑⪆-44030","layer":3},{"info":"⇑⪆32013/⇑⪆102042=⇑⪆0","layer":3},{"info":"⇑⪆-44030⋕⪉⪜⇑⪆0=⇑⪆1304","layer":2},{"info":"⇵⪽⇑⪆1304=NaN","layer":1},{"info":"NaN⊬⨰NaN=NaN","layer":0}]}
{"id":666,"expression_no_base_symbol":"(($1100$⋳⪒$4446$)⨓$2698$⩁⩘$9372$)⫁(($3925$⊋$5230$)⪚$3868$≁↽≥$1275$)⋷(⨑⩽⪐$5874$)⋥⋵⩄$4669$⋹⋡⊁$1579$∷$2793$⪃⊛⇣$1371$⪔⊥(≀↧⇸$1604$)","expression":"((⇑⪆13400⋳⪒⇑⪆120241)⨓⇑⪆41243⩁⩘⇑⪆244442)⫁((⇑⪆111200⊋⇑⪆131410)⪚⇑⪆110433≁↽≥⇑⪆20100)⋷(⨑⩽⪐⇑⪆141444)⋥⋵⩄⇑⪆122134⋹⋡⊁⇑⪆22304∷⇑⪆42133⪃⊛⇣⇑⪆20441⪔⊥(≀↧⇸⇑⪆22404)","highest_n_order":4,"priority_hierarchical_complexity":15,"normalized_expansion_degree":104339,"operation_count":15,"complexity_ratio":6955.933333333333,"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":1100,"base":5},"right_expr":{"type":"numeric_atoms","value":4446,"base":5}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2698,"base":5},"right_expr":{"type":"numeric_atoms","value":9372,"base":5}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3925,"base":5},"right_expr":{"type":"numeric_atoms","value":5230,"base":5}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3868,"base":5},"right_expr":{"type":"numeric_atoms","value":1275,"base":5}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5874,"base":5}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4669,"base":5},"right_expr":{"type":"numeric_atoms","value":1579,"base":5}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2793,"base":5},"right_expr":{"type":"numeric_atoms","value":1371,"base":5}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1604,"base":5}}}}},"used_operators":["23Mk6UjR3U","0ajvFaJAv0","3ViojmjbAp","12rbrZMWeM","gub5Cegaqo","HrjLwUk87U","W4tP9CfskL","ncHt1X6cMc","D3AQDKkPcf","7t3wd0Fuz7","AF7qkfDlqP","As8RqfVLgs","HJ9erzHUuu","rrgAzCduG9","ljTHtUsqzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","NTOWxs364D","7j4O788W3g","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","XPYlsWDdGa","23Mk6UjR3U"],"result":"⇑⪆-2240","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1100","layer":4},{"info":"number node, value=4446","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=4446, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2533","layer":3},{"info":"number node, value=2698","layer":4},{"info":"number node, value=9372","layer":4},{"info":"compute binary expreesion, left_input=2698, right_input=9372, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=38436","layer":3},{"info":"compute binary expreesion, left_input=-2533, right_input=38436, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-38439","layer":2},{"info":"number node, value=3925","layer":4},{"info":"number node, value=5230","layer":4},{"info":"compute binary expreesion, left_input=3925, right_input=5230, 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=-52154136","layer":3},{"info":"number node, value=3868","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=3868, right_input=1275, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=57578","layer":3},{"info":"compute binary expreesion, left_input=-52154136, right_input=57578, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=104307396","layer":2},{"info":"compute binary expreesion, left_input=-38439, right_input=104307396, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=5874","layer":4},{"info":"compute unary expreesion, input=5874, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5601","layer":3},{"info":"number node, value=4669","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=4669, right_input=1579, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2329","layer":3},{"info":"compute binary expreesion, left_input=-5601, right_input=2329, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"number node, value=2793","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=2793, right_input=1371, 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=1604","layer":4},{"info":"compute unary expreesion, input=1604, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=3208","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=3208, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-1679","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-1679, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-907","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-907, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-320","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆13400⋳⪒⇑⪆120241)⨓⇑⪆41243⩁⩘⇑⪆244442)⫁((⇑⪆111200⊋⇑⪆131410)⪚⇑⪆110433≁↽≥⇑⪆20100)⋷(⨑⩽⪐⇑⪆141444)⋥⋵⩄⇑⪆122134⋹⋡⊁⇑⪆22304∷⇑⪆42133⪃⊛⇣⇑⪆20441⪔⊥(≀↧⇸⇑⪆22404)=⇑⪆-2240","reverse_text":"⇑⪆-2240=((⇑⪆13400⋳⪒⇑⪆120241)⨓⇑⪆41243⩁⩘⇑⪆244442)⫁((⇑⪆111200⊋⇑⪆131410)⪚⇑⪆110433≁↽≥⇑⪆20100)⋷(⨑⩽⪐⇑⪆141444)⋥⋵⩄⇑⪆122134⋹⋡⊁⇑⪆22304∷⇑⪆42133⪃⊛⇣⇑⪆20441⪔⊥(≀↧⇸⇑⪆22404)","cot":[{"info":"⇑⪆13400⋳⪒⇑⪆120241=⇑⪆-40113","layer":3},{"info":"⇑⪆41243⩁⩘⇑⪆244442=⇑⪆2212221","layer":3},{"info":"⇑⪆-40113⨓⇑⪆2212221=⇑⪆-2212224","layer":2},{"info":"⇑⪆111200⊋⇑⪆131410=⇑⪆-101322413021","layer":3},{"info":"⇑⪆110433≁↽≥⇑⪆20100=⇑⪆3320303","layer":3},{"info":"⇑⪆-101322413021⪚⇑⪆3320303=⇑⪆203200314041","layer":2},{"info":"⇑⪆-2212224⫁⇑⪆203200314041=⇑⪆1120","layer":1},{"info":"⨑⩽⪐⇑⪆141444=⇑⪆-134401","layer":3},{"info":"⇑⪆122134⋹⋡⊁⇑⪆22304=⇑⪆33304","layer":3},{"info":"⇑⪆-134401⋥⋵⩄⇑⪆33304=⇑⪆423","layer":2},{"info":"⇑⪆42133⪃⊛⇣⇑⪆20441=⇑⪆14414","layer":3},{"info":"≀↧⇸⇑⪆22404=⇑⪆100313","layer":3},{"info":"⇑⪆14414⪔⊥⇑⪆100313=⇑⪆-23204","layer":2},{"info":"⇑⪆423∷⇑⪆-23204=⇑⪆-12112","layer":1},{"info":"⇑⪆1120⋷⇑⪆-12112=⇑⪆-2240","layer":0}]}
{"id":667,"expression_no_base_symbol":"⇜((∓⪦($2826$∑⇟⊟$8210$))⪒(⩷($2228$⋝⋈⪟$2696$)))","expression":"⇜((∓⪦(⇑⪆42301∑⇟⊟⇑⪆230320))⪒(⩷(⇑⪆32403⋝⋈⪟⇑⪆41241)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":986,"operation_count":6,"complexity_ratio":164.33333333333334,"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":2826,"base":5},"right_expr":{"type":"numeric_atoms","value":8210,"base":5}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2228,"base":5},"right_expr":{"type":"numeric_atoms","value":2696,"base":5}}}}},"used_operators":["lFBm8KRb8F","f6k1SAg4EE","D309nIvmXG","U7g4x0WXJJ","1h0rLqGiFr","2DDjHMKMc0"],"dependent_operators":["s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2826","layer":4},{"info":"number node, value=8210","layer":4},{"info":"compute binary expreesion, left_input=2826, right_input=8210, 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 = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=nan","layer":2},{"info":"number node, value=2228","layer":4},{"info":"number node, value=2696","layer":4},{"info":"compute binary expreesion, left_input=2228, right_input=2696, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2228","layer":3},{"info":"compute unary expreesion, input=2228, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-26815","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-26815, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"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":0}],"base":5,"result_base":5,"text":"⇜((∓⪦(⇑⪆42301∑⇟⊟⇑⪆230320))⪒(⩷(⇑⪆32403⋝⋈⪟⇑⪆41241)))=NaN","reverse_text":"NaN=⇜((∓⪦(⇑⪆42301∑⇟⊟⇑⪆230320))⪒(⩷(⇑⪆32403⋝⋈⪟⇑⪆41241)))","cot":[{"info":"⇑⪆42301∑⇟⊟⇑⪆230320=NaN","layer":3},{"info":"∓⪦NaN=NaN","layer":2},{"info":"⇑⪆32403⋝⋈⪟⇑⪆41241=⇑⪆32403","layer":3},{"info":"⩷⇑⪆32403=⇑⪆-1324230","layer":2},{"info":"NaN⪒⇑⪆-1324230=NaN","layer":1},{"info":"⇜NaN=NaN","layer":0}]}
{"id":668,"expression_no_base_symbol":"(($1408$⇣⩺⋵$1700$)⪪($1122$↡⊰⫅$2837$)↡⊰⫅($4532$⇣⩺⋵$3096$)⨼⩣($3132$%$1382$))⋕⪉⪜((($4726$⊎←↗)⪗)⫽⇹≛)","expression":"((⇑⪆21113⇣⩺⋵⇑⪆23300)⪪(⇑⪆13442↡⊰⫅⇑⪆42322)↡⊰⫅(⇑⪆121112⇣⩺⋵⇑⪆44341)⨼⩣(⇑⪆100012%⇑⪆21012))⋕⪉⪜(((⇑⪆122401⊎←↗)⪗)⫽⇹≛)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":49413,"operation_count":11,"complexity_ratio":4492.090909090909,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1408,"base":5},"right_expr":{"type":"numeric_atoms","value":1700,"base":5}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1122,"base":5},"right_expr":{"type":"numeric_atoms","value":2837,"base":5}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":4532,"base":5},"right_expr":{"type":"numeric_atoms","value":3096,"base":5}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3132,"base":5},"right_expr":{"type":"numeric_atoms","value":1382,"base":5}}}},"right_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":4726,"base":5}}}}},"used_operators":["z6LnFrNh4i","VCtxkLNOzz","xD69zh8xqp","F4yD0voBRQ","JxwMv5le6e","k8jYdgA6NY","NNaDxxp6OQ","VEQNXA0ZBg","dwb5p0fa6d"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","FU0Cs4j7VP","JclMnS0uGI","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","rysDP5nf3Z","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","dWAJyo7jo9","sdazOOVcIp","COABgblf1C"],"result":"⇑⪆1304","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1408","layer":4},{"info":"number node, value=1700","layer":4},{"info":"compute binary expreesion, left_input=1408, right_input=1700, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1122","layer":4},{"info":"number node, value=2837","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=2837, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5674","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=5674, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"number node, value=4532","layer":4},{"info":"number node, value=3096","layer":4},{"info":"compute binary expreesion, left_input=4532, right_input=3096, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=3132","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=3132, right_input=1382, op_id = k8jYdgA6NY binary_op_definition= 'None', output=368","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=368, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6206, 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=4726","layer":4},{"info":"compute unary expreesion, input=4726, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-8767","layer":3},{"info":"compute unary expreesion, input=-8767, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(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":5,"result_base":5,"text":"((⇑⪆21113⇣⩺⋵⇑⪆23300)⪪(⇑⪆13442↡⊰⫅⇑⪆42322)↡⊰⫅(⇑⪆121112⇣⩺⋵⇑⪆44341)⨼⩣(⇑⪆100012%⇑⪆21012))⋕⪉⪜(((⇑⪆122401⊎←↗)⪗)⫽⇹≛)=⇑⪆1304","reverse_text":"⇑⪆1304=((⇑⪆21113⇣⩺⋵⇑⪆23300)⪪(⇑⪆13442↡⊰⫅⇑⪆42322)↡⊰⫅(⇑⪆121112⇣⩺⋵⇑⪆44341)⨼⩣(⇑⪆100012%⇑⪆21012))⋕⪉⪜(((⇑⪆122401⊎←↗)⪗)⫽⇹≛)","cot":[{"info":"⇑⪆21113⇣⩺⋵⇑⪆23300=⇑⪆-2020","layer":3},{"info":"⇑⪆13442↡⊰⫅⇑⪆42322=⇑⪆140144","layer":3},{"info":"⇑⪆-2020⪪⇑⪆140144=⇑⪆-144311","layer":2},{"info":"⇑⪆121112⇣⩺⋵⇑⪆44341=⇑⪆-2020","layer":3},{"info":"⇑⪆100012%⇑⪆21012=⇑⪆2433","layer":3},{"info":"⇑⪆-2020⨼⩣⇑⪆2433=NaN","layer":2},{"info":"⇑⪆-144311↡⊰⫅NaN=NaN","layer":1},{"info":"⇑⪆122401⊎←↗=⇑⪆-240032","layer":3},{"info":"⇑⪆-240032⪗=NaN","layer":2},{"info":"NaN⫽⇹≛=NaN","layer":1},{"info":"NaN⋕⪉⪜NaN=⇑⪆1304","layer":0}]}
{"id":669,"expression_no_base_symbol":"(→⩰($1097$⪄$5828$)∣($2643$⪨≂$1136$))⪔(∥⊫$2221$≥⨤⩑$3891$⨎$6347$⊴$3651$)","expression":"(→⩰(⇑⪆13342⪄⇑⪆141303)∣(⇑⪆41033⪨≂⇑⪆14021))⪔(∥⊫⇑⪆32341≥⨤⩑⇑⪆111031⨎⇑⪆200342⊴⇑⪆104101)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":186780,"operation_count":9,"complexity_ratio":20753.333333333332,"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":1097,"base":5},"right_expr":{"type":"numeric_atoms","value":5828,"base":5}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2643,"base":5},"right_expr":{"type":"numeric_atoms","value":1136,"base":5}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2221,"base":5},"right_expr":{"type":"numeric_atoms","value":3891,"base":5}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6347,"base":5},"right_expr":{"type":"numeric_atoms","value":3651,"base":5}}}}},"used_operators":["GjBEYRfMaF","o8Pngz0Tml","PPChnnnBFF","SUmda5xLS4","sdazOOVcIp","P8v4zCKN1o","rJVOvQCfKK","gJLn6v0xnP","Nsiff2A1zJ"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1097","layer":4},{"info":"number node, value=5828","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=5828, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-181757","layer":3},{"info":"number node, value=2643","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=2643, right_input=1136, 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=3116","layer":3},{"info":"compute binary expreesion, left_input=-181757, right_input=3116, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-181757","layer":2},{"info":"compute unary expreesion, input=-181757, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"number node, value=2221","layer":4},{"info":"number node, value=3891","layer":4},{"info":"compute binary expreesion, left_input=2221, right_input=3891, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=6347","layer":4},{"info":"number node, value=3651","layer":4},{"info":"compute binary expreesion, left_input=6347, right_input=3651, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute 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=nan, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(→⩰(⇑⪆13342⪄⇑⪆141303)∣(⇑⪆41033⪨≂⇑⪆14021))⪔(∥⊫⇑⪆32341≥⨤⩑⇑⪆111031⨎⇑⪆200342⊴⇑⪆104101)=NaN","reverse_text":"NaN=(→⩰(⇑⪆13342⪄⇑⪆141303)∣(⇑⪆41033⪨≂⇑⪆14021))⪔(∥⊫⇑⪆32341≥⨤⩑⇑⪆111031⨎⇑⪆200342⊴⇑⪆104101)","cot":[{"info":"⇑⪆13342⪄⇑⪆141303=⇑⪆-21304012","layer":3},{"info":"⇑⪆41033⪨≂⇑⪆14021=⇑⪆44431","layer":3},{"info":"⇑⪆-21304012∣⇑⪆44431=⇑⪆-21304012","layer":2},{"info":"→⩰⇑⪆-21304012=NaN","layer":1},{"info":"⇑⪆32341≥⨤⩑⇑⪆111031=⇑⪆14414","layer":3},{"info":"⇑⪆200342⊴⇑⪆104101=NaN","layer":3},{"info":"⇑⪆14414⨎NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"NaN⪔NaN=NaN","layer":0}]}
{"id":670,"expression_no_base_symbol":"(⫡⇟⇯(⇘$1601$)→⨶⪴$4336$⪎↠$5417$)⩎⪣⊞","expression":"(⫡⇟⇯(⇘⇑⪆22401)→⨶⪴⇑⪆114321⪎↠⇑⪆133132)⩎⪣⊞","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":22147,"operation_count":5,"complexity_ratio":4429.4,"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":1601,"base":5}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":4336,"base":5},"right_expr":{"type":"numeric_atoms","value":5417,"base":5}}}}},"used_operators":["waWucp1uQ4","qWUSsah53b","bF6eod5Gvf","MGuIdZPyUC","3tVxb0NHM4"],"dependent_operators":["mp7IySMOzn","DZ8iAZOCBD","P8v4zCKN1o","8w2t5hMYqp","9FxExcQeMw","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"⇑⪆41241","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1601","layer":4},{"info":"compute unary expreesion, input=1601, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=90442","layer":3},{"info":"number node, value=4336","layer":4},{"info":"number node, value=5417","layer":4},{"info":"compute binary expreesion, left_input=4336, right_input=5417, 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=90442, right_input=160, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-480","layer":2},{"info":"compute unary expreesion, input=-480, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=1348","layer":1},{"info":"compute unary expreesion, input=1348, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=2696","layer":0}],"base":5,"result_base":5,"text":"(⫡⇟⇯(⇘⇑⪆22401)→⨶⪴⇑⪆114321⪎↠⇑⪆133132)⩎⪣⊞=⇑⪆41241","reverse_text":"⇑⪆41241=(⫡⇟⇯(⇘⇑⪆22401)→⨶⪴⇑⪆114321⪎↠⇑⪆133132)⩎⪣⊞","cot":[{"info":"⇘⇑⪆22401=⇑⪆10343232","layer":3},{"info":"⇑⪆114321⪎↠⇑⪆133132=⇑⪆1120","layer":3},{"info":"⇑⪆10343232→⨶⪴⇑⪆1120=⇑⪆-3410","layer":2},{"info":"⫡⇟⇯⇑⪆-3410=⇑⪆20343","layer":1},{"info":"⇑⪆20343⩎⪣⊞=⇑⪆41241","layer":0}]}
{"id":671,"expression_no_base_symbol":"⇖($2343$⊢$6356$⫉⨲⊜(⇵⪽$1638$)∌↝((↘$2633$)⪶≀⋏($1097$⩚⊴⇥$7830$)))","expression":"⇖(⇑⪆33333⊢⇑⪆200411⫉⨲⊜(⇵⪽⇑⪆23023)∌↝((↘⇑⪆41013)⪶≀⋏(⇑⪆13342⩚⊴⇥⇑⪆222310)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14872,"operation_count":8,"complexity_ratio":1859.0,"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":2343,"base":5},"right_expr":{"type":"numeric_atoms","value":6356,"base":5}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":1638,"base":5}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2633,"base":5}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1097,"base":5},"right_expr":{"type":"numeric_atoms","value":7830,"base":5}}}}},"used_operators":["tfWHHpNKUN","9Isq31Ruls","WhqkvtTD3t","5twsqlHp2o","ZGCBLdVRRX","zR4jO40bMj","LdNpr8hQHL","NTOWxs364D"],"dependent_operators":["2DQ55sFlQl","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","eewbuw0ToL","zVYPLywUTj","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","U7g4x0WXJJ","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","uFcxV4UQCh","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⇑⪆1120","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2343","layer":4},{"info":"number node, value=6356","layer":4},{"info":"compute binary expreesion, left_input=2343, right_input=6356, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4930","layer":3},{"info":"number node, value=1638","layer":4},{"info":"compute unary expreesion, input=1638, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4930, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=243621302","layer":2},{"info":"number node, value=2633","layer":4},{"info":"compute unary expreesion, input=2633, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=281","layer":3},{"info":"number node, value=1097","layer":4},{"info":"number node, value=7830","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=7830, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9048","layer":3},{"info":"compute binary expreesion, left_input=281, right_input=-9048, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=8375","layer":2},{"info":"compute binary expreesion, left_input=243621302, right_input=8375, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":0}],"base":5,"result_base":5,"text":"⇖(⇑⪆33333⊢⇑⪆200411⫉⨲⊜(⇵⪽⇑⪆23023)∌↝((↘⇑⪆41013)⪶≀⋏(⇑⪆13342⩚⊴⇥⇑⪆222310)))=⇑⪆1120","reverse_text":"⇑⪆1120=⇖(⇑⪆33333⊢⇑⪆200411⫉⨲⊜(⇵⪽⇑⪆23023)∌↝((↘⇑⪆41013)⪶≀⋏(⇑⪆13342⩚⊴⇥⇑⪆222310)))","cot":[{"info":"⇑⪆33333⊢⇑⪆200411=⇑⪆-124210","layer":3},{"info":"⇵⪽⇑⪆23023=NaN","layer":3},{"info":"⇑⪆-124210⫉⨲⊜NaN=⇑⪆444331340202","layer":2},{"info":"↘⇑⪆41013=⇑⪆2111","layer":3},{"info":"⇑⪆13342⩚⊴⇥⇑⪆222310=⇑⪆-242143","layer":3},{"info":"⇑⪆2111⪶≀⋏⇑⪆-242143=⇑⪆232000","layer":2},{"info":"⇑⪆444331340202∌↝⇑⪆232000=⇑⪆0","layer":1},{"info":"⇖⇑⪆0=⇑⪆1120","layer":0}]}
{"id":672,"expression_no_base_symbol":"($1574$⪭≯$1256$+($4584$⩺⋐⫨))⫯⪬∳(∂$1645$↹⊜$8352$)⋻⩜⩜(⇙⪊(⪨⨬(↽≂$1965$)))","expression":"(⇑⪆22244⪭≯⇑⪆20011+(⇑⪆121314⩺⋐⫨))⫯⪬∳(∂⇑⪆23040↹⊜⇑⪆231402)⋻⩜⩜(⇙⪊(⪨⨬(↽≂⇑⪆30330)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1233,"operation_count":10,"complexity_ratio":123.3,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1574,"base":5},"right_expr":{"type":"numeric_atoms","value":1256,"base":5}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":4584,"base":5}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1645,"base":5},"right_expr":{"type":"numeric_atoms","value":8352,"base":5}}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1965,"base":5}}}}},"used_operators":["oDCm7WA9JY","d7ASUq0ydm","W4YGzv6Whe","XAx5wpdLa6","yS9ePUuUdn","Uaa54Peajs","9bazX3JMtO","pB6Fcnrjim","5obUd6DV38","u6S6b8DprG"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","T2fj7uvVaJ","nlCqmYiOvY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1574","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=1574, right_input=1256, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=4584","layer":4},{"info":"compute unary expreesion, input=4584, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1645","layer":4},{"info":"number node, value=8352","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=8352, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-30214","layer":3},{"info":"compute unary expreesion, input=-30214, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=29950","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=29950, 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=1965","layer":4},{"info":"compute unary expreesion, input=1965, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3930","layer":3},{"info":"compute unary expreesion, input=-3930, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute unary expreesion, input=-526, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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":5,"result_base":5,"text":"(⇑⪆22244⪭≯⇑⪆20011+(⇑⪆121314⩺⋐⫨))⫯⪬∳(∂⇑⪆23040↹⊜⇑⪆231402)⋻⩜⩜(⇙⪊(⪨⨬(↽≂⇑⪆30330)))=NaN","reverse_text":"NaN=(⇑⪆22244⪭≯⇑⪆20011+(⇑⪆121314⩺⋐⫨))⫯⪬∳(∂⇑⪆23040↹⊜⇑⪆231402)⋻⩜⩜(⇙⪊(⪨⨬(↽≂⇑⪆30330)))","cot":[{"info":"⇑⪆22244⪭≯⇑⪆20011=NaN","layer":3},{"info":"⇑⪆121314⩺⋐⫨=⇑⪆0","layer":3},{"info":"NaN+⇑⪆0=NaN","layer":2},{"info":"⇑⪆23040↹⊜⇑⪆231402=⇑⪆-1431324","layer":3},{"info":"∂⇑⪆-1431324=⇑⪆1424300","layer":2},{"info":"NaN⫯⪬∳⇑⪆1424300=NaN","layer":1},{"info":"↽≂⇑⪆30330=⇑⪆-111210","layer":3},{"info":"⪨⨬⇑⪆-111210=⇑⪆-4101","layer":2},{"info":"⇙⪊⇑⪆-4101=⇑⪆0","layer":1},{"info":"NaN⋻⩜⩜⇑⪆0=NaN","layer":0}]}
{"id":673,"expression_no_base_symbol":"($2387$≁↽≥$7338$⩣⫁∢($2188$⊲⩕⊾$1209$))⨔⇊($1116$⋥≓≎$5685$≓∲($7617$⪑⩈))⊾⪯⋞(∷≠($4655$∝$6257$)∳⫺($5485$⨓$2320$))","expression":"(⇑⪆34022≁↽≥⇑⪆213323⩣⫁∢(⇑⪆32223⊲⩕⊾⇑⪆14314))⨔⇊(⇑⪆13431⋥≓≎⇑⪆140220≓∲(⇑⪆220432⪑⩈))⊾⪯⋞(∷≠(⇑⪆122110∝⇑⪆200012)∳⫺(⇑⪆133420⨓⇑⪆33240))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2596,"operation_count":12,"complexity_ratio":216.33333333333334,"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":2387,"base":5},"right_expr":{"type":"numeric_atoms","value":7338,"base":5}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2188,"base":5},"right_expr":{"type":"numeric_atoms","value":1209,"base":5}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1116,"base":5},"right_expr":{"type":"numeric_atoms","value":5685,"base":5}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":7617,"base":5}}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":4655,"base":5},"right_expr":{"type":"numeric_atoms","value":6257,"base":5}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5485,"base":5},"right_expr":{"type":"numeric_atoms","value":2320,"base":5}}}}},"used_operators":["HK0tfVPux8","JclMnS0uGI","JDUIKTTSIa","ncHt1X6cMc","DmTXOeWf9t","s1XTVnmDOJ","Qy55tPpLXF","C6VvDP6HwP","QiR2Oyf5Xj","AzXXKTstlj","cTDWOvIxvz","3ViojmjbAp"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","oWn0xqSxBt","3Oe9XWJUTD","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","7j4O788W3g","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","7j4O788W3g","W4YGzv6Whe","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⇑⪆-11240","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2387","layer":4},{"info":"number node, value=7338","layer":4},{"info":"compute binary expreesion, left_input=2387, right_input=7338, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=45737","layer":3},{"info":"number node, value=2188","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=1209, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-43728","layer":3},{"info":"compute binary expreesion, left_input=45737, right_input=-43728, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-91313","layer":2},{"info":"number node, value=1116","layer":4},{"info":"number node, value=5685","layer":4},{"info":"compute binary expreesion, left_input=1116, right_input=5685, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=10287","layer":3},{"info":"number node, value=7617","layer":4},{"info":"compute unary expreesion, input=7617, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=54909","layer":3},{"info":"compute binary expreesion, left_input=10287, right_input=54909, 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=103653","layer":2},{"info":"compute binary expreesion, left_input=-91313, right_input=103653, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=103653","layer":1},{"info":"number node, value=4655","layer":4},{"info":"number node, value=6257","layer":4},{"info":"compute binary expreesion, left_input=4655, right_input=6257, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=4660","layer":3},{"info":"number node, value=5485","layer":4},{"info":"number node, value=2320","layer":4},{"info":"compute binary expreesion, left_input=5485, right_input=2320, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2323","layer":3},{"info":"compute binary expreesion, left_input=4660, right_input=-2323, 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 = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=103653, right_input=-260, 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":5,"result_base":5,"text":"(⇑⪆34022≁↽≥⇑⪆213323⩣⫁∢(⇑⪆32223⊲⩕⊾⇑⪆14314))⨔⇊(⇑⪆13431⋥≓≎⇑⪆140220≓∲(⇑⪆220432⪑⩈))⊾⪯⋞(∷≠(⇑⪆122110∝⇑⪆200012)∳⫺(⇑⪆133420⨓⇑⪆33240))=⇑⪆-11240","reverse_text":"⇑⪆-11240=(⇑⪆34022≁↽≥⇑⪆213323⩣⫁∢(⇑⪆32223⊲⩕⊾⇑⪆14314))⨔⇊(⇑⪆13431⋥≓≎⇑⪆140220≓∲(⇑⪆220432⪑⩈))⊾⪯⋞(∷≠(⇑⪆122110∝⇑⪆200012)∳⫺(⇑⪆133420⨓⇑⪆33240))","cot":[{"info":"⇑⪆34022≁↽≥⇑⪆213323=⇑⪆2430422","layer":3},{"info":"⇑⪆32223⊲⩕⊾⇑⪆14314=⇑⪆-2344403","layer":3},{"info":"⇑⪆2430422⩣⫁∢⇑⪆-2344403=⇑⪆-10410223","layer":2},{"info":"⇑⪆13431⋥≓≎⇑⪆140220=⇑⪆312122","layer":3},{"info":"⇑⪆220432⪑⩈=⇑⪆3224114","layer":3},{"info":"⇑⪆312122≓∲⇑⪆3224114=⇑⪆11304103","layer":2},{"info":"⇑⪆-10410223⨔⇊⇑⪆11304103=⇑⪆11304103","layer":1},{"info":"⇑⪆122110∝⇑⪆200012=⇑⪆122120","layer":3},{"info":"⇑⪆133420⨓⇑⪆33240=⇑⪆-33243","layer":3},{"info":"⇑⪆122120∳⫺⇑⪆-33243=⇑⪆-2020","layer":2},{"info":"∷≠⇑⪆-2020=⇑⪆-2020","layer":1},{"info":"⇑⪆11304103⊾⪯⋞⇑⪆-2020=⇑⪆-11240","layer":0}]}
{"id":674,"expression_no_base_symbol":"(($2169$≀⫉$4176$↸$2387$⋕⪉⪜$1299$)⪑⩈)+⇶⊼((≋$1206$⊱⇼⊻$1949$)⩨($2471$⨚⇆$1114$↬⩅∪))","expression":"((⇑⪆32134≀⫉⇑⪆113201↸⇑⪆34022⋕⪉⪜⇑⪆20144)⪑⩈)+⇶⊼((≋⇑⪆14311⊱⇼⊻⇑⪆30244)⩨(⇑⪆34341⨚⇆⇑⪆13424↬⩅∪))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":20373,"operation_count":10,"complexity_ratio":2037.3,"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":2169,"base":5},"right_expr":{"type":"numeric_atoms","value":4176,"base":5}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2387,"base":5},"right_expr":{"type":"numeric_atoms","value":1299,"base":5}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1206,"base":5},"right_expr":{"type":"numeric_atoms","value":1949,"base":5}}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2471,"base":5},"right_expr":{"type":"numeric_atoms","value":1114,"base":5}}}}},"used_operators":["TpPTUOHfaN","C6VvDP6HwP","1eCjFl0mb9","oZj3VtZNQx","z6LnFrNh4i","2DlMacCsIx","61wBmkZwlr","FyVja0WsTP","VJ330n2nnx","lwHaAYXP2r"],"dependent_operators":["AHs5Up7iyr","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","7j4O788W3g","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2169","layer":4},{"info":"number node, value=4176","layer":4},{"info":"compute binary expreesion, left_input=2169, right_input=4176, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=2387","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=2387, right_input=1299, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=2802, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=21344","layer":1},{"info":"number node, value=1206","layer":4},{"info":"number node, value=1949","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=1949, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=434","layer":2},{"info":"number node, value=2471","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=2471, right_input=1114, 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 = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=434, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=21344, 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":5,"result_base":5,"text":"((⇑⪆32134≀⫉⇑⪆113201↸⇑⪆34022⋕⪉⪜⇑⪆20144)⪑⩈)+⇶⊼((≋⇑⪆14311⊱⇼⊻⇑⪆30244)⩨(⇑⪆34341⨚⇆⇑⪆13424↬⩅∪))=NaN","reverse_text":"NaN=((⇑⪆32134≀⫉⇑⪆113201↸⇑⪆34022⋕⪉⪜⇑⪆20144)⪑⩈)+⇶⊼((≋⇑⪆14311⊱⇼⊻⇑⪆30244)⩨(⇑⪆34341⨚⇆⇑⪆13424↬⩅∪))","cot":[{"info":"⇑⪆32134≀⫉⇑⪆113201=⇑⪆42242","layer":3},{"info":"⇑⪆34022⋕⪉⪜⇑⪆20144=⇑⪆42202","layer":3},{"info":"⇑⪆42242↸⇑⪆42202=⇑⪆42242","layer":2},{"info":"⇑⪆42242⪑⩈=⇑⪆1140334","layer":1},{"info":"⇑⪆14311⊱⇼⊻⇑⪆30244=⇑⪆3214","layer":3},{"info":"≋⇑⪆3214=⇑⪆3214","layer":2},{"info":"⇑⪆34341⨚⇆⇑⪆13424=NaN","layer":3},{"info":"NaN↬⩅∪=NaN","layer":2},{"info":"⇑⪆3214⩨NaN=NaN","layer":1},{"info":"⇑⪆1140334+⇶⊼NaN=NaN","layer":0}]}
{"id":675,"expression_no_base_symbol":"(⇾⩊⇾$6094$⇻⋧≁$4223$⫣⪄⊒($5894$⩘))∊∟⩊(↥≼⋛$2136$⇷$2288$⩷∴($3773$⩘⨬⇊))","expression":"(⇾⩊⇾⇑⪆143334⇻⋧≁⇑⪆113343⫣⪄⊒(⇑⪆142034⩘))∊∟⩊(↥≼⋛⇑⪆32021⇷⇑⪆33123⩷∴(⇑⪆110043⩘⨬⇊))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37358,"operation_count":9,"complexity_ratio":4150.888888888889,"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":6094,"base":5},"right_expr":{"type":"numeric_atoms","value":4223,"base":5}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":5894,"base":5}}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2136,"base":5},"right_expr":{"type":"numeric_atoms","value":2288,"base":5}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":3773,"base":5}}}}},"used_operators":["ddLRYrp01A","bx9Z9DAK5y","RabNbG55vr","jCPkEVoL5K","wvHyciQT5X","x5lMkHmzsq","9FxExcQeMw","mp7IySMOzn","XXmTpEpWTW"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9ICcGScMcE","dfKe02y8D2","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA"],"result":"⇑⪆110","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6094","layer":4},{"info":"number node, value=4223","layer":4},{"info":"compute binary expreesion, left_input=6094, right_input=4223, 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=5894","layer":4},{"info":"compute unary expreesion, input=5894, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-447, 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 unary expreesion, input=160, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-7926","layer":1},{"info":"number node, value=2136","layer":4},{"info":"number node, value=2288","layer":4},{"info":"compute binary expreesion, left_input=2136, right_input=2288, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4576","layer":3},{"info":"number node, value=3773","layer":4},{"info":"compute unary expreesion, input=3773, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4576, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":1},{"info":"compute binary expreesion, left_input=-7926, right_input=-113, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=30","layer":0}],"base":5,"result_base":5,"text":"(⇾⩊⇾⇑⪆143334⇻⋧≁⇑⪆113343⫣⪄⊒(⇑⪆142034⩘))∊∟⩊(↥≼⋛⇑⪆32021⇷⇑⪆33123⩷∴(⇑⪆110043⩘⨬⇊))=⇑⪆110","reverse_text":"⇑⪆110=(⇾⩊⇾⇑⪆143334⇻⋧≁⇑⪆113343⫣⪄⊒(⇑⪆142034⩘))∊∟⩊(↥≼⋛⇑⪆32021⇷⇑⪆33123⩷∴(⇑⪆110043⩘⨬⇊))","cot":[{"info":"⇑⪆143334⇻⋧≁⇑⪆113343=⇑⪆-3242","layer":3},{"info":"⇑⪆142034⩘=⇑⪆232","layer":3},{"info":"⇑⪆-3242⫣⪄⊒⇑⪆232=⇑⪆1120","layer":2},{"info":"⇾⩊⇾⇑⪆1120=⇑⪆-223201","layer":1},{"info":"⇑⪆32021⇷⇑⪆33123=⇑⪆121301","layer":3},{"info":"⇑⪆110043⩘⨬⇊=NaN","layer":3},{"info":"⇑⪆121301⩷∴NaN=NaN","layer":2},{"info":"↥≼⋛NaN=⇑⪆-423","layer":1},{"info":"⇑⪆-223201∊∟⩊⇑⪆-423=⇑⪆110","layer":0}]}
{"id":676,"expression_no_base_symbol":"(→⩰($4935$⨽⪊≇))⨟⋌⩍($1613$≧⫂∧$2585$)⩣⫁∢($1047$⋷$2151$)≭((⩩$2841$)⫁⪎(⊲⪭$1473$))⨔⇊((⨣⨃⇪$6228$)⨒($1354$∲⫓$3809$))","expression":"(→⩰(⇑⪆124220⨽⪊≇))⨟⋌⩍(⇑⪆22423≧⫂∧⇑⪆40320)⩣⫁∢(⇑⪆13142⋷⇑⪆32101)≭((⩩⇑⪆42331)⫁⪎(⊲⪭⇑⪆21343))⨔⇊((⨣⨃⇪⇑⪆144403)⨒(⇑⪆20404∲⫓⇑⪆110214))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":13583,"operation_count":14,"complexity_ratio":970.2142857142857,"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":4935,"base":5}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1613,"base":5},"right_expr":{"type":"numeric_atoms","value":2585,"base":5}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1047,"base":5},"right_expr":{"type":"numeric_atoms","value":2151,"base":5}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2841,"base":5}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":1473,"base":5}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":6228,"base":5}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1354,"base":5},"right_expr":{"type":"numeric_atoms","value":3809,"base":5}}}}},"used_operators":["rxpJgHHUmx","rGHVDoGpnC","o8Pngz0Tml","nlCqmYiOvY","JDUIKTTSIa","Ph9nP6C5qx","23Mk6UjR3U","JclMnS0uGI","xRrnTEsQ6j","kMhfGuqI2H","k7HXdKtiEU","y75s1iXyHd","AcOhelriW5","i8ToyICDmI"],"dependent_operators":["AHs5Up7iyr","Tcnh7f0tEr","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","i8ToyICDmI","xUOZtlo3hN","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆-42","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4935","layer":4},{"info":"compute unary expreesion, input=4935, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=9344","layer":3},{"info":"compute unary expreesion, input=9344, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"number node, value=1613","layer":4},{"info":"number node, value=2585","layer":4},{"info":"compute binary expreesion, left_input=1613, right_input=2585, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2112","layer":3},{"info":"number node, value=1047","layer":4},{"info":"number node, value=2151","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=2151, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3255","layer":3},{"info":"compute binary expreesion, left_input=2112, right_input=3255, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-4063","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4063, 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=2841","layer":4},{"info":"compute unary expreesion, input=2841, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=1473","layer":4},{"info":"compute unary expreesion, input=1473, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-1647","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1647, 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=6228","layer":4},{"info":"compute unary expreesion, input=6228, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=1354","layer":4},{"info":"number node, value=3809","layer":4},{"info":"compute binary expreesion, left_input=1354, right_input=3809, 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=1405, right_input=0, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":0}],"base":5,"result_base":5,"text":"(→⩰(⇑⪆124220⨽⪊≇))⨟⋌⩍(⇑⪆22423≧⫂∧⇑⪆40320)⩣⫁∢(⇑⪆13142⋷⇑⪆32101)≭((⩩⇑⪆42331)⫁⪎(⊲⪭⇑⪆21343))⨔⇊((⨣⨃⇪⇑⪆144403)⨒(⇑⪆20404∲⫓⇑⪆110214))=⇑⪆-42","reverse_text":"⇑⪆-42=(→⩰(⇑⪆124220⨽⪊≇))⨟⋌⩍(⇑⪆22423≧⫂∧⇑⪆40320)⩣⫁∢(⇑⪆13142⋷⇑⪆32101)≭((⩩⇑⪆42331)⫁⪎(⊲⪭⇑⪆21343))⨔⇊((⨣⨃⇪⇑⪆144403)⨒(⇑⪆20404∲⫓⇑⪆110214))","cot":[{"info":"⇑⪆124220⨽⪊≇=⇑⪆244334","layer":3},{"info":"→⩰⇑⪆244334=NaN","layer":2},{"info":"⇑⪆22423≧⫂∧⇑⪆40320=⇑⪆31422","layer":3},{"info":"⇑⪆13142⋷⇑⪆32101=⇑⪆101010","layer":3},{"info":"⇑⪆31422⩣⫁∢⇑⪆101010=⇑⪆-112223","layer":2},{"info":"NaN⨟⋌⩍⇑⪆-112223=NaN","layer":1},{"info":"⩩⇑⪆42331=NaN","layer":3},{"info":"⊲⪭⇑⪆21343=⇑⪆-23042","layer":3},{"info":"NaN⫁⪎⇑⪆-23042=NaN","layer":2},{"info":"⨣⨃⇪⇑⪆144403=⇑⪆21110","layer":3},{"info":"⇑⪆20404∲⫓⇑⪆110214=⇑⪆0","layer":3},{"info":"⇑⪆21110⨒⇑⪆0=⇑⪆0","layer":2},{"info":"NaN⨔⇊⇑⪆0=⇑⪆0","layer":1},{"info":"NaN≭⇑⪆0=⇑⪆-42","layer":0}]}
{"id":677,"expression_no_base_symbol":"(⫓⪴((⪛⨧$1802$)⪓⨏))⫞⩸⩒(($6213$⩘)⇻⋧≁($4848$≚⊃≕$2412$))⪝(⨡↴($9395$⪉⨛$2532$))","expression":"(⫓⪴((⪛⨧⇑⪆24202)⪓⨏))⫞⩸⩒((⇑⪆144323⩘)⇻⋧≁(⇑⪆123343≚⊃≕⇑⪆34122))⪝(⨡↴(⇑⪆300040⪉⨛⇑⪆40112))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5784,"operation_count":10,"complexity_ratio":578.4,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1802,"base":5}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":6213,"base":5}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":4848,"base":5},"right_expr":{"type":"numeric_atoms","value":2412,"base":5}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":9395,"base":5},"right_expr":{"type":"numeric_atoms","value":2532,"base":5}}}}},"used_operators":["XGcMNugi78","eLxqMNBOBk","4X9JU4Jbn6","6NJAcO2OWT","wicAB68Tmb","jCPkEVoL5K","wvHyciQT5X","Bmrmz2XGnR","liw5iZPkLH","EWw2JM7wp4"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9HNa5Wba9A","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9ICcGScMcE","dfKe02y8D2","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","P8v4zCKN1o","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1802","layer":4},{"info":"compute unary expreesion, input=1802, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=5005","layer":3},{"info":"compute unary expreesion, input=5005, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"number node, value=6213","layer":4},{"info":"compute unary expreesion, input=6213, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"number node, value=4848","layer":4},{"info":"number node, value=2412","layer":4},{"info":"compute binary expreesion, left_input=4848, right_input=2412, 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=67, right_input=67, 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=9395","layer":4},{"info":"number node, value=2532","layer":4},{"info":"compute binary expreesion, left_input=9395, right_input=2532, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=25868","layer":3},{"info":"compute unary expreesion, input=25868, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=26917","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=26917, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=237, 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":5,"result_base":5,"text":"(⫓⪴((⪛⨧⇑⪆24202)⪓⨏))⫞⩸⩒((⇑⪆144323⩘)⇻⋧≁(⇑⪆123343≚⊃≕⇑⪆34122))⪝(⨡↴(⇑⪆300040⪉⨛⇑⪆40112))=NaN","reverse_text":"NaN=(⫓⪴((⪛⨧⇑⪆24202)⪓⨏))⫞⩸⩒((⇑⪆144323⩘)⇻⋧≁(⇑⪆123343≚⊃≕⇑⪆34122))⪝(⨡↴(⇑⪆300040⪉⨛⇑⪆40112))","cot":[{"info":"⪛⨧⇑⪆24202=⇑⪆130010","layer":3},{"info":"⇑⪆130010⪓⨏=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"⇑⪆144323⩘=⇑⪆232","layer":3},{"info":"⇑⪆123343≚⊃≕⇑⪆34122=⇑⪆232","layer":3},{"info":"⇑⪆232⇻⋧≁⇑⪆232=⇑⪆-3242","layer":2},{"info":"⇑⪆300040⪉⨛⇑⪆40112=⇑⪆1311433","layer":3},{"info":"⨡↴⇑⪆1311433=⇑⪆1330132","layer":2},{"info":"⇑⪆-3242⪝⇑⪆1330132=⇑⪆1422","layer":1},{"info":"NaN⫞⩸⩒⇑⪆1422=NaN","layer":0}]}
{"id":678,"expression_no_base_symbol":"($6984$⇯⋐)⫁(≋$2558$)⨽∌($1470$⋾⨃∁$3084$⫳≱↱$2544$⇴$1052$)≓∲(⪫⨮⊛(($4160$⨰$2486$)⩁))","expression":"(⇑⪆210414⇯⋐)⫁(≋⇑⪆40213)⨽∌(⇑⪆21340⋾⨃∁⇑⪆44314⫳≱↱⇑⪆40134⇴⇑⪆13202)≓∲(⪫⨮⊛((⇑⪆113120⨰⇑⪆34421)⩁))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":211407,"operation_count":11,"complexity_ratio":19218.81818181818,"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":6984,"base":5}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":2558,"base":5}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1470,"base":5},"right_expr":{"type":"numeric_atoms","value":3084,"base":5}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2544,"base":5},"right_expr":{"type":"numeric_atoms","value":1052,"base":5}}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4160,"base":5},"right_expr":{"type":"numeric_atoms","value":2486,"base":5}}}}},"used_operators":["s1XTVnmDOJ","9samAPKr6k","0ajvFaJAv0","LkLIoiE525","61wBmkZwlr","ZvLB05nZmT","212REbPD9h","4JB6nKBMSY","w5FWba1tyO","5GqDbVmqXU","eewbuw0ToL"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","cHh1gJQ2o6","AHs5Up7iyr","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","7j4O788W3g","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","sdazOOVcIp","NTOWxs364D","COABgblf1C","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6984","layer":4},{"info":"compute unary expreesion, input=6984, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=21830","layer":3},{"info":"number node, value=2558","layer":4},{"info":"compute unary expreesion, input=2558, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=2558","layer":3},{"info":"compute binary expreesion, left_input=21830, right_input=2558, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=1470","layer":4},{"info":"number node, value=3084","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=3084, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=95073458","layer":3},{"info":"number node, value=2544","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=2544, right_input=1052, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=16982","layer":3},{"info":"compute binary expreesion, left_input=95073458, right_input=16982, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-204, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=4160","layer":4},{"info":"number node, value=2486","layer":4},{"info":"compute binary expreesion, left_input=4160, right_input=2486, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1684","layer":3},{"info":"compute unary expreesion, input=1684, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-10692","layer":2},{"info":"compute unary expreesion, input=-10692, 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=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":0}],"base":5,"result_base":5,"text":"(⇑⪆210414⇯⋐)⫁(≋⇑⪆40213)⨽∌(⇑⪆21340⋾⨃∁⇑⪆44314⫳≱↱⇑⪆40134⇴⇑⪆13202)≓∲(⪫⨮⊛((⇑⪆113120⨰⇑⪆34421)⩁))=NaN","reverse_text":"NaN=(⇑⪆210414⇯⋐)⫁(≋⇑⪆40213)⨽∌(⇑⪆21340⋾⨃∁⇑⪆44314⫳≱↱⇑⪆40134⇴⇑⪆13202)≓∲(⪫⨮⊛((⇑⪆113120⨰⇑⪆34421)⩁))","cot":[{"info":"⇑⪆210414⇯⋐=⇑⪆1144310","layer":3},{"info":"≋⇑⪆40213=⇑⪆40213","layer":3},{"info":"⇑⪆1144310⫁⇑⪆40213=⇑⪆1120","layer":2},{"info":"⇑⪆21340⋾⨃∁⇑⪆44314=⇑⪆143314322313","layer":3},{"info":"⇑⪆40134⇴⇑⪆13202=⇑⪆1020412","layer":3},{"info":"⇑⪆143314322313⫳≱↱⇑⪆1020412=⇑⪆-1304","layer":2},{"info":"⇑⪆1120⨽∌⇑⪆-1304=⇑⪆0","layer":1},{"info":"⇑⪆113120⨰⇑⪆34421=⇑⪆23214","layer":3},{"info":"⇑⪆23214⩁=⇑⪆-320232","layer":2},{"info":"⪫⨮⊛⇑⪆-320232=NaN","layer":1},{"info":"⇑⪆0≓∲NaN=NaN","layer":0}]}
{"id":679,"expression_no_base_symbol":"($3305$⨫⇇↔$5775$⊾⪯⋞$1822$⋝⋈⪟$1784$)⨂≜(⨂⪏⇭($1292$⩟))⇄(($1093$⨁⊸⫻)⇐≅)≚⊃≕(($2402$+$8799$)≎⊠⪸$1951$≠≀$5033$)","expression":"(⇑⪆101210⨫⇇↔⇑⪆141100⊾⪯⋞⇑⪆24242⋝⋈⪟⇑⪆24114)⨂≜(⨂⪏⇭(⇑⪆20132⩟))⇄((⇑⪆13333⨁⊸⫻)⇐≅)≚⊃≕((⇑⪆34102+⇑⪆240144)≎⊠⪸⇑⪆30301≠≀⇑⪆130113)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3417,"operation_count":13,"complexity_ratio":262.84615384615387,"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":3305,"base":5},"right_expr":{"type":"numeric_atoms","value":5775,"base":5}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1822,"base":5},"right_expr":{"type":"numeric_atoms","value":1784,"base":5}}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":1292,"base":5}}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1093,"base":5}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2402,"base":5},"right_expr":{"type":"numeric_atoms","value":8799,"base":5}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1951,"base":5},"right_expr":{"type":"numeric_atoms","value":5033,"base":5}}}}},"used_operators":["3EYGwJThht","k1SHOSEABc","HK0tfVPux8","LXhwmt4mBO","2DDjHMKMc0","AYdpE9sXAk","fOIeswaMU4","Bmrmz2XGnR","wEfv7U73WA","glklzrTFfD","bJkvcejdHO","W4YGzv6Whe","IwW236VD4Y"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3305","layer":4},{"info":"number node, value=5775","layer":4},{"info":"compute binary expreesion, left_input=3305, right_input=5775, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1822","layer":4},{"info":"number node, value=1784","layer":4},{"info":"compute binary expreesion, left_input=1822, right_input=1784, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1822","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=1822, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3218","layer":2},{"info":"number node, value=1292","layer":4},{"info":"compute unary expreesion, input=1292, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-10401","layer":3},{"info":"compute unary expreesion, input=-10401, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-32182","layer":2},{"info":"compute binary expreesion, left_input=3218, right_input=-32182, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"number node, value=1093","layer":4},{"info":"compute unary expreesion, input=1093, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1093","layer":3},{"info":"compute unary expreesion, input=1093, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=3247","layer":2},{"info":"number node, value=2402","layer":4},{"info":"number node, value=8799","layer":4},{"info":"compute binary expreesion, left_input=2402, right_input=8799, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11201","layer":3},{"info":"number node, value=1951","layer":4},{"info":"number node, value=5033","layer":4},{"info":"compute binary expreesion, left_input=1951, right_input=5033, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3596","layer":3},{"info":"compute binary expreesion, left_input=11201, right_input=-3596, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=3247, right_input=67, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆101210⨫⇇↔⇑⪆141100⊾⪯⋞⇑⪆24242⋝⋈⪟⇑⪆24114)⨂≜(⨂⪏⇭(⇑⪆20132⩟))⇄((⇑⪆13333⨁⊸⫻)⇐≅)≚⊃≕((⇑⪆34102+⇑⪆240144)≎⊠⪸⇑⪆30301≠≀⇑⪆130113)=NaN","reverse_text":"NaN=(⇑⪆101210⨫⇇↔⇑⪆141100⊾⪯⋞⇑⪆24242⋝⋈⪟⇑⪆24114)⨂≜(⨂⪏⇭(⇑⪆20132⩟))⇄((⇑⪆13333⨁⊸⫻)⇐≅)≚⊃≕((⇑⪆34102+⇑⪆240144)≎⊠⪸⇑⪆30301≠≀⇑⪆130113)","cot":[{"info":"⇑⪆101210⨫⇇↔⇑⪆141100=⇑⪆-4102","layer":3},{"info":"⇑⪆24242⋝⋈⪟⇑⪆24114=⇑⪆24242","layer":3},{"info":"⇑⪆-4102⊾⪯⋞⇑⪆24242=⇑⪆100333","layer":2},{"info":"⇑⪆20132⩟=⇑⪆-313101","layer":3},{"info":"⨂⪏⇭⇑⪆-313101=⇑⪆-2012212","layer":2},{"info":"⇑⪆100333⨂≜⇑⪆-2012212=NaN","layer":1},{"info":"⇑⪆13333⨁⊸⫻=⇑⪆13333","layer":3},{"info":"⇑⪆13333⇐≅=⇑⪆100442","layer":2},{"info":"⇑⪆34102+⇑⪆240144=⇑⪆324301","layer":3},{"info":"⇑⪆30301≠≀⇑⪆130113=⇑⪆-103341","layer":3},{"info":"⇑⪆324301≎⊠⪸⇑⪆-103341=⇑⪆232","layer":2},{"info":"⇑⪆100442≚⊃≕⇑⪆232=⇑⪆232","layer":1},{"info":"NaN⇄⇑⪆232=NaN","layer":0}]}
{"id":680,"expression_no_base_symbol":"(⫛⫱⨽($4462$⇂≾⫗$1303$⨻⩈⩔($1481$≥⨤⩑$1586$)))∌((≉(↥≼⋛$9773$))↱($3209$⫳≱↱$5061$⊾⪯⋞($5264$⨵⪆$7568$)))","expression":"(⫛⫱⨽(⇑⪆120322⇂≾⫗⇑⪆20203⨻⩈⩔(⇑⪆21411≥⨤⩑⇑⪆22321)))∌((≉(↥≼⋛⇑⪆303043))↱(⇑⪆100314⫳≱↱⇑⪆130221⊾⪯⋞(⇑⪆132024⨵⪆⇑⪆220233)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1670,"operation_count":11,"complexity_ratio":151.8181818181818,"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":4462,"base":5},"right_expr":{"type":"numeric_atoms","value":1303,"base":5}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1481,"base":5},"right_expr":{"type":"numeric_atoms","value":1586,"base":5}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":9773,"base":5}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3209,"base":5},"right_expr":{"type":"numeric_atoms","value":5061,"base":5}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5264,"base":5},"right_expr":{"type":"numeric_atoms","value":7568,"base":5}}}}},"used_operators":["8cLx32lpNA","DlLNRPXxWL","nEsXyWgiOK","aBQ6xLxuTc","gJLn6v0xnP","SR5kFfdi6N","e1ybzncUwg","x5lMkHmzsq","HK0tfVPux8","ZvLB05nZmT","2DQ55sFlQl"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rGHVDoGpnC","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd"],"result":"⇑⪆-240033","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4462","layer":4},{"info":"number node, value=1303","layer":4},{"info":"compute binary expreesion, left_input=4462, right_input=1303, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1481","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=1586, 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=-676, right_input=1234, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute unary expreesion, input=-174, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=9773","layer":4},{"info":"compute unary expreesion, input=9773, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=418","layer":2},{"info":"number node, value=3209","layer":4},{"info":"number node, value=5061","layer":4},{"info":"compute binary expreesion, left_input=3209, right_input=5061, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=5264","layer":4},{"info":"number node, value=7568","layer":4},{"info":"compute binary expreesion, left_input=5264, right_input=7568, 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=-204, 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 binary expreesion, left_input=418, right_input=-818, 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=8768","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=8768, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-8768","layer":0}],"base":5,"result_base":5,"text":"(⫛⫱⨽(⇑⪆120322⇂≾⫗⇑⪆20203⨻⩈⩔(⇑⪆21411≥⨤⩑⇑⪆22321)))∌((≉(↥≼⋛⇑⪆303043))↱(⇑⪆100314⫳≱↱⇑⪆130221⊾⪯⋞(⇑⪆132024⨵⪆⇑⪆220233)))=⇑⪆-240033","reverse_text":"⇑⪆-240033=(⫛⫱⨽(⇑⪆120322⇂≾⫗⇑⪆20203⨻⩈⩔(⇑⪆21411≥⨤⩑⇑⪆22321)))∌((≉(↥≼⋛⇑⪆303043))↱(⇑⪆100314⫳≱↱⇑⪆130221⊾⪯⋞(⇑⪆132024⨵⪆⇑⪆220233)))","cot":[{"info":"⇑⪆120322⇂≾⫗⇑⪆20203=⇑⪆-10201","layer":3},{"info":"⇑⪆21411≥⨤⩑⇑⪆22321=⇑⪆14414","layer":3},{"info":"⇑⪆-10201⨻⩈⩔⇑⪆14414=⇑⪆-1144","layer":2},{"info":"⫛⫱⨽⇑⪆-1144=⇑⪆0","layer":1},{"info":"↥≼⋛⇑⪆303043=⇑⪆-423","layer":3},{"info":"≉⇑⪆-423=⇑⪆3133","layer":2},{"info":"⇑⪆100314⫳≱↱⇑⪆130221=⇑⪆-1304","layer":3},{"info":"⇑⪆132024⨵⪆⇑⪆220233=⇑⪆1120","layer":3},{"info":"⇑⪆-1304⊾⪯⋞⇑⪆1120=⇑⪆-11233","layer":2},{"info":"⇑⪆3133↱⇑⪆-11233=⇑⪆240033","layer":1},{"info":"⇑⪆0∌⇑⪆240033=⇑⪆-240033","layer":0}]}
{"id":681,"expression_no_base_symbol":"($2882$⨟⋌⩍$4687$↼⊘⨖($2968$⇷$5716$)⇩)⊢((($5263$⨶)⇞)⇼⇔∾($3768$↺$9121$)⩌⋺($4029$≹⇙⪍$2231$))","expression":"(⇑⪆43012⨟⋌⩍⇑⪆122222↼⊘⨖(⇑⪆43333⇷⇑⪆140331)⇩)⊢(((⇑⪆132023⨶)⇞)⇼⇔∾(⇑⪆110033↺⇑⪆242441)⩌⋺(⇑⪆112104≹⇙⪍⇑⪆32411))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":41628,"operation_count":11,"complexity_ratio":3784.3636363636365,"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":2882,"base":5},"right_expr":{"type":"numeric_atoms","value":4687,"base":5}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2968,"base":5},"right_expr":{"type":"numeric_atoms","value":5716,"base":5}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":5263,"base":5}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3768,"base":5},"right_expr":{"type":"numeric_atoms","value":9121,"base":5}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4029,"base":5},"right_expr":{"type":"numeric_atoms","value":2231,"base":5}}}}},"used_operators":["5twsqlHp2o","vRio1gEz1j","bPywburJMS","rGHVDoGpnC","mp7IySMOzn","tifHPKVTfV","5JYyxRJd4f","rFxw8gIMmB","g7Hmc5v1ko","7j4O788W3g","AHs5Up7iyr"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","Tcnh7f0tEr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","f6k1SAg4EE","Qy55tPpLXF","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"⇑⪆-2430324","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2882","layer":4},{"info":"number node, value=4687","layer":4},{"info":"compute binary expreesion, left_input=2882, right_input=4687, 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=2968","layer":4},{"info":"number node, value=5716","layer":4},{"info":"compute binary expreesion, left_input=2968, right_input=5716, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11432","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11432, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=22642","layer":2},{"info":"compute unary expreesion, input=22642, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=22735","layer":1},{"info":"number node, value=5263","layer":4},{"info":"compute unary expreesion, input=5263, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=8780","layer":3},{"info":"compute unary expreesion, input=8780, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=35033","layer":2},{"info":"number node, value=3768","layer":4},{"info":"number node, value=9121","layer":4},{"info":"compute binary expreesion, left_input=3768, right_input=9121, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=9121","layer":3},{"info":"number node, value=4029","layer":4},{"info":"number node, value=2231","layer":4},{"info":"compute binary expreesion, left_input=4029, right_input=2231, 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=9121, 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":"compute binary expreesion, left_input=35033, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=22735, 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=-45714","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆43012⨟⋌⩍⇑⪆122222↼⊘⨖(⇑⪆43333⇷⇑⪆140331)⇩)⊢(((⇑⪆132023⨶)⇞)⇼⇔∾(⇑⪆110033↺⇑⪆242441)⩌⋺(⇑⪆112104≹⇙⪍⇑⪆32411))=⇑⪆-2430324","reverse_text":"⇑⪆-2430324=(⇑⪆43012⨟⋌⩍⇑⪆122222↼⊘⨖(⇑⪆43333⇷⇑⪆140331)⇩)⊢(((⇑⪆132023⨶)⇞)⇼⇔∾(⇑⪆110033↺⇑⪆242441)⩌⋺(⇑⪆112104≹⇙⪍⇑⪆32411))","cot":[{"info":"⇑⪆43012⨟⋌⩍⇑⪆122222=NaN","layer":3},{"info":"⇑⪆43333⇷⇑⪆140331=⇑⪆331212","layer":3},{"info":"NaN↼⊘⨖⇑⪆331212=⇑⪆1211032","layer":2},{"info":"⇑⪆1211032⇩=⇑⪆1211420","layer":1},{"info":"⇑⪆132023⨶=⇑⪆240110","layer":3},{"info":"⇑⪆240110⇞=⇑⪆2110113","layer":2},{"info":"⇑⪆110033↺⇑⪆242441=⇑⪆242441","layer":3},{"info":"⇑⪆112104≹⇙⪍⇑⪆32411=NaN","layer":3},{"info":"⇑⪆242441⩌⋺NaN=NaN","layer":2},{"info":"⇑⪆2110113⇼⇔∾NaN=NaN","layer":1},{"info":"⇑⪆1211420⊢NaN=⇑⪆-2430324","layer":0}]}
{"id":682,"expression_no_base_symbol":"(⊬↢(($1526$≚⋢)⩭))∥⊢⊲(($6425$↹⊜$1503$*(∐⩳⋚$1245$))⋛($6846$⪶≀⋏$4744$⫡⨏$1467$∛$1569$))","expression":"(⊬↢((⇑⪆22101≚⋢)⩭))∥⊢⊲((⇑⪆201200↹⊜⇑⪆22003*(∐⩳⋚⇑⪆14440))⋛(⇑⪆204341⪶≀⋏⇑⪆122434⫡⨏⇑⪆21332∛⇑⪆22234))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":69344,"operation_count":11,"complexity_ratio":6304.0,"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":1526,"base":5}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":6425,"base":5},"right_expr":{"type":"numeric_atoms","value":1503,"base":5}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1245,"base":5}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":6846,"base":5},"right_expr":{"type":"numeric_atoms","value":4744,"base":5}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1467,"base":5},"right_expr":{"type":"numeric_atoms","value":1569,"base":5}}}}},"used_operators":["v1UQAVDJRr","WPoGxAaPR1","yIPP7u6H5x","MahUMFw56D","YbUVn0Rbpy","9HNa5Wba9A","9bazX3JMtO","SL6IHkK8vl","QMFrweE19q","zR4jO40bMj","w2537kitQq"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","3ViojmjbAp","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1526","layer":4},{"info":"compute unary expreesion, input=1526, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute unary expreesion, input=-89, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=450","layer":2},{"info":"compute unary expreesion, input=450, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":1},{"info":"number node, value=6425","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=6425, right_input=1503, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=6742","layer":3},{"info":"number node, value=1245","layer":4},{"info":"compute unary expreesion, input=1245, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=169612","layer":3},{"info":"compute binary expreesion, left_input=6742, right_input=169612, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1143524104","layer":2},{"info":"number node, value=6846","layer":4},{"info":"number node, value=4744","layer":4},{"info":"compute binary expreesion, left_input=6846, right_input=4744, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-30258","layer":3},{"info":"number node, value=1467","layer":4},{"info":"number node, value=1569","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=1569, 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=-30258, right_input=67, 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=-150373","layer":2},{"info":"compute binary expreesion, left_input=1143524104, right_input=-150373, 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=-450474","layer":1},{"info":"compute binary expreesion, left_input=218, right_input=-450474, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⊬↢((⇑⪆22101≚⋢)⩭))∥⊢⊲((⇑⪆201200↹⊜⇑⪆22003*(∐⩳⋚⇑⪆14440))⋛(⇑⪆204341⪶≀⋏⇑⪆122434⫡⨏⇑⪆21332∛⇑⪆22234))=NaN","reverse_text":"NaN=(⊬↢((⇑⪆22101≚⋢)⩭))∥⊢⊲((⇑⪆201200↹⊜⇑⪆22003*(∐⩳⋚⇑⪆14440))⋛(⇑⪆204341⪶≀⋏⇑⪆122434⫡⨏⇑⪆21332∛⇑⪆22234))","cot":[{"info":"⇑⪆22101≚⋢=⇑⪆-324","layer":3},{"info":"⇑⪆-324⩭=⇑⪆3300","layer":2},{"info":"⊬↢⇑⪆3300=⇑⪆1333","layer":1},{"info":"⇑⪆201200↹⊜⇑⪆22003=⇑⪆203432","layer":3},{"info":"∐⩳⋚⇑⪆14440=⇑⪆20411422","layer":3},{"info":"⇑⪆203432*⇑⪆20411422=⇑⪆4320220232404","layer":2},{"info":"⇑⪆204341⪶≀⋏⇑⪆122434=⇑⪆-1432013","layer":3},{"info":"⇑⪆21332∛⇑⪆22234=⇑⪆232","layer":3},{"info":"⇑⪆-1432013⫡⨏⇑⪆232=⇑⪆-14302443","layer":2},{"info":"⇑⪆4320220232404⋛⇑⪆-14302443=⇑⪆-103403344","layer":1},{"info":"⇑⪆1333∥⊢⊲⇑⪆-103403344=NaN","layer":0}]}
{"id":683,"expression_no_base_symbol":"((⋗⩴⪓$2217$)⪚$3308$⩣⫁∢$1040$)⨿(∮($2548$↬⩅∪))⫲","expression":"((⋗⩴⪓⇑⪆32332)⪚⇑⪆101213⩣⫁∢⇑⪆13130)⨿(∮(⇑⪆40143↬⩅∪))⫲","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3044,"operation_count":7,"complexity_ratio":434.85714285714283,"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":2217,"base":5}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3308,"base":5},"right_expr":{"type":"numeric_atoms","value":1040,"base":5}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":2548,"base":5}}}}},"used_operators":["9xnGDUPbC6","abYXlopdE0","HrjLwUk87U","nOKPl9n5zu","JDUIKTTSIa","CqXKPLVYql","VJ330n2nnx"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG"],"result":"⇑⪆4032","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2217","layer":4},{"info":"compute unary expreesion, input=2217, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-1304","layer":3},{"info":"number node, value=3308","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=3308, right_input=1040, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-6455","layer":3},{"info":"compute binary expreesion, left_input=-1304, right_input=-6455, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=1732","layer":2},{"info":"number node, value=2548","layer":4},{"info":"compute unary expreesion, input=2548, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-7644","layer":3},{"info":"compute unary expreesion, input=-7644, 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=-245780","layer":2},{"info":"compute binary expreesion, left_input=1732, right_input=-245780, 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 = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=517","layer":0}],"base":5,"result_base":5,"text":"((⋗⩴⪓⇑⪆32332)⪚⇑⪆101213⩣⫁∢⇑⪆13130)⨿(∮(⇑⪆40143↬⩅∪))⫲=⇑⪆4032","reverse_text":"⇑⪆4032=((⋗⩴⪓⇑⪆32332)⪚⇑⪆101213⩣⫁∢⇑⪆13130)⨿(∮(⇑⪆40143↬⩅∪))⫲","cot":[{"info":"⋗⩴⪓⇑⪆32332=⇑⪆-20204","layer":3},{"info":"⇑⪆101213⩣⫁∢⇑⪆13130=⇑⪆-201310","layer":3},{"info":"⇑⪆-20204⪚⇑⪆-201310=⇑⪆23412","layer":2},{"info":"⇑⪆40143↬⩅∪=⇑⪆-221034","layer":3},{"info":"∮⇑⪆-221034=⇑⪆-30331110","layer":2},{"info":"⇑⪆23412⨿⇑⪆-30331110=⇑⪆-2234","layer":1},{"info":"⇑⪆-2234⫲=⇑⪆4032","layer":0}]}
{"id":684,"expression_no_base_symbol":"((⩷$6369$)⫣⪄⊒($1616$∑⇟⊟$3290$)⨰(($4670$⊉≛↸$1044$)+⇶⊼($1686$⩘⨬⇊)))≀⫉($1991$⪇≇⋚$1496$⨎$5132$⪃⊛⇣$6480$⪄(⊵⊁$5848$)⨥⫆(⨆≐≲$4380$))","expression":"((⩷⇑⪆200434)⫣⪄⊒(⇑⪆22431∑⇟⊟⇑⪆101130)⨰((⇑⪆122140⊉≛↸⇑⪆13134)+⇶⊼(⇑⪆23221⩘⨬⇊)))≀⫉(⇑⪆30431⪇≇⋚⇑⪆21441⨎⇑⪆131012⪃⊛⇣⇑⪆201410⪄(⊵⊁⇑⪆141343)⨥⫆(⨆≐≲⇑⪆120010))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":2165,"operation_count":15,"complexity_ratio":144.33333333333334,"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":6369,"base":5}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1616,"base":5},"right_expr":{"type":"numeric_atoms","value":3290,"base":5}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4670,"base":5},"right_expr":{"type":"numeric_atoms","value":1044,"base":5}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":1686,"base":5}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1991,"base":5},"right_expr":{"type":"numeric_atoms","value":1496,"base":5}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":5132,"base":5},"right_expr":{"type":"numeric_atoms","value":6480,"base":5}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":5848,"base":5}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":4380,"base":5}}}}},"used_operators":["oZj3VtZNQx","eewbuw0ToL","RabNbG55vr","1h0rLqGiFr","U7g4x0WXJJ","TpPTUOHfaN","DZ8iAZOCBD","XXmTpEpWTW","SUmda5xLS4","rJVOvQCfKK","3sJ7IOPOlU","rrgAzCduG9","yXekIHxTD4","AvED76WdY7","Bi9z9uYZqW"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","uBihLCJcMX","k8jYdgA6NY","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6369","layer":4},{"info":"compute unary expreesion, input=6369, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-76507","layer":3},{"info":"number node, value=1616","layer":4},{"info":"number node, value=3290","layer":4},{"info":"compute binary expreesion, left_input=1616, right_input=3290, 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=-76507, 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=4670","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=4670, right_input=1044, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9340","layer":3},{"info":"number node, value=1686","layer":4},{"info":"compute unary expreesion, input=1686, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9340, 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=160, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=1991","layer":4},{"info":"number node, value=1496","layer":4},{"info":"compute binary expreesion, left_input=1991, right_input=1496, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=5132","layer":4},{"info":"number node, value=6480","layer":4},{"info":"compute binary expreesion, left_input=5132, right_input=6480, 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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1234","layer":2},{"info":"number node, value=5848","layer":4},{"info":"compute unary expreesion, input=5848, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=34018","layer":3},{"info":"number node, value=4380","layer":4},{"info":"compute unary expreesion, input=4380, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=47601240","layer":3},{"info":"compute binary expreesion, left_input=34018, right_input=47601240, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=95202356","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=95202356, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-380988145","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-380988145, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⩷⇑⪆200434)⫣⪄⊒(⇑⪆22431∑⇟⊟⇑⪆101130)⨰((⇑⪆122140⊉≛↸⇑⪆13134)+⇶⊼(⇑⪆23221⩘⨬⇊)))≀⫉(⇑⪆30431⪇≇⋚⇑⪆21441⨎⇑⪆131012⪃⊛⇣⇑⪆201410⪄(⊵⊁⇑⪆141343)⨥⫆(⨆≐≲⇑⪆120010))=NaN","reverse_text":"NaN=((⩷⇑⪆200434)⫣⪄⊒(⇑⪆22431∑⇟⊟⇑⪆101130)⨰((⇑⪆122140⊉≛↸⇑⪆13134)+⇶⊼(⇑⪆23221⩘⨬⇊)))≀⫉(⇑⪆30431⪇≇⋚⇑⪆21441⨎⇑⪆131012⪃⊛⇣⇑⪆201410⪄(⊵⊁⇑⪆141343)⨥⫆(⨆≐≲⇑⪆120010))","cot":[{"info":"⩷⇑⪆200434=⇑⪆-4422012","layer":3},{"info":"⇑⪆22431∑⇟⊟⇑⪆101130=NaN","layer":3},{"info":"⇑⪆-4422012⫣⪄⊒NaN=⇑⪆1120","layer":2},{"info":"⇑⪆122140⊉≛↸⇑⪆13134=⇑⪆244330","layer":3},{"info":"⇑⪆23221⩘⨬⇊=NaN","layer":3},{"info":"⇑⪆244330+⇶⊼NaN=NaN","layer":2},{"info":"⇑⪆1120⨰NaN=NaN","layer":1},{"info":"⇑⪆30431⪇≇⋚⇑⪆21441=⇑⪆0","layer":3},{"info":"⇑⪆131012⪃⊛⇣⇑⪆201410=⇑⪆14414","layer":3},{"info":"⇑⪆0⨎⇑⪆14414=⇑⪆14414","layer":2},{"info":"⊵⊁⇑⪆141343=⇑⪆2042033","layer":3},{"info":"⨆≐≲⇑⪆120010=⇑⪆44141214430","layer":3},{"info":"⇑⪆2042033⨥⫆⇑⪆44141214430=⇑⪆143332433411","layer":2},{"info":"⇑⪆14414⪄⇑⪆143332433411=⇑⪆-1240013110040","layer":1},{"info":"NaN≀⫉⇑⪆-1240013110040=NaN","layer":0}]}
{"id":685,"expression_no_base_symbol":"(⪫⨮⊛(($2518$∽$2780$)⪠⩆⊳))⫃⨇($1501$⊋$1182$⊉≛↸($5706$⫃⨇$1106$))⊕∕(⊄⩳↩$1440$∀⇚≩$3634$)","expression":"(⪫⨮⊛((⇑⪆40033∽⇑⪆42110)⪠⩆⊳))⫃⨇(⇑⪆22001⊋⇑⪆14212⊉≛↸(⇑⪆140311⫃⨇⇑⪆13411))⊕∕(⊄⩳↩⇑⪆21230∀⇚≩⇑⪆104014)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10872,"operation_count":10,"complexity_ratio":1087.2,"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":2518,"base":5},"right_expr":{"type":"numeric_atoms","value":2780,"base":5}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1501,"base":5},"right_expr":{"type":"numeric_atoms","value":1182,"base":5}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5706,"base":5},"right_expr":{"type":"numeric_atoms","value":1106,"base":5}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1440,"base":5},"right_expr":{"type":"numeric_atoms","value":3634,"base":5}}}}},"used_operators":["09Ly4LVMIf","w5FWba1tyO","JLbD19bQDL","y4ImoPnbV5","9cloC0Ngie","DZ8iAZOCBD","W4tP9CfskL","8w2t5hMYqp","LRNGc0VcxI"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","QMFrweE19q","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"⇑⪆-22430100400","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2518","layer":4},{"info":"number node, value=2780","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=2780, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-20752","layer":3},{"info":"compute unary expreesion, input=-20752, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=0","layer":1},{"info":"number node, value=1501","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=1501, right_input=1182, 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=3154696","layer":3},{"info":"number node, value=5706","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=5706, right_input=1106, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4456","layer":3},{"info":"compute binary expreesion, left_input=3154696, right_input=-4456, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6309392","layer":2},{"info":"number node, value=1440","layer":4},{"info":"number node, value=3634","layer":4},{"info":"compute binary expreesion, left_input=1440, right_input=3634, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6309392, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=6309392","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6309392, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-25237600","layer":0}],"base":5,"result_base":5,"text":"(⪫⨮⊛((⇑⪆40033∽⇑⪆42110)⪠⩆⊳))⫃⨇(⇑⪆22001⊋⇑⪆14212⊉≛↸(⇑⪆140311⫃⨇⇑⪆13411))⊕∕(⊄⩳↩⇑⪆21230∀⇚≩⇑⪆104014)=⇑⪆-22430100400","reverse_text":"⇑⪆-22430100400=(⪫⨮⊛((⇑⪆40033∽⇑⪆42110)⪠⩆⊳))⫃⨇(⇑⪆22001⊋⇑⪆14212⊉≛↸(⇑⪆140311⫃⨇⇑⪆13411))⊕∕(⊄⩳↩⇑⪆21230∀⇚≩⇑⪆104014)","cot":[{"info":"⇑⪆40033∽⇑⪆42110=⇑⪆-1131002","layer":3},{"info":"⇑⪆-1131002⪠⩆⊳=⇑⪆0","layer":2},{"info":"⪫⨮⊛⇑⪆0=⇑⪆0","layer":1},{"info":"⇑⪆22001⊋⇑⪆14212=⇑⪆1301422241","layer":3},{"info":"⇑⪆140311⫃⨇⇑⪆13411=⇑⪆-120311","layer":3},{"info":"⇑⪆1301422241⊉≛↸⇑⪆-120311=⇑⪆3103400032","layer":2},{"info":"⇑⪆21230∀⇚≩⇑⪆104014=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⇑⪆3103400032⊕∕NaN=⇑⪆3103400032","layer":1},{"info":"⇑⪆0⫃⨇⇑⪆3103400032=⇑⪆-22430100400","layer":0}]}
{"id":686,"expression_no_base_symbol":"($5061$↳∿⪆$5899$⪢(⩏⊷≩$7190$))⫉⨲⊜(⋃($1303$≧⫂∧$2298$))⪥(⋼∭⪍((⊆⋠$1158$)∷))","expression":"(⇑⪆130221↳∿⪆⇑⪆142044⪢(⩏⊷≩⇑⪆212230))⫉⨲⊜(⋃(⇑⪆20203≧⫂∧⇑⪆33143))⪥(⋼∭⪍((⊆⋠⇑⪆14113)∷))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16658,"operation_count":10,"complexity_ratio":1665.8,"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":5061,"base":5},"right_expr":{"type":"numeric_atoms","value":5899,"base":5}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":7190,"base":5}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1303,"base":5},"right_expr":{"type":"numeric_atoms","value":2298,"base":5}}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1158,"base":5}}}}},"used_operators":["QbnwKVWMIQ","WhqkvtTD3t","dWAJyo7jo9","Cw4SuJJGHO","uOZ1tnYMDE","3mBM5G4a3l","Ph9nP6C5qx","DbCuESL50I","nFAOW8KTqp","EBhcHTkKd8"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eewbuw0ToL","zVYPLywUTj","k8jYdgA6NY","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","23Mk6UjR3U","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5061","layer":4},{"info":"number node, value=5899","layer":4},{"info":"compute binary expreesion, left_input=5061, right_input=5899, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=7190","layer":4},{"info":"compute unary expreesion, input=7190, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=14079","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14079, 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=1303","layer":4},{"info":"number node, value=2298","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=2298, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1825","layer":3},{"info":"compute unary expreesion, input=1825, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=3752","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3752, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":1},{"info":"number node, value=1158","layer":4},{"info":"compute unary expreesion, input=1158, 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 = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=946","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=946, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆130221↳∿⪆⇑⪆142044⪢(⩏⊷≩⇑⪆212230))⫉⨲⊜(⋃(⇑⪆20203≧⫂∧⇑⪆33143))⪥(⋼∭⪍((⊆⋠⇑⪆14113)∷))=NaN","reverse_text":"NaN=(⇑⪆130221↳∿⪆⇑⪆142044⪢(⩏⊷≩⇑⪆212230))⫉⨲⊜(⋃(⇑⪆20203≧⫂∧⇑⪆33143))⪥(⋼∭⪍((⊆⋠⇑⪆14113)∷))","cot":[{"info":"⇑⪆130221↳∿⪆⇑⪆142044=NaN","layer":3},{"info":"⩏⊷≩⇑⪆212230=⇑⪆422304","layer":3},{"info":"NaN⪢⇑⪆422304=NaN","layer":2},{"info":"⇑⪆20203≧⫂∧⇑⪆33143=⇑⪆24300","layer":3},{"info":"⋃⇑⪆24300=⇑⪆110002","layer":2},{"info":"NaN⫉⨲⊜⇑⪆110002=NaN","layer":1},{"info":"⊆⋠⇑⪆14113=⇑⪆0","layer":3},{"info":"⇑⪆0∷=⇑⪆0","layer":2},{"info":"⋼∭⪍⇑⪆0=⇑⪆12241","layer":1},{"info":"NaN⪥⇑⪆12241=NaN","layer":0}]}
{"id":687,"expression_no_base_symbol":"(↴⪽⋼((⫛⫱⨽$3913$)⩹$1079$≎⊠⪸$3550$))⋭≵(⨈⪑($1521$⫸⇳$4771$⪁$6026$⨳⩥⨓$2405$))","expression":"(↴⪽⋼((⫛⫱⨽⇑⪆111123)⩹⇑⪆13304≎⊠⪸⇑⪆103200))⋭≵(⨈⪑(⇑⪆22041⫸⇳⇑⪆123041⪁⇑⪆143101⨳⩥⨓⇑⪆34110))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5504,"operation_count":9,"complexity_ratio":611.5555555555555,"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":3913,"base":5}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1079,"base":5},"right_expr":{"type":"numeric_atoms","value":3550,"base":5}}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1521,"base":5},"right_expr":{"type":"numeric_atoms","value":4771,"base":5}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6026,"base":5},"right_expr":{"type":"numeric_atoms","value":2405,"base":5}}}}},"used_operators":["jBncVCNhdl","5TUYCnJO6w","2Wsdkap16l","DlLNRPXxWL","bJkvcejdHO","mp94q5OcYM","I7sXao9hZE","gx7XJ7hdpj","nCS4ZIUYfx"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z"],"result":"⇑⪆232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3913","layer":4},{"info":"compute unary expreesion, input=3913, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1079","layer":4},{"info":"number node, value=3550","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=3550, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=278988","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=278988, 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=278986","layer":2},{"info":"compute unary expreesion, input=278986, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=278986","layer":1},{"info":"number node, value=1521","layer":4},{"info":"number node, value=4771","layer":4},{"info":"compute binary expreesion, left_input=1521, right_input=4771, 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=6026","layer":4},{"info":"number node, value=2405","layer":4},{"info":"compute binary expreesion, left_input=6026, right_input=2405, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3621","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3621, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=278986, right_input=868, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":0}],"base":5,"result_base":5,"text":"(↴⪽⋼((⫛⫱⨽⇑⪆111123)⩹⇑⪆13304≎⊠⪸⇑⪆103200))⋭≵(⨈⪑(⇑⪆22041⫸⇳⇑⪆123041⪁⇑⪆143101⨳⩥⨓⇑⪆34110))=⇑⪆232","reverse_text":"⇑⪆232=(↴⪽⋼((⫛⫱⨽⇑⪆111123)⩹⇑⪆13304≎⊠⪸⇑⪆103200))⋭≵(⨈⪑(⇑⪆22041⫸⇳⇑⪆123041⪁⇑⪆143101⨳⩥⨓⇑⪆34110))","cot":[{"info":"⫛⫱⨽⇑⪆111123=⇑⪆0","layer":3},{"info":"⇑⪆13304≎⊠⪸⇑⪆103200=⇑⪆32411423","layer":3},{"info":"⇑⪆0⩹⇑⪆32411423=⇑⪆32411421","layer":2},{"info":"↴⪽⋼⇑⪆32411421=⇑⪆32411421","layer":1},{"info":"⇑⪆22041⫸⇳⇑⪆123041=⇑⪆0","layer":3},{"info":"⇑⪆143101⨳⩥⨓⇑⪆34110=⇑⪆-103441","layer":3},{"info":"⇑⪆0⪁⇑⪆-103441=⇑⪆0","layer":2},{"info":"⨈⪑⇑⪆0=⇑⪆11433","layer":1},{"info":"⇑⪆32411421⋭≵⇑⪆11433=⇑⪆232","layer":0}]}
{"id":688,"expression_no_base_symbol":"(≪(($7420$⫲≸⪮$1811$)⩍⋽⫝̸($5095$⋷$1344$)))↤⩊((↞≼$1061$)⪘⫢(⊀$1770$)⪭≯$4497$⫘$3305$⪡(↪⫪⫘$6130$))","expression":"(≪((⇑⪆214140⫲≸⪮⇑⪆24221)⩍⋽⫝̸(⇑⪆130340⋷⇑⪆20334)))↤⩊((↞≼⇑⪆13221)⪘⫢(⊀⇑⪆24040)⪭≯⇑⪆120442⫘⇑⪆101210⪡(↪⫪⫘⇑⪆144010))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12878,"operation_count":12,"complexity_ratio":1073.1666666666667,"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":7420,"base":5},"right_expr":{"type":"numeric_atoms","value":1811,"base":5}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5095,"base":5},"right_expr":{"type":"numeric_atoms","value":1344,"base":5}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1061,"base":5}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1770,"base":5}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4497,"base":5},"right_expr":{"type":"numeric_atoms","value":3305,"base":5}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":6130,"base":5}}}}},"used_operators":["13rbtpv6ld","Qtd6bqUJcN","BiWNJpBvwn","P3lXMJvFrc","23Mk6UjR3U","XAx5wpdLa6","oacrs7FA3X","DE7zCoGJt9","oPMjh9089D","oraRL2iQuh","48vC8HMD2b","9dWsAM3GFt"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","Ph9nP6C5qx","xUOZtlo3hN","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7420","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=7420, right_input=1811, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=7420","layer":3},{"info":"number node, value=5095","layer":4},{"info":"number node, value=1344","layer":4},{"info":"compute binary expreesion, left_input=5095, right_input=1344, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2407","layer":3},{"info":"compute binary expreesion, left_input=7420, right_input=-2407, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=9354","layer":2},{"info":"compute unary expreesion, input=9354, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":1},{"info":"number node, value=1061","layer":4},{"info":"compute unary expreesion, input=1061, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=8074","layer":3},{"info":"number node, value=1770","layer":4},{"info":"compute unary expreesion, input=1770, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=6818","layer":3},{"info":"compute binary expreesion, left_input=8074, right_input=6818, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=16024","layer":2},{"info":"number node, value=4497","layer":4},{"info":"number node, value=3305","layer":4},{"info":"compute binary expreesion, left_input=4497, right_input=3305, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5292877","layer":3},{"info":"number node, value=6130","layer":4},{"info":"compute unary expreesion, input=6130, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=5292877, right_input=20, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=17","layer":2},{"info":"compute binary expreesion, left_input=16024, right_input=17, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=913, 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":5,"result_base":5,"text":"(≪((⇑⪆214140⫲≸⪮⇑⪆24221)⩍⋽⫝̸(⇑⪆130340⋷⇑⪆20334)))↤⩊((↞≼⇑⪆13221)⪘⫢(⊀⇑⪆24040)⪭≯⇑⪆120442⫘⇑⪆101210⪡(↪⫪⫘⇑⪆144010))=NaN","reverse_text":"NaN=(≪((⇑⪆214140⫲≸⪮⇑⪆24221)⩍⋽⫝̸(⇑⪆130340⋷⇑⪆20334)))↤⩊((↞≼⇑⪆13221)⪘⫢(⊀⇑⪆24040)⪭≯⇑⪆120442⫘⇑⪆101210⪡(↪⫪⫘⇑⪆144010))","cot":[{"info":"⇑⪆214140⫲≸⪮⇑⪆24221=⇑⪆214140","layer":3},{"info":"⇑⪆130340⋷⇑⪆20334=⇑⪆-34112","layer":3},{"info":"⇑⪆214140⩍⋽⫝̸⇑⪆-34112=⇑⪆244404","layer":2},{"info":"≪⇑⪆244404=⇑⪆12123","layer":1},{"info":"↞≼⇑⪆13221=⇑⪆224244","layer":3},{"info":"⊀⇑⪆24040=⇑⪆204233","layer":3},{"info":"⇑⪆224244⪘⫢⇑⪆204233=⇑⪆1003044","layer":2},{"info":"⇑⪆120442⫘⇑⪆101210=⇑⪆2323333002","layer":3},{"info":"↪⫪⫘⇑⪆144010=⇑⪆40","layer":3},{"info":"⇑⪆2323333002⪡⇑⪆40=⇑⪆32","layer":2},{"info":"⇑⪆1003044⪭≯⇑⪆32=NaN","layer":1},{"info":"⇑⪆12123↤⩊NaN=NaN","layer":0}]}
{"id":689,"expression_no_base_symbol":"(($3796$⪒⊣⊆$3939$⋳⪒$2046$⩒⫫$6182$)⊉↱≁(⊈$4607$)⇂≾⫗($2083$⪡$3517$))⨘","expression":"((⇑⪆110141⪒⊣⊆⇑⪆111224⋳⪒⇑⪆31141⩒⫫⇑⪆144212)⊉↱≁(⊈⇑⪆121412)⇂≾⫗(⇑⪆31313⪡⇑⪆103032))⨘","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":135676,"operation_count":8,"complexity_ratio":16959.5,"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":3796,"base":5},"right_expr":{"type":"numeric_atoms","value":3939,"base":5}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2046,"base":5},"right_expr":{"type":"numeric_atoms","value":6182,"base":5}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":4607,"base":5}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2083,"base":5},"right_expr":{"type":"numeric_atoms","value":3517,"base":5}}}}},"used_operators":["ljcfZBUpm8","w2P8NbNXyL","12rbrZMWeM","eRqsBgTDFp","KFSx94NKJn","aBQ6xLxuTc","RHru8klgy8","oraRL2iQuh"],"dependent_operators":["40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","12rbrZMWeM","xUOZtlo3hN","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"⇑⪆-220341023","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3796","layer":4},{"info":"number node, value=3939","layer":4},{"info":"compute binary expreesion, left_input=3796, right_input=3939, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=7592","layer":3},{"info":"number node, value=2046","layer":4},{"info":"number node, value=6182","layer":4},{"info":"compute binary expreesion, left_input=2046, right_input=6182, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1744","layer":3},{"info":"compute binary expreesion, left_input=7592, right_input=1744, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=13153","layer":2},{"info":"number node, value=4607","layer":4},{"info":"compute unary expreesion, input=4607, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-4781","layer":3},{"info":"number node, value=2083","layer":4},{"info":"number node, value=3517","layer":4},{"info":"compute binary expreesion, left_input=2083, right_input=3517, 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=-4781, right_input=107, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=13153, right_input=-676, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=135534","layer":1},{"info":"compute unary expreesion, input=135534, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-949513","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆110141⪒⊣⊆⇑⪆111224⋳⪒⇑⪆31141⩒⫫⇑⪆144212)⊉↱≁(⊈⇑⪆121412)⇂≾⫗(⇑⪆31313⪡⇑⪆103032))⨘=⇑⪆-220341023","reverse_text":"⇑⪆-220341023=((⇑⪆110141⪒⊣⊆⇑⪆111224⋳⪒⇑⪆31141⩒⫫⇑⪆144212)⊉↱≁(⊈⇑⪆121412)⇂≾⫗(⇑⪆31313⪡⇑⪆103032))⨘","cot":[{"info":"⇑⪆110141⪒⊣⊆⇑⪆111224=⇑⪆220332","layer":3},{"info":"⇑⪆31141⩒⫫⇑⪆144212=⇑⪆23434","layer":3},{"info":"⇑⪆220332⋳⪒⇑⪆23434=⇑⪆410103","layer":2},{"info":"⊈⇑⪆121412=⇑⪆-123111","layer":3},{"info":"⇑⪆31313⪡⇑⪆103032=⇑⪆412","layer":3},{"info":"⇑⪆-123111⇂≾⫗⇑⪆412=⇑⪆-10201","layer":2},{"info":"⇑⪆410103⊉↱≁⇑⪆-10201=⇑⪆13314114","layer":1},{"info":"⇑⪆13314114⨘=⇑⪆-220341023","layer":0}]}
{"id":690,"expression_no_base_symbol":"(($2586$≳⇉$1602$)↳∿⪆($3287$⨴∎)⨪↰⇹($1305$⇻⋧≁$2049$+$1024$⨼⩣$1002$))∋(($1084$/$1518$)⨓($2486$⇐≅)⫃⨇(⇖⫷⫕$3239$)⋣⋖($3666$∲⫓$1062$))","expression":"((⇑⪆40321≳⇉⇑⪆22402)↳∿⪆(⇑⪆101122⨴∎)⨪↰⇹(⇑⪆20210⇻⋧≁⇑⪆31144+⇑⪆13044⨼⩣⇑⪆13002))∋((⇑⪆13314/⇑⪆22033)⨓(⇑⪆34421⇐≅)⫃⨇(⇖⫷⫕⇑⪆100424)⋣⋖(⇑⪆104131∲⫓⇑⪆13222))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":46458841,"operation_count":15,"complexity_ratio":3097256.066666667,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2586,"base":5},"right_expr":{"type":"numeric_atoms","value":1602,"base":5}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":3287,"base":5}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1305,"base":5},"right_expr":{"type":"numeric_atoms","value":2049,"base":5}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1024,"base":5},"right_expr":{"type":"numeric_atoms","value":1002,"base":5}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1084,"base":5},"right_expr":{"type":"numeric_atoms","value":1518,"base":5}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":2486,"base":5}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":3239,"base":5}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3666,"base":5},"right_expr":{"type":"numeric_atoms","value":1062,"base":5}}}}},"used_operators":["ukq6epAj5P","tmPS8pqC7x","Cw4SuJJGHO","V0kx6qeWkN","CpSg5vQTgA","W4YGzv6Whe","jCPkEVoL5K","JxwMv5le6e","09Ly4LVMIf","3ViojmjbAp","XhwjNDsVaA","wEfv7U73WA","J0M6qkBnIM","UHmRx3INFg","i8ToyICDmI"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","rJVOvQCfKK","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2586","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=2586, right_input=1602, 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=3287","layer":4},{"info":"compute unary expreesion, input=3287, 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=nan, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=1305","layer":4},{"info":"number node, value=2049","layer":4},{"info":"compute binary expreesion, left_input=1305, right_input=2049, 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=1024","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=1002, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1084","layer":4},{"info":"number node, value=1518","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=1518, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2486","layer":4},{"info":"compute unary expreesion, input=2486, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=7426","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7426, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7429","layer":2},{"info":"number node, value=3239","layer":4},{"info":"compute unary expreesion, input=3239, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=3666","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=3666, right_input=1062, 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=2822, right_input=0, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-7429, right_input=2822, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-11320","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-11320, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆40321≳⇉⇑⪆22402)↳∿⪆(⇑⪆101122⨴∎)⨪↰⇹(⇑⪆20210⇻⋧≁⇑⪆31144+⇑⪆13044⨼⩣⇑⪆13002))∋((⇑⪆13314/⇑⪆22033)⨓(⇑⪆34421⇐≅)⫃⨇(⇖⫷⫕⇑⪆100424)⋣⋖(⇑⪆104131∲⫓⇑⪆13222))=NaN","reverse_text":"NaN=((⇑⪆40321≳⇉⇑⪆22402)↳∿⪆(⇑⪆101122⨴∎)⨪↰⇹(⇑⪆20210⇻⋧≁⇑⪆31144+⇑⪆13044⨼⩣⇑⪆13002))∋((⇑⪆13314/⇑⪆22033)⨓(⇑⪆34421⇐≅)⫃⨇(⇖⫷⫕⇑⪆100424)⋣⋖(⇑⪆104131∲⫓⇑⪆13222))","cot":[{"info":"⇑⪆40321≳⇉⇑⪆22402=NaN","layer":3},{"info":"⇑⪆101122⨴∎=NaN","layer":3},{"info":"NaN↳∿⪆NaN=NaN","layer":2},{"info":"⇑⪆20210⇻⋧≁⇑⪆31144=⇑⪆-3242","layer":3},{"info":"⇑⪆13044⨼⩣⇑⪆13002=NaN","layer":3},{"info":"⇑⪆-3242+NaN=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"⇑⪆13314/⇑⪆22033=⇑⪆0","layer":3},{"info":"⇑⪆34421⇐≅=⇑⪆214201","layer":3},{"info":"⇑⪆0⨓⇑⪆214201=⇑⪆-214204","layer":2},{"info":"⇖⫷⫕⇑⪆100424=⇑⪆42242","layer":3},{"info":"⇑⪆104131∲⫓⇑⪆13222=⇑⪆0","layer":3},{"info":"⇑⪆42242⋣⋖⇑⪆0=⇑⪆42242","layer":2},{"info":"⇑⪆-214204⫃⨇⇑⪆42242=⇑⪆-330240","layer":1},{"info":"NaN∋⇑⪆-330240=NaN","layer":0}]}
{"id":691,"expression_no_base_symbol":"(($1550$⊋$4573$)⫁($2135$≨$7287$)⨪↰⇹(⩷$4784$)∣($3019$≠≀$3300$))⨑⩅≇(($1335$⊲⩕⊾$2686$⫭)∲⫓(($5290$⋻⩜⩜$1971$)⨕⋳))","expression":"((⇑⪆22200⊋⇑⪆121243)⫁(⇑⪆32020≨⇑⪆213122)⨪↰⇹(⩷⇑⪆123114)∣(⇑⪆44034≠≀⇑⪆101200))⨑⩅≇((⇑⪆20320⊲⩕⊾⇑⪆41221⫭)∲⫓((⇑⪆132130⋻⩜⩜⇑⪆30341)⨕⋳))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":90746,"operation_count":13,"complexity_ratio":6980.461538461538,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1550,"base":5},"right_expr":{"type":"numeric_atoms","value":4573,"base":5}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2135,"base":5},"right_expr":{"type":"numeric_atoms","value":7287,"base":5}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":4784,"base":5}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3019,"base":5},"right_expr":{"type":"numeric_atoms","value":3300,"base":5}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1335,"base":5},"right_expr":{"type":"numeric_atoms","value":2686,"base":5}}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5290,"base":5},"right_expr":{"type":"numeric_atoms","value":1971,"base":5}}}}},"used_operators":["h92wMvzauj","tmPS8pqC7x","0ajvFaJAv0","W4tP9CfskL","0KMCeP1Jsh","PPChnnnBFF","1h0rLqGiFr","IwW236VD4Y","i8ToyICDmI","t4WUHVGj7f","DmTXOeWf9t","4X4GscPmMf","oDCm7WA9JY"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rJVOvQCfKK","cHh1gJQ2o6","AHs5Up7iyr","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⇑⪆-3410","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1550","layer":4},{"info":"number node, value=4573","layer":4},{"info":"compute binary expreesion, left_input=1550, right_input=4573, 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=-107244960","layer":3},{"info":"number node, value=2135","layer":4},{"info":"number node, value=7287","layer":4},{"info":"compute binary expreesion, left_input=2135, right_input=7287, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-18874","layer":3},{"info":"compute binary expreesion, left_input=-107244960, right_input=-18874, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=4784","layer":4},{"info":"compute unary expreesion, input=4784, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-57487","layer":3},{"info":"number node, value=3019","layer":4},{"info":"number node, value=3300","layer":4},{"info":"compute binary expreesion, left_input=3019, right_input=3300, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5732","layer":3},{"info":"compute binary expreesion, left_input=-57487, right_input=-5732, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=57971","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=57971, 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=1335","layer":4},{"info":"number node, value=2686","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=2686, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-44850","layer":3},{"info":"compute unary expreesion, input=-44850, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=-134309","layer":2},{"info":"number node, value=5290","layer":4},{"info":"number node, value=1971","layer":4},{"info":"compute binary expreesion, left_input=5290, right_input=1971, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=10580","layer":3},{"info":"compute unary expreesion, input=10580, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=850668","layer":2},{"info":"compute binary expreesion, left_input=-134309, right_input=850668, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=160, 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=-480","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆22200⊋⇑⪆121243)⫁(⇑⪆32020≨⇑⪆213122)⨪↰⇹(⩷⇑⪆123114)∣(⇑⪆44034≠≀⇑⪆101200))⨑⩅≇((⇑⪆20320⊲⩕⊾⇑⪆41221⫭)∲⫓((⇑⪆132130⋻⩜⩜⇑⪆30341)⨕⋳))=⇑⪆-3410","reverse_text":"⇑⪆-3410=((⇑⪆22200⊋⇑⪆121243)⫁(⇑⪆32020≨⇑⪆213122)⨪↰⇹(⩷⇑⪆123114)∣(⇑⪆44034≠≀⇑⪆101200))⨑⩅≇((⇑⪆20320⊲⩕⊾⇑⪆41221⫭)∲⫓((⇑⪆132130⋻⩜⩜⇑⪆30341)⨕⋳))","cot":[{"info":"⇑⪆22200⊋⇑⪆121243=⇑⪆-204423314320","layer":3},{"info":"⇑⪆32020≨⇑⪆213122=⇑⪆-1100444","layer":3},{"info":"⇑⪆-204423314320⫁⇑⪆-1100444=⇑⪆1120","layer":2},{"info":"⩷⇑⪆123114=⇑⪆-3314422","layer":3},{"info":"⇑⪆44034≠≀⇑⪆101200=⇑⪆-140412","layer":3},{"info":"⇑⪆-3314422∣⇑⪆-140412=⇑⪆3323341","layer":2},{"info":"⇑⪆1120⨪↰⇹⇑⪆3323341=⇑⪆1120","layer":1},{"info":"⇑⪆20320⊲⩕⊾⇑⪆41221=⇑⪆-2413400","layer":3},{"info":"⇑⪆-2413400⫭=⇑⪆-13244214","layer":2},{"info":"⇑⪆132130⋻⩜⩜⇑⪆30341=⇑⪆314310","layer":3},{"info":"⇑⪆314310⨕⋳=⇑⪆204210133","layer":2},{"info":"⇑⪆-13244214∲⫓⇑⪆204210133=⇑⪆0","layer":1},{"info":"⇑⪆1120⨑⩅≇⇑⪆0=⇑⪆-3410","layer":0}]}
{"id":692,"expression_no_base_symbol":"($1184$⪍↜⋙$3028$⊭∹↮)⊱⇼⊻($4412$+$1580$)≌($5135$⋥⋵⩄$1782$)⊭↱((⨂⪏⇭$1159$)⪡($1712$⪄$1220$))⨑⩅≇(($3954$⫑)⇴∐($5835$⫸⇳$1467$))","expression":"(⇑⪆14214⪍↜⋙⇑⪆44103⊭∹↮)⊱⇼⊻(⇑⪆120122+⇑⪆22310)≌(⇑⪆131020⋥⋵⩄⇑⪆24112)⊭↱((⨂⪏⇭⇑⪆14114)⪡(⇑⪆23322⪄⇑⪆14340))⨑⩅≇((⇑⪆111304⫑)⇴∐(⇑⪆141320⫸⇳⇑⪆21332))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":14159,"operation_count":14,"complexity_ratio":1011.3571428571429,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1184,"base":5},"right_expr":{"type":"numeric_atoms","value":3028,"base":5}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4412,"base":5},"right_expr":{"type":"numeric_atoms","value":1580,"base":5}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":5135,"base":5},"right_expr":{"type":"numeric_atoms","value":1782,"base":5}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1159,"base":5}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1712,"base":5},"right_expr":{"type":"numeric_atoms","value":1220,"base":5}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":3954,"base":5}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":5835,"base":5},"right_expr":{"type":"numeric_atoms","value":1467,"base":5}}}}},"used_operators":["COABgblf1C","FyVja0WsTP","xNBdhnnwKq","L05ObWFQCd","lyWz822IDG","W4YGzv6Whe","7t3wd0Fuz7","h92wMvzauj","oraRL2iQuh","AYdpE9sXAk","SUmda5xLS4","HnzytWxmAO","CgIo77xlM2","gx7XJ7hdpj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"⇑⪆-11240320","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1184","layer":4},{"info":"number node, value=3028","layer":4},{"info":"compute binary expreesion, left_input=1184, right_input=3028, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-12759","layer":3},{"info":"compute unary expreesion, input=-12759, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-12759","layer":2},{"info":"number node, value=4412","layer":4},{"info":"number node, value=1580","layer":4},{"info":"compute binary expreesion, left_input=4412, right_input=1580, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5992","layer":3},{"info":"number node, value=5135","layer":4},{"info":"number node, value=1782","layer":4},{"info":"compute binary expreesion, left_input=5135, right_input=1782, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=5992, 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":"compute binary expreesion, left_input=-12759, right_input=9544, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=51240","layer":1},{"info":"number node, value=1159","layer":4},{"info":"compute unary expreesion, input=1159, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=2498","layer":3},{"info":"number node, value=1712","layer":4},{"info":"number node, value=1220","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=1220, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-254345","layer":3},{"info":"compute binary expreesion, left_input=2498, right_input=-254345, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-254240","layer":2},{"info":"number node, value=3954","layer":4},{"info":"compute unary expreesion, input=3954, 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=5835","layer":4},{"info":"number node, value=1467","layer":4},{"info":"compute binary expreesion, left_input=5835, right_input=1467, 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=3979, right_input=0, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=4652","layer":2},{"info":"compute binary expreesion, left_input=-254240, right_input=4652, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=51240, right_input=-55, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-102585","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆14214⪍↜⋙⇑⪆44103⊭∹↮)⊱⇼⊻(⇑⪆120122+⇑⪆22310)≌(⇑⪆131020⋥⋵⩄⇑⪆24112)⊭↱((⨂⪏⇭⇑⪆14114)⪡(⇑⪆23322⪄⇑⪆14340))⨑⩅≇((⇑⪆111304⫑)⇴∐(⇑⪆141320⫸⇳⇑⪆21332))=⇑⪆-11240320","reverse_text":"⇑⪆-11240320=(⇑⪆14214⪍↜⋙⇑⪆44103⊭∹↮)⊱⇼⊻(⇑⪆120122+⇑⪆22310)≌(⇑⪆131020⋥⋵⩄⇑⪆24112)⊭↱((⨂⪏⇭⇑⪆14114)⪡(⇑⪆23322⪄⇑⪆14340))⨑⩅≇((⇑⪆111304⫑)⇴∐(⇑⪆141320⫸⇳⇑⪆21332))","cot":[{"info":"⇑⪆14214⪍↜⋙⇑⪆44103=⇑⪆-402014","layer":3},{"info":"⇑⪆-402014⊭∹↮=⇑⪆-402014","layer":2},{"info":"⇑⪆120122+⇑⪆22310=⇑⪆142432","layer":3},{"info":"⇑⪆131020⋥⋵⩄⇑⪆24112=⇑⪆423","layer":3},{"info":"⇑⪆142432≌⇑⪆423=⇑⪆301134","layer":2},{"info":"⇑⪆-402014⊱⇼⊻⇑⪆301134=⇑⪆3114430","layer":1},{"info":"⨂⪏⇭⇑⪆14114=⇑⪆34443","layer":3},{"info":"⇑⪆23322⪄⇑⪆14340=⇑⪆-31114340","layer":3},{"info":"⇑⪆34443⪡⇑⪆-31114340=⇑⪆-31113430","layer":2},{"info":"⇑⪆111304⫑=⇑⪆111404","layer":3},{"info":"⇑⪆141320⫸⇳⇑⪆21332=⇑⪆0","layer":3},{"info":"⇑⪆111404⇴∐⇑⪆0=⇑⪆122102","layer":2},{"info":"⇑⪆-31113430⨑⩅≇⇑⪆122102=⇑⪆-210","layer":1},{"info":"⇑⪆3114430⊭↱⇑⪆-210=⇑⪆-11240320","layer":0}]}
{"id":693,"expression_no_base_symbol":"≸(⪹$2756$⪮%⊝$1753$⪛$1735$⪃⊛⇣$5942$)","expression":"≸(⪹⇑⪆42011⪮%⊝⇑⪆24003⪛⇑⪆23420⪃⊛⇣⇑⪆142232)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1333,"operation_count":5,"complexity_ratio":266.6,"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":2756,"base":5},"right_expr":{"type":"numeric_atoms","value":1753,"base":5}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1735,"base":5},"right_expr":{"type":"numeric_atoms","value":5942,"base":5}}}}},"used_operators":["eOf03JbCpp","USyYr0JgAa","uFcxV4UQCh","IWmyXbctLI","rrgAzCduG9"],"dependent_operators":["WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","tifHPKVTfV","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"⇑⪆12333","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2756","layer":4},{"info":"number node, value=1753","layer":4},{"info":"compute binary expreesion, left_input=2756, right_input=1753, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5828","layer":3},{"info":"number node, value=1735","layer":4},{"info":"number node, value=5942","layer":4},{"info":"compute binary expreesion, left_input=1735, right_input=5942, 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=5828, right_input=1234, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=892","layer":2},{"info":"compute unary expreesion, input=892, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-712","layer":1},{"info":"compute unary expreesion, input=-712, 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":0}],"base":5,"result_base":5,"text":"≸(⪹⇑⪆42011⪮%⊝⇑⪆24003⪛⇑⪆23420⪃⊛⇣⇑⪆142232)=⇑⪆12333","reverse_text":"⇑⪆12333=≸(⪹⇑⪆42011⪮%⊝⇑⪆24003⪛⇑⪆23420⪃⊛⇣⇑⪆142232)","cot":[{"info":"⇑⪆42011⪮%⊝⇑⪆24003=⇑⪆141303","layer":3},{"info":"⇑⪆23420⪃⊛⇣⇑⪆142232=⇑⪆14414","layer":3},{"info":"⇑⪆141303⪛⇑⪆14414=⇑⪆12032","layer":2},{"info":"⪹⇑⪆12032=⇑⪆-10322","layer":1},{"info":"≸⇑⪆-10322=⇑⪆12333","layer":0}]}
{"id":694,"expression_no_base_symbol":"(($3882$≃⋄)↞⋁($5243$∋$2134$)⋖∅⋲)⪍↜⋙(($2961$⋅⇍$1961$)⨎($5747$⫥∨⫟$4323$))∀⇚≩(($3580$⫑)↸(⊈$1545$))","expression":"((⇑⪆111012≃⋄)↞⋁(⇑⪆131433∋⇑⪆32014)⋖∅⋲)⪍↜⋙((⇑⪆43321⋅⇍⇑⪆30321)⨎(⇑⪆140442⫥∨⫟⇑⪆114243))∀⇚≩((⇑⪆103310⫑)↸(⊈⇑⪆22140))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2375,"operation_count":12,"complexity_ratio":197.91666666666666,"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":3882,"base":5}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":5243,"base":5},"right_expr":{"type":"numeric_atoms","value":2134,"base":5}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2961,"base":5},"right_expr":{"type":"numeric_atoms","value":1961,"base":5}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5747,"base":5},"right_expr":{"type":"numeric_atoms","value":4323,"base":5}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":3580,"base":5}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1545,"base":5}}}}},"used_operators":["L05ObWFQCd","L95AwlJzhO","RqrPlJkxDo","aN9a90urxU","ukq6epAj5P","LRNGc0VcxI","rJVOvQCfKK","AdZkA7nFnk","KYD54nUTWz","1eCjFl0mb9","CgIo77xlM2","RHru8klgy8"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","uFcxV4UQCh","jLgFTUHLKL","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","X99M06cbEe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","12rbrZMWeM","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3882","layer":4},{"info":"compute unary expreesion, input=3882, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"number node, value=5243","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=5243, right_input=2134, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4640612","layer":3},{"info":"compute binary expreesion, left_input=764, right_input=4640612, 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 = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=nan","layer":1},{"info":"number node, value=2961","layer":4},{"info":"number node, value=1961","layer":4},{"info":"compute binary expreesion, left_input=2961, right_input=1961, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=5747","layer":4},{"info":"number node, value=4323","layer":4},{"info":"compute binary expreesion, left_input=5747, right_input=4323, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"number node, value=3580","layer":4},{"info":"compute unary expreesion, input=3580, 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=1545","layer":4},{"info":"compute unary expreesion, input=1545, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1719","layer":3},{"info":"compute binary expreesion, left_input=3979, right_input=-1719, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3979, 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 = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆111012≃⋄)↞⋁(⇑⪆131433∋⇑⪆32014)⋖∅⋲)⪍↜⋙((⇑⪆43321⋅⇍⇑⪆30321)⨎(⇑⪆140442⫥∨⫟⇑⪆114243))∀⇚≩((⇑⪆103310⫑)↸(⊈⇑⪆22140))=NaN","reverse_text":"NaN=((⇑⪆111012≃⋄)↞⋁(⇑⪆131433∋⇑⪆32014)⋖∅⋲)⪍↜⋙((⇑⪆43321⋅⇍⇑⪆30321)⨎(⇑⪆140442⫥∨⫟⇑⪆114243))∀⇚≩((⇑⪆103310⫑)↸(⊈⇑⪆22140))","cot":[{"info":"⇑⪆111012≃⋄=⇑⪆11024","layer":3},{"info":"⇑⪆131433∋⇑⪆32014=⇑⪆2141444422","layer":3},{"info":"⇑⪆11024↞⋁⇑⪆2141444422=NaN","layer":2},{"info":"NaN⋖∅⋲=NaN","layer":1},{"info":"⇑⪆43321⋅⇍⇑⪆30321=⇑⪆-42","layer":3},{"info":"⇑⪆140442⫥∨⫟⇑⪆114243=NaN","layer":3},{"info":"⇑⪆-42⨎NaN=NaN","layer":2},{"info":"⇑⪆103310⫑=⇑⪆111404","layer":3},{"info":"⊈⇑⪆22140=⇑⪆-23334","layer":3},{"info":"⇑⪆111404↸⇑⪆-23334=⇑⪆111404","layer":2},{"info":"NaN∀⇚≩⇑⪆111404=NaN","layer":1},{"info":"NaN⪍↜⋙NaN=NaN","layer":0}]}
{"id":695,"expression_no_base_symbol":"(($1353$≎⊠⪸$7844$)≌($2707$↳∿⪆$2720$)∽($2111$∽$3176$)⊢(≯$1294$))⋻⩜⩜($7297$∛$2021$↺$1148$∣$1632$)⪚(≯(↞≼$3385$))","expression":"((⇑⪆20403≎⊠⪸⇑⪆222334)≌(⇑⪆41312↳∿⪆⇑⪆41340)∽(⇑⪆31421∽⇑⪆100201)⊢(≯⇑⪆20134))⋻⩜⩜(⇑⪆213142∛⇑⪆31041↺⇑⪆14043∣⇑⪆23012)⪚(≯(↞≼⇑⪆102020))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":30143,"operation_count":14,"complexity_ratio":2153.0714285714284,"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":1353,"base":5},"right_expr":{"type":"numeric_atoms","value":7844,"base":5}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2707,"base":5},"right_expr":{"type":"numeric_atoms","value":2720,"base":5}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2111,"base":5},"right_expr":{"type":"numeric_atoms","value":3176,"base":5}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1294,"base":5}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":7297,"base":5},"right_expr":{"type":"numeric_atoms","value":2021,"base":5}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1148,"base":5},"right_expr":{"type":"numeric_atoms","value":1632,"base":5}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":3385,"base":5}}}}},"used_operators":["oDCm7WA9JY","y4ImoPnbV5","lyWz822IDG","bJkvcejdHO","Cw4SuJJGHO","5twsqlHp2o","keWfFq85dY","HrjLwUk87U","7j4O788W3g","w2537kitQq","PPChnnnBFF","DE7zCoGJt9"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","NTOWxs364D","QMFrweE19q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","g55IO6H4Gj","JLbD19bQDL","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1353","layer":4},{"info":"number node, value=7844","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=7844, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=349954","layer":3},{"info":"number node, value=2707","layer":4},{"info":"number node, value=2720","layer":4},{"info":"compute binary expreesion, left_input=2707, right_input=2720, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=349954, 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":"number node, value=2111","layer":4},{"info":"number node, value=3176","layer":4},{"info":"compute binary expreesion, left_input=2111, right_input=3176, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-19905","layer":3},{"info":"number node, value=1294","layer":4},{"info":"compute unary expreesion, input=1294, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-19905, right_input=0, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=39566","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=39566, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"number node, value=7297","layer":4},{"info":"number node, value=2021","layer":4},{"info":"compute binary expreesion, left_input=7297, right_input=2021, 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=1148","layer":4},{"info":"number node, value=1632","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=1632, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1148","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=1148, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1148","layer":2},{"info":"number node, value=3385","layer":4},{"info":"compute unary expreesion, input=3385, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=26666","layer":3},{"info":"compute unary expreesion, input=26666, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1148, right_input=0, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=1940","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1940, 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":5,"result_base":5,"text":"((⇑⪆20403≎⊠⪸⇑⪆222334)≌(⇑⪆41312↳∿⪆⇑⪆41340)∽(⇑⪆31421∽⇑⪆100201)⊢(≯⇑⪆20134))⋻⩜⩜(⇑⪆213142∛⇑⪆31041↺⇑⪆14043∣⇑⪆23012)⪚(≯(↞≼⇑⪆102020))=NaN","reverse_text":"NaN=((⇑⪆20403≎⊠⪸⇑⪆222334)≌(⇑⪆41312↳∿⪆⇑⪆41340)∽(⇑⪆31421∽⇑⪆100201)⊢(≯⇑⪆20134))⋻⩜⩜(⇑⪆213142∛⇑⪆31041↺⇑⪆14043∣⇑⪆23012)⪚(≯(↞≼⇑⪆102020))","cot":[{"info":"⇑⪆20403≎⊠⪸⇑⪆222334=⇑⪆42144304","layer":3},{"info":"⇑⪆41312↳∿⪆⇑⪆41340=NaN","layer":3},{"info":"⇑⪆42144304≌NaN=NaN","layer":2},{"info":"⇑⪆31421∽⇑⪆100201=⇑⪆-1114110","layer":3},{"info":"≯⇑⪆20134=⇑⪆0","layer":3},{"info":"⇑⪆-1114110⊢⇑⪆0=⇑⪆2231231","layer":2},{"info":"NaN∽⇑⪆2231231=NaN","layer":1},{"info":"⇑⪆213142∛⇑⪆31041=⇑⪆-10140","layer":3},{"info":"⇑⪆14043∣⇑⪆23012=⇑⪆14043","layer":3},{"info":"⇑⪆-10140↺⇑⪆14043=⇑⪆14043","layer":2},{"info":"↞≼⇑⪆102020=⇑⪆1323131","layer":3},{"info":"≯⇑⪆1323131=⇑⪆0","layer":2},{"info":"⇑⪆14043⪚⇑⪆0=⇑⪆30230","layer":1},{"info":"NaN⋻⩜⩜⇑⪆30230=NaN","layer":0}]}
{"id":696,"expression_no_base_symbol":"(↸⊣((⨮↦↱$5424$)∖$6399$⋹⋡⊁$1614$))⊲⩕⊾($6900$⨫⇇↔$3913$⪉⨛($1922$⨝⩣∺))⨚($3817$⋛$4983$⫚↹⊑($1192$⇆⨓≜))","expression":"(↸⊣((⨮↦↱⇑⪆133144)∖⇑⪆201044⋹⋡⊁⇑⪆22424))⊲⩕⊾(⇑⪆210100⨫⇇↔⇑⪆111123⪉⨛(⇑⪆30142⨝⩣∺))⨚(⇑⪆110232⋛⇑⪆124413⫚↹⊑(⇑⪆14232⇆⨓≜))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":68406,"operation_count":12,"complexity_ratio":5700.5,"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":5424,"base":5}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":6399,"base":5},"right_expr":{"type":"numeric_atoms","value":1614,"base":5}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":6900,"base":5},"right_expr":{"type":"numeric_atoms","value":3913,"base":5}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":1922,"base":5}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3817,"base":5},"right_expr":{"type":"numeric_atoms","value":4983,"base":5}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1192,"base":5}}}}},"used_operators":["DmTXOeWf9t","wztAlM01eG","tXD093vOjl","sYcpBQ0cFf","As8RqfVLgs","nREPSIbpBE","EWw2JM7wp4","LXhwmt4mBO","ancx8kZcWl","dfKe02y8D2","YbUVn0Rbpy","KvvgdUaMHJ"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","BjRHVeLaeN","12rbrZMWeM","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","DZ8iAZOCBD","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Uaa54Peajs","KYD54nUTWz"],"result":"⇑⪆-24232140","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5424","layer":4},{"info":"compute unary expreesion, input=5424, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-72983466","layer":3},{"info":"number node, value=6399","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=6399, right_input=1614, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2364","layer":3},{"info":"compute binary expreesion, left_input=-72983466, right_input=2364, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=0","layer":1},{"info":"number node, value=6900","layer":4},{"info":"number node, value=3913","layer":4},{"info":"compute binary expreesion, left_input=6900, right_input=3913, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1922","layer":4},{"info":"compute unary expreesion, input=1922, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-3844","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=-3844, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=10166","layer":2},{"info":"number node, value=3817","layer":4},{"info":"number node, value=4983","layer":4},{"info":"compute binary expreesion, left_input=3817, right_input=4983, 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=-97839","layer":3},{"info":"number node, value=1192","layer":4},{"info":"compute unary expreesion, input=1192, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-97839, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=10166, right_input=-447, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=23054","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=23054, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-227170","layer":0}],"base":5,"result_base":5,"text":"(↸⊣((⨮↦↱⇑⪆133144)∖⇑⪆201044⋹⋡⊁⇑⪆22424))⊲⩕⊾(⇑⪆210100⨫⇇↔⇑⪆111123⪉⨛(⇑⪆30142⨝⩣∺))⨚(⇑⪆110232⋛⇑⪆124413⫚↹⊑(⇑⪆14232⇆⨓≜))=⇑⪆-24232140","reverse_text":"⇑⪆-24232140=(↸⊣((⨮↦↱⇑⪆133144)∖⇑⪆201044⋹⋡⊁⇑⪆22424))⊲⩕⊾(⇑⪆210100⨫⇇↔⇑⪆111123⪉⨛(⇑⪆30142⨝⩣∺))⨚(⇑⪆110232⋛⇑⪆124413⫚↹⊑(⇑⪆14232⇆⨓≜))","cot":[{"info":"⨮↦↱⇑⪆133144=⇑⪆-122140432331","layer":3},{"info":"⇑⪆201044⋹⋡⊁⇑⪆22424=⇑⪆33424","layer":3},{"info":"⇑⪆-122140432331∖⇑⪆33424=⇑⪆0","layer":2},{"info":"↸⊣⇑⪆0=⇑⪆0","layer":1},{"info":"⇑⪆210100⨫⇇↔⇑⪆111123=⇑⪆-4102","layer":3},{"info":"⇑⪆30142⨝⩣∺=⇑⪆-110334","layer":3},{"info":"⇑⪆-4102⪉⨛⇑⪆-110334=⇑⪆311131","layer":2},{"info":"⇑⪆110232⋛⇑⪆124413=⇑⪆-11112324","layer":3},{"info":"⇑⪆14232⇆⨓≜=NaN","layer":3},{"info":"⇑⪆-11112324⫚↹⊑NaN=⇑⪆-3242","layer":2},{"info":"⇑⪆311131⨚⇑⪆-3242=⇑⪆1214204","layer":1},{"info":"⇑⪆0⊲⩕⊾⇑⪆1214204=⇑⪆-24232140","layer":0}]}
{"id":697,"expression_no_base_symbol":"(⨣⨃⇪(↸⊣(⋃$6707$)))⨲","expression":"(⨣⨃⇪(↸⊣(⋃⇑⪆203312)))⨲","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":211414,"operation_count":4,"complexity_ratio":52853.5,"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":6707,"base":5}}}}},"used_operators":["nLYMGWM7L8","AcOhelriW5","wztAlM01eG","3mBM5G4a3l"],"dependent_operators":["DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","g55IO6H4Gj"],"result":"⇑⪆1001104123004","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6707","layer":4},{"info":"compute unary expreesion, input=6707, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=13516","layer":3},{"info":"compute unary expreesion, input=13516, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-13229","layer":2},{"info":"compute unary expreesion, input=-13229, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"compute unary expreesion, input=1405, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=246551629","layer":0}],"base":5,"result_base":5,"text":"(⨣⨃⇪(↸⊣(⋃⇑⪆203312)))⨲=⇑⪆1001104123004","reverse_text":"⇑⪆1001104123004=(⨣⨃⇪(↸⊣(⋃⇑⪆203312)))⨲","cot":[{"info":"⋃⇑⪆203312=⇑⪆413031","layer":3},{"info":"↸⊣⇑⪆413031=⇑⪆-410404","layer":2},{"info":"⨣⨃⇪⇑⪆-410404=⇑⪆21110","layer":1},{"info":"⇑⪆21110⨲=⇑⪆1001104123004","layer":0}]}
{"id":698,"expression_no_base_symbol":"(⋠∜(($3531$∽$5986$)∙⊟$2301$∙⊟$1060$))∀⇚≩(($5039$⇻⋧≁$1264$)⪝($1222$⪪$1277$)⨰$3008$⇡⇂$1200$⨽∌($1389$∼$1336$))","expression":"(⋠∜((⇑⪆103111∽⇑⪆142421)∙⊟⇑⪆33201∙⊟⇑⪆13220))∀⇚≩((⇑⪆130124⇻⋧≁⇑⪆20024)⪝(⇑⪆14342⪪⇑⪆20102)⨰⇑⪆44013⇡⇂⇑⪆14300⨽∌(⇑⪆21024∼⇑⪆20321))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":55362,"operation_count":12,"complexity_ratio":4613.5,"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":3531,"base":5},"right_expr":{"type":"numeric_atoms","value":5986,"base":5}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2301,"base":5},"right_expr":{"type":"numeric_atoms","value":1060,"base":5}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":5039,"base":5},"right_expr":{"type":"numeric_atoms","value":1264,"base":5}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1222,"base":5},"right_expr":{"type":"numeric_atoms","value":1277,"base":5}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3008,"base":5},"right_expr":{"type":"numeric_atoms","value":1200,"base":5}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1389,"base":5},"right_expr":{"type":"numeric_atoms","value":1336,"base":5}}}}},"used_operators":["LRNGc0VcxI","ZJpFhNJr3x","SxTAKzQCrw","y4ImoPnbV5","eewbuw0ToL","wicAB68Tmb","jCPkEVoL5K","xD69zh8xqp","9samAPKr6k","UMwdvZNt44","DyGG3AbaNP"],"dependent_operators":["X99M06cbEe","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","NTOWxs364D","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","FU0Cs4j7VP","JclMnS0uGI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3531","layer":4},{"info":"number node, value=5986","layer":4},{"info":"compute binary expreesion, left_input=3531, right_input=5986, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-35435","layer":3},{"info":"number node, value=2301","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=2301, right_input=1060, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=39759","layer":3},{"info":"compute binary expreesion, left_input=-35435, right_input=39759, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=476399","layer":2},{"info":"compute unary expreesion, input=476399, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=1907880","layer":1},{"info":"number node, value=5039","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=5039, right_input=1264, 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=1222","layer":4},{"info":"number node, value=1277","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=1277, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-180611","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-180611, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-721055","layer":2},{"info":"number node, value=3008","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=3008, right_input=1200, 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=1389","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=1389, right_input=1336, 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 = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-721055, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1907880, 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":5,"result_base":5,"text":"(⋠∜((⇑⪆103111∽⇑⪆142421)∙⊟⇑⪆33201∙⊟⇑⪆13220))∀⇚≩((⇑⪆130124⇻⋧≁⇑⪆20024)⪝(⇑⪆14342⪪⇑⪆20102)⨰⇑⪆44013⇡⇂⇑⪆14300⨽∌(⇑⪆21024∼⇑⪆20321))=NaN","reverse_text":"NaN=(⋠∜((⇑⪆103111∽⇑⪆142421)∙⊟⇑⪆33201∙⊟⇑⪆13220))∀⇚≩((⇑⪆130124⇻⋧≁⇑⪆20024)⪝(⇑⪆14342⪪⇑⪆20102)⨰⇑⪆44013⇡⇂⇑⪆14300⨽∌(⇑⪆21024∼⇑⪆20321))","cot":[{"info":"⇑⪆103111∽⇑⪆142421=⇑⪆-2113220","layer":3},{"info":"⇑⪆33201∙⊟⇑⪆13220=⇑⪆2233014","layer":3},{"info":"⇑⪆-2113220∙⊟⇑⪆2233014=⇑⪆110221044","layer":2},{"info":"⋠∜⇑⪆110221044=⇑⪆442023010","layer":1},{"info":"⇑⪆130124⇻⋧≁⇑⪆20024=⇑⪆-3242","layer":3},{"info":"⇑⪆14342⪪⇑⪆20102=⇑⪆-21234421","layer":3},{"info":"⇑⪆-3242⪝⇑⪆-21234421=⇑⪆-141033210","layer":2},{"info":"⇑⪆44013⇡⇂⇑⪆14300=NaN","layer":3},{"info":"⇑⪆21024∼⇑⪆20321=NaN","layer":3},{"info":"NaN⨽∌NaN=NaN","layer":2},{"info":"⇑⪆-141033210⨰NaN=NaN","layer":1},{"info":"⇑⪆442023010∀⇚≩NaN=NaN","layer":0}]}
{"id":699,"expression_no_base_symbol":"((⇋⊎⋝$2474$)⪛⫼$1127$⨐$5768$)⫒⫫(⇙⪊$1372$)⊬⨰($1439$⪘⫢$2417$)⪕($7666$⪍↜⋙$3364$⩵∡($2921$≋⫹))⨪↰⇹(($2903$∛≔)⨰(↓⇌$1505$))","expression":"((⇋⊎⋝⇑⪆34344)⪛⫼⇑⪆14002⨐⇑⪆141033)⫒⫫(⇙⪊⇑⪆20442)⊬⨰(⇑⪆21224⪘⫢⇑⪆34132)⪕(⇑⪆221131⪍↜⋙⇑⪆101424⩵∡(⇑⪆43141≋⫹))⨪↰⇹((⇑⪆43103∛≔)⨰(↓⇌⇑⪆22010))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":43758,"operation_count":15,"complexity_ratio":2917.2,"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":2474,"base":5}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1127,"base":5},"right_expr":{"type":"numeric_atoms","value":5768,"base":5}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1372,"base":5}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1439,"base":5},"right_expr":{"type":"numeric_atoms","value":2417,"base":5}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":7666,"base":5},"right_expr":{"type":"numeric_atoms","value":3364,"base":5}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2921,"base":5}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":2903,"base":5}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1505,"base":5}}}}},"used_operators":["umQnsF7QlU","6Ko8hGgeMq","hyuBjUqXlG","CzM2PEoXns","Noe24qw2ks","s3Fd5m9Dh2","pB6Fcnrjim","oacrs7FA3X","tmPS8pqC7x","Y7wcNGrDQJ","L05ObWFQCd","N41Kp7NANJ","eewbuw0ToL","mGnSCrte3L","PxpmPgHHJV"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","dWAJyo7jo9","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rJVOvQCfKK","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2474","layer":4},{"info":"compute unary expreesion, input=2474, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1127","layer":4},{"info":"number node, value=5768","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=5768, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2254","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2254, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":2},{"info":"number node, value=1372","layer":4},{"info":"compute unary expreesion, input=1372, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=1439","layer":4},{"info":"number node, value=2417","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=2417, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2754","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2754, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=11016","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11016, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=7666","layer":4},{"info":"number node, value=3364","layer":4},{"info":"compute binary expreesion, left_input=7666, right_input=3364, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=8604","layer":3},{"info":"number node, value=2921","layer":4},{"info":"compute unary expreesion, input=2921, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5842","layer":3},{"info":"compute binary expreesion, left_input=8604, right_input=-5842, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-23171","layer":2},{"info":"number node, value=2903","layer":4},{"info":"compute unary expreesion, input=2903, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-inf","layer":3},{"info":"number node, value=1505","layer":4},{"info":"compute unary expreesion, input=1505, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1505","layer":3},{"info":"compute binary expreesion, left_input=-inf, right_input=1505, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-23171, 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=23171","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=23171, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇋⊎⋝⇑⪆34344)⪛⫼⇑⪆14002⨐⇑⪆141033)⫒⫫(⇙⪊⇑⪆20442)⊬⨰(⇑⪆21224⪘⫢⇑⪆34132)⪕(⇑⪆221131⪍↜⋙⇑⪆101424⩵∡(⇑⪆43141≋⫹))⨪↰⇹((⇑⪆43103∛≔)⨰(↓⇌⇑⪆22010))=NaN","reverse_text":"NaN=((⇋⊎⋝⇑⪆34344)⪛⫼⇑⪆14002⨐⇑⪆141033)⫒⫫(⇙⪊⇑⪆20442)⊬⨰(⇑⪆21224⪘⫢⇑⪆34132)⪕(⇑⪆221131⪍↜⋙⇑⪆101424⩵∡(⇑⪆43141≋⫹))⨪↰⇹((⇑⪆43103∛≔)⨰(↓⇌⇑⪆22010))","cot":[{"info":"⇋⊎⋝⇑⪆34344=NaN","layer":3},{"info":"⇑⪆14002⨐⇑⪆141033=⇑⪆-33004","layer":3},{"info":"NaN⪛⫼⇑⪆-33004=NaN","layer":2},{"info":"⇙⪊⇑⪆20442=⇑⪆0","layer":3},{"info":"⇑⪆21224⪘⫢⇑⪆34132=⇑⪆42004","layer":3},{"info":"⇑⪆0⊬⨰⇑⪆42004=⇑⪆323031","layer":2},{"info":"NaN⫒⫫⇑⪆323031=NaN","layer":1},{"info":"⇑⪆221131⪍↜⋙⇑⪆101424=⇑⪆233404","layer":3},{"info":"⇑⪆43141≋⫹=⇑⪆-141332","layer":3},{"info":"⇑⪆233404⩵∡⇑⪆-141332=⇑⪆-1220141","layer":2},{"info":"⇑⪆43103∛≔=-Inf","layer":3},{"info":"↓⇌⇑⪆22010=⇑⪆22010","layer":3},{"info":"-Inf⨰⇑⪆22010=NaN","layer":2},{"info":"⇑⪆-1220141⨪↰⇹NaN=⇑⪆1220141","layer":1},{"info":"NaN⪕⇑⪆1220141=NaN","layer":0}]}
{"id":700,"expression_no_base_symbol":"⊥(≯(↨$1584$∇⊂⋱$3666$))","expression":"⊥(≯(↨⇑⪆22314∇⊂⋱⇑⪆104131))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":186,"operation_count":4,"complexity_ratio":46.5,"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":1584,"base":5},"right_expr":{"type":"numeric_atoms","value":3666,"base":5}}}}},"used_operators":["Q3PJZHRvZv","keWfFq85dY","jiX4gk2v2Q","nhYeJWJD5X"],"dependent_operators":["fu6greOZ01","g55IO6H4Gj","JLbD19bQDL","rGHVDoGpnC","oZj3VtZNQx","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=1584","layer":4},{"info":"number node, value=3666","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=3666, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2622","layer":3},{"info":"compute unary expreesion, input=2622, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⊥(≯(↨⇑⪆22314∇⊂⋱⇑⪆104131))=NaN","reverse_text":"NaN=⊥(≯(↨⇑⪆22314∇⊂⋱⇑⪆104131))","cot":[{"info":"⇑⪆22314∇⊂⋱⇑⪆104131=⇑⪆40442","layer":3},{"info":"↨⇑⪆40442=NaN","layer":2},{"info":"≯NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":701,"expression_no_base_symbol":"⫎≠⋺($1497$⨎$3537$⪄$7700$∑⇟⊟$4927$)∺≝⩲($1541$⫒⫫$2051$≀⩗∶$4267$⇄$2620$)","expression":"⫎≠⋺(⇑⪆21442⨎⇑⪆103122⪄⇑⪆221300∑⇟⊟⇑⪆124202)∺≝⩲(⇑⪆22131⫒⫫⇑⪆31201≀⩗∶⇑⪆114032⇄⇑⪆40440)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":141,"operation_count":8,"complexity_ratio":17.625,"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":1497,"base":5},"right_expr":{"type":"numeric_atoms","value":3537,"base":5}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7700,"base":5},"right_expr":{"type":"numeric_atoms","value":4927,"base":5}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1541,"base":5},"right_expr":{"type":"numeric_atoms","value":2051,"base":5}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":4267,"base":5},"right_expr":{"type":"numeric_atoms","value":2620,"base":5}}}}},"used_operators":["LYeZOJ0nQG","KPf6cnQVty","SUmda5xLS4","rJVOvQCfKK","U7g4x0WXJJ","8INZBEW696","6Ko8hGgeMq","3EYGwJThht"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"⇑⪆-10314","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1497","layer":4},{"info":"number node, value=3537","layer":4},{"info":"compute binary expreesion, left_input=1497, right_input=3537, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3537","layer":3},{"info":"number node, value=7700","layer":4},{"info":"number node, value=4927","layer":4},{"info":"compute binary expreesion, left_input=7700, right_input=4927, 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=3537, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"number node, value=1541","layer":4},{"info":"number node, value=2051","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=2051, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=4267","layer":4},{"info":"number node, value=2620","layer":4},{"info":"compute binary expreesion, left_input=4267, right_input=2620, 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 = 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 = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":0}],"base":5,"result_base":5,"text":"⫎≠⋺(⇑⪆21442⨎⇑⪆103122⪄⇑⪆221300∑⇟⊟⇑⪆124202)∺≝⩲(⇑⪆22131⫒⫫⇑⪆31201≀⩗∶⇑⪆114032⇄⇑⪆40440)=⇑⪆-10314","reverse_text":"⇑⪆-10314=⫎≠⋺(⇑⪆21442⨎⇑⪆103122⪄⇑⪆221300∑⇟⊟⇑⪆124202)∺≝⩲(⇑⪆22131⫒⫫⇑⪆31201≀⩗∶⇑⪆114032⇄⇑⪆40440)","cot":[{"info":"⇑⪆21442⨎⇑⪆103122=⇑⪆103122","layer":3},{"info":"⇑⪆221300∑⇟⊟⇑⪆124202=NaN","layer":3},{"info":"⇑⪆103122⪄NaN=NaN","layer":2},{"info":"⇑⪆22131⫒⫫⇑⪆31201=NaN","layer":3},{"info":"⇑⪆114032⇄⇑⪆40440=⇑⪆0","layer":3},{"info":"NaN≀⩗∶⇑⪆0=NaN","layer":2},{"info":"NaN∺≝⩲NaN=⇑⪆1120","layer":1},{"info":"⫎≠⋺⇑⪆1120=⇑⪆-10314","layer":0}]}
{"id":702,"expression_no_base_symbol":"⫇((↯⪼$1771$⇻⋧≁$5496$)⫲)","expression":"⫇((↯⪼⇑⪆24041⇻⋧≁⇑⪆133441)⫲)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1845,"operation_count":4,"complexity_ratio":461.25,"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":1771,"base":5},"right_expr":{"type":"numeric_atoms","value":5496,"base":5}}}}},"used_operators":["YjI8oCXuph","9xnGDUPbC6","8jW3W4yZS5","jCPkEVoL5K"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"⇑⪆11432","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1771","layer":4},{"info":"number node, value=5496","layer":4},{"info":"compute binary expreesion, left_input=1771, right_input=5496, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=-79","layer":1},{"info":"compute unary expreesion, input=-79, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=867","layer":0}],"base":5,"result_base":5,"text":"⫇((↯⪼⇑⪆24041⇻⋧≁⇑⪆133441)⫲)=⇑⪆11432","reverse_text":"⇑⪆11432=⫇((↯⪼⇑⪆24041⇻⋧≁⇑⪆133441)⫲)","cot":[{"info":"⇑⪆24041⇻⋧≁⇑⪆133441=⇑⪆-3242","layer":3},{"info":"↯⪼⇑⪆-3242=⇑⪆-41","layer":2},{"info":"⇑⪆-41⫲=⇑⪆-304","layer":1},{"info":"⫇⇑⪆-304=⇑⪆11432","layer":0}]}
{"id":703,"expression_no_base_symbol":"∟⋨(⇘(≉$3260$⩵∡$6284$))","expression":"∟⋨(⇘(≉⇑⪆101020⩵∡⇑⪆200114))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":766,"operation_count":4,"complexity_ratio":191.5,"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":3260,"base":5},"right_expr":{"type":"numeric_atoms","value":6284,"base":5}}}}},"used_operators":["ctOc4cKSDt","MGuIdZPyUC","e1ybzncUwg","Y7wcNGrDQJ"],"dependent_operators":["eLAdDNolq6","tmPS8pqC7x","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3260","layer":4},{"info":"number node, value=6284","layer":4},{"info":"compute binary expreesion, left_input=3260, right_input=6284, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-357","layer":3},{"info":"compute unary expreesion, input=-357, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-357","layer":2},{"info":"compute unary expreesion, input=-357, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-4332547","layer":1},{"info":"compute unary expreesion, input=-4332547, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"∟⋨(⇘(≉⇑⪆101020⩵∡⇑⪆200114))=NaN","reverse_text":"NaN=∟⋨(⇘(≉⇑⪆101020⩵∡⇑⪆200114))","cot":[{"info":"⇑⪆101020⩵∡⇑⪆200114=⇑⪆-2412","layer":3},{"info":"≉⇑⪆-2412=⇑⪆-2412","layer":2},{"info":"⇘⇑⪆-2412=⇑⪆-2102120142","layer":1},{"info":"∟⋨⇑⪆-2102120142=NaN","layer":0}]}
{"id":704,"expression_no_base_symbol":"(↨($1038$⫒⫫$1021$)⨿(↸⊣$8609$))⩘($2866$∣$2985$⫢⨠$2026$↳∿⪆$3461$)⊢(($3549$⊧↖)+⇶⊼$3582$∑⇟⊟$7028$)","expression":"(↨(⇑⪆13123⫒⫫⇑⪆13041)⨿(↸⊣⇑⪆233414))⩘(⇑⪆42431∣⇑⪆43420⫢⨠⇑⪆31101↳∿⪆⇑⪆102321)⊢((⇑⪆103144⊧↖)+⇶⊼⇑⪆103312∑⇟⊟⇑⪆211103)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7357,"operation_count":12,"complexity_ratio":613.0833333333334,"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":1038,"base":5},"right_expr":{"type":"numeric_atoms","value":1021,"base":5}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":8609,"base":5}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2866,"base":5},"right_expr":{"type":"numeric_atoms","value":2985,"base":5}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2026,"base":5},"right_expr":{"type":"numeric_atoms","value":3461,"base":5}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":3549,"base":5}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3582,"base":5},"right_expr":{"type":"numeric_atoms","value":7028,"base":5}}}}},"used_operators":["cHh1gJQ2o6","jiX4gk2v2Q","abYXlopdE0","6Ko8hGgeMq","wztAlM01eG","5twsqlHp2o","xlXykHWxX1","PPChnnnBFF","Cw4SuJJGHO","TpPTUOHfaN","EKiFHuOFxO","U7g4x0WXJJ"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rGHVDoGpnC","oZj3VtZNQx","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","AHs5Up7iyr","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⇑⪆1120","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1038","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=1021, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=8609","layer":4},{"info":"compute unary expreesion, input=8609, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-8322","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8322, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":1},{"info":"number node, value=2866","layer":4},{"info":"number node, value=2985","layer":4},{"info":"compute binary expreesion, left_input=2866, right_input=2985, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2866","layer":3},{"info":"number node, value=2026","layer":4},{"info":"number node, value=3461","layer":4},{"info":"compute binary expreesion, left_input=2026, right_input=3461, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2866, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=3549","layer":4},{"info":"compute unary expreesion, input=3549, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=75590828","layer":3},{"info":"number node, value=3582","layer":4},{"info":"number node, value=7028","layer":4},{"info":"compute binary expreesion, left_input=3582, right_input=7028, 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=75590828, 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=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=0, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":5,"result_base":5,"text":"(↨(⇑⪆13123⫒⫫⇑⪆13041)⨿(↸⊣⇑⪆233414))⩘(⇑⪆42431∣⇑⪆43420⫢⨠⇑⪆31101↳∿⪆⇑⪆102321)⊢((⇑⪆103144⊧↖)+⇶⊼⇑⪆103312∑⇟⊟⇑⪆211103)=⇑⪆1120","reverse_text":"⇑⪆1120=(↨(⇑⪆13123⫒⫫⇑⪆13041)⨿(↸⊣⇑⪆233414))⩘(⇑⪆42431∣⇑⪆43420⫢⨠⇑⪆31101↳∿⪆⇑⪆102321)⊢((⇑⪆103144⊧↖)+⇶⊼⇑⪆103312∑⇟⊟⇑⪆211103)","cot":[{"info":"⇑⪆13123⫒⫫⇑⪆13041=NaN","layer":3},{"info":"↸⊣⇑⪆233414=⇑⪆-231242","layer":3},{"info":"NaN⨿⇑⪆-231242=⇑⪆232","layer":2},{"info":"↨⇑⪆232=⇑⪆0","layer":1},{"info":"⇑⪆42431∣⇑⪆43420=⇑⪆42431","layer":3},{"info":"⇑⪆31101↳∿⪆⇑⪆102321=NaN","layer":3},{"info":"⇑⪆42431⫢⨠NaN=NaN","layer":2},{"info":"⇑⪆103144⊧↖=⇑⪆123322401303","layer":3},{"info":"⇑⪆103312∑⇟⊟⇑⪆211103=NaN","layer":3},{"info":"⇑⪆123322401303+⇶⊼NaN=NaN","layer":2},{"info":"NaN⊢NaN=NaN","layer":1},{"info":"⇑⪆0⩘NaN=⇑⪆1120","layer":0}]}
{"id":705,"expression_no_base_symbol":"(∡$6252$⩧⪆$1979$⪡$5832$⊲⩕⊾$1541$)⨰(($4665$⪁$1771$)↳∿⪆(⫟$7003$))⩁⩘(⪛⨧$1322$⪮%⊝$3004$)","expression":"(∡⇑⪆200002⩧⪆⇑⪆30404⪡⇑⪆141312⊲⩕⊾⇑⪆22131)⨰((⇑⪆122130⪁⇑⪆24041)↳∿⪆(⫟⇑⪆211003))⩁⩘(⪛⨧⇑⪆20242⪮%⊝⇑⪆44004)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":35742924,"operation_count":11,"complexity_ratio":3249356.727272727,"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":6252,"base":5},"right_expr":{"type":"numeric_atoms","value":1979,"base":5}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":5832,"base":5},"right_expr":{"type":"numeric_atoms","value":1541,"base":5}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":4665,"base":5},"right_expr":{"type":"numeric_atoms","value":1771,"base":5}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":7003,"base":5}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1322,"base":5},"right_expr":{"type":"numeric_atoms","value":3004,"base":5}}}}},"used_operators":["eewbuw0ToL","pRsWfj4Fpp","oraRL2iQuh","Ikt5ks8PT7","DmTXOeWf9t","gub5Cegaqo","Cw4SuJJGHO","I7sXao9hZE","z4E1FaHLuy","6NJAcO2OWT","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eewbuw0ToL","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","DpFCA1CohY","IWmyXbctLI","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6252","layer":4},{"info":"number node, value=1979","layer":4},{"info":"compute binary expreesion, left_input=6252, right_input=1979, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1979","layer":3},{"info":"number node, value=5832","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=5832, right_input=1541, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-105352","layer":3},{"info":"compute binary expreesion, left_input=-1979, right_input=-105352, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=4926","layer":2},{"info":"compute unary expreesion, input=4926, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-4926","layer":1},{"info":"number node, value=4665","layer":4},{"info":"number node, value=1771","layer":4},{"info":"compute binary expreesion, left_input=4665, right_input=1771, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=7003","layer":4},{"info":"compute unary expreesion, input=7003, 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=-20102","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-20102, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=1322","layer":4},{"info":"number node, value=3004","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=3004, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2960","layer":3},{"info":"compute unary expreesion, input=2960, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=7321","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7321, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4926, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(∡⇑⪆200002⩧⪆⇑⪆30404⪡⇑⪆141312⊲⩕⊾⇑⪆22131)⨰((⇑⪆122130⪁⇑⪆24041)↳∿⪆(⫟⇑⪆211003))⩁⩘(⪛⨧⇑⪆20242⪮%⊝⇑⪆44004)=NaN","reverse_text":"NaN=(∡⇑⪆200002⩧⪆⇑⪆30404⪡⇑⪆141312⊲⩕⊾⇑⪆22131)⨰((⇑⪆122130⪁⇑⪆24041)↳∿⪆(⫟⇑⪆211003))⩁⩘(⪛⨧⇑⪆20242⪮%⊝⇑⪆44004)","cot":[{"info":"⇑⪆200002⩧⪆⇑⪆30404=⇑⪆-30404","layer":3},{"info":"⇑⪆141312⊲⩕⊾⇑⪆22131=⇑⪆-11332402","layer":3},{"info":"⇑⪆-30404⪡⇑⪆-11332402=⇑⪆124201","layer":2},{"info":"∡⇑⪆124201=⇑⪆-124201","layer":1},{"info":"⇑⪆122130⪁⇑⪆24041=NaN","layer":3},{"info":"⫟⇑⪆211003=⇑⪆-1120402","layer":3},{"info":"NaN↳∿⪆⇑⪆-1120402=NaN","layer":2},{"info":"⇑⪆20242⪮%⊝⇑⪆44004=⇑⪆43320","layer":3},{"info":"⪛⨧⇑⪆43320=⇑⪆213241","layer":2},{"info":"NaN⩁⩘⇑⪆213241=NaN","layer":1},{"info":"⇑⪆-124201⨰NaN=NaN","layer":0}]}
{"id":706,"expression_no_base_symbol":"((($1042$⫑%∭)⪁(⫛⫱⨽$3769$))⫸⊐(⇘$5799$)⫸⇳$2311$≬⇓$5663$)∠↢(⊊≼∋($7668$⊴$3240$))⊔(⩦⩻⨪$1318$⪍↜⋙$2655$)","expression":"(((⇑⪆13132⫑%∭)⪁(⫛⫱⨽⇑⪆110034))⫸⊐(⇘⇑⪆141144)⫸⇳⇑⪆33221≬⇓⇑⪆140123)∠↢(⊊≼∋(⇑⪆221133⊴⇑⪆100430))⊔(⩦⩻⨪⇑⪆20233⪍↜⋙⇑⪆41110)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17477,"operation_count":13,"complexity_ratio":1344.3846153846155,"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":1042,"base":5}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3769,"base":5}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":5799,"base":5}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2311,"base":5},"right_expr":{"type":"numeric_atoms","value":5663,"base":5}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7668,"base":5},"right_expr":{"type":"numeric_atoms","value":3240,"base":5}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1318,"base":5},"right_expr":{"type":"numeric_atoms","value":2655,"base":5}}}}},"used_operators":["KbjG8mgYpV","mqXw5SEYmG","I7sXao9hZE","xUx7qlDO4z","DlLNRPXxWL","gx7XJ7hdpj","MGuIdZPyUC","jWTQ2TZYIH","E4l6HwMY31","FWz7pXsQhA","Nsiff2A1zJ","2td37pGCOC","L05ObWFQCd"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","rGHVDoGpnC","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","B5M0gjZbta","jCPkEVoL5K","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1042","layer":4},{"info":"compute unary expreesion, input=1042, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"number node, value=3769","layer":4},{"info":"compute unary expreesion, input=3769, 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 = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=5799","layer":4},{"info":"compute unary expreesion, input=5799, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=342322","layer":3},{"info":"number node, value=2311","layer":4},{"info":"number node, value=5663","layer":4},{"info":"compute binary expreesion, left_input=2311, right_input=5663, 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=342322, right_input=-22, 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 = 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=7668","layer":4},{"info":"number node, value=3240","layer":4},{"info":"compute binary expreesion, left_input=7668, right_input=3240, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=1318","layer":4},{"info":"number node, value=2655","layer":4},{"info":"compute binary expreesion, left_input=1318, right_input=2655, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-12683","layer":3},{"info":"compute unary expreesion, input=-12683, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-12683","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-12683, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":5,"result_base":5,"text":"(((⇑⪆13132⫑%∭)⪁(⫛⫱⨽⇑⪆110034))⫸⊐(⇘⇑⪆141144)⫸⇳⇑⪆33221≬⇓⇑⪆140123)∠↢(⊊≼∋(⇑⪆221133⊴⇑⪆100430))⊔(⩦⩻⨪⇑⪆20233⪍↜⋙⇑⪆41110)=NaN","reverse_text":"NaN=(((⇑⪆13132⫑%∭)⪁(⫛⫱⨽⇑⪆110034))⫸⊐(⇘⇑⪆141144)⫸⇳⇑⪆33221≬⇓⇑⪆140123)∠↢(⊊≼∋(⇑⪆221133⊴⇑⪆100430))⊔(⩦⩻⨪⇑⪆20233⪍↜⋙⇑⪆41110)","cot":[{"info":"⇑⪆13132⫑%∭=NaN","layer":3},{"info":"⫛⫱⨽⇑⪆110034=⇑⪆0","layer":3},{"info":"NaN⪁⇑⪆0=NaN","layer":2},{"info":"⇘⇑⪆141144=⇑⪆41423242","layer":3},{"info":"⇑⪆33221≬⇓⇑⪆140123=⇑⪆-42","layer":3},{"info":"⇑⪆41423242⫸⇳⇑⪆-42=⇑⪆0","layer":2},{"info":"NaN⫸⊐⇑⪆0=NaN","layer":1},{"info":"⇑⪆221133⊴⇑⪆100430=NaN","layer":3},{"info":"⊊≼∋NaN=NaN","layer":2},{"info":"⇑⪆20233⪍↜⋙⇑⪆41110=⇑⪆-401213","layer":3},{"info":"⩦⩻⨪⇑⪆-401213=⇑⪆-401213","layer":2},{"info":"NaN⊔⇑⪆-401213=NaN","layer":1},{"info":"NaN∠↢NaN=NaN","layer":0}]}
{"id":707,"expression_no_base_symbol":"⨆≐≲((($1977$⩣⫁∢$2812$)⊟⇱)⋥≓≎$2491$≒∊$1424$⊨$2312$⋝⋈⪟$3854$)","expression":"⨆≐≲(((⇑⪆30402⩣⫁∢⇑⪆42222)⊟⇱)⋥≓≎⇑⪆34431≒∊⇑⪆21144⊨⇑⪆33222⋝⋈⪟⇑⪆110404)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":158,"operation_count":7,"complexity_ratio":22.571428571428573,"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":1977,"base":5},"right_expr":{"type":"numeric_atoms","value":2812,"base":5}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2491,"base":5},"right_expr":{"type":"numeric_atoms","value":1424,"base":5}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2312,"base":5},"right_expr":{"type":"numeric_atoms","value":3854,"base":5}}}}},"used_operators":["Bi9z9uYZqW","Qy55tPpLXF","03sUfWo75k","JDUIKTTSIa","vg4gO5BX6G","5KTvxBwnZo","2DDjHMKMc0"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","IWmyXbctLI","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆100243033","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1977","layer":4},{"info":"number node, value=2812","layer":4},{"info":"compute binary expreesion, left_input=1977, right_input=2812, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-3793","layer":3},{"info":"compute unary expreesion, input=-3793, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=-7270","layer":2},{"info":"number node, value=2491","layer":4},{"info":"number node, value=1424","layer":4},{"info":"compute binary expreesion, left_input=2491, right_input=1424, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2007","layer":3},{"info":"number node, value=2312","layer":4},{"info":"number node, value=3854","layer":4},{"info":"compute binary expreesion, left_input=2312, right_input=3854, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2312","layer":3},{"info":"compute binary expreesion, left_input=-2007, right_input=2312, 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=-7270, right_input=-174, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=399768","layer":0}],"base":5,"result_base":5,"text":"⨆≐≲(((⇑⪆30402⩣⫁∢⇑⪆42222)⊟⇱)⋥≓≎⇑⪆34431≒∊⇑⪆21144⊨⇑⪆33222⋝⋈⪟⇑⪆110404)=⇑⪆100243033","reverse_text":"⇑⪆100243033=⨆≐≲(((⇑⪆30402⩣⫁∢⇑⪆42222)⊟⇱)⋥≓≎⇑⪆34431≒∊⇑⪆21144⊨⇑⪆33222⋝⋈⪟⇑⪆110404)","cot":[{"info":"⇑⪆30402⩣⫁∢⇑⪆42222=⇑⪆-110133","layer":3},{"info":"⇑⪆-110133⊟⇱=⇑⪆-213040","layer":2},{"info":"⇑⪆34431≒∊⇑⪆21144=⇑⪆-31012","layer":3},{"info":"⇑⪆33222⋝⋈⪟⇑⪆110404=⇑⪆33222","layer":3},{"info":"⇑⪆-31012⊨⇑⪆33222=⇑⪆-1144","layer":2},{"info":"⇑⪆-213040⋥≓≎⇑⪆-1144=⇑⪆232","layer":1},{"info":"⨆≐≲⇑⪆232=⇑⪆100243033","layer":0}]}
{"id":708,"expression_no_base_symbol":"(⊽(($4615$⨐⩸⫘$5414$)⪛⫼$1630$⩼⇪↪$1104$))⫦⪉((⨰⫟⨤$3416$⪬$1322$)∙∹∝(⋼∭⪍($1997$⨫⇇↔$1142$)))","expression":"(⊽((⇑⪆121430⨐⩸⫘⇑⪆133124)⪛⫼⇑⪆23010⩼⇪↪⇑⪆13404))⫦⪉((⨰⫟⨤⇑⪆102131⪬⇑⪆20242)∙∹∝(⋼∭⪍(⇑⪆30442⨫⇇↔⇑⪆14032)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4811,"operation_count":10,"complexity_ratio":481.1,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4615,"base":5},"right_expr":{"type":"numeric_atoms","value":5414,"base":5}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1630,"base":5},"right_expr":{"type":"numeric_atoms","value":1104,"base":5}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3416,"base":5},"right_expr":{"type":"numeric_atoms","value":1322,"base":5}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1997,"base":5},"right_expr":{"type":"numeric_atoms","value":1142,"base":5}}}}},"used_operators":["wscyQdcy20","QxG7OkqoLX","hyuBjUqXlG","fu6greOZ01","ocnLzx9CaJ","HmxsFra2vL","Tw270M8GLb","Ez1Nq5fNfI","DbCuESL50I","LXhwmt4mBO"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","3ViojmjbAp","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4615","layer":4},{"info":"number node, value=5414","layer":4},{"info":"compute binary expreesion, left_input=4615, right_input=5414, 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=1630","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=1630, right_input=1104, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-5251","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5251, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":1},{"info":"number node, value=3416","layer":4},{"info":"number node, value=1322","layer":4},{"info":"compute binary expreesion, left_input=3416, right_input=1322, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1997","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=1997, right_input=1142, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-3060","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3060, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":1},{"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":0}],"base":5,"result_base":5,"text":"(⊽((⇑⪆121430⨐⩸⫘⇑⪆133124)⪛⫼⇑⪆23010⩼⇪↪⇑⪆13404))⫦⪉((⨰⫟⨤⇑⪆102131⪬⇑⪆20242)∙∹∝(⋼∭⪍(⇑⪆30442⨫⇇↔⇑⪆14032)))=NaN","reverse_text":"NaN=(⊽((⇑⪆121430⨐⩸⫘⇑⪆133124)⪛⫼⇑⪆23010⩼⇪↪⇑⪆13404))⫦⪉((⨰⫟⨤⇑⪆102131⪬⇑⪆20242)∙∹∝(⋼∭⪍(⇑⪆30442⨫⇇↔⇑⪆14032)))","cot":[{"info":"⇑⪆121430⨐⩸⫘⇑⪆133124=NaN","layer":3},{"info":"⇑⪆23010⩼⇪↪⇑⪆13404=⇑⪆-132001","layer":3},{"info":"NaN⪛⫼⇑⪆-132001=NaN","layer":2},{"info":"⊽NaN=NaN","layer":1},{"info":"⇑⪆102131⪬⇑⪆20242=⇑⪆14414","layer":3},{"info":"⨰⫟⨤⇑⪆14414=NaN","layer":2},{"info":"⇑⪆30442⨫⇇↔⇑⪆14032=⇑⪆-4102","layer":3},{"info":"⋼∭⪍⇑⪆-4102=⇑⪆-44220","layer":2},{"info":"NaN∙∹∝⇑⪆-44220=NaN","layer":1},{"info":"NaN⫦⪉NaN=NaN","layer":0}]}
{"id":709,"expression_no_base_symbol":"(($4269$⪘⫢$1372$+($4490$≦≮≮))↸($4932$≹⇙⪍$1551$)⫁($1027$⨼⩣$1819$))⩦(∜⨇(⫶⊄≣($2691$⨎$2863$)))","expression":"((⇑⪆114034⪘⫢⇑⪆20442+(⇑⪆120430≦≮≮))↸(⇑⪆124212≹⇙⪍⇑⪆22201)⫁(⇑⪆13102⨼⩣⇑⪆24234))⩦(∜⨇(⫶⊄≣(⇑⪆41231⨎⇑⪆42423)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3588,"operation_count":11,"complexity_ratio":326.1818181818182,"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":4269,"base":5},"right_expr":{"type":"numeric_atoms","value":1372,"base":5}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4490,"base":5}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4932,"base":5},"right_expr":{"type":"numeric_atoms","value":1551,"base":5}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1027,"base":5},"right_expr":{"type":"numeric_atoms","value":1819,"base":5}}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2691,"base":5},"right_expr":{"type":"numeric_atoms","value":2863,"base":5}}}}},"used_operators":["0kmYd0q39Y","1eCjFl0mb9","W4YGzv6Whe","oacrs7FA3X","D4vGDi5EA2","0ajvFaJAv0","AHs5Up7iyr","JxwMv5le6e","uFPyJr306J","wxb3vTeyAj","rJVOvQCfKK"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","dWAJyo7jo9","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4269","layer":4},{"info":"number node, value=1372","layer":4},{"info":"compute binary expreesion, left_input=4269, right_input=1372, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8414","layer":3},{"info":"number node, value=4490","layer":4},{"info":"compute unary expreesion, input=4490, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-13470","layer":3},{"info":"compute binary expreesion, left_input=8414, right_input=-13470, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-5056","layer":2},{"info":"number node, value=4932","layer":4},{"info":"number node, value=1551","layer":4},{"info":"compute binary expreesion, left_input=4932, right_input=1551, 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=1027","layer":4},{"info":"number node, value=1819","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=1819, 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":"compute binary expreesion, left_input=-5056, right_input=160, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-5056","layer":1},{"info":"number node, value=2691","layer":4},{"info":"number node, value=2863","layer":4},{"info":"compute binary expreesion, left_input=2691, right_input=2863, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2863","layer":3},{"info":"compute unary expreesion, input=2863, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=147590065","layer":2},{"info":"compute unary expreesion, input=147590065, 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=-5056, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆114034⪘⫢⇑⪆20442+(⇑⪆120430≦≮≮))↸(⇑⪆124212≹⇙⪍⇑⪆22201)⫁(⇑⪆13102⨼⩣⇑⪆24234))⩦(∜⨇(⫶⊄≣(⇑⪆41231⨎⇑⪆42423)))=NaN","reverse_text":"NaN=((⇑⪆114034⪘⫢⇑⪆20442+(⇑⪆120430≦≮≮))↸(⇑⪆124212≹⇙⪍⇑⪆22201)⫁(⇑⪆13102⨼⩣⇑⪆24234))⩦(∜⨇(⫶⊄≣(⇑⪆41231⨎⇑⪆42423)))","cot":[{"info":"⇑⪆114034⪘⫢⇑⪆20442=⇑⪆232124","layer":3},{"info":"⇑⪆120430≦≮≮=⇑⪆-412340","layer":3},{"info":"⇑⪆232124+⇑⪆-412340=⇑⪆-130211","layer":2},{"info":"⇑⪆124212≹⇙⪍⇑⪆22201=NaN","layer":3},{"info":"⇑⪆13102⨼⩣⇑⪆24234=NaN","layer":3},{"info":"NaN⫁NaN=⇑⪆1120","layer":2},{"info":"⇑⪆-130211↸⇑⪆1120=⇑⪆-130211","layer":1},{"info":"⇑⪆41231⨎⇑⪆42423=⇑⪆42423","layer":3},{"info":"⫶⊄≣⇑⪆42423=⇑⪆300240340230","layer":2},{"info":"∜⨇⇑⪆300240340230=NaN","layer":1},{"info":"⇑⪆-130211⩦NaN=NaN","layer":0}]}
{"id":710,"expression_no_base_symbol":"((($2448$⨎$1148$)⫢⨠($1284$⫸⊐$2375$))⪗)⇻⋧≁(⇐($3603$⨫⇇↔$1480$⪄$1703$≌$1109$))","expression":"(((⇑⪆34243⨎⇑⪆14043)⫢⨠(⇑⪆20114⫸⊐⇑⪆34000))⪗)⇻⋧≁(⇐(⇑⪆103403⨫⇇↔⇑⪆21410⪄⇑⪆23303≌⇑⪆13414))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1816,"operation_count":9,"complexity_ratio":201.77777777777777,"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":2448,"base":5},"right_expr":{"type":"numeric_atoms","value":1148,"base":5}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1284,"base":5},"right_expr":{"type":"numeric_atoms","value":2375,"base":5}}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3603,"base":5},"right_expr":{"type":"numeric_atoms","value":1480,"base":5}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1703,"base":5},"right_expr":{"type":"numeric_atoms","value":1109,"base":5}}}}},"used_operators":["jCPkEVoL5K","VEQNXA0ZBg","xlXykHWxX1","rJVOvQCfKK","mqXw5SEYmG","nmZMaaE0Q9","SUmda5xLS4","LXhwmt4mBO","lyWz822IDG"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","dWAJyo7jo9","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2448","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=2448, right_input=1148, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1148","layer":3},{"info":"number node, value=1284","layer":4},{"info":"number node, value=2375","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=2375, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9375","layer":3},{"info":"compute binary expreesion, left_input=1148, right_input=9375, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=3603","layer":4},{"info":"number node, value=1480","layer":4},{"info":"compute binary expreesion, left_input=3603, right_input=1480, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1703","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=1703, right_input=1109, 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=-527, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=11100","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=11100, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆34243⨎⇑⪆14043)⫢⨠(⇑⪆20114⫸⊐⇑⪆34000))⪗)⇻⋧≁(⇐(⇑⪆103403⨫⇇↔⇑⪆21410⪄⇑⪆23303≌⇑⪆13414))=NaN","reverse_text":"NaN=(((⇑⪆34243⨎⇑⪆14043)⫢⨠(⇑⪆20114⫸⊐⇑⪆34000))⪗)⇻⋧≁(⇐(⇑⪆103403⨫⇇↔⇑⪆21410⪄⇑⪆23303≌⇑⪆13414))","cot":[{"info":"⇑⪆34243⨎⇑⪆14043=⇑⪆14043","layer":3},{"info":"⇑⪆20114⫸⊐⇑⪆34000=⇑⪆300000","layer":3},{"info":"⇑⪆14043⫢⨠⇑⪆300000=⇑⪆1120","layer":2},{"info":"⇑⪆1120⪗=NaN","layer":1},{"info":"⇑⪆103403⨫⇇↔⇑⪆21410=⇑⪆-4102","layer":3},{"info":"⇑⪆23303≌⇑⪆13414=NaN","layer":3},{"info":"⇑⪆-4102⪄NaN=⇑⪆111404","layer":2},{"info":"⇐⇑⪆111404=⇑⪆323400","layer":1},{"info":"NaN⇻⋧≁⇑⪆323400=NaN","layer":0}]}
{"id":711,"expression_no_base_symbol":"⊈(($2154$≹⇙⪍$1620$)∺≝⩲(⨑⩽⪐$1129$))≁((⨮↦↱$6166$)⨼⩣(⫖→$4058$))","expression":"⊈((⇑⪆32104≹⇙⪍⇑⪆22440)∺≝⩲(⨑⩽⪐⇑⪆14004))≁((⨮↦↱⇑⪆144131)⨼⩣(⫖→⇑⪆112213))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":343503,"operation_count":8,"complexity_ratio":42937.875,"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":2154,"base":5},"right_expr":{"type":"numeric_atoms","value":1620,"base":5}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1129,"base":5}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":6166,"base":5}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":4058,"base":5}}}}},"used_operators":["RHru8klgy8","8N2wDY1A35","KPf6cnQVty","AHs5Up7iyr","AF7qkfDlqP","JxwMv5le6e","sYcpBQ0cFf","U4ylXWHChL"],"dependent_operators":["12rbrZMWeM","xUOZtlo3hN","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2154","layer":4},{"info":"number node, value=1620","layer":4},{"info":"compute binary expreesion, left_input=2154, right_input=1620, 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=1129","layer":4},{"info":"compute unary expreesion, input=1129, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-856","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-856, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=6166","layer":4},{"info":"compute unary expreesion, input=6166, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-96596874","layer":3},{"info":"number node, value=4058","layer":4},{"info":"compute unary expreesion, input=4058, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-96596874, right_input=177, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⊈((⇑⪆32104≹⇙⪍⇑⪆22440)∺≝⩲(⨑⩽⪐⇑⪆14004))≁((⨮↦↱⇑⪆144131)⨼⩣(⫖→⇑⪆112213))=NaN","reverse_text":"NaN=⊈((⇑⪆32104≹⇙⪍⇑⪆22440)∺≝⩲(⨑⩽⪐⇑⪆14004))≁((⨮↦↱⇑⪆144131)⨼⩣(⫖→⇑⪆112213))","cot":[{"info":"⇑⪆32104≹⇙⪍⇑⪆22440=NaN","layer":3},{"info":"⨑⩽⪐⇑⪆14004=⇑⪆-11411","layer":3},{"info":"NaN∺≝⩲⇑⪆-11411=⇑⪆1120","layer":2},{"info":"⨮↦↱⇑⪆144131=⇑⪆-144212044444","layer":3},{"info":"⫖→⇑⪆112213=⇑⪆1202","layer":3},{"info":"⇑⪆-144212044444⨼⩣⇑⪆1202=NaN","layer":2},{"info":"⇑⪆1120≁NaN=NaN","layer":1},{"info":"⊈NaN=NaN","layer":0}]}
{"id":712,"expression_no_base_symbol":"(∓($2802$≭$1942$)⇻⋧≁($4991$⋹⋡⊁$1195$))⫉⨲⊜(⊬↢($2274$⩘$1879$))⫘($1347$⪒⊣⊆$3331$+⇶⊼$2410$⨜⨶$3344$)","expression":"(∓(⇑⪆42202≭⇑⪆30232)⇻⋧≁(⇑⪆124431⋹⋡⊁⇑⪆14240))⫉⨲⊜(⊬↢(⇑⪆33044⩘⇑⪆30004))⫘(⇑⪆20342⪒⊣⊆⇑⪆101311+⇶⊼⇑⪆34120⨜⨶⇑⪆101334)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":63962,"operation_count":11,"complexity_ratio":5814.727272727273,"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":2802,"base":5},"right_expr":{"type":"numeric_atoms","value":1942,"base":5}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4991,"base":5},"right_expr":{"type":"numeric_atoms","value":1195,"base":5}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2274,"base":5},"right_expr":{"type":"numeric_atoms","value":1879,"base":5}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1347,"base":5},"right_expr":{"type":"numeric_atoms","value":3331,"base":5}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2410,"base":5},"right_expr":{"type":"numeric_atoms","value":3344,"base":5}}}}},"used_operators":["WhqkvtTD3t","OwUj7dcsQK","jCPkEVoL5K","rxpJgHHUmx","As8RqfVLgs","48vC8HMD2b","WPoGxAaPR1","cHh1gJQ2o6","TpPTUOHfaN","eRqsBgTDFp","HiPekx5b7W"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","AHs5Up7iyr","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","AHs5Up7iyr","sdazOOVcIp","W4YGzv6Whe","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2802","layer":4},{"info":"number node, value=1942","layer":4},{"info":"compute binary expreesion, left_input=2802, right_input=1942, 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=4991","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=4991, right_input=1195, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1945","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1945, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=nan","layer":1},{"info":"number node, value=2274","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=2274, right_input=1879, 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 = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-664","layer":2},{"info":"number node, value=1347","layer":4},{"info":"number node, value=3331","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=3331, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2694","layer":3},{"info":"number node, value=2410","layer":4},{"info":"number node, value=3344","layer":4},{"info":"compute binary expreesion, left_input=2410, right_input=3344, 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=-6432","layer":3},{"info":"compute binary expreesion, left_input=2694, right_input=-6432, 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=-664, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2917979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2917979, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(∓(⇑⪆42202≭⇑⪆30232)⇻⋧≁(⇑⪆124431⋹⋡⊁⇑⪆14240))⫉⨲⊜(⊬↢(⇑⪆33044⩘⇑⪆30004))⫘(⇑⪆20342⪒⊣⊆⇑⪆101311+⇶⊼⇑⪆34120⨜⨶⇑⪆101334)=NaN","reverse_text":"NaN=(∓(⇑⪆42202≭⇑⪆30232)⇻⋧≁(⇑⪆124431⋹⋡⊁⇑⪆14240))⫉⨲⊜(⊬↢(⇑⪆33044⩘⇑⪆30004))⫘(⇑⪆20342⪒⊣⊆⇑⪆101311+⇶⊼⇑⪆34120⨜⨶⇑⪆101334)","cot":[{"info":"⇑⪆42202≭⇑⪆30232=NaN","layer":3},{"info":"⇑⪆124431⋹⋡⊁⇑⪆14240=⇑⪆30240","layer":3},{"info":"NaN⇻⋧≁⇑⪆30240=NaN","layer":2},{"info":"∓NaN=NaN","layer":1},{"info":"⇑⪆33044⩘⇑⪆30004=⇑⪆1120","layer":3},{"info":"⊬↢⇑⪆1120=⇑⪆-10124","layer":2},{"info":"⇑⪆20342⪒⊣⊆⇑⪆101311=⇑⪆41234","layer":3},{"info":"⇑⪆34120⨜⨶⇑⪆101334=⇑⪆-201212","layer":3},{"info":"⇑⪆41234+⇶⊼⇑⪆-201212=NaN","layer":2},{"info":"⇑⪆-10124⫘NaN=⇑⪆1221333404","layer":1},{"info":"NaN⫉⨲⊜⇑⪆1221333404=NaN","layer":0}]}
{"id":713,"expression_no_base_symbol":"(⩦⊞(↥≼⋛($3245$⋻⩜⩜$2086$)))⪛⫼($1169$⨥⫆$2195$)⋹⋡⊁($2013$⪶≀⋏$7814$)⫣⪄⊒(($1684$⊴⇁⪶)∖($5419$⪁$2359$))","expression":"(⩦⊞(↥≼⋛(⇑⪆100440⋻⩜⩜⇑⪆31321)))⪛⫼(⇑⪆14134⨥⫆⇑⪆32240)⋹⋡⊁(⇑⪆31023⪶≀⋏⇑⪆222224)⫣⪄⊒((⇑⪆23214⊴⇁⪶)∖(⇑⪆133134⪁⇑⪆33414))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":57256857,"operation_count":11,"complexity_ratio":5205168.818181818,"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":3245,"base":5},"right_expr":{"type":"numeric_atoms","value":2086,"base":5}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1169,"base":5},"right_expr":{"type":"numeric_atoms","value":2195,"base":5}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2013,"base":5},"right_expr":{"type":"numeric_atoms","value":7814,"base":5}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":1684,"base":5}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":5419,"base":5},"right_expr":{"type":"numeric_atoms","value":2359,"base":5}}}}},"used_operators":["hyuBjUqXlG","u7fv1HBiaC","x5lMkHmzsq","oDCm7WA9JY","RabNbG55vr","As8RqfVLgs","yXekIHxTD4","zR4jO40bMj","tXD093vOjl","oo9mF6JIpo","I7sXao9hZE"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"⇑⪆12333","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3245","layer":4},{"info":"number node, value=2086","layer":4},{"info":"compute binary expreesion, left_input=3245, right_input=2086, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=6490","layer":3},{"info":"compute unary expreesion, input=6490, 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 = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-282","layer":1},{"info":"number node, value=1169","layer":4},{"info":"number node, value=2195","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=2195, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4266","layer":3},{"info":"number node, value=2013","layer":4},{"info":"number node, value=7814","layer":4},{"info":"compute binary expreesion, left_input=2013, right_input=7814, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-21899","layer":3},{"info":"compute binary expreesion, left_input=4266, right_input=-21899, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=33866","layer":2},{"info":"number node, value=1684","layer":4},{"info":"compute unary expreesion, input=1684, 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=29370","layer":3},{"info":"number node, value=5419","layer":4},{"info":"number node, value=2359","layer":4},{"info":"compute binary expreesion, left_input=5419, right_input=2359, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=29370, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=33866, 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=-282, right_input=160, 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":5,"result_base":5,"text":"(⩦⊞(↥≼⋛(⇑⪆100440⋻⩜⩜⇑⪆31321)))⪛⫼(⇑⪆14134⨥⫆⇑⪆32240)⋹⋡⊁(⇑⪆31023⪶≀⋏⇑⪆222224)⫣⪄⊒((⇑⪆23214⊴⇁⪶)∖(⇑⪆133134⪁⇑⪆33414))=⇑⪆12333","reverse_text":"⇑⪆12333=(⩦⊞(↥≼⋛(⇑⪆100440⋻⩜⩜⇑⪆31321)))⪛⫼(⇑⪆14134⨥⫆⇑⪆32240)⋹⋡⊁(⇑⪆31023⪶≀⋏⇑⪆222224)⫣⪄⊒((⇑⪆23214⊴⇁⪶)∖(⇑⪆133134⪁⇑⪆33414))","cot":[{"info":"⇑⪆100440⋻⩜⩜⇑⪆31321=⇑⪆201430","layer":3},{"info":"↥≼⋛⇑⪆201430=⇑⪆-423","layer":2},{"info":"⩦⊞⇑⪆-423=⇑⪆-2112","layer":1},{"info":"⇑⪆14134⨥⫆⇑⪆32240=⇑⪆114031","layer":3},{"info":"⇑⪆31023⪶≀⋏⇑⪆222224=⇑⪆-1200044","layer":3},{"info":"⇑⪆114031⋹⋡⊁⇑⪆-1200044=⇑⪆2040431","layer":2},{"info":"⇑⪆23214⊴⇁⪶=⇑⪆1414440","layer":3},{"info":"⇑⪆133134⪁⇑⪆33414=NaN","layer":3},{"info":"⇑⪆1414440∖NaN=⇑⪆0","layer":2},{"info":"⇑⪆2040431⫣⪄⊒⇑⪆0=⇑⪆1120","layer":1},{"info":"⇑⪆-2112⪛⫼⇑⪆1120=⇑⪆12333","layer":0}]}
{"id":714,"expression_no_base_symbol":"⫯((≤/(⫛⫱⨽$2636$))⨳⩥⨓(↯⪼($1924$⫳≱↱$1967$)))","expression":"⫯((≤/(⫛⫱⨽⇑⪆41021))⨳⩥⨓(↯⪼(⇑⪆30144⫳≱↱⇑⪆30332)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1813,"operation_count":6,"complexity_ratio":302.1666666666667,"tree":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2636,"base":5}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1924,"base":5},"right_expr":{"type":"numeric_atoms","value":1967,"base":5}}}}},"used_operators":["H6BK1Evt7c","nCS4ZIUYfx","eLAdDNolq6","DlLNRPXxWL","8jW3W4yZS5","ZvLB05nZmT"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rGHVDoGpnC","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"⇑⪆1331312","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2636","layer":4},{"info":"compute unary expreesion, input=2636, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":2},{"info":"number node, value=1924","layer":4},{"info":"number node, value=1967","layer":4},{"info":"compute binary expreesion, left_input=1924, right_input=1967, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=484, right_input=-21, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-505","layer":1},{"info":"compute unary expreesion, input=-505, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=27082","layer":0}],"base":5,"result_base":5,"text":"⫯((≤/(⫛⫱⨽⇑⪆41021))⨳⩥⨓(↯⪼(⇑⪆30144⫳≱↱⇑⪆30332)))=⇑⪆1331312","reverse_text":"⇑⪆1331312=⫯((≤/(⫛⫱⨽⇑⪆41021))⨳⩥⨓(↯⪼(⇑⪆30144⫳≱↱⇑⪆30332)))","cot":[{"info":"⫛⫱⨽⇑⪆41021=⇑⪆0","layer":3},{"info":"≤/⇑⪆0=⇑⪆3414","layer":2},{"info":"⇑⪆30144⫳≱↱⇑⪆30332=⇑⪆-1304","layer":3},{"info":"↯⪼⇑⪆-1304=⇑⪆-41","layer":2},{"info":"⇑⪆3414⨳⩥⨓⇑⪆-41=⇑⪆-4010","layer":1},{"info":"⫯⇑⪆-4010=⇑⪆1331312","layer":0}]}
{"id":715,"expression_no_base_symbol":"⨭⩧⫛((⪡⇡≛(↞≼$1946$))⫳≱↱($8455$⪢$2078$⫳≱↱(⇺⋃$6230$)))","expression":"⨭⩧⫛((⪡⇡≛(↞≼⇑⪆30241))⫳≱↱(⇑⪆232310⪢⇑⪆31303⫳≱↱(⇺⋃⇑⪆144410)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5208,"operation_count":7,"complexity_ratio":744.0,"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":1946,"base":5}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":8455,"base":5},"right_expr":{"type":"numeric_atoms","value":2078,"base":5}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":6230,"base":5}}}}},"used_operators":["g21JL6JxX7","ZvLB05nZmT","qL4PrbW1Dq","DE7zCoGJt9","dWAJyo7jo9","E5v5B3UAjG"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","k8jYdgA6NY","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1946","layer":4},{"info":"compute unary expreesion, input=1946, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=15154","layer":3},{"info":"compute unary expreesion, input=15154, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-15154","layer":2},{"info":"number node, value=8455","layer":4},{"info":"number node, value=2078","layer":4},{"info":"compute binary expreesion, left_input=8455, right_input=2078, 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=6230","layer":4},{"info":"compute unary expreesion, input=6230, 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 = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-15154, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":1},{"info":"compute unary expreesion, input=-2802, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⨭⩧⫛((⪡⇡≛(↞≼⇑⪆30241))⫳≱↱(⇑⪆232310⪢⇑⪆31303⫳≱↱(⇺⋃⇑⪆144410)))=NaN","reverse_text":"NaN=⨭⩧⫛((⪡⇡≛(↞≼⇑⪆30241))⫳≱↱(⇑⪆232310⪢⇑⪆31303⫳≱↱(⇺⋃⇑⪆144410)))","cot":[{"info":"↞≼⇑⪆30241=⇑⪆441104","layer":3},{"info":"⪡⇡≛⇑⪆441104=⇑⪆-441104","layer":2},{"info":"⇑⪆232310⪢⇑⪆31303=NaN","layer":3},{"info":"⇺⋃⇑⪆144410=NaN","layer":3},{"info":"NaN⫳≱↱NaN=NaN","layer":2},{"info":"⇑⪆-441104⫳≱↱NaN=⇑⪆-42202","layer":1},{"info":"⨭⩧⫛⇑⪆-42202=NaN","layer":0}]}
{"id":716,"expression_no_base_symbol":"(⨴⫝(⨙⪌($6496$↳∿⪆$3122$)))⊭↱(($3674$⩢≌)⫡⨏(⫵↿$1856$))⪬((∐⩳⋚$1548$)⊓⋫)","expression":"(⨴⫝(⨙⪌(⇑⪆201441↳∿⪆⇑⪆44442)))⊭↱((⇑⪆104144⩢≌)⫡⨏(⫵↿⇑⪆24411))⪬((∐⩳⋚⇑⪆22143)⊓⋫)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3573,"operation_count":10,"complexity_ratio":357.3,"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":6496,"base":5},"right_expr":{"type":"numeric_atoms","value":3122,"base":5}}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":3674,"base":5}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":1856,"base":5}}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1548,"base":5}}}}},"used_operators":["COABgblf1C","SVb2v531z1","vEGLkm4Z2k","Cw4SuJJGHO","Ez1Nq5fNfI","QMFrweE19q","D617RFjZIq","ivGwdmUAux","IqGBaFP0uj","SL6IHkK8vl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","t8gj7n24qd","hTbEZDJLEm","o20kRiQErp","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6496","layer":4},{"info":"number node, value=3122","layer":4},{"info":"compute binary expreesion, left_input=6496, right_input=3122, 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 = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=nan","layer":2},{"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":1},{"info":"number node, value=3674","layer":4},{"info":"compute unary expreesion, input=3674, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=1856","layer":4},{"info":"compute unary expreesion, input=1856, 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=113, right_input=137, 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=1622","layer":2},{"info":"number node, value=1548","layer":4},{"info":"compute unary expreesion, input=1548, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=215365","layer":3},{"info":"compute unary expreesion, input=215365, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-215493","layer":2},{"info":"compute binary expreesion, left_input=1622, right_input=-215493, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⨴⫝(⨙⪌(⇑⪆201441↳∿⪆⇑⪆44442)))⊭↱((⇑⪆104144⩢≌)⫡⨏(⫵↿⇑⪆24411))⪬((∐⩳⋚⇑⪆22143)⊓⋫)=NaN","reverse_text":"NaN=(⨴⫝(⨙⪌(⇑⪆201441↳∿⪆⇑⪆44442)))⊭↱((⇑⪆104144⩢≌)⫡⨏(⫵↿⇑⪆24411))⪬((∐⩳⋚⇑⪆22143)⊓⋫)","cot":[{"info":"⇑⪆201441↳∿⪆⇑⪆44442=NaN","layer":3},{"info":"⨙⪌NaN=NaN","layer":2},{"info":"⨴⫝NaN=NaN","layer":1},{"info":"⇑⪆104144⩢≌=⇑⪆423","layer":3},{"info":"⫵↿⇑⪆24411=⇑⪆1022","layer":3},{"info":"⇑⪆423⫡⨏⇑⪆1022=⇑⪆22442","layer":2},{"info":"∐⩳⋚⇑⪆22143=⇑⪆23342430","layer":3},{"info":"⇑⪆23342430⊓⋫=⇑⪆-23343433","layer":2},{"info":"⇑⪆22442⪬⇑⪆-23343433=⇑⪆14414","layer":1},{"info":"NaN⊭↱⇑⪆14414=NaN","layer":0}]}
{"id":717,"expression_no_base_symbol":"($2839$⋛$3325$↬($4680$⋷$5624$)⊍⩺⋍($1335$⨵⪆$7268$)⨐(≘$7357$))∀⇚≩($2714$⪃⊛⇣$2759$≓∲$6671$≴⪞⇿$5890$⪨≂($5553$⫁$8661$)⇡⇂($1010$⪔⊥$3360$))","expression":"(⇑⪆42324⋛⇑⪆101300↬(⇑⪆122210⋷⇑⪆134444)⊍⩺⋍(⇑⪆20320⨵⪆⇑⪆213033)⨐(≘⇑⪆213412))∀⇚≩(⇑⪆41324⪃⊛⇣⇑⪆42014≓∲⇑⪆203141≴⪞⇿⇑⪆142030⪨≂(⇑⪆134203⫁⇑⪆234121)⇡⇂(⇑⪆13020⪔⊥⇑⪆101420))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":53625,"operation_count":15,"complexity_ratio":3575.0,"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":2839,"base":5},"right_expr":{"type":"numeric_atoms","value":3325,"base":5}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4680,"base":5},"right_expr":{"type":"numeric_atoms","value":5624,"base":5}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1335,"base":5},"right_expr":{"type":"numeric_atoms","value":7268,"base":5}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":7357,"base":5}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2714,"base":5},"right_expr":{"type":"numeric_atoms","value":2759,"base":5}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":6671,"base":5},"right_expr":{"type":"numeric_atoms","value":5890,"base":5}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5553,"base":5},"right_expr":{"type":"numeric_atoms","value":8661,"base":5}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1010,"base":5},"right_expr":{"type":"numeric_atoms","value":3360,"base":5}}}}},"used_operators":["LRNGc0VcxI","OXDGMFPWZM","B5M0gjZbta","YbUVn0Rbpy","23Mk6UjR3U","Noe24qw2ks","2DQ55sFlQl","tcjXMdvYtA","sdazOOVcIp","s1XTVnmDOJ","rrgAzCduG9","lvlrscuwVU","UMwdvZNt44","0ajvFaJAv0","HJ9erzHUuu"],"dependent_operators":["X99M06cbEe","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rGHVDoGpnC","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","cHh1gJQ2o6","AHs5Up7iyr","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2839","layer":4},{"info":"number node, value=3325","layer":4},{"info":"compute binary expreesion, left_input=2839, right_input=3325, 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=-106641","layer":3},{"info":"number node, value=4680","layer":4},{"info":"number node, value=5624","layer":4},{"info":"compute binary expreesion, left_input=4680, right_input=5624, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6568","layer":3},{"info":"compute binary expreesion, left_input=-106641, right_input=6568, 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=1335","layer":4},{"info":"number node, value=7268","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=7268, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=7357","layer":4},{"info":"compute unary expreesion, input=7357, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=16222969","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=16222969, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-320","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-320, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=2714","layer":4},{"info":"number node, value=2759","layer":4},{"info":"compute binary expreesion, left_input=2714, right_input=2759, 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=6671","layer":4},{"info":"number node, value=5890","layer":4},{"info":"compute binary expreesion, left_input=6671, right_input=5890, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=81869042","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=81869042, 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=13123","layer":2},{"info":"number node, value=5553","layer":4},{"info":"number node, value=8661","layer":4},{"info":"compute binary expreesion, left_input=5553, right_input=8661, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1010","layer":4},{"info":"number node, value=3360","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=3360, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-2879","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2879, 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=13123, right_input=-163, 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=26674","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=26674, 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":5,"result_base":5,"text":"(⇑⪆42324⋛⇑⪆101300↬(⇑⪆122210⋷⇑⪆134444)⊍⩺⋍(⇑⪆20320⨵⪆⇑⪆213033)⨐(≘⇑⪆213412))∀⇚≩(⇑⪆41324⪃⊛⇣⇑⪆42014≓∲⇑⪆203141≴⪞⇿⇑⪆142030⪨≂(⇑⪆134203⫁⇑⪆234121)⇡⇂(⇑⪆13020⪔⊥⇑⪆101420))=NaN","reverse_text":"NaN=(⇑⪆42324⋛⇑⪆101300↬(⇑⪆122210⋷⇑⪆134444)⊍⩺⋍(⇑⪆20320⨵⪆⇑⪆213033)⨐(≘⇑⪆213412))∀⇚≩(⇑⪆41324⪃⊛⇣⇑⪆42014≓∲⇑⪆203141≴⪞⇿⇑⪆142030⪨≂(⇑⪆134203⫁⇑⪆234121)⇡⇂(⇑⪆13020⪔⊥⇑⪆101420))","cot":[{"info":"⇑⪆42324⋛⇑⪆101300=⇑⪆-11403031","layer":3},{"info":"⇑⪆122210⋷⇑⪆134444=⇑⪆202233","layer":3},{"info":"⇑⪆-11403031↬⇑⪆202233=NaN","layer":2},{"info":"⇑⪆20320⨵⪆⇑⪆213033=⇑⪆1120","layer":3},{"info":"≘⇑⪆213412=⇑⪆13123113334","layer":3},{"info":"⇑⪆1120⨐⇑⪆13123113334=⇑⪆-2240","layer":2},{"info":"NaN⊍⩺⋍⇑⪆-2240=NaN","layer":1},{"info":"⇑⪆41324⪃⊛⇣⇑⪆42014=⇑⪆14414","layer":3},{"info":"⇑⪆203141≴⪞⇿⇑⪆142030=⇑⪆131424302132","layer":3},{"info":"⇑⪆14414≓∲⇑⪆131424302132=⇑⪆404443","layer":2},{"info":"⇑⪆134203⫁⇑⪆234121=⇑⪆1120","layer":3},{"info":"⇑⪆13020⪔⊥⇑⪆101420=⇑⪆-43004","layer":3},{"info":"⇑⪆1120⇡⇂⇑⪆-43004=⇑⪆-1123","layer":2},{"info":"⇑⪆404443⪨≂⇑⪆-1123=⇑⪆1323144","layer":1},{"info":"NaN∀⇚≩⇑⪆1323144=NaN","layer":0}]}
{"id":718,"expression_no_base_symbol":"($2581$⊱⇼⊻$1168$⫃⨇$2534$⩒⫫$1110$)↢($4510$⪚$4409$⋫)↹⊜($1242$⨼⩣$2179$≄⊠($1549$⇄$7062$)⇄($4772$⋝⋈⪟$6200$≃(⇺⋃$6840$)))","expression":"(⇑⪆40311⊱⇼⊻⇑⪆14133⫃⨇⇑⪆40114⩒⫫⇑⪆13420)↢(⇑⪆121020⪚⇑⪆120114⋫)↹⊜(⇑⪆14432⨼⩣⇑⪆32204≄⊠(⇑⪆22144⇄⇑⪆211222)⇄(⇑⪆123042⋝⋈⪟⇑⪆144300≃(⇺⋃⇑⪆204330)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":786,"operation_count":14,"complexity_ratio":56.142857142857146,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2581,"base":5},"right_expr":{"type":"numeric_atoms","value":1168,"base":5}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2534,"base":5},"right_expr":{"type":"numeric_atoms","value":1110,"base":5}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":4510,"base":5},"right_expr":{"type":"numeric_atoms","value":4409,"base":5}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1242,"base":5},"right_expr":{"type":"numeric_atoms","value":2179,"base":5}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1549,"base":5},"right_expr":{"type":"numeric_atoms","value":7062,"base":5}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4772,"base":5},"right_expr":{"type":"numeric_atoms","value":6200,"base":5}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":6840,"base":5}}}}},"used_operators":["9bazX3JMtO","WR6HLWljOP","09Ly4LVMIf","FyVja0WsTP","KFSx94NKJn","JL8yIekQnl","HrjLwUk87U","3EYGwJThht","vXNesLlMH1","JxwMv5le6e","YbVcJGFEVW","2DDjHMKMc0","E5v5B3UAjG"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","tmPS8pqC7x","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"⇑⪆-341","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2581","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=2581, right_input=1168, 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=2534","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=2534, right_input=1110, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2232","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=2232, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-8960","layer":2},{"info":"number node, value=4510","layer":4},{"info":"number node, value=4409","layer":4},{"info":"compute binary expreesion, left_input=4510, right_input=4409, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-154","layer":3},{"info":"compute unary expreesion, input=-154, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-154","layer":2},{"info":"compute binary expreesion, left_input=-8960, right_input=-154, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-18228","layer":1},{"info":"number node, value=1242","layer":4},{"info":"number node, value=2179","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=2179, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1549","layer":4},{"info":"number node, value=7062","layer":4},{"info":"compute binary expreesion, left_input=1549, right_input=7062, 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 = 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=4772","layer":4},{"info":"number node, value=6200","layer":4},{"info":"compute binary expreesion, left_input=4772, right_input=6200, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4772","layer":3},{"info":"number node, value=6840","layer":4},{"info":"compute unary expreesion, input=6840, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4772, 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=1500, right_input=69, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-18228, right_input=0, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-96","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆40311⊱⇼⊻⇑⪆14133⫃⨇⇑⪆40114⩒⫫⇑⪆13420)↢(⇑⪆121020⪚⇑⪆120114⋫)↹⊜(⇑⪆14432⨼⩣⇑⪆32204≄⊠(⇑⪆22144⇄⇑⪆211222)⇄(⇑⪆123042⋝⋈⪟⇑⪆144300≃(⇺⋃⇑⪆204330)))=⇑⪆-341","reverse_text":"⇑⪆-341=(⇑⪆40311⊱⇼⊻⇑⪆14133⫃⨇⇑⪆40114⩒⫫⇑⪆13420)↢(⇑⪆121020⪚⇑⪆120114⋫)↹⊜(⇑⪆14432⨼⩣⇑⪆32204≄⊠(⇑⪆22144⇄⇑⪆211222)⇄(⇑⪆123042⋝⋈⪟⇑⪆144300≃(⇺⋃⇑⪆204330)))","cot":[{"info":"⇑⪆40311⊱⇼⊻⇑⪆14133=⇑⪆3214","layer":3},{"info":"⇑⪆40114⩒⫫⇑⪆13420=⇑⪆32412","layer":3},{"info":"⇑⪆3214⫃⨇⇑⪆32412=⇑⪆-241320","layer":2},{"info":"⇑⪆121020⪚⇑⪆120114=⇑⪆-1104","layer":3},{"info":"⇑⪆-1104⋫=⇑⪆-1104","layer":2},{"info":"⇑⪆-241320↢⇑⪆-1104=⇑⪆-1040403","layer":1},{"info":"⇑⪆14432⨼⩣⇑⪆32204=NaN","layer":3},{"info":"⇑⪆22144⇄⇑⪆211222=⇑⪆0","layer":3},{"info":"NaN≄⊠⇑⪆0=⇑⪆22000","layer":2},{"info":"⇑⪆123042⋝⋈⪟⇑⪆144300=⇑⪆123042","layer":3},{"info":"⇺⋃⇑⪆204330=NaN","layer":3},{"info":"⇑⪆123042≃NaN=⇑⪆234","layer":2},{"info":"⇑⪆22000⇄⇑⪆234=⇑⪆0","layer":1},{"info":"⇑⪆-1040403↹⊜⇑⪆0=⇑⪆-341","layer":0}]}
{"id":719,"expression_no_base_symbol":"∨∊⋏(∂⩏⊆(($1395$↡⊰⫅$3567$)≚⋢))","expression":"∨∊⋏(∂⩏⊆((⇑⪆21040↡⊰⫅⇑⪆103232)≚⋢))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":50114,"operation_count":4,"complexity_ratio":12528.5,"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":1395,"base":5},"right_expr":{"type":"numeric_atoms","value":3567,"base":5}}}}},"used_operators":["R5aXW34M0v","8WDwsbhb0R","MahUMFw56D","VCtxkLNOzz"],"dependent_operators":["L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","14qkJME0vr","eLAdDNolq6","3ViojmjbAp","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"⇑⪆4201","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=1395","layer":4},{"info":"number node, value=3567","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=3567, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=7134","layer":3},{"info":"compute unary expreesion, input=7134, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"compute unary expreesion, input=-89, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=573","layer":1},{"info":"compute unary expreesion, input=573, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=551","layer":0}],"base":5,"result_base":5,"text":"∨∊⋏(∂⩏⊆((⇑⪆21040↡⊰⫅⇑⪆103232)≚⋢))=⇑⪆4201","reverse_text":"⇑⪆4201=∨∊⋏(∂⩏⊆((⇑⪆21040↡⊰⫅⇑⪆103232)≚⋢))","cot":[{"info":"⇑⪆21040↡⊰⫅⇑⪆103232=⇑⪆212014","layer":3},{"info":"⇑⪆212014≚⋢=⇑⪆-324","layer":2},{"info":"∂⩏⊆⇑⪆-324=⇑⪆4243","layer":1},{"info":"∨∊⋏⇑⪆4243=⇑⪆4201","layer":0}]}
{"id":720,"expression_no_base_symbol":"⩏⊷≩(∓⪦(⨦⪝$2114$)⪝($1355$⊉≛↸$2055$))","expression":"⩏⊷≩(∓⪦(⨦⪝⇑⪆31424)⪝(⇑⪆20410⊉≛↸⇑⪆31210))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":501,"operation_count":5,"complexity_ratio":100.2,"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":2114,"base":5}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1355,"base":5},"right_expr":{"type":"numeric_atoms","value":2055,"base":5}}}}},"used_operators":["uOZ1tnYMDE","D309nIvmXG","wicAB68Tmb","SUjycxNXIR","DZ8iAZOCBD"],"dependent_operators":["23Mk6UjR3U","12rbrZMWeM","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆3434422","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2114","layer":4},{"info":"compute unary expreesion, input=2114, 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=1355","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=2055, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2710","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=2710, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-6833","layer":2},{"info":"compute unary expreesion, input=-6833, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-15312","layer":1},{"info":"compute unary expreesion, input=-15312, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=61862","layer":0}],"base":5,"result_base":5,"text":"⩏⊷≩(∓⪦(⨦⪝⇑⪆31424)⪝(⇑⪆20410⊉≛↸⇑⪆31210))=⇑⪆3434422","reverse_text":"⇑⪆3434422=⩏⊷≩(∓⪦(⨦⪝⇑⪆31424)⪝(⇑⪆20410⊉≛↸⇑⪆31210))","cot":[{"info":"⨦⪝⇑⪆31424=⇑⪆-30014","layer":3},{"info":"⇑⪆20410⊉≛↸⇑⪆31210=⇑⪆41320","layer":3},{"info":"⇑⪆-30014⪝⇑⪆41320=⇑⪆-204313","layer":2},{"info":"∓⪦⇑⪆-204313=⇑⪆-442222","layer":1},{"info":"⩏⊷≩⇑⪆-442222=⇑⪆3434422","layer":0}]}
{"id":721,"expression_no_base_symbol":"(($1174$⊨$1264$)⩧⪆$1957$⋣⋖$2293$)⋕⪉⪜((≯$2579$)+⪬∐$2841$⩖⊿$1308$)⋛(↔(⩦⩻⨪(⇐$3208$)))","expression":"((⇑⪆14144⊨⇑⪆20024)⩧⪆⇑⪆30312⋣⋖⇑⪆33133)⋕⪉⪜((≯⇑⪆40304)+⪬∐⇑⪆42331⩖⊿⇑⪆20213)⋛(↔(⩦⩻⨪(⇐⇑⪆100313)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":195,"operation_count":11,"complexity_ratio":17.727272727272727,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1174,"base":5},"right_expr":{"type":"numeric_atoms","value":1264,"base":5}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1957,"base":5},"right_expr":{"type":"numeric_atoms","value":2293,"base":5}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":2579,"base":5}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2841,"base":5},"right_expr":{"type":"numeric_atoms","value":1308,"base":5}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":3208,"base":5}}}}},"used_operators":["YbUVn0Rbpy","z6LnFrNh4i","Ikt5ks8PT7","vg4gO5BX6G","J0M6qkBnIM","2GS7woTJqF","keWfFq85dY","RZ5CV9rWsJ","ruOEQAzv1W","2td37pGCOC","nmZMaaE0Q9"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eewbuw0ToL","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","g55IO6H4Gj","D4vGDi5EA2","g55IO6H4Gj","JLbD19bQDL","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG"],"result":"⇑⪆-1033313","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1174","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=1264, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5727","layer":3},{"info":"number node, value=1957","layer":4},{"info":"number node, value=2293","layer":4},{"info":"compute binary expreesion, left_input=1957, right_input=2293, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1957","layer":3},{"info":"compute binary expreesion, left_input=5727, right_input=1957, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1957","layer":2},{"info":"number node, value=2579","layer":4},{"info":"compute unary expreesion, input=2579, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2841","layer":4},{"info":"number node, value=1308","layer":4},{"info":"compute binary expreesion, left_input=2841, right_input=1308, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-982","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-982, 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=-1957, right_input=0, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=3208","layer":4},{"info":"compute unary expreesion, input=3208, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=6474","layer":3},{"info":"compute unary expreesion, input=6474, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6474","layer":2},{"info":"compute unary expreesion, input=6474, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-6201","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=-6201, 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=-17958","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆14144⊨⇑⪆20024)⩧⪆⇑⪆30312⋣⋖⇑⪆33133)⋕⪉⪜((≯⇑⪆40304)+⪬∐⇑⪆42331⩖⊿⇑⪆20213)⋛(↔(⩦⩻⨪(⇐⇑⪆100313)))=⇑⪆-1033313","reverse_text":"⇑⪆-1033313=((⇑⪆14144⊨⇑⪆20024)⩧⪆⇑⪆30312⋣⋖⇑⪆33133)⋕⪉⪜((≯⇑⪆40304)+⪬∐⇑⪆42331⩖⊿⇑⪆20213)⋛(↔(⩦⩻⨪(⇐⇑⪆100313)))","cot":[{"info":"⇑⪆14144⊨⇑⪆20024=⇑⪆140402","layer":3},{"info":"⇑⪆30312⋣⋖⇑⪆33133=⇑⪆30312","layer":3},{"info":"⇑⪆140402⩧⪆⇑⪆30312=⇑⪆-30312","layer":2},{"info":"≯⇑⪆40304=⇑⪆0","layer":3},{"info":"⇑⪆42331⩖⊿⇑⪆20213=⇑⪆-12412","layer":3},{"info":"⇑⪆0+⪬∐⇑⪆-12412=⇑⪆0","layer":2},{"info":"⇑⪆-30312⋕⪉⪜⇑⪆0=⇑⪆1304","layer":1},{"info":"⇐⇑⪆100313=⇑⪆201344","layer":3},{"info":"⩦⩻⨪⇑⪆201344=⇑⪆201344","layer":2},{"info":"↔⇑⪆201344=⇑⪆-144301","layer":1},{"info":"⇑⪆1304⋛⇑⪆-144301=⇑⪆-1033313","layer":0}]}
{"id":722,"expression_no_base_symbol":"(⨈⪑($6065$⪔$4965$)⫘(⋃$3588$))⫰⋱($5711$+⪬∐$4759$)∓⋝(↪⫪⫘$5476$)⨚(($3194$⊍)⫡⨏$2650$∛$1039$)","expression":"(⨈⪑(⇑⪆143230⪔⇑⪆124330)⫘(⋃⇑⪆103323))⫰⋱(⇑⪆140321+⪬∐⇑⪆123014)∓⋝(↪⫪⫘⇑⪆133401)⨚((⇑⪆100234⊍)⫡⨏⇑⪆41100∛⇑⪆13124)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6216,"operation_count":12,"complexity_ratio":518.0,"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":6065,"base":5},"right_expr":{"type":"numeric_atoms","value":4965,"base":5}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":3588,"base":5}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":5711,"base":5},"right_expr":{"type":"numeric_atoms","value":4759,"base":5}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":5476,"base":5}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":3194,"base":5}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2650,"base":5},"right_expr":{"type":"numeric_atoms","value":1039,"base":5}}}}},"used_operators":["6o9Blt3TJ6","mp94q5OcYM","48vC8HMD2b","GjBEYRfMaF","3mBM5G4a3l","nREPSIbpBE","PoHhknlbAi","2GS7woTJqF","9dWsAM3GFt","QMFrweE19q","3nqY3DE9mg","w2537kitQq"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","g55IO6H4Gj","BjRHVeLaeN","12rbrZMWeM","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","g55IO6H4Gj","D4vGDi5EA2","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⇑⪆20331224","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6065","layer":4},{"info":"number node, value=4965","layer":4},{"info":"compute binary expreesion, left_input=6065, right_input=4965, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=3588","layer":4},{"info":"compute unary expreesion, input=3588, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=7278","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=7278, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=533605","layer":2},{"info":"compute unary expreesion, input=533605, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"number node, value=5711","layer":4},{"info":"number node, value=4759","layer":4},{"info":"compute binary expreesion, left_input=5711, right_input=4759, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-17133","layer":3},{"info":"number node, value=5476","layer":4},{"info":"compute unary expreesion, input=5476, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=-17133, right_input=20, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-3858","layer":2},{"info":"number node, value=3194","layer":4},{"info":"compute unary expreesion, input=3194, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=7902","layer":3},{"info":"number node, value=2650","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=2650, right_input=1039, 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=7902, right_input=67, 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=40427","layer":2},{"info":"compute binary expreesion, left_input=-3858, right_input=40427, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-168490","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-168490, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=167689","layer":0}],"base":5,"result_base":5,"text":"(⨈⪑(⇑⪆143230⪔⇑⪆124330)⫘(⋃⇑⪆103323))⫰⋱(⇑⪆140321+⪬∐⇑⪆123014)∓⋝(↪⫪⫘⇑⪆133401)⨚((⇑⪆100234⊍)⫡⨏⇑⪆41100∛⇑⪆13124)=⇑⪆20331224","reverse_text":"⇑⪆20331224=(⨈⪑(⇑⪆143230⪔⇑⪆124330)⫘(⋃⇑⪆103323))⫰⋱(⇑⪆140321+⪬∐⇑⪆123014)∓⋝(↪⫪⫘⇑⪆133401)⨚((⇑⪆100234⊍)⫡⨏⇑⪆41100∛⇑⪆13124)","cot":[{"info":"⇑⪆143230⪔⇑⪆124330=⇑⪆3300","layer":3},{"info":"⋃⇑⪆103323=⇑⪆213103","layer":3},{"info":"⇑⪆3300⫘⇑⪆213103=⇑⪆114033410","layer":2},{"info":"⨈⪑⇑⪆114033410=⇑⪆11433","layer":1},{"info":"⇑⪆140321+⪬∐⇑⪆123014=⇑⪆-1022013","layer":3},{"info":"↪⫪⫘⇑⪆133401=⇑⪆40","layer":3},{"info":"⇑⪆-1022013∓⋝⇑⪆40=⇑⪆-110413","layer":2},{"info":"⇑⪆100234⊍=⇑⪆223102","layer":3},{"info":"⇑⪆41100∛⇑⪆13124=⇑⪆232","layer":3},{"info":"⇑⪆223102⫡⨏⇑⪆232=⇑⪆2243202","layer":2},{"info":"⇑⪆-110413⨚⇑⪆2243202=⇑⪆-20342430","layer":1},{"info":"⇑⪆11433⫰⋱⇑⪆-20342430=⇑⪆20331224","layer":0}]}
{"id":723,"expression_no_base_symbol":"⋗⩬⋾(($3363$⪘⫢$2304$)⪃⊛⇣($1607$⊿∆)↑)","expression":"⋗⩬⋾((⇑⪆101423⪘⫢⇑⪆33204)⪃⊛⇣(⇑⪆22412⊿∆)↑)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":600,"operation_count":5,"complexity_ratio":120.0,"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":3363,"base":5},"right_expr":{"type":"numeric_atoms","value":2304,"base":5}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":1607,"base":5}}}}},"used_operators":["DpFCA1CohY","BThhyOhh10","rrgAzCduG9","oacrs7FA3X","fv3ZujxkQL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","NTOWxs364D"],"result":"⇑⪆-10131","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3363","layer":4},{"info":"number node, value=2304","layer":4},{"info":"compute binary expreesion, left_input=3363, right_input=2304, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6602","layer":3},{"info":"number node, value=1607","layer":4},{"info":"compute unary expreesion, input=1607, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-3335","layer":3},{"info":"compute binary expreesion, left_input=6602, right_input=-3335, 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 = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":1},{"info":"compute unary expreesion, input=222, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-666","layer":0}],"base":5,"result_base":5,"text":"⋗⩬⋾((⇑⪆101423⪘⫢⇑⪆33204)⪃⊛⇣(⇑⪆22412⊿∆)↑)=⇑⪆-10131","reverse_text":"⇑⪆-10131=⋗⩬⋾((⇑⪆101423⪘⫢⇑⪆33204)⪃⊛⇣(⇑⪆22412⊿∆)↑)","cot":[{"info":"⇑⪆101423⪘⫢⇑⪆33204=⇑⪆202402","layer":3},{"info":"⇑⪆22412⊿∆=⇑⪆-101320","layer":3},{"info":"⇑⪆202402⪃⊛⇣⇑⪆-101320=⇑⪆14414","layer":2},{"info":"⇑⪆14414↑=⇑⪆1342","layer":1},{"info":"⋗⩬⋾⇑⪆1342=⇑⪆-10131","layer":0}]}
{"id":724,"expression_no_base_symbol":"((($3891$/$1766$)⊫∞)⫸⇳((≀↧⇸$5174$)⊉≛↸(⫛⫱⨽$1348$)))≝⊿(($2866$⪶≀⋏$7476$)⇤($7331$⫔⩽⩺$1838$))⋹⋡⊁((⨭⩧⫛$3051$)↡⊰⫅(⨵≀≌$5411$))","expression":"(((⇑⪆111031/⇑⪆24031)⊫∞)⫸⇳((≀↧⇸⇑⪆131144)⊉≛↸(⫛⫱⨽⇑⪆20343)))≝⊿((⇑⪆42431⪶≀⋏⇑⪆214401)⇤(⇑⪆213311⫔⩽⩺⇑⪆24323))⋹⋡⊁((⨭⩧⫛⇑⪆44201)↡⊰⫅(⨵≀≌⇑⪆133121))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":252018,"operation_count":14,"complexity_ratio":18001.285714285714,"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":3891,"base":5},"right_expr":{"type":"numeric_atoms","value":1766,"base":5}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":5174,"base":5}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1348,"base":5}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2866,"base":5},"right_expr":{"type":"numeric_atoms","value":7476,"base":5}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":7331,"base":5},"right_expr":{"type":"numeric_atoms","value":1838,"base":5}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":3051,"base":5}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5411,"base":5}}}}},"used_operators":["OKKcZfAt5B","gx7XJ7hdpj","pABnYW3G3E","XhwjNDsVaA","DZ8iAZOCBD","ljTHtUsqzn","DlLNRPXxWL","As8RqfVLgs","YSKBFp38Pu","zR4jO40bMj","i9eR4S00cU","VCtxkLNOzz","g21JL6JxX7","srAu1WTS94"],"dependent_operators":["12rbrZMWeM","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XPYlsWDdGa","23Mk6UjR3U","rGHVDoGpnC","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","Tw270M8GLb","fu6greOZ01","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3891","layer":4},{"info":"number node, value=1766","layer":4},{"info":"compute binary expreesion, left_input=3891, right_input=1766, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":2},{"info":"number node, value=5174","layer":4},{"info":"compute unary expreesion, input=5174, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=10348","layer":3},{"info":"number node, value=1348","layer":4},{"info":"compute unary expreesion, input=1348, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=10348, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=20696","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=20696, 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=2866","layer":4},{"info":"number node, value=7476","layer":4},{"info":"compute binary expreesion, left_input=2866, right_input=7476, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-23782","layer":3},{"info":"number node, value=7331","layer":4},{"info":"number node, value=1838","layer":4},{"info":"compute binary expreesion, left_input=7331, right_input=1838, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-23782, 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=3051","layer":4},{"info":"compute unary expreesion, input=3051, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=5411","layer":4},{"info":"compute unary expreesion, input=5411, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-16233","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-16233, 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=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":"compute binary expreesion, left_input=0, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆111031/⇑⪆24031)⊫∞)⫸⇳((≀↧⇸⇑⪆131144)⊉≛↸(⫛⫱⨽⇑⪆20343)))≝⊿((⇑⪆42431⪶≀⋏⇑⪆214401)⇤(⇑⪆213311⫔⩽⩺⇑⪆24323))⋹⋡⊁((⨭⩧⫛⇑⪆44201)↡⊰⫅(⨵≀≌⇑⪆133121))=NaN","reverse_text":"NaN=(((⇑⪆111031/⇑⪆24031)⊫∞)⫸⇳((≀↧⇸⇑⪆131144)⊉≛↸(⫛⫱⨽⇑⪆20343)))≝⊿((⇑⪆42431⪶≀⋏⇑⪆214401)⇤(⇑⪆213311⫔⩽⩺⇑⪆24323))⋹⋡⊁((⨭⩧⫛⇑⪆44201)↡⊰⫅(⨵≀≌⇑⪆133121))","cot":[{"info":"⇑⪆111031/⇑⪆24031=⇑⪆2","layer":3},{"info":"⇑⪆2⊫∞=⇑⪆0","layer":2},{"info":"≀↧⇸⇑⪆131144=⇑⪆312343","layer":3},{"info":"⫛⫱⨽⇑⪆20343=⇑⪆0","layer":3},{"info":"⇑⪆312343⊉≛↸⇑⪆0=⇑⪆1130241","layer":2},{"info":"⇑⪆0⫸⇳⇑⪆1130241=⇑⪆0","layer":1},{"info":"⇑⪆42431⪶≀⋏⇑⪆214401=⇑⪆-1230112","layer":3},{"info":"⇑⪆213311⫔⩽⩺⇑⪆24323=NaN","layer":3},{"info":"⇑⪆-1230112⇤NaN=NaN","layer":2},{"info":"⨭⩧⫛⇑⪆44201=NaN","layer":3},{"info":"⨵≀≌⇑⪆133121=⇑⪆-1004413","layer":3},{"info":"NaN↡⊰⫅⇑⪆-1004413=NaN","layer":2},{"info":"NaN⋹⋡⊁NaN=NaN","layer":1},{"info":"⇑⪆0≝⊿NaN=NaN","layer":0}]}
{"id":725,"expression_no_base_symbol":"↞≼((↸⊣$4156$)%(⇁⨣⪵$3997$))⇂≾⫗(($1156$⇗⋫)∝($2578$⪑⩈))","expression":"↞≼((↸⊣⇑⪆113111)%(⇁⨣⪵⇑⪆111442))⇂≾⫗((⇑⪆14111⇗⋫)∝(⇑⪆40303⪑⩈))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":140,"operation_count":8,"complexity_ratio":17.5,"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":4156,"base":5}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3997,"base":5}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":1156,"base":5}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":2578,"base":5}}}}},"used_operators":["DE7zCoGJt9","aBQ6xLxuTc","k8jYdgA6NY","wztAlM01eG","inkyxCbjAn","cTDWOvIxvz","hpqmaQFPrd","C6VvDP6HwP"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","rysDP5nf3Z","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","B5M0gjZbta","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rxpJgHHUmx","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4156","layer":4},{"info":"compute unary expreesion, input=4156, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-3869","layer":3},{"info":"number node, value=3997","layer":4},{"info":"compute unary expreesion, input=3997, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3869, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1156","layer":4},{"info":"compute unary expreesion, input=1156, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"number node, value=2578","layer":4},{"info":"compute unary expreesion, input=2578, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=19636","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=19636, op_id = cTDWOvIxvz 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 = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"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":0}],"base":5,"result_base":5,"text":"↞≼((↸⊣⇑⪆113111)%(⇁⨣⪵⇑⪆111442))⇂≾⫗((⇑⪆14111⇗⋫)∝(⇑⪆40303⪑⩈))=NaN","reverse_text":"NaN=↞≼((↸⊣⇑⪆113111)%(⇁⨣⪵⇑⪆111442))⇂≾⫗((⇑⪆14111⇗⋫)∝(⇑⪆40303⪑⩈))","cot":[{"info":"↸⊣⇑⪆113111=⇑⪆-110434","layer":3},{"info":"⇁⨣⪵⇑⪆111442=NaN","layer":3},{"info":"⇑⪆-110434%NaN=NaN","layer":2},{"info":"⇑⪆14111⇗⋫=NaN","layer":3},{"info":"⇑⪆40303⪑⩈=⇑⪆1112021","layer":3},{"info":"NaN∝⇑⪆1112021=NaN","layer":2},{"info":"NaN⇂≾⫗NaN=NaN","layer":1},{"info":"↞≼NaN=NaN","layer":0}]}
{"id":726,"expression_no_base_symbol":"(⨣⨃⇪($5193$≚⊃≕$1584$≥⨤⩑$3708$↬$1590$))⇻⋧≁((($1699$≋⫹)⫲⨊)↤⩊((↥≼⋛$3413$)≎⊠⪸($1375$⫻⋑⊟)))","expression":"(⨣⨃⇪(⇑⪆131233≚⊃≕⇑⪆22314≥⨤⩑⇑⪆104313↬⇑⪆22330))⇻⋧≁(((⇑⪆23244≋⫹)⫲⨊)↤⩊((↥≼⋛⇑⪆102123)≎⊠⪸(⇑⪆21000⫻⋑⊟)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1722,"operation_count":11,"complexity_ratio":156.54545454545453,"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":5193,"base":5},"right_expr":{"type":"numeric_atoms","value":1584,"base":5}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3708,"base":5},"right_expr":{"type":"numeric_atoms","value":1590,"base":5}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1699,"base":5}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":3413,"base":5}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1375,"base":5}}}}},"used_operators":["jCPkEVoL5K","AcOhelriW5","gJLn6v0xnP","Bmrmz2XGnR","B5M0gjZbta","13rbtpv6ld","CArV6hThFE","N41Kp7NANJ","bJkvcejdHO","x5lMkHmzsq","o575Zjdmzy"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rGHVDoGpnC","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI"],"result":"⇑⪆-3242","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5193","layer":4},{"info":"number node, value=1584","layer":4},{"info":"compute binary expreesion, left_input=5193, right_input=1584, 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=3708","layer":4},{"info":"number node, value=1590","layer":4},{"info":"compute binary expreesion, left_input=3708, right_input=1590, 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=67, right_input=nan, 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 = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"number node, value=1699","layer":4},{"info":"compute unary expreesion, input=1699, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3398","layer":3},{"info":"compute unary expreesion, input=-3398, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=-16207","layer":2},{"info":"number node, value=3413","layer":4},{"info":"compute unary expreesion, input=3413, 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=1375","layer":4},{"info":"compute unary expreesion, input=1375, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-2240","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=-2240, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-16207, right_input=67, 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=1405, 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":0}],"base":5,"result_base":5,"text":"(⨣⨃⇪(⇑⪆131233≚⊃≕⇑⪆22314≥⨤⩑⇑⪆104313↬⇑⪆22330))⇻⋧≁(((⇑⪆23244≋⫹)⫲⨊)↤⩊((↥≼⋛⇑⪆102123)≎⊠⪸(⇑⪆21000⫻⋑⊟)))=⇑⪆-3242","reverse_text":"⇑⪆-3242=(⨣⨃⇪(⇑⪆131233≚⊃≕⇑⪆22314≥⨤⩑⇑⪆104313↬⇑⪆22330))⇻⋧≁(((⇑⪆23244≋⫹)⫲⨊)↤⩊((↥≼⋛⇑⪆102123)≎⊠⪸(⇑⪆21000⫻⋑⊟)))","cot":[{"info":"⇑⪆131233≚⊃≕⇑⪆22314=⇑⪆232","layer":3},{"info":"⇑⪆104313↬⇑⪆22330=NaN","layer":3},{"info":"⇑⪆232≥⨤⩑NaN=⇑⪆14414","layer":2},{"info":"⨣⨃⇪⇑⪆14414=⇑⪆21110","layer":1},{"info":"⇑⪆23244≋⫹=⇑⪆-102043","layer":3},{"info":"⇑⪆-102043⫲⨊=⇑⪆-1004312","layer":2},{"info":"↥≼⋛⇑⪆102123=⇑⪆-423","layer":3},{"info":"⇑⪆21000⫻⋑⊟=⇑⪆-32430","layer":3},{"info":"⇑⪆-423≎⊠⪸⇑⪆-32430=⇑⪆232","layer":2},{"info":"⇑⪆-1004312↤⩊⇑⪆232=NaN","layer":1},{"info":"⇑⪆21110⇻⋧≁NaN=⇑⪆-3242","layer":0}]}
{"id":727,"expression_no_base_symbol":"(↪⫪⫘(($4461$⊭↱$1019$)⪒⊣⊆($4323$≃$3444$)))≭(⫵↿($1679$≄⊠$8426$⩒⫫$9295$∳⫺$1371$))","expression":"(↪⫪⫘((⇑⪆120321⊭↱⇑⪆13034)⪒⊣⊆(⇑⪆114243≃⇑⪆102234)))≭(⫵↿(⇑⪆23204≄⊠⇑⪆232201⩒⫫⇑⪆244140∳⫺⇑⪆20441))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1054,"operation_count":9,"complexity_ratio":117.11111111111111,"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":4461,"base":5},"right_expr":{"type":"numeric_atoms","value":1019,"base":5}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":4323,"base":5},"right_expr":{"type":"numeric_atoms","value":3444,"base":5}}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1679,"base":5},"right_expr":{"type":"numeric_atoms","value":8426,"base":5}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":9295,"base":5},"right_expr":{"type":"numeric_atoms","value":1371,"base":5}}}}},"used_operators":["rxpJgHHUmx","9dWsAM3GFt","eRqsBgTDFp","COABgblf1C","YbVcJGFEVW","ivGwdmUAux","KFSx94NKJn","vXNesLlMH1","AzXXKTstlj"],"dependent_operators":["AHs5Up7iyr","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4461","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=4461, right_input=1019, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6879","layer":3},{"info":"number node, value=4323","layer":4},{"info":"number node, value=3444","layer":4},{"info":"compute binary expreesion, left_input=4323, right_input=3444, 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=-17332","layer":3},{"info":"compute binary expreesion, left_input=-6879, right_input=-17332, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=-20804","layer":2},{"info":"compute unary expreesion, input=-20804, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":1},{"info":"number node, value=1679","layer":4},{"info":"number node, value=8426","layer":4},{"info":"compute binary expreesion, left_input=1679, right_input=8426, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=139484","layer":3},{"info":"number node, value=9295","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=9295, right_input=1371, 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=139484, right_input=-260, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=139182","layer":2},{"info":"compute unary expreesion, input=139182, 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=20, right_input=137, 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":5,"result_base":5,"text":"(↪⫪⫘((⇑⪆120321⊭↱⇑⪆13034)⪒⊣⊆(⇑⪆114243≃⇑⪆102234)))≭(⫵↿(⇑⪆23204≄⊠⇑⪆232201⩒⫫⇑⪆244140∳⫺⇑⪆20441))=NaN","reverse_text":"NaN=(↪⫪⫘((⇑⪆120321⊭↱⇑⪆13034)⪒⊣⊆(⇑⪆114243≃⇑⪆102234)))≭(⫵↿(⇑⪆23204≄⊠⇑⪆232201⩒⫫⇑⪆244140∳⫺⇑⪆20441))","cot":[{"info":"⇑⪆120321⊭↱⇑⪆13034=⇑⪆-210004","layer":3},{"info":"⇑⪆114243≃⇑⪆102234=⇑⪆-1023312","layer":3},{"info":"⇑⪆-210004⪒⊣⊆⇑⪆-1023312=⇑⪆-1131204","layer":2},{"info":"↪⫪⫘⇑⪆-1131204=⇑⪆40","layer":1},{"info":"⇑⪆23204≄⊠⇑⪆232201=⇑⪆13430414","layer":3},{"info":"⇑⪆244140∳⫺⇑⪆20441=⇑⪆-2020","layer":3},{"info":"⇑⪆13430414⩒⫫⇑⪆-2020=⇑⪆13423212","layer":2},{"info":"⫵↿⇑⪆13423212=⇑⪆1022","layer":1},{"info":"⇑⪆40≭⇑⪆1022=NaN","layer":0}]}
{"id":728,"expression_no_base_symbol":"(($4828$∪⫐$1457$)⇯⋐)∛($1031$⫲≸⪮$1403$)↢($6160$⊢$1198$)⪒(∟⋨(($3204$∲⫓$1499$)⩵∡$3060$≦↸$7344$))","expression":"((⇑⪆123303∪⫐⇑⪆21312)⇯⋐)∛(⇑⪆13111⫲≸⪮⇑⪆21103)↢(⇑⪆144120⊢⇑⪆14243)⪒(∟⋨((⇑⪆100304∲⫓⇑⪆21444)⩵∡⇑⪆44220≦↸⇑⪆213334))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21446,"operation_count":11,"complexity_ratio":1949.6363636363637,"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":4828,"base":5},"right_expr":{"type":"numeric_atoms","value":1457,"base":5}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1031,"base":5},"right_expr":{"type":"numeric_atoms","value":1403,"base":5}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":6160,"base":5},"right_expr":{"type":"numeric_atoms","value":1198,"base":5}}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3204,"base":5},"right_expr":{"type":"numeric_atoms","value":1499,"base":5}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3060,"base":5},"right_expr":{"type":"numeric_atoms","value":7344,"base":5}}}}},"used_operators":["f6k1SAg4EE","w2537kitQq","LkLIoiE525","7YooWSwCyH","WR6HLWljOP","P3lXMJvFrc","5twsqlHp2o","ctOc4cKSDt","Y7wcNGrDQJ","i8ToyICDmI","RygbFNSyEJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","rJVOvQCfKK","2DDjHMKMc0","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","eLAdDNolq6","tmPS8pqC7x","NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⇑⪆-1131144","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4828","layer":4},{"info":"number node, value=1457","layer":4},{"info":"compute binary expreesion, left_input=4828, right_input=1457, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=4828","layer":3},{"info":"compute unary expreesion, input=4828, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=15362","layer":2},{"info":"number node, value=1031","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=1403, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1031","layer":3},{"info":"number node, value=6160","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=6160, right_input=1198, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-12564","layer":3},{"info":"compute binary expreesion, left_input=1031, right_input=-12564, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=547","layer":2},{"info":"compute binary expreesion, left_input=15362, right_input=547, 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=3204","layer":4},{"info":"number node, value=1499","layer":4},{"info":"compute binary expreesion, left_input=3204, right_input=1499, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3060","layer":4},{"info":"number node, value=7344","layer":4},{"info":"compute binary expreesion, left_input=3060, right_input=7344, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-20127","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-20127, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-20248","layer":2},{"info":"compute unary expreesion, input=-20248, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=20732","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=20732, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-20799","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆123303∪⫐⇑⪆21312)⇯⋐)∛(⇑⪆13111⫲≸⪮⇑⪆21103)↢(⇑⪆144120⊢⇑⪆14243)⪒(∟⋨((⇑⪆100304∲⫓⇑⪆21444)⩵∡⇑⪆44220≦↸⇑⪆213334))=⇑⪆-1131144","reverse_text":"⇑⪆-1131144=((⇑⪆123303∪⫐⇑⪆21312)⇯⋐)∛(⇑⪆13111⫲≸⪮⇑⪆21103)↢(⇑⪆144120⊢⇑⪆14243)⪒(∟⋨((⇑⪆100304∲⫓⇑⪆21444)⩵∡⇑⪆44220≦↸⇑⪆213334))","cot":[{"info":"⇑⪆123303∪⫐⇑⪆21312=⇑⪆123303","layer":3},{"info":"⇑⪆123303⇯⋐=⇑⪆442422","layer":2},{"info":"⇑⪆13111⫲≸⪮⇑⪆21103=⇑⪆13111","layer":3},{"info":"⇑⪆144120⊢⇑⪆14243=⇑⪆-400224","layer":3},{"info":"⇑⪆13111↢⇑⪆-400224=⇑⪆4142","layer":2},{"info":"⇑⪆442422∛⇑⪆4142=⇑⪆232","layer":1},{"info":"⇑⪆100304∲⫓⇑⪆21444=⇑⪆0","layer":3},{"info":"⇑⪆44220≦↸⇑⪆213334=⇑⪆-1121002","layer":3},{"info":"⇑⪆0⩵∡⇑⪆-1121002=⇑⪆-1121443","layer":2},{"info":"∟⋨⇑⪆-1121443=⇑⪆1130412","layer":1},{"info":"⇑⪆232⪒⇑⪆1130412=⇑⪆-1131144","layer":0}]}
{"id":729,"expression_no_base_symbol":"((($1619$↓⨍⋜)∲⫓$7501$*$1924$)⫦⪉(⇖($1731$⊦⊿)))⋛(⇈($6701$∺≝⩲$1629$∙⊟$3963$⪄$2709$))","expression":"(((⇑⪆22434↓⨍⋜)∲⫓⇑⪆220001*⇑⪆30144)⫦⪉(⇖(⇑⪆23411⊦⊿)))⋛(⇈(⇑⪆203301∺≝⩲⇑⪆23004∙⊟⇑⪆111323⪄⇑⪆41314))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3613,"operation_count":11,"complexity_ratio":328.45454545454544,"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":1619,"base":5}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7501,"base":5},"right_expr":{"type":"numeric_atoms","value":1924,"base":5}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1731,"base":5}}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":6701,"base":5},"right_expr":{"type":"numeric_atoms","value":1629,"base":5}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3963,"base":5},"right_expr":{"type":"numeric_atoms","value":2709,"base":5}}}}},"used_operators":["YbUVn0Rbpy","wscyQdcy20","i8ToyICDmI","3DVzLFNsE9","9HNa5Wba9A","tfWHHpNKUN","14qkJME0vr","SLLxy00UIr","SxTAKzQCrw","KPf6cnQVty","SUmda5xLS4"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","W4YGzv6Whe","2DQ55sFlQl","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⇑⪆-10241","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1619","layer":4},{"info":"compute unary expreesion, input=1619, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"number node, value=7501","layer":4},{"info":"number node, value=1924","layer":4},{"info":"compute binary expreesion, left_input=7501, right_input=1924, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14431924","layer":3},{"info":"compute binary expreesion, left_input=6590, right_input=14431924, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1731","layer":4},{"info":"compute unary expreesion, input=1731, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5272","layer":3},{"info":"compute unary expreesion, input=-5272, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4900","layer":1},{"info":"number node, value=6701","layer":4},{"info":"number node, value=1629","layer":4},{"info":"compute binary expreesion, left_input=6701, right_input=1629, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=3963","layer":4},{"info":"number node, value=2709","layer":4},{"info":"compute binary expreesion, left_input=3963, right_input=2709, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-593449","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-593449, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=20205","layer":2},{"info":"compute unary expreesion, input=20205, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=4900, right_input=-447, 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=-696","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆22434↓⨍⋜)∲⫓⇑⪆220001*⇑⪆30144)⫦⪉(⇖(⇑⪆23411⊦⊿)))⋛(⇈(⇑⪆203301∺≝⩲⇑⪆23004∙⊟⇑⪆111323⪄⇑⪆41314))=⇑⪆-10241","reverse_text":"⇑⪆-10241=(((⇑⪆22434↓⨍⋜)∲⫓⇑⪆220001*⇑⪆30144)⫦⪉(⇖(⇑⪆23411⊦⊿)))⋛(⇈(⇑⪆203301∺≝⩲⇑⪆23004∙⊟⇑⪆111323⪄⇑⪆41314))","cot":[{"info":"⇑⪆22434↓⨍⋜=⇑⪆202330","layer":3},{"info":"⇑⪆220001*⇑⪆30144=⇑⪆12143310144","layer":3},{"info":"⇑⪆202330∲⫓⇑⪆12143310144=⇑⪆0","layer":2},{"info":"⇑⪆23411⊦⊿=⇑⪆-132042","layer":3},{"info":"⇖⇑⪆-132042=⇑⪆1120","layer":2},{"info":"⇑⪆0⫦⪉⇑⪆1120=⇑⪆124100","layer":1},{"info":"⇑⪆203301∺≝⩲⇑⪆23004=⇑⪆1120","layer":3},{"info":"⇑⪆111323⪄⇑⪆41314=⇑⪆-122442244","layer":3},{"info":"⇑⪆1120∙⊟⇑⪆-122442244=⇑⪆1121310","layer":2},{"info":"⇈⇑⪆1121310=⇑⪆-3242","layer":1},{"info":"⇑⪆124100⋛⇑⪆-3242=⇑⪆-10241","layer":0}]}
{"id":730,"expression_no_base_symbol":"(($5011$⨲∙)⊾⪯⋞($3486$≦≮≮)/(⩩($1696$⩎⪣⊞)))+⇶⊼($9653$⋹⋡⊁$1279$⨜⨶($2344$*$1951$)⋻⩜⩜($2224$∓⋝$2637$⨁⊸⫻))","expression":"((⇑⪆130021⨲∙)⊾⪯⋞(⇑⪆102421≦≮≮)/(⩩(⇑⪆23241⩎⪣⊞)))+⇶⊼(⇑⪆302103⋹⋡⊁⇑⪆20104⨜⨶(⇑⪆33334*⇑⪆30301)⋻⩜⩜(⇑⪆32344∓⋝⇑⪆41022⨁⊸⫻))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":94083,"operation_count":13,"complexity_ratio":7237.153846153846,"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":5011,"base":5}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3486,"base":5}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":1696,"base":5}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":9653,"base":5},"right_expr":{"type":"numeric_atoms","value":1279,"base":5}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2344,"base":5},"right_expr":{"type":"numeric_atoms","value":1951,"base":5}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2224,"base":5},"right_expr":{"type":"numeric_atoms","value":2637,"base":5}}}}},"used_operators":["TpPTUOHfaN","XhwjNDsVaA","HK0tfVPux8","cRahaglYVE","D4vGDi5EA2","kMhfGuqI2H","waWucp1uQ4","oDCm7WA9JY","HiPekx5b7W","As8RqfVLgs","9HNa5Wba9A","glklzrTFfD","PoHhknlbAi"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","W4YGzv6Whe","t8gj7n24qd","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","mp7IySMOzn","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5011","layer":4},{"info":"compute unary expreesion, input=5011, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=65742730","layer":3},{"info":"number node, value=3486","layer":4},{"info":"compute unary expreesion, input=3486, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10458","layer":3},{"info":"compute binary expreesion, left_input=65742730, right_input=-10458, 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=1696","layer":4},{"info":"compute unary expreesion, input=1696, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=3392","layer":3},{"info":"compute unary expreesion, input=3392, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-820, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=9653","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=9653, right_input=1279, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2029","layer":3},{"info":"number node, value=2344","layer":4},{"info":"number node, value=1951","layer":4},{"info":"compute binary expreesion, left_input=2344, right_input=1951, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4573144","layer":3},{"info":"compute binary expreesion, left_input=2029, right_input=4573144, 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=-9146032","layer":2},{"info":"number node, value=2224","layer":4},{"info":"number node, value=2637","layer":4},{"info":"compute binary expreesion, left_input=2224, right_input=2637, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-9146032, right_input=67, 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=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":5,"result_base":5,"text":"((⇑⪆130021⨲∙)⊾⪯⋞(⇑⪆102421≦≮≮)/(⩩(⇑⪆23241⩎⪣⊞)))+⇶⊼(⇑⪆302103⋹⋡⊁⇑⪆20104⨜⨶(⇑⪆33334*⇑⪆30301)⋻⩜⩜(⇑⪆32344∓⋝⇑⪆41022⨁⊸⫻))=NaN","reverse_text":"NaN=((⇑⪆130021⨲∙)⊾⪯⋞(⇑⪆102421≦≮≮)/(⩩(⇑⪆23241⩎⪣⊞)))+⇶⊼(⇑⪆302103⋹⋡⊁⇑⪆20104⨜⨶(⇑⪆33334*⇑⪆30301)⋻⩜⩜(⇑⪆32344∓⋝⇑⪆41022⨁⊸⫻))","cot":[{"info":"⇑⪆130021⨲∙=⇑⪆113312231410","layer":3},{"info":"⇑⪆102421≦≮≮=⇑⪆-313313","layer":3},{"info":"⇑⪆113312231410⊾⪯⋞⇑⪆-313313=⇑⪆-11240","layer":2},{"info":"⇑⪆23241⩎⪣⊞=⇑⪆102032","layer":3},{"info":"⩩⇑⪆102032=NaN","layer":2},{"info":"⇑⪆-11240/NaN=NaN","layer":1},{"info":"⇑⪆302103⋹⋡⊁⇑⪆20104=⇑⪆31104","layer":3},{"info":"⇑⪆33334*⇑⪆30301=⇑⪆2132320034","layer":3},{"info":"⇑⪆31104⨜⨶⇑⪆2132320034=⇑⪆-4320133112","layer":2},{"info":"⇑⪆32344∓⋝⇑⪆41022=⇑⪆232","layer":3},{"info":"⇑⪆232⨁⊸⫻=⇑⪆232","layer":2},{"info":"⇑⪆-4320133112⋻⩜⩜⇑⪆232=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":731,"expression_no_base_symbol":"(⩷⨜⫀($2109$⊝⪿⪼$2284$∑⇟⊟(⊀$5763$)))⨔⇊($1543$∋$2002$⊴($3020$⫸⇳$6090$))⫞⩸⩒(($2114$⪡$4678$)⋥⋵⩄(⩷$3172$))","expression":"(⩷⨜⫀(⇑⪆31414⊝⪿⪼⇑⪆33114∑⇟⊟(⊀⇑⪆141023)))⨔⇊(⇑⪆22133∋⇑⪆31002⊴(⇑⪆44040⫸⇳⇑⪆143330))⫞⩸⩒((⇑⪆31424⪡⇑⪆122203)⋥⋵⩄(⩷⇑⪆100142))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":283,"operation_count":12,"complexity_ratio":23.583333333333332,"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":2109,"base":5},"right_expr":{"type":"numeric_atoms","value":2284,"base":5}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":5763,"base":5}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1543,"base":5},"right_expr":{"type":"numeric_atoms","value":2002,"base":5}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3020,"base":5},"right_expr":{"type":"numeric_atoms","value":6090,"base":5}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2114,"base":5},"right_expr":{"type":"numeric_atoms","value":4678,"base":5}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":3172,"base":5}}}}},"used_operators":["JclMnS0uGI","CDi0ktkjQ4","U7g4x0WXJJ","3Oe9XWJUTD","oPMjh9089D","XGcMNugi78","Nsiff2A1zJ","ukq6epAj5P","gx7XJ7hdpj","7t3wd0Fuz7","oraRL2iQuh","1h0rLqGiFr"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","ruOEQAzv1W","nhYeJWJD5X","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","14qkJME0vr","g55IO6H4Gj","7j4O788W3g"],"result":"⇑⪆-2432","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2109","layer":4},{"info":"number node, value=2284","layer":4},{"info":"compute binary expreesion, left_input=2109, right_input=2284, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=32693","layer":3},{"info":"number node, value=5763","layer":4},{"info":"compute unary expreesion, input=5763, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=22790","layer":3},{"info":"compute binary expreesion, left_input=32693, right_input=22790, 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 = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-134","layer":1},{"info":"number node, value=1543","layer":4},{"info":"number node, value=2002","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=2002, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4174708","layer":3},{"info":"number node, value=3020","layer":4},{"info":"number node, value=6090","layer":4},{"info":"compute binary expreesion, left_input=3020, right_input=6090, 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=4174708, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"number node, value=2114","layer":4},{"info":"number node, value=4678","layer":4},{"info":"compute binary expreesion, left_input=2114, right_input=4678, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=3172","layer":4},{"info":"compute unary expreesion, input=3172, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-38143","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-38143, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=379672","layer":2},{"info":"compute binary expreesion, left_input=-79, right_input=379672, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-79","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-79, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=-367","layer":0}],"base":5,"result_base":5,"text":"(⩷⨜⫀(⇑⪆31414⊝⪿⪼⇑⪆33114∑⇟⊟(⊀⇑⪆141023)))⨔⇊(⇑⪆22133∋⇑⪆31002⊴(⇑⪆44040⫸⇳⇑⪆143330))⫞⩸⩒((⇑⪆31424⪡⇑⪆122203)⋥⋵⩄(⩷⇑⪆100142))=⇑⪆-2432","reverse_text":"⇑⪆-2432=(⩷⨜⫀(⇑⪆31414⊝⪿⪼⇑⪆33114∑⇟⊟(⊀⇑⪆141023)))⨔⇊(⇑⪆22133∋⇑⪆31002⊴(⇑⪆44040⫸⇳⇑⪆143330))⫞⩸⩒((⇑⪆31424⪡⇑⪆122203)⋥⋵⩄(⩷⇑⪆100142))","cot":[{"info":"⇑⪆31414⊝⪿⪼⇑⪆33114=⇑⪆2021233","layer":3},{"info":"⊀⇑⪆141023=⇑⪆1212130","layer":3},{"info":"⇑⪆2021233∑⇟⊟⇑⪆1212130=NaN","layer":2},{"info":"⩷⨜⫀NaN=⇑⪆-1014","layer":1},{"info":"⇑⪆22133∋⇑⪆31002=⇑⪆2032042313","layer":3},{"info":"⇑⪆44040⫸⇳⇑⪆143330=⇑⪆0","layer":3},{"info":"⇑⪆2032042313⊴⇑⪆0=⇑⪆-304","layer":2},{"info":"⇑⪆31424⪡⇑⪆122203=⇑⪆412","layer":3},{"info":"⩷⇑⪆100142=⇑⪆-2210033","layer":3},{"info":"⇑⪆412⋥⋵⩄⇑⪆-2210033=⇑⪆44122142","layer":2},{"info":"⇑⪆-304⫞⩸⩒⇑⪆44122142=⇑⪆-304","layer":1},{"info":"⇑⪆-1014⨔⇊⇑⪆-304=⇑⪆-2432","layer":0}]}
{"id":732,"expression_no_base_symbol":"(($5464$⩺⪪$4501$)⊭∹↮)⩹($2353$⋣⋖$1202$⫚↹⊑$1737$⨻⩈⩔$2605$)⫡⨏($5402$↳≱$2478$⫃⨇($1755$⨵⪆$6680$))⋥⋵⩄($1595$⊋≦⊧$4887$⨐⩸⫘$5118$∠↢$1759$)","expression":"((⇑⪆133324⩺⪪⇑⪆121001)⊭∹↮)⩹(⇑⪆33403⋣⋖⇑⪆14302⫚↹⊑⇑⪆23422⨻⩈⩔⇑⪆40410)⫡⨏(⇑⪆133102↳≱⇑⪆34403⫃⨇(⇑⪆24010⨵⪆⇑⪆203210))⋥⋵⩄(⇑⪆22340⊋≦⊧⇑⪆124022⨐⩸⫘⇑⪆130433∠↢⇑⪆24014)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":437,"operation_count":14,"complexity_ratio":31.214285714285715,"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":5464,"base":5},"right_expr":{"type":"numeric_atoms","value":4501,"base":5}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2353,"base":5},"right_expr":{"type":"numeric_atoms","value":1202,"base":5}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1737,"base":5},"right_expr":{"type":"numeric_atoms","value":2605,"base":5}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":5402,"base":5},"right_expr":{"type":"numeric_atoms","value":2478,"base":5}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1755,"base":5},"right_expr":{"type":"numeric_atoms","value":6680,"base":5}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1595,"base":5},"right_expr":{"type":"numeric_atoms","value":4887,"base":5}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":5118,"base":5},"right_expr":{"type":"numeric_atoms","value":1759,"base":5}}}}},"used_operators":["QMFrweE19q","2Wsdkap16l","xNBdhnnwKq","uvdQJvN4PV","dfKe02y8D2","J0M6qkBnIM","nEsXyWgiOK","7t3wd0Fuz7","09Ly4LVMIf","JwTKLfZU96","2DQ55sFlQl","fu6greOZ01","oRDoc9rAEX","KbjG8mgYpV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5464","layer":4},{"info":"number node, value=4501","layer":4},{"info":"compute binary expreesion, left_input=5464, right_input=4501, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-16306","layer":3},{"info":"compute unary expreesion, input=-16306, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-16306","layer":2},{"info":"number node, value=2353","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=2353, right_input=1202, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2353","layer":3},{"info":"number node, value=1737","layer":4},{"info":"number node, value=2605","layer":4},{"info":"compute binary expreesion, left_input=1737, right_input=2605, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=5495","layer":3},{"info":"compute binary expreesion, left_input=2353, right_input=5495, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-16306, 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":1},{"info":"number node, value=5402","layer":4},{"info":"number node, value=2478","layer":4},{"info":"compute binary expreesion, left_input=5402, right_input=2478, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1755","layer":4},{"info":"number node, value=6680","layer":4},{"info":"compute binary expreesion, left_input=1755, right_input=6680, 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=0, right_input=160, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-672","layer":2},{"info":"number node, value=1595","layer":4},{"info":"number node, value=4887","layer":4},{"info":"compute binary expreesion, left_input=1595, right_input=4887, 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=-6242","layer":3},{"info":"number node, value=5118","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=5118, right_input=1759, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-44016","layer":3},{"info":"compute binary expreesion, left_input=-6242, right_input=-44016, 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=-672, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-449, 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":5,"result_base":5,"text":"((⇑⪆133324⩺⪪⇑⪆121001)⊭∹↮)⩹(⇑⪆33403⋣⋖⇑⪆14302⫚↹⊑⇑⪆23422⨻⩈⩔⇑⪆40410)⫡⨏(⇑⪆133102↳≱⇑⪆34403⫃⨇(⇑⪆24010⨵⪆⇑⪆203210))⋥⋵⩄(⇑⪆22340⊋≦⊧⇑⪆124022⨐⩸⫘⇑⪆130433∠↢⇑⪆24014)=NaN","reverse_text":"NaN=((⇑⪆133324⩺⪪⇑⪆121001)⊭∹↮)⩹(⇑⪆33403⋣⋖⇑⪆14302⫚↹⊑⇑⪆23422⨻⩈⩔⇑⪆40410)⫡⨏(⇑⪆133102↳≱⇑⪆34403⫃⨇(⇑⪆24010⨵⪆⇑⪆203210))⋥⋵⩄(⇑⪆22340⊋≦⊧⇑⪆124022⨐⩸⫘⇑⪆130433∠↢⇑⪆24014)","cot":[{"info":"⇑⪆133324⩺⪪⇑⪆121001=⇑⪆-1010211","layer":3},{"info":"⇑⪆-1010211⊭∹↮=⇑⪆-1010211","layer":2},{"info":"⇑⪆33403⋣⋖⇑⪆14302=⇑⪆33403","layer":3},{"info":"⇑⪆23422⨻⩈⩔⇑⪆40410=⇑⪆133440","layer":3},{"info":"⇑⪆33403⫚↹⊑⇑⪆133440=⇑⪆-3242","layer":2},{"info":"⇑⪆-1010211⩹⇑⪆-3242=⇑⪆-3244","layer":1},{"info":"⇑⪆133102↳≱⇑⪆34403=⇑⪆0","layer":3},{"info":"⇑⪆24010⨵⪆⇑⪆203210=⇑⪆1120","layer":3},{"info":"⇑⪆0⫃⨇⇑⪆1120=⇑⪆-10142","layer":2},{"info":"⇑⪆22340⊋≦⊧⇑⪆124022=⇑⪆-144432","layer":3},{"info":"⇑⪆130433∠↢⇑⪆24014=⇑⪆-2402031","layer":3},{"info":"⇑⪆-144432⨐⩸⫘⇑⪆-2402031=NaN","layer":2},{"info":"⇑⪆-10142⋥⋵⩄NaN=NaN","layer":1},{"info":"⇑⪆-3244⫡⨏NaN=NaN","layer":0}]}
{"id":733,"expression_no_base_symbol":"((⇺⋃$2289$⨂≜$1755$)⫸⇳(↨$2520$⨜⨶$4099$))⊎←↗","expression":"((⇺⋃⇑⪆33124⨂≜⇑⪆24010)⫸⇳(↨⇑⪆40040⨜⨶⇑⪆112344))⊎←↗","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2571,"operation_count":6,"complexity_ratio":428.5,"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":2289,"base":5},"right_expr":{"type":"numeric_atoms","value":1755,"base":5}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2520,"base":5},"right_expr":{"type":"numeric_atoms","value":4099,"base":5}}}}},"used_operators":["dwb5p0fa6d","gx7XJ7hdpj","E5v5B3UAjG","k1SHOSEABc","jiX4gk2v2Q","HiPekx5b7W"],"dependent_operators":["sdazOOVcIp","COABgblf1C","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rGHVDoGpnC","oZj3VtZNQx","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2289","layer":4},{"info":"number node, value=1755","layer":4},{"info":"compute binary expreesion, left_input=2289, right_input=1755, 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 = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"number node, value=2520","layer":4},{"info":"number node, value=4099","layer":4},{"info":"compute binary expreesion, left_input=2520, right_input=4099, 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=-7942","layer":3},{"info":"compute unary expreesion, input=-7942, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉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 = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇺⋃⇑⪆33124⨂≜⇑⪆24010)⫸⇳(↨⇑⪆40040⨜⨶⇑⪆112344))⊎←↗=NaN","reverse_text":"NaN=((⇺⋃⇑⪆33124⨂≜⇑⪆24010)⫸⇳(↨⇑⪆40040⨜⨶⇑⪆112344))⊎←↗","cot":[{"info":"⇑⪆33124⨂≜⇑⪆24010=NaN","layer":3},{"info":"⇺⋃NaN=NaN","layer":2},{"info":"⇑⪆40040⨜⨶⇑⪆112344=⇑⪆-223232","layer":3},{"info":"↨⇑⪆-223232=NaN","layer":2},{"info":"NaN⫸⇳NaN=NaN","layer":1},{"info":"NaN⊎←↗=NaN","layer":0}]}
{"id":734,"expression_no_base_symbol":"(≇⪴(⩦⊞$3347$)⋕⪉⪜($1091$⨪↰⇹$1926$))⪶≀⋏(⊿$2484$⊋≦⊧$1212$)⊲⩕⊾($3235$∘$6368$⋝⋈⪟$2738$⪛$6089$)","expression":"(≇⪴(⩦⊞⇑⪆101342)⋕⪉⪜(⇑⪆13331⨪↰⇹⇑⪆30201))⪶≀⋏(⊿⇑⪆34414⊋≦⊧⇑⪆14322)⊲⩕⊾(⇑⪆100420∘⇑⪆200433⋝⋈⪟⇑⪆41423⪛⇑⪆143324)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1222,"operation_count":11,"complexity_ratio":111.0909090909091,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":3347,"base":5}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1091,"base":5},"right_expr":{"type":"numeric_atoms","value":1926,"base":5}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2484,"base":5},"right_expr":{"type":"numeric_atoms","value":1212,"base":5}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3235,"base":5},"right_expr":{"type":"numeric_atoms","value":6368,"base":5}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2738,"base":5},"right_expr":{"type":"numeric_atoms","value":6089,"base":5}}}}},"used_operators":["zR4jO40bMj","zoVPnxeHJ3","z6LnFrNh4i","u7fv1HBiaC","tmPS8pqC7x","DmTXOeWf9t","DO4fhlbJSI","oRDoc9rAEX","2DDjHMKMc0","Z5m6OM72h2","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","rJVOvQCfKK","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⇑⪆24042124","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3347","layer":4},{"info":"compute unary expreesion, input=3347, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-3074","layer":3},{"info":"number node, value=1091","layer":4},{"info":"number node, value=1926","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=1926, 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=1091","layer":3},{"info":"compute binary expreesion, left_input=-3074, right_input=1091, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute unary expreesion, input=204, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=816","layer":1},{"info":"number node, value=2484","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=2484, right_input=1212, 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=-2184","layer":3},{"info":"compute unary expreesion, input=-2184, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=10122","layer":2},{"info":"number node, value=3235","layer":4},{"info":"number node, value=6368","layer":4},{"info":"compute binary expreesion, left_input=3235, right_input=6368, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=6470","layer":3},{"info":"number node, value=2738","layer":4},{"info":"number node, value=6089","layer":4},{"info":"compute binary expreesion, left_input=2738, right_input=6089, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2738","layer":3},{"info":"compute binary expreesion, left_input=6470, right_input=2738, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6470","layer":2},{"info":"compute binary expreesion, left_input=10122, right_input=6470, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-223282","layer":1},{"info":"compute binary expreesion, left_input=816, right_input=-223282, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=221539","layer":0}],"base":5,"result_base":5,"text":"(≇⪴(⩦⊞⇑⪆101342)⋕⪉⪜(⇑⪆13331⨪↰⇹⇑⪆30201))⪶≀⋏(⊿⇑⪆34414⊋≦⊧⇑⪆14322)⊲⩕⊾(⇑⪆100420∘⇑⪆200433⋝⋈⪟⇑⪆41423⪛⇑⪆143324)=⇑⪆24042124","reverse_text":"⇑⪆24042124=(≇⪴(⩦⊞⇑⪆101342)⋕⪉⪜(⇑⪆13331⨪↰⇹⇑⪆30201))⪶≀⋏(⊿⇑⪆34414⊋≦⊧⇑⪆14322)⊲⩕⊾(⇑⪆100420∘⇑⪆200433⋝⋈⪟⇑⪆41423⪛⇑⪆143324)","cot":[{"info":"⩦⊞⇑⪆101342=⇑⪆-44244","layer":3},{"info":"⇑⪆13331⨪↰⇹⇑⪆30201=⇑⪆13331","layer":3},{"info":"⇑⪆-44244⋕⪉⪜⇑⪆13331=⇑⪆1304","layer":2},{"info":"≇⪴⇑⪆1304=⇑⪆11231","layer":1},{"info":"⇑⪆34414⊋≦⊧⇑⪆14322=⇑⪆-32214","layer":3},{"info":"⊿⇑⪆-32214=⇑⪆310442","layer":2},{"info":"⇑⪆100420∘⇑⪆200433=⇑⪆201340","layer":3},{"info":"⇑⪆41423⪛⇑⪆143324=⇑⪆41423","layer":3},{"info":"⇑⪆201340⋝⋈⪟⇑⪆41423=⇑⪆201340","layer":2},{"info":"⇑⪆310442⊲⩕⊾⇑⪆201340=⇑⪆-24121112","layer":1},{"info":"⇑⪆11231⪶≀⋏⇑⪆-24121112=⇑⪆24042124","layer":0}]}
{"id":735,"expression_no_base_symbol":"(↘(≪($7146$⋻⩜⩜$5964$)))⨻⩈⩔($4573$⪇≇⋚$4512$∙⊟$1202$⨸$8205$)↼⊘⨖(($2906$⊭↱$6031$)∌↝($2995$⊿∆))","expression":"(↘(≪(⇑⪆212041⋻⩜⩜⇑⪆142324)))⨻⩈⩔(⇑⪆121243⪇≇⋚⇑⪆121022∙⊟⇑⪆14302⨸⇑⪆230310)↼⊘⨖((⇑⪆43111⊭↱⇑⪆143111)∌↝(⇑⪆43440⊿∆))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":85046,"operation_count":11,"complexity_ratio":7731.454545454545,"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":7146,"base":5},"right_expr":{"type":"numeric_atoms","value":5964,"base":5}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":4573,"base":5},"right_expr":{"type":"numeric_atoms","value":4512,"base":5}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1202,"base":5},"right_expr":{"type":"numeric_atoms","value":8205,"base":5}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2906,"base":5},"right_expr":{"type":"numeric_atoms","value":6031,"base":5}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":2995,"base":5}}}}},"used_operators":["nEsXyWgiOK","LdNpr8hQHL","Qtd6bqUJcN","oDCm7WA9JY","bPywburJMS","SxTAKzQCrw","3sJ7IOPOlU","KmoU8R5UQR","9Isq31Ruls","COABgblf1C","fv3ZujxkQL"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","uFcxV4UQCh","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D"],"result":"⇑⪆-1144","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7146","layer":4},{"info":"number node, value=5964","layer":4},{"info":"compute binary expreesion, left_input=7146, right_input=5964, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=14292","layer":3},{"info":"compute unary expreesion, input=14292, 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 = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=129","layer":1},{"info":"number node, value=4573","layer":4},{"info":"number node, value=4512","layer":4},{"info":"compute binary expreesion, left_input=4573, right_input=4512, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=1202","layer":4},{"info":"number node, value=8205","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=8205, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2404","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2404, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22285","layer":2},{"info":"number node, value=2906","layer":4},{"info":"number node, value=6031","layer":4},{"info":"compute binary expreesion, left_input=2906, right_input=6031, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6255","layer":3},{"info":"number node, value=2995","layer":4},{"info":"compute unary expreesion, input=2995, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-6111","layer":3},{"info":"compute binary expreesion, left_input=6255, right_input=-6111, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=12510","layer":2},{"info":"compute binary expreesion, left_input=22285, right_input=12510, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=24798","layer":1},{"info":"compute binary expreesion, left_input=129, right_input=24798, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":5,"result_base":5,"text":"(↘(≪(⇑⪆212041⋻⩜⩜⇑⪆142324)))⨻⩈⩔(⇑⪆121243⪇≇⋚⇑⪆121022∙⊟⇑⪆14302⨸⇑⪆230310)↼⊘⨖((⇑⪆43111⊭↱⇑⪆143111)∌↝(⇑⪆43440⊿∆))=⇑⪆-1144","reverse_text":"⇑⪆-1144=(↘(≪(⇑⪆212041⋻⩜⩜⇑⪆142324)))⨻⩈⩔(⇑⪆121243⪇≇⋚⇑⪆121022∙⊟⇑⪆14302⨸⇑⪆230310)↼⊘⨖((⇑⪆43111⊭↱⇑⪆143111)∌↝(⇑⪆43440⊿∆))","cot":[{"info":"⇑⪆212041⋻⩜⩜⇑⪆142324=⇑⪆424132","layer":3},{"info":"≪⇑⪆424132=⇑⪆12123","layer":2},{"info":"↘⇑⪆12123=⇑⪆1004","layer":1},{"info":"⇑⪆121243⪇≇⋚⇑⪆121022=⇑⪆0","layer":3},{"info":"⇑⪆14302⨸⇑⪆230310=⇑⪆34104","layer":3},{"info":"⇑⪆0∙⊟⇑⪆34104=⇑⪆1203120","layer":2},{"info":"⇑⪆43111⊭↱⇑⪆143111=⇑⪆200010","layer":3},{"info":"⇑⪆43440⊿∆=⇑⪆-143421","layer":3},{"info":"⇑⪆200010∌↝⇑⪆-143421=⇑⪆400020","layer":2},{"info":"⇑⪆1203120↼⊘⨖⇑⪆400020=⇑⪆1243143","layer":1},{"info":"⇑⪆1004⨻⩈⩔⇑⪆1243143=⇑⪆-1144","layer":0}]}
{"id":736,"expression_no_base_symbol":"($1025$⫣⪄⊒$2032$↼⊘⨖($1945$∩⋅)⨳⩥⨓$1706$↹⊜$2441$⩇∃⫛(⊤⊝$1336$))⋓(($3520$⊱⇼⊻$2095$∕⩚$7176$+⇶⊼$1208$)⪣⫩)","expression":"(⇑⪆13100⫣⪄⊒⇑⪆31112↼⊘⨖(⇑⪆30240∩⋅)⨳⩥⨓⇑⪆23311↹⊜⇑⪆34231⩇∃⫛(⊤⊝⇑⪆20321))⋓((⇑⪆103040⊱⇼⊻⇑⪆31340∕⩚⇑⪆212201+⇶⊼⇑⪆14313)⪣⫩)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":124,"operation_count":12,"complexity_ratio":10.333333333333334,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1025,"base":5},"right_expr":{"type":"numeric_atoms","value":2032,"base":5}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":1945,"base":5}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1706,"base":5},"right_expr":{"type":"numeric_atoms","value":2441,"base":5}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1336,"base":5}}}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3520,"base":5},"right_expr":{"type":"numeric_atoms","value":2095,"base":5}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7176,"base":5},"right_expr":{"type":"numeric_atoms","value":1208,"base":5}}}}},"used_operators":["T2fj7uvVaJ","nCS4ZIUYfx","bPywburJMS","RabNbG55vr","2MzE1hQ0cz","1aApVXNlOP","9bazX3JMtO","rXAclfmB4M","iuk5sVOGFA","z9ffQ9n5Zr","FyVja0WsTP","TpPTUOHfaN"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","Qy55tPpLXF","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","sdazOOVcIp","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","AHs5Up7iyr"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1025","layer":4},{"info":"number node, value=2032","layer":4},{"info":"compute binary expreesion, left_input=1025, 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=-10654","layer":3},{"info":"number node, value=1945","layer":4},{"info":"compute unary expreesion, input=1945, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-1824","layer":3},{"info":"compute binary expreesion, left_input=-10654, right_input=-1824, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-3870","layer":2},{"info":"number node, value=1706","layer":4},{"info":"number node, value=2441","layer":4},{"info":"compute binary expreesion, left_input=1706, right_input=2441, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-6448","layer":3},{"info":"number node, value=1336","layer":4},{"info":"compute unary expreesion, input=1336, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1374","layer":3},{"info":"compute binary expreesion, left_input=-6448, right_input=1374, 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=-6448","layer":2},{"info":"compute binary expreesion, left_input=-3870, right_input=-6448, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2578","layer":1},{"info":"number node, value=3520","layer":4},{"info":"number node, value=2095","layer":4},{"info":"compute binary expreesion, left_input=3520, right_input=2095, 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=7176","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=7176, right_input=1208, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute unary expreesion, input=-487, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":1},{"info":"compute binary expreesion, left_input=-2578, right_input=913, 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":5,"result_base":5,"text":"(⇑⪆13100⫣⪄⊒⇑⪆31112↼⊘⨖(⇑⪆30240∩⋅)⨳⩥⨓⇑⪆23311↹⊜⇑⪆34231⩇∃⫛(⊤⊝⇑⪆20321))⋓((⇑⪆103040⊱⇼⊻⇑⪆31340∕⩚⇑⪆212201+⇶⊼⇑⪆14313)⪣⫩)=⇑⪆0","reverse_text":"⇑⪆0=(⇑⪆13100⫣⪄⊒⇑⪆31112↼⊘⨖(⇑⪆30240∩⋅)⨳⩥⨓⇑⪆23311↹⊜⇑⪆34231⩇∃⫛(⊤⊝⇑⪆20321))⋓((⇑⪆103040⊱⇼⊻⇑⪆31340∕⩚⇑⪆212201+⇶⊼⇑⪆14313)⪣⫩)","cot":[{"info":"⇑⪆13100⫣⪄⊒⇑⪆31112=⇑⪆-320104","layer":3},{"info":"⇑⪆30240∩⋅=⇑⪆-24244","layer":3},{"info":"⇑⪆-320104↼⊘⨖⇑⪆-24244=⇑⪆-110440","layer":2},{"info":"⇑⪆23311↹⊜⇑⪆34231=⇑⪆-201243","layer":3},{"info":"⊤⊝⇑⪆20321=⇑⪆20444","layer":3},{"info":"⇑⪆-201243⩇∃⫛⇑⪆20444=⇑⪆-201243","layer":2},{"info":"⇑⪆-110440⨳⩥⨓⇑⪆-201243=⇑⪆-40303","layer":1},{"info":"⇑⪆103040⊱⇼⊻⇑⪆31340=⇑⪆3214","layer":3},{"info":"⇑⪆212201+⇶⊼⇑⪆14313=NaN","layer":3},{"info":"⇑⪆3214∕⩚NaN=⇑⪆-3422","layer":2},{"info":"⇑⪆-3422⪣⫩=⇑⪆12123","layer":1},{"info":"⇑⪆-40303⋓⇑⪆12123=⇑⪆0","layer":0}]}
{"id":737,"expression_no_base_symbol":"≉(↩⪖($3864$⫒⫫$1543$⨽$1040$↬$1395$))","expression":"≉(↩⪖(⇑⪆110424⫒⫫⇑⪆22133⨽⇑⪆13130↬⇑⪆21040))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":36,"operation_count":5,"complexity_ratio":7.2,"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":3864,"base":5},"right_expr":{"type":"numeric_atoms","value":1543,"base":5}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1040,"base":5},"right_expr":{"type":"numeric_atoms","value":1395,"base":5}}}}},"used_operators":["e1ybzncUwg","fG6uBQFnGz","8HhzD0ZcuI","6Ko8hGgeMq","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=3864","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=3864, right_input=1543, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=1040","layer":4},{"info":"number node, value=1395","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=1395, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', 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 unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"≉(↩⪖(⇑⪆110424⫒⫫⇑⪆22133⨽⇑⪆13130↬⇑⪆21040))=NaN","reverse_text":"NaN=≉(↩⪖(⇑⪆110424⫒⫫⇑⪆22133⨽⇑⪆13130↬⇑⪆21040))","cot":[{"info":"⇑⪆110424⫒⫫⇑⪆22133=NaN","layer":3},{"info":"⇑⪆13130↬⇑⪆21040=NaN","layer":3},{"info":"NaN⨽NaN=NaN","layer":2},{"info":"↩⪖NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":738,"expression_no_base_symbol":"(($5473$⪪$3066$⨽(⊢≑≆$2784$))≎⊠⪸($1474$↬$1119$)⊋($5299$⨕⋳))⨂≜(($4028$≁$1333$≨($1758$⪡$5804$))∘($6449$⩁⩘$1043$⪄(⋗⩴⪓$1944$)))","expression":"((⇑⪆133343⪪⇑⪆44231⨽(⊢≑≆⇑⪆42114))≎⊠⪸(⇑⪆21344↬⇑⪆13434)⊋(⇑⪆132144⨕⋳))⨂≜((⇑⪆112103≁⇑⪆20313≨(⇑⪆24013⪡⇑⪆141204))∘(⇑⪆201244⩁⩘⇑⪆13133⪄(⋗⩴⪓⇑⪆30234)))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":841577,"operation_count":15,"complexity_ratio":56105.13333333333,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":5473,"base":5},"right_expr":{"type":"numeric_atoms","value":3066,"base":5}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":2784,"base":5}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1474,"base":5},"right_expr":{"type":"numeric_atoms","value":1119,"base":5}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":5299,"base":5}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4028,"base":5},"right_expr":{"type":"numeric_atoms","value":1333,"base":5}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1758,"base":5},"right_expr":{"type":"numeric_atoms","value":5804,"base":5}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":6449,"base":5},"right_expr":{"type":"numeric_atoms","value":1043,"base":5}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1944,"base":5}}}}},"used_operators":["k1SHOSEABc","bJkvcejdHO","8HhzD0ZcuI","xD69zh8xqp","27wFxooxGf","W4tP9CfskL","B5M0gjZbta","4X4GscPmMf","Z5m6OM72h2","0KMCeP1Jsh","8N2wDY1A35","oraRL2iQuh","SUmda5xLS4","gub5Cegaqo","nOKPl9n5zu"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","FU0Cs4j7VP","JclMnS0uGI","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rGHVDoGpnC","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","eH2TOUuTDT","rysDP5nf3Z","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DpFCA1CohY","IWmyXbctLI","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5473","layer":4},{"info":"number node, value=3066","layer":4},{"info":"compute binary expreesion, left_input=5473, right_input=3066, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-822512","layer":3},{"info":"number node, value=2784","layer":4},{"info":"compute unary expreesion, input=2784, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=11588","layer":3},{"info":"compute binary expreesion, left_input=-822512, right_input=11588, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"number node, value=1474","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=1474, right_input=1119, 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=5299","layer":4},{"info":"compute unary expreesion, input=5299, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=385940","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=385940, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=4028","layer":4},{"info":"number node, value=1333","layer":4},{"info":"compute binary expreesion, left_input=4028, right_input=1333, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=18791","layer":3},{"info":"number node, value=1758","layer":4},{"info":"number node, value=5804","layer":4},{"info":"compute binary expreesion, left_input=1758, right_input=5804, 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=18791, right_input=107, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-185434","layer":2},{"info":"number node, value=6449","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=6449, right_input=1043, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5120","layer":3},{"info":"number node, value=1944","layer":4},{"info":"compute unary expreesion, input=1944, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-1031","layer":3},{"info":"compute binary expreesion, left_input=5120, right_input=-1031, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-749725","layer":2},{"info":"compute binary expreesion, left_input=-185434, right_input=-749725, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=185814","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=185814, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆133343⪪⇑⪆44231⨽(⊢≑≆⇑⪆42114))≎⊠⪸(⇑⪆21344↬⇑⪆13434)⊋(⇑⪆132144⨕⋳))⨂≜((⇑⪆112103≁⇑⪆20313≨(⇑⪆24013⪡⇑⪆141204))∘(⇑⪆201244⩁⩘⇑⪆13133⪄(⋗⩴⪓⇑⪆30234)))=NaN","reverse_text":"NaN=((⇑⪆133343⪪⇑⪆44231⨽(⊢≑≆⇑⪆42114))≎⊠⪸(⇑⪆21344↬⇑⪆13434)⊋(⇑⪆132144⨕⋳))⨂≜((⇑⪆112103≁⇑⪆20313≨(⇑⪆24013⪡⇑⪆141204))∘(⇑⪆201244⩁⩘⇑⪆13133⪄(⋗⩴⪓⇑⪆30234)))","cot":[{"info":"⇑⪆133343⪪⇑⪆44231=⇑⪆-202310022","layer":3},{"info":"⊢≑≆⇑⪆42114=⇑⪆332323","layer":3},{"info":"⇑⪆-202310022⨽⇑⪆332323=-Inf","layer":2},{"info":"⇑⪆21344↬⇑⪆13434=NaN","layer":3},{"info":"⇑⪆132144⨕⋳=⇑⪆44322230","layer":3},{"info":"NaN⊋⇑⪆44322230=NaN","layer":2},{"info":"-Inf≎⊠⪸NaN=⇑⪆232","layer":1},{"info":"⇑⪆112103≁⇑⪆20313=⇑⪆1100131","layer":3},{"info":"⇑⪆24013⪡⇑⪆141204=⇑⪆412","layer":3},{"info":"⇑⪆1100131≨⇑⪆412=⇑⪆-21413214","layer":2},{"info":"⇑⪆201244⩁⩘⇑⪆13133=⇑⪆130440","layer":3},{"info":"⋗⩴⪓⇑⪆30234=⇑⪆-13111","layer":3},{"info":"⇑⪆130440⪄⇑⪆-13111=⇑⪆-142442400","layer":2},{"info":"⇑⪆-21413214∘⇑⪆-142442400=⇑⪆21421224","layer":1},{"info":"⇑⪆232⨂≜⇑⪆21421224=NaN","layer":0}]}
{"id":739,"expression_no_base_symbol":"⫓⪴(⪸($2392$∺≝⩲$4890$⨟⋌⩍($3645$⪡$3254$)))","expression":"⫓⪴(⪸(⇑⪆34032∺≝⩲⇑⪆124030⨟⋌⩍(⇑⪆104040⪡⇑⪆101004)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2914,"operation_count":5,"complexity_ratio":582.8,"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":2392,"base":5},"right_expr":{"type":"numeric_atoms","value":4890,"base":5}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3645,"base":5},"right_expr":{"type":"numeric_atoms","value":3254,"base":5}}}}},"used_operators":["eLxqMNBOBk","86A5ENbKR9","rGHVDoGpnC","KPf6cnQVty","oraRL2iQuh"],"dependent_operators":["9HNa5Wba9A","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","Tcnh7f0tEr","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"⇑⪆2310312104","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2392","layer":4},{"info":"number node, value=4890","layer":4},{"info":"compute binary expreesion, left_input=2392, right_input=4890, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=3645","layer":4},{"info":"number node, value=3254","layer":4},{"info":"compute binary expreesion, left_input=3645, right_input=3254, 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=160, right_input=107, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=2273","layer":1},{"info":"compute unary expreesion, input=2273, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5166529","layer":0}],"base":5,"result_base":5,"text":"⫓⪴(⪸(⇑⪆34032∺≝⩲⇑⪆124030⨟⋌⩍(⇑⪆104040⪡⇑⪆101004)))=⇑⪆2310312104","reverse_text":"⇑⪆2310312104=⫓⪴(⪸(⇑⪆34032∺≝⩲⇑⪆124030⨟⋌⩍(⇑⪆104040⪡⇑⪆101004)))","cot":[{"info":"⇑⪆34032∺≝⩲⇑⪆124030=⇑⪆1120","layer":3},{"info":"⇑⪆104040⪡⇑⪆101004=⇑⪆412","layer":3},{"info":"⇑⪆1120⨟⋌⩍⇑⪆412=⇑⪆0","layer":2},{"info":"⪸⇑⪆0=⇑⪆33043","layer":1},{"info":"⫓⪴⇑⪆33043=⇑⪆2310312104","layer":0}]}
{"id":740,"expression_no_base_symbol":"($5638$⩖⊿$1222$⩧⪆(≯$1348$)⪉⨛($7103$↙$3091$)⩧⪆$1547$+⪬∐$2276$)∣(≱⇩⩕(⩎⋉$2485$)≓∲$1199$∺≝⩲$6094$)","expression":"(⇑⪆140023⩖⊿⇑⪆14342⩧⪆(≯⇑⪆20343)⪉⨛(⇑⪆211403↙⇑⪆44331)⩧⪆⇑⪆22142+⪬∐⇑⪆33101)∣(≱⇩⩕(⩎⋉⇑⪆34420)≓∲⇑⪆14244∺≝⩲⇑⪆143334)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3313,"operation_count":12,"complexity_ratio":276.0833333333333,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":5638,"base":5},"right_expr":{"type":"numeric_atoms","value":1222,"base":5}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1348,"base":5}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7103,"base":5},"right_expr":{"type":"numeric_atoms","value":3091,"base":5}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1547,"base":5},"right_expr":{"type":"numeric_atoms","value":2276,"base":5}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":2485,"base":5}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1199,"base":5},"right_expr":{"type":"numeric_atoms","value":6094,"base":5}}}}},"used_operators":["PPChnnnBFF","EWw2JM7wp4","Ikt5ks8PT7","RZ5CV9rWsJ","keWfFq85dY","yyfyN0ffXY","2GS7woTJqF","3DZMoQKiUl","s1XTVnmDOJ","FlXk3pOYe8","KPf6cnQVty"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","eewbuw0ToL","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","g55IO6H4Gj","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY","g55IO6H4Gj","D4vGDi5EA2","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⇑⪆-414313","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5638","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=5638, right_input=1222, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-12858","layer":3},{"info":"number node, value=1348","layer":4},{"info":"compute unary expreesion, input=1348, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-12858, 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=7103","layer":4},{"info":"number node, value=3091","layer":4},{"info":"compute binary expreesion, left_input=7103, right_input=3091, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9273","layer":3},{"info":"number node, value=1547","layer":4},{"info":"number node, value=2276","layer":4},{"info":"compute binary expreesion, left_input=1547, right_input=2276, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-4641","layer":3},{"info":"compute binary expreesion, left_input=-9273, right_input=-4641, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=4641","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4641, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-13708","layer":1},{"info":"number node, value=2485","layer":4},{"info":"compute unary expreesion, input=2485, 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=1199","layer":4},{"info":"number node, value=6094","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=6094, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=160, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=-90017","layer":2},{"info":"compute unary expreesion, input=-90017, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=630729","layer":1},{"info":"compute binary expreesion, left_input=-13708, right_input=630729, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-13708","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆140023⩖⊿⇑⪆14342⩧⪆(≯⇑⪆20343)⪉⨛(⇑⪆211403↙⇑⪆44331)⩧⪆⇑⪆22142+⪬∐⇑⪆33101)∣(≱⇩⩕(⩎⋉⇑⪆34420)≓∲⇑⪆14244∺≝⩲⇑⪆143334)=⇑⪆-414313","reverse_text":"⇑⪆-414313=(⇑⪆140023⩖⊿⇑⪆14342⩧⪆(≯⇑⪆20343)⪉⨛(⇑⪆211403↙⇑⪆44331)⩧⪆⇑⪆22142+⪬∐⇑⪆33101)∣(≱⇩⩕(⩎⋉⇑⪆34420)≓∲⇑⪆14244∺≝⩲⇑⪆143334)","cot":[{"info":"⇑⪆140023⩖⊿⇑⪆14342=⇑⪆-402413","layer":3},{"info":"≯⇑⪆20343=⇑⪆0","layer":3},{"info":"⇑⪆-402413⩧⪆⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆211403↙⇑⪆44331=⇑⪆-244043","layer":3},{"info":"⇑⪆22142+⪬∐⇑⪆33101=⇑⪆-122031","layer":3},{"info":"⇑⪆-244043⩧⪆⇑⪆-122031=⇑⪆122031","layer":2},{"info":"⇑⪆0⪉⨛⇑⪆122031=⇑⪆-414313","layer":1},{"info":"⩎⋉⇑⪆34420=⇑⪆23100","layer":3},{"info":"⇑⪆14244∺≝⩲⇑⪆143334=⇑⪆1120","layer":3},{"info":"⇑⪆23100≓∲⇑⪆1120=⇑⪆-10340032","layer":2},{"info":"≱⇩⩕⇑⪆-10340032=⇑⪆130140404","layer":1},{"info":"⇑⪆-414313∣⇑⪆130140404=⇑⪆-414313","layer":0}]}
{"id":741,"expression_no_base_symbol":"((⫶⊄≣$8415$)∛$7972$≌$2455$⊋(($2033$⫲≸⪮$1339$)↑))⨔⇊(≱⇩⩕(≑⋹($3337$⨚⇆$1411$)))","expression":"((⫶⊄≣⇑⪆232130)∛⇑⪆223342≌⇑⪆34310⊋((⇑⪆31113⫲≸⪮⇑⪆20324)↑))⨔⇊(≱⇩⩕(≑⋹(⇑⪆101322⨚⇆⇑⪆21121)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":36697,"operation_count":10,"complexity_ratio":3669.7,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":8415,"base":5}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":7972,"base":5},"right_expr":{"type":"numeric_atoms","value":2455,"base":5}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2033,"base":5},"right_expr":{"type":"numeric_atoms","value":1339,"base":5}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3337,"base":5},"right_expr":{"type":"numeric_atoms","value":1411,"base":5}}}}},"used_operators":["JclMnS0uGI","W4tP9CfskL","w2537kitQq","wxb3vTeyAj","lyWz822IDG","BThhyOhh10","P3lXMJvFrc","3DZMoQKiUl","6B9nyZLogK","lwHaAYXP2r"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8415","layer":4},{"info":"compute unary expreesion, input=8415, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=1274768209","layer":3},{"info":"number node, value=7972","layer":4},{"info":"number node, value=2455","layer":4},{"info":"compute binary expreesion, left_input=7972, right_input=2455, 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=1274768209, 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=2033","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=2033, right_input=1339, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2033","layer":3},{"info":"compute unary expreesion, input=2033, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=222, 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=-1014","layer":1},{"info":"number node, value=3337","layer":4},{"info":"number node, value=1411","layer":4},{"info":"compute binary expreesion, left_input=3337, right_input=1411, 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 = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1014, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⫶⊄≣⇑⪆232130)∛⇑⪆223342≌⇑⪆34310⊋((⇑⪆31113⫲≸⪮⇑⪆20324)↑))⨔⇊(≱⇩⩕(≑⋹(⇑⪆101322⨚⇆⇑⪆21121)))=NaN","reverse_text":"NaN=((⫶⊄≣⇑⪆232130)∛⇑⪆223342≌⇑⪆34310⊋((⇑⪆31113⫲≸⪮⇑⪆20324)↑))⨔⇊(≱⇩⩕(≑⋹(⇑⪆101322⨚⇆⇑⪆21121)))","cot":[{"info":"⫶⊄≣⇑⪆232130=⇑⪆10102320040314","layer":3},{"info":"⇑⪆223342≌⇑⪆34310=NaN","layer":3},{"info":"⇑⪆10102320040314∛NaN=⇑⪆232","layer":2},{"info":"⇑⪆31113⫲≸⪮⇑⪆20324=⇑⪆31113","layer":3},{"info":"⇑⪆31113↑=⇑⪆1342","layer":2},{"info":"⇑⪆232⊋⇑⪆1342=⇑⪆-13024","layer":1},{"info":"⇑⪆101322⨚⇆⇑⪆21121=NaN","layer":3},{"info":"≑⋹NaN=NaN","layer":2},{"info":"≱⇩⩕NaN=NaN","layer":1},{"info":"⇑⪆-13024⨔⇊NaN=NaN","layer":0}]}
{"id":742,"expression_no_base_symbol":"(($1254$⪎↠$1574$)⊟⇱)↞⋁(≸≮(⪨⨬$1351$))⪉⨛(↽≂(⊗($1113$⪒⊣⊆$9150$)))","expression":"((⇑⪆20004⪎↠⇑⪆22244)⊟⇱)↞⋁(≸≮(⪨⨬⇑⪆20401))⪉⨛(↽≂(⊗(⇑⪆13423⪒⊣⊆⇑⪆243100)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":288,"operation_count":9,"complexity_ratio":32.0,"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":1254,"base":5},"right_expr":{"type":"numeric_atoms","value":1574,"base":5}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":1351,"base":5}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1113,"base":5},"right_expr":{"type":"numeric_atoms","value":9150,"base":5}}}}},"used_operators":["EWw2JM7wp4","RqrPlJkxDo","03sUfWo75k","3tVxb0NHM4","AljMvE3RRm","5obUd6DV38","u6S6b8DprG","RhiyfpczSx","eRqsBgTDFp"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","IWmyXbctLI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","T2fj7uvVaJ","nlCqmYiOvY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","sdazOOVcIp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1254","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=1254, right_input=1574, 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 = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=636","layer":2},{"info":"number node, value=1351","layer":4},{"info":"compute unary expreesion, input=1351, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute unary expreesion, input=-526, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=8673","layer":2},{"info":"compute binary expreesion, left_input=636, right_input=8673, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=1113","layer":4},{"info":"number node, value=9150","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=9150, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2226","layer":3},{"info":"compute unary expreesion, input=2226, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-4452","layer":2},{"info":"compute unary expreesion, input=-4452, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=8904","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8904, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆20004⪎↠⇑⪆22244)⊟⇱)↞⋁(≸≮(⪨⨬⇑⪆20401))⪉⨛(↽≂(⊗(⇑⪆13423⪒⊣⊆⇑⪆243100)))=NaN","reverse_text":"NaN=((⇑⪆20004⪎↠⇑⪆22244)⊟⇱)↞⋁(≸≮(⪨⨬⇑⪆20401))⪉⨛(↽≂(⊗(⇑⪆13423⪒⊣⊆⇑⪆243100)))","cot":[{"info":"⇑⪆20004⪎↠⇑⪆22244=⇑⪆1120","layer":3},{"info":"⇑⪆1120⊟⇱=⇑⪆10021","layer":2},{"info":"⪨⨬⇑⪆20401=⇑⪆-4101","layer":3},{"info":"≸≮⇑⪆-4101=⇑⪆234143","layer":2},{"info":"⇑⪆10021↞⋁⇑⪆234143=NaN","layer":1},{"info":"⇑⪆13423⪒⊣⊆⇑⪆243100=⇑⪆32401","layer":3},{"info":"⊗⇑⪆32401=⇑⪆-120302","layer":2},{"info":"↽≂⇑⪆-120302=⇑⪆241104","layer":1},{"info":"NaN⪉⨛⇑⪆241104=NaN","layer":0}]}
{"id":743,"expression_no_base_symbol":"(($5892$⫚↹⊑$5741$)⨚($1461$↺$2510$)⋖∅⋲)≃⋄","expression":"((⇑⪆142032⫚↹⊑⇑⪆140431)⨚(⇑⪆21321↺⇑⪆40020)⋖∅⋲)≃⋄","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":77,"operation_count":5,"complexity_ratio":15.4,"tree":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":5892,"base":5},"right_expr":{"type":"numeric_atoms","value":5741,"base":5}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1461,"base":5},"right_expr":{"type":"numeric_atoms","value":2510,"base":5}}}}},"used_operators":["aN9a90urxU","L95AwlJzhO","nREPSIbpBE","dfKe02y8D2","7j4O788W3g"],"dependent_operators":["uFcxV4UQCh","jLgFTUHLKL","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","BjRHVeLaeN","12rbrZMWeM","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5892","layer":4},{"info":"number node, value=5741","layer":4},{"info":"compute binary expreesion, left_input=5892, right_input=5741, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=1461","layer":4},{"info":"number node, value=2510","layer":4},{"info":"compute binary expreesion, left_input=1461, right_input=2510, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2510","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=2510, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-10000","layer":2},{"info":"compute unary expreesion, input=-10000, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆142032⫚↹⊑⇑⪆140431)⨚(⇑⪆21321↺⇑⪆40020)⋖∅⋲)≃⋄=NaN","reverse_text":"NaN=((⇑⪆142032⫚↹⊑⇑⪆140431)⨚(⇑⪆21321↺⇑⪆40020)⋖∅⋲)≃⋄","cot":[{"info":"⇑⪆142032⫚↹⊑⇑⪆140431=⇑⪆-3242","layer":3},{"info":"⇑⪆21321↺⇑⪆40020=⇑⪆40020","layer":3},{"info":"⇑⪆-3242⨚⇑⪆40020=⇑⪆-310000","layer":2},{"info":"⇑⪆-310000⋖∅⋲=⇑⪆0","layer":1},{"info":"⇑⪆0≃⋄=NaN","layer":0}]}
{"id":744,"expression_no_base_symbol":"⨝⨆(⋂($7203$⊋≦⊧$2124$))⫰⋱($1048$≨$2001$)⫣⪄⊒($3970$≃$2815$)","expression":"⨝⨆(⋂(⇑⪆212303⊋≦⊧⇑⪆31444))⫰⋱(⇑⪆13143≨⇑⪆31001)⫣⪄⊒(⇑⪆111340≃⇑⪆42230)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":185,"operation_count":7,"complexity_ratio":26.428571428571427,"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":7203,"base":5},"right_expr":{"type":"numeric_atoms","value":2124,"base":5}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1048,"base":5},"right_expr":{"type":"numeric_atoms","value":2001,"base":5}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":3970,"base":5},"right_expr":{"type":"numeric_atoms","value":2815,"base":5}}}}},"used_operators":["bQ67fsrMVf","6o9Blt3TJ6","BUOGQAYlQx","oRDoc9rAEX","RabNbG55vr","0KMCeP1Jsh","YbVcJGFEVW"],"dependent_operators":["tifHPKVTfV","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"⇑⪆-3310014","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7203","layer":4},{"info":"number node, value=2124","layer":4},{"info":"compute binary expreesion, left_input=7203, right_input=2124, 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=-4008","layer":3},{"info":"compute unary expreesion, input=-4008, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=56708","layer":2},{"info":"number node, value=1048","layer":4},{"info":"number node, value=2001","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=2001, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-8004","layer":3},{"info":"number node, value=3970","layer":4},{"info":"number node, value=2815","layer":4},{"info":"compute binary expreesion, left_input=3970, right_input=2815, 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=-15920","layer":3},{"info":"compute binary expreesion, left_input=-8004, right_input=-15920, 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=56708, right_input=160, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-56675","layer":1},{"info":"compute unary expreesion, input=-56675, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-56884","layer":0}],"base":5,"result_base":5,"text":"⨝⨆(⋂(⇑⪆212303⊋≦⊧⇑⪆31444))⫰⋱(⇑⪆13143≨⇑⪆31001)⫣⪄⊒(⇑⪆111340≃⇑⪆42230)=⇑⪆-3310014","reverse_text":"⇑⪆-3310014=⨝⨆(⋂(⇑⪆212303⊋≦⊧⇑⪆31444))⫰⋱(⇑⪆13143≨⇑⪆31001)⫣⪄⊒(⇑⪆111340≃⇑⪆42230)","cot":[{"info":"⇑⪆212303⊋≦⊧⇑⪆31444=⇑⪆-112013","layer":3},{"info":"⋂⇑⪆-112013=⇑⪆3303313","layer":2},{"info":"⇑⪆13143≨⇑⪆31001=⇑⪆-224004","layer":3},{"info":"⇑⪆111340≃⇑⪆42230=⇑⪆-1002140","layer":3},{"info":"⇑⪆-224004⫣⪄⊒⇑⪆-1002140=⇑⪆1120","layer":2},{"info":"⇑⪆3303313⫰⋱⇑⪆1120=⇑⪆-3303200","layer":1},{"info":"⨝⨆⇑⪆-3303200=⇑⪆-3310014","layer":0}]}
{"id":745,"expression_no_base_symbol":"⇾⩊⇾(⪸(($3037$⋻⩜⩜$3463$)≚⊃≕(↑$1719$)))","expression":"⇾⩊⇾(⪸((⇑⪆44122⋻⩜⩜⇑⪆102323)≚⊃≕(↑⇑⪆23334)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":48592,"operation_count":5,"complexity_ratio":9718.4,"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":3037,"base":5},"right_expr":{"type":"numeric_atoms","value":3463,"base":5}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1719,"base":5}}}}},"used_operators":["bx9Z9DAK5y","86A5ENbKR9","Bmrmz2XGnR","oDCm7WA9JY","tR7O2zTn5j"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx"],"result":"⇑⪆30014","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3037","layer":4},{"info":"number node, value=3463","layer":4},{"info":"compute binary expreesion, left_input=3037, right_input=3463, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=6074","layer":3},{"info":"number node, value=1719","layer":4},{"info":"compute unary expreesion, input=1719, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=6074, right_input=192, 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 unary expreesion, input=67, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-930","layer":1},{"info":"compute unary expreesion, input=-930, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=1884","layer":0}],"base":5,"result_base":5,"text":"⇾⩊⇾(⪸((⇑⪆44122⋻⩜⩜⇑⪆102323)≚⊃≕(↑⇑⪆23334)))=⇑⪆30014","reverse_text":"⇑⪆30014=⇾⩊⇾(⪸((⇑⪆44122⋻⩜⩜⇑⪆102323)≚⊃≕(↑⇑⪆23334)))","cot":[{"info":"⇑⪆44122⋻⩜⩜⇑⪆102323=⇑⪆143244","layer":3},{"info":"↑⇑⪆23334=⇑⪆1232","layer":3},{"info":"⇑⪆143244≚⊃≕⇑⪆1232=⇑⪆232","layer":2},{"info":"⪸⇑⪆232=⇑⪆-12210","layer":1},{"info":"⇾⩊⇾⇑⪆-12210=⇑⪆30014","layer":0}]}
{"id":746,"expression_no_base_symbol":"(↪⫪⫘($1369$≓∲$5390$)⊕∕(⩒∊$2705$))↰","expression":"(↪⫪⫘(⇑⪆20434≓∲⇑⪆133030)⊕∕(⩒∊⇑⪆41310))↰","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":664,"operation_count":5,"complexity_ratio":132.8,"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":1369,"base":5},"right_expr":{"type":"numeric_atoms","value":5390,"base":5}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":2705,"base":5}}}}},"used_operators":["bl5wxAcryP","9dWsAM3GFt","9cloC0Ngie","s1XTVnmDOJ","qazvmhNBbN"],"dependent_operators":["nCS4ZIUYfx","Z2TMIBDE3Q","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6"],"result":"⇑⪆-311","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1369","layer":4},{"info":"number node, value=5390","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=5390, 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=14473","layer":3},{"info":"number node, value=2705","layer":4},{"info":"compute unary expreesion, input=2705, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=4653","layer":3},{"info":"compute binary expreesion, left_input=14473, right_input=4653, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=14473","layer":2},{"info":"compute unary expreesion, input=14473, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":1},{"info":"compute unary expreesion, input=20, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=-81","layer":0}],"base":5,"result_base":5,"text":"(↪⫪⫘(⇑⪆20434≓∲⇑⪆133030)⊕∕(⩒∊⇑⪆41310))↰=⇑⪆-311","reverse_text":"⇑⪆-311=(↪⫪⫘(⇑⪆20434≓∲⇑⪆133030)⊕∕(⩒∊⇑⪆41310))↰","cot":[{"info":"⇑⪆20434≓∲⇑⪆133030=⇑⪆430343","layer":3},{"info":"⩒∊⇑⪆41310=⇑⪆122103","layer":3},{"info":"⇑⪆430343⊕∕⇑⪆122103=⇑⪆430343","layer":2},{"info":"↪⫪⫘⇑⪆430343=⇑⪆40","layer":1},{"info":"⇑⪆40↰=⇑⪆-311","layer":0}]}
{"id":747,"expression_no_base_symbol":"$6611$≌$1298$⩁⩘$4287$⨽∌$1839$↼⊘⨖($5310$↳∿⪆$6144$⨸⪁$1217$⨚$2564$)⪉⨛($2311$↞⋁$2361$≎⊠⪸($3429$∁))⊮⊟↴(≪($7389$≎⊠⪸$1306$))","expression":"⇑⪆202421≌⇑⪆20143⩁⩘⇑⪆114122⨽∌⇑⪆24324↼⊘⨖(⇑⪆132220↳∿⪆⇑⪆144034⨸⪁⇑⪆14332⨚⇑⪆40224)⪉⨛(⇑⪆33221↞⋁⇑⪆33421≎⊠⪸(⇑⪆102204∁))⊮⊟↴(≪(⇑⪆214024≎⊠⪸⇑⪆20211))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":4582,"operation_count":14,"complexity_ratio":327.2857142857143,"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":6611,"base":5},"right_expr":{"type":"numeric_atoms","value":1298,"base":5}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4287,"base":5},"right_expr":{"type":"numeric_atoms","value":1839,"base":5}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":5310,"base":5},"right_expr":{"type":"numeric_atoms","value":6144,"base":5}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1217,"base":5},"right_expr":{"type":"numeric_atoms","value":2564,"base":5}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2311,"base":5},"right_expr":{"type":"numeric_atoms","value":2361,"base":5}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":3429,"base":5}}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":7389,"base":5},"right_expr":{"type":"numeric_atoms","value":1306,"base":5}}}}},"used_operators":["EWw2JM7wp4","bPywburJMS","gub5Cegaqo","lyWz822IDG","9samAPKr6k","g55IO6H4Gj","Cw4SuJJGHO","nREPSIbpBE","QDVgd2eftb","bJkvcejdHO","RqrPlJkxDo","jdwGQqwJi5","Qtd6bqUJcN"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","BjRHVeLaeN","12rbrZMWeM","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","2DDjHMKMc0","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6611","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=6611, right_input=1298, 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=4287","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=4287, right_input=1839, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"number node, value=5310","layer":4},{"info":"number node, value=6144","layer":4},{"info":"compute binary expreesion, left_input=5310, right_input=6144, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=1217","layer":4},{"info":"number node, value=2564","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=2564, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-6888","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6888, 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 = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":1},{"info":"number node, value=2311","layer":4},{"info":"number node, value=2361","layer":4},{"info":"compute binary expreesion, left_input=2311, right_input=2361, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=3429","layer":4},{"info":"compute unary expreesion, input=3429, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=3429","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3429, 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=7389","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=7389, right_input=1306, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1913278","layer":3},{"info":"compute unary expreesion, input=1913278, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=913, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⇑⪆202421≌⇑⪆20143⩁⩘⇑⪆114122⨽∌⇑⪆24324↼⊘⨖(⇑⪆132220↳∿⪆⇑⪆144034⨸⪁⇑⪆14332⨚⇑⪆40224)⪉⨛(⇑⪆33221↞⋁⇑⪆33421≎⊠⪸(⇑⪆102204∁))⊮⊟↴(≪(⇑⪆214024≎⊠⪸⇑⪆20211))=NaN","reverse_text":"NaN=⇑⪆202421≌⇑⪆20143⩁⩘⇑⪆114122⨽∌⇑⪆24324↼⊘⨖(⇑⪆132220↳∿⪆⇑⪆144034⨸⪁⇑⪆14332⨚⇑⪆40224)⪉⨛(⇑⪆33221↞⋁⇑⪆33421≎⊠⪸(⇑⪆102204∁))⊮⊟↴(≪(⇑⪆214024≎⊠⪸⇑⪆20211))","cot":[{"info":"⇑⪆202421≌⇑⪆20143=NaN","layer":3},{"info":"⇑⪆114122⨽∌⇑⪆24324=⇑⪆0","layer":3},{"info":"NaN⩁⩘⇑⪆0=NaN","layer":2},{"info":"⇑⪆132220↳∿⪆⇑⪆144034=NaN","layer":3},{"info":"⇑⪆14332⨚⇑⪆40224=⇑⪆-210023","layer":3},{"info":"NaN⨸⪁⇑⪆-210023=NaN","layer":2},{"info":"NaN↼⊘⨖NaN=NaN","layer":1},{"info":"⇑⪆33221↞⋁⇑⪆33421=NaN","layer":3},{"info":"⇑⪆102204∁=⇑⪆102204","layer":3},{"info":"NaN≎⊠⪸⇑⪆102204=NaN","layer":2},{"info":"⇑⪆214024≎⊠⪸⇑⪆20211=⇑⪆442211103","layer":3},{"info":"≪⇑⪆442211103=⇑⪆12123","layer":2},{"info":"NaN⊮⊟↴⇑⪆12123=⇑⪆0","layer":1},{"info":"NaN⪉⨛⇑⪆0=NaN","layer":0}]}
{"id":748,"expression_no_base_symbol":"(≑⋹($3589$∇⊂⋱$1406$∙⊟$2230$⪛⫼$2783$))≃(⨭⩧⫛(($5368$⪓⨏)⨔≚≋$3788$⩁⩘$2109$))","expression":"(≑⋹(⇑⪆103324∇⊂⋱⇑⪆21111∙⊟⇑⪆32410⪛⫼⇑⪆42113))≃(⨭⩧⫛((⇑⪆132433⪓⨏)⨔≚≋⇑⪆110123⩁⩘⇑⪆31414))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12561,"operation_count":9,"complexity_ratio":1395.6666666666667,"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":3589,"base":5},"right_expr":{"type":"numeric_atoms","value":1406,"base":5}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2230,"base":5},"right_expr":{"type":"numeric_atoms","value":2783,"base":5}}}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":5368,"base":5}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":3788,"base":5},"right_expr":{"type":"numeric_atoms","value":2109,"base":5}}}}},"used_operators":["YbVcJGFEVW","6B9nyZLogK","SxTAKzQCrw","nhYeJWJD5X","hyuBjUqXlG","g21JL6JxX7","Z57zeUYC9z","4X9JU4Jbn6","gub5Cegaqo"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","DpFCA1CohY","IWmyXbctLI"],"result":"⇑⪆234","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3589","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=3589, right_input=1406, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=6632","layer":3},{"info":"number node, value=2230","layer":4},{"info":"number node, value=2783","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=2783, 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=6632, right_input=968, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=96062","layer":2},{"info":"compute unary expreesion, input=96062, 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=5368","layer":4},{"info":"compute unary expreesion, input=5368, 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":"number node, value=3788","layer":4},{"info":"number node, value=2109","layer":4},{"info":"compute binary expreesion, left_input=3788, right_input=2109, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=9384","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9384, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1650, 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":5,"result_base":5,"text":"(≑⋹(⇑⪆103324∇⊂⋱⇑⪆21111∙⊟⇑⪆32410⪛⫼⇑⪆42113))≃(⨭⩧⫛((⇑⪆132433⪓⨏)⨔≚≋⇑⪆110123⩁⩘⇑⪆31414))=⇑⪆234","reverse_text":"⇑⪆234=(≑⋹(⇑⪆103324∇⊂⋱⇑⪆21111∙⊟⇑⪆32410⪛⫼⇑⪆42113))≃(⨭⩧⫛((⇑⪆132433⪓⨏)⨔≚≋⇑⪆110123⩁⩘⇑⪆31414))","cot":[{"info":"⇑⪆103324∇⊂⋱⇑⪆21111=⇑⪆203012","layer":3},{"info":"⇑⪆32410⪛⫼⇑⪆42113=⇑⪆12333","layer":3},{"info":"⇑⪆203012∙⊟⇑⪆12333=⇑⪆11033222","layer":2},{"info":"≑⋹⇑⪆11033222=⇑⪆23100","layer":1},{"info":"⇑⪆132433⪓⨏=NaN","layer":3},{"info":"⇑⪆110123⩁⩘⇑⪆31414=⇑⪆300014","layer":3},{"info":"NaN⨔≚≋⇑⪆300014=NaN","layer":2},{"info":"⨭⩧⫛NaN=NaN","layer":1},{"info":"⇑⪆23100≃NaN=⇑⪆234","layer":0}]}
{"id":749,"expression_no_base_symbol":"(≛(($3784$↱$1542$)↯⫤))⩖⊿($2025$⨰$3761$⫸⇳($2801$∽$6289$)≬⋮$4821$⨚$1630$⩵∡$2883$⪝$2051$)","expression":"(≛((⇑⪆110114↱⇑⪆22132)↯⫤))⩖⊿(⇑⪆31100⨰⇑⪆110021⫸⇳(⇑⪆42201∽⇑⪆200124)≬⋮⇑⪆123241⨚⇑⪆23010⩵∡⇑⪆43013⪝⇑⪆31201)","highest_n_order":3,"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":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3784,"base":5},"right_expr":{"type":"numeric_atoms","value":1542,"base":5}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2025,"base":5},"right_expr":{"type":"numeric_atoms","value":3761,"base":5}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2801,"base":5},"right_expr":{"type":"numeric_atoms","value":6289,"base":5}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":4821,"base":5},"right_expr":{"type":"numeric_atoms","value":1630,"base":5}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2883,"base":5},"right_expr":{"type":"numeric_atoms","value":2051,"base":5}}}}},"used_operators":["RZ5CV9rWsJ","W7eaUhjymW","VwlE7vj6HS","SR5kFfdi6N","kbkesczE7y","gx7XJ7hdpj","eewbuw0ToL","y4ImoPnbV5","Y7wcNGrDQJ","nREPSIbpBE","wicAB68Tmb"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","BjRHVeLaeN","12rbrZMWeM","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"⇑⪆1203","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3784","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=3784, right_input=1542, 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=-4104","layer":3},{"info":"compute unary expreesion, input=-4104, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=8208","layer":2},{"info":"compute unary expreesion, input=8208, 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=2025","layer":4},{"info":"number node, value=3761","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=3761, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1726","layer":3},{"info":"number node, value=2801","layer":4},{"info":"number node, value=6289","layer":4},{"info":"compute binary expreesion, left_input=2801, right_input=6289, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-32694","layer":3},{"info":"compute binary expreesion, left_input=-1726, right_input=-32694, 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=4821","layer":4},{"info":"number node, value=1630","layer":4},{"info":"compute binary expreesion, left_input=4821, right_input=1630, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=4056","layer":3},{"info":"number node, value=2883","layer":4},{"info":"number node, value=2051","layer":4},{"info":"compute binary expreesion, left_input=2883, right_input=2051, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-3727","layer":3},{"info":"compute binary expreesion, left_input=4056, right_input=-3727, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-11960","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-11960, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-10, right_input=868, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=178","layer":0}],"base":5,"result_base":5,"text":"(≛((⇑⪆110114↱⇑⪆22132)↯⫤))⩖⊿(⇑⪆31100⨰⇑⪆110021⫸⇳(⇑⪆42201∽⇑⪆200124)≬⋮⇑⪆123241⨚⇑⪆23010⩵∡⇑⪆43013⪝⇑⪆31201)=⇑⪆1203","reverse_text":"⇑⪆1203=(≛((⇑⪆110114↱⇑⪆22132)↯⫤))⩖⊿(⇑⪆31100⨰⇑⪆110021⫸⇳(⇑⪆42201∽⇑⪆200124)≬⋮⇑⪆123241⨚⇑⪆23010⩵∡⇑⪆43013⪝⇑⪆31201)","cot":[{"info":"⇑⪆110114↱⇑⪆22132=⇑⪆-112404","layer":3},{"info":"⇑⪆-112404↯⫤=⇑⪆230313","layer":2},{"info":"≛⇑⪆230313=⇑⪆-20","layer":1},{"info":"⇑⪆31100⨰⇑⪆110021=⇑⪆-23401","layer":3},{"info":"⇑⪆42201∽⇑⪆200124=⇑⪆-2021234","layer":3},{"info":"⇑⪆-23401⫸⇳⇑⪆-2021234=⇑⪆0","layer":2},{"info":"⇑⪆123241⨚⇑⪆23010=⇑⪆112211","layer":3},{"info":"⇑⪆43013⪝⇑⪆31201=⇑⪆-104402","layer":3},{"info":"⇑⪆112211⩵∡⇑⪆-104402=⇑⪆-340320","layer":2},{"info":"⇑⪆0≬⋮⇑⪆-340320=⇑⪆11433","layer":1},{"info":"⇑⪆-20⩖⊿⇑⪆11433=⇑⪆1203","layer":0}]}
{"id":750,"expression_no_base_symbol":"⊬↢((⩦⊞$5313$)⫲≸⪮(↯⪼$2027$)≧⫂∧(($4268$⊘)⇮⋭$3264$↺$3930$))","expression":"⊬↢((⩦⊞⇑⪆132223)⫲≸⪮(↯⪼⇑⪆31102)≧⫂∧((⇑⪆114033⊘)⇮⋭⇑⪆101024↺⇑⪆111210))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7823,"operation_count":8,"complexity_ratio":977.875,"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":5313,"base":5}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2027,"base":5}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4268,"base":5}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3264,"base":5},"right_expr":{"type":"numeric_atoms","value":3930,"base":5}}}}},"used_operators":["WPoGxAaPR1","Ph9nP6C5qx","P3lXMJvFrc","u7fv1HBiaC","8jW3W4yZS5","vkpjKywKVM","gu96TGCTMs","7j4O788W3g"],"dependent_operators":["XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"⇑⪆-210","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5313","layer":4},{"info":"compute unary expreesion, input=5313, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-5040","layer":3},{"info":"number node, value=2027","layer":4},{"info":"compute unary expreesion, input=2027, 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=-5040, right_input=-21, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-5040","layer":2},{"info":"number node, value=4268","layer":4},{"info":"compute unary expreesion, input=4268, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=3264","layer":4},{"info":"number node, value=3930","layer":4},{"info":"compute binary expreesion, left_input=3264, right_input=3930, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3930","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3930, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=-5040, right_input=-473, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-4567","layer":1},{"info":"compute unary expreesion, input=-4567, 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":5,"result_base":5,"text":"⊬↢((⩦⊞⇑⪆132223)⫲≸⪮(↯⪼⇑⪆31102)≧⫂∧((⇑⪆114033⊘)⇮⋭⇑⪆101024↺⇑⪆111210))=⇑⪆-210","reverse_text":"⇑⪆-210=⊬↢((⩦⊞⇑⪆132223)⫲≸⪮(↯⪼⇑⪆31102)≧⫂∧((⇑⪆114033⊘)⇮⋭⇑⪆101024↺⇑⪆111210))","cot":[{"info":"⩦⊞⇑⪆132223=⇑⪆-130130","layer":3},{"info":"↯⪼⇑⪆31102=⇑⪆-41","layer":3},{"info":"⇑⪆-130130⫲≸⪮⇑⪆-41=⇑⪆-130130","layer":2},{"info":"⇑⪆114033⊘=⇑⪆0","layer":3},{"info":"⇑⪆101024↺⇑⪆111210=⇑⪆111210","layer":3},{"info":"⇑⪆0⇮⋭⇑⪆111210=⇑⪆-3343","layer":2},{"info":"⇑⪆-130130≧⫂∧⇑⪆-3343=⇑⪆-121232","layer":1},{"info":"⊬↢⇑⪆-121232=⇑⪆-210","layer":0}]}
{"id":751,"expression_no_base_symbol":"($2434$⊋$3402$⊉≛↸($1535$⊓⋫))⋛($5392$⪨⊡$1900$⫸⇳($1010$⨌↪))⊲⩕⊾(⫵↿(($1303$%$4463$)≬⋮$4171$⇡⇂$2252$))","expression":"(⇑⪆34214⊋⇑⪆102102⊉≛↸(⇑⪆22120⊓⋫))⋛(⇑⪆133032⪨⊡⇑⪆30100⫸⇳(⇑⪆13020⨌↪))⊲⩕⊾(⫵↿((⇑⪆20203%⇑⪆120323)≬⋮⇑⪆113141⇡⇂⇑⪆33002))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13282,"operation_count":12,"complexity_ratio":1106.8333333333333,"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":2434,"base":5},"right_expr":{"type":"numeric_atoms","value":3402,"base":5}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":1535,"base":5}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":5392,"base":5},"right_expr":{"type":"numeric_atoms","value":1900,"base":5}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":1010,"base":5}}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1303,"base":5},"right_expr":{"type":"numeric_atoms","value":4463,"base":5}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4171,"base":5},"right_expr":{"type":"numeric_atoms","value":2252,"base":5}}}}},"used_operators":["DmTXOeWf9t","YbUVn0Rbpy","DZ8iAZOCBD","W4tP9CfskL","IqGBaFP0uj","gx7XJ7hdpj","kuIXHzHcAH","cWQsF5MvuD","ivGwdmUAux","kbkesczE7y","k8jYdgA6NY","UMwdvZNt44"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"⇑⪆-24402134","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2434","layer":4},{"info":"number node, value=3402","layer":4},{"info":"compute binary expreesion, left_input=2434, right_input=3402, 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=-24685388","layer":3},{"info":"number node, value=1535","layer":4},{"info":"compute unary expreesion, input=1535, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-1663","layer":3},{"info":"compute binary expreesion, left_input=-24685388, right_input=-1663, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1663","layer":2},{"info":"number node, value=5392","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=5392, right_input=1900, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-480, 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=1663, 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=-117225","layer":1},{"info":"number node, value=1303","layer":4},{"info":"number node, value=4463","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=4463, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1303","layer":3},{"info":"number node, value=4171","layer":4},{"info":"number node, value=2252","layer":4},{"info":"compute binary expreesion, left_input=4171, right_input=2252, 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=1303, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', 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=-117225, right_input=137, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-231544","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆34214⊋⇑⪆102102⊉≛↸(⇑⪆22120⊓⋫))⋛(⇑⪆133032⪨⊡⇑⪆30100⫸⇳(⇑⪆13020⨌↪))⊲⩕⊾(⫵↿((⇑⪆20203%⇑⪆120323)≬⋮⇑⪆113141⇡⇂⇑⪆33002))=⇑⪆-24402134","reverse_text":"⇑⪆-24402134=(⇑⪆34214⊋⇑⪆102102⊉≛↸(⇑⪆22120⊓⋫))⋛(⇑⪆133032⪨⊡⇑⪆30100⫸⇳(⇑⪆13020⨌↪))⊲⩕⊾(⫵↿((⇑⪆20203%⇑⪆120323)≬⋮⇑⪆113141⇡⇂⇑⪆33002))","cot":[{"info":"⇑⪆34214⊋⇑⪆102102=⇑⪆-22304413023","layer":3},{"info":"⇑⪆22120⊓⋫=⇑⪆-23123","layer":3},{"info":"⇑⪆-22304413023⊉≛↸⇑⪆-23123=⇑⪆23123","layer":2},{"info":"⇑⪆133032⪨⊡⇑⪆30100=⇑⪆0","layer":3},{"info":"⇑⪆13020⨌↪=⇑⪆-3410","layer":3},{"info":"⇑⪆0⫸⇳⇑⪆-3410=⇑⪆0","layer":2},{"info":"⇑⪆23123⋛⇑⪆0=⇑⪆-12222400","layer":1},{"info":"⇑⪆20203%⇑⪆120323=⇑⪆20203","layer":3},{"info":"⇑⪆113141⇡⇂⇑⪆33002=NaN","layer":3},{"info":"⇑⪆20203≬⋮NaN=NaN","layer":2},{"info":"⫵↿NaN=⇑⪆1022","layer":1},{"info":"⇑⪆-12222400⊲⩕⊾⇑⪆1022=⇑⪆-24402134","layer":0}]}
{"id":752,"expression_no_base_symbol":"((($3812$⫦⪉$2052$)⨐⩸⫘$1663$⊹∫⫚$1220$)⨐(($3320$⨻⩈⩔$6026$)⋩≍≻))⋹⋡⊁(($1753$+$3061$)⪝($5945$⩘$3156$)⪑⩈)","expression":"(((⇑⪆110222⫦⪉⇑⪆31202)⨐⩸⫘⇑⪆23123⊹∫⫚⇑⪆14340)⨐((⇑⪆101240⨻⩈⩔⇑⪆143101)⋩≍≻))⋹⋡⊁((⇑⪆24003+⇑⪆44221)⪝(⇑⪆142240⩘⇑⪆100111)⪑⩈)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":136664,"operation_count":11,"complexity_ratio":12424.0,"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":3812,"base":5},"right_expr":{"type":"numeric_atoms","value":2052,"base":5}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1663,"base":5},"right_expr":{"type":"numeric_atoms","value":1220,"base":5}}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":3320,"base":5},"right_expr":{"type":"numeric_atoms","value":6026,"base":5}}}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1753,"base":5},"right_expr":{"type":"numeric_atoms","value":3061,"base":5}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":5945,"base":5},"right_expr":{"type":"numeric_atoms","value":3156,"base":5}}}}},"used_operators":["As8RqfVLgs","Noe24qw2ks","fu6greOZ01","wscyQdcy20","uWAJUKEvyW","WYd1w68Nbz","nEsXyWgiOK","C6VvDP6HwP","wicAB68Tmb","W4YGzv6Whe","cHh1gJQ2o6"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","3ViojmjbAp","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"⇑⪆1113212","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3812","layer":4},{"info":"number node, value=2052","layer":4},{"info":"compute binary expreesion, left_input=3812, right_input=2052, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-2724","layer":3},{"info":"number node, value=1663","layer":4},{"info":"number node, value=1220","layer":4},{"info":"compute binary expreesion, left_input=1663, right_input=1220, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-268","layer":3},{"info":"compute binary expreesion, left_input=-2724, right_input=-268, 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=-265","layer":2},{"info":"number node, value=3320","layer":4},{"info":"number node, value=6026","layer":4},{"info":"compute binary expreesion, left_input=3320, right_input=6026, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=18159","layer":3},{"info":"compute unary expreesion, input=18159, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=-265, right_input=-55, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=530","layer":1},{"info":"number node, value=1753","layer":4},{"info":"number node, value=3061","layer":4},{"info":"compute binary expreesion, left_input=1753, right_input=3061, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4814","layer":3},{"info":"number node, value=5945","layer":4},{"info":"number node, value=3156","layer":4},{"info":"compute binary expreesion, left_input=5945, right_input=3156, 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=4814, right_input=160, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-19015","layer":2},{"info":"compute unary expreesion, input=-19015, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=19057","layer":1},{"info":"compute binary expreesion, left_input=530, right_input=19057, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=19807","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆110222⫦⪉⇑⪆31202)⨐⩸⫘⇑⪆23123⊹∫⫚⇑⪆14340)⨐((⇑⪆101240⨻⩈⩔⇑⪆143101)⋩≍≻))⋹⋡⊁((⇑⪆24003+⇑⪆44221)⪝(⇑⪆142240⩘⇑⪆100111)⪑⩈)=⇑⪆1113212","reverse_text":"⇑⪆1113212=(((⇑⪆110222⫦⪉⇑⪆31202)⨐⩸⫘⇑⪆23123⊹∫⫚⇑⪆14340)⨐((⇑⪆101240⨻⩈⩔⇑⪆143101)⋩≍≻))⋹⋡⊁((⇑⪆24003+⇑⪆44221)⪝(⇑⪆142240⩘⇑⪆100111)⪑⩈)","cot":[{"info":"⇑⪆110222⫦⪉⇑⪆31202=⇑⪆-41344","layer":3},{"info":"⇑⪆23123⊹∫⫚⇑⪆14340=⇑⪆-2033","layer":3},{"info":"⇑⪆-41344⨐⩸⫘⇑⪆-2033=⇑⪆-2030","layer":2},{"info":"⇑⪆101240⨻⩈⩔⇑⪆143101=⇑⪆1040114","layer":3},{"info":"⇑⪆1040114⋩≍≻=⇑⪆-210","layer":2},{"info":"⇑⪆-2030⨐⇑⪆-210=⇑⪆4110","layer":1},{"info":"⇑⪆24003+⇑⪆44221=⇑⪆123224","layer":3},{"info":"⇑⪆142240⩘⇑⪆100111=⇑⪆1120","layer":3},{"info":"⇑⪆123224⪝⇑⪆1120=⇑⪆-1102030","layer":2},{"info":"⇑⪆-1102030⪑⩈=⇑⪆1102212","layer":1},{"info":"⇑⪆4110⋹⋡⊁⇑⪆1102212=⇑⪆1113212","layer":0}]}
{"id":753,"expression_no_base_symbol":"(($1653$⨵⪆$1747$)⋭≵(⩦⩻⨪$4361$)∲⫓($3306$∝$7657$)∑⇟⊟(⨮↦↱$3607$))⨑⩅≇((($4738$≫≃)⨲)∋(($1021$∕⩚$1248$)⇆⨓≜))","expression":"((⇑⪆23103⨵⪆⇑⪆23442)⋭≵(⩦⩻⨪⇑⪆114421)∲⫓(⇑⪆101211∝⇑⪆221112)∑⇟⊟(⨮↦↱⇑⪆103412))⨑⩅≇(((⇑⪆122423≫≃)⨲)∋((⇑⪆13041∕⩚⇑⪆14443)⇆⨓≜))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6127,"operation_count":13,"complexity_ratio":471.3076923076923,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1653,"base":5},"right_expr":{"type":"numeric_atoms","value":1747,"base":5}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4361,"base":5}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":3306,"base":5},"right_expr":{"type":"numeric_atoms","value":7657,"base":5}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":3607,"base":5}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4738,"base":5}}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1021,"base":5},"right_expr":{"type":"numeric_atoms","value":1248,"base":5}}}}},"used_operators":["h92wMvzauj","i8ToyICDmI","jBncVCNhdl","2DQ55sFlQl","2td37pGCOC","U7g4x0WXJJ","cTDWOvIxvz","sYcpBQ0cFf","ukq6epAj5P","nLYMGWM7L8","X99M06cbEe","KvvgdUaMHJ","z9ffQ9n5Zr"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","7j4O788W3g","W4YGzv6Whe","COABgblf1C","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","Uaa54Peajs","KYD54nUTWz","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"⇑⪆12220","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1653","layer":4},{"info":"number node, value=1747","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=1747, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4361","layer":4},{"info":"compute unary expreesion, input=4361, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4361","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4361, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=-75","layer":2},{"info":"number node, value=3306","layer":4},{"info":"number node, value=7657","layer":4},{"info":"compute binary expreesion, left_input=3306, right_input=7657, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3311","layer":3},{"info":"number node, value=3607","layer":4},{"info":"compute unary expreesion, input=3607, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-29108367","layer":3},{"info":"compute binary expreesion, left_input=3311, right_input=-29108367, 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=-75, 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=4738","layer":4},{"info":"compute unary expreesion, input=4738, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10877","layer":3},{"info":"compute unary expreesion, input=10877, 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=1021","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=1248, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1024","layer":3},{"info":"compute unary expreesion, input=-1024, 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 = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', 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":5,"result_base":5,"text":"((⇑⪆23103⨵⪆⇑⪆23442)⋭≵(⩦⩻⨪⇑⪆114421)∲⫓(⇑⪆101211∝⇑⪆221112)∑⇟⊟(⨮↦↱⇑⪆103412))⨑⩅≇(((⇑⪆122423≫≃)⨲)∋((⇑⪆13041∕⩚⇑⪆14443)⇆⨓≜))=⇑⪆12220","reverse_text":"⇑⪆12220=((⇑⪆23103⨵⪆⇑⪆23442)⋭≵(⩦⩻⨪⇑⪆114421)∲⫓(⇑⪆101211∝⇑⪆221112)∑⇟⊟(⨮↦↱⇑⪆103412))⨑⩅≇(((⇑⪆122423≫≃)⨲)∋((⇑⪆13041∕⩚⇑⪆14443)⇆⨓≜))","cot":[{"info":"⇑⪆23103⨵⪆⇑⪆23442=⇑⪆1120","layer":3},{"info":"⩦⩻⨪⇑⪆114421=⇑⪆114421","layer":3},{"info":"⇑⪆1120⋭≵⇑⪆114421=⇑⪆-300","layer":2},{"info":"⇑⪆101211∝⇑⪆221112=⇑⪆101221","layer":3},{"info":"⨮↦↱⇑⪆103412=⇑⪆-24422431432","layer":3},{"info":"⇑⪆101221∑⇟⊟⇑⪆-24422431432=NaN","layer":2},{"info":"⇑⪆-300∲⫓NaN=NaN","layer":1},{"info":"⇑⪆122423≫≃=⇑⪆322002","layer":3},{"info":"⇑⪆322002⨲=NaN","layer":2},{"info":"⇑⪆13041∕⩚⇑⪆14443=⇑⪆-13044","layer":3},{"info":"⇑⪆-13044⇆⨓≜=NaN","layer":2},{"info":"NaN∋NaN=NaN","layer":1},{"info":"NaN⨑⩅≇NaN=⇑⪆12220","layer":0}]}
{"id":754,"expression_no_base_symbol":"↨⩢⫨(⊊≼∋(⨝⨆($1658$⋩≍≻)))","expression":"↨⩢⫨(⊊≼∋(⨝⨆(⇑⪆23113⋩≍≻)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":79,"operation_count":4,"complexity_ratio":19.75,"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":1658,"base":5}}}}},"used_operators":["Z5CJsN7DuW","FWz7pXsQhA","bQ67fsrMVf","WYd1w68Nbz"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","B5M0gjZbta","jCPkEVoL5K","tifHPKVTfV","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1658","layer":4},{"info":"compute unary expreesion, input=1658, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute unary expreesion, input=-55, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-264","layer":2},{"info":"compute unary expreesion, input=-264, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":5,"result_base":5,"text":"↨⩢⫨(⊊≼∋(⨝⨆(⇑⪆23113⋩≍≻)))=⇑⪆0","reverse_text":"⇑⪆0=↨⩢⫨(⊊≼∋(⨝⨆(⇑⪆23113⋩≍≻)))","cot":[{"info":"⇑⪆23113⋩≍≻=⇑⪆-210","layer":3},{"info":"⨝⨆⇑⪆-210=⇑⪆-2024","layer":2},{"info":"⊊≼∋⇑⪆-2024=NaN","layer":1},{"info":"↨⩢⫨NaN=⇑⪆0","layer":0}]}
{"id":755,"expression_no_base_symbol":"⋠∜(⇺⋃(($7445$⇷$3111$)⨲∙))","expression":"⋠∜(⇺⋃((⇑⪆214240⇷⇑⪆44421)⨲∙))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":104761,"operation_count":4,"complexity_ratio":26190.25,"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":7445,"base":5},"right_expr":{"type":"numeric_atoms","value":3111,"base":5}}}}},"used_operators":["ZJpFhNJr3x","E5v5B3UAjG","cRahaglYVE","mp7IySMOzn"],"dependent_operators":["X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⇑⪆232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7445","layer":4},{"info":"number node, value=3111","layer":4},{"info":"compute binary expreesion, left_input=7445, right_input=3111, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6222","layer":3},{"info":"compute unary expreesion, input=6222, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=82052478","layer":2},{"info":"compute unary expreesion, input=82052478, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=67","layer":0}],"base":5,"result_base":5,"text":"⋠∜(⇺⋃((⇑⪆214240⇷⇑⪆44421)⨲∙))=⇑⪆232","reverse_text":"⇑⪆232=⋠∜(⇺⋃((⇑⪆214240⇷⇑⪆44421)⨲∙))","cot":[{"info":"⇑⪆214240⇷⇑⪆44421=⇑⪆144342","layer":3},{"info":"⇑⪆144342⨲∙=⇑⪆132001134403","layer":2},{"info":"⇺⋃⇑⪆132001134403=NaN","layer":1},{"info":"⋠∜NaN=⇑⪆232","layer":0}]}
{"id":756,"expression_no_base_symbol":"(($1542$⪨≂$4426$)⊬⨰($4645$⪡$1065$))↤⩊$4897$⫗⊷⫓$5517$⊕∕($1101$⊾⪯⋞$2174$)⫍⨯↯","expression":"((⇑⪆22132⪨≂⇑⪆120201)⊬⨰(⇑⪆122040⪡⇑⪆13230))↤⩊⇑⪆124042⫗⊷⫓⇑⪆134032⊕∕(⇑⪆13401⊾⪯⋞⇑⪆32144)⫍⨯↯","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":908,"operation_count":8,"complexity_ratio":113.5,"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":1542,"base":5},"right_expr":{"type":"numeric_atoms","value":4426,"base":5}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4645,"base":5},"right_expr":{"type":"numeric_atoms","value":1065,"base":5}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":4897,"base":5},"right_expr":{"type":"numeric_atoms","value":5517,"base":5}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1101,"base":5},"right_expr":{"type":"numeric_atoms","value":2174,"base":5}}}}},"used_operators":["ZcwmYACASQ","13rbtpv6ld","s3Fd5m9Dh2","sdazOOVcIp","oraRL2iQuh","9cloC0Ngie","zashukvMKz","HK0tfVPux8"],"dependent_operators":["23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"⇑⪆-1014","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1542","layer":4},{"info":"number node, value=4426","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=4426, 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=-5666","layer":3},{"info":"number node, value=4645","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=4645, right_input=1065, 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=-5666, right_input=107, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-10904","layer":2},{"info":"number node, value=4897","layer":4},{"info":"number node, value=5517","layer":4},{"info":"compute binary expreesion, left_input=4897, right_input=5517, 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=1101","layer":4},{"info":"number node, value=2174","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=2174, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3922","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=3922, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-10904, right_input=-134, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆22132⪨≂⇑⪆120201)⊬⨰(⇑⪆122040⪡⇑⪆13230))↤⩊⇑⪆124042⫗⊷⫓⇑⪆134032⊕∕(⇑⪆13401⊾⪯⋞⇑⪆32144)⫍⨯↯=⇑⪆-1014","reverse_text":"⇑⪆-1014=((⇑⪆22132⪨≂⇑⪆120201)⊬⨰(⇑⪆122040⪡⇑⪆13230))↤⩊⇑⪆124042⫗⊷⫓⇑⪆134032⊕∕(⇑⪆13401⊾⪯⋞⇑⪆32144)⫍⨯↯","cot":[{"info":"⇑⪆22132⪨≂⇑⪆120201=⇑⪆-140131","layer":3},{"info":"⇑⪆122040⪡⇑⪆13230=⇑⪆412","layer":3},{"info":"⇑⪆-140131⊬⨰⇑⪆412=⇑⪆-322104","layer":2},{"info":"⇑⪆124042⫗⊷⫓⇑⪆134032=⇑⪆-1014","layer":3},{"info":"⇑⪆13401⊾⪯⋞⇑⪆32144=⇑⪆111142","layer":3},{"info":"⇑⪆-1014⊕∕⇑⪆111142=⇑⪆-1014","layer":2},{"info":"⇑⪆-322104↤⩊⇑⪆-1014=NaN","layer":1},{"info":"NaN⫍⨯↯=⇑⪆-1014","layer":0}]}
{"id":757,"expression_no_base_symbol":"((∡$1882$)⨳⩥⨓(⨛$1028$)⩟)⫰⋱((∂⩏⊆$1356$)⊪)⊝⪿⪼(($1540$⫑)⩚⊴⇥(∮$1610$))","expression":"((∡⇑⪆30012)⨳⩥⨓(⨛⇑⪆13103)⩟)⫰⋱((∂⩏⊆⇑⪆20411)⊪)⊝⪿⪼((⇑⪆22130⫑)⩚⊴⇥(∮⇑⪆22420))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13024,"operation_count":11,"complexity_ratio":1184.0,"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":1882,"base":5}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1028,"base":5}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1356,"base":5}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":1540,"base":5}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1610,"base":5}}}}},"used_operators":["6o9Blt3TJ6","fOIeswaMU4","nCS4ZIUYfx","pRsWfj4Fpp","CoMdbyAt7R","3Oe9XWJUTD","zVYPLywUTj","8WDwsbhb0R","NTOWxs364D","CgIo77xlM2","CqXKPLVYql"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","14qkJME0vr","eLAdDNolq6","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1882","layer":4},{"info":"compute unary expreesion, input=1882, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1882","layer":3},{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1882, 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 = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=nan","layer":1},{"info":"number node, value=1356","layer":4},{"info":"compute unary expreesion, input=1356, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-4147","layer":3},{"info":"compute unary expreesion, input=-4147, 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=172457564","layer":2},{"info":"number node, value=1540","layer":4},{"info":"compute unary expreesion, input=1540, 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=1610","layer":4},{"info":"compute unary expreesion, input=1610, 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=3979, right_input=67, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4167","layer":2},{"info":"compute binary expreesion, left_input=172457564, right_input=-4167, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=inf, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((∡⇑⪆30012)⨳⩥⨓(⨛⇑⪆13103)⩟)⫰⋱((∂⩏⊆⇑⪆20411)⊪)⊝⪿⪼((⇑⪆22130⫑)⩚⊴⇥(∮⇑⪆22420))=NaN","reverse_text":"NaN=((∡⇑⪆30012)⨳⩥⨓(⨛⇑⪆13103)⩟)⫰⋱((∂⩏⊆⇑⪆20411)⊪)⊝⪿⪼((⇑⪆22130⫑)⩚⊴⇥(∮⇑⪆22420))","cot":[{"info":"∡⇑⪆30012=⇑⪆-30012","layer":3},{"info":"⨛⇑⪆13103=NaN","layer":3},{"info":"⇑⪆-30012⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN⩟=NaN","layer":1},{"info":"∂⩏⊆⇑⪆20411=⇑⪆-113042","layer":3},{"info":"⇑⪆-113042⊪=⇑⪆323122120224","layer":2},{"info":"⇑⪆22130⫑=⇑⪆111404","layer":3},{"info":"∮⇑⪆22420=⇑⪆232","layer":3},{"info":"⇑⪆111404⩚⊴⇥⇑⪆232=⇑⪆-113132","layer":2},{"info":"⇑⪆323122120224⊝⪿⪼⇑⪆-113132=Inf","layer":1},{"info":"NaN⫰⋱Inf=NaN","layer":0}]}
{"id":758,"expression_no_base_symbol":"($3109$⪝$6490$↬$1011$↞⋁$1805$≀⩗∶(≤/$1447$)⋾⨃∁(⇉-⫰$5903$))⨐(⫯(($5192$↬$1935$)⊲⩕⊾$4923$⩍⋽⫝̸$1363$))","expression":"(⇑⪆44414⪝⇑⪆201430↬⇑⪆13021↞⋁⇑⪆24210≀⩗∶(≤/⇑⪆21242)⋾⨃∁(⇉-⫰⇑⪆142103))⨐(⫯((⇑⪆131232↬⇑⪆30220)⊲⩕⊾⇑⪆124143⩍⋽⫝̸⇑⪆20423))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":744,"operation_count":12,"complexity_ratio":62.0,"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":3109,"base":5},"right_expr":{"type":"numeric_atoms","value":6490,"base":5}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1011,"base":5},"right_expr":{"type":"numeric_atoms","value":1805,"base":5}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1447,"base":5}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":5903,"base":5}}}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5192,"base":5},"right_expr":{"type":"numeric_atoms","value":1935,"base":5}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4923,"base":5},"right_expr":{"type":"numeric_atoms","value":1363,"base":5}}}}},"used_operators":["Noe24qw2ks","8INZBEW696","B5M0gjZbta","wicAB68Tmb","RqrPlJkxDo","212REbPD9h","eLAdDNolq6","IGFM8TAlm9","H6BK1Evt7c","DmTXOeWf9t","BiWNJpBvwn"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","rGHVDoGpnC","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rysDP5nf3Z","eH2TOUuTDT","eewbuw0ToL","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","Ph9nP6C5qx","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3109","layer":4},{"info":"number node, value=6490","layer":4},{"info":"compute binary expreesion, left_input=3109, right_input=6490, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=1805","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=1805, 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=237, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1447","layer":4},{"info":"compute unary expreesion, input=1447, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-963","layer":3},{"info":"number node, value=5903","layer":4},{"info":"compute unary expreesion, input=5903, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=-963, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=3666, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":1},{"info":"number node, value=5192","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=5192, right_input=1935, 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=4923","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=4923, right_input=1363, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=417","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=417, 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 = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆44414⪝⇑⪆201430↬⇑⪆13021↞⋁⇑⪆24210≀⩗∶(≤/⇑⪆21242)⋾⨃∁(⇉-⫰⇑⪆142103))⨐(⫯((⇑⪆131232↬⇑⪆30220)⊲⩕⊾⇑⪆124143⩍⋽⫝̸⇑⪆20423))=NaN","reverse_text":"NaN=(⇑⪆44414⪝⇑⪆201430↬⇑⪆13021↞⋁⇑⪆24210≀⩗∶(≤/⇑⪆21242)⋾⨃∁(⇉-⫰⇑⪆142103))⨐(⫯((⇑⪆131232↬⇑⪆30220)⊲⩕⊾⇑⪆124143⩍⋽⫝̸⇑⪆20423))","cot":[{"info":"⇑⪆44414⪝⇑⪆201430=⇑⪆1422","layer":3},{"info":"⇑⪆13021↞⋁⇑⪆24210=NaN","layer":3},{"info":"⇑⪆1422↬NaN=NaN","layer":2},{"info":"≤/⇑⪆21242=⇑⪆-12323","layer":3},{"info":"⇉-⫰⇑⪆142103=⇑⪆40","layer":3},{"info":"⇑⪆-12323⋾⨃∁⇑⪆40=⇑⪆104131","layer":2},{"info":"NaN≀⩗∶⇑⪆104131=NaN","layer":1},{"info":"⇑⪆131232↬⇑⪆30220=NaN","layer":3},{"info":"⇑⪆124143⩍⋽⫝̸⇑⪆20423=⇑⪆3132","layer":3},{"info":"NaN⊲⩕⊾⇑⪆3132=NaN","layer":2},{"info":"⫯NaN=NaN","layer":1},{"info":"NaN⨐NaN=NaN","layer":0}]}
{"id":759,"expression_no_base_symbol":"(∤↝($5956$⊱⇼⊻$5227$⨑≵⋬($1519$⋻⩜⩜$3382$)))≌(($2236$⩭)↼⊘⨖($1982$⊔$3918$)↼⊘⨖(($1660$⊍)⪓⨏))","expression":"(∤↝(⇑⪆142311⊱⇼⊻⇑⪆131402⨑≵⋬(⇑⪆22034⋻⩜⩜⇑⪆102012)))≌((⇑⪆32421⩭)↼⊘⨖(⇑⪆30412⊔⇑⪆111133)↼⊘⨖((⇑⪆23120⊍)⪓⨏))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":78071,"operation_count":11,"complexity_ratio":7097.363636363636,"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":5956,"base":5},"right_expr":{"type":"numeric_atoms","value":5227,"base":5}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1519,"base":5},"right_expr":{"type":"numeric_atoms","value":3382,"base":5}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":2236,"base":5}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1982,"base":5},"right_expr":{"type":"numeric_atoms","value":3918,"base":5}}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":1660,"base":5}}}}},"used_operators":["lyWz822IDG","3UMq87Qwqg","XnXgA4xnOs","FyVja0WsTP","oDCm7WA9JY","bPywburJMS","yIPP7u6H5x","E4l6HwMY31","4X9JU4Jbn6","3nqY3DE9mg"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5956","layer":4},{"info":"number node, value=5227","layer":4},{"info":"compute binary expreesion, left_input=5956, right_input=5227, 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=1519","layer":4},{"info":"number node, value=3382","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=3382, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3038","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=3038, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-17717","layer":2},{"info":"compute unary expreesion, input=-17717, 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=-17717","layer":1},{"info":"number node, value=2236","layer":4},{"info":"compute unary expreesion, input=2236, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"number node, value=1982","layer":4},{"info":"number node, value=3918","layer":4},{"info":"compute binary expreesion, left_input=1982, right_input=3918, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=21154","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=21154, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=42086","layer":2},{"info":"number node, value=1660","layer":4},{"info":"compute unary expreesion, input=1660, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=3300","layer":3},{"info":"compute unary expreesion, input=3300, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=42086, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-17717, 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":5,"result_base":5,"text":"(∤↝(⇑⪆142311⊱⇼⊻⇑⪆131402⨑≵⋬(⇑⪆22034⋻⩜⩜⇑⪆102012)))≌((⇑⪆32421⩭)↼⊘⨖(⇑⪆30412⊔⇑⪆111133)↼⊘⨖((⇑⪆23120⊍)⪓⨏))=NaN","reverse_text":"NaN=(∤↝(⇑⪆142311⊱⇼⊻⇑⪆131402⨑≵⋬(⇑⪆22034⋻⩜⩜⇑⪆102012)))≌((⇑⪆32421⩭)↼⊘⨖(⇑⪆30412⊔⇑⪆111133)↼⊘⨖((⇑⪆23120⊍)⪓⨏))","cot":[{"info":"⇑⪆142311⊱⇼⊻⇑⪆131402=⇑⪆3214","layer":3},{"info":"⇑⪆22034⋻⩜⩜⇑⪆102012=⇑⪆44123","layer":3},{"info":"⇑⪆3214⨑≵⋬⇑⪆44123=⇑⪆-1031332","layer":2},{"info":"∤↝⇑⪆-1031332=⇑⪆-1031332","layer":1},{"info":"⇑⪆32421⩭=NaN","layer":3},{"info":"⇑⪆30412⊔⇑⪆111133=⇑⪆1134104","layer":3},{"info":"NaN↼⊘⨖⇑⪆1134104=⇑⪆2321321","layer":2},{"info":"⇑⪆23120⊍=⇑⪆101200","layer":3},{"info":"⇑⪆101200⪓⨏=NaN","layer":2},{"info":"⇑⪆2321321↼⊘⨖NaN=NaN","layer":1},{"info":"⇑⪆-1031332≌NaN=NaN","layer":0}]}
{"id":760,"expression_no_base_symbol":"(⨭⩧⫛(($3396$↺$1562$)≹⇙⪍($1411$⇄$1564$)))∛≔","expression":"(⨭⩧⫛((⇑⪆102041↺⇑⪆22222)≹⇙⪍(⇑⪆21121⇄⇑⪆22224)))∛≔","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":202,"operation_count":5,"complexity_ratio":40.4,"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":3396,"base":5},"right_expr":{"type":"numeric_atoms","value":1562,"base":5}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1411,"base":5},"right_expr":{"type":"numeric_atoms","value":1564,"base":5}}}}},"used_operators":["mGnSCrte3L","g21JL6JxX7","AHs5Up7iyr","7j4O788W3g","3EYGwJThht"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=3396","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=3396, right_input=1562, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1562","layer":3},{"info":"number node, value=1411","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=1411, right_input=1564, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1562, 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=1562","layer":2},{"info":"compute unary expreesion, input=1562, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', 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":5,"result_base":5,"text":"(⨭⩧⫛((⇑⪆102041↺⇑⪆22222)≹⇙⪍(⇑⪆21121⇄⇑⪆22224)))∛≔=NaN","reverse_text":"NaN=(⨭⩧⫛((⇑⪆102041↺⇑⪆22222)≹⇙⪍(⇑⪆21121⇄⇑⪆22224)))∛≔","cot":[{"info":"⇑⪆102041↺⇑⪆22222=⇑⪆22222","layer":3},{"info":"⇑⪆21121⇄⇑⪆22224=⇑⪆0","layer":3},{"info":"⇑⪆22222≹⇙⪍⇑⪆0=⇑⪆22222","layer":2},{"info":"⨭⩧⫛⇑⪆22222=NaN","layer":1},{"info":"NaN∛≔=NaN","layer":0}]}
{"id":761,"expression_no_base_symbol":"(⩒∊((⋣$1666$)⇮⋭$2183$⋳⪒$3282$))⩘(($1985$⫔⩽⩺$2386$)⩼⇪↪($3819$⊋≦⊧$2495$)/($1258$≓∲$2746$)⪛⫼($3297$⋻⩜⩜$5530$))","expression":"(⩒∊((⋣⇑⪆23131)⇮⋭⇑⪆32213⋳⪒⇑⪆101112))⩘((⇑⪆30420⫔⩽⩺⇑⪆34021)⩼⇪↪(⇑⪆110234⊋≦⊧⇑⪆34440)/(⇑⪆20013≓∲⇑⪆41441)⪛⫼(⇑⪆101142⋻⩜⩜⇑⪆134110))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":80063,"operation_count":12,"complexity_ratio":6671.916666666667,"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":1666,"base":5}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2183,"base":5},"right_expr":{"type":"numeric_atoms","value":3282,"base":5}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1985,"base":5},"right_expr":{"type":"numeric_atoms","value":2386,"base":5}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3819,"base":5},"right_expr":{"type":"numeric_atoms","value":2495,"base":5}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1258,"base":5},"right_expr":{"type":"numeric_atoms","value":2746,"base":5}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3297,"base":5},"right_expr":{"type":"numeric_atoms","value":5530,"base":5}}}}},"used_operators":["cHh1gJQ2o6","qazvmhNBbN","vkpjKywKVM","zQWRhDnn8F","12rbrZMWeM","XhwjNDsVaA","ocnLzx9CaJ","i9eR4S00cU","oRDoc9rAEX","hyuBjUqXlG","s1XTVnmDOJ","oDCm7WA9JY"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Tw270M8GLb","fu6greOZ01","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⇑⪆1120","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1666","layer":4},{"info":"compute unary expreesion, input=1666, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-489709","layer":3},{"info":"number node, value=2183","layer":4},{"info":"number node, value=3282","layer":4},{"info":"compute binary expreesion, left_input=2183, right_input=3282, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=797","layer":3},{"info":"compute binary expreesion, left_input=-489709, right_input=797, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-623","layer":1},{"info":"number node, value=1985","layer":4},{"info":"number node, value=2386","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=2386, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=3819","layer":4},{"info":"number node, value=2495","layer":4},{"info":"compute binary expreesion, left_input=3819, right_input=2495, 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=-4750","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4750, 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=1258","layer":4},{"info":"number node, value=2746","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=2746, 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=13363","layer":3},{"info":"number node, value=3297","layer":4},{"info":"number node, value=5530","layer":4},{"info":"compute binary expreesion, left_input=3297, right_input=5530, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=6594","layer":3},{"info":"compute binary expreesion, left_input=13363, right_input=6594, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-623, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":5,"result_base":5,"text":"(⩒∊((⋣⇑⪆23131)⇮⋭⇑⪆32213⋳⪒⇑⪆101112))⩘((⇑⪆30420⫔⩽⩺⇑⪆34021)⩼⇪↪(⇑⪆110234⊋≦⊧⇑⪆34440)/(⇑⪆20013≓∲⇑⪆41441)⪛⫼(⇑⪆101142⋻⩜⩜⇑⪆134110))=⇑⪆1120","reverse_text":"⇑⪆1120=(⩒∊((⋣⇑⪆23131)⇮⋭⇑⪆32213⋳⪒⇑⪆101112))⩘((⇑⪆30420⫔⩽⩺⇑⪆34021)⩼⇪↪(⇑⪆110234⊋≦⊧⇑⪆34440)/(⇑⪆20013≓∲⇑⪆41441)⪛⫼(⇑⪆101142⋻⩜⩜⇑⪆134110))","cot":[{"info":"⋣⇑⪆23131=⇑⪆-111132314","layer":3},{"info":"⇑⪆32213⋳⪒⇑⪆101112=⇑⪆11142","layer":3},{"info":"⇑⪆-111132314⇮⋭⇑⪆11142=⇑⪆232","layer":2},{"info":"⩒∊⇑⪆232=⇑⪆-4443","layer":1},{"info":"⇑⪆30420⫔⩽⩺⇑⪆34021=NaN","layer":3},{"info":"⇑⪆110234⊋≦⊧⇑⪆34440=⇑⪆-123000","layer":3},{"info":"NaN⩼⇪↪⇑⪆-123000=NaN","layer":2},{"info":"⇑⪆20013≓∲⇑⪆41441=⇑⪆411423","layer":3},{"info":"⇑⪆101142⋻⩜⩜⇑⪆134110=⇑⪆202334","layer":3},{"info":"⇑⪆411423⪛⫼⇑⪆202334=⇑⪆12333","layer":2},{"info":"NaN/⇑⪆12333=NaN","layer":1},{"info":"⇑⪆-4443⩘NaN=⇑⪆1120","layer":0}]}
{"id":762,"expression_no_base_symbol":"((($8563$⪨≂$4291$)∛≔)⫍⨯↯)≧⫂∧(($5509$∖$1241$)⩘($3958$⋐⇩⊬)⨭⪣($1935$⊲⩕⊾$1220$)⫘($3736$≒∊$1183$))","expression":"(((⇑⪆233223⪨≂⇑⪆114131)∛≔)⫍⨯↯)≧⫂∧((⇑⪆134014∖⇑⪆14431)⩘(⇑⪆111313⋐⇩⊬)⨭⪣(⇑⪆30220⊲⩕⊾⇑⪆14340)⫘(⇑⪆104421≒∊⇑⪆14213))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":110092,"operation_count":11,"complexity_ratio":10008.363636363636,"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":8563,"base":5},"right_expr":{"type":"numeric_atoms","value":4291,"base":5}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":5509,"base":5},"right_expr":{"type":"numeric_atoms","value":1241,"base":5}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":3958,"base":5}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1935,"base":5},"right_expr":{"type":"numeric_atoms","value":1220,"base":5}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3736,"base":5},"right_expr":{"type":"numeric_atoms","value":1183,"base":5}}}}},"used_operators":["Ph9nP6C5qx","ZcwmYACASQ","mGnSCrte3L","sdazOOVcIp","kn8WO9XteQ","cHh1gJQ2o6","tXD093vOjl","JuuLT1NoCs","48vC8HMD2b","DmTXOeWf9t","5KTvxBwnZo"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","rysDP5nf3Z","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"⇑⪆2343","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8563","layer":4},{"info":"number node, value=4291","layer":4},{"info":"compute binary expreesion, left_input=8563, right_input=4291, 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=8646","layer":3},{"info":"compute unary expreesion, input=8646, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":1},{"info":"number node, value=5509","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=5509, right_input=1241, 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=3958","layer":4},{"info":"compute unary expreesion, input=3958, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=3958","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3958, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=1935","layer":4},{"info":"number node, value=1220","layer":4},{"info":"compute binary expreesion, left_input=1935, right_input=1220, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-39790","layer":3},{"info":"number node, value=3736","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=3736, right_input=1183, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3252","layer":3},{"info":"compute binary expreesion, left_input=-39790, right_input=-3252, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=175463639","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=175463639, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-482","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-482, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=348","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆233223⪨≂⇑⪆114131)∛≔)⫍⨯↯)≧⫂∧((⇑⪆134014∖⇑⪆14431)⩘(⇑⪆111313⋐⇩⊬)⨭⪣(⇑⪆30220⊲⩕⊾⇑⪆14340)⫘(⇑⪆104421≒∊⇑⪆14213))=⇑⪆2343","reverse_text":"⇑⪆2343=(((⇑⪆233223⪨≂⇑⪆114131)∛≔)⫍⨯↯)≧⫂∧((⇑⪆134014∖⇑⪆14431)⩘(⇑⪆111313⋐⇩⊬)⨭⪣(⇑⪆30220⊲⩕⊾⇑⪆14340)⫘(⇑⪆104421≒∊⇑⪆14213))","cot":[{"info":"⇑⪆233223⪨≂⇑⪆114131=⇑⪆234041","layer":3},{"info":"⇑⪆234041∛≔=NaN","layer":2},{"info":"NaN⫍⨯↯=⇑⪆-1014","layer":1},{"info":"⇑⪆134014∖⇑⪆14431=⇑⪆0","layer":3},{"info":"⇑⪆111313⋐⇩⊬=⇑⪆111313","layer":3},{"info":"⇑⪆0⩘⇑⪆111313=⇑⪆1120","layer":2},{"info":"⇑⪆30220⊲⩕⊾⇑⪆14340=⇑⪆-2233130","layer":3},{"info":"⇑⪆104421≒∊⇑⪆14213=⇑⪆-101002","layer":3},{"info":"⇑⪆-2233130⫘⇑⪆-101002=⇑⪆324404314024","layer":2},{"info":"⇑⪆1120⨭⪣⇑⪆324404314024=⇑⪆-3412","layer":1},{"info":"⇑⪆-1014≧⫂∧⇑⪆-3412=⇑⪆2343","layer":0}]}
{"id":763,"expression_no_base_symbol":"((↥(⋼∭⪍$4145$))⊾⪯⋞($1240$≳⇉$3862$)∘($5988$⋓$1392$))≎⪠(($5449$⪭$1369$)⪟⇏(↯⪼$3747$)⊉↱≁(⨑⩽⪐$1157$≌$1194$))","expression":"((↥(⋼∭⪍⇑⪆113040))⊾⪯⋞(⇑⪆14430≳⇉⇑⪆110422)∘(⇑⪆142423⋓⇑⪆21032))≎⪠((⇑⪆133244⪭⇑⪆20434)⪟⇏(↯⪼⇑⪆104442)⊉↱≁(⨑⩽⪐⇑⪆14112≌⇑⪆14234))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":232728573,"operation_count":13,"complexity_ratio":17902197.923076924,"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":4145,"base":5}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1240,"base":5},"right_expr":{"type":"numeric_atoms","value":3862,"base":5}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5988,"base":5},"right_expr":{"type":"numeric_atoms","value":1392,"base":5}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":5449,"base":5},"right_expr":{"type":"numeric_atoms","value":1369,"base":5}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3747,"base":5}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1157,"base":5},"right_expr":{"type":"numeric_atoms","value":1194,"base":5}}}}},"used_operators":["aNhz54LH3e","HK0tfVPux8","A8NUZmVepG","DbCuESL50I","Z5m6OM72h2","V0kx6qeWkN","T2fj7uvVaJ","w2P8NbNXyL","GODebY97qR","j9kHMeSvPp","8jW3W4yZS5","AF7qkfDlqP","lyWz822IDG"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","k8jYdgA6NY","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","eH2TOUuTDT","rysDP5nf3Z","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","COABgblf1C","xUOZtlo3hN","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"⇑⪆1111213","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4145","layer":4},{"info":"compute unary expreesion, input=4145, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-14840","layer":3},{"info":"compute unary expreesion, input=-14840, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=1","layer":2},{"info":"number node, value=1240","layer":4},{"info":"number node, value=3862","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=3862, 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=5988","layer":4},{"info":"number node, value=1392","layer":4},{"info":"compute binary expreesion, left_input=5988, right_input=1392, 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 = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1, 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=5449","layer":4},{"info":"number node, value=1369","layer":4},{"info":"compute binary expreesion, left_input=5449, right_input=1369, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=3747","layer":4},{"info":"compute unary expreesion, input=3747, 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=5, right_input=-21, 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=1157","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=1157, right_input=1194, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', 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":5,"result_base":5,"text":"((↥(⋼∭⪍⇑⪆113040))⊾⪯⋞(⇑⪆14430≳⇉⇑⪆110422)∘(⇑⪆142423⋓⇑⪆21032))≎⪠((⇑⪆133244⪭⇑⪆20434)⪟⇏(↯⪼⇑⪆104442)⊉↱≁(⨑⩽⪐⇑⪆14112≌⇑⪆14234))=⇑⪆1111213","reverse_text":"⇑⪆1111213=((↥(⋼∭⪍⇑⪆113040))⊾⪯⋞(⇑⪆14430≳⇉⇑⪆110422)∘(⇑⪆142423⋓⇑⪆21032))≎⪠((⇑⪆133244⪭⇑⪆20434)⪟⇏(↯⪼⇑⪆104442)⊉↱≁(⨑⩽⪐⇑⪆14112≌⇑⪆14234))","cot":[{"info":"⋼∭⪍⇑⪆113040=⇑⪆-433330","layer":3},{"info":"↥⇑⪆-433330=⇑⪆1","layer":2},{"info":"⇑⪆14430≳⇉⇑⪆110422=NaN","layer":3},{"info":"⇑⪆142423⋓⇑⪆21032=⇑⪆0","layer":3},{"info":"NaN∘⇑⪆0=NaN","layer":2},{"info":"⇑⪆1⊾⪯⋞NaN=NaN","layer":1},{"info":"⇑⪆133244⪭⇑⪆20434=⇑⪆10","layer":3},{"info":"↯⪼⇑⪆104442=⇑⪆-41","layer":3},{"info":"⇑⪆10⪟⇏⇑⪆-41=⇑⪆0","layer":2},{"info":"⇑⪆14112≌⇑⪆14234=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⇑⪆0⊉↱≁NaN=NaN","layer":1},{"info":"NaN≎⪠NaN=⇑⪆1111213","layer":0}]}
{"id":764,"expression_no_base_symbol":"((⊿$2668$⨸$4768$)⫰⋱($1045$⇽⩪)⩷∴$1004$≴⪞⇿$1076$)⪡(⨵≀≌($1301$⫰⋱$1487$⫚↹⊑$3877$⪡$7451$))","expression":"((⊿⇑⪆41133⨸⇑⪆123033)⫰⋱(⇑⪆13140⇽⩪)⩷∴⇑⪆13004≴⪞⇿⇑⪆13301)⪡(⨵≀≌(⇑⪆20201⫰⋱⇑⪆21422⫚↹⊑⇑⪆111002⪡⇑⪆214301))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4104,"operation_count":11,"complexity_ratio":373.09090909090907,"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":2668,"base":5},"right_expr":{"type":"numeric_atoms","value":4768,"base":5}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":1045,"base":5}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1004,"base":5},"right_expr":{"type":"numeric_atoms","value":1076,"base":5}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1301,"base":5},"right_expr":{"type":"numeric_atoms","value":1487,"base":5}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3877,"base":5},"right_expr":{"type":"numeric_atoms","value":7451,"base":5}}}}},"used_operators":["oraRL2iQuh","6o9Blt3TJ6","DO4fhlbJSI","KmoU8R5UQR","9FxExcQeMw","FonBHBYJbU","lvlrscuwVU","srAu1WTS94","dfKe02y8D2"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"⇑⪆412","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2668","layer":4},{"info":"number node, value=4768","layer":4},{"info":"compute binary expreesion, left_input=2668, right_input=4768, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=5336","layer":3},{"info":"compute unary expreesion, input=5336, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-22082","layer":2},{"info":"number node, value=1045","layer":4},{"info":"compute unary expreesion, input=1045, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=2612","layer":3},{"info":"number node, value=1004","layer":4},{"info":"number node, value=1076","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=1076, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1068956","layer":3},{"info":"compute binary expreesion, left_input=2612, right_input=1068956, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2132720","layer":2},{"info":"compute binary expreesion, left_input=-22082, right_input=-2132720, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=2154869","layer":1},{"info":"number node, value=1301","layer":4},{"info":"number node, value=1487","layer":4},{"info":"compute binary expreesion, left_input=1301, right_input=1487, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1268","layer":3},{"info":"number node, value=3877","layer":4},{"info":"number node, value=7451","layer":4},{"info":"compute binary expreesion, left_input=3877, right_input=7451, 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=-1268, right_input=107, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=199809","layer":1},{"info":"compute binary expreesion, left_input=2154869, right_input=199809, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":0}],"base":5,"result_base":5,"text":"((⊿⇑⪆41133⨸⇑⪆123033)⫰⋱(⇑⪆13140⇽⩪)⩷∴⇑⪆13004≴⪞⇿⇑⪆13301)⪡(⨵≀≌(⇑⪆20201⫰⋱⇑⪆21422⫚↹⊑⇑⪆111002⪡⇑⪆214301))=⇑⪆412","reverse_text":"⇑⪆412=((⊿⇑⪆41133⨸⇑⪆123033)⫰⋱(⇑⪆13140⇽⩪)⩷∴⇑⪆13004≴⪞⇿⇑⪆13301)⪡(⨵≀≌(⇑⪆20201⫰⋱⇑⪆21422⫚↹⊑⇑⪆111002⪡⇑⪆214301))","cot":[{"info":"⇑⪆41133⨸⇑⪆123033=⇑⪆132321","layer":3},{"info":"⊿⇑⪆132321=⇑⪆-1201312","layer":2},{"info":"⇑⪆13140⇽⩪=⇑⪆40422","layer":3},{"info":"⇑⪆13004≴⪞⇿⇑⪆13301=⇑⪆233201311","layer":3},{"info":"⇑⪆40422⩷∴⇑⪆233201311=⇑⪆-1021221340","layer":2},{"info":"⇑⪆-1201312⫰⋱⇑⪆-1021221340=⇑⪆1022423434","layer":1},{"info":"⇑⪆20201⫰⋱⇑⪆21422=⇑⪆-20033","layer":3},{"info":"⇑⪆111002⪡⇑⪆214301=⇑⪆412","layer":3},{"info":"⇑⪆-20033⫚↹⊑⇑⪆412=⇑⪆-3242","layer":2},{"info":"⨵≀≌⇑⪆-3242=⇑⪆22343214","layer":1},{"info":"⇑⪆1022423434⪡⇑⪆22343214=⇑⪆412","layer":0}]}
{"id":765,"expression_no_base_symbol":"⋃((⨈⫕(⊊≼∋$1795$))∪⫐($1733$↰)≥⨤⩑$3961$⪒⊣⊆$1094$)","expression":"⋃((⨈⫕(⊊≼∋⇑⪆24140))∪⫐(⇑⪆23413↰)≥⨤⩑⇑⪆111321⪒⊣⊆⇑⪆13334)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2229,"operation_count":7,"complexity_ratio":318.42857142857144,"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":1795,"base":5}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":1733,"base":5}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3961,"base":5},"right_expr":{"type":"numeric_atoms","value":1094,"base":5}}}}},"used_operators":["3mBM5G4a3l","7YooWSwCyH","megm06wKyl","FWz7pXsQhA","gJLn6v0xnP","bl5wxAcryP","eRqsBgTDFp"],"dependent_operators":["g55IO6H4Gj","rJVOvQCfKK","2DDjHMKMc0","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","B5M0gjZbta","jCPkEVoL5K","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","nCS4ZIUYfx","Z2TMIBDE3Q","sdazOOVcIp","W4YGzv6Whe"],"result":"⇑⪆220","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=1795","layer":4},{"info":"compute unary expreesion, input=1795, 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 = 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=1733","layer":4},{"info":"compute unary expreesion, input=1733, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=1632","layer":3},{"info":"number node, value=3961","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=3961, right_input=1094, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=7922","layer":3},{"info":"compute binary expreesion, left_input=1632, right_input=7922, 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=-21, right_input=1234, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=60","layer":0}],"base":5,"result_base":5,"text":"⋃((⨈⫕(⊊≼∋⇑⪆24140))∪⫐(⇑⪆23413↰)≥⨤⩑⇑⪆111321⪒⊣⊆⇑⪆13334)=⇑⪆220","reverse_text":"⇑⪆220=⋃((⨈⫕(⊊≼∋⇑⪆24140))∪⫐(⇑⪆23413↰)≥⨤⩑⇑⪆111321⪒⊣⊆⇑⪆13334)","cot":[{"info":"⊊≼∋⇑⪆24140=⇑⪆-3242","layer":3},{"info":"⨈⫕⇑⪆-3242=⇑⪆-41","layer":2},{"info":"⇑⪆23413↰=⇑⪆23012","layer":3},{"info":"⇑⪆111321⪒⊣⊆⇑⪆13334=⇑⪆223142","layer":3},{"info":"⇑⪆23012≥⨤⩑⇑⪆223142=⇑⪆14414","layer":2},{"info":"⇑⪆-41∪⫐⇑⪆14414=⇑⪆-41","layer":1},{"info":"⋃⇑⪆-41=⇑⪆220","layer":0}]}
{"id":766,"expression_no_base_symbol":"(($1742$⪭$1670$⪄($1099$⇽⩪))⩍⋽⫝̸($1205$⇻⋧≁$5786$∁))≎⪠(≱⇩⩕(⫯$1147$)⪎↠(⨙⪌$5578$))","expression":"((⇑⪆23432⪭⇑⪆23140⪄(⇑⪆13344⇽⩪))⩍⋽⫝̸(⇑⪆14310⇻⋧≁⇑⪆141121∁))≎⪠(≱⇩⩕(⫯⇑⪆14042)⪎↠(⨙⪌⇑⪆134303))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21386,"operation_count":11,"complexity_ratio":1944.1818181818182,"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":1742,"base":5},"right_expr":{"type":"numeric_atoms","value":1670,"base":5}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":1099,"base":5}}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1205,"base":5},"right_expr":{"type":"numeric_atoms","value":5786,"base":5}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1147,"base":5}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":5578,"base":5}}}}},"used_operators":["aNhz54LH3e","BiWNJpBvwn","SUmda5xLS4","j9kHMeSvPp","FonBHBYJbU","jdwGQqwJi5","jCPkEVoL5K","3DZMoQKiUl","3tVxb0NHM4","H6BK1Evt7c","vEGLkm4Z2k"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","Ph9nP6C5qx","xUOZtlo3hN","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","2DDjHMKMc0","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X"],"result":"⇑⪆1111213","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1742","layer":4},{"info":"number node, value=1670","layer":4},{"info":"compute binary expreesion, left_input=1742, right_input=1670, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1099","layer":4},{"info":"compute unary expreesion, input=1099, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=2720","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=2720, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-7709","layer":2},{"info":"number node, value=1205","layer":4},{"info":"number node, value=5786","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=5786, 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 = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-7709, right_input=-447, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=6580","layer":1},{"info":"number node, value=1147","layer":4},{"info":"compute unary expreesion, input=1147, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-33386","layer":3},{"info":"number node, value=5578","layer":4},{"info":"compute unary expreesion, input=5578, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-33386, right_input=868, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":2},{"info":"compute unary expreesion, input=-55, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=6580, right_input=113, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆23432⪭⇑⪆23140⪄(⇑⪆13344⇽⩪))⩍⋽⫝̸(⇑⪆14310⇻⋧≁⇑⪆141121∁))≎⪠(≱⇩⩕(⫯⇑⪆14042)⪎↠(⨙⪌⇑⪆134303))=⇑⪆1111213","reverse_text":"⇑⪆1111213=((⇑⪆23432⪭⇑⪆23140⪄(⇑⪆13344⇽⩪))⩍⋽⫝̸(⇑⪆14310⇻⋧≁⇑⪆141121∁))≎⪠(≱⇩⩕(⫯⇑⪆14042)⪎↠(⨙⪌⇑⪆134303))","cot":[{"info":"⇑⪆23432⪭⇑⪆23140=⇑⪆10","layer":3},{"info":"⇑⪆13344⇽⩪=⇑⪆41340","layer":3},{"info":"⇑⪆10⪄⇑⪆41340=⇑⪆-221314","layer":2},{"info":"⇑⪆14310⇻⋧≁⇑⪆141121=⇑⪆-3242","layer":3},{"info":"⇑⪆-3242∁=⇑⪆-3242","layer":2},{"info":"⇑⪆-221314⩍⋽⫝̸⇑⪆-3242=⇑⪆202310","layer":1},{"info":"⫯⇑⪆14042=⇑⪆-2032021","layer":3},{"info":"⨙⪌⇑⪆134303=⇑⪆11433","layer":3},{"info":"⇑⪆-2032021⪎↠⇑⪆11433=⇑⪆-210","layer":2},{"info":"≱⇩⩕⇑⪆-210=⇑⪆423","layer":1},{"info":"⇑⪆202310≎⪠⇑⪆423=⇑⪆1111213","layer":0}]}
{"id":767,"expression_no_base_symbol":"($2113$⋻⩜⩜$4332$)≹⇙⪍($5815$↡⊰⫅$2325$)⊋(⪹($1427$⨔≚≋$2164$))⊨(≇⪴($3868$≓∲$2296$↛⩡⫤))","expression":"(⇑⪆31423⋻⩜⩜⇑⪆114312)≹⇙⪍(⇑⪆141230↡⊰⫅⇑⪆33300)⊋(⪹(⇑⪆21202⨔≚≋⇑⪆32124))⊨(≇⪴(⇑⪆110433≓∲⇑⪆33141↛⩡⫤))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":211940,"operation_count":10,"complexity_ratio":21194.0,"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":2113,"base":5},"right_expr":{"type":"numeric_atoms","value":4332,"base":5}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":5815,"base":5},"right_expr":{"type":"numeric_atoms","value":2325,"base":5}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1427,"base":5},"right_expr":{"type":"numeric_atoms","value":2164,"base":5}}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3868,"base":5},"right_expr":{"type":"numeric_atoms","value":2296,"base":5}}}}},"used_operators":["vg4gO5BX6G","W4tP9CfskL","AHs5Up7iyr","oDCm7WA9JY","VCtxkLNOzz","USyYr0JgAa","Z57zeUYC9z","zoVPnxeHJ3","FU0Cs4j7VP","s1XTVnmDOJ"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","dWAJyo7jo9","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","tifHPKVTfV","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"⇑⪆-1144","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2113","layer":4},{"info":"number node, value=4332","layer":4},{"info":"compute binary expreesion, left_input=2113, right_input=4332, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4226","layer":3},{"info":"number node, value=5815","layer":4},{"info":"number node, value=2325","layer":4},{"info":"compute binary expreesion, left_input=5815, right_input=2325, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4650","layer":3},{"info":"compute binary expreesion, left_input=4226, right_input=4650, 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=1427","layer":4},{"info":"number node, value=2164","layer":4},{"info":"compute binary expreesion, left_input=1427, right_input=2164, 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 = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-9692","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9692, 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=-199294","layer":1},{"info":"number node, value=3868","layer":4},{"info":"number node, value=2296","layer":4},{"info":"compute binary expreesion, left_input=3868, right_input=2296, 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=39463","layer":3},{"info":"compute unary expreesion, input=39463, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-5955002","layer":2},{"info":"compute unary expreesion, input=-5955002, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-23820008","layer":1},{"info":"compute binary expreesion, left_input=-199294, right_input=-23820008, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆31423⋻⩜⩜⇑⪆114312)≹⇙⪍(⇑⪆141230↡⊰⫅⇑⪆33300)⊋(⪹(⇑⪆21202⨔≚≋⇑⪆32124))⊨(≇⪴(⇑⪆110433≓∲⇑⪆33141↛⩡⫤))=⇑⪆-1144","reverse_text":"⇑⪆-1144=(⇑⪆31423⋻⩜⩜⇑⪆114312)≹⇙⪍(⇑⪆141230↡⊰⫅⇑⪆33300)⊋(⪹(⇑⪆21202⨔≚≋⇑⪆32124))⊨(≇⪴(⇑⪆110433≓∲⇑⪆33141↛⩡⫤))","cot":[{"info":"⇑⪆31423⋻⩜⩜⇑⪆114312=⇑⪆113401","layer":3},{"info":"⇑⪆141230↡⊰⫅⇑⪆33300=⇑⪆122100","layer":3},{"info":"⇑⪆113401≹⇙⪍⇑⪆122100=NaN","layer":2},{"info":"⇑⪆21202⨔≚≋⇑⪆32124=⇑⪆303442","layer":3},{"info":"⪹⇑⪆303442=⇑⪆-302232","layer":2},{"info":"NaN⊋⇑⪆-302232=⇑⪆-22334134","layer":1},{"info":"⇑⪆110433≓∲⇑⪆33141=⇑⪆2230323","layer":3},{"info":"⇑⪆2230323↛⩡⫤=⇑⪆-3011030002","layer":2},{"info":"≇⪴⇑⪆-3011030002=⇑⪆-22044220013","layer":1},{"info":"⇑⪆-22334134⊨⇑⪆-22044220013=⇑⪆-1144","layer":0}]}
{"id":768,"expression_no_base_symbol":"⋂((⨩∲⋌$3001$)∀⇚≩$3212$⊉↱≁$6472$⇀∌)","expression":"⋂((⨩∲⋌⇑⪆44001)∀⇚≩⇑⪆100322⊉↱≁⇑⪆201342⇀∌)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":24766,"operation_count":5,"complexity_ratio":4953.2,"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":3001,"base":5}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3212,"base":5},"right_expr":{"type":"numeric_atoms","value":6472,"base":5}}}}},"used_operators":["BUOGQAYlQx","2k53nXOpI5","LRNGc0VcxI","aSik1wnThz","w2P8NbNXyL"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","X99M06cbEe","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3001","layer":4},{"info":"compute unary expreesion, input=3001, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-3524","layer":3},{"info":"number node, value=3212","layer":4},{"info":"number node, value=6472","layer":4},{"info":"compute binary expreesion, left_input=3212, right_input=6472, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-7826","layer":3},{"info":"compute binary expreesion, left_input=-3524, right_input=-7826, 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 = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((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":5,"result_base":5,"text":"⋂((⨩∲⋌⇑⪆44001)∀⇚≩⇑⪆100322⊉↱≁⇑⪆201342⇀∌)=NaN","reverse_text":"NaN=⋂((⨩∲⋌⇑⪆44001)∀⇚≩⇑⪆100322⊉↱≁⇑⪆201342⇀∌)","cot":[{"info":"⨩∲⋌⇑⪆44001=⇑⪆-103044","layer":3},{"info":"⇑⪆100322⊉↱≁⇑⪆201342=⇑⪆-222301","layer":3},{"info":"⇑⪆-103044∀⇚≩⇑⪆-222301=NaN","layer":2},{"info":"NaN⇀∌=NaN","layer":1},{"info":"⋂NaN=NaN","layer":0}]}
{"id":769,"expression_no_base_symbol":"((⇨$4173$)≴⪞⇿($1538$⫩⊇)⇄(⩦⩻⨪(↴⪽⋼$1178$)))⊬⨰(($8372$∘$2142$)≎⪠($1989$↓⨍⋜)⪭(($5046$⊾⪯⋞$8569$)⇩))","expression":"((⇨⇑⪆113143)≴⪞⇿(⇑⪆22123⫩⊇)⇄(⩦⩻⨪(↴⪽⋼⇑⪆14203)))⊬⨰((⇑⪆231442∘⇑⪆32032)≎⪠(⇑⪆30424↓⨍⋜)⪭((⇑⪆130141⊾⪯⋞⇑⪆233234)⇩))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":19493,"operation_count":13,"complexity_ratio":1499.4615384615386,"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":4173,"base":5}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1538,"base":5}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":1178,"base":5}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":8372,"base":5},"right_expr":{"type":"numeric_atoms","value":2142,"base":5}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":1989,"base":5}}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":5046,"base":5},"right_expr":{"type":"numeric_atoms","value":8569,"base":5}}}}},"used_operators":["s3Fd5m9Dh2","3EYGwJThht","lvlrscuwVU","G9tJMlZ94a","BjRHVeLaeN","2td37pGCOC","5TUYCnJO6w","j9kHMeSvPp","aNhz54LH3e","Z5m6OM72h2","3DVzLFNsE9","vRio1gEz1j","HK0tfVPux8"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","COABgblf1C","xUOZtlo3hN","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eH2TOUuTDT","rysDP5nf3Z","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","W4YGzv6Whe","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"⇑⪆-20433","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4173","layer":4},{"info":"compute unary expreesion, input=4173, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=1538","layer":4},{"info":"compute unary expreesion, input=1538, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1496","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1496, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-22155","layer":2},{"info":"number node, value=1178","layer":4},{"info":"compute unary expreesion, input=1178, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1178","layer":3},{"info":"compute unary expreesion, input=1178, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1178","layer":2},{"info":"compute binary expreesion, left_input=-22155, right_input=1178, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-694","layer":1},{"info":"number node, value=8372","layer":4},{"info":"number node, value=2142","layer":4},{"info":"compute binary expreesion, left_input=8372, right_input=2142, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=16744","layer":3},{"info":"number node, value=1989","layer":4},{"info":"compute unary expreesion, input=1989, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute binary expreesion, left_input=16744, right_input=6590, 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=5046","layer":4},{"info":"number node, value=8569","layer":4},{"info":"compute binary expreesion, left_input=5046, right_input=8569, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=16712","layer":3},{"info":"compute unary expreesion, input=16712, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=16805","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=16805, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"compute binary expreesion, left_input=-694, right_input=5, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-1368","layer":0}],"base":5,"result_base":5,"text":"((⇨⇑⪆113143)≴⪞⇿(⇑⪆22123⫩⊇)⇄(⩦⩻⨪(↴⪽⋼⇑⪆14203)))⊬⨰((⇑⪆231442∘⇑⪆32032)≎⪠(⇑⪆30424↓⨍⋜)⪭((⇑⪆130141⊾⪯⋞⇑⪆233234)⇩))=⇑⪆-20433","reverse_text":"⇑⪆-20433=((⇨⇑⪆113143)≴⪞⇿(⇑⪆22123⫩⊇)⇄(⩦⩻⨪(↴⪽⋼⇑⪆14203)))⊬⨰((⇑⪆231442∘⇑⪆32032)≎⪠(⇑⪆30424↓⨍⋜)⪭((⇑⪆130141⊾⪯⋞⇑⪆233234)⇩))","cot":[{"info":"⇨⇑⪆113143=⇑⪆0","layer":3},{"info":"⇑⪆22123⫩⊇=⇑⪆-21441","layer":3},{"info":"⇑⪆0≴⪞⇿⇑⪆-21441=⇑⪆-1202110","layer":2},{"info":"↴⪽⋼⇑⪆14203=⇑⪆14203","layer":3},{"info":"⩦⩻⨪⇑⪆14203=⇑⪆14203","layer":2},{"info":"⇑⪆-1202110⇄⇑⪆14203=⇑⪆-10234","layer":1},{"info":"⇑⪆231442∘⇑⪆32032=⇑⪆1013434","layer":3},{"info":"⇑⪆30424↓⨍⋜=⇑⪆202330","layer":3},{"info":"⇑⪆1013434≎⪠⇑⪆202330=⇑⪆1111213","layer":2},{"info":"⇑⪆130141⊾⪯⋞⇑⪆233234=⇑⪆1013322","layer":3},{"info":"⇑⪆1013322⇩=⇑⪆1014210","layer":2},{"info":"⇑⪆1111213⪭⇑⪆1014210=⇑⪆10","layer":1},{"info":"⇑⪆-10234⊬⨰⇑⪆10=⇑⪆-20433","layer":0}]}
{"id":770,"expression_no_base_symbol":"(($2680$⫸⇳$4907$)⪍↜⋙(↸⊣$2957$)⪄($3687$⇆⨓≜)⨭⪣($3216$⊭↱$4129$))↡⊰⫅($5359$↳∿⪆$1365$)⇡⇂($2860$⫁$2835$)≎⪠(($1260$⊴$1745$)⫘($1446$⋻⩜⩜$2054$))","expression":"((⇑⪆41210⫸⇳⇑⪆124112)⪍↜⋙(↸⊣⇑⪆43312)⪄(⇑⪆104222⇆⨓≜)⨭⪣(⇑⪆100331⊭↱⇑⪆113004))↡⊰⫅(⇑⪆132414↳∿⪆⇑⪆20430)⇡⇂(⇑⪆42420⫁⇑⪆42320)≎⪠((⇑⪆20020⊴⇑⪆23440)⫘(⇑⪆21241⋻⩜⩜⇑⪆31204))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":328170,"operation_count":15,"complexity_ratio":21878.0,"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":2680,"base":5},"right_expr":{"type":"numeric_atoms","value":4907,"base":5}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2957,"base":5}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":3687,"base":5}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3216,"base":5},"right_expr":{"type":"numeric_atoms","value":4129,"base":5}}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":5359,"base":5},"right_expr":{"type":"numeric_atoms","value":1365,"base":5}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2860,"base":5},"right_expr":{"type":"numeric_atoms","value":2835,"base":5}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1260,"base":5},"right_expr":{"type":"numeric_atoms","value":1745,"base":5}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1446,"base":5},"right_expr":{"type":"numeric_atoms","value":2054,"base":5}}}}},"used_operators":["VCtxkLNOzz","SUmda5xLS4","L05ObWFQCd","gx7XJ7hdpj","wztAlM01eG","kn8WO9XteQ","KvvgdUaMHJ","COABgblf1C","aNhz54LH3e","UMwdvZNt44","Cw4SuJJGHO","0ajvFaJAv0","48vC8HMD2b","Nsiff2A1zJ","oDCm7WA9JY"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Uaa54Peajs","KYD54nUTWz","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","dWAJyo7jo9","14qkJME0vr","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⇑⪆2222431","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2680","layer":4},{"info":"number node, value=4907","layer":4},{"info":"compute binary expreesion, left_input=2680, right_input=4907, 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=2957","layer":4},{"info":"compute unary expreesion, input=2957, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2670","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2670, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=5340","layer":2},{"info":"number node, value=3687","layer":4},{"info":"compute unary expreesion, input=3687, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=3216","layer":4},{"info":"number node, value=4129","layer":4},{"info":"compute binary expreesion, left_input=3216, right_input=4129, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1831","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1831, 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=5340, 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":"number node, value=5359","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=5359, right_input=1365, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2860","layer":4},{"info":"number node, value=2835","layer":4},{"info":"compute binary expreesion, left_input=2860, right_input=2835, 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 = 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=1260","layer":4},{"info":"number node, value=1745","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=1745, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1446","layer":4},{"info":"number node, value=2054","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=2054, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2892","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2892, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":5,"result_base":5,"text":"((⇑⪆41210⫸⇳⇑⪆124112)⪍↜⋙(↸⊣⇑⪆43312)⪄(⇑⪆104222⇆⨓≜)⨭⪣(⇑⪆100331⊭↱⇑⪆113004))↡⊰⫅(⇑⪆132414↳∿⪆⇑⪆20430)⇡⇂(⇑⪆42420⫁⇑⪆42320)≎⪠((⇑⪆20020⊴⇑⪆23440)⫘(⇑⪆21241⋻⩜⩜⇑⪆31204))=⇑⪆2222431","reverse_text":"⇑⪆2222431=((⇑⪆41210⫸⇳⇑⪆124112)⪍↜⋙(↸⊣⇑⪆43312)⪄(⇑⪆104222⇆⨓≜)⨭⪣(⇑⪆100331⊭↱⇑⪆113004))↡⊰⫅(⇑⪆132414↳∿⪆⇑⪆20430)⇡⇂(⇑⪆42420⫁⇑⪆42320)≎⪠((⇑⪆20020⊴⇑⪆23440)⫘(⇑⪆21241⋻⩜⩜⇑⪆31204))","cot":[{"info":"⇑⪆41210⫸⇳⇑⪆124112=⇑⪆0","layer":3},{"info":"↸⊣⇑⪆43312=⇑⪆-41140","layer":3},{"info":"⇑⪆0⪍↜⋙⇑⪆-41140=⇑⪆132330","layer":2},{"info":"⇑⪆104222⇆⨓≜=NaN","layer":3},{"info":"⇑⪆100331⊭↱⇑⪆113004=⇑⪆24311","layer":3},{"info":"NaN⨭⪣⇑⪆24311=NaN","layer":2},{"info":"⇑⪆132330⪄NaN=NaN","layer":1},{"info":"⇑⪆132414↳∿⪆⇑⪆20430=NaN","layer":3},{"info":"⇑⪆42420⫁⇑⪆42320=⇑⪆1120","layer":3},{"info":"NaN⇡⇂⇑⪆1120=NaN","layer":2},{"info":"⇑⪆20020⊴⇑⪆23440=NaN","layer":3},{"info":"⇑⪆21241⋻⩜⩜⇑⪆31204=⇑⪆43032","layer":3},{"info":"NaN⫘⇑⪆43032=NaN","layer":2},{"info":"NaN≎⪠NaN=⇑⪆1111213","layer":1},{"info":"NaN↡⊰⫅⇑⪆1111213=⇑⪆2222431","layer":0}]}
{"id":771,"expression_no_base_symbol":"(⇨$4747$)≦↸($2417$⨫⇇↔$2750$)⪭($2720$⩨$1028$)⊕∕($1864$⫔⩽⩺$1286$)⇀∌","expression":"(⇨⇑⪆122442)≦↸(⇑⪆34132⨫⇇↔⇑⪆42000)⪭(⇑⪆41340⩨⇑⪆13103)⊕∕(⇑⪆24424⫔⩽⩺⇑⪆20121)⇀∌","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":180,"operation_count":8,"complexity_ratio":22.5,"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":4747,"base":5}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2417,"base":5},"right_expr":{"type":"numeric_atoms","value":2750,"base":5}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2720,"base":5},"right_expr":{"type":"numeric_atoms","value":1028,"base":5}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1864,"base":5},"right_expr":{"type":"numeric_atoms","value":1286,"base":5}}}}},"used_operators":["2k53nXOpI5","j9kHMeSvPp","RygbFNSyEJ","G9tJMlZ94a","LXhwmt4mBO","9cloC0Ngie","2DlMacCsIx","i9eR4S00cU"],"dependent_operators":["Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","COABgblf1C","xUOZtlo3hN","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","k8jYdgA6NY","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Tw270M8GLb","fu6greOZ01"],"result":"⇑⪆423","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4747","layer":4},{"info":"compute unary expreesion, input=4747, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=2417","layer":4},{"info":"number node, value=2750","layer":4},{"info":"compute binary expreesion, left_input=2417, right_input=2750, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-527, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=681","layer":2},{"info":"number node, value=2720","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=2720, right_input=1028, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1864","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=1864, right_input=1286, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=681, right_input=0, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"compute unary expreesion, input=5, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":0}],"base":5,"result_base":5,"text":"(⇨⇑⪆122442)≦↸(⇑⪆34132⨫⇇↔⇑⪆42000)⪭(⇑⪆41340⩨⇑⪆13103)⊕∕(⇑⪆24424⫔⩽⩺⇑⪆20121)⇀∌=⇑⪆423","reverse_text":"⇑⪆423=(⇨⇑⪆122442)≦↸(⇑⪆34132⨫⇇↔⇑⪆42000)⪭(⇑⪆41340⩨⇑⪆13103)⊕∕(⇑⪆24424⫔⩽⩺⇑⪆20121)⇀∌","cot":[{"info":"⇨⇑⪆122442=⇑⪆0","layer":3},{"info":"⇑⪆34132⨫⇇↔⇑⪆42000=⇑⪆-4102","layer":3},{"info":"⇑⪆0≦↸⇑⪆-4102=⇑⪆10211","layer":2},{"info":"⇑⪆41340⩨⇑⪆13103=⇑⪆0","layer":3},{"info":"⇑⪆24424⫔⩽⩺⇑⪆20121=NaN","layer":3},{"info":"⇑⪆0⊕∕NaN=⇑⪆0","layer":2},{"info":"⇑⪆10211⪭⇑⪆0=⇑⪆10","layer":1},{"info":"⇑⪆10⇀∌=⇑⪆423","layer":0}]}
{"id":772,"expression_no_base_symbol":"(($3480$⫸⇳$2383$⫚↹⊑(⨮↦↱$1744$))≒∊(⇘($4975$↯⫤)))⨚⇆(($1635$∠↢$1215$)+⪬∐($1744$⩹$1151$)⊓⋫)","expression":"((⇑⪆102410⫸⇳⇑⪆34013⫚↹⊑(⨮↦↱⇑⪆23434))≒∊(⇘(⇑⪆124400↯⫤)))⨚⇆((⇑⪆23020∠↢⇑⪆14330)+⪬∐(⇑⪆23434⩹⇑⪆14101)⊓⋫)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8015,"operation_count":11,"complexity_ratio":728.6363636363636,"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":3480,"base":5},"right_expr":{"type":"numeric_atoms","value":2383,"base":5}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1744,"base":5}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":4975,"base":5}}}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1635,"base":5},"right_expr":{"type":"numeric_atoms","value":1215,"base":5}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1744,"base":5},"right_expr":{"type":"numeric_atoms","value":1151,"base":5}}}}},"used_operators":["lwHaAYXP2r","5KTvxBwnZo","dfKe02y8D2","gx7XJ7hdpj","sYcpBQ0cFf","MGuIdZPyUC","VwlE7vj6HS","IqGBaFP0uj","2GS7woTJqF","KbjG8mgYpV","2Wsdkap16l"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3480","layer":4},{"info":"number node, value=2383","layer":4},{"info":"compute binary expreesion, left_input=3480, right_input=2383, 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=1744","layer":4},{"info":"compute unary expreesion, input=1744, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-4690026","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4690026, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=4975","layer":4},{"info":"compute unary expreesion, input=4975, 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 = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-1835","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-1835, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=931","layer":1},{"info":"number node, value=1635","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=1635, right_input=1215, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-22468","layer":3},{"info":"number node, value=1744","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=1744, right_input=1151, 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=1149","layer":3},{"info":"compute binary expreesion, left_input=-22468, right_input=1149, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=67404","layer":2},{"info":"compute unary expreesion, input=67404, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-67532","layer":1},{"info":"compute binary expreesion, left_input=931, right_input=-67532, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆102410⫸⇳⇑⪆34013⫚↹⊑(⨮↦↱⇑⪆23434))≒∊(⇘(⇑⪆124400↯⫤)))⨚⇆((⇑⪆23020∠↢⇑⪆14330)+⪬∐(⇑⪆23434⩹⇑⪆14101)⊓⋫)=NaN","reverse_text":"NaN=((⇑⪆102410⫸⇳⇑⪆34013⫚↹⊑(⨮↦↱⇑⪆23434))≒∊(⇘(⇑⪆124400↯⫤)))⨚⇆((⇑⪆23020∠↢⇑⪆14330)+⪬∐(⇑⪆23434⩹⇑⪆14101)⊓⋫)","cot":[{"info":"⇑⪆102410⫸⇳⇑⪆34013=⇑⪆0","layer":3},{"info":"⨮↦↱⇑⪆23434=⇑⪆-2200040101","layer":3},{"info":"⇑⪆0⫚↹⊑⇑⪆-2200040101=⇑⪆-3242","layer":2},{"info":"⇑⪆124400↯⫤=⇑⪆0","layer":3},{"info":"⇘⇑⪆0=⇑⪆-24320","layer":2},{"info":"⇑⪆-3242≒∊⇑⪆-24320=⇑⪆12211","layer":1},{"info":"⇑⪆23020∠↢⇑⪆14330=⇑⪆-1204333","layer":3},{"info":"⇑⪆23434⩹⇑⪆14101=⇑⪆14044","layer":3},{"info":"⇑⪆-1204333+⪬∐⇑⪆14044=⇑⪆4124104","layer":2},{"info":"⇑⪆4124104⊓⋫=⇑⪆-4130112","layer":1},{"info":"⇑⪆12211⨚⇆⇑⪆-4130112=NaN","layer":0}]}
{"id":773,"expression_no_base_symbol":"($5969$⇻⋧≁$3852$∌($4726$⪉⨛$1781$)↬($4767$⨼⩣$2368$)⇻⋧≁(⪝⪂⫅$1055$))↞⋁((($3365$↓$2069$)⪣⫩)⪬∳)","expression":"(⇑⪆142334⇻⋧≁⇑⪆110402∌(⇑⪆122401⪉⨛⇑⪆24111)↬(⇑⪆123032⨼⩣⇑⪆33433)⇻⋧≁(⪝⪂⫅⇑⪆13210))↞⋁(((⇑⪆101430↓⇑⪆31234)⪣⫩)⪬∳)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":38884,"operation_count":11,"complexity_ratio":3534.909090909091,"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":5969,"base":5},"right_expr":{"type":"numeric_atoms","value":3852,"base":5}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":4726,"base":5},"right_expr":{"type":"numeric_atoms","value":1781,"base":5}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4767,"base":5},"right_expr":{"type":"numeric_atoms","value":2368,"base":5}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1055,"base":5}}}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3365,"base":5},"right_expr":{"type":"numeric_atoms","value":2069,"base":5}}}}},"used_operators":["RqrPlJkxDo","B5M0gjZbta","8cLx32lpNA","jCPkEVoL5K","EWw2JM7wp4","JxwMv5le6e","XTarYq4gQB","O9U3z1385E","iuk5sVOGFA","Af076pWI7l"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rGHVDoGpnC","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9HNa5Wba9A","8w2t5hMYqp","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5969","layer":4},{"info":"number node, value=3852","layer":4},{"info":"compute binary expreesion, left_input=5969, right_input=3852, 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=4726","layer":4},{"info":"number node, value=1781","layer":4},{"info":"compute binary expreesion, left_input=4726, right_input=1781, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=12612","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=12612, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-447","layer":2},{"info":"number node, value=4767","layer":4},{"info":"number node, value=2368","layer":4},{"info":"compute binary expreesion, left_input=4767, right_input=2368, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1055","layer":4},{"info":"compute unary expreesion, input=1055, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-155085","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-155085, 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 binary expreesion, left_input=-447, 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":1},{"info":"number node, value=3365","layer":4},{"info":"number node, value=2069","layer":4},{"info":"compute binary expreesion, left_input=3365, right_input=2069, 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 = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":2},{"info":"compute unary expreesion, input=913, 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 = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆142334⇻⋧≁⇑⪆110402∌(⇑⪆122401⪉⨛⇑⪆24111)↬(⇑⪆123032⨼⩣⇑⪆33433)⇻⋧≁(⪝⪂⫅⇑⪆13210))↞⋁(((⇑⪆101430↓⇑⪆31234)⪣⫩)⪬∳)=NaN","reverse_text":"NaN=(⇑⪆142334⇻⋧≁⇑⪆110402∌(⇑⪆122401⪉⨛⇑⪆24111)↬(⇑⪆123032⨼⩣⇑⪆33433)⇻⋧≁(⪝⪂⫅⇑⪆13210))↞⋁(((⇑⪆101430↓⇑⪆31234)⪣⫩)⪬∳)","cot":[{"info":"⇑⪆142334⇻⋧≁⇑⪆110402=⇑⪆-3242","layer":3},{"info":"⇑⪆122401⪉⨛⇑⪆24111=⇑⪆400422","layer":3},{"info":"⇑⪆-3242∌⇑⪆400422=⇑⪆-3242","layer":2},{"info":"⇑⪆123032⨼⩣⇑⪆33433=NaN","layer":3},{"info":"⪝⪂⫅⇑⪆13210=⇑⪆-14430320","layer":3},{"info":"NaN⇻⋧≁⇑⪆-14430320=⇑⪆0","layer":2},{"info":"⇑⪆-3242↬⇑⪆0=NaN","layer":1},{"info":"⇑⪆101430↓⇑⪆31234=⇑⪆-1014","layer":3},{"info":"⇑⪆-1014⪣⫩=⇑⪆12123","layer":2},{"info":"⇑⪆12123⪬∳=⇑⪆-10314","layer":1},{"info":"NaN↞⋁⇑⪆-10314=NaN","layer":0}]}
{"id":774,"expression_no_base_symbol":"(⩷⨜⫀($5203$∇⊂⋱$2884$⇼⇔∾(∐⩳⋚$1513$)))⫢⨠(($3195$∑⇟⊟$1535$)⊝⪿⪼($4140$⨸⪁$2507$))↳∿⪆(≪$2354$)⫘$3934$⨸$1552$","expression":"(⩷⨜⫀(⇑⪆131303∇⊂⋱⇑⪆43014⇼⇔∾(∐⩳⋚⇑⪆22023)))⫢⨠((⇑⪆100240∑⇟⊟⇑⪆22120)⊝⪿⪼(⇑⪆113030⨸⪁⇑⪆40012))↳∿⪆(≪⇑⪆33404)⫘⇑⪆111214⨸⇑⪆22202","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":28998,"operation_count":12,"complexity_ratio":2416.5,"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":5203,"base":5},"right_expr":{"type":"numeric_atoms","value":2884,"base":5}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1513,"base":5}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3195,"base":5},"right_expr":{"type":"numeric_atoms","value":1535,"base":5}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4140,"base":5},"right_expr":{"type":"numeric_atoms","value":2507,"base":5}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":2354,"base":5}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3934,"base":5},"right_expr":{"type":"numeric_atoms","value":1552,"base":5}}}}},"used_operators":["xlXykHWxX1","CDi0ktkjQ4","tifHPKVTfV","nhYeJWJD5X","SL6IHkK8vl","Cw4SuJJGHO","3Oe9XWJUTD","U7g4x0WXJJ","g55IO6H4Gj","48vC8HMD2b","Qtd6bqUJcN","KmoU8R5UQR"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","ruOEQAzv1W","nhYeJWJD5X","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5203","layer":4},{"info":"number node, value=2884","layer":4},{"info":"compute binary expreesion, left_input=5203, right_input=2884, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=9860","layer":3},{"info":"number node, value=1513","layer":4},{"info":"compute unary expreesion, input=1513, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=210080","layer":3},{"info":"compute binary expreesion, left_input=9860, right_input=210080, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=200220","layer":2},{"info":"compute unary expreesion, input=200220, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-199947","layer":1},{"info":"number node, value=3195","layer":4},{"info":"number node, value=1535","layer":4},{"info":"compute binary expreesion, left_input=3195, right_input=1535, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4140","layer":4},{"info":"number node, value=2507","layer":4},{"info":"compute binary expreesion, left_input=4140, right_input=2507, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13294","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13294, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":2},{"info":"number node, value=2354","layer":4},{"info":"compute unary expreesion, input=2354, 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=3934","layer":4},{"info":"number node, value=1552","layer":4},{"info":"compute binary expreesion, left_input=3934, right_input=1552, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=7868","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=7868, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1078093","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1078093, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-199947, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⩷⨜⫀(⇑⪆131303∇⊂⋱⇑⪆43014⇼⇔∾(∐⩳⋚⇑⪆22023)))⫢⨠((⇑⪆100240∑⇟⊟⇑⪆22120)⊝⪿⪼(⇑⪆113030⨸⪁⇑⪆40012))↳∿⪆(≪⇑⪆33404)⫘⇑⪆111214⨸⇑⪆22202=NaN","reverse_text":"NaN=(⩷⨜⫀(⇑⪆131303∇⊂⋱⇑⪆43014⇼⇔∾(∐⩳⋚⇑⪆22023)))⫢⨠((⇑⪆100240∑⇟⊟⇑⪆22120)⊝⪿⪼(⇑⪆113030⨸⪁⇑⪆40012))↳∿⪆(≪⇑⪆33404)⫘⇑⪆111214⨸⇑⪆22202","cot":[{"info":"⇑⪆131303∇⊂⋱⇑⪆43014=⇑⪆303420","layer":3},{"info":"∐⩳⋚⇑⪆22023=⇑⪆23210310","layer":3},{"info":"⇑⪆303420⇼⇔∾⇑⪆23210310=⇑⪆22401340","layer":2},{"info":"⩷⨜⫀⇑⪆22401340=⇑⪆-22344242","layer":1},{"info":"⇑⪆100240∑⇟⊟⇑⪆22120=NaN","layer":3},{"info":"⇑⪆113030⨸⪁⇑⪆40012=⇑⪆411134","layer":3},{"info":"NaN⊝⪿⪼⇑⪆411134=NaN","layer":2},{"info":"≪⇑⪆33404=⇑⪆12123","layer":3},{"info":"⇑⪆111214⨸⇑⪆22202=⇑⪆222433","layer":3},{"info":"⇑⪆12123⫘⇑⪆222433=⇑⪆233444333","layer":2},{"info":"NaN↳∿⪆⇑⪆233444333=NaN","layer":1},{"info":"⇑⪆-22344242⫢⨠NaN=NaN","layer":0}]}
{"id":775,"expression_no_base_symbol":"((≋($3638$⪘⫢$1886$))⊹∫⫚($2248$⪷)⇷($5737$⫃⨇$2923$))⨓(⨰⫟⨤(($4820$⩭)⋅⇍($5344$↓⨍⋜)))","expression":"((≋(⇑⪆104023⪘⫢⇑⪆30021))⊹∫⫚(⇑⪆32443⪷)⇷(⇑⪆140422⫃⨇⇑⪆43143))⨓(⨰⫟⨤((⇑⪆123240⩭)⋅⇍(⇑⪆132334↓⨍⋜)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":22907,"operation_count":11,"complexity_ratio":2082.4545454545455,"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":3638,"base":5},"right_expr":{"type":"numeric_atoms","value":1886,"base":5}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":2248,"base":5}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5737,"base":5},"right_expr":{"type":"numeric_atoms","value":2923,"base":5}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":4820,"base":5}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":5344,"base":5}}}}},"used_operators":["3ViojmjbAp","uWAJUKEvyW","61wBmkZwlr","oacrs7FA3X","mp7IySMOzn","Qctrpi3WzA","09Ly4LVMIf","Tw270M8GLb","AdZkA7nFnk","yIPP7u6H5x","3DVzLFNsE9"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","7j4O788W3g","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Nsiff2A1zJ","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3638","layer":4},{"info":"number node, value=1886","layer":4},{"info":"compute binary expreesion, left_input=3638, right_input=1886, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7152","layer":3},{"info":"compute unary expreesion, input=7152, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=7152","layer":2},{"info":"number node, value=2248","layer":4},{"info":"compute unary expreesion, input=2248, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=5737","layer":4},{"info":"number node, value=2923","layer":4},{"info":"compute binary expreesion, left_input=5737, right_input=2923, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-11724","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11724, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7152, 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=4820","layer":4},{"info":"compute unary expreesion, input=4820, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"number node, value=5344","layer":4},{"info":"compute unary expreesion, input=5344, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6590, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', 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":5,"result_base":5,"text":"((≋(⇑⪆104023⪘⫢⇑⪆30021))⊹∫⫚(⇑⪆32443⪷)⇷(⇑⪆140422⫃⨇⇑⪆43143))⨓(⨰⫟⨤((⇑⪆123240⩭)⋅⇍(⇑⪆132334↓⨍⋜)))=NaN","reverse_text":"NaN=((≋(⇑⪆104023⪘⫢⇑⪆30021))⊹∫⫚(⇑⪆32443⪷)⇷(⇑⪆140422⫃⨇⇑⪆43143))⨓(⨰⫟⨤((⇑⪆123240⩭)⋅⇍(⇑⪆132334↓⨍⋜)))","cot":[{"info":"⇑⪆104023⪘⫢⇑⪆30021=⇑⪆212102","layer":3},{"info":"≋⇑⪆212102=⇑⪆212102","layer":2},{"info":"⇑⪆32443⪷=NaN","layer":3},{"info":"⇑⪆140422⫃⨇⇑⪆43143=⇑⪆-333344","layer":3},{"info":"NaN⇷⇑⪆-333344=NaN","layer":2},{"info":"⇑⪆212102⊹∫⫚NaN=NaN","layer":1},{"info":"⇑⪆123240⩭=NaN","layer":3},{"info":"⇑⪆132334↓⨍⋜=⇑⪆202330","layer":3},{"info":"NaN⋅⇍⇑⪆202330=⇑⪆-42","layer":2},{"info":"⨰⫟⨤⇑⪆-42=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":776,"expression_no_base_symbol":"(⇜($2067$→⨶⪴$6254$⋅⇍$1209$⪇≇⋚$2825$))⨐⩸⫘($1337$≳⇉$6334$)⨚⇆($4911$⇮⋭$6980$)⪍↜⋙($4212$∠⫱$1730$⊾⪯⋞($2511$↸$2145$))","expression":"(⇜(⇑⪆31232→⨶⪴⇑⪆200004⋅⇍⇑⪆14314⪇≇⋚⇑⪆42300))⨐⩸⫘(⇑⪆20322≳⇉⇑⪆200314)⨚⇆(⇑⪆124121⇮⋭⇑⪆210410)⪍↜⋙(⇑⪆113322∠⫱⇑⪆23410⊾⪯⋞(⇑⪆40021↸⇑⪆32040))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16018,"operation_count":12,"complexity_ratio":1334.8333333333333,"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":2067,"base":5},"right_expr":{"type":"numeric_atoms","value":6254,"base":5}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1209,"base":5},"right_expr":{"type":"numeric_atoms","value":2825,"base":5}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1337,"base":5},"right_expr":{"type":"numeric_atoms","value":6334,"base":5}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4911,"base":5},"right_expr":{"type":"numeric_atoms","value":6980,"base":5}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4212,"base":5},"right_expr":{"type":"numeric_atoms","value":1730,"base":5}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2511,"base":5},"right_expr":{"type":"numeric_atoms","value":2145,"base":5}}}}},"used_operators":["fu6greOZ01","lFBm8KRb8F","AdZkA7nFnk","bF6eod5Gvf","3sJ7IOPOlU","L05ObWFQCd","lwHaAYXP2r","V0kx6qeWkN","vkpjKywKVM","HK0tfVPux8","QvoQhV0rrE","1eCjFl0mb9"],"dependent_operators":["3ViojmjbAp","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","8w2t5hMYqp","9FxExcQeMw","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2067","layer":4},{"info":"number node, value=6254","layer":4},{"info":"compute binary expreesion, left_input=2067, right_input=6254, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-18762","layer":3},{"info":"number node, value=1209","layer":4},{"info":"number node, value=2825","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=2825, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-18762, right_input=0, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":1},{"info":"number node, value=1337","layer":4},{"info":"number node, value=6334","layer":4},{"info":"compute binary expreesion, left_input=1337, right_input=6334, 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=4911","layer":4},{"info":"number node, value=6980","layer":4},{"info":"compute binary expreesion, left_input=4911, right_input=6980, 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 = 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=4212","layer":4},{"info":"number node, value=1730","layer":4},{"info":"compute binary expreesion, left_input=4212, right_input=1730, 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=2511","layer":4},{"info":"number node, value=2145","layer":4},{"info":"compute binary expreesion, left_input=2511, right_input=2145, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2511","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=2511, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=4596","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4596, 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=232, 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":5,"result_base":5,"text":"(⇜(⇑⪆31232→⨶⪴⇑⪆200004⋅⇍⇑⪆14314⪇≇⋚⇑⪆42300))⨐⩸⫘(⇑⪆20322≳⇉⇑⪆200314)⨚⇆(⇑⪆124121⇮⋭⇑⪆210410)⪍↜⋙(⇑⪆113322∠⫱⇑⪆23410⊾⪯⋞(⇑⪆40021↸⇑⪆32040))=NaN","reverse_text":"NaN=(⇜(⇑⪆31232→⨶⪴⇑⪆200004⋅⇍⇑⪆14314⪇≇⋚⇑⪆42300))⨐⩸⫘(⇑⪆20322≳⇉⇑⪆200314)⨚⇆(⇑⪆124121⇮⋭⇑⪆210410)⪍↜⋙(⇑⪆113322∠⫱⇑⪆23410⊾⪯⋞(⇑⪆40021↸⇑⪆32040))","cot":[{"info":"⇑⪆31232→⨶⪴⇑⪆200004=⇑⪆-1100022","layer":3},{"info":"⇑⪆14314⪇≇⋚⇑⪆42300=⇑⪆0","layer":3},{"info":"⇑⪆-1100022⋅⇍⇑⪆0=⇑⪆-42","layer":2},{"info":"⇜⇑⪆-42=⇑⪆1412","layer":1},{"info":"⇑⪆20322≳⇉⇑⪆200314=NaN","layer":3},{"info":"⇑⪆124121⇮⋭⇑⪆210410=⇑⪆-3343","layer":3},{"info":"NaN⨚⇆⇑⪆-3343=NaN","layer":2},{"info":"⇑⪆113322∠⫱⇑⪆23410=⇑⪆14414","layer":3},{"info":"⇑⪆40021↸⇑⪆32040=⇑⪆40021","layer":3},{"info":"⇑⪆14414⊾⪯⋞⇑⪆40021=⇑⪆121341","layer":2},{"info":"NaN⪍↜⋙⇑⪆121341=NaN","layer":1},{"info":"⇑⪆1412⨐⩸⫘NaN=NaN","layer":0}]}
{"id":777,"expression_no_base_symbol":"(⊆⋠($8325$≁↽≥$5476$/$1469$≄⊠$1343$))⩁","expression":"(⊆⋠(⇑⪆231300≁↽≥⇑⪆133401/⇑⪆21334≄⊠⇑⪆20333))⩁","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":133,"operation_count":5,"complexity_ratio":26.6,"tree":{"type":"unary","operator":"⩁","unary_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":8325,"base":5},"right_expr":{"type":"numeric_atoms","value":5476,"base":5}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1469,"base":5},"right_expr":{"type":"numeric_atoms","value":1343,"base":5}}}}},"used_operators":["5GqDbVmqXU","EBhcHTkKd8","XhwjNDsVaA","ncHt1X6cMc","vXNesLlMH1"],"dependent_operators":["7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","rysDP5nf3Z","oWn0xqSxBt","3Oe9XWJUTD","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"⇑⪆-2343","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8325","layer":4},{"info":"number node, value=5476","layer":4},{"info":"compute binary expreesion, left_input=8325, right_input=5476, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=107117","layer":3},{"info":"number node, value=1469","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=1469, right_input=1343, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=26156","layer":3},{"info":"compute binary expreesion, left_input=107117, right_input=26156, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":2},{"info":"compute unary expreesion, input=4, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=348","layer":1},{"info":"compute unary expreesion, input=348, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-348","layer":0}],"base":5,"result_base":5,"text":"(⊆⋠(⇑⪆231300≁↽≥⇑⪆133401/⇑⪆21334≄⊠⇑⪆20333))⩁=⇑⪆-2343","reverse_text":"⇑⪆-2343=(⊆⋠(⇑⪆231300≁↽≥⇑⪆133401/⇑⪆21334≄⊠⇑⪆20333))⩁","cot":[{"info":"⇑⪆231300≁↽≥⇑⪆133401=⇑⪆11411432","layer":3},{"info":"⇑⪆21334≄⊠⇑⪆20333=⇑⪆1314111","layer":3},{"info":"⇑⪆11411432/⇑⪆1314111=⇑⪆4","layer":2},{"info":"⊆⋠⇑⪆4=⇑⪆2343","layer":1},{"info":"⇑⪆2343⩁=⇑⪆-2343","layer":0}]}
{"id":778,"expression_no_base_symbol":"(⊬↢($1496$⊹∫⫚$3288$⫸⊐$1154$+⇶⊼$1770$))⇤($3704$↹⊜$1667$⫦⪉$8920$⊉↱≁$1660$⨸⪁$3788$⪥$3292$≃$3455$⨔⇊$2598$)","expression":"(⊬↢(⇑⪆21441⊹∫⫚⇑⪆101123⫸⊐⇑⪆14104+⇶⊼⇑⪆24040))⇤(⇑⪆104304↹⊜⇑⪆23132⫦⪉⇑⪆241140⊉↱≁⇑⪆23120⨸⪁⇑⪆110123⪥⇑⪆101132≃⇑⪆102310⨔⇊⇑⪆40343)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":405,"operation_count":12,"complexity_ratio":33.75,"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":1496,"base":5},"right_expr":{"type":"numeric_atoms","value":3288,"base":5}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1154,"base":5},"right_expr":{"type":"numeric_atoms","value":1770,"base":5}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":3704,"base":5},"right_expr":{"type":"numeric_atoms","value":1667,"base":5}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":8920,"base":5},"right_expr":{"type":"numeric_atoms","value":1660,"base":5}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":3788,"base":5},"right_expr":{"type":"numeric_atoms","value":3292,"base":5}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3455,"base":5},"right_expr":{"type":"numeric_atoms","value":2598,"base":5}}}}},"used_operators":["YSKBFp38Pu","WPoGxAaPR1","mqXw5SEYmG","uWAJUKEvyW","TpPTUOHfaN","g55IO6H4Gj","wscyQdcy20","9bazX3JMtO","w2P8NbNXyL","YbVcJGFEVW","QbnwKVWMIQ","JclMnS0uGI"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"⇑⪆143340023","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1496","layer":4},{"info":"number node, value=3288","layer":4},{"info":"compute binary expreesion, left_input=1496, right_input=3288, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-312","layer":3},{"info":"number node, value=1154","layer":4},{"info":"number node, value=1770","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=1770, 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=-312, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=172","layer":2},{"info":"compute unary expreesion, input=172, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-520","layer":1},{"info":"number node, value=3704","layer":4},{"info":"number node, value=1667","layer":4},{"info":"compute binary expreesion, left_input=3704, right_input=1667, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=644","layer":3},{"info":"number node, value=8920","layer":4},{"info":"number node, value=1660","layer":4},{"info":"compute binary expreesion, left_input=8920, right_input=1660, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=79188","layer":3},{"info":"compute binary expreesion, left_input=644, right_input=79188, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=3612","layer":2},{"info":"number node, value=3788","layer":4},{"info":"number node, value=3292","layer":4},{"info":"compute binary expreesion, left_input=3788, right_input=3292, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=19804","layer":3},{"info":"number node, value=3455","layer":4},{"info":"number node, value=2598","layer":4},{"info":"compute binary expreesion, left_input=3455, right_input=2598, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2598","layer":3},{"info":"compute binary expreesion, left_input=19804, right_input=2598, 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=-79256","layer":2},{"info":"compute binary expreesion, left_input=3612, right_input=-79256, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-151288","layer":1},{"info":"compute binary expreesion, left_input=-520, right_input=-151288, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=761888","layer":0}],"base":5,"result_base":5,"text":"(⊬↢(⇑⪆21441⊹∫⫚⇑⪆101123⫸⊐⇑⪆14104+⇶⊼⇑⪆24040))⇤(⇑⪆104304↹⊜⇑⪆23132⫦⪉⇑⪆241140⊉↱≁⇑⪆23120⨸⪁⇑⪆110123⪥⇑⪆101132≃⇑⪆102310⨔⇊⇑⪆40343)=⇑⪆143340023","reverse_text":"⇑⪆143340023=(⊬↢(⇑⪆21441⊹∫⫚⇑⪆101123⫸⊐⇑⪆14104+⇶⊼⇑⪆24040))⇤(⇑⪆104304↹⊜⇑⪆23132⫦⪉⇑⪆241140⊉↱≁⇑⪆23120⨸⪁⇑⪆110123⪥⇑⪆101132≃⇑⪆102310⨔⇊⇑⪆40343)","cot":[{"info":"⇑⪆21441⊹∫⫚⇑⪆101123=⇑⪆-2222","layer":3},{"info":"⇑⪆14104+⇶⊼⇑⪆24040=NaN","layer":3},{"info":"⇑⪆-2222⫸⊐NaN=⇑⪆1142","layer":2},{"info":"⊬↢⇑⪆1142=⇑⪆-4040","layer":1},{"info":"⇑⪆104304↹⊜⇑⪆23132=⇑⪆10034","layer":3},{"info":"⇑⪆241140⊉↱≁⇑⪆23120=⇑⪆10013223","layer":3},{"info":"⇑⪆10034⫦⪉⇑⪆10013223=⇑⪆103422","layer":2},{"info":"⇑⪆110123⪥⇑⪆101132=⇑⪆1113204","layer":3},{"info":"⇑⪆102310⨔⇊⇑⪆40343=⇑⪆40343","layer":3},{"info":"⇑⪆1113204≃⇑⪆40343=⇑⪆-10014011","layer":2},{"info":"⇑⪆103422⨸⪁⇑⪆-10014011=⇑⪆-14320123","layer":1},{"info":"⇑⪆-4040⇤⇑⪆-14320123=⇑⪆143340023","layer":0}]}
{"id":779,"expression_no_base_symbol":"((⋠∜($1449$*$8112$))⪘⫢($3841$⫡⨏$5625$)⫘($5533$⪛$1047$))⫞⩸⩒((⊀($2291$∝$1518$))≀⩗∶(⊗$7644$)→⨶⪴($2890$⫰⋱$2683$))","expression":"((⋠∜(⇑⪆21244*⇑⪆224422))⪘⫢(⇑⪆110331⫡⨏⇑⪆140000)⫘(⇑⪆134113⪛⇑⪆13142))⫞⩸⩒((⊀(⇑⪆33131∝⇑⪆22033))≀⩗∶(⊗⇑⪆221034)→⨶⪴(⇑⪆43030⫰⋱⇑⪆41213))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":33034,"operation_count":13,"complexity_ratio":2541.076923076923,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1449,"base":5},"right_expr":{"type":"numeric_atoms","value":8112,"base":5}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3841,"base":5},"right_expr":{"type":"numeric_atoms","value":5625,"base":5}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5533,"base":5},"right_expr":{"type":"numeric_atoms","value":1047,"base":5}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2291,"base":5},"right_expr":{"type":"numeric_atoms","value":1518,"base":5}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":7644,"base":5}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2890,"base":5},"right_expr":{"type":"numeric_atoms","value":2683,"base":5}}}}},"used_operators":["XGcMNugi78","oacrs7FA3X","ZJpFhNJr3x","9HNa5Wba9A","48vC8HMD2b","QMFrweE19q","uFcxV4UQCh","8INZBEW696","oPMjh9089D","cTDWOvIxvz","bF6eod5Gvf","RhiyfpczSx","6o9Blt3TJ6"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","W4YGzv6Whe","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","7j4O788W3g","W4YGzv6Whe","COABgblf1C","8w2t5hMYqp","9FxExcQeMw","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"⇑⪆143033214443","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1449","layer":4},{"info":"number node, value=8112","layer":4},{"info":"compute binary expreesion, left_input=1449, right_input=8112, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11754288","layer":3},{"info":"compute unary expreesion, input=11754288, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=47019436","layer":2},{"info":"number node, value=3841","layer":4},{"info":"number node, value=5625","layer":4},{"info":"compute binary expreesion, left_input=3841, right_input=5625, 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=31238","layer":3},{"info":"number node, value=5533","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=5533, right_input=1047, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=298","layer":3},{"info":"compute binary expreesion, left_input=31238, right_input=298, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=36740293","layer":2},{"info":"compute binary expreesion, left_input=47019436, right_input=36740293, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=94038748","layer":1},{"info":"number node, value=2291","layer":4},{"info":"number node, value=1518","layer":4},{"info":"compute binary expreesion, left_input=2291, right_input=1518, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2296","layer":3},{"info":"compute unary expreesion, input=2296, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=8922","layer":2},{"info":"number node, value=7644","layer":4},{"info":"compute unary expreesion, input=7644, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-15288","layer":3},{"info":"number node, value=2890","layer":4},{"info":"number node, value=2683","layer":4},{"info":"compute binary expreesion, left_input=2890, right_input=2683, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2857","layer":3},{"info":"compute binary expreesion, left_input=-15288, right_input=-2857, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-24894","layer":2},{"info":"compute binary expreesion, left_input=8922, right_input=-24894, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=9","layer":1},{"info":"compute binary expreesion, left_input=94038748, right_input=9, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=94038748","layer":0}],"base":5,"result_base":5,"text":"((⋠∜(⇑⪆21244*⇑⪆224422))⪘⫢(⇑⪆110331⫡⨏⇑⪆140000)⫘(⇑⪆134113⪛⇑⪆13142))⫞⩸⩒((⊀(⇑⪆33131∝⇑⪆22033))≀⩗∶(⊗⇑⪆221034)→⨶⪴(⇑⪆43030⫰⋱⇑⪆41213))=⇑⪆143033214443","reverse_text":"⇑⪆143033214443=((⋠∜(⇑⪆21244*⇑⪆224422))⪘⫢(⇑⪆110331⫡⨏⇑⪆140000)⫘(⇑⪆134113⪛⇑⪆13142))⫞⩸⩒((⊀(⇑⪆33131∝⇑⪆22033))≀⩗∶(⊗⇑⪆221034)→⨶⪴(⇑⪆43030⫰⋱⇑⪆41213))","cot":[{"info":"⇑⪆21244*⇑⪆224422=⇑⪆11002114123","layer":3},{"info":"⋠∜⇑⪆11002114123=⇑⪆44014110221","layer":2},{"info":"⇑⪆110331⫡⨏⇑⪆140000=⇑⪆1444423","layer":3},{"info":"⇑⪆134113⪛⇑⪆13142=⇑⪆2143","layer":3},{"info":"⇑⪆1444423⫘⇑⪆2143=⇑⪆33401142133","layer":2},{"info":"⇑⪆44014110221⪘⫢⇑⪆33401142133=⇑⪆143033214443","layer":1},{"info":"⇑⪆33131∝⇑⪆22033=⇑⪆33141","layer":3},{"info":"⊀⇑⪆33141=⇑⪆241142","layer":2},{"info":"⊗⇑⪆221034=⇑⪆-442123","layer":3},{"info":"⇑⪆43030⫰⋱⇑⪆41213=⇑⪆-42412","layer":3},{"info":"⇑⪆-442123→⨶⪴⇑⪆-42412=⇑⪆-1244034","layer":2},{"info":"⇑⪆241142≀⩗∶⇑⪆-1244034=⇑⪆14","layer":1},{"info":"⇑⪆143033214443⫞⩸⩒⇑⪆14=⇑⪆143033214443","layer":0}]}
{"id":780,"expression_no_base_symbol":"((($2776$⪐)∙∹∝(⊖∈$3204$))∸)⪭((≇⪴$1075$⨸$1806$)∀⇚≩(≻⋜($3034$⫰⋱$5462$)))","expression":"(((⇑⪆42101⪐)∙∹∝(⊖∈⇑⪆100304))∸)⪭((≇⪴⇑⪆13300⨸⇑⪆24211)∀⇚≩(≻⋜(⇑⪆44114⫰⋱⇑⪆133322)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":64518,"operation_count":10,"complexity_ratio":6451.8,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2776,"base":5}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":3204,"base":5}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1075,"base":5},"right_expr":{"type":"numeric_atoms","value":1806,"base":5}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3034,"base":5},"right_expr":{"type":"numeric_atoms","value":5462,"base":5}}}}},"used_operators":["j9kHMeSvPp","o20kRiQErp","HmxsFra2vL","eH2TOUuTDT","YFxL8Sc2Zy","LRNGc0VcxI","zoVPnxeHJ3","KmoU8R5UQR","3tj9sqzovi","6o9Blt3TJ6"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","tmPS8pqC7x","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","X99M06cbEe","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"⇑⪆-2401","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2776","layer":4},{"info":"compute unary expreesion, input=2776, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5552","layer":3},{"info":"number node, value=3204","layer":4},{"info":"compute unary expreesion, input=3204, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=58486","layer":3},{"info":"compute binary expreesion, left_input=5552, right_input=58486, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=1075","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=1806, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2150","layer":3},{"info":"compute unary expreesion, input=2150, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-5110","layer":2},{"info":"number node, value=3034","layer":4},{"info":"number node, value=5462","layer":4},{"info":"compute binary expreesion, left_input=3034, right_input=5462, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3001","layer":3},{"info":"compute unary expreesion, input=-3001, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5110, 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=177, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-351","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆42101⪐)∙∹∝(⊖∈⇑⪆100304))∸)⪭((≇⪴⇑⪆13300⨸⇑⪆24211)∀⇚≩(≻⋜(⇑⪆44114⫰⋱⇑⪆133322)))=⇑⪆-2401","reverse_text":"⇑⪆-2401=(((⇑⪆42101⪐)∙∹∝(⊖∈⇑⪆100304))∸)⪭((≇⪴⇑⪆13300⨸⇑⪆24211)∀⇚≩(≻⋜(⇑⪆44114⫰⋱⇑⪆133322)))","cot":[{"info":"⇑⪆42101⪐=⇑⪆134202","layer":3},{"info":"⊖∈⇑⪆100304=⇑⪆3332421","layer":3},{"info":"⇑⪆134202∙∹∝⇑⪆3332421=⇑⪆0","layer":2},{"info":"⇑⪆0∸=⇑⪆1202","layer":1},{"info":"⇑⪆13300⨸⇑⪆24211=⇑⪆32100","layer":3},{"info":"≇⪴⇑⪆32100=⇑⪆-130420","layer":2},{"info":"⇑⪆44114⫰⋱⇑⪆133322=⇑⪆-44001","layer":3},{"info":"≻⋜⇑⪆-44001=NaN","layer":2},{"info":"⇑⪆-130420∀⇚≩NaN=NaN","layer":1},{"info":"⇑⪆1202⪭NaN=⇑⪆-2401","layer":0}]}
{"id":781,"expression_no_base_symbol":"($1625$≌$3005$⪷)⪔⊥(($1284$∕⩚$4789$)⊚⫡⫭)∌((($1643$⫡⨏$4353$)⊹∫⫚($2066$⩢≌))⊴($1380$∓⋝$1677$↱$2299$⪛⫼$2795$))","expression":"(⇑⪆23000≌⇑⪆44010⪷)⪔⊥((⇑⪆20114∕⩚⇑⪆123124)⊚⫡⫭)∌(((⇑⪆23033⫡⨏⇑⪆114403)⊹∫⫚(⇑⪆31231⩢≌))⊴(⇑⪆21010∓⋝⇑⪆23202↱⇑⪆33144⪛⫼⇑⪆42140))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7321,"operation_count":13,"complexity_ratio":563.1538461538462,"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":1625,"base":5},"right_expr":{"type":"numeric_atoms","value":3005,"base":5}}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1284,"base":5},"right_expr":{"type":"numeric_atoms","value":4789,"base":5}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1643,"base":5},"right_expr":{"type":"numeric_atoms","value":4353,"base":5}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":2066,"base":5}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1380,"base":5},"right_expr":{"type":"numeric_atoms","value":1677,"base":5}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2299,"base":5},"right_expr":{"type":"numeric_atoms","value":2795,"base":5}}}}},"used_operators":["8cLx32lpNA","HJ9erzHUuu","Qctrpi3WzA","lyWz822IDG","SpZWOsLKZJ","z9ffQ9n5Zr","Nsiff2A1zJ","uWAJUKEvyW","QMFrweE19q","D617RFjZIq","SR5kFfdi6N","PoHhknlbAi","hyuBjUqXlG"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","Nsiff2A1zJ","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","dWAJyo7jo9","14qkJME0vr","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","t8gj7n24qd","hTbEZDJLEm","o20kRiQErp","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1625","layer":4},{"info":"number node, value=3005","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=3005, 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 = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"number node, value=1284","layer":4},{"info":"number node, value=4789","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=4789, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1287","layer":3},{"info":"compute unary expreesion, input=-1287, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=8422","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8422, 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=1643","layer":4},{"info":"number node, value=4353","layer":4},{"info":"compute binary expreesion, left_input=1643, right_input=4353, 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=17704","layer":3},{"info":"number node, value=2066","layer":4},{"info":"compute unary expreesion, input=2066, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=17704, right_input=113, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-340","layer":2},{"info":"number node, value=1380","layer":4},{"info":"number node, value=1677","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=1677, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=2299","layer":4},{"info":"number node, value=2795","layer":4},{"info":"compute binary expreesion, left_input=2299, right_input=2795, 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=67, right_input=968, 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=-2382","layer":2},{"info":"compute binary expreesion, left_input=-340, right_input=-2382, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆23000≌⇑⪆44010⪷)⪔⊥((⇑⪆20114∕⩚⇑⪆123124)⊚⫡⫭)∌(((⇑⪆23033⫡⨏⇑⪆114403)⊹∫⫚(⇑⪆31231⩢≌))⊴(⇑⪆21010∓⋝⇑⪆23202↱⇑⪆33144⪛⫼⇑⪆42140))=NaN","reverse_text":"NaN=(⇑⪆23000≌⇑⪆44010⪷)⪔⊥((⇑⪆20114∕⩚⇑⪆123124)⊚⫡⫭)∌(((⇑⪆23033⫡⨏⇑⪆114403)⊹∫⫚(⇑⪆31231⩢≌))⊴(⇑⪆21010∓⋝⇑⪆23202↱⇑⪆33144⪛⫼⇑⪆42140))","cot":[{"info":"⇑⪆23000≌⇑⪆44010=NaN","layer":3},{"info":"NaN⪷=NaN","layer":2},{"info":"⇑⪆20114∕⩚⇑⪆123124=⇑⪆-20122","layer":3},{"info":"⇑⪆-20122⊚⫡⫭=⇑⪆232142","layer":2},{"info":"NaN⪔⊥⇑⪆232142=NaN","layer":1},{"info":"⇑⪆23033⫡⨏⇑⪆114403=⇑⪆1031304","layer":3},{"info":"⇑⪆31231⩢≌=⇑⪆423","layer":3},{"info":"⇑⪆1031304⊹∫⫚⇑⪆423=⇑⪆-2330","layer":2},{"info":"⇑⪆21010∓⋝⇑⪆23202=⇑⪆232","layer":3},{"info":"⇑⪆33144⪛⫼⇑⪆42140=⇑⪆12333","layer":3},{"info":"⇑⪆232↱⇑⪆12333=⇑⪆-34012","layer":2},{"info":"⇑⪆-2330⊴⇑⪆-34012=NaN","layer":1},{"info":"NaN∌NaN=NaN","layer":0}]}
{"id":782,"expression_no_base_symbol":"⊁⨺(⫎≠⋺($3186$⫉⨲⊜$3131$∲⫓(↽≂$3610$)))","expression":"⊁⨺(⫎≠⋺(⇑⪆100221⫉⨲⊜⇑⪆100011∲⫓(↽≂⇑⪆103420)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":71,"operation_count":5,"complexity_ratio":14.2,"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":3186,"base":5},"right_expr":{"type":"numeric_atoms","value":3131,"base":5}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3610,"base":5}}}}},"used_operators":["PxiHyQbrIp","LYeZOJ0nQG","i8ToyICDmI","WhqkvtTD3t","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⇑⪆-113210","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3186","layer":4},{"info":"number node, value=3131","layer":4},{"info":"compute binary expreesion, left_input=3186, right_input=3131, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=3610","layer":4},{"info":"compute unary expreesion, input=3610, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7220","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7220, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":1},{"info":"compute unary expreesion, input=-709, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-4180","layer":0}],"base":5,"result_base":5,"text":"⊁⨺(⫎≠⋺(⇑⪆100221⫉⨲⊜⇑⪆100011∲⫓(↽≂⇑⪆103420)))=⇑⪆-113210","reverse_text":"⇑⪆-113210=⊁⨺(⫎≠⋺(⇑⪆100221⫉⨲⊜⇑⪆100011∲⫓(↽≂⇑⪆103420)))","cot":[{"info":"⇑⪆100221⫉⨲⊜⇑⪆100011=⇑⪆0","layer":3},{"info":"↽≂⇑⪆103420=⇑⪆-212340","layer":3},{"info":"⇑⪆0∲⫓⇑⪆-212340=⇑⪆0","layer":2},{"info":"⫎≠⋺⇑⪆0=⇑⪆-10314","layer":1},{"info":"⊁⨺⇑⪆-10314=⇑⪆-113210","layer":0}]}
{"id":783,"expression_no_base_symbol":"(($3881$≀⩗∶$7703$)∌↝(⊲⪭$6872$)∪⫐($3043$⨿$2771$⪨≂$3311$⊉↱≁$1306$))≀⩗∶($4868$⪎↠$1293$⋳⪒($2044$⇚⪠))⋝⋈⪟(⩩($1745$↱$4777$))","expression":"((⇑⪆111011≀⩗∶⇑⪆221303)∌↝(⊲⪭⇑⪆204442)∪⫐(⇑⪆44133⨿⇑⪆42041⪨≂⇑⪆101221⊉↱≁⇑⪆20211))≀⩗∶(⇑⪆123433⪎↠⇑⪆20133⋳⪒(⇑⪆31134⇚⪠))⋝⋈⪟(⩩(⇑⪆23440↱⇑⪆123102))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":17168,"operation_count":14,"complexity_ratio":1226.2857142857142,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3881,"base":5},"right_expr":{"type":"numeric_atoms","value":7703,"base":5}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":6872,"base":5}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3043,"base":5},"right_expr":{"type":"numeric_atoms","value":2771,"base":5}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3311,"base":5},"right_expr":{"type":"numeric_atoms","value":1306,"base":5}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":4868,"base":5},"right_expr":{"type":"numeric_atoms","value":1293,"base":5}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":2044,"base":5}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1745,"base":5},"right_expr":{"type":"numeric_atoms","value":4777,"base":5}}}}},"used_operators":["8INZBEW696","7YooWSwCyH","9Isq31Ruls","k7HXdKtiEU","sdazOOVcIp","abYXlopdE0","w2P8NbNXyL","2DDjHMKMc0","12rbrZMWeM","3tVxb0NHM4","Loh9y4A90B","kMhfGuqI2H","SR5kFfdi6N"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","rJVOvQCfKK","2DDjHMKMc0","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","i8ToyICDmI","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3881","layer":4},{"info":"number node, value=7703","layer":4},{"info":"compute binary expreesion, left_input=3881, right_input=7703, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"number node, value=6872","layer":4},{"info":"compute unary expreesion, input=6872, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-7046","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-7046, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-6","layer":2},{"info":"number node, value=3043","layer":4},{"info":"number node, value=2771","layer":4},{"info":"compute binary expreesion, left_input=3043, right_input=2771, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=3311","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=3311, right_input=1306, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=25222","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=25222, 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=-50980","layer":2},{"info":"compute binary expreesion, left_input=-6, right_input=-50980, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-6","layer":1},{"info":"number node, value=4868","layer":4},{"info":"number node, value=1293","layer":4},{"info":"compute binary expreesion, left_input=4868, right_input=1293, 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=2044","layer":4},{"info":"compute unary expreesion, input=2044, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=8355872","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=8355872, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-8355839","layer":2},{"info":"number node, value=1745","layer":4},{"info":"number node, value=4777","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=4777, 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=-13809","layer":3},{"info":"compute unary expreesion, input=-13809, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8355839, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆111011≀⩗∶⇑⪆221303)∌↝(⊲⪭⇑⪆204442)∪⫐(⇑⪆44133⨿⇑⪆42041⪨≂⇑⪆101221⊉↱≁⇑⪆20211))≀⩗∶(⇑⪆123433⪎↠⇑⪆20133⋳⪒(⇑⪆31134⇚⪠))⋝⋈⪟(⩩(⇑⪆23440↱⇑⪆123102))=NaN","reverse_text":"NaN=((⇑⪆111011≀⩗∶⇑⪆221303)∌↝(⊲⪭⇑⪆204442)∪⫐(⇑⪆44133⨿⇑⪆42041⪨≂⇑⪆101221⊉↱≁⇑⪆20211))≀⩗∶(⇑⪆123433⪎↠⇑⪆20133⋳⪒(⇑⪆31134⇚⪠))⋝⋈⪟(⩩(⇑⪆23440↱⇑⪆123102))","cot":[{"info":"⇑⪆111011≀⩗∶⇑⪆221303=⇑⪆-3","layer":3},{"info":"⊲⪭⇑⪆204442=⇑⪆-211141","layer":3},{"info":"⇑⪆-3∌↝⇑⪆-211141=⇑⪆-11","layer":2},{"info":"⇑⪆44133⨿⇑⪆42041=⇑⪆-2234","layer":3},{"info":"⇑⪆101221⊉↱≁⇑⪆20211=⇑⪆1301342","layer":3},{"info":"⇑⪆-2234⪨≂⇑⪆1301342=⇑⪆-3112410","layer":2},{"info":"⇑⪆-11∪⫐⇑⪆-3112410=⇑⪆-11","layer":1},{"info":"⇑⪆123433⪎↠⇑⪆20133=⇑⪆1120","layer":3},{"info":"⇑⪆31134⇚⪠=⇑⪆4114341442","layer":3},{"info":"⇑⪆1120⋳⪒⇑⪆4114341442=⇑⪆-4114341324","layer":2},{"info":"⇑⪆23440↱⇑⪆123102=⇑⪆-420214","layer":3},{"info":"⩩⇑⪆-420214=NaN","layer":2},{"info":"⇑⪆-4114341324⋝⋈⪟NaN=NaN","layer":1},{"info":"⇑⪆-11≀⩗∶NaN=NaN","layer":0}]}
{"id":784,"expression_no_base_symbol":"(($4706$⨚⇆$1658$∲⫓$2533$⪛⫼$7916$)∀⋜↑)⨲","expression":"((⇑⪆122311⨚⇆⇑⪆23113∲⫓⇑⪆40113⪛⫼⇑⪆223131)∀⋜↑)⨲","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":38791,"operation_count":5,"complexity_ratio":7758.2,"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":4706,"base":5},"right_expr":{"type":"numeric_atoms","value":1658,"base":5}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2533,"base":5},"right_expr":{"type":"numeric_atoms","value":7916,"base":5}}}}},"used_operators":["nLYMGWM7L8","KipPnG1M2J","i8ToyICDmI","lwHaAYXP2r","hyuBjUqXlG"],"dependent_operators":["DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"⇑⪆2144334314","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4706","layer":4},{"info":"number node, value=1658","layer":4},{"info":"compute binary expreesion, left_input=4706, right_input=1658, 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=2533","layer":4},{"info":"number node, value=7916","layer":4},{"info":"compute binary expreesion, left_input=2533, right_input=7916, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":1},{"info":"compute unary expreesion, input=-484, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆122311⨚⇆⇑⪆23113∲⫓⇑⪆40113⪛⫼⇑⪆223131)∀⋜↑)⨲=⇑⪆2144334314","reverse_text":"⇑⪆2144334314=((⇑⪆122311⨚⇆⇑⪆23113∲⫓⇑⪆40113⪛⫼⇑⪆223131)∀⋜↑)⨲","cot":[{"info":"⇑⪆122311⨚⇆⇑⪆23113=NaN","layer":3},{"info":"⇑⪆40113⪛⫼⇑⪆223131=⇑⪆12333","layer":3},{"info":"NaN∲⫓⇑⪆12333=⇑⪆0","layer":2},{"info":"⇑⪆0∀⋜↑=⇑⪆-3414","layer":1},{"info":"⇑⪆-3414⨲=⇑⪆2144334314","layer":0}]}
{"id":785,"expression_no_base_symbol":"((($5848$≥⨤⩑$2456$)⇄$2049$⪝$3995$)⇍⊗($1204$⪒⊣⊆$7772$)≁↽≥($1044$≥⨤⩑$2297$))→⨶⪴(($3699$⪁$1007$)≓∲$5916$⪍↜⋙$1112$⊾⪯⋞($2452$⊭↱$2283$)≎⊠⪸(⇁⨣⪵$3731$))","expression":"(((⇑⪆141343≥⨤⩑⇑⪆34311)⇄⇑⪆31144⪝⇑⪆111440)⇍⊗(⇑⪆14304⪒⊣⊆⇑⪆222042)≁↽≥(⇑⪆13134≥⨤⩑⇑⪆33142))→⨶⪴((⇑⪆104244⪁⇑⪆13012)≓∲⇑⪆142131⪍↜⋙⇑⪆13422⊾⪯⋞(⇑⪆34302⊭↱⇑⪆33113)≎⊠⪸(⇁⨣⪵⇑⪆104411))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19061458,"operation_count":15,"complexity_ratio":1270763.8666666667,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":5848,"base":5},"right_expr":{"type":"numeric_atoms","value":2456,"base":5}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2049,"base":5},"right_expr":{"type":"numeric_atoms","value":3995,"base":5}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1204,"base":5},"right_expr":{"type":"numeric_atoms","value":7772,"base":5}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1044,"base":5},"right_expr":{"type":"numeric_atoms","value":2297,"base":5}}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3699,"base":5},"right_expr":{"type":"numeric_atoms","value":1007,"base":5}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":5916,"base":5},"right_expr":{"type":"numeric_atoms","value":1112,"base":5}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2452,"base":5},"right_expr":{"type":"numeric_atoms","value":2283,"base":5}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3731,"base":5}}}}},"used_operators":["bF6eod5Gvf","5uvYHDjeKN","3EYGwJThht","gJLn6v0xnP","wicAB68Tmb","ncHt1X6cMc","eRqsBgTDFp","HK0tfVPux8","s1XTVnmDOJ","I7sXao9hZE","L05ObWFQCd","bJkvcejdHO","COABgblf1C","inkyxCbjAn"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","oWn0xqSxBt","3Oe9XWJUTD","sdazOOVcIp","W4YGzv6Whe","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5848","layer":4},{"info":"number node, value=2456","layer":4},{"info":"compute binary expreesion, left_input=5848, right_input=2456, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=2049","layer":4},{"info":"number node, value=3995","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=3995, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=237, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=1204","layer":4},{"info":"number node, value=7772","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=7772, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2408","layer":3},{"info":"number node, value=1044","layer":4},{"info":"number node, value=2297","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=2297, 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=2408, right_input=1234, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=38680","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=38680, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=3699","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=3699, right_input=1007, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=5916","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=5916, right_input=1112, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=9608","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9608, 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=2452","layer":4},{"info":"number node, value=2283","layer":4},{"info":"compute binary expreesion, left_input=2452, right_input=2283, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-333","layer":3},{"info":"number node, value=3731","layer":4},{"info":"compute unary expreesion, input=3731, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-333, 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 binary expreesion, left_input=nan, right_input=67, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆141343≥⨤⩑⇑⪆34311)⇄⇑⪆31144⪝⇑⪆111440)⇍⊗(⇑⪆14304⪒⊣⊆⇑⪆222042)≁↽≥(⇑⪆13134≥⨤⩑⇑⪆33142))→⨶⪴((⇑⪆104244⪁⇑⪆13012)≓∲⇑⪆142131⪍↜⋙⇑⪆13422⊾⪯⋞(⇑⪆34302⊭↱⇑⪆33113)≎⊠⪸(⇁⨣⪵⇑⪆104411))=NaN","reverse_text":"NaN=(((⇑⪆141343≥⨤⩑⇑⪆34311)⇄⇑⪆31144⪝⇑⪆111440)⇍⊗(⇑⪆14304⪒⊣⊆⇑⪆222042)≁↽≥(⇑⪆13134≥⨤⩑⇑⪆33142))→⨶⪴((⇑⪆104244⪁⇑⪆13012)≓∲⇑⪆142131⪍↜⋙⇑⪆13422⊾⪯⋞(⇑⪆34302⊭↱⇑⪆33113)≎⊠⪸(⇁⨣⪵⇑⪆104411))","cot":[{"info":"⇑⪆141343≥⨤⩑⇑⪆34311=⇑⪆14414","layer":3},{"info":"⇑⪆31144⪝⇑⪆111440=⇑⪆1422","layer":3},{"info":"⇑⪆14414⇄⇑⪆1422=⇑⪆0","layer":2},{"info":"⇑⪆14304⪒⊣⊆⇑⪆222042=⇑⪆34113","layer":3},{"info":"⇑⪆13134≥⨤⩑⇑⪆33142=⇑⪆14414","layer":3},{"info":"⇑⪆34113≁↽≥⇑⪆14414=⇑⪆2214210","layer":2},{"info":"⇑⪆0⇍⊗⇑⪆2214210=⇑⪆-1434","layer":1},{"info":"⇑⪆104244⪁⇑⪆13012=NaN","layer":3},{"info":"⇑⪆142131⪍↜⋙⇑⪆13422=⇑⪆301413","layer":3},{"info":"NaN≓∲⇑⪆301413=NaN","layer":2},{"info":"⇑⪆34302⊭↱⇑⪆33113=⇑⪆-2313","layer":3},{"info":"⇁⨣⪵⇑⪆104411=NaN","layer":3},{"info":"⇑⪆-2313≎⊠⪸NaN=⇑⪆232","layer":2},{"info":"NaN⊾⪯⋞⇑⪆232=NaN","layer":1},{"info":"⇑⪆-1434→⨶⪴NaN=NaN","layer":0}]}
{"id":786,"expression_no_base_symbol":"(⪹$2608$↼⊘⨖$1688$∀⇚≩($3364$⪕$2404$))⪍↜⋙((($1201$⊬⨰$1571$)⊊)∖($1398$⊀⩕)≃(⊆⋠$1703$))","expression":"(⪹⇑⪆40413↼⊘⨖⇑⪆23223∀⇚≩(⇑⪆101424⪕⇑⪆34104))⪍↜⋙(((⇑⪆14301⊬⨰⇑⪆22241)⊊)∖(⇑⪆21043⊀⩕)≃(⊆⋠⇑⪆23303))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":23841,"operation_count":11,"complexity_ratio":2167.3636363636365,"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":2608,"base":5},"right_expr":{"type":"numeric_atoms","value":1688,"base":5}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3364,"base":5},"right_expr":{"type":"numeric_atoms","value":2404,"base":5}}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1201,"base":5},"right_expr":{"type":"numeric_atoms","value":1571,"base":5}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":1398,"base":5}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1703,"base":5}}}}},"used_operators":["L05ObWFQCd","USyYr0JgAa","LRNGc0VcxI","bPywburJMS","umQnsF7QlU","tXD093vOjl","W9R8I5fN5A","s3Fd5m9Dh2","YbVcJGFEVW","r0FS3hW4cC","EBhcHTkKd8"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","tifHPKVTfV","X99M06cbEe","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rGHVDoGpnC","nhYeJWJD5X","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2608","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=1688, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3154","layer":3},{"info":"number node, value=3364","layer":4},{"info":"number node, value=2404","layer":4},{"info":"compute binary expreesion, left_input=3364, right_input=2404, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=5225","layer":3},{"info":"compute binary expreesion, left_input=3154, right_input=5225, 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 = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=nan","layer":1},{"info":"number node, value=1201","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=1201, right_input=1571, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=6429","layer":3},{"info":"compute unary expreesion, input=6429, 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=1398","layer":4},{"info":"compute unary expreesion, input=1398, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"number node, value=1703","layer":4},{"info":"compute unary expreesion, input=1703, 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 = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-80","layer":2},{"info":"compute binary expreesion, left_input=90927, right_input=-80, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⪹⇑⪆40413↼⊘⨖⇑⪆23223∀⇚≩(⇑⪆101424⪕⇑⪆34104))⪍↜⋙(((⇑⪆14301⊬⨰⇑⪆22241)⊊)∖(⇑⪆21043⊀⩕)≃(⊆⋠⇑⪆23303))=NaN","reverse_text":"NaN=(⪹⇑⪆40413↼⊘⨖⇑⪆23223∀⇚≩(⇑⪆101424⪕⇑⪆34104))⪍↜⋙(((⇑⪆14301⊬⨰⇑⪆22241)⊊)∖(⇑⪆21043⊀⩕)≃(⊆⋠⇑⪆23303))","cot":[{"info":"⇑⪆40413↼⊘⨖⇑⪆23223=⇑⪆100104","layer":3},{"info":"⇑⪆101424⪕⇑⪆34104=⇑⪆131400","layer":3},{"info":"⇑⪆100104∀⇚≩⇑⪆131400=NaN","layer":2},{"info":"⪹NaN=NaN","layer":1},{"info":"⇑⪆14301⊬⨰⇑⪆22241=⇑⪆201204","layer":3},{"info":"⇑⪆201204⊊=⇑⪆10402202","layer":2},{"info":"⇑⪆21043⊀⩕=⇑⪆0","layer":3},{"info":"⊆⋠⇑⪆23303=⇑⪆0","layer":3},{"info":"⇑⪆0≃⇑⪆0=⇑⪆-310","layer":2},{"info":"⇑⪆10402202∖⇑⪆-310=⇑⪆0","layer":1},{"info":"NaN⪍↜⋙⇑⪆0=NaN","layer":0}]}
{"id":787,"expression_no_base_symbol":"⊤⊝($1223$≝⊿$2959$⫌⩉⩟$2023$⊭↱$7165$)⨭⪣(($2240$⋘⨑⨽)⪒$1483$⊋≦⊧$1170$)","expression":"⊤⊝(⇑⪆14343≝⊿⇑⪆43314⫌⩉⩟⇑⪆31043⊭↱⇑⪆212130)⨭⪣((⇑⪆32430⋘⨑⨽)⪒⇑⪆21413⊋≦⊧⇑⪆14140)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":59018,"operation_count":8,"complexity_ratio":7377.25,"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":1223,"base":5},"right_expr":{"type":"numeric_atoms","value":2959,"base":5}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2023,"base":5},"right_expr":{"type":"numeric_atoms","value":7165,"base":5}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":2240,"base":5}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1483,"base":5},"right_expr":{"type":"numeric_atoms","value":1170,"base":5}}}}},"used_operators":["rXAclfmB4M","kn8WO9XteQ","XIIwhv8d0m","OKKcZfAt5B","COABgblf1C","f6k1SAg4EE","WmT3o8z6ya","oRDoc9rAEX"],"dependent_operators":["sdazOOVcIp","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⇑⪆-24332","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1223","layer":4},{"info":"number node, value=2959","layer":4},{"info":"compute binary expreesion, left_input=1223, right_input=2959, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-7674","layer":3},{"info":"number node, value=2023","layer":4},{"info":"number node, value=7165","layer":4},{"info":"compute binary expreesion, left_input=2023, right_input=7165, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=10289","layer":3},{"info":"compute binary expreesion, left_input=-7674, right_input=10289, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=2240","layer":4},{"info":"compute unary expreesion, input=2240, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=11983","layer":3},{"info":"number node, value=1483","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=1170, 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=-2100","layer":3},{"info":"compute binary expreesion, left_input=11983, right_input=-2100, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9883","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=-9883, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-272","layer":1},{"info":"compute unary expreesion, input=-272, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-1842","layer":0}],"base":5,"result_base":5,"text":"⊤⊝(⇑⪆14343≝⊿⇑⪆43314⫌⩉⩟⇑⪆31043⊭↱⇑⪆212130)⨭⪣((⇑⪆32430⋘⨑⨽)⪒⇑⪆21413⊋≦⊧⇑⪆14140)=⇑⪆-24332","reverse_text":"⇑⪆-24332=⊤⊝(⇑⪆14343≝⊿⇑⪆43314⫌⩉⩟⇑⪆31043⊭↱⇑⪆212130)⨭⪣((⇑⪆32430⋘⨑⨽)⪒⇑⪆21413⊋≦⊧⇑⪆14140)","cot":[{"info":"⇑⪆14343≝⊿⇑⪆43314=⇑⪆-221144","layer":3},{"info":"⇑⪆31043⊭↱⇑⪆212130=⇑⪆312124","layer":3},{"info":"⇑⪆-221144⫌⩉⩟⇑⪆312124=⇑⪆-200","layer":2},{"info":"⇑⪆32430⋘⨑⨽=⇑⪆340413","layer":3},{"info":"⇑⪆21413⊋≦⊧⇑⪆14140=⇑⪆-31400","layer":3},{"info":"⇑⪆340413⪒⇑⪆-31400=⇑⪆-304013","layer":2},{"info":"⇑⪆-200⨭⪣⇑⪆-304013=⇑⪆-2042","layer":1},{"info":"⊤⊝⇑⪆-2042=⇑⪆-24332","layer":0}]}
{"id":788,"expression_no_base_symbol":"⫛⫱⨽((⊤⊝$1460$)∌($1384$⨔≚≋$1590$)⪶≀⋏(⇋↷($3134$⋩≍≻)))","expression":"⫛⫱⨽((⊤⊝⇑⪆21320)∌(⇑⪆21014⨔≚≋⇑⪆22330)⪶≀⋏(⇋↷(⇑⪆100014⋩≍≻)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1509,"operation_count":7,"complexity_ratio":215.57142857142858,"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":1460,"base":5}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1384,"base":5},"right_expr":{"type":"numeric_atoms","value":1590,"base":5}}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":3134,"base":5}}}}},"used_operators":["DlLNRPXxWL","zR4jO40bMj","8cLx32lpNA","rXAclfmB4M","Z57zeUYC9z","SWo3A1KBJH","WYd1w68Nbz"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","sdazOOVcIp","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1460","layer":4},{"info":"compute unary expreesion, input=1460, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1622","layer":3},{"info":"number node, value=1384","layer":4},{"info":"number node, value=1590","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=1590, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=1622, right_input=9872, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-9872","layer":2},{"info":"number node, value=3134","layer":4},{"info":"compute unary expreesion, input=3134, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute unary expreesion, input=-55, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-440","layer":2},{"info":"compute binary expreesion, left_input=-9872, right_input=-440, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-3520","layer":1},{"info":"compute unary expreesion, input=-3520, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":5,"result_base":5,"text":"⫛⫱⨽((⊤⊝⇑⪆21320)∌(⇑⪆21014⨔≚≋⇑⪆22330)⪶≀⋏(⇋↷(⇑⪆100014⋩≍≻)))=⇑⪆0","reverse_text":"⇑⪆0=⫛⫱⨽((⊤⊝⇑⪆21320)∌(⇑⪆21014⨔≚≋⇑⪆22330)⪶≀⋏(⇋↷(⇑⪆100014⋩≍≻)))","cot":[{"info":"⊤⊝⇑⪆21320=⇑⪆22442","layer":3},{"info":"⇑⪆21014⨔≚≋⇑⪆22330=⇑⪆303442","layer":3},{"info":"⇑⪆22442∌⇑⪆303442=⇑⪆-303442","layer":2},{"info":"⇑⪆100014⋩≍≻=⇑⪆-210","layer":3},{"info":"⇋↷⇑⪆-210=⇑⪆-3230","layer":2},{"info":"⇑⪆-303442⪶≀⋏⇑⪆-3230=⇑⪆-103040","layer":1},{"info":"⫛⫱⨽⇑⪆-103040=⇑⪆0","layer":0}]}
{"id":789,"expression_no_base_symbol":"(($1183$↬$2959$⨸⪁$2841$≓∲$2485$)∺≝⩲($1628$∓⋝$5546$⫉⨲⊜($2169$⩘$1366$)))⨜⨶(($1476$⊬⨰$3453$↙($5472$↙$1054$))⊢($2576$⇷$6605$⪛⫼($1494$∟)))","expression":"((⇑⪆14213↬⇑⪆43314⨸⪁⇑⪆42331≓∲⇑⪆34420)∺≝⩲(⇑⪆23003∓⋝⇑⪆134141⫉⨲⊜(⇑⪆32134⩘⇑⪆20431)))⨜⨶((⇑⪆21401⊬⨰⇑⪆102303↙(⇑⪆133342↙⇑⪆13204))⊢(⇑⪆40301⇷⇑⪆202410⪛⫼(⇑⪆21434∟)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":40967,"operation_count":15,"complexity_ratio":2731.133333333333,"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":1183,"base":5},"right_expr":{"type":"numeric_atoms","value":2959,"base":5}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2841,"base":5},"right_expr":{"type":"numeric_atoms","value":2485,"base":5}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1628,"base":5},"right_expr":{"type":"numeric_atoms","value":5546,"base":5}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2169,"base":5},"right_expr":{"type":"numeric_atoms","value":1366,"base":5}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1476,"base":5},"right_expr":{"type":"numeric_atoms","value":3453,"base":5}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5472,"base":5},"right_expr":{"type":"numeric_atoms","value":1054,"base":5}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2576,"base":5},"right_expr":{"type":"numeric_atoms","value":6605,"base":5}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":1494,"base":5}}}}},"used_operators":["HiPekx5b7W","KPf6cnQVty","g55IO6H4Gj","B5M0gjZbta","s1XTVnmDOJ","WhqkvtTD3t","PoHhknlbAi","cHh1gJQ2o6","5twsqlHp2o","yyfyN0ffXY","s3Fd5m9Dh2","hyuBjUqXlG","mp7IySMOzn","hTbEZDJLEm"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","rGHVDoGpnC","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eewbuw0ToL","zVYPLywUTj","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","tmPS8pqC7x","DpFCA1CohY","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T"],"result":"⇑⪆-12103123","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1183","layer":4},{"info":"number node, value=2959","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=2959, 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=2841","layer":4},{"info":"number node, value=2485","layer":4},{"info":"compute binary expreesion, left_input=2841, right_input=2485, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=29193","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=29193, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1628","layer":4},{"info":"number node, value=5546","layer":4},{"info":"compute binary expreesion, left_input=1628, right_input=5546, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=2169","layer":4},{"info":"number node, value=1366","layer":4},{"info":"compute binary expreesion, left_input=2169, right_input=1366, 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=67, right_input=160, 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=nan, right_input=0, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=1476","layer":4},{"info":"number node, value=3453","layer":4},{"info":"compute binary expreesion, left_input=1476, right_input=3453, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=14232","layer":3},{"info":"number node, value=5472","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=5472, right_input=1054, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3162","layer":3},{"info":"compute binary expreesion, left_input=14232, right_input=-3162, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=9486","layer":2},{"info":"number node, value=2576","layer":4},{"info":"number node, value=6605","layer":4},{"info":"compute binary expreesion, left_input=2576, right_input=6605, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13210","layer":3},{"info":"number node, value=1494","layer":4},{"info":"compute unary expreesion, input=1494, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=13210, 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":"compute binary expreesion, left_input=9486, right_input=968, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-19216","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-19216, 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=-112913","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆14213↬⇑⪆43314⨸⪁⇑⪆42331≓∲⇑⪆34420)∺≝⩲(⇑⪆23003∓⋝⇑⪆134141⫉⨲⊜(⇑⪆32134⩘⇑⪆20431)))⨜⨶((⇑⪆21401⊬⨰⇑⪆102303↙(⇑⪆133342↙⇑⪆13204))⊢(⇑⪆40301⇷⇑⪆202410⪛⫼(⇑⪆21434∟)))=⇑⪆-12103123","reverse_text":"⇑⪆-12103123=((⇑⪆14213↬⇑⪆43314⨸⪁⇑⪆42331≓∲⇑⪆34420)∺≝⩲(⇑⪆23003∓⋝⇑⪆134141⫉⨲⊜(⇑⪆32134⩘⇑⪆20431)))⨜⨶((⇑⪆21401⊬⨰⇑⪆102303↙(⇑⪆133342↙⇑⪆13204))⊢(⇑⪆40301⇷⇑⪆202410⪛⫼(⇑⪆21434∟)))","cot":[{"info":"⇑⪆14213↬⇑⪆43314=NaN","layer":3},{"info":"⇑⪆42331≓∲⇑⪆34420=⇑⪆1413233","layer":3},{"info":"NaN⨸⪁⇑⪆1413233=NaN","layer":2},{"info":"⇑⪆23003∓⋝⇑⪆134141=⇑⪆232","layer":3},{"info":"⇑⪆32134⩘⇑⪆20431=⇑⪆1120","layer":3},{"info":"⇑⪆232⫉⨲⊜⇑⪆1120=⇑⪆0","layer":2},{"info":"NaN∺≝⩲⇑⪆0=⇑⪆1120","layer":1},{"info":"⇑⪆21401⊬⨰⇑⪆102303=⇑⪆423412","layer":3},{"info":"⇑⪆133342↙⇑⪆13204=⇑⪆-100122","layer":3},{"info":"⇑⪆423412↙⇑⪆-100122=⇑⪆300421","layer":2},{"info":"⇑⪆40301⇷⇑⪆202410=⇑⪆410320","layer":3},{"info":"⇑⪆21434∟=⇑⪆423","layer":3},{"info":"⇑⪆410320⪛⫼⇑⪆423=⇑⪆12333","layer":2},{"info":"⇑⪆300421⊢⇑⪆12333=⇑⪆-1103331","layer":1},{"info":"⇑⪆1120⨜⨶⇑⪆-1103331=⇑⪆-12103123","layer":0}]}
{"id":790,"expression_no_base_symbol":"(($3110$⫸⇳$1899$)⫉⨲⊜($2152$⊋≦⊧$2452$))∊∟⩊(($1151$∙∹∝$1134$)∌($3117$⨁⊸⫻))≥⨤⩑(($1533$⨳⩥⨓$8271$)↳≱(⊬↢$1253$)⩹(($2465$⪪$4411$)⪷))","expression":"((⇑⪆44420⫸⇳⇑⪆30044)⫉⨲⊜(⇑⪆32102⊋≦⊧⇑⪆34302))∊∟⩊((⇑⪆14101∙∹∝⇑⪆14014)∌(⇑⪆44432⨁⊸⫻))≥⨤⩑((⇑⪆22113⨳⩥⨓⇑⪆231041)↳≱(⊬↢⇑⪆20003)⩹((⇑⪆34330⪪⇑⪆120121)⪷))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":377280,"operation_count":14,"complexity_ratio":26948.571428571428,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3110,"base":5},"right_expr":{"type":"numeric_atoms","value":1899,"base":5}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2152,"base":5},"right_expr":{"type":"numeric_atoms","value":2452,"base":5}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1151,"base":5},"right_expr":{"type":"numeric_atoms","value":1134,"base":5}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3117,"base":5}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1533,"base":5},"right_expr":{"type":"numeric_atoms","value":8271,"base":5}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1253,"base":5}}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2465,"base":5},"right_expr":{"type":"numeric_atoms","value":4411,"base":5}}}}},"used_operators":["gJLn6v0xnP","ddLRYrp01A","WhqkvtTD3t","gx7XJ7hdpj","oRDoc9rAEX","8cLx32lpNA","HmxsFra2vL","glklzrTFfD","2Wsdkap16l","JwTKLfZU96","nCS4ZIUYfx","WPoGxAaPR1","Qctrpi3WzA","xD69zh8xqp"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eewbuw0ToL","zVYPLywUTj","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","rysDP5nf3Z","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","Nsiff2A1zJ","FU0Cs4j7VP","JclMnS0uGI"],"result":"⇑⪆14414","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3110","layer":4},{"info":"number node, value=1899","layer":4},{"info":"compute binary expreesion, left_input=3110, right_input=1899, 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=2152","layer":4},{"info":"number node, value=2452","layer":4},{"info":"compute binary expreesion, left_input=2152, right_input=2452, 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=-4364","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4364, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-4474","layer":2},{"info":"number node, value=1151","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=1134, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3117","layer":4},{"info":"compute unary expreesion, input=3117, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3117","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3117, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3117","layer":2},{"info":"compute binary expreesion, left_input=-4474, right_input=-3117, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-3117","layer":1},{"info":"number node, value=1533","layer":4},{"info":"number node, value=8271","layer":4},{"info":"compute binary expreesion, left_input=1533, right_input=8271, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6738","layer":3},{"info":"number node, value=1253","layer":4},{"info":"compute unary expreesion, input=1253, 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=6738, right_input=218, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=2465","layer":4},{"info":"number node, value=4411","layer":4},{"info":"compute binary expreesion, left_input=2465, right_input=4411, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-368304","layer":3},{"info":"compute unary expreesion, input=-368304, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3117, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆44420⫸⇳⇑⪆30044)⫉⨲⊜(⇑⪆32102⊋≦⊧⇑⪆34302))∊∟⩊((⇑⪆14101∙∹∝⇑⪆14014)∌(⇑⪆44432⨁⊸⫻))≥⨤⩑((⇑⪆22113⨳⩥⨓⇑⪆231041)↳≱(⊬↢⇑⪆20003)⩹((⇑⪆34330⪪⇑⪆120121)⪷))=⇑⪆14414","reverse_text":"⇑⪆14414=((⇑⪆44420⫸⇳⇑⪆30044)⫉⨲⊜(⇑⪆32102⊋≦⊧⇑⪆34302))∊∟⩊((⇑⪆14101∙∹∝⇑⪆14014)∌(⇑⪆44432⨁⊸⫻))≥⨤⩑((⇑⪆22113⨳⩥⨓⇑⪆231041)↳≱(⊬↢⇑⪆20003)⩹((⇑⪆34330⪪⇑⪆120121)⪷))","cot":[{"info":"⇑⪆44420⫸⇳⇑⪆30044=⇑⪆0","layer":3},{"info":"⇑⪆32102⊋≦⊧⇑⪆34302=⇑⪆-114424","layer":3},{"info":"⇑⪆0⫉⨲⊜⇑⪆-114424=⇑⪆-120344","layer":2},{"info":"⇑⪆14101∙∹∝⇑⪆14014=⇑⪆0","layer":3},{"info":"⇑⪆44432⨁⊸⫻=⇑⪆44432","layer":3},{"info":"⇑⪆0∌⇑⪆44432=⇑⪆-44432","layer":2},{"info":"⇑⪆-120344∊∟⩊⇑⪆-44432=⇑⪆-44432","layer":1},{"info":"⇑⪆22113⨳⩥⨓⇑⪆231041=⇑⪆203423","layer":3},{"info":"⊬↢⇑⪆20003=⇑⪆1333","layer":3},{"info":"⇑⪆203423↳≱⇑⪆1333=⇑⪆0","layer":2},{"info":"⇑⪆34330⪪⇑⪆120121=⇑⪆-43241204","layer":3},{"info":"⇑⪆-43241204⪷=NaN","layer":2},{"info":"⇑⪆0⩹NaN=NaN","layer":1},{"info":"⇑⪆-44432≥⨤⩑NaN=⇑⪆14414","layer":0}]}
{"id":791,"expression_no_base_symbol":"((⩎⋉$2367$)⇋≉)⇂≾⫗(($2686$⊉≛↸$1596$)↺$1046$⋹⋡⊁$1982$)⋾⨃∁($1427$⫸⊐$7582$)⪚($3320$⩢≌)≄⊠(($2104$+⇶⊼$4049$)≧⫂∧$1329$↹⊜$2296$)","expression":"((⩎⋉⇑⪆33432)⇋≉)⇂≾⫗((⇑⪆41221⊉≛↸⇑⪆22341)↺⇑⪆13141⋹⋡⊁⇑⪆30412)⋾⨃∁(⇑⪆21202⫸⊐⇑⪆220312)⪚(⇑⪆101240⩢≌)≄⊠((⇑⪆31404+⇶⊼⇑⪆112144)≧⫂∧⇑⪆20304↹⊜⇑⪆33141)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":64586,"operation_count":14,"complexity_ratio":4613.285714285715,"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":2367,"base":5}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2686,"base":5},"right_expr":{"type":"numeric_atoms","value":1596,"base":5}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1046,"base":5},"right_expr":{"type":"numeric_atoms","value":1982,"base":5}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1427,"base":5},"right_expr":{"type":"numeric_atoms","value":7582,"base":5}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":3320,"base":5}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2104,"base":5},"right_expr":{"type":"numeric_atoms","value":4049,"base":5}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1329,"base":5},"right_expr":{"type":"numeric_atoms","value":2296,"base":5}}}}},"used_operators":["212REbPD9h","aBQ6xLxuTc","XIabStNQrY","FlXk3pOYe8","7j4O788W3g","DZ8iAZOCBD","As8RqfVLgs","vXNesLlMH1","HrjLwUk87U","mqXw5SEYmG","D617RFjZIq","Ph9nP6C5qx","TpPTUOHfaN","9bazX3JMtO"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","rysDP5nf3Z","t8gj7n24qd","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","hTbEZDJLEm","o20kRiQErp","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"⇑⪆21223410111","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2367","layer":4},{"info":"compute unary expreesion, input=2367, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3202","layer":2},{"info":"number node, value=2686","layer":4},{"info":"number node, value=1596","layer":4},{"info":"compute binary expreesion, left_input=2686, right_input=1596, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5372","layer":3},{"info":"number node, value=1046","layer":4},{"info":"number node, value=1982","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=1982, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2732","layer":3},{"info":"compute binary expreesion, left_input=5372, right_input=2732, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2732","layer":2},{"info":"compute binary expreesion, left_input=3202, right_input=2732, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"number node, value=1427","layer":4},{"info":"number node, value=7582","layer":4},{"info":"compute binary expreesion, left_input=1427, right_input=7582, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=30203","layer":3},{"info":"number node, value=3320","layer":4},{"info":"compute unary expreesion, input=3320, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=30203, right_input=113, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=59824","layer":2},{"info":"number node, value=2104","layer":4},{"info":"number node, value=4049","layer":4},{"info":"compute binary expreesion, left_input=2104, right_input=4049, 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=1329","layer":4},{"info":"number node, value=2296","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=2296, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-6622","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6622, 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=59824, 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 binary expreesion, left_input=-676, right_input=1500, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=22481906","layer":0}],"base":5,"result_base":5,"text":"((⩎⋉⇑⪆33432)⇋≉)⇂≾⫗((⇑⪆41221⊉≛↸⇑⪆22341)↺⇑⪆13141⋹⋡⊁⇑⪆30412)⋾⨃∁(⇑⪆21202⫸⊐⇑⪆220312)⪚(⇑⪆101240⩢≌)≄⊠((⇑⪆31404+⇶⊼⇑⪆112144)≧⫂∧⇑⪆20304↹⊜⇑⪆33141)=⇑⪆21223410111","reverse_text":"⇑⪆21223410111=((⩎⋉⇑⪆33432)⇋≉)⇂≾⫗((⇑⪆41221⊉≛↸⇑⪆22341)↺⇑⪆13141⋹⋡⊁⇑⪆30412)⋾⨃∁(⇑⪆21202⫸⊐⇑⪆220312)⪚(⇑⪆101240⩢≌)≄⊠((⇑⪆31404+⇶⊼⇑⪆112144)≧⫂∧⇑⪆20304↹⊜⇑⪆33141)","cot":[{"info":"⩎⋉⇑⪆33432=⇑⪆23100","layer":3},{"info":"⇑⪆23100⇋≉=⇑⪆100302","layer":2},{"info":"⇑⪆41221⊉≛↸⇑⪆22341=⇑⪆132442","layer":3},{"info":"⇑⪆13141⋹⋡⊁⇑⪆30412=⇑⪆41412","layer":3},{"info":"⇑⪆132442↺⇑⪆41412=⇑⪆41412","layer":2},{"info":"⇑⪆100302⇂≾⫗⇑⪆41412=⇑⪆-10201","layer":1},{"info":"⇑⪆21202⫸⊐⇑⪆220312=⇑⪆1431303","layer":3},{"info":"⇑⪆101240⩢≌=⇑⪆423","layer":3},{"info":"⇑⪆1431303⪚⇑⪆423=⇑⪆3403244","layer":2},{"info":"⇑⪆31404+⇶⊼⇑⪆112144=NaN","layer":3},{"info":"⇑⪆20304↹⊜⇑⪆33141=⇑⪆-202442","layer":3},{"info":"NaN≧⫂∧⇑⪆-202442=NaN","layer":2},{"info":"⇑⪆3403244≄⊠NaN=⇑⪆22000","layer":1},{"info":"⇑⪆-10201⋾⨃∁⇑⪆22000=⇑⪆21223410111","layer":0}]}
{"id":792,"expression_no_base_symbol":"≸≮((∨∊⋏($3316$⨐⩸⫘$1796$))⫡⨏(∤$1764$)⪉⨛($2574$⊍⩺⋍$1019$))","expression":"≸≮((∨∊⋏(⇑⪆101231⨐⩸⫘⇑⪆24141))⫡⨏(∤⇑⪆24024)⪉⨛(⇑⪆40244⊍⩺⋍⇑⪆13034))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":321,"operation_count":7,"complexity_ratio":45.857142857142854,"tree":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3316,"base":5},"right_expr":{"type":"numeric_atoms","value":1796,"base":5}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1764,"base":5}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2574,"base":5},"right_expr":{"type":"numeric_atoms","value":1019,"base":5}}}}},"used_operators":["AljMvE3RRm","QMFrweE19q","R5aXW34M0v","fu6greOZ01","EWw2JM7wp4","k2HlF1dBQh","OXDGMFPWZM"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","3ViojmjbAp","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=3316","layer":4},{"info":"number node, value=1796","layer":4},{"info":"compute binary expreesion, left_input=3316, 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 = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=nan","layer":2},{"info":"number node, value=1764","layer":4},{"info":"compute unary expreesion, input=1764, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=2574","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=2574, right_input=1019, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=nan, 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=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":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":5,"result_base":5,"text":"≸≮((∨∊⋏(⇑⪆101231⨐⩸⫘⇑⪆24141))⫡⨏(∤⇑⪆24024)⪉⨛(⇑⪆40244⊍⩺⋍⇑⪆13034))=NaN","reverse_text":"NaN=≸≮((∨∊⋏(⇑⪆101231⨐⩸⫘⇑⪆24141))⫡⨏(∤⇑⪆24024)⪉⨛(⇑⪆40244⊍⩺⋍⇑⪆13034))","cot":[{"info":"⇑⪆101231⨐⩸⫘⇑⪆24141=NaN","layer":3},{"info":"∨∊⋏NaN=NaN","layer":2},{"info":"∤⇑⪆24024=⇑⪆14","layer":3},{"info":"⇑⪆40244⊍⩺⋍⇑⪆13034=NaN","layer":3},{"info":"⇑⪆14⪉⨛NaN=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"≸≮NaN=NaN","layer":0}]}
{"id":793,"expression_no_base_symbol":"(((⩒∊$6289$)↱($3453$⫃⨇$1367$))⊦⊿)∀⇚≩((⨦⪝$1825$)⊴$1186$⪟⇏$1269$⨰$4035$↢$3972$⨚⇆$2286$⇻⋧≁$4068$)","expression":"(((⩒∊⇑⪆200124)↱(⇑⪆102303⫃⨇⇑⪆20432))⊦⊿)∀⇚≩((⨦⪝⇑⪆24300)⊴⇑⪆14221⪟⇏⇑⪆20034⨰⇑⪆112120↢⇑⪆111342⨚⇆⇑⪆33121⇻⋧≁⇑⪆112233)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":631138,"operation_count":12,"complexity_ratio":52594.833333333336,"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":6289,"base":5}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":3453,"base":5},"right_expr":{"type":"numeric_atoms","value":1367,"base":5}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1825,"base":5}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1186,"base":5},"right_expr":{"type":"numeric_atoms","value":1269,"base":5}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":4035,"base":5},"right_expr":{"type":"numeric_atoms","value":3972,"base":5}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2286,"base":5},"right_expr":{"type":"numeric_atoms","value":4068,"base":5}}}}},"used_operators":["LRNGc0VcxI","14qkJME0vr","SR5kFfdi6N","qazvmhNBbN","09Ly4LVMIf","eewbuw0ToL","Nsiff2A1zJ","SUjycxNXIR","GODebY97qR","lwHaAYXP2r","WR6HLWljOP","jCPkEVoL5K"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6289","layer":4},{"info":"compute unary expreesion, input=6289, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=11821","layer":3},{"info":"number node, value=3453","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=3453, right_input=1367, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-5500","layer":3},{"info":"compute binary expreesion, left_input=11821, right_input=-5500, 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=-28688","layer":2},{"info":"compute unary expreesion, input=-28688, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=85985","layer":1},{"info":"number node, value=1825","layer":4},{"info":"compute unary expreesion, input=1825, 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=1186","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=1269, 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=-1884, right_input=-1, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"number node, value=4035","layer":4},{"info":"number node, value=3972","layer":4},{"info":"compute binary expreesion, left_input=4035, right_input=3972, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=3551","layer":3},{"info":"number node, value=2286","layer":4},{"info":"number node, value=4068","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=4068, 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=3551, right_input=-447, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-79, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=85985, 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":5,"result_base":5,"text":"(((⩒∊⇑⪆200124)↱(⇑⪆102303⫃⨇⇑⪆20432))⊦⊿)∀⇚≩((⨦⪝⇑⪆24300)⊴⇑⪆14221⪟⇏⇑⪆20034⨰⇑⪆112120↢⇑⪆111342⨚⇆⇑⪆33121⇻⋧≁⇑⪆112233)=NaN","reverse_text":"NaN=(((⩒∊⇑⪆200124)↱(⇑⪆102303⫃⨇⇑⪆20432))⊦⊿)∀⇚≩((⨦⪝⇑⪆24300)⊴⇑⪆14221⪟⇏⇑⪆20034⨰⇑⪆112120↢⇑⪆111342⨚⇆⇑⪆33121⇻⋧≁⇑⪆112233)","cot":[{"info":"⩒∊⇑⪆200124=⇑⪆334241","layer":3},{"info":"⇑⪆102303⫃⨇⇑⪆20432=⇑⪆-134000","layer":3},{"info":"⇑⪆334241↱⇑⪆-134000=⇑⪆-1404223","layer":2},{"info":"⇑⪆-1404223⊦⊿=⇑⪆10222420","layer":1},{"info":"⨦⪝⇑⪆24300=⇑⪆-30014","layer":3},{"info":"⇑⪆14221⪟⇏⇑⪆20034=⇑⪆-1","layer":3},{"info":"⇑⪆-30014⊴⇑⪆-1=⇑⪆-304","layer":2},{"info":"⇑⪆112120↢⇑⪆111342=⇑⪆103201","layer":3},{"info":"⇑⪆33121⇻⋧≁⇑⪆112233=⇑⪆-3242","layer":3},{"info":"⇑⪆103201⨚⇆⇑⪆-3242=NaN","layer":2},{"info":"⇑⪆-304⨰NaN=NaN","layer":1},{"info":"⇑⪆10222420∀⇚≩NaN=NaN","layer":0}]}
{"id":794,"expression_no_base_symbol":"⋂((↞≼(⋼∭⪍$1734$))⇌⫙⪟(⨙⪌($5042$⇷$1420$)))","expression":"⋂((↞≼(⋼∭⪍⇑⪆23414))⇌⫙⪟(⨙⪌(⇑⪆130132⇷⇑⪆21140)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":71560,"operation_count":6,"complexity_ratio":11926.666666666666,"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":1734,"base":5}}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5042,"base":5},"right_expr":{"type":"numeric_atoms","value":1420,"base":5}}}}},"used_operators":["BUOGQAYlQx","AFVx7xoS7T","DE7zCoGJt9","DbCuESL50I","vEGLkm4Z2k","mp7IySMOzn"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⇑⪆-12421","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1734","layer":4},{"info":"compute unary expreesion, input=1734, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-5196","layer":3},{"info":"compute unary expreesion, input=-5196, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-41982","layer":2},{"info":"number node, value=5042","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=5042, right_input=1420, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2840","layer":3},{"info":"compute unary expreesion, input=2840, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-41982, right_input=868, 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 = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-986","layer":0}],"base":5,"result_base":5,"text":"⋂((↞≼(⋼∭⪍⇑⪆23414))⇌⫙⪟(⨙⪌(⇑⪆130132⇷⇑⪆21140)))=⇑⪆-12421","reverse_text":"⇑⪆-12421=⋂((↞≼(⋼∭⪍⇑⪆23414))⇌⫙⪟(⨙⪌(⇑⪆130132⇷⇑⪆21140)))","cot":[{"info":"⋼∭⪍⇑⪆23414=⇑⪆-131241","layer":3},{"info":"↞≼⇑⪆-131241=⇑⪆-2320412","layer":2},{"info":"⇑⪆130132⇷⇑⪆21140=⇑⪆42330","layer":3},{"info":"⨙⪌⇑⪆42330=⇑⪆11433","layer":2},{"info":"⇑⪆-2320412⇌⫙⪟⇑⪆11433=⇑⪆423","layer":1},{"info":"⋂⇑⪆423=⇑⪆-12421","layer":0}]}
{"id":795,"expression_no_base_symbol":"(⨮↦↱(↔$4905$))∇⊂⋱($3591$∼$1029$)∊∟⩊($1971$↡⊰⫅$1825$)⪘⫢((⊢≑≆$1618$)≬⇓(⨈⫕$3451$)⪄(⊙↵-$4848$∋$1091$))","expression":"(⨮↦↱(↔⇑⪆124110))∇⊂⋱(⇑⪆103331∼⇑⪆13104)∊∟⩊(⇑⪆30341↡⊰⫅⇑⪆24300)⪘⫢((⊢≑≆⇑⪆22433)≬⇓(⨈⫕⇑⪆102301)⪄(⊙↵-⇑⪆123343∋⇑⪆13331))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":26322,"operation_count":13,"complexity_ratio":2024.7692307692307,"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":4905,"base":5}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3591,"base":5},"right_expr":{"type":"numeric_atoms","value":1029,"base":5}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1971,"base":5},"right_expr":{"type":"numeric_atoms","value":1825,"base":5}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1618,"base":5}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3451,"base":5}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":4848,"base":5},"right_expr":{"type":"numeric_atoms","value":1091,"base":5}}}}},"used_operators":["oacrs7FA3X","nhYeJWJD5X","sYcpBQ0cFf","ruOEQAzv1W","ddLRYrp01A","DyGG3AbaNP","VCtxkLNOzz","SUmda5xLS4","jWTQ2TZYIH","27wFxooxGf","megm06wKyl","oWn0xqSxBt","ukq6epAj5P"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"⇑⪆24334202","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4905","layer":4},{"info":"compute unary expreesion, input=4905, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4632","layer":3},{"info":"compute unary expreesion, input=-4632, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=57942","layer":2},{"info":"number node, value=3591","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=3591, right_input=1029, 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=1971","layer":4},{"info":"number node, value=1825","layer":4},{"info":"compute binary expreesion, left_input=1971, right_input=1825, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3650","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3650, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3650","layer":2},{"info":"compute binary expreesion, left_input=57942, right_input=3650, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=115338","layer":1},{"info":"number node, value=1618","layer":4},{"info":"compute unary expreesion, input=1618, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=6924","layer":3},{"info":"number node, value=3451","layer":4},{"info":"compute unary expreesion, input=3451, 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=6924, right_input=-21, 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=4848","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=4848, right_input=1091, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2458976","layer":3},{"info":"compute unary expreesion, input=2458976, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=-1, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=115338, right_input=3979, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=230552","layer":0}],"base":5,"result_base":5,"text":"(⨮↦↱(↔⇑⪆124110))∇⊂⋱(⇑⪆103331∼⇑⪆13104)∊∟⩊(⇑⪆30341↡⊰⫅⇑⪆24300)⪘⫢((⊢≑≆⇑⪆22433)≬⇓(⨈⫕⇑⪆102301)⪄(⊙↵-⇑⪆123343∋⇑⪆13331))=⇑⪆24334202","reverse_text":"⇑⪆24334202=(⨮↦↱(↔⇑⪆124110))∇⊂⋱(⇑⪆103331∼⇑⪆13104)∊∟⩊(⇑⪆30341↡⊰⫅⇑⪆24300)⪘⫢((⊢≑≆⇑⪆22433)≬⇓(⨈⫕⇑⪆102301)⪄(⊙↵-⇑⪆123343∋⇑⪆13331))","cot":[{"info":"↔⇑⪆124110=⇑⪆-122012","layer":3},{"info":"⨮↦↱⇑⪆-122012=⇑⪆3323232","layer":2},{"info":"⇑⪆103331∼⇑⪆13104=NaN","layer":3},{"info":"⇑⪆30341↡⊰⫅⇑⪆24300=⇑⪆104100","layer":3},{"info":"NaN∊∟⩊⇑⪆104100=⇑⪆104100","layer":2},{"info":"⇑⪆3323232∇⊂⋱⇑⪆104100=⇑⪆12142323","layer":1},{"info":"⊢≑≆⇑⪆22433=⇑⪆210144","layer":3},{"info":"⨈⫕⇑⪆102301=⇑⪆-41","layer":3},{"info":"⇑⪆210144≬⇓⇑⪆-41=⇑⪆-42","layer":2},{"info":"⇑⪆123343∋⇑⪆13331=⇑⪆1112141401","layer":3},{"info":"⊙↵-⇑⪆1112141401=⇑⪆-1","layer":2},{"info":"⇑⪆-42⪄⇑⪆-1=⇑⪆111404","layer":1},{"info":"⇑⪆12142323⪘⫢⇑⪆111404=⇑⪆24334202","layer":0}]}
{"id":796,"expression_no_base_symbol":"((↘($1618$⨳⩥⨓$1977$))⨵⪆(($3107$⫿)↰))∌↝(⊢≑≆($2431$⪨≂$6384$)⊕∕($1600$⪮%⊝$2017$))","expression":"((↘(⇑⪆22433⨳⩥⨓⇑⪆30402))⨵⪆((⇑⪆44412⫿)↰))∌↝(⊢≑≆(⇑⪆34211⪨≂⇑⪆201014)⊕∕(⇑⪆22400⪮%⊝⇑⪆31032))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":57,"operation_count":10,"complexity_ratio":5.7,"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":1618,"base":5},"right_expr":{"type":"numeric_atoms","value":1977,"base":5}}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":3107,"base":5}}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2431,"base":5},"right_expr":{"type":"numeric_atoms","value":6384,"base":5}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1600,"base":5},"right_expr":{"type":"numeric_atoms","value":2017,"base":5}}}}},"used_operators":["9Isq31Ruls","2DQ55sFlQl","LdNpr8hQHL","nCS4ZIUYfx","bl5wxAcryP","9tKT6PmtkH","27wFxooxGf","9cloC0Ngie","sdazOOVcIp","IWmyXbctLI"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","uFcxV4UQCh","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","Z2TMIBDE3Q","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⇑⪆-3004103","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1618","layer":4},{"info":"number node, value=1977","layer":4},{"info":"compute binary expreesion, left_input=1618, right_input=1977, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=359","layer":3},{"info":"compute unary expreesion, input=359, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=359","layer":2},{"info":"number node, value=3107","layer":4},{"info":"compute unary expreesion, input=3107, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=3107","layer":3},{"info":"compute unary expreesion, input=3107, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=3006","layer":2},{"info":"compute binary expreesion, left_input=359, right_input=3006, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2431","layer":4},{"info":"number node, value=6384","layer":4},{"info":"compute binary expreesion, left_input=2431, right_input=6384, 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=-7804","layer":3},{"info":"number node, value=1600","layer":4},{"info":"number node, value=2017","layer":4},{"info":"compute binary expreesion, left_input=1600, right_input=2017, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3516","layer":3},{"info":"compute binary expreesion, left_input=-7804, right_input=3516, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-7804","layer":2},{"info":"compute unary expreesion, input=-7804, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=15801","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=15801, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-47403","layer":0}],"base":5,"result_base":5,"text":"((↘(⇑⪆22433⨳⩥⨓⇑⪆30402))⨵⪆((⇑⪆44412⫿)↰))∌↝(⊢≑≆(⇑⪆34211⪨≂⇑⪆201014)⊕∕(⇑⪆22400⪮%⊝⇑⪆31032))=⇑⪆-3004103","reverse_text":"⇑⪆-3004103=((↘(⇑⪆22433⨳⩥⨓⇑⪆30402))⨵⪆((⇑⪆44412⫿)↰))∌↝(⊢≑≆(⇑⪆34211⪨≂⇑⪆201014)⊕∕(⇑⪆22400⪮%⊝⇑⪆31032))","cot":[{"info":"⇑⪆22433⨳⩥⨓⇑⪆30402=⇑⪆2414","layer":3},{"info":"↘⇑⪆2414=⇑⪆2414","layer":2},{"info":"⇑⪆44412⫿=⇑⪆44412","layer":3},{"info":"⇑⪆44412↰=⇑⪆44011","layer":2},{"info":"⇑⪆2414⨵⪆⇑⪆44011=⇑⪆1120","layer":1},{"info":"⇑⪆34211⪨≂⇑⪆201014=⇑⪆-222204","layer":3},{"info":"⇑⪆22400⪮%⊝⇑⪆31032=⇑⪆103031","layer":3},{"info":"⇑⪆-222204⊕∕⇑⪆103031=⇑⪆-222204","layer":2},{"info":"⊢≑≆⇑⪆-222204=⇑⪆1001201","layer":1},{"info":"⇑⪆1120∌↝⇑⪆1001201=⇑⪆-3004103","layer":0}]}
{"id":797,"expression_no_base_symbol":"(⇙⪊($2807$⩧⪆$1485$⇼⇔∾(∂$3038$)))⋛((∓($2659$⪄$2416$))≃(($3349$⋥≓≎$1921$)⩤))","expression":"(⇙⪊(⇑⪆42212⩧⪆⇑⪆21420⇼⇔∾(∂⇑⪆44123)))⋛((∓(⇑⪆41114⪄⇑⪆34131))≃((⇑⪆101344⋥≓≎⇑⪆30141)⩤))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":407,"operation_count":10,"complexity_ratio":40.7,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2807,"base":5},"right_expr":{"type":"numeric_atoms","value":1485,"base":5}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3038,"base":5}}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2659,"base":5},"right_expr":{"type":"numeric_atoms","value":2416,"base":5}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3349,"base":5},"right_expr":{"type":"numeric_atoms","value":1921,"base":5}}}}},"used_operators":["YbUVn0Rbpy","pB6Fcnrjim","tifHPKVTfV","Ikt5ks8PT7","Uaa54Peajs","YbVcJGFEVW","OwUj7dcsQK","SUmda5xLS4","Z2TMIBDE3Q","Qy55tPpLXF"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2807","layer":4},{"info":"number node, value=1485","layer":4},{"info":"compute binary expreesion, left_input=2807, right_input=1485, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1485","layer":3},{"info":"number node, value=3038","layer":4},{"info":"compute unary expreesion, input=3038, 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=-1485, 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 = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=2659","layer":4},{"info":"number node, value=2416","layer":4},{"info":"compute binary expreesion, left_input=2659, right_input=2416, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-399285","layer":3},{"info":"compute unary expreesion, input=-399285, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=5984403","layer":2},{"info":"number node, value=3349","layer":4},{"info":"number node, value=1921","layer":4},{"info":"compute binary expreesion, left_input=3349, right_input=1921, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=526","layer":3},{"info":"compute unary expreesion, input=526, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=5984403, right_input=-526, 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=2064","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2064, 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":5,"result_base":5,"text":"(⇙⪊(⇑⪆42212⩧⪆⇑⪆21420⇼⇔∾(∂⇑⪆44123)))⋛((∓(⇑⪆41114⪄⇑⪆34131))≃((⇑⪆101344⋥≓≎⇑⪆30141)⩤))=NaN","reverse_text":"NaN=(⇙⪊(⇑⪆42212⩧⪆⇑⪆21420⇼⇔∾(∂⇑⪆44123)))⋛((∓(⇑⪆41114⪄⇑⪆34131))≃((⇑⪆101344⋥≓≎⇑⪆30141)⩤))","cot":[{"info":"⇑⪆42212⩧⪆⇑⪆21420=⇑⪆-21420","layer":3},{"info":"∂⇑⪆44123=NaN","layer":3},{"info":"⇑⪆-21420⇼⇔∾NaN=NaN","layer":2},{"info":"⇙⪊NaN=NaN","layer":1},{"info":"⇑⪆41114⪄⇑⪆34131=⇑⪆-100234120","layer":3},{"info":"∓⇑⪆-100234120=⇑⪆3013000103","layer":2},{"info":"⇑⪆101344⋥≓≎⇑⪆30141=⇑⪆4101","layer":3},{"info":"⇑⪆4101⩤=⇑⪆-4101","layer":2},{"info":"⇑⪆3013000103≃⇑⪆-4101=⇑⪆31224","layer":1},{"info":"NaN⋛⇑⪆31224=NaN","layer":0}]}
{"id":798,"expression_no_base_symbol":"⊑((($5509$⫸⊐$1518$)⇽⩪)⫡⨏($5655$⫉⨲⊜$3868$)≁($2933$⊋$2305$))","expression":"⊑(((⇑⪆134014⫸⊐⇑⪆22033)⇽⩪)⫡⨏(⇑⪆140110⫉⨲⊜⇑⪆110433)≁(⇑⪆43213⊋⇑⪆33210))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1868,"operation_count":7,"complexity_ratio":266.85714285714283,"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":5509,"base":5},"right_expr":{"type":"numeric_atoms","value":1518,"base":5}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":5655,"base":5},"right_expr":{"type":"numeric_atoms","value":3868,"base":5}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2933,"base":5},"right_expr":{"type":"numeric_atoms","value":2305,"base":5}}}}},"used_operators":["IkUmn0D7oy","QMFrweE19q","FonBHBYJbU","mqXw5SEYmG","8N2wDY1A35","WhqkvtTD3t","W4tP9CfskL"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eewbuw0ToL","zVYPLywUTj","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⇑⪆1232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5509","layer":4},{"info":"number node, value=1518","layer":4},{"info":"compute binary expreesion, left_input=5509, right_input=1518, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5947","layer":3},{"info":"compute unary expreesion, input=5947, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=12416","layer":2},{"info":"number node, value=5655","layer":4},{"info":"number node, value=3868","layer":4},{"info":"compute binary expreesion, left_input=5655, right_input=3868, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=2933","layer":4},{"info":"number node, value=2305","layer":4},{"info":"compute binary expreesion, left_input=2933, right_input=2305, 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=11869932","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=11869932, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12416, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":5,"result_base":5,"text":"⊑(((⇑⪆134014⫸⊐⇑⪆22033)⇽⩪)⫡⨏(⇑⪆140110⫉⨲⊜⇑⪆110433)≁(⇑⪆43213⊋⇑⪆33210))=⇑⪆1232","reverse_text":"⇑⪆1232=⊑(((⇑⪆134014⫸⊐⇑⪆22033)⇽⩪)⫡⨏(⇑⪆140110⫉⨲⊜⇑⪆110433)≁(⇑⪆43213⊋⇑⪆33210))","cot":[{"info":"⇑⪆134014⫸⊐⇑⪆22033=⇑⪆142242","layer":3},{"info":"⇑⪆142242⇽⩪=⇑⪆344131","layer":2},{"info":"⇑⪆140110⫉⨲⊜⇑⪆110433=⇑⪆0","layer":3},{"info":"⇑⪆43213⊋⇑⪆33210=⇑⪆11014314212","layer":3},{"info":"⇑⪆0≁⇑⪆11014314212=NaN","layer":2},{"info":"⇑⪆344131⫡⨏NaN=NaN","layer":1},{"info":"⊑NaN=⇑⪆1232","layer":0}]}
{"id":799,"expression_no_base_symbol":"⨞⊢((⫡⇟⇯$2829$)⩚⊴⇥$6411$⊝⪿⪼$8727$)⪝(($1221$*$1671$)⨸($5199$⊱⇼⊻$1325$))","expression":"⨞⊢((⫡⇟⇯⇑⪆42304)⩚⊴⇥⇑⪆201121⊝⪿⪼⇑⪆234402)⪝((⇑⪆14341*⇑⪆23141)⨸(⇑⪆131244⊱⇼⊻⇑⪆20300))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1788,"operation_count":8,"complexity_ratio":223.5,"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":2829,"base":5}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":6411,"base":5},"right_expr":{"type":"numeric_atoms","value":8727,"base":5}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1221,"base":5},"right_expr":{"type":"numeric_atoms","value":1671,"base":5}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":5199,"base":5},"right_expr":{"type":"numeric_atoms","value":1325,"base":5}}}}},"used_operators":["xUOZtlo3hN","wicAB68Tmb","NTOWxs364D","qWUSsah53b","3Oe9XWJUTD","KmoU8R5UQR","9HNa5Wba9A","FyVja0WsTP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","P8v4zCKN1o","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2829","layer":4},{"info":"compute unary expreesion, input=2829, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=6526","layer":3},{"info":"number node, value=6411","layer":4},{"info":"number node, value=8727","layer":4},{"info":"compute binary expreesion, left_input=6411, right_input=8727, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=106097","layer":3},{"info":"compute binary expreesion, left_input=6526, right_input=106097, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-112744","layer":2},{"info":"number node, value=1221","layer":4},{"info":"number node, value=1671","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=1671, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2040291","layer":3},{"info":"number node, value=5199","layer":4},{"info":"number node, value=1325","layer":4},{"info":"compute binary expreesion, left_input=5199, right_input=1325, 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=2040291, right_input=434, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-112744, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⨞⊢((⫡⇟⇯⇑⪆42304)⩚⊴⇥⇑⪆201121⊝⪿⪼⇑⪆234402)⪝((⇑⪆14341*⇑⪆23141)⨸(⇑⪆131244⊱⇼⊻⇑⪆20300))=NaN","reverse_text":"NaN=⨞⊢((⫡⇟⇯⇑⪆42304)⩚⊴⇥⇑⪆201121⊝⪿⪼⇑⪆234402)⪝((⇑⪆14341*⇑⪆23141)⨸(⇑⪆131244⊱⇼⊻⇑⪆20300))","cot":[{"info":"⫡⇟⇯⇑⪆42304=⇑⪆202101","layer":3},{"info":"⇑⪆201121⊝⪿⪼⇑⪆234402=⇑⪆11343342","layer":3},{"info":"⇑⪆202101⩚⊴⇥⇑⪆11343342=⇑⪆-12101434","layer":2},{"info":"⇑⪆14341*⇑⪆23141=⇑⪆1010242131","layer":3},{"info":"⇑⪆131244⊱⇼⊻⇑⪆20300=⇑⪆3214","layer":3},{"info":"⇑⪆1010242131⨸⇑⪆3214=NaN","layer":2},{"info":"⇑⪆-12101434⪝NaN=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":800,"expression_no_base_symbol":"⇾⩊⇾(($1649$⇌⫙⪟$2200$⇋≉)↬(($2938$≳⇉$1777$)⇌⫙⪟(⨝⨆$1052$)))","expression":"⇾⩊⇾((⇑⪆23044⇌⫙⪟⇑⪆32300⇋≉)↬((⇑⪆43223≳⇉⇑⪆24102)⇌⫙⪟(⨝⨆⇑⪆13202)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":53159065,"operation_count":7,"complexity_ratio":7594152.142857143,"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":1649,"base":5},"right_expr":{"type":"numeric_atoms","value":2200,"base":5}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2938,"base":5},"right_expr":{"type":"numeric_atoms","value":1777,"base":5}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1052,"base":5}}}}},"used_operators":["bx9Z9DAK5y","B5M0gjZbta","XIabStNQrY","AFVx7xoS7T","V0kx6qeWkN","bQ67fsrMVf"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1649","layer":4},{"info":"number node, value=2200","layer":4},{"info":"compute binary expreesion, left_input=1649, right_input=2200, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=128","layer":2},{"info":"number node, value=2938","layer":4},{"info":"number node, value=1777","layer":4},{"info":"compute binary expreesion, left_input=2938, right_input=1777, 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=1052","layer":4},{"info":"compute unary expreesion, input=1052, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=843","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=843, 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=128, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⇾⩊⇾((⇑⪆23044⇌⫙⪟⇑⪆32300⇋≉)↬((⇑⪆43223≳⇉⇑⪆24102)⇌⫙⪟(⨝⨆⇑⪆13202)))=NaN","reverse_text":"NaN=⇾⩊⇾((⇑⪆23044⇌⫙⪟⇑⪆32300⇋≉)↬((⇑⪆43223≳⇉⇑⪆24102)⇌⫙⪟(⨝⨆⇑⪆13202)))","cot":[{"info":"⇑⪆23044⇌⫙⪟⇑⪆32300=⇑⪆423","layer":3},{"info":"⇑⪆423⇋≉=⇑⪆1003","layer":2},{"info":"⇑⪆43223≳⇉⇑⪆24102=NaN","layer":3},{"info":"⨝⨆⇑⪆13202=⇑⪆11333","layer":3},{"info":"NaN⇌⫙⪟⇑⪆11333=NaN","layer":2},{"info":"⇑⪆1003↬NaN=NaN","layer":1},{"info":"⇾⩊⇾NaN=NaN","layer":0}]}
{"id":801,"expression_no_base_symbol":"(⪁⇼(⫛⫱⨽$3636$))↤⩊($2581$≠≀$3814$⫲)∕⩚($1131$⋾⨃∁$6987$)⪎↠$1028$≁$2472$⫘($4938$≴⪞⇿$1054$∼($4527$⊢))","expression":"(⪁⇼(⫛⫱⨽⇑⪆104021))↤⩊(⇑⪆40311≠≀⇑⪆110224⫲)∕⩚(⇑⪆14011⋾⨃∁⇑⪆210422)⪎↠⇑⪆13103≁⇑⪆34342⫘(⇑⪆124223≴⪞⇿⇑⪆13204∼(⇑⪆121102⊢))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":867252,"operation_count":13,"complexity_ratio":66711.69230769231,"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":3636,"base":5}}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2581,"base":5},"right_expr":{"type":"numeric_atoms","value":3814,"base":5}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1131,"base":5},"right_expr":{"type":"numeric_atoms","value":6987,"base":5}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1028,"base":5},"right_expr":{"type":"numeric_atoms","value":2472,"base":5}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":4938,"base":5},"right_expr":{"type":"numeric_atoms","value":1054,"base":5}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":4527,"base":5}}}}},"used_operators":["z9ffQ9n5Zr","13rbtpv6ld","ZNVVrZ94lY","DlLNRPXxWL","9xnGDUPbC6","IwW236VD4Y","48vC8HMD2b","3tVxb0NHM4","212REbPD9h","8N2wDY1A35","DyGG3AbaNP","lvlrscuwVU","40aOVDgCDB"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","rGHVDoGpnC","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3636","layer":4},{"info":"compute unary expreesion, input=3636, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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=2581","layer":4},{"info":"number node, value=3814","layer":4},{"info":"compute binary expreesion, left_input=2581, right_input=3814, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4856","layer":3},{"info":"compute unary expreesion, input=-4856, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=9591","layer":2},{"info":"compute binary expreesion, left_input=422, right_input=9591, 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=1131","layer":4},{"info":"number node, value=6987","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=6987, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=488097752","layer":3},{"info":"number node, value=1028","layer":4},{"info":"number node, value=2472","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=2472, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=46127","layer":3},{"info":"compute binary expreesion, left_input=488097752, right_input=46127, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"number node, value=4938","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=4938, right_input=1054, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=43524684","layer":3},{"info":"number node, value=4527","layer":4},{"info":"compute unary expreesion, input=4527, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-4774","layer":3},{"info":"compute binary expreesion, left_input=43524684, right_input=-4774, 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=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":1},{"info":"compute binary expreesion, left_input=nan, right_input=196181, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⪁⇼(⫛⫱⨽⇑⪆104021))↤⩊(⇑⪆40311≠≀⇑⪆110224⫲)∕⩚(⇑⪆14011⋾⨃∁⇑⪆210422)⪎↠⇑⪆13103≁⇑⪆34342⫘(⇑⪆124223≴⪞⇿⇑⪆13204∼(⇑⪆121102⊢))=NaN","reverse_text":"NaN=(⪁⇼(⫛⫱⨽⇑⪆104021))↤⩊(⇑⪆40311≠≀⇑⪆110224⫲)∕⩚(⇑⪆14011⋾⨃∁⇑⪆210422)⪎↠⇑⪆13103≁⇑⪆34342⫘(⇑⪆124223≴⪞⇿⇑⪆13204∼(⇑⪆121102⊢))","cot":[{"info":"⫛⫱⨽⇑⪆104021=⇑⪆0","layer":3},{"info":"⪁⇼⇑⪆0=⇑⪆3142","layer":2},{"info":"⇑⪆40311≠≀⇑⪆110224=⇑⪆-123411","layer":3},{"info":"⇑⪆-123411⫲=⇑⪆301331","layer":2},{"info":"⇑⪆3142↤⩊⇑⪆301331=NaN","layer":1},{"info":"⇑⪆14011⋾⨃∁⇑⪆210422=⇑⪆1444423112002","layer":3},{"info":"⇑⪆13103≁⇑⪆34342=⇑⪆2434002","layer":3},{"info":"⇑⪆1444423112002⪎↠⇑⪆2434002=⇑⪆1120","layer":2},{"info":"⇑⪆124223≴⪞⇿⇑⪆13204=⇑⪆42120242214","layer":3},{"info":"⇑⪆121102⊢=⇑⪆-123044","layer":3},{"info":"⇑⪆42120242214∼⇑⪆-123044=NaN","layer":2},{"info":"⇑⪆1120⫘NaN=⇑⪆22234211","layer":1},{"info":"NaN∕⩚⇑⪆22234211=NaN","layer":0}]}
{"id":802,"expression_no_base_symbol":"⊄⩳↩(($5049$⪭$1270$)⩌⋺($1764$⪚$5725$)⋳⪒($9127$∀⇚≩$5206$≀⩗∶$2820$⊲⩕⊾$2375$))","expression":"⊄⩳↩((⇑⪆130144⪭⇑⪆20040)⩌⋺(⇑⪆24024⪚⇑⪆140400)⋳⪒(⇑⪆243002∀⇚≩⇑⪆131311≀⩗∶⇑⪆42240⊲⩕⊾⇑⪆34000))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":63971,"operation_count":8,"complexity_ratio":7996.375,"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":5049,"base":5},"right_expr":{"type":"numeric_atoms","value":1270,"base":5}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1764,"base":5},"right_expr":{"type":"numeric_atoms","value":5725,"base":5}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":9127,"base":5},"right_expr":{"type":"numeric_atoms","value":5206,"base":5}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2820,"base":5},"right_expr":{"type":"numeric_atoms","value":2375,"base":5}}}}},"used_operators":["8w2t5hMYqp","12rbrZMWeM","g7Hmc5v1ko","j9kHMeSvPp","HrjLwUk87U","8INZBEW696","LRNGc0VcxI","DmTXOeWf9t"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","COABgblf1C","xUOZtlo3hN","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","X99M06cbEe","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5049","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=5049, right_input=1270, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1764","layer":4},{"info":"number node, value=5725","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=5725, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-8278","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-8278, 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=8152","layer":2},{"info":"number node, value=9127","layer":4},{"info":"number node, value=5206","layer":4},{"info":"compute binary expreesion, left_input=9127, right_input=5206, 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=2820","layer":4},{"info":"number node, value=2375","layer":4},{"info":"compute binary expreesion, left_input=2820, right_input=2375, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-65500","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-65500, 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=8152, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⊄⩳↩((⇑⪆130144⪭⇑⪆20040)⩌⋺(⇑⪆24024⪚⇑⪆140400)⋳⪒(⇑⪆243002∀⇚≩⇑⪆131311≀⩗∶⇑⪆42240⊲⩕⊾⇑⪆34000))=NaN","reverse_text":"NaN=⊄⩳↩((⇑⪆130144⪭⇑⪆20040)⩌⋺(⇑⪆24024⪚⇑⪆140400)⋳⪒(⇑⪆243002∀⇚≩⇑⪆131311≀⩗∶⇑⪆42240⊲⩕⊾⇑⪆34000))","cot":[{"info":"⇑⪆130144⪭⇑⪆20040=⇑⪆10","layer":3},{"info":"⇑⪆24024⪚⇑⪆140400=⇑⪆-231103","layer":3},{"info":"⇑⪆10⩌⋺⇑⪆-231103=⇑⪆230102","layer":2},{"info":"⇑⪆243002∀⇚≩⇑⪆131311=NaN","layer":3},{"info":"⇑⪆42240⊲⩕⊾⇑⪆34000=⇑⪆-4044000","layer":3},{"info":"NaN≀⩗∶⇑⪆-4044000=NaN","layer":2},{"info":"⇑⪆230102⋳⪒NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":803,"expression_no_base_symbol":"($3397$⨫⇇↔$1380$∠↢(↩$7593$))⇤(⨈⪑$6589$⪟⇏$2220$)⫃⨇($1798$⩌⋺$2383$⫚↹⊑$2101$⊭↱$1590$)+⪬∐(≑⋹($1919$∘$1331$))","expression":"(⇑⪆102042⨫⇇↔⇑⪆21010∠↢(↩⇑⪆220333))⇤(⨈⪑⇑⪆202324⪟⇏⇑⪆32340)⫃⨇(⇑⪆24143⩌⋺⇑⪆34013⫚↹⊑⇑⪆31401⊭↱⇑⪆22330)+⪬∐(≑⋹(⇑⪆30134∘⇑⪆20311))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":309,"operation_count":13,"complexity_ratio":23.76923076923077,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3397,"base":5},"right_expr":{"type":"numeric_atoms","value":1380,"base":5}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":7593,"base":5}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":6589,"base":5},"right_expr":{"type":"numeric_atoms","value":2220,"base":5}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1798,"base":5},"right_expr":{"type":"numeric_atoms","value":2383,"base":5}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2101,"base":5},"right_expr":{"type":"numeric_atoms","value":1590,"base":5}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1919,"base":5},"right_expr":{"type":"numeric_atoms","value":1331,"base":5}}}}},"used_operators":["09Ly4LVMIf","YSKBFp38Pu","KbjG8mgYpV","LXhwmt4mBO","jLgFTUHLKL","mp94q5OcYM","GODebY97qR","2GS7woTJqF","dfKe02y8D2","g7Hmc5v1ko","COABgblf1C","6B9nyZLogK","Z5m6OM72h2"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","g55IO6H4Gj","D4vGDi5EA2","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","eH2TOUuTDT","rysDP5nf3Z"],"result":"⇑⪆-133041","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3397","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=3397, right_input=1380, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=7593","layer":4},{"info":"compute unary expreesion, input=7593, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-57964","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=-57964, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=814686","layer":2},{"info":"number node, value=6589","layer":4},{"info":"number node, value=2220","layer":4},{"info":"compute binary expreesion, left_input=6589, right_input=2220, 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 = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=814686, right_input=868, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-4074922","layer":1},{"info":"number node, value=1798","layer":4},{"info":"number node, value=2383","layer":4},{"info":"compute binary expreesion, left_input=1798, right_input=2383, 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=-4302","layer":3},{"info":"number node, value=2101","layer":4},{"info":"number node, value=1590","layer":4},{"info":"compute binary expreesion, left_input=2101, right_input=1590, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1017","layer":3},{"info":"compute binary expreesion, left_input=-4302, right_input=-1017, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=1919","layer":4},{"info":"number node, value=1331","layer":4},{"info":"compute binary expreesion, left_input=1919, right_input=1331, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3838","layer":3},{"info":"compute unary expreesion, input=3838, 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=-447, right_input=1650, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=1341","layer":1},{"info":"compute binary expreesion, left_input=-4074922, right_input=1341, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-5396","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆102042⨫⇇↔⇑⪆21010∠↢(↩⇑⪆220333))⇤(⨈⪑⇑⪆202324⪟⇏⇑⪆32340)⫃⨇(⇑⪆24143⩌⋺⇑⪆34013⫚↹⊑⇑⪆31401⊭↱⇑⪆22330)+⪬∐(≑⋹(⇑⪆30134∘⇑⪆20311))=⇑⪆-133041","reverse_text":"⇑⪆-133041=(⇑⪆102042⨫⇇↔⇑⪆21010∠↢(↩⇑⪆220333))⇤(⨈⪑⇑⪆202324⪟⇏⇑⪆32340)⫃⨇(⇑⪆24143⩌⋺⇑⪆34013⫚↹⊑⇑⪆31401⊭↱⇑⪆22330)+⪬∐(≑⋹(⇑⪆30134∘⇑⪆20311))","cot":[{"info":"⇑⪆102042⨫⇇↔⇑⪆21010=⇑⪆-4102","layer":3},{"info":"↩⇑⪆220333=⇑⪆-3323324","layer":3},{"info":"⇑⪆-4102∠↢⇑⪆-3323324=⇑⪆202032221","layer":2},{"info":"⇑⪆202324⪟⇏⇑⪆32340=⇑⪆-1","layer":3},{"info":"⨈⪑⇑⪆-1=⇑⪆11433","layer":2},{"info":"⇑⪆202032221⇤⇑⪆11433=⇑⪆-2020344142","layer":1},{"info":"⇑⪆24143⩌⋺⇑⪆34013=⇑⪆-114202","layer":3},{"info":"⇑⪆31401⊭↱⇑⪆22330=⇑⪆-13032","layer":3},{"info":"⇑⪆-114202⫚↹⊑⇑⪆-13032=⇑⪆-3242","layer":2},{"info":"⇑⪆30134∘⇑⪆20311=⇑⪆110323","layer":3},{"info":"≑⋹⇑⪆110323=⇑⪆23100","layer":2},{"info":"⇑⪆-3242+⪬∐⇑⪆23100=⇑⪆20331","layer":1},{"info":"⇑⪆-2020344142⫃⨇⇑⪆20331=⇑⪆-133041","layer":0}]}
{"id":804,"expression_no_base_symbol":"(⊖∈(∥⊫$5714$⊝⪿⪼$1507$))⫒⫫(($1560$⊭↱$6050$)⩇∃⫛($1750$⇌⫙⪟$1925$))∌(≅≯⇸$4033$%$3730$)","expression":"(⊖∈(∥⊫⇑⪆140324⊝⪿⪼⇑⪆22012))⫒⫫((⇑⪆22220⊭↱⇑⪆143200)⩇∃⫛(⇑⪆24000⇌⫙⪟⇑⪆30200))∌(≅≯⇸⇑⪆112113%⇑⪆104410)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":139,"operation_count":10,"complexity_ratio":13.9,"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":5714,"base":5},"right_expr":{"type":"numeric_atoms","value":1507,"base":5}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1560,"base":5},"right_expr":{"type":"numeric_atoms","value":6050,"base":5}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1750,"base":5},"right_expr":{"type":"numeric_atoms","value":1925,"base":5}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4033,"base":5},"right_expr":{"type":"numeric_atoms","value":3730,"base":5}}}}},"used_operators":["6Ko8hGgeMq","YFxL8Sc2Zy","P8v4zCKN1o","3Oe9XWJUTD","8cLx32lpNA","1aApVXNlOP","COABgblf1C","AFVx7xoS7T","apS25hmuAe","k8jYdgA6NY"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5714","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=5714, right_input=1507, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=81112","layer":3},{"info":"compute unary expreesion, input=81112, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=81980","layer":2},{"info":"compute unary expreesion, input=81980, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=1634006","layer":1},{"info":"number node, value=1560","layer":4},{"info":"number node, value=6050","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=6050, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8985","layer":3},{"info":"number node, value=1750","layer":4},{"info":"number node, value=1925","layer":4},{"info":"compute binary expreesion, left_input=1750, right_input=1925, 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=8985, right_input=113, 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=-8399","layer":2},{"info":"number node, value=4033","layer":4},{"info":"number node, value=3730","layer":4},{"info":"compute binary expreesion, left_input=4033, right_input=3730, op_id = k8jYdgA6NY binary_op_definition= 'None', output=303","layer":3},{"info":"compute unary expreesion, input=303, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=8889","layer":2},{"info":"compute binary expreesion, left_input=-8399, right_input=8889, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-8399","layer":1},{"info":"compute binary expreesion, left_input=1634006, right_input=-8399, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⊖∈(∥⊫⇑⪆140324⊝⪿⪼⇑⪆22012))⫒⫫((⇑⪆22220⊭↱⇑⪆143200)⩇∃⫛(⇑⪆24000⇌⫙⪟⇑⪆30200))∌(≅≯⇸⇑⪆112113%⇑⪆104410)=NaN","reverse_text":"NaN=(⊖∈(∥⊫⇑⪆140324⊝⪿⪼⇑⪆22012))⫒⫫((⇑⪆22220⊭↱⇑⪆143200)⩇∃⫛(⇑⪆24000⇌⫙⪟⇑⪆30200))∌(≅≯⇸⇑⪆112113%⇑⪆104410)","cot":[{"info":"⇑⪆140324⊝⪿⪼⇑⪆22012=⇑⪆10043422","layer":3},{"info":"∥⊫⇑⪆10043422=⇑⪆10110410","layer":2},{"info":"⊖∈⇑⪆10110410=⇑⪆404242011","layer":1},{"info":"⇑⪆22220⊭↱⇑⪆143200=⇑⪆241420","layer":3},{"info":"⇑⪆24000⇌⫙⪟⇑⪆30200=⇑⪆423","layer":3},{"info":"⇑⪆241420⩇∃⫛⇑⪆423=⇑⪆-232044","layer":2},{"info":"⇑⪆112113%⇑⪆104410=⇑⪆2203","layer":3},{"info":"≅≯⇸⇑⪆2203=⇑⪆241024","layer":2},{"info":"⇑⪆-232044∌⇑⪆241024=⇑⪆-232044","layer":1},{"info":"⇑⪆404242011⫒⫫⇑⪆-232044=NaN","layer":0}]}
{"id":805,"expression_no_base_symbol":"(⨩∲⋌($3759$↹⊜$6218$⨰(⊗$3529$)))⨻⩈⩔(⇉-⫰($2900$⨔≚≋$1014$)⪬(⫶⊄≣$3588$))","expression":"(⨩∲⋌(⇑⪆110014↹⊜⇑⪆144333⨰(⊗⇑⪆103104)))⨻⩈⩔(⇉-⫰(⇑⪆43100⨔≚≋⇑⪆13024)⪬(⫶⊄≣⇑⪆103323))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4367,"operation_count":9,"complexity_ratio":485.22222222222223,"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":3759,"base":5},"right_expr":{"type":"numeric_atoms","value":6218,"base":5}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":3529,"base":5}}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2900,"base":5},"right_expr":{"type":"numeric_atoms","value":1014,"base":5}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":3588,"base":5}}}}},"used_operators":["nEsXyWgiOK","aSik1wnThz","eewbuw0ToL","9bazX3JMtO","RhiyfpczSx","IGFM8TAlm9","Ez1Nq5fNfI","Z57zeUYC9z","wxb3vTeyAj"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","eH2TOUuTDT","eewbuw0ToL","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI"],"result":"⇑⪆-1144","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3759","layer":4},{"info":"number node, value=6218","layer":4},{"info":"compute binary expreesion, left_input=3759, right_input=6218, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-17450","layer":3},{"info":"number node, value=3529","layer":4},{"info":"compute unary expreesion, input=3529, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-7058","layer":3},{"info":"compute binary expreesion, left_input=-17450, right_input=-7058, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-10382","layer":2},{"info":"compute unary expreesion, input=-10382, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-10145","layer":1},{"info":"number node, value=2900","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=2900, right_input=1014, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=3588","layer":4},{"info":"compute unary expreesion, input=3588, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=231788665","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=231788665, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"compute binary expreesion, left_input=-10145, right_input=20, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":5,"result_base":5,"text":"(⨩∲⋌(⇑⪆110014↹⊜⇑⪆144333⨰(⊗⇑⪆103104)))⨻⩈⩔(⇉-⫰(⇑⪆43100⨔≚≋⇑⪆13024)⪬(⫶⊄≣⇑⪆103323))=⇑⪆-1144","reverse_text":"⇑⪆-1144=(⨩∲⋌(⇑⪆110014↹⊜⇑⪆144333⨰(⊗⇑⪆103104)))⨻⩈⩔(⇉-⫰(⇑⪆43100⨔≚≋⇑⪆13024)⪬(⫶⊄≣⇑⪆103323))","cot":[{"info":"⇑⪆110014↹⊜⇑⪆144333=⇑⪆-1024300","layer":3},{"info":"⊗⇑⪆103104=⇑⪆-211213","layer":3},{"info":"⇑⪆-1024300⨰⇑⪆-211213=⇑⪆-313012","layer":2},{"info":"⨩∲⋌⇑⪆-313012=⇑⪆-311040","layer":1},{"info":"⇑⪆43100⨔≚≋⇑⪆13024=⇑⪆303442","layer":3},{"info":"⫶⊄≣⇑⪆103323=⇑⪆433314214130","layer":3},{"info":"⇑⪆303442⪬⇑⪆433314214130=⇑⪆14414","layer":2},{"info":"⇉-⫰⇑⪆14414=⇑⪆40","layer":1},{"info":"⇑⪆-311040⨻⩈⩔⇑⪆40=⇑⪆-1144","layer":0}]}
{"id":806,"expression_no_base_symbol":"((($2432$⫰⋱$2013$)⊭∹↮)⩁⩘((⫯$2602$)⊍⩺⋍(-$1042$)))∊∟⩊((($1119$⊦⊿)⪷)↪⪝)","expression":"(((⇑⪆34212⫰⋱⇑⪆31023)⊭∹↮)⩁⩘((⫯⇑⪆40402)⊍⩺⋍(-⇑⪆13132)))∊∟⩊(((⇑⪆13434⊦⊿)⪷)↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3748,"operation_count":10,"complexity_ratio":374.8,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2432,"base":5},"right_expr":{"type":"numeric_atoms","value":2013,"base":5}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":2602,"base":5}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1042,"base":5}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1119,"base":5}}}}},"used_operators":["ddLRYrp01A","gub5Cegaqo","xNBdhnnwKq","6o9Blt3TJ6","OXDGMFPWZM","H6BK1Evt7c","t8gj7n24qd","l07mrZUIn9","Qctrpi3WzA","14qkJME0vr"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","DpFCA1CohY","IWmyXbctLI","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","9HNa5Wba9A","2DDjHMKMc0","Nsiff2A1zJ","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2432","layer":4},{"info":"number node, value=2013","layer":4},{"info":"compute binary expreesion, left_input=2432, right_input=2013, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2399","layer":3},{"info":"compute unary expreesion, input=-2399, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-2399","layer":2},{"info":"number node, value=2602","layer":4},{"info":"compute unary expreesion, input=2602, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-94496","layer":3},{"info":"number node, value=1042","layer":4},{"info":"compute unary expreesion, input=1042, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1042","layer":3},{"info":"compute binary expreesion, left_input=-94496, right_input=-1042, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2399, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"number node, value=1119","layer":4},{"info":"compute unary expreesion, input=1119, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3436","layer":3},{"info":"compute unary expreesion, input=-3436, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*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":5,"result_base":5,"text":"(((⇑⪆34212⫰⋱⇑⪆31023)⊭∹↮)⩁⩘((⫯⇑⪆40402)⊍⩺⋍(-⇑⪆13132)))∊∟⩊(((⇑⪆13434⊦⊿)⪷)↪⪝)=NaN","reverse_text":"NaN=(((⇑⪆34212⫰⋱⇑⪆31023)⊭∹↮)⩁⩘((⫯⇑⪆40402)⊍⩺⋍(-⇑⪆13132)))∊∟⩊(((⇑⪆13434⊦⊿)⪷)↪⪝)","cot":[{"info":"⇑⪆34212⫰⋱⇑⪆31023=⇑⪆-34044","layer":3},{"info":"⇑⪆-34044⊭∹↮=⇑⪆-34044","layer":2},{"info":"⫯⇑⪆40402=⇑⪆-11010441","layer":3},{"info":"-⇑⪆13132=⇑⪆-13132","layer":3},{"info":"⇑⪆-11010441⊍⩺⋍⇑⪆-13132=NaN","layer":2},{"info":"⇑⪆-34044⩁⩘NaN=NaN","layer":1},{"info":"⇑⪆13434⊦⊿=⇑⪆-102221","layer":3},{"info":"⇑⪆-102221⪷=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"NaN∊∟⩊NaN=NaN","layer":0}]}
{"id":807,"expression_no_base_symbol":"(((⇺⋃$2139$)≭$2991$≌$2743$)∌↝($2056$≃$2536$)≨($3098$⋭≵$1011$))⇂≾⫗((∡$3837$)⨸(⫇$1603$)⇍⊗(↩⪖($4709$⪘⫢$1284$)))","expression":"(((⇺⋃⇑⪆32024)≭⇑⪆43431≌⇑⪆41433)∌↝(⇑⪆31211≃⇑⪆40121)≨(⇑⪆44343⋭≵⇑⪆13021))⇂≾⫗((∡⇑⪆110322)⨸(⫇⇑⪆22403)⇍⊗(↩⪖(⇑⪆122314⪘⫢⇑⪆20114)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":57864,"operation_count":14,"complexity_ratio":4133.142857142857,"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":2139,"base":5}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2991,"base":5},"right_expr":{"type":"numeric_atoms","value":2743,"base":5}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2056,"base":5},"right_expr":{"type":"numeric_atoms","value":2536,"base":5}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3098,"base":5},"right_expr":{"type":"numeric_atoms","value":1011,"base":5}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":3837,"base":5}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1603,"base":5}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4709,"base":5},"right_expr":{"type":"numeric_atoms","value":1284,"base":5}}}}},"used_operators":["aBQ6xLxuTc","9Isq31Ruls","rxpJgHHUmx","E5v5B3UAjG","lyWz822IDG","0KMCeP1Jsh","YbVcJGFEVW","jBncVCNhdl","5uvYHDjeKN","KmoU8R5UQR","pRsWfj4Fpp","YjI8oCXuph","fG6uBQFnGz","oacrs7FA3X"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","AHs5Up7iyr","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2139","layer":4},{"info":"compute unary expreesion, input=2139, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=2991","layer":4},{"info":"number node, value=2743","layer":4},{"info":"compute binary expreesion, left_input=2991, right_input=2743, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=2056","layer":4},{"info":"number node, value=2536","layer":4},{"info":"compute binary expreesion, left_input=2056, right_input=2536, 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=-8264","layer":3},{"info":"number node, value=3098","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=3098, right_input=1011, 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=-8264, right_input=67, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=17184","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17184, 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=3837","layer":4},{"info":"compute unary expreesion, input=3837, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-3837","layer":3},{"info":"number node, value=1603","layer":4},{"info":"compute unary expreesion, input=1603, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-1992","layer":3},{"info":"compute binary expreesion, left_input=-3837, right_input=-1992, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=7674","layer":2},{"info":"number node, value=4709","layer":4},{"info":"number node, value=1284","layer":4},{"info":"compute binary expreesion, left_input=4709, right_input=1284, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9294","layer":3},{"info":"compute unary expreesion, input=9294, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-58746","layer":2},{"info":"compute binary expreesion, left_input=7674, right_input=-58746, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(((⇺⋃⇑⪆32024)≭⇑⪆43431≌⇑⪆41433)∌↝(⇑⪆31211≃⇑⪆40121)≨(⇑⪆44343⋭≵⇑⪆13021))⇂≾⫗((∡⇑⪆110322)⨸(⫇⇑⪆22403)⇍⊗(↩⪖(⇑⪆122314⪘⫢⇑⪆20114)))=NaN","reverse_text":"NaN=(((⇺⋃⇑⪆32024)≭⇑⪆43431≌⇑⪆41433)∌↝(⇑⪆31211≃⇑⪆40121)≨(⇑⪆44343⋭≵⇑⪆13021))⇂≾⫗((∡⇑⪆110322)⨸(⫇⇑⪆22403)⇍⊗(↩⪖(⇑⪆122314⪘⫢⇑⪆20114)))","cot":[{"info":"⇺⋃⇑⪆32024=NaN","layer":3},{"info":"⇑⪆43431≌⇑⪆41433=NaN","layer":3},{"info":"NaN≭NaN=NaN","layer":2},{"info":"⇑⪆31211≃⇑⪆40121=⇑⪆-231024","layer":3},{"info":"⇑⪆44343⋭≵⇑⪆13021=⇑⪆232","layer":3},{"info":"⇑⪆-231024≨⇑⪆232=⇑⪆1022214","layer":2},{"info":"NaN∌↝⇑⪆1022214=NaN","layer":1},{"info":"∡⇑⪆110322=⇑⪆-110322","layer":3},{"info":"⫇⇑⪆22403=⇑⪆-30432","layer":3},{"info":"⇑⪆-110322⨸⇑⪆-30432=⇑⪆221144","layer":2},{"info":"⇑⪆122314⪘⫢⇑⪆20114=⇑⪆244134","layer":3},{"info":"↩⪖⇑⪆244134=⇑⪆-3334441","layer":2},{"info":"⇑⪆221144⇍⊗⇑⪆-3334441=⇑⪆-1434","layer":1},{"info":"NaN⇂≾⫗⇑⪆-1434=NaN","layer":0}]}
{"id":808,"expression_no_base_symbol":"((∤$2921$∀⇚≩$5134$)⩇∃⫛(+⊝⨔($2473$⫳≱↱$7734$)))⨪↰⇹($6118$⨿$2770$)⊕∕($4678$⋻⩜⩜$1735$)∇⊂⋱($2927$⋥⋵⩄$5533$⨁⊸⫻)","expression":"((∤⇑⪆43141∀⇚≩⇑⪆131014)⩇∃⫛(+⊝⨔(⇑⪆34343⫳≱↱⇑⪆221414)))⨪↰⇹(⇑⪆143433⨿⇑⪆42040)⊕∕(⇑⪆122203⋻⩜⩜⇑⪆23420)∇⊂⋱(⇑⪆43202⋥⋵⩄⇑⪆134113⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":45344,"operation_count":12,"complexity_ratio":3778.6666666666665,"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":2921,"base":5},"right_expr":{"type":"numeric_atoms","value":5134,"base":5}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2473,"base":5},"right_expr":{"type":"numeric_atoms","value":7734,"base":5}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":6118,"base":5},"right_expr":{"type":"numeric_atoms","value":2770,"base":5}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4678,"base":5},"right_expr":{"type":"numeric_atoms","value":1735,"base":5}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2927,"base":5},"right_expr":{"type":"numeric_atoms","value":5533,"base":5}}}}},"used_operators":["tmPS8pqC7x","1aApVXNlOP","k2HlF1dBQh","LRNGc0VcxI","DhbWaqg5eL","ZvLB05nZmT","nhYeJWJD5X","9cloC0Ngie","abYXlopdE0","oDCm7WA9JY","glklzrTFfD","7t3wd0Fuz7"],"dependent_operators":["rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","X99M06cbEe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","rysDP5nf3Z","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=2921","layer":4},{"info":"number node, value=5134","layer":4},{"info":"compute binary expreesion, left_input=2921, right_input=5134, 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 = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=nan","layer":2},{"info":"number node, value=2473","layer":4},{"info":"number node, value=7734","layer":4},{"info":"compute binary expreesion, left_input=2473, right_input=7734, 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 = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = 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=6118","layer":4},{"info":"number node, value=2770","layer":4},{"info":"compute binary expreesion, left_input=6118, right_input=2770, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=4678","layer":4},{"info":"number node, value=1735","layer":4},{"info":"compute binary expreesion, left_input=4678, right_input=1735, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=9356","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=9356, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-319","layer":2},{"info":"number node, value=2927","layer":4},{"info":"number node, value=5533","layer":4},{"info":"compute binary expreesion, left_input=2927, right_input=5533, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=113","layer":2},{"info":"compute binary expreesion, left_input=-319, right_input=113, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-226","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-226, 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":0}],"base":5,"result_base":5,"text":"((∤⇑⪆43141∀⇚≩⇑⪆131014)⩇∃⫛(+⊝⨔(⇑⪆34343⫳≱↱⇑⪆221414)))⨪↰⇹(⇑⪆143433⨿⇑⪆42040)⊕∕(⇑⪆122203⋻⩜⩜⇑⪆23420)∇⊂⋱(⇑⪆43202⋥⋵⩄⇑⪆134113⨁⊸⫻)=NaN","reverse_text":"NaN=((∤⇑⪆43141∀⇚≩⇑⪆131014)⩇∃⫛(+⊝⨔(⇑⪆34343⫳≱↱⇑⪆221414)))⨪↰⇹(⇑⪆143433⨿⇑⪆42040)⊕∕(⇑⪆122203⋻⩜⩜⇑⪆23420)∇⊂⋱(⇑⪆43202⋥⋵⩄⇑⪆134113⨁⊸⫻)","cot":[{"info":"⇑⪆43141∀⇚≩⇑⪆131014=NaN","layer":3},{"info":"∤NaN=NaN","layer":2},{"info":"⇑⪆34343⫳≱↱⇑⪆221414=⇑⪆-1304","layer":3},{"info":"+⊝⨔⇑⪆-1304=⇑⪆22042","layer":2},{"info":"NaN⩇∃⫛⇑⪆22042=NaN","layer":1},{"info":"⇑⪆143433⨿⇑⪆42040=⇑⪆-2234","layer":3},{"info":"⇑⪆122203⋻⩜⩜⇑⪆23420=⇑⪆244411","layer":3},{"info":"⇑⪆-2234⊕∕⇑⪆244411=⇑⪆-2234","layer":2},{"info":"⇑⪆43202⋥⋵⩄⇑⪆134113=⇑⪆423","layer":3},{"info":"⇑⪆423⨁⊸⫻=⇑⪆423","layer":2},{"info":"⇑⪆-2234∇⊂⋱⇑⪆423=⇑⪆-1401","layer":1},{"info":"NaN⨪↰⇹⇑⪆-1401=NaN","layer":0}]}
{"id":809,"expression_no_base_symbol":"(⩎⋉($1764$⨳⩥⨓$5789$))≦↸((↥$5941$)⇴$4842$⪘⫢$3197$)⨉","expression":"(⩎⋉(⇑⪆24024⨳⩥⨓⇑⪆141124))≦↸((↥⇑⪆142231)⇴⇑⪆123332⪘⫢⇑⪆100242)⨉","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":40641,"operation_count":7,"complexity_ratio":5805.857142857143,"tree":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1764,"base":5},"right_expr":{"type":"numeric_atoms","value":5789,"base":5}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5941,"base":5}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4842,"base":5},"right_expr":{"type":"numeric_atoms","value":3197,"base":5}}}}},"used_operators":["aMUSaJuDRU","RygbFNSyEJ","FlXk3pOYe8","nCS4ZIUYfx","4JB6nKBMSY","A8NUZmVepG","oacrs7FA3X"],"dependent_operators":["tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","NTOWxs364D","COABgblf1C","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⇑⪆10124402","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1764","layer":4},{"info":"number node, value=5789","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=5789, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4025","layer":3},{"info":"compute unary expreesion, input=4025, 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":"number node, value=5941","layer":4},{"info":"compute unary expreesion, input=5941, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=25","layer":3},{"info":"number node, value=4842","layer":4},{"info":"number node, value=3197","layer":4},{"info":"compute binary expreesion, left_input=4842, right_input=3197, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9560","layer":3},{"info":"compute binary expreesion, left_input=25, right_input=9560, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=18884","layer":2},{"info":"compute binary expreesion, left_input=1650, right_input=18884, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-40387","layer":1},{"info":"compute unary expreesion, input=-40387, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=83102","layer":0}],"base":5,"result_base":5,"text":"(⩎⋉(⇑⪆24024⨳⩥⨓⇑⪆141124))≦↸((↥⇑⪆142231)⇴⇑⪆123332⪘⫢⇑⪆100242)⨉=⇑⪆10124402","reverse_text":"⇑⪆10124402=(⩎⋉(⇑⪆24024⨳⩥⨓⇑⪆141124))≦↸((↥⇑⪆142231)⇴⇑⪆123332⪘⫢⇑⪆100242)⨉","cot":[{"info":"⇑⪆24024⨳⩥⨓⇑⪆141124=⇑⪆112100","layer":3},{"info":"⩎⋉⇑⪆112100=⇑⪆23100","layer":2},{"info":"↥⇑⪆142231=⇑⪆100","layer":3},{"info":"⇑⪆123332⪘⫢⇑⪆100242=⇑⪆301220","layer":3},{"info":"⇑⪆100⇴⇑⪆301220=⇑⪆1101014","layer":2},{"info":"⇑⪆23100≦↸⇑⪆1101014=⇑⪆-2243022","layer":1},{"info":"⇑⪆-2243022⨉=⇑⪆10124402","layer":0}]}
{"id":810,"expression_no_base_symbol":"(≋($1721$⇣⩺⋵$1319$))⨐$2822$⪝$2356$⫞⩸⩒$1591$↤⩊$3686$↢((⪫⨮⊛$2367$)⫯⪬∳($2087$⊬⫿⊭)%($2183$⨿$3263$⩱))","expression":"(≋(⇑⪆23341⇣⩺⋵⇑⪆20234))⨐⇑⪆42242⪝⇑⪆33411⫞⩸⩒⇑⪆22331↤⩊⇑⪆104221↢((⪫⨮⊛⇑⪆33432)⫯⪬∳(⇑⪆31322⊬⫿⊭)%(⇑⪆32213⨿⇑⪆101023⩱))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1425509,"operation_count":13,"complexity_ratio":109654.53846153847,"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":1721,"base":5},"right_expr":{"type":"numeric_atoms","value":1319,"base":5}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2822,"base":5},"right_expr":{"type":"numeric_atoms","value":2356,"base":5}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1591,"base":5},"right_expr":{"type":"numeric_atoms","value":3686,"base":5}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":2367,"base":5}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":2087,"base":5}}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2183,"base":5},"right_expr":{"type":"numeric_atoms","value":3263,"base":5}}}}},"used_operators":["WR6HLWljOP","Noe24qw2ks","61wBmkZwlr","F4yD0voBRQ","XGcMNugi78","wicAB68Tmb","13rbtpv6ld","k8jYdgA6NY","d7ASUq0ydm","w5FWba1tyO","v0DYgG9ikt","uyq1hVkAcj","abYXlopdE0"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","7j4O788W3g","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"⇑⪆-3414","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1721","layer":4},{"info":"number node, value=1319","layer":4},{"info":"compute binary expreesion, left_input=1721, right_input=1319, 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 = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-260","layer":2},{"info":"number node, value=2822","layer":4},{"info":"number node, value=2356","layer":4},{"info":"compute binary expreesion, left_input=2822, right_input=2356, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-2263","layer":3},{"info":"number node, value=1591","layer":4},{"info":"number node, value=3686","layer":4},{"info":"compute binary expreesion, left_input=1591, right_input=3686, 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=-2263, 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=-2263","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-2263, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=520","layer":1},{"info":"number node, value=2367","layer":4},{"info":"compute unary expreesion, input=2367, 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=2087","layer":4},{"info":"compute unary expreesion, input=2087, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-6261","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6261, 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=2183","layer":4},{"info":"number node, value=3263","layer":4},{"info":"compute binary expreesion, left_input=2183, right_input=3263, 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 = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=1664","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1664, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=520, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":0}],"base":5,"result_base":5,"text":"(≋(⇑⪆23341⇣⩺⋵⇑⪆20234))⨐⇑⪆42242⪝⇑⪆33411⫞⩸⩒⇑⪆22331↤⩊⇑⪆104221↢((⪫⨮⊛⇑⪆33432)⫯⪬∳(⇑⪆31322⊬⫿⊭)%(⇑⪆32213⨿⇑⪆101023⩱))=⇑⪆-3414","reverse_text":"⇑⪆-3414=(≋(⇑⪆23341⇣⩺⋵⇑⪆20234))⨐⇑⪆42242⪝⇑⪆33411⫞⩸⩒⇑⪆22331↤⩊⇑⪆104221↢((⪫⨮⊛⇑⪆33432)⫯⪬∳(⇑⪆31322⊬⫿⊭)%(⇑⪆32213⨿⇑⪆101023⩱))","cot":[{"info":"⇑⪆23341⇣⩺⋵⇑⪆20234=⇑⪆-2020","layer":3},{"info":"≋⇑⪆-2020=⇑⪆-2020","layer":2},{"info":"⇑⪆42242⪝⇑⪆33411=⇑⪆-33023","layer":3},{"info":"⇑⪆22331↤⩊⇑⪆104221=NaN","layer":3},{"info":"⇑⪆-33023⫞⩸⩒NaN=⇑⪆-33023","layer":2},{"info":"⇑⪆-2020⨐⇑⪆-33023=⇑⪆4040","layer":1},{"info":"⪫⨮⊛⇑⪆33432=NaN","layer":3},{"info":"⇑⪆31322⊬⫿⊭=⇑⪆-200021","layer":3},{"info":"NaN⫯⪬∳⇑⪆-200021=NaN","layer":2},{"info":"⇑⪆32213⨿⇑⪆101023=⇑⪆-2234","layer":3},{"info":"⇑⪆-2234⩱=⇑⪆23124","layer":2},{"info":"NaN%⇑⪆23124=NaN","layer":1},{"info":"⇑⪆4040↢NaN=⇑⪆-3414","layer":0}]}
{"id":811,"expression_no_base_symbol":"(($2619$⨲)↬($2724$⪶≀⋏$3601$))⪒⊣⊆($3528$⇂≾⫗$1323$⪁$1349$≁$1847$)∠⫱((-$3143$⊉↱≁$1337$)↱($3960$⨳⩥⨓$1961$)⨟⋌⩍$4693$⨿$4699$)","expression":"((⇑⪆40434⨲)↬(⇑⪆41344⪶≀⋏⇑⪆103401))⪒⊣⊆(⇑⪆103103⇂≾⫗⇑⪆20243⪁⇑⪆20344≁⇑⪆24342)∠⫱((-⇑⪆100033⊉↱≁⇑⪆20322)↱(⇑⪆111320⨳⩥⨓⇑⪆30321)⨟⋌⩍⇑⪆122233⨿⇑⪆122244)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":429987,"operation_count":14,"complexity_ratio":30713.35714285714,"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":2619,"base":5}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2724,"base":5},"right_expr":{"type":"numeric_atoms","value":3601,"base":5}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3528,"base":5},"right_expr":{"type":"numeric_atoms","value":1323,"base":5}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1349,"base":5},"right_expr":{"type":"numeric_atoms","value":1847,"base":5}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3143,"base":5},"right_expr":{"type":"numeric_atoms","value":1337,"base":5}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3960,"base":5},"right_expr":{"type":"numeric_atoms","value":1961,"base":5}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":4693,"base":5},"right_expr":{"type":"numeric_atoms","value":4699,"base":5}}}}},"used_operators":["QvoQhV0rrE","eRqsBgTDFp","B5M0gjZbta","nLYMGWM7L8","zR4jO40bMj","I7sXao9hZE","aBQ6xLxuTc","8N2wDY1A35","SR5kFfdi6N","t8gj7n24qd","w2P8NbNXyL","rGHVDoGpnC","nCS4ZIUYfx","abYXlopdE0"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","sdazOOVcIp","W4YGzv6Whe","rGHVDoGpnC","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"⇑⪆14414","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2619","layer":4},{"info":"compute unary expreesion, input=2619, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=463556557","layer":3},{"info":"number node, value=2724","layer":4},{"info":"number node, value=3601","layer":4},{"info":"compute binary expreesion, left_input=2724, right_input=3601, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-15606","layer":3},{"info":"compute binary expreesion, left_input=463556557, right_input=-15606, 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=3528","layer":4},{"info":"number node, value=1323","layer":4},{"info":"compute binary expreesion, left_input=3528, right_input=1323, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1349","layer":4},{"info":"number node, value=1847","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=1847, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=31127","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=31127, 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 = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":1},{"info":"number node, value=3143","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=3143, right_input=1337, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=23356","layer":3},{"info":"compute unary expreesion, input=23356, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-23356","layer":2},{"info":"number node, value=3960","layer":4},{"info":"number node, value=1961","layer":4},{"info":"compute binary expreesion, left_input=3960, right_input=1961, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1999","layer":3},{"info":"number node, value=4693","layer":4},{"info":"number node, value=4699","layer":4},{"info":"compute binary expreesion, left_input=4693, right_input=4699, 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=-1999, right_input=-319, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=-23356, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=15670, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆40434⨲)↬(⇑⪆41344⪶≀⋏⇑⪆103401))⪒⊣⊆(⇑⪆103103⇂≾⫗⇑⪆20243⪁⇑⪆20344≁⇑⪆24342)∠⫱((-⇑⪆100033⊉↱≁⇑⪆20322)↱(⇑⪆111320⨳⩥⨓⇑⪆30321)⨟⋌⩍⇑⪆122233⨿⇑⪆122244)=⇑⪆14414","reverse_text":"⇑⪆14414=((⇑⪆40434⨲)↬(⇑⪆41344⪶≀⋏⇑⪆103401))⪒⊣⊆(⇑⪆103103⇂≾⫗⇑⪆20243⪁⇑⪆20344≁⇑⪆24342)∠⫱((-⇑⪆100033⊉↱≁⇑⪆20322)↱(⇑⪆111320⨳⩥⨓⇑⪆30321)⨟⋌⩍⇑⪆122233⨿⇑⪆122244)","cot":[{"info":"⇑⪆40434⨲=⇑⪆1422132302212","layer":3},{"info":"⇑⪆41344⪶≀⋏⇑⪆103401=⇑⪆-444411","layer":3},{"info":"⇑⪆1422132302212↬⇑⪆-444411=NaN","layer":2},{"info":"⇑⪆103103⇂≾⫗⇑⪆20243=⇑⪆-10201","layer":3},{"info":"⇑⪆20344≁⇑⪆24342=⇑⪆1444002","layer":3},{"info":"⇑⪆-10201⪁⇑⪆1444002=NaN","layer":2},{"info":"NaN⪒⊣⊆NaN=NaN","layer":1},{"info":"⇑⪆100033⊉↱≁⇑⪆20322=⇑⪆1221411","layer":3},{"info":"-⇑⪆1221411=⇑⪆-1221411","layer":2},{"info":"⇑⪆111320⨳⩥⨓⇑⪆30321=⇑⪆-30444","layer":3},{"info":"⇑⪆122233⨿⇑⪆122244=⇑⪆-2234","layer":3},{"info":"⇑⪆-30444⨟⋌⩍⇑⪆-2234=⇑⪆0","layer":2},{"info":"⇑⪆-1221411↱⇑⪆0=⇑⪆1000140","layer":1},{"info":"NaN∠⫱⇑⪆1000140=⇑⪆14414","layer":0}]}
{"id":812,"expression_no_base_symbol":"($3424$⫞⩸⩒$2182$⪍↜⋙(+⊝⨔$4173$)∝($2362$⨵⪆$1758$)⋕⪉⪜($1047$⪡$4415$))⩒⫫(((⩩$7086$)≦≮≮)⊨($3230$⪟⇏$1003$∙⊟(∡$1006$)))","expression":"(⇑⪆102144⫞⩸⩒⇑⪆32212⪍↜⋙(+⊝⨔⇑⪆113143)∝(⇑⪆33422⨵⪆⇑⪆24013)⋕⪉⪜(⇑⪆13142⪡⇑⪆120130))⩒⫫(((⩩⇑⪆211321)≦≮≮)⊨(⇑⪆100410⪟⇏⇑⪆13003∙⊟(∡⇑⪆13011)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8279,"operation_count":14,"complexity_ratio":591.3571428571429,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3424,"base":5},"right_expr":{"type":"numeric_atoms","value":2182,"base":5}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4173,"base":5}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2362,"base":5},"right_expr":{"type":"numeric_atoms","value":1758,"base":5}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1047,"base":5},"right_expr":{"type":"numeric_atoms","value":4415,"base":5}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":7086,"base":5}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3230,"base":5},"right_expr":{"type":"numeric_atoms","value":1003,"base":5}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1006,"base":5}}}}},"used_operators":["KFSx94NKJn","cTDWOvIxvz","L05ObWFQCd","XGcMNugi78","DhbWaqg5eL","z6LnFrNh4i","2DQ55sFlQl","oraRL2iQuh","vg4gO5BX6G","D4vGDi5EA2","kMhfGuqI2H","SxTAKzQCrw","GODebY97qR","pRsWfj4Fpp"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3424","layer":4},{"info":"number node, value=2182","layer":4},{"info":"compute binary expreesion, left_input=3424, right_input=2182, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2182","layer":3},{"info":"number node, value=4173","layer":4},{"info":"compute unary expreesion, input=4173, 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=2182, right_input=1522, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=1320","layer":2},{"info":"number node, value=2362","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=2362, right_input=1758, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1047","layer":4},{"info":"number node, value=4415","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=4415, 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=160, right_input=107, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=1320, right_input=2802, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1325","layer":1},{"info":"number node, value=7086","layer":4},{"info":"compute unary expreesion, input=7086, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":2},{"info":"number node, value=3230","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=3230, right_input=1003, 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=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1006","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-1006, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22298","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=22298, 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=1325, 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":5,"result_base":5,"text":"(⇑⪆102144⫞⩸⩒⇑⪆32212⪍↜⋙(+⊝⨔⇑⪆113143)∝(⇑⪆33422⨵⪆⇑⪆24013)⋕⪉⪜(⇑⪆13142⪡⇑⪆120130))⩒⫫(((⩩⇑⪆211321)≦≮≮)⊨(⇑⪆100410⪟⇏⇑⪆13003∙⊟(∡⇑⪆13011)))=NaN","reverse_text":"NaN=(⇑⪆102144⫞⩸⩒⇑⪆32212⪍↜⋙(+⊝⨔⇑⪆113143)∝(⇑⪆33422⨵⪆⇑⪆24013)⋕⪉⪜(⇑⪆13142⪡⇑⪆120130))⩒⫫(((⩩⇑⪆211321)≦≮≮)⊨(⇑⪆100410⪟⇏⇑⪆13003∙⊟(∡⇑⪆13011)))","cot":[{"info":"⇑⪆102144⫞⩸⩒⇑⪆32212=⇑⪆32212","layer":3},{"info":"+⊝⨔⇑⪆113143=⇑⪆22042","layer":3},{"info":"⇑⪆32212⪍↜⋙⇑⪆22042=⇑⪆20240","layer":2},{"info":"⇑⪆33422⨵⪆⇑⪆24013=⇑⪆1120","layer":3},{"info":"⇑⪆13142⪡⇑⪆120130=⇑⪆412","layer":3},{"info":"⇑⪆1120⋕⪉⪜⇑⪆412=⇑⪆42202","layer":2},{"info":"⇑⪆20240∝⇑⪆42202=⇑⪆20300","layer":1},{"info":"⩩⇑⪆211321=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"⇑⪆100410⪟⇏⇑⪆13003=⇑⪆-1","layer":3},{"info":"∡⇑⪆13011=⇑⪆-13011","layer":3},{"info":"⇑⪆-1∙⊟⇑⪆-13011=⇑⪆1203143","layer":2},{"info":"NaN⊨⇑⪆1203143=NaN","layer":1},{"info":"⇑⪆20300⩒⫫NaN=NaN","layer":0}]}
{"id":813,"expression_no_base_symbol":"(⊤⊝$1477$∳⫺$5911$⊱⇼⊻($1299$⋖∅⋲))⪛((≸($7619$*$4561$))⫻⋑⊟)","expression":"(⊤⊝⇑⪆21402∳⫺⇑⪆142121⊱⇼⊻(⇑⪆20144⋖∅⋲))⪛((≸(⇑⪆220434*⇑⪆121221))⫻⋑⊟)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5125,"operation_count":8,"complexity_ratio":640.625,"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":1477,"base":5},"right_expr":{"type":"numeric_atoms","value":5911,"base":5}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":1299,"base":5}}}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7619,"base":5},"right_expr":{"type":"numeric_atoms","value":4561,"base":5}}}}},"used_operators":["uFcxV4UQCh","rXAclfmB4M","FyVja0WsTP","AzXXKTstlj","L95AwlJzhO","o575Zjdmzy","eOf03JbCpp","9HNa5Wba9A"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","W4YGzv6Whe"],"result":"⇑⪆341","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1477","layer":4},{"info":"number node, value=5911","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=5911, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-5852","layer":3},{"info":"number node, value=1299","layer":4},{"info":"compute unary expreesion, input=1299, 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=-5852, right_input=-384231, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=-20606","layer":2},{"info":"compute unary expreesion, input=-20606, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-42510","layer":1},{"info":"number node, value=7619","layer":4},{"info":"number node, value=4561","layer":4},{"info":"compute binary expreesion, left_input=7619, right_input=4561, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=34750259","layer":3},{"info":"compute unary expreesion, input=34750259, 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 = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=162","layer":1},{"info":"compute binary expreesion, left_input=-42510, right_input=162, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=96","layer":0}],"base":5,"result_base":5,"text":"(⊤⊝⇑⪆21402∳⫺⇑⪆142121⊱⇼⊻(⇑⪆20144⋖∅⋲))⪛((≸(⇑⪆220434*⇑⪆121221))⫻⋑⊟)=⇑⪆341","reverse_text":"⇑⪆341=(⊤⊝⇑⪆21402∳⫺⇑⪆142121⊱⇼⊻(⇑⪆20144⋖∅⋲))⪛((≸(⇑⪆220434*⇑⪆121221))⫻⋑⊟)","cot":[{"info":"⇑⪆21402∳⫺⇑⪆142121=⇑⪆-141402","layer":3},{"info":"⇑⪆20144⋖∅⋲=⇑⪆-44243411","layer":3},{"info":"⇑⪆-141402⊱⇼⊻⇑⪆-44243411=⇑⪆-1124411","layer":2},{"info":"⊤⊝⇑⪆-1124411=⇑⪆-2330020","layer":1},{"info":"⇑⪆220434*⇑⪆121221=⇑⪆32344002014","layer":3},{"info":"≸⇑⪆32344002014=⇑⪆213","layer":2},{"info":"⇑⪆213⫻⋑⊟=⇑⪆1122","layer":1},{"info":"⇑⪆-2330020⪛⇑⪆1122=⇑⪆341","layer":0}]}
{"id":814,"expression_no_base_symbol":"(⊑(⇨$1646$))⨑⩅≇(⨰⫟⨤$3618$⪮%⊝$1433$)⋻⩜⩜(⊵⊁($4681$⩇∃⫛$2784$))⊨(⋃$5386$)⇣⩺⋵(⩩$1673$)","expression":"(⊑(⇨⇑⪆23041))⨑⩅≇(⨰⫟⨤⇑⪆103433⪮%⊝⇑⪆21213)⋻⩜⩜(⊵⊁(⇑⪆122211⩇∃⫛⇑⪆42114))⊨(⋃⇑⪆133021)⇣⩺⋵(⩩⇑⪆23143)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":34973,"operation_count":12,"complexity_ratio":2914.4166666666665,"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":1646,"base":5}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3618,"base":5},"right_expr":{"type":"numeric_atoms","value":1433,"base":5}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":4681,"base":5},"right_expr":{"type":"numeric_atoms","value":2784,"base":5}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":5386,"base":5}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1673,"base":5}}}}},"used_operators":["oDCm7WA9JY","h92wMvzauj","IkUmn0D7oy","G9tJMlZ94a","Tw270M8GLb","IWmyXbctLI","vg4gO5BX6G","AvED76WdY7","1aApVXNlOP","F4yD0voBRQ","3mBM5G4a3l","kMhfGuqI2H"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","uBihLCJcMX","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","g55IO6H4Gj","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1646","layer":4},{"info":"compute unary expreesion, input=1646, op_id = G9tJMlZ94a, unary_op_definition = '⇨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":"number node, value=3618","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=3618, right_input=1433, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7552","layer":3},{"info":"compute unary expreesion, input=7552, 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=192, 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=4681","layer":4},{"info":"number node, value=2784","layer":4},{"info":"compute binary expreesion, left_input=4681, right_input=2784, 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=-1424","layer":3},{"info":"compute unary expreesion, input=-1424, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":2},{"info":"number node, value=5386","layer":4},{"info":"compute unary expreesion, input=5386, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=10874","layer":3},{"info":"number node, value=1673","layer":4},{"info":"compute unary expreesion, input=1673, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10874, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-260, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-174, 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":5,"result_base":5,"text":"(⊑(⇨⇑⪆23041))⨑⩅≇(⨰⫟⨤⇑⪆103433⪮%⊝⇑⪆21213)⋻⩜⩜(⊵⊁(⇑⪆122211⩇∃⫛⇑⪆42114))⊨(⋃⇑⪆133021)⇣⩺⋵(⩩⇑⪆23143)=NaN","reverse_text":"NaN=(⊑(⇨⇑⪆23041))⨑⩅≇(⨰⫟⨤⇑⪆103433⪮%⊝⇑⪆21213)⋻⩜⩜(⊵⊁(⇑⪆122211⩇∃⫛⇑⪆42114))⊨(⋃⇑⪆133021)⇣⩺⋵(⩩⇑⪆23143)","cot":[{"info":"⇨⇑⪆23041=⇑⪆0","layer":3},{"info":"⊑⇑⪆0=⇑⪆1232","layer":2},{"info":"⇑⪆103433⪮%⊝⇑⪆21213=⇑⪆220202","layer":3},{"info":"⨰⫟⨤⇑⪆220202=NaN","layer":2},{"info":"⇑⪆1232⨑⩅≇NaN=NaN","layer":1},{"info":"⇑⪆122211⩇∃⫛⇑⪆42114=⇑⪆-21144","layer":3},{"info":"⊵⊁⇑⪆-21144=⇑⪆0","layer":2},{"info":"⋃⇑⪆133021=⇑⪆321444","layer":3},{"info":"⩩⇑⪆23143=NaN","layer":3},{"info":"⇑⪆321444⇣⩺⋵NaN=⇑⪆-2020","layer":2},{"info":"⇑⪆0⊨⇑⪆-2020=⇑⪆-1144","layer":1},{"info":"NaN⋻⩜⩜⇑⪆-1144=NaN","layer":0}]}
{"id":815,"expression_no_base_symbol":"(⇐((⊁⨺$7007$)⋛($2681$⋓$6298$)))↤⩊((≇⪴($2702$+$4940$))⪢($3318$⨐⩸⫘$1764$)≴⪞⇿($1005$⪨≂$2434$))","expression":"(⇐((⊁⨺⇑⪆211012)⋛(⇑⪆41211⋓⇑⪆200143)))↤⩊((≇⪴(⇑⪆41302+⇑⪆124230))⪢(⇑⪆101233⨐⩸⫘⇑⪆24024)≴⪞⇿(⇑⪆13010⪨≂⇑⪆34214))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":562,"operation_count":11,"complexity_ratio":51.09090909090909,"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":7007,"base":5}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2681,"base":5},"right_expr":{"type":"numeric_atoms","value":6298,"base":5}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2702,"base":5},"right_expr":{"type":"numeric_atoms","value":4940,"base":5}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3318,"base":5},"right_expr":{"type":"numeric_atoms","value":1764,"base":5}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1005,"base":5},"right_expr":{"type":"numeric_atoms","value":2434,"base":5}}}}},"used_operators":["13rbtpv6ld","nmZMaaE0Q9","YbUVn0Rbpy","PxiHyQbrIp","T2fj7uvVaJ","dWAJyo7jo9","zoVPnxeHJ3","W4YGzv6Whe","lvlrscuwVU","fu6greOZ01","sdazOOVcIp"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7007","layer":4},{"info":"compute unary expreesion, input=7007, 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=2681","layer":4},{"info":"number node, value=6298","layer":4},{"info":"compute binary expreesion, left_input=2681, right_input=6298, 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=160, 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=-124674","layer":2},{"info":"compute unary expreesion, input=-124674, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-5016","layer":1},{"info":"number node, value=2702","layer":4},{"info":"number node, value=4940","layer":4},{"info":"compute binary expreesion, left_input=2702, right_input=4940, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7642","layer":3},{"info":"compute unary expreesion, input=7642, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-21586","layer":2},{"info":"number node, value=3318","layer":4},{"info":"number node, value=1764","layer":4},{"info":"compute binary expreesion, left_input=3318, right_input=1764, 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=1005","layer":4},{"info":"number node, value=2434","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=2434, 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=-2756","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2756, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21586, 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=-5016, 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":5,"result_base":5,"text":"(⇐((⊁⨺⇑⪆211012)⋛(⇑⪆41211⋓⇑⪆200143)))↤⩊((≇⪴(⇑⪆41302+⇑⪆124230))⪢(⇑⪆101233⨐⩸⫘⇑⪆24024)≴⪞⇿(⇑⪆13010⪨≂⇑⪆34214))=NaN","reverse_text":"NaN=(⇐((⊁⨺⇑⪆211012)⋛(⇑⪆41211⋓⇑⪆200143)))↤⩊((≇⪴(⇑⪆41302+⇑⪆124230))⪢(⇑⪆101233⨐⩸⫘⇑⪆24024)≴⪞⇿(⇑⪆13010⪨≂⇑⪆34214))","cot":[{"info":"⊁⨺⇑⪆211012=⇑⪆1120","layer":3},{"info":"⇑⪆41211⋓⇑⪆200143=⇑⪆0","layer":3},{"info":"⇑⪆1120⋛⇑⪆0=⇑⪆-12442144","layer":2},{"info":"⇐⇑⪆-12442144=⇑⪆-130031","layer":1},{"info":"⇑⪆41302+⇑⪆124230=⇑⪆221032","layer":3},{"info":"≇⪴⇑⪆221032=⇑⪆-1142321","layer":2},{"info":"⇑⪆101233⨐⩸⫘⇑⪆24024=NaN","layer":3},{"info":"⇑⪆13010⪨≂⇑⪆34214=⇑⪆-42011","layer":3},{"info":"NaN≴⪞⇿⇑⪆-42011=NaN","layer":2},{"info":"⇑⪆-1142321⪢NaN=NaN","layer":1},{"info":"⇑⪆-130031↤⩊NaN=NaN","layer":0}]}
{"id":816,"expression_no_base_symbol":"(($2090$∌$2544$)⪔⊥$3375$≦↸$6337$∕⩚(≅≯⇸$2769$⨸$2428$))⫯⪬∳(($6381$⫚↹⊑$2266$)⇼⇔∾($4736$⪊≅))≴⪞⇿(≱⇩⩕$2851$⪇≇⋚$2904$)","expression":"((⇑⪆31330∌⇑⪆40134)⪔⊥⇑⪆102000≦↸⇑⪆200322∕⩚(≅≯⇸⇑⪆42034⨸⇑⪆34203))⫯⪬∳((⇑⪆201011⫚↹⊑⇑⪆33031)⇼⇔∾(⇑⪆122421⪊≅))≴⪞⇿(≱⇩⩕⇑⪆42401⪇≇⋚⇑⪆43104)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6553,"operation_count":13,"complexity_ratio":504.0769230769231,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2090,"base":5},"right_expr":{"type":"numeric_atoms","value":2544,"base":5}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3375,"base":5},"right_expr":{"type":"numeric_atoms","value":6337,"base":5}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2769,"base":5},"right_expr":{"type":"numeric_atoms","value":2428,"base":5}}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":6381,"base":5},"right_expr":{"type":"numeric_atoms","value":2266,"base":5}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":4736,"base":5}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2851,"base":5},"right_expr":{"type":"numeric_atoms","value":2904,"base":5}}}}},"used_operators":["d7ASUq0ydm","z9ffQ9n5Zr","HJ9erzHUuu","8cLx32lpNA","RygbFNSyEJ","apS25hmuAe","KmoU8R5UQR","lvlrscuwVU","tifHPKVTfV","dfKe02y8D2","bjFbhXSADs","3DZMoQKiUl","3sJ7IOPOlU"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","EBcxylXtPf","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"⇑⪆301230","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2090","layer":4},{"info":"number node, value=2544","layer":4},{"info":"compute binary expreesion, left_input=2090, right_input=2544, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2544","layer":3},{"info":"number node, value=3375","layer":4},{"info":"number node, value=6337","layer":4},{"info":"compute binary expreesion, left_input=3375, right_input=6337, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-18743","layer":3},{"info":"compute binary expreesion, left_input=-2544, right_input=-18743, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=3343","layer":2},{"info":"number node, value=2769","layer":4},{"info":"number node, value=2428","layer":4},{"info":"compute binary expreesion, left_input=2769, right_input=2428, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=5538","layer":3},{"info":"compute unary expreesion, input=5538, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=29829","layer":2},{"info":"compute binary expreesion, left_input=3343, right_input=29829, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3346","layer":1},{"info":"number node, value=6381","layer":4},{"info":"number node, value=2266","layer":4},{"info":"compute binary expreesion, left_input=6381, right_input=2266, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=4736","layer":4},{"info":"compute unary expreesion, input=4736, 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=-447, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=447","layer":2},{"info":"number node, value=2851","layer":4},{"info":"number node, value=2904","layer":4},{"info":"compute binary expreesion, left_input=2851, right_input=2904, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=447, right_input=113, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=49281","layer":1},{"info":"compute binary expreesion, left_input=-3346, right_input=49281, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=9565","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆31330∌⇑⪆40134)⪔⊥⇑⪆102000≦↸⇑⪆200322∕⩚(≅≯⇸⇑⪆42034⨸⇑⪆34203))⫯⪬∳((⇑⪆201011⫚↹⊑⇑⪆33031)⇼⇔∾(⇑⪆122421⪊≅))≴⪞⇿(≱⇩⩕⇑⪆42401⪇≇⋚⇑⪆43104)=⇑⪆301230","reverse_text":"⇑⪆301230=((⇑⪆31330∌⇑⪆40134)⪔⊥⇑⪆102000≦↸⇑⪆200322∕⩚(≅≯⇸⇑⪆42034⨸⇑⪆34203))⫯⪬∳((⇑⪆201011⫚↹⊑⇑⪆33031)⇼⇔∾(⇑⪆122421⪊≅))≴⪞⇿(≱⇩⩕⇑⪆42401⪇≇⋚⇑⪆43104)","cot":[{"info":"⇑⪆31330∌⇑⪆40134=⇑⪆-40134","layer":3},{"info":"⇑⪆102000≦↸⇑⪆200322=⇑⪆-1044433","layer":3},{"info":"⇑⪆-40134⪔⊥⇑⪆-1044433=⇑⪆101333","layer":2},{"info":"⇑⪆42034⨸⇑⪆34203=⇑⪆134123","layer":3},{"info":"≅≯⇸⇑⪆134123=⇑⪆1423304","layer":2},{"info":"⇑⪆101333∕⩚⇑⪆1423304=⇑⪆-101341","layer":1},{"info":"⇑⪆201011⫚↹⊑⇑⪆33031=⇑⪆-3242","layer":3},{"info":"⇑⪆122421⪊≅=⇑⪆0","layer":3},{"info":"⇑⪆-3242⇼⇔∾⇑⪆0=⇑⪆3242","layer":2},{"info":"⇑⪆42401⪇≇⋚⇑⪆43104=⇑⪆0","layer":3},{"info":"≱⇩⩕⇑⪆0=⇑⪆423","layer":2},{"info":"⇑⪆3242≴⪞⇿⇑⪆423=⇑⪆3034111","layer":1},{"info":"⇑⪆-101341⫯⪬∳⇑⪆3034111=⇑⪆301230","layer":0}]}
{"id":817,"expression_no_base_symbol":"⩒∊($2237$⇍⊗$3861$/$8016$⊭↱$7438$)⋥⋵⩄($6718$↬$5362$⩷∴$3204$⋛$1599$)","expression":"⩒∊(⇑⪆32422⇍⊗⇑⪆110421/⇑⪆224031⊭↱⇑⪆214223)⋥⋵⩄(⇑⪆203333↬⇑⪆132422⩷∴⇑⪆100304⋛⇑⪆22344)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":362,"operation_count":8,"complexity_ratio":45.25,"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":2237,"base":5},"right_expr":{"type":"numeric_atoms","value":3861,"base":5}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":8016,"base":5},"right_expr":{"type":"numeric_atoms","value":7438,"base":5}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6718,"base":5},"right_expr":{"type":"numeric_atoms","value":5362,"base":5}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3204,"base":5},"right_expr":{"type":"numeric_atoms","value":1599,"base":5}}}}},"used_operators":["qazvmhNBbN","7t3wd0Fuz7","XhwjNDsVaA","5uvYHDjeKN","COABgblf1C","9FxExcQeMw","B5M0gjZbta","YbUVn0Rbpy"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2237","layer":4},{"info":"number node, value=3861","layer":4},{"info":"compute binary expreesion, left_input=2237, right_input=3861, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=8016","layer":4},{"info":"number node, value=7438","layer":4},{"info":"compute binary expreesion, left_input=8016, right_input=7438, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1151","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=-1151, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=6718","layer":4},{"info":"number node, value=5362","layer":4},{"info":"compute binary expreesion, left_input=6718, right_input=5362, 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=3204","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=3204, right_input=1599, 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=-103356","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-103356, 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=0, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⩒∊(⇑⪆32422⇍⊗⇑⪆110421/⇑⪆224031⊭↱⇑⪆214223)⋥⋵⩄(⇑⪆203333↬⇑⪆132422⩷∴⇑⪆100304⋛⇑⪆22344)=NaN","reverse_text":"NaN=⩒∊(⇑⪆32422⇍⊗⇑⪆110421/⇑⪆224031⊭↱⇑⪆214223)⋥⋵⩄(⇑⪆203333↬⇑⪆132422⩷∴⇑⪆100304⋛⇑⪆22344)","cot":[{"info":"⇑⪆32422⇍⊗⇑⪆110421=⇑⪆-1434","layer":3},{"info":"⇑⪆224031⊭↱⇑⪆214223=⇑⪆-14101","layer":3},{"info":"⇑⪆-1434/⇑⪆-14101=⇑⪆0","layer":2},{"info":"⇑⪆203333↬⇑⪆132422=NaN","layer":3},{"info":"⇑⪆100304⋛⇑⪆22344=⇑⪆-11301411","layer":3},{"info":"NaN⩷∴⇑⪆-11301411=NaN","layer":2},{"info":"⇑⪆0⋥⋵⩄NaN=NaN","layer":1},{"info":"⩒∊NaN=NaN","layer":0}]}
{"id":818,"expression_no_base_symbol":"(($4225$⊢$2197$)⫁⪎($2042$⊬⨰$3613$)⩨(⇉-⫰(+⊝⨔$2148$)))⋣⋖($1497$∋$2583$≀⫉($1032$⋹))⫯⪬∳($2538$⋣⋖$2973$)↓(⫎≠⋺$6226$)","expression":"((⇑⪆113400⊢⇑⪆32242)⫁⪎(⇑⪆31132⊬⨰⇑⪆103423)⩨(⇉-⫰(+⊝⨔⇑⪆32043)))⋣⋖(⇑⪆21442∋⇑⪆40313≀⫉(⇑⪆13112⋹))⫯⪬∳(⇑⪆40123⋣⋖⇑⪆43343)↓(⫎≠⋺⇑⪆144401)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":732,"operation_count":14,"complexity_ratio":52.285714285714285,"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":4225,"base":5},"right_expr":{"type":"numeric_atoms","value":2197,"base":5}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2042,"base":5},"right_expr":{"type":"numeric_atoms","value":3613,"base":5}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2148,"base":5}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1497,"base":5},"right_expr":{"type":"numeric_atoms","value":2583,"base":5}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":1032,"base":5}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2538,"base":5},"right_expr":{"type":"numeric_atoms","value":2973,"base":5}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":6226,"base":5}}}}},"used_operators":["J0M6qkBnIM","2DlMacCsIx","xRrnTEsQ6j","5twsqlHp2o","s3Fd5m9Dh2","IGFM8TAlm9","DhbWaqg5eL","d7ASUq0ydm","oZj3VtZNQx","ukq6epAj5P","opAxDRczMr","Af076pWI7l","LYeZOJ0nQG"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eH2TOUuTDT","eewbuw0ToL","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"⇑⪆3","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4225","layer":4},{"info":"number node, value=2197","layer":4},{"info":"compute binary expreesion, left_input=4225, right_input=2197, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-8694","layer":3},{"info":"number node, value=2042","layer":4},{"info":"number node, value=3613","layer":4},{"info":"compute binary expreesion, left_input=2042, right_input=3613, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=15438","layer":3},{"info":"compute binary expreesion, left_input=-8694, right_input=15438, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-24132","layer":2},{"info":"number node, value=2148","layer":4},{"info":"compute unary expreesion, input=2148, 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 = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=-24132, right_input=20, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":1},{"info":"number node, value=1497","layer":4},{"info":"number node, value=2583","layer":4},{"info":"compute binary expreesion, left_input=1497, right_input=2583, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=5376148","layer":3},{"info":"number node, value=1032","layer":4},{"info":"compute unary expreesion, input=1032, 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=5376148, right_input=-20, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=2538","layer":4},{"info":"number node, value=2973","layer":4},{"info":"compute binary expreesion, left_input=2538, right_input=2973, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2538","layer":3},{"info":"number node, value=6226","layer":4},{"info":"compute unary expreesion, input=6226, 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=2538, 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=2822, right_input=-242, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=14385","layer":1},{"info":"compute binary expreesion, left_input=3, right_input=14385, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆113400⊢⇑⪆32242)⫁⪎(⇑⪆31132⊬⨰⇑⪆103423)⩨(⇉-⫰(+⊝⨔⇑⪆32043)))⋣⋖(⇑⪆21442∋⇑⪆40313≀⫉(⇑⪆13112⋹))⫯⪬∳(⇑⪆40123⋣⋖⇑⪆43343)↓(⫎≠⋺⇑⪆144401)=⇑⪆3","reverse_text":"⇑⪆3=((⇑⪆113400⊢⇑⪆32242)⫁⪎(⇑⪆31132⊬⨰⇑⪆103423)⩨(⇉-⫰(+⊝⨔⇑⪆32043)))⋣⋖(⇑⪆21442∋⇑⪆40313≀⫉(⇑⪆13112⋹))⫯⪬∳(⇑⪆40123⋣⋖⇑⪆43343)↓(⫎≠⋺⇑⪆144401)","cot":[{"info":"⇑⪆113400⊢⇑⪆32242=⇑⪆-234234","layer":3},{"info":"⇑⪆31132⊬⨰⇑⪆103423=⇑⪆443223","layer":3},{"info":"⇑⪆-234234⫁⪎⇑⪆443223=⇑⪆-1233012","layer":2},{"info":"+⊝⨔⇑⪆32043=⇑⪆22042","layer":3},{"info":"⇉-⫰⇑⪆22042=⇑⪆40","layer":2},{"info":"⇑⪆-1233012⩨⇑⪆40=⇑⪆3","layer":1},{"info":"⇑⪆21442∋⇑⪆40313=⇑⪆2334014043","layer":3},{"info":"⇑⪆13112⋹=⇑⪆-40","layer":3},{"info":"⇑⪆2334014043≀⫉⇑⪆-40=⇑⪆42242","layer":2},{"info":"⇑⪆40123⋣⋖⇑⪆43343=⇑⪆40123","layer":3},{"info":"⫎≠⋺⇑⪆144401=⇑⪆0","layer":3},{"info":"⇑⪆40123↓⇑⪆0=⇑⪆-1432","layer":2},{"info":"⇑⪆42242⫯⪬∳⇑⪆-1432=⇑⪆430020","layer":1},{"info":"⇑⪆3⋣⋖⇑⪆430020=⇑⪆3","layer":0}]}
{"id":819,"expression_no_base_symbol":"(($3796$⪟⇏$2061$)⇡⇂($2576$∊∟⩊$2857$)⨲)⩼⇪↪(($2605$⫁⪎$4351$⪨≂($1238$⪎⩰))+⇶⊼(⊿(⋣$1016$)))","expression":"((⇑⪆110141⪟⇏⇑⪆31221)⇡⇂(⇑⪆40301∊∟⩊⇑⪆42412)⨲)⩼⇪↪((⇑⪆40410⫁⪎⇑⪆114401⪨≂(⇑⪆14423⪎⩰))+⇶⊼(⊿(⋣⇑⪆13031)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20610,"operation_count":11,"complexity_ratio":1873.6363636363637,"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":3796,"base":5},"right_expr":{"type":"numeric_atoms","value":2061,"base":5}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2576,"base":5},"right_expr":{"type":"numeric_atoms","value":2857,"base":5}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2605,"base":5},"right_expr":{"type":"numeric_atoms","value":4351,"base":5}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":1238,"base":5}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1016,"base":5}}}}},"used_operators":["ocnLzx9CaJ","nLYMGWM7L8","UMwdvZNt44","GODebY97qR","ddLRYrp01A","TpPTUOHfaN","sdazOOVcIp","xRrnTEsQ6j","2ufhKmSs5H","DO4fhlbJSI","zQWRhDnn8F"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3796","layer":4},{"info":"number node, value=2061","layer":4},{"info":"compute binary expreesion, left_input=3796, right_input=2061, 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=2576","layer":4},{"info":"number node, value=2857","layer":4},{"info":"compute binary expreesion, left_input=2576, right_input=2857, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2857","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=2857, 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=4","layer":2},{"info":"compute unary expreesion, input=4, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=3888733","layer":1},{"info":"number node, value=2605","layer":4},{"info":"number node, value=4351","layer":4},{"info":"compute binary expreesion, left_input=2605, right_input=4351, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1746","layer":3},{"info":"number node, value=1238","layer":4},{"info":"compute unary expreesion, input=1238, 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=-1746, right_input=-34, 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=-3322","layer":2},{"info":"number node, value=1016","layer":4},{"info":"compute unary expreesion, input=1016, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-298609","layer":3},{"info":"compute unary expreesion, input=-298609, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=1195822","layer":2},{"info":"compute binary expreesion, left_input=-3322, right_input=1195822, 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=3888733, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆110141⪟⇏⇑⪆31221)⇡⇂(⇑⪆40301∊∟⩊⇑⪆42412)⨲)⩼⇪↪((⇑⪆40410⫁⪎⇑⪆114401⪨≂(⇑⪆14423⪎⩰))+⇶⊼(⊿(⋣⇑⪆13031)))=NaN","reverse_text":"NaN=((⇑⪆110141⪟⇏⇑⪆31221)⇡⇂(⇑⪆40301∊∟⩊⇑⪆42412)⨲)⩼⇪↪((⇑⪆40410⫁⪎⇑⪆114401⪨≂(⇑⪆14423⪎⩰))+⇶⊼(⊿(⋣⇑⪆13031)))","cot":[{"info":"⇑⪆110141⪟⇏⇑⪆31221=⇑⪆-1","layer":3},{"info":"⇑⪆40301∊∟⩊⇑⪆42412=⇑⪆42412","layer":3},{"info":"⇑⪆-1⇡⇂⇑⪆42412=⇑⪆4","layer":2},{"info":"⇑⪆4⨲=⇑⪆1443414413","layer":1},{"info":"⇑⪆40410⫁⪎⇑⪆114401=⇑⪆-23441","layer":3},{"info":"⇑⪆14423⪎⩰=⇑⪆-114","layer":3},{"info":"⇑⪆-23441⪨≂⇑⪆-114=⇑⪆-101242","layer":2},{"info":"⋣⇑⪆13031=⇑⪆-34023414","layer":3},{"info":"⊿⇑⪆-34023414=⇑⪆301231242","layer":2},{"info":"⇑⪆-101242+⇶⊼⇑⪆301231242=NaN","layer":1},{"info":"⇑⪆1443414413⩼⇪↪NaN=NaN","layer":0}]}
{"id":820,"expression_no_base_symbol":"(↩$1173$≴⪞⇿$1900$)⪚($1192$↛⩡⫤)⊮⊟↴(⩰$1355$)↙($6465$⩷∴$3783$)⩼⇪↪(⨑⩽⪐$4235$)∋(($5405$⪎⩰)∌($1859$⪘⨀))","expression":"(↩⇑⪆14143≴⪞⇿⇑⪆30100)⪚(⇑⪆14232↛⩡⫤)⊮⊟↴(⩰⇑⪆20410)↙(⇑⪆201330⩷∴⇑⪆110113)⩼⇪↪(⨑⩽⪐⇑⪆113420)∋((⇑⪆133110⪎⩰)∌(⇑⪆24414⪘⨀))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":209943,"operation_count":14,"complexity_ratio":14995.92857142857,"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":1173,"base":5},"right_expr":{"type":"numeric_atoms","value":1900,"base":5}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1192,"base":5}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1355,"base":5}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6465,"base":5},"right_expr":{"type":"numeric_atoms","value":3783,"base":5}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4235,"base":5}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":5405,"base":5}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":1859,"base":5}}}}},"used_operators":["yyfyN0ffXY","HrjLwUk87U","jLgFTUHLKL","lvlrscuwVU","QDVgd2eftb","FU0Cs4j7VP","WkeUrDK8WX","ukq6epAj5P","ocnLzx9CaJ","9FxExcQeMw","AF7qkfDlqP","8cLx32lpNA","2ufhKmSs5H","aA7tF3KVD3"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA"],"result":"⇑⪆124142002","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1173","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=1900, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1620234","layer":3},{"info":"compute unary expreesion, input=1620234, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-12959092","layer":2},{"info":"number node, value=1192","layer":4},{"info":"compute unary expreesion, input=1192, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-176081","layer":3},{"info":"number node, value=1355","layer":4},{"info":"compute unary expreesion, input=1355, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2355","layer":3},{"info":"compute binary expreesion, left_input=-176081, right_input=-2355, 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=-12959092, right_input=0, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=25917308","layer":1},{"info":"number node, value=6465","layer":4},{"info":"number node, value=3783","layer":4},{"info":"compute binary expreesion, left_input=6465, right_input=3783, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5332","layer":3},{"info":"number node, value=4235","layer":4},{"info":"compute unary expreesion, input=4235, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3962","layer":3},{"info":"compute binary expreesion, left_input=5332, right_input=-3962, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=37615","layer":2},{"info":"number node, value=5405","layer":4},{"info":"compute unary expreesion, input=5405, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"number node, value=1859","layer":4},{"info":"compute unary expreesion, input=1859, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-4299","layer":3},{"info":"compute binary expreesion, left_input=-34, right_input=-4299, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-34","layer":2},{"info":"compute binary expreesion, left_input=37615, right_input=-34, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-205084","layer":1},{"info":"compute binary expreesion, left_input=25917308, right_input=-205084, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=615252","layer":0}],"base":5,"result_base":5,"text":"(↩⇑⪆14143≴⪞⇿⇑⪆30100)⪚(⇑⪆14232↛⩡⫤)⊮⊟↴(⩰⇑⪆20410)↙(⇑⪆201330⩷∴⇑⪆110113)⩼⇪↪(⨑⩽⪐⇑⪆113420)∋((⇑⪆133110⪎⩰)∌(⇑⪆24414⪘⨀))=⇑⪆124142002","reverse_text":"⇑⪆124142002=(↩⇑⪆14143≴⪞⇿⇑⪆30100)⪚(⇑⪆14232↛⩡⫤)⊮⊟↴(⩰⇑⪆20410)↙(⇑⪆201330⩷∴⇑⪆110113)⩼⇪↪(⨑⩽⪐⇑⪆113420)∋((⇑⪆133110⪎⩰)∌(⇑⪆24414⪘⨀))","cot":[{"info":"⇑⪆14143≴⪞⇿⇑⪆30100=⇑⪆403321414","layer":3},{"info":"↩⇑⪆403321414=⇑⪆-11304142332","layer":2},{"info":"⇑⪆14232↛⩡⫤=⇑⪆-21113311","layer":3},{"info":"⩰⇑⪆20410=⇑⪆-33410","layer":3},{"info":"⇑⪆-21113311⊮⊟↴⇑⪆-33410=⇑⪆0","layer":2},{"info":"⇑⪆-11304142332⪚⇑⪆0=⇑⪆23113323213","layer":1},{"info":"⇑⪆201330⩷∴⇑⪆110113=⇑⪆132312","layer":3},{"info":"⨑⩽⪐⇑⪆113420=⇑⪆-111322","layer":3},{"info":"⇑⪆132312⩼⇪↪⇑⪆-111322=⇑⪆2200430","layer":2},{"info":"⇑⪆133110⪎⩰=⇑⪆-114","layer":3},{"info":"⇑⪆24414⪘⨀=⇑⪆-114144","layer":3},{"info":"⇑⪆-114∌⇑⪆-114144=⇑⪆-114","layer":2},{"info":"⇑⪆2200430∋⇑⪆-114=⇑⪆-23030314","layer":1},{"info":"⇑⪆23113323213↙⇑⪆-23030314=⇑⪆124142002","layer":0}]}
{"id":821,"expression_no_base_symbol":"(($4501$⪨⊡$6753$⨑≵⋬(↣≠⋷$2799$))⋣⋖((↓⇌$1059$)⪁$3413$⪄$3279$))∴((≀↧⇸$4461$)∌($1168$⩍⋽⫝̸$3111$)⩤)","expression":"((⇑⪆121001⪨⊡⇑⪆204003⨑≵⋬(↣≠⋷⇑⪆42144))⋣⋖((↓⇌⇑⪆13214)⪁⇑⪆102123⪄⇑⪆101104))∴((≀↧⇸⇑⪆120321)∌(⇑⪆14133⩍⋽⫝̸⇑⪆44421)⩤)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":515576,"operation_count":12,"complexity_ratio":42964.666666666664,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4501,"base":5},"right_expr":{"type":"numeric_atoms","value":6753,"base":5}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2799,"base":5}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1059,"base":5}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3413,"base":5},"right_expr":{"type":"numeric_atoms","value":3279,"base":5}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":4461,"base":5}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1168,"base":5},"right_expr":{"type":"numeric_atoms","value":3111,"base":5}}}}},"used_operators":["hrf7POJlIJ","J0M6qkBnIM","XnXgA4xnOs","kuIXHzHcAH","Asc51vEJeQ","I7sXao9hZE","PxpmPgHHJV","SUmda5xLS4","Z2TMIBDE3Q","8cLx32lpNA","ljTHtUsqzn","BiWNJpBvwn"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4501","layer":4},{"info":"number node, value=6753","layer":4},{"info":"compute binary expreesion, left_input=4501, right_input=6753, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2799","layer":4},{"info":"compute unary expreesion, input=2799, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":2},{"info":"number node, value=1059","layer":4},{"info":"compute unary expreesion, input=1059, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1059","layer":3},{"info":"number node, value=3413","layer":4},{"info":"number node, value=3279","layer":4},{"info":"compute binary expreesion, left_input=3413, right_input=3279, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-514329","layer":3},{"info":"compute binary expreesion, left_input=1059, right_input=-514329, 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 = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":1},{"info":"number node, value=4461","layer":4},{"info":"compute unary expreesion, input=4461, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=8922","layer":3},{"info":"number node, value=1168","layer":4},{"info":"number node, value=3111","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=3111, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2165","layer":3},{"info":"compute binary expreesion, left_input=8922, right_input=2165, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2165","layer":2},{"info":"compute unary expreesion, input=-2165, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=2165","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2165, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆121001⪨⊡⇑⪆204003⨑≵⋬(↣≠⋷⇑⪆42144))⋣⋖((↓⇌⇑⪆13214)⪁⇑⪆102123⪄⇑⪆101104))∴((≀↧⇸⇑⪆120321)∌(⇑⪆14133⩍⋽⫝̸⇑⪆44421)⩤)=NaN","reverse_text":"NaN=((⇑⪆121001⪨⊡⇑⪆204003⨑≵⋬(↣≠⋷⇑⪆42144))⋣⋖((↓⇌⇑⪆13214)⪁⇑⪆102123⪄⇑⪆101104))∴((≀↧⇸⇑⪆120321)∌(⇑⪆14133⩍⋽⫝̸⇑⪆44421)⩤)","cot":[{"info":"⇑⪆121001⪨⊡⇑⪆204003=⇑⪆0","layer":3},{"info":"↣≠⋷⇑⪆42144=NaN","layer":3},{"info":"⇑⪆0⨑≵⋬NaN=NaN","layer":2},{"info":"↓⇌⇑⪆13214=⇑⪆13214","layer":3},{"info":"⇑⪆102123⪄⇑⪆101104=⇑⪆-112424304","layer":3},{"info":"⇑⪆13214⪁⇑⪆-112424304=NaN","layer":2},{"info":"NaN⋣⋖NaN=NaN","layer":1},{"info":"≀↧⇸⇑⪆120321=⇑⪆241142","layer":3},{"info":"⇑⪆14133⩍⋽⫝̸⇑⪆44421=⇑⪆32130","layer":3},{"info":"⇑⪆241142∌⇑⪆32130=⇑⪆-32130","layer":2},{"info":"⇑⪆-32130⩤=⇑⪆32130","layer":1},{"info":"NaN∴⇑⪆32130=NaN","layer":0}]}
{"id":822,"expression_no_base_symbol":"(($1017$⪕$1044$)↓($8330$⪡$2992$)%($1117$⩭)⨰($2840$⋥≓≎$3779$))⊴(⪹($6377$⫥∨⫟$1247$⋷($1489$⋘⨑⨽)))","expression":"((⇑⪆13032⪕⇑⪆13134)↓(⇑⪆231310⪡⇑⪆43432)%(⇑⪆13432⩭)⨰(⇑⪆42330⋥≓≎⇑⪆110104))⊴(⪹(⇑⪆201002⫥∨⫟⇑⪆14442⋷(⇑⪆21424⋘⨑⨽)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":32462,"operation_count":12,"complexity_ratio":2705.1666666666665,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1017,"base":5},"right_expr":{"type":"numeric_atoms","value":1044,"base":5}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":8330,"base":5},"right_expr":{"type":"numeric_atoms","value":2992,"base":5}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":1117,"base":5}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2840,"base":5},"right_expr":{"type":"numeric_atoms","value":3779,"base":5}}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6377,"base":5},"right_expr":{"type":"numeric_atoms","value":1247,"base":5}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":1489,"base":5}}}}},"used_operators":["Nsiff2A1zJ","k8jYdgA6NY","Af076pWI7l","umQnsF7QlU","oraRL2iQuh","eewbuw0ToL","yIPP7u6H5x","Qy55tPpLXF","USyYr0JgAa","23Mk6UjR3U","KYD54nUTWz","WmT3o8z6ya"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1017","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=1044, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1891","layer":3},{"info":"number node, value=8330","layer":4},{"info":"number node, value=2992","layer":4},{"info":"compute binary expreesion, left_input=8330, right_input=2992, 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=1891, right_input=107, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=10004","layer":2},{"info":"number node, value=1117","layer":4},{"info":"compute unary expreesion, input=1117, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"number node, value=2840","layer":4},{"info":"number node, value=3779","layer":4},{"info":"compute binary expreesion, left_input=2840, right_input=3779, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4751","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4751, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10004, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6377","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=6377, right_input=1247, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1489","layer":4},{"info":"compute unary expreesion, input=1489, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=8228","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8228, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆13032⪕⇑⪆13134)↓(⇑⪆231310⪡⇑⪆43432)%(⇑⪆13432⩭)⨰(⇑⪆42330⋥≓≎⇑⪆110104))⊴(⪹(⇑⪆201002⫥∨⫟⇑⪆14442⋷(⇑⪆21424⋘⨑⨽)))=NaN","reverse_text":"NaN=((⇑⪆13032⪕⇑⪆13134)↓(⇑⪆231310⪡⇑⪆43432)%(⇑⪆13432⩭)⨰(⇑⪆42330⋥≓≎⇑⪆110104))⊴(⪹(⇑⪆201002⫥∨⫟⇑⪆14442⋷(⇑⪆21424⋘⨑⨽)))","cot":[{"info":"⇑⪆13032⪕⇑⪆13134=⇑⪆30031","layer":3},{"info":"⇑⪆231310⪡⇑⪆43432=⇑⪆412","layer":3},{"info":"⇑⪆30031↓⇑⪆412=⇑⪆310004","layer":2},{"info":"⇑⪆13432⩭=NaN","layer":3},{"info":"⇑⪆42330⋥≓≎⇑⪆110104=⇑⪆123001","layer":3},{"info":"NaN⨰⇑⪆123001=NaN","layer":2},{"info":"⇑⪆310004%NaN=NaN","layer":1},{"info":"⇑⪆201002⫥∨⫟⇑⪆14442=NaN","layer":3},{"info":"⇑⪆21424⋘⨑⨽=⇑⪆230403","layer":3},{"info":"NaN⋷⇑⪆230403=NaN","layer":2},{"info":"⪹NaN=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":823,"expression_no_base_symbol":"⇈(($5671$⩘$3136$⪇≇⋚($1366$≝⊰⇂))∛(⋃($1369$≭$1015$)))","expression":"⇈((⇑⪆140141⩘⇑⪆100021⪇≇⋚(⇑⪆20431≝⊰⇂))∛(⋃(⇑⪆20434≭⇑⪆13030)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2597,"operation_count":7,"complexity_ratio":371.0,"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":5671,"base":5},"right_expr":{"type":"numeric_atoms","value":3136,"base":5}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":1366,"base":5}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1369,"base":5},"right_expr":{"type":"numeric_atoms","value":1015,"base":5}}}}},"used_operators":["SLLxy00UIr","w2537kitQq","3sJ7IOPOlU","cHh1gJQ2o6","htSmYCowi5","3mBM5G4a3l","rxpJgHHUmx"],"dependent_operators":["Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9FxExcQeMw","DlLNRPXxWL","g55IO6H4Gj","AHs5Up7iyr"],"result":"⇑⪆-3242","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5671","layer":4},{"info":"number node, value=3136","layer":4},{"info":"compute binary expreesion, left_input=5671, right_input=3136, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1366","layer":4},{"info":"compute unary expreesion, input=1366, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=1369","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=1015, 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 = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":0}],"base":5,"result_base":5,"text":"⇈((⇑⪆140141⩘⇑⪆100021⪇≇⋚(⇑⪆20431≝⊰⇂))∛(⋃(⇑⪆20434≭⇑⪆13030)))=⇑⪆-3242","reverse_text":"⇑⪆-3242=⇈((⇑⪆140141⩘⇑⪆100021⪇≇⋚(⇑⪆20431≝⊰⇂))∛(⋃(⇑⪆20434≭⇑⪆13030)))","cot":[{"info":"⇑⪆140141⩘⇑⪆100021=⇑⪆1120","layer":3},{"info":"⇑⪆20431≝⊰⇂=⇑⪆0","layer":3},{"info":"⇑⪆1120⪇≇⋚⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆20434≭⇑⪆13030=NaN","layer":3},{"info":"⋃NaN=NaN","layer":2},{"info":"⇑⪆0∛NaN=⇑⪆232","layer":1},{"info":"⇈⇑⪆232=⇑⪆-3242","layer":0}]}
{"id":824,"expression_no_base_symbol":"(≤/(≤/$3665$))→⨶⪴($5447$≬⋮$5486$⫌⩉⩟$3846$⪔$1635$)⩨(($7871$⫿)⨎⋸⪻)⩚⊴⇥(≑⋹($2869$⇍⊗$1190$))","expression":"(≤/(≤/⇑⪆104130))→⨶⪴(⇑⪆133242≬⋮⇑⪆133421⫌⩉⩟⇑⪆110341⪔⇑⪆23020)⩨((⇑⪆222441⫿)⨎⋸⪻)⩚⊴⇥(≑⋹(⇑⪆42434⇍⊗⇑⪆14230))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":210657,"operation_count":12,"complexity_ratio":17554.75,"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":3665,"base":5}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":5447,"base":5},"right_expr":{"type":"numeric_atoms","value":5486,"base":5}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3846,"base":5},"right_expr":{"type":"numeric_atoms","value":1635,"base":5}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":7871,"base":5}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2869,"base":5},"right_expr":{"type":"numeric_atoms","value":1190,"base":5}}}}},"used_operators":["2DlMacCsIx","bF6eod5Gvf","eLAdDNolq6","XIIwhv8d0m","kbkesczE7y","GjBEYRfMaF","NTOWxs364D","Dk5vyLCiGd","9tKT6PmtkH","6B9nyZLogK","5uvYHDjeKN"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","IWmyXbctLI","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"⇑⪆14","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3665","layer":4},{"info":"compute unary expreesion, input=3665, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3181","layer":3},{"info":"compute unary expreesion, input=-3181, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=3665","layer":2},{"info":"number node, value=5447","layer":4},{"info":"number node, value=5486","layer":4},{"info":"compute binary expreesion, left_input=5447, right_input=5486, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=3846","layer":4},{"info":"number node, value=1635","layer":4},{"info":"compute binary expreesion, left_input=3846, right_input=1635, 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=868, right_input=450, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=3665, right_input=-50, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=7398","layer":1},{"info":"number node, value=7871","layer":4},{"info":"compute unary expreesion, input=7871, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=7871","layer":3},{"info":"compute unary expreesion, input=7871, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=16058","layer":2},{"info":"number node, value=2869","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=2869, right_input=1190, 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 = 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=16058, right_input=-766, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-15413","layer":1},{"info":"compute binary expreesion, left_input=7398, right_input=-15413, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=9","layer":0}],"base":5,"result_base":5,"text":"(≤/(≤/⇑⪆104130))→⨶⪴(⇑⪆133242≬⋮⇑⪆133421⫌⩉⩟⇑⪆110341⪔⇑⪆23020)⩨((⇑⪆222441⫿)⨎⋸⪻)⩚⊴⇥(≑⋹(⇑⪆42434⇍⊗⇑⪆14230))=⇑⪆14","reverse_text":"⇑⪆14=(≤/(≤/⇑⪆104130))→⨶⪴(⇑⪆133242≬⋮⇑⪆133421⫌⩉⩟⇑⪆110341⪔⇑⪆23020)⩨((⇑⪆222441⫿)⨎⋸⪻)⩚⊴⇥(≑⋹(⇑⪆42434⇍⊗⇑⪆14230))","cot":[{"info":"≤/⇑⪆104130=⇑⪆-100211","layer":3},{"info":"≤/⇑⪆-100211=⇑⪆104130","layer":2},{"info":"⇑⪆133242≬⋮⇑⪆133421=⇑⪆11433","layer":3},{"info":"⇑⪆110341⪔⇑⪆23020=⇑⪆3300","layer":3},{"info":"⇑⪆11433⫌⩉⩟⇑⪆3300=⇑⪆-200","layer":2},{"info":"⇑⪆104130→⨶⪴⇑⪆-200=⇑⪆214043","layer":1},{"info":"⇑⪆222441⫿=⇑⪆222441","layer":3},{"info":"⇑⪆222441⨎⋸⪻=⇑⪆1003213","layer":2},{"info":"⇑⪆42434⇍⊗⇑⪆14230=⇑⪆-1434","layer":3},{"info":"≑⋹⇑⪆-1434=⇑⪆-11031","layer":2},{"info":"⇑⪆1003213⩚⊴⇥⇑⪆-11031=⇑⪆-443123","layer":1},{"info":"⇑⪆214043⩨⇑⪆-443123=⇑⪆14","layer":0}]}
{"id":825,"expression_no_base_symbol":"((⩷⨜⫀($2305$+⪬∐$3340$))↺($1295$⪛$1993$)⪝($3368$⇣⩺⋵$2133$))⩦((($1999$⩧⪆$4351$)⇀∌)⫒⫫($8318$⪪$1482$⪶≀⋏(↡$3072$)))","expression":"((⩷⨜⫀(⇑⪆33210+⪬∐⇑⪆101330))↺(⇑⪆20140⪛⇑⪆30433)⪝(⇑⪆101433⇣⩺⋵⇑⪆32013))⩦(((⇑⪆30444⩧⪆⇑⪆114401)⇀∌)⫒⫫(⇑⪆231233⪪⇑⪆21412⪶≀⋏(↡⇑⪆44242)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":25773,"operation_count":13,"complexity_ratio":1982.5384615384614,"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":2305,"base":5},"right_expr":{"type":"numeric_atoms","value":3340,"base":5}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1295,"base":5},"right_expr":{"type":"numeric_atoms","value":1993,"base":5}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":3368,"base":5},"right_expr":{"type":"numeric_atoms","value":2133,"base":5}}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1999,"base":5},"right_expr":{"type":"numeric_atoms","value":4351,"base":5}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":8318,"base":5},"right_expr":{"type":"numeric_atoms","value":1482,"base":5}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":3072,"base":5}}}}},"used_operators":["0kmYd0q39Y","7j4O788W3g","CDi0ktkjQ4","2GS7woTJqF","wicAB68Tmb","uFcxV4UQCh","F4yD0voBRQ","6Ko8hGgeMq","2k53nXOpI5","Ikt5ks8PT7","zR4jO40bMj","xD69zh8xqp","MXaNJeIAZ3"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","ruOEQAzv1W","nhYeJWJD5X","g55IO6H4Gj","D4vGDi5EA2","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","eewbuw0ToL","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","FU0Cs4j7VP","JclMnS0uGI","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx"],"result":"⇑⪆-4130410","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2305","layer":4},{"info":"number node, value=3340","layer":4},{"info":"compute binary expreesion, left_input=2305, right_input=3340, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-6915","layer":3},{"info":"compute unary expreesion, input=-6915, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":2},{"info":"number node, value=1295","layer":4},{"info":"number node, value=1993","layer":4},{"info":"compute binary expreesion, left_input=1295, right_input=1993, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1295","layer":3},{"info":"number node, value=3368","layer":4},{"info":"number node, value=2133","layer":4},{"info":"compute binary expreesion, left_input=3368, right_input=2133, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=1295, right_input=-260, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-6619","layer":2},{"info":"compute binary expreesion, left_input=-766, right_input=-6619, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-6619","layer":1},{"info":"number node, value=1999","layer":4},{"info":"number node, value=4351","layer":4},{"info":"compute binary expreesion, left_input=1999, right_input=4351, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4351","layer":3},{"info":"compute unary expreesion, input=-4351, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":2},{"info":"number node, value=8318","layer":4},{"info":"number node, value=1482","layer":4},{"info":"compute binary expreesion, left_input=8318, right_input=1482, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1252107","layer":3},{"info":"number node, value=3072","layer":4},{"info":"compute unary expreesion, input=3072, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=27648","layer":3},{"info":"compute binary expreesion, left_input=-1252107, right_input=27648, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=221184","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=221184, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=113","layer":1},{"info":"compute binary expreesion, left_input=-6619, right_input=113, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-67605","layer":0}],"base":5,"result_base":5,"text":"((⩷⨜⫀(⇑⪆33210+⪬∐⇑⪆101330))↺(⇑⪆20140⪛⇑⪆30433)⪝(⇑⪆101433⇣⩺⋵⇑⪆32013))⩦(((⇑⪆30444⩧⪆⇑⪆114401)⇀∌)⫒⫫(⇑⪆231233⪪⇑⪆21412⪶≀⋏(↡⇑⪆44242)))=⇑⪆-4130410","reverse_text":"⇑⪆-4130410=((⩷⨜⫀(⇑⪆33210+⪬∐⇑⪆101330))↺(⇑⪆20140⪛⇑⪆30433)⪝(⇑⪆101433⇣⩺⋵⇑⪆32013))⩦(((⇑⪆30444⩧⪆⇑⪆114401)⇀∌)⫒⫫(⇑⪆231233⪪⇑⪆21412⪶≀⋏(↡⇑⪆44242)))","cot":[{"info":"⇑⪆33210+⪬∐⇑⪆101330=⇑⪆-210130","layer":3},{"info":"⩷⨜⫀⇑⪆-210130=⇑⪆-11031","layer":2},{"info":"⇑⪆20140⪛⇑⪆30433=⇑⪆20140","layer":3},{"info":"⇑⪆101433⇣⩺⋵⇑⪆32013=⇑⪆-2020","layer":3},{"info":"⇑⪆20140⪝⇑⪆-2020=⇑⪆-202434","layer":2},{"info":"⇑⪆-11031↺⇑⪆-202434=⇑⪆-202434","layer":1},{"info":"⇑⪆30444⩧⪆⇑⪆114401=⇑⪆-114401","layer":3},{"info":"⇑⪆-114401⇀∌=⇑⪆423","layer":2},{"info":"⇑⪆231233⪪⇑⪆21412=⇑⪆-310031412","layer":3},{"info":"↡⇑⪆44242=⇑⪆1341043","layer":3},{"info":"⇑⪆-310031412⪶≀⋏⇑⪆1341043=⇑⪆24034214","layer":2},{"info":"⇑⪆423⫒⫫⇑⪆24034214=⇑⪆423","layer":1},{"info":"⇑⪆-202434⩦⇑⪆423=⇑⪆-4130410","layer":0}]}
{"id":826,"expression_no_base_symbol":"⨛($1038$⊮⊟↴$8700$⪡(⇜$4519$)⪐)","expression":"⨛(⇑⪆13123⊮⊟↴⇑⪆234300⪡(⇜⇑⪆121034)⪐)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1196,"operation_count":5,"complexity_ratio":239.2,"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":1038,"base":5},"right_expr":{"type":"numeric_atoms","value":8700,"base":5}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":4519,"base":5}}}}},"used_operators":["CoMdbyAt7R","eH2TOUuTDT","oraRL2iQuh","QDVgd2eftb","lFBm8KRb8F"],"dependent_operators":["U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1038","layer":4},{"info":"number node, value=8700","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=8700, 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=4519","layer":4},{"info":"compute unary expreesion, input=4519, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-36560","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-36560, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1936","layer":2},{"info":"compute unary expreesion, input=-1936, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-3872","layer":1},{"info":"compute unary expreesion, input=-3872, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=0","layer":0}],"base":5,"result_base":5,"text":"⨛(⇑⪆13123⊮⊟↴⇑⪆234300⪡(⇜⇑⪆121034)⪐)=⇑⪆0","reverse_text":"⇑⪆0=⨛(⇑⪆13123⊮⊟↴⇑⪆234300⪡(⇜⇑⪆121034)⪐)","cot":[{"info":"⇑⪆13123⊮⊟↴⇑⪆234300=⇑⪆0","layer":3},{"info":"⇜⇑⪆121034=⇑⪆-2132220","layer":3},{"info":"⇑⪆0⪡⇑⪆-2132220=⇑⪆-30221","layer":2},{"info":"⇑⪆-30221⪐=⇑⪆-110442","layer":1},{"info":"⨛⇑⪆-110442=⇑⪆0","layer":0}]}
{"id":827,"expression_no_base_symbol":"(($4144$%$2968$)↸($1513$⋻⩜⩜$2035$)⨸⪁(⨝⨆$2170$∠⫱$4272$))⋾⨃∁(($1127$⋅⇍$3933$)⇍⊗($2633$⊲⩕⊾$5761$)⨓($4648$∺≝⩲$5930$↱(≉$3277$)))","expression":"((⇑⪆113034%⇑⪆43333)↸(⇑⪆22023⋻⩜⩜⇑⪆31120)⨸⪁(⨝⨆⇑⪆32140∠⫱⇑⪆114042))⋾⨃∁((⇑⪆14002⋅⇍⇑⪆111213)⇍⊗(⇑⪆41013⊲⩕⊾⇑⪆141021)⨓(⇑⪆122043∺≝⩲⇑⪆142210↱(≉⇑⪆101102)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":52070,"operation_count":14,"complexity_ratio":3719.285714285714,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4144,"base":5},"right_expr":{"type":"numeric_atoms","value":2968,"base":5}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1513,"base":5},"right_expr":{"type":"numeric_atoms","value":2035,"base":5}}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2170,"base":5},"right_expr":{"type":"numeric_atoms","value":4272,"base":5}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1127,"base":5},"right_expr":{"type":"numeric_atoms","value":3933,"base":5}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2633,"base":5},"right_expr":{"type":"numeric_atoms","value":5761,"base":5}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4648,"base":5},"right_expr":{"type":"numeric_atoms","value":5930,"base":5}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3277,"base":5}}}}},"used_operators":["212REbPD9h","g55IO6H4Gj","1eCjFl0mb9","k8jYdgA6NY","oDCm7WA9JY","bQ67fsrMVf","QvoQhV0rrE","3ViojmjbAp","5uvYHDjeKN","AdZkA7nFnk","DmTXOeWf9t","SR5kFfdi6N","KPf6cnQVty","e1ybzncUwg"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","tifHPKVTfV","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆4413031014003","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4144","layer":4},{"info":"number node, value=2968","layer":4},{"info":"compute binary expreesion, left_input=4144, right_input=2968, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1176","layer":3},{"info":"number node, value=1513","layer":4},{"info":"number node, value=2035","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=2035, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3026","layer":3},{"info":"compute binary expreesion, left_input=1176, right_input=3026, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1176","layer":2},{"info":"number node, value=2170","layer":4},{"info":"number node, value=4272","layer":4},{"info":"compute binary expreesion, left_input=2170, right_input=4272, 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 = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1025","layer":2},{"info":"compute binary expreesion, left_input=1176, right_input=1025, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4402","layer":1},{"info":"number node, value=1127","layer":4},{"info":"number node, value=3933","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=3933, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=2633","layer":4},{"info":"number node, value=5761","layer":4},{"info":"compute binary expreesion, left_input=2633, right_input=5761, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-96368","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-96368, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=4648","layer":4},{"info":"number node, value=5930","layer":4},{"info":"compute binary expreesion, left_input=4648, right_input=5930, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=3277","layer":4},{"info":"compute unary expreesion, input=3277, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3808","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3808, 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=-10902","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=-10902, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=10899","layer":1},{"info":"compute binary expreesion, left_input=4402, right_input=10899, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=1187751128","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆113034%⇑⪆43333)↸(⇑⪆22023⋻⩜⩜⇑⪆31120)⨸⪁(⨝⨆⇑⪆32140∠⫱⇑⪆114042))⋾⨃∁((⇑⪆14002⋅⇍⇑⪆111213)⇍⊗(⇑⪆41013⊲⩕⊾⇑⪆141021)⨓(⇑⪆122043∺≝⩲⇑⪆142210↱(≉⇑⪆101102)))=⇑⪆4413031014003","reverse_text":"⇑⪆4413031014003=((⇑⪆113034%⇑⪆43333)↸(⇑⪆22023⋻⩜⩜⇑⪆31120)⨸⪁(⨝⨆⇑⪆32140∠⫱⇑⪆114042))⋾⨃∁((⇑⪆14002⋅⇍⇑⪆111213)⇍⊗(⇑⪆41013⊲⩕⊾⇑⪆141021)⨓(⇑⪆122043∺≝⩲⇑⪆142210↱(≉⇑⪆101102)))","cot":[{"info":"⇑⪆113034%⇑⪆43333=⇑⪆14201","layer":3},{"info":"⇑⪆22023⋻⩜⩜⇑⪆31120=⇑⪆44101","layer":3},{"info":"⇑⪆14201↸⇑⪆44101=⇑⪆14201","layer":2},{"info":"⇑⪆32140∠⫱⇑⪆114042=⇑⪆14414","layer":3},{"info":"⨝⨆⇑⪆14414=⇑⪆13100","layer":2},{"info":"⇑⪆14201⨸⪁⇑⪆13100=⇑⪆120102","layer":1},{"info":"⇑⪆14002⋅⇍⇑⪆111213=⇑⪆-42","layer":3},{"info":"⇑⪆41013⊲⩕⊾⇑⪆141021=⇑⪆-11040433","layer":3},{"info":"⇑⪆-42⇍⊗⇑⪆-11040433=⇑⪆-1434","layer":2},{"info":"⇑⪆122043∺≝⩲⇑⪆142210=⇑⪆1120","layer":3},{"info":"≉⇑⪆101102=⇑⪆110213","layer":3},{"info":"⇑⪆1120↱⇑⪆110213=⇑⪆-322102","layer":2},{"info":"⇑⪆-1434⨓⇑⪆-322102=⇑⪆322044","layer":1},{"info":"⇑⪆120102⋾⨃∁⇑⪆322044=⇑⪆4413031014003","layer":0}]}
{"id":828,"expression_no_base_symbol":"(⫎≠⋺(⪁⇼$7637$⫞⩸⩒$3586$))⫔⩽⩺(($4611$⊉≛↸$3748$)⨎$1396$∥⊢⊲$3128$)+⪬∐(($8631$↦)⫩⊇)","expression":"(⫎≠⋺(⪁⇼⇑⪆221022⫞⩸⩒⇑⪆103321))⫔⩽⩺((⇑⪆121421⊉≛↸⇑⪆104443)⨎⇑⪆21041∥⊢⊲⇑⪆100003)+⪬∐((⇑⪆234011↦)⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":225265,"operation_count":10,"complexity_ratio":22526.5,"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":7637,"base":5},"right_expr":{"type":"numeric_atoms","value":3586,"base":5}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4611,"base":5},"right_expr":{"type":"numeric_atoms","value":3748,"base":5}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1396,"base":5},"right_expr":{"type":"numeric_atoms","value":3128,"base":5}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":8631,"base":5}}}}},"used_operators":["i9eR4S00cU","LYeZOJ0nQG","ZNVVrZ94lY","XGcMNugi78","2GS7woTJqF","rJVOvQCfKK","DZ8iAZOCBD","v1UQAVDJRr","BjRHVeLaeN","fFznvYxMfW"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","g55IO6H4Gj","D4vGDi5EA2","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7637","layer":4},{"info":"number node, value=3586","layer":4},{"info":"compute binary expreesion, left_input=7637, right_input=3586, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3586","layer":3},{"info":"compute unary expreesion, input=3586, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute unary expreesion, input=422, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":1},{"info":"number node, value=4611","layer":4},{"info":"number node, value=3748","layer":4},{"info":"compute binary expreesion, left_input=4611, right_input=3748, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9222","layer":3},{"info":"number node, value=1396","layer":4},{"info":"number node, value=3128","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=3128, 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=9222, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"number node, value=8631","layer":4},{"info":"compute unary expreesion, input=8631, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-709, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⫎≠⋺(⪁⇼⇑⪆221022⫞⩸⩒⇑⪆103321))⫔⩽⩺((⇑⪆121421⊉≛↸⇑⪆104443)⨎⇑⪆21041∥⊢⊲⇑⪆100003)+⪬∐((⇑⪆234011↦)⫩⊇)=NaN","reverse_text":"NaN=(⫎≠⋺(⪁⇼⇑⪆221022⫞⩸⩒⇑⪆103321))⫔⩽⩺((⇑⪆121421⊉≛↸⇑⪆104443)⨎⇑⪆21041∥⊢⊲⇑⪆100003)+⪬∐((⇑⪆234011↦)⫩⊇)","cot":[{"info":"⇑⪆221022⫞⩸⩒⇑⪆103321=⇑⪆103321","layer":3},{"info":"⪁⇼⇑⪆103321=⇑⪆3142","layer":2},{"info":"⫎≠⋺⇑⪆3142=⇑⪆-10314","layer":1},{"info":"⇑⪆121421⊉≛↸⇑⪆104443=⇑⪆243342","layer":3},{"info":"⇑⪆21041∥⊢⊲⇑⪆100003=NaN","layer":3},{"info":"⇑⪆243342⨎NaN=NaN","layer":2},{"info":"⇑⪆234011↦=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"NaN+⪬∐NaN=NaN","layer":1},{"info":"⇑⪆-10314⫔⩽⩺NaN=NaN","layer":0}]}
{"id":829,"expression_no_base_symbol":"⨴⫝($1356$⊢$2379$⋻⩜⩜$2270$∛$6439$)⪒⊣⊆($3537$⪢$1326$↺$1512$⨿$3342$)","expression":"⨴⫝(⇑⪆20411⊢⇑⪆34004⋻⩜⩜⇑⪆33040∛⇑⪆201224)⪒⊣⊆(⇑⪆103122⪢⇑⪆20301↺⇑⪆22022⨿⇑⪆101332)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11533,"operation_count":8,"complexity_ratio":1441.625,"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":1356,"base":5},"right_expr":{"type":"numeric_atoms","value":2379,"base":5}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2270,"base":5},"right_expr":{"type":"numeric_atoms","value":6439,"base":5}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3537,"base":5},"right_expr":{"type":"numeric_atoms","value":1326,"base":5}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1512,"base":5},"right_expr":{"type":"numeric_atoms","value":3342,"base":5}}}}},"used_operators":["SVb2v531z1","eRqsBgTDFp","oDCm7WA9JY","5twsqlHp2o","w2537kitQq","7j4O788W3g","dWAJyo7jo9","abYXlopdE0"],"dependent_operators":["oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","sdazOOVcIp","W4YGzv6Whe","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1356","layer":4},{"info":"number node, value=2379","layer":4},{"info":"compute binary expreesion, left_input=1356, right_input=2379, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2956","layer":3},{"info":"number node, value=2270","layer":4},{"info":"number node, value=6439","layer":4},{"info":"compute binary expreesion, left_input=2270, right_input=6439, 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=-2956, right_input=-670, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"number node, value=3537","layer":4},{"info":"number node, value=1326","layer":4},{"info":"compute binary expreesion, left_input=3537, right_input=1326, 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=1512","layer":4},{"info":"number node, value=3342","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=3342, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":1},{"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":0}],"base":5,"result_base":5,"text":"⨴⫝(⇑⪆20411⊢⇑⪆34004⋻⩜⩜⇑⪆33040∛⇑⪆201224)⪒⊣⊆(⇑⪆103122⪢⇑⪆20301↺⇑⪆22022⨿⇑⪆101332)=NaN","reverse_text":"NaN=⨴⫝(⇑⪆20411⊢⇑⪆34004⋻⩜⩜⇑⪆33040∛⇑⪆201224)⪒⊣⊆(⇑⪆103122⪢⇑⪆20301↺⇑⪆22022⨿⇑⪆101332)","cot":[{"info":"⇑⪆20411⊢⇑⪆34004=⇑⪆-43311","layer":3},{"info":"⇑⪆33040∛⇑⪆201224=⇑⪆-10140","layer":3},{"info":"⇑⪆-43311⋻⩜⩜⇑⪆-10140=NaN","layer":2},{"info":"⇑⪆103122⪢⇑⪆20301=NaN","layer":3},{"info":"⇑⪆22022⨿⇑⪆101332=⇑⪆-2234","layer":3},{"info":"NaN↺⇑⪆-2234=⇑⪆-2234","layer":2},{"info":"NaN⪒⊣⊆⇑⪆-2234=NaN","layer":1},{"info":"⨴⫝NaN=NaN","layer":0}]}
{"id":830,"expression_no_base_symbol":"(($1598$⊭↱$2486$)⩱)⪍↜⋙((⨮↦↱$4830$)⊦⊿)⫸⇳($2519$⩁⩘$1501$≓∲($2124$⇔⨋))↹⊜((↓⇌$3896$)*($1056$∪⫐$1129$))","expression":"((⇑⪆22343⊭↱⇑⪆34421)⩱)⪍↜⋙((⨮↦↱⇑⪆123310)⊦⊿)⫸⇳(⇑⪆40034⩁⩘⇑⪆22001≓∲(⇑⪆31444⇔⨋))↹⊜((↓⇌⇑⪆111041)*(⇑⪆13211∪⫐⇑⪆14004))","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5626,"operation_count":13,"complexity_ratio":432.7692307692308,"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":1598,"base":5},"right_expr":{"type":"numeric_atoms","value":2486,"base":5}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":4830,"base":5}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2519,"base":5},"right_expr":{"type":"numeric_atoms","value":1501,"base":5}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":2124,"base":5}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":3896,"base":5}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1056,"base":5},"right_expr":{"type":"numeric_atoms","value":1129,"base":5}}}}},"used_operators":["gx7XJ7hdpj","L05ObWFQCd","uyq1hVkAcj","COABgblf1C","14qkJME0vr","sYcpBQ0cFf","9bazX3JMtO","s1XTVnmDOJ","gub5Cegaqo","uBihLCJcMX","9HNa5Wba9A","PxpmPgHHJV","7YooWSwCyH"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","DpFCA1CohY","IWmyXbctLI","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","rJVOvQCfKK","2DDjHMKMc0"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1598","layer":4},{"info":"number node, value=2486","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=2486, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1781","layer":3},{"info":"compute unary expreesion, input=1781, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-10936","layer":2},{"info":"number node, value=4830","layer":4},{"info":"compute unary expreesion, input=4830, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-56460762","layer":3},{"info":"compute unary expreesion, input=-56460762, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=169382207","layer":2},{"info":"compute binary expreesion, left_input=-10936, right_input=169382207, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-338710517","layer":1},{"info":"number node, value=2519","layer":4},{"info":"number node, value=1501","layer":4},{"info":"compute binary expreesion, left_input=2519, right_input=1501, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6952","layer":3},{"info":"number node, value=2124","layer":4},{"info":"compute unary expreesion, input=2124, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=11674","layer":3},{"info":"compute binary expreesion, left_input=6952, right_input=11674, 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=70303","layer":2},{"info":"number node, value=3896","layer":4},{"info":"compute unary expreesion, input=3896, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=3896","layer":3},{"info":"number node, value=1056","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=1129, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1056","layer":3},{"info":"compute binary expreesion, left_input=3896, right_input=1056, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4114176","layer":2},{"info":"compute binary expreesion, left_input=70303, right_input=4114176, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-16316194","layer":1},{"info":"compute binary expreesion, left_input=-338710517, right_input=-16316194, 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":5,"result_base":5,"text":"((⇑⪆22343⊭↱⇑⪆34421)⩱)⪍↜⋙((⨮↦↱⇑⪆123310)⊦⊿)⫸⇳(⇑⪆40034⩁⩘⇑⪆22001≓∲(⇑⪆31444⇔⨋))↹⊜((↓⇌⇑⪆111041)*(⇑⪆13211∪⫐⇑⪆14004))=⇑⪆0","reverse_text":"⇑⪆0=((⇑⪆22343⊭↱⇑⪆34421)⩱)⪍↜⋙((⨮↦↱⇑⪆123310)⊦⊿)⫸⇳(⇑⪆40034⩁⩘⇑⪆22001≓∲(⇑⪆31444⇔⨋))↹⊜((↓⇌⇑⪆111041)*(⇑⪆13211∪⫐⇑⪆14004))","cot":[{"info":"⇑⪆22343⊭↱⇑⪆34421=⇑⪆24111","layer":3},{"info":"⇑⪆24111⩱=⇑⪆-322221","layer":2},{"info":"⨮↦↱⇑⪆123310=⇑⪆-103423221022","layer":3},{"info":"⇑⪆-103423221022⊦⊿=⇑⪆321330212312","layer":2},{"info":"⇑⪆-322221⪍↜⋙⇑⪆321330212312=⇑⪆-1143202214032","layer":1},{"info":"⇑⪆40034⩁⩘⇑⪆22001=⇑⪆210302","layer":3},{"info":"⇑⪆31444⇔⨋=⇑⪆333144","layer":3},{"info":"⇑⪆210302≓∲⇑⪆333144=⇑⪆4222203","layer":2},{"info":"↓⇌⇑⪆111041=⇑⪆111041","layer":3},{"info":"⇑⪆13211∪⫐⇑⪆14004=⇑⪆13211","layer":3},{"info":"⇑⪆111041*⇑⪆13211=⇑⪆2023123201","layer":2},{"info":"⇑⪆4222203↹⊜⇑⪆2023123201=⇑⪆-13134104234","layer":1},{"info":"⇑⪆-1143202214032⫸⇳⇑⪆-13134104234=⇑⪆0","layer":0}]}
{"id":831,"expression_no_base_symbol":"((⨭⩧⫛($3301$⪘⫢$6275$))∕⩚(⫖→(⨰⫟⨤$2071$)))⇐≅","expression":"((⨭⩧⫛(⇑⪆101201⪘⫢⇑⪆200100))∕⩚(⫖→(⨰⫟⨤⇑⪆31241)))⇐≅","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7816,"operation_count":6,"complexity_ratio":1302.6666666666667,"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":3301,"base":5},"right_expr":{"type":"numeric_atoms","value":6275,"base":5}}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2071,"base":5}}}}},"used_operators":["wEfv7U73WA","z9ffQ9n5Zr","g21JL6JxX7","oacrs7FA3X","U4ylXWHChL","Tw270M8GLb"],"dependent_operators":["9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"⇑⪆24","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=3301","layer":4},{"info":"number node, value=6275","layer":4},{"info":"compute binary expreesion, left_input=3301, right_input=6275, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6478","layer":3},{"info":"compute unary expreesion, input=6478, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"number node, value=2071","layer":4},{"info":"compute unary expreesion, input=2071, 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 = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=177, 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 = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=14","layer":0}],"base":5,"result_base":5,"text":"((⨭⩧⫛(⇑⪆101201⪘⫢⇑⪆200100))∕⩚(⫖→(⨰⫟⨤⇑⪆31241)))⇐≅=⇑⪆24","reverse_text":"⇑⪆24=((⨭⩧⫛(⇑⪆101201⪘⫢⇑⪆200100))∕⩚(⫖→(⨰⫟⨤⇑⪆31241)))⇐≅","cot":[{"info":"⇑⪆101201⪘⫢⇑⪆200100=⇑⪆201403","layer":3},{"info":"⨭⩧⫛⇑⪆201403=NaN","layer":2},{"info":"⨰⫟⨤⇑⪆31241=NaN","layer":3},{"info":"⫖→NaN=⇑⪆1202","layer":2},{"info":"NaN∕⩚⇑⪆1202=⇑⪆-3422","layer":1},{"info":"⇑⪆-3422⇐≅=⇑⪆24","layer":0}]}
{"id":832,"expression_no_base_symbol":"(($3272$↸$2754$)⋭≵(⇉-⫰$4850$))⨂≜($1005$∘$4300$⪡$3043$⋣⋖$3451$)↡⊰⫅(⪛⨧($1964$⇯⋐))∘(($3366$⨵⪆$5828$)⨪↰⇹$4669$⨿$1882$)","expression":"((⇑⪆101042↸⇑⪆42004)⋭≵(⇉-⫰⇑⪆123400))⨂≜(⇑⪆13010∘⇑⪆114200⪡⇑⪆44133⋣⋖⇑⪆102301)↡⊰⫅(⪛⨧(⇑⪆30324⇯⋐))∘((⇑⪆101431⨵⪆⇑⪆141303)⨪↰⇹⇑⪆122134⨿⇑⪆30012)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":218672,"operation_count":14,"complexity_ratio":15619.42857142857,"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":3272,"base":5},"right_expr":{"type":"numeric_atoms","value":2754,"base":5}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":4850,"base":5}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1005,"base":5},"right_expr":{"type":"numeric_atoms","value":4300,"base":5}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3043,"base":5},"right_expr":{"type":"numeric_atoms","value":3451,"base":5}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1964,"base":5}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3366,"base":5},"right_expr":{"type":"numeric_atoms","value":5828,"base":5}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":4669,"base":5},"right_expr":{"type":"numeric_atoms","value":1882,"base":5}}}}},"used_operators":["VCtxkLNOzz","k1SHOSEABc","jBncVCNhdl","1eCjFl0mb9","IGFM8TAlm9","oraRL2iQuh","Z5m6OM72h2","J0M6qkBnIM","6NJAcO2OWT","LkLIoiE525","tmPS8pqC7x","2DQ55sFlQl","abYXlopdE0"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eH2TOUuTDT","eewbuw0ToL","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eH2TOUuTDT","rysDP5nf3Z","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3272","layer":4},{"info":"number node, value=2754","layer":4},{"info":"compute binary expreesion, left_input=3272, right_input=2754, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3272","layer":3},{"info":"number node, value=4850","layer":4},{"info":"compute unary expreesion, input=4850, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=3272, right_input=20, 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=1005","layer":4},{"info":"number node, value=4300","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=4300, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2010","layer":3},{"info":"number node, value=3043","layer":4},{"info":"number node, value=3451","layer":4},{"info":"compute binary expreesion, left_input=3043, right_input=3451, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3043","layer":3},{"info":"compute binary expreesion, left_input=2010, right_input=3043, 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=67, right_input=107, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"number node, value=1964","layer":4},{"info":"compute unary expreesion, input=1964, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=6770","layer":3},{"info":"compute unary expreesion, input=6770, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=14941","layer":2},{"info":"number node, value=3366","layer":4},{"info":"number node, value=5828","layer":4},{"info":"compute binary expreesion, left_input=3366, right_input=5828, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4669","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=4669, right_input=1882, 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=160, right_input=-319, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=160","layer":2},{"info":"compute binary expreesion, left_input=14941, right_input=160, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-14561","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-14561, 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":5,"result_base":5,"text":"((⇑⪆101042↸⇑⪆42004)⋭≵(⇉-⫰⇑⪆123400))⨂≜(⇑⪆13010∘⇑⪆114200⪡⇑⪆44133⋣⋖⇑⪆102301)↡⊰⫅(⪛⨧(⇑⪆30324⇯⋐))∘((⇑⪆101431⨵⪆⇑⪆141303)⨪↰⇹⇑⪆122134⨿⇑⪆30012)=NaN","reverse_text":"NaN=((⇑⪆101042↸⇑⪆42004)⋭≵(⇉-⫰⇑⪆123400))⨂≜(⇑⪆13010∘⇑⪆114200⪡⇑⪆44133⋣⋖⇑⪆102301)↡⊰⫅(⪛⨧(⇑⪆30324⇯⋐))∘((⇑⪆101431⨵⪆⇑⪆141303)⨪↰⇹⇑⪆122134⨿⇑⪆30012)","cot":[{"info":"⇑⪆101042↸⇑⪆42004=⇑⪆101042","layer":3},{"info":"⇉-⫰⇑⪆123400=⇑⪆40","layer":3},{"info":"⇑⪆101042⋭≵⇑⪆40=⇑⪆232","layer":2},{"info":"⇑⪆13010∘⇑⪆114200=⇑⪆31020","layer":3},{"info":"⇑⪆44133⋣⋖⇑⪆102301=⇑⪆44133","layer":3},{"info":"⇑⪆31020⪡⇑⪆44133=⇑⪆412","layer":2},{"info":"⇑⪆232⨂≜⇑⪆412=NaN","layer":1},{"info":"⇑⪆30324⇯⋐=⇑⪆204040","layer":3},{"info":"⪛⨧⇑⪆204040=⇑⪆434231","layer":2},{"info":"⇑⪆101431⨵⪆⇑⪆141303=⇑⪆1120","layer":3},{"info":"⇑⪆122134⨿⇑⪆30012=⇑⪆-2234","layer":3},{"info":"⇑⪆1120⨪↰⇹⇑⪆-2234=⇑⪆1120","layer":2},{"info":"⇑⪆434231∘⇑⪆1120=⇑⪆-431221","layer":1},{"info":"NaN↡⊰⫅⇑⪆-431221=NaN","layer":0}]}
{"id":833,"expression_no_base_symbol":"⩦⩻⨪((⊊≼∋$1800$)⪕(⨩∲⋌$2054$))⨥⫆(($2528$⊢)⨳⩥⨓($1132$⋆⋳))","expression":"⩦⩻⨪((⊊≼∋⇑⪆24200)⪕(⨩∲⋌⇑⪆31204))⨥⫆((⇑⪆40103⊢)⨳⩥⨓(⇑⪆14012⋆⋳))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1875,"operation_count":8,"complexity_ratio":234.375,"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":1800,"base":5}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":2054,"base":5}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":2528,"base":5}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1132,"base":5}}}}},"used_operators":["2td37pGCOC","yXekIHxTD4","umQnsF7QlU","FWz7pXsQhA","aSik1wnThz","nCS4ZIUYfx","40aOVDgCDB","6MpZysEj17"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","B5M0gjZbta","jCPkEVoL5K","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd"],"result":"⇑⪆11314","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1800","layer":4},{"info":"compute unary expreesion, input=1800, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=2054","layer":4},{"info":"compute unary expreesion, input=2054, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2577","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-2577, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"number node, value=2528","layer":4},{"info":"compute unary expreesion, input=2528, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-2775","layer":3},{"info":"number node, value=1132","layer":4},{"info":"compute unary expreesion, input=1132, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-2296","layer":3},{"info":"compute binary expreesion, left_input=-2775, right_input=-2296, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=479","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=479, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=834","layer":1},{"info":"compute unary expreesion, input=834, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=834","layer":0}],"base":5,"result_base":5,"text":"⩦⩻⨪((⊊≼∋⇑⪆24200)⪕(⨩∲⋌⇑⪆31204))⨥⫆((⇑⪆40103⊢)⨳⩥⨓(⇑⪆14012⋆⋳))=⇑⪆11314","reverse_text":"⇑⪆11314=⩦⩻⨪((⊊≼∋⇑⪆24200)⪕(⨩∲⋌⇑⪆31204))⨥⫆((⇑⪆40103⊢)⨳⩥⨓(⇑⪆14012⋆⋳))","cot":[{"info":"⊊≼∋⇑⪆24200=⇑⪆-3242","layer":3},{"info":"⨩∲⋌⇑⪆31204=⇑⪆-40302","layer":3},{"info":"⇑⪆-3242⪕⇑⪆-40302=⇑⪆12220","layer":2},{"info":"⇑⪆40103⊢=⇑⪆-42100","layer":3},{"info":"⇑⪆14012⋆⋳=⇑⪆-33141","layer":3},{"info":"⇑⪆-42100⨳⩥⨓⇑⪆-33141=⇑⪆3404","layer":2},{"info":"⇑⪆12220⨥⫆⇑⪆3404=⇑⪆11314","layer":1},{"info":"⩦⩻⨪⇑⪆11314=⇑⪆11314","layer":0}]}
{"id":834,"expression_no_base_symbol":"(($5733$⨀⨒)⪚$1233$≁$2124$)⨔⇊(⩦⩻⨪(⋗⩬⋾$1121$))∙∹∝((⋣$1157$)⪇≇⋚$1598$⨚⇆$1941$∛≔)","expression":"((⇑⪆140413⨀⨒)⪚⇑⪆14413≁⇑⪆31444)⨔⇊(⩦⩻⨪(⋗⩬⋾⇑⪆13441))∙∹∝((⋣⇑⪆14112)⪇≇⋚⇑⪆22343⨚⇆⇑⪆30231∛≔)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11735,"operation_count":11,"complexity_ratio":1066.8181818181818,"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":5733,"base":5}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1233,"base":5},"right_expr":{"type":"numeric_atoms","value":2124,"base":5}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1121,"base":5}}}},"right_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1157,"base":5}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1598,"base":5},"right_expr":{"type":"numeric_atoms","value":1941,"base":5}}}}},"used_operators":["HmxsFra2vL","JclMnS0uGI","HrjLwUk87U","j6NVkjMzuk","8N2wDY1A35","2td37pGCOC","DpFCA1CohY","mGnSCrte3L","3sJ7IOPOlU","zQWRhDnn8F","lwHaAYXP2r"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5733","layer":4},{"info":"compute unary expreesion, input=5733, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=76994","layer":3},{"info":"number node, value=1233","layer":4},{"info":"number node, value=2124","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=2124, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=37775","layer":3},{"info":"compute binary expreesion, left_input=76994, right_input=37775, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=78082","layer":2},{"info":"number node, value=1121","layer":4},{"info":"compute unary expreesion, input=1121, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3363","layer":3},{"info":"compute unary expreesion, input=-3363, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-3363","layer":2},{"info":"compute binary expreesion, left_input=78082, right_input=-3363, 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=1157","layer":4},{"info":"compute unary expreesion, input=1157, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-340063","layer":3},{"info":"number node, value=1598","layer":4},{"info":"number node, value=1941","layer":4},{"info":"compute binary expreesion, left_input=1598, 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=-340063, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆140413⨀⨒)⪚⇑⪆14413≁⇑⪆31444)⨔⇊(⩦⩻⨪(⋗⩬⋾⇑⪆13441))∙∹∝((⋣⇑⪆14112)⪇≇⋚⇑⪆22343⨚⇆⇑⪆30231∛≔)=⇑⪆0","reverse_text":"⇑⪆0=((⇑⪆140413⨀⨒)⪚⇑⪆14413≁⇑⪆31444)⨔⇊(⩦⩻⨪(⋗⩬⋾⇑⪆13441))∙∹∝((⋣⇑⪆14112)⪇≇⋚⇑⪆22343⨚⇆⇑⪆30231∛≔)","cot":[{"info":"⇑⪆140413⨀⨒=⇑⪆4430434","layer":3},{"info":"⇑⪆14413≁⇑⪆31444=⇑⪆2202100","layer":3},{"info":"⇑⪆4430434⪚⇑⪆2202100=⇑⪆4444312","layer":2},{"info":"⋗⩬⋾⇑⪆13441=⇑⪆-101423","layer":3},{"info":"⩦⩻⨪⇑⪆-101423=⇑⪆-101423","layer":2},{"info":"⇑⪆4444312⨔⇊⇑⪆-101423=⇑⪆232","layer":1},{"info":"⋣⇑⪆14112=⇑⪆-41340223","layer":3},{"info":"⇑⪆22343⨚⇆⇑⪆30231=NaN","layer":3},{"info":"⇑⪆-41340223⪇≇⋚NaN=NaN","layer":2},{"info":"NaN∛≔=NaN","layer":1},{"info":"⇑⪆232∙∹∝NaN=⇑⪆0","layer":0}]}
{"id":835,"expression_no_base_symbol":"∐⩳⋚((⫇$1188$)⊋($3457$⨵⪆$1882$)↼⊘⨖($1673$⊋$1319$)≎⪠($4452$⪨≂$5589$))","expression":"∐⩳⋚((⫇⇑⪆14223)⊋(⇑⪆102312⨵⪆⇑⪆30012)↼⊘⨖(⇑⪆23143⊋⇑⪆20234)≎⪠(⇑⪆120302⪨≂⇑⪆134324))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":20182,"operation_count":8,"complexity_ratio":2522.75,"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":1188,"base":5}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3457,"base":5},"right_expr":{"type":"numeric_atoms","value":1882,"base":5}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1673,"base":5},"right_expr":{"type":"numeric_atoms","value":1319,"base":5}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4452,"base":5},"right_expr":{"type":"numeric_atoms","value":5589,"base":5}}}}},"used_operators":["SL6IHkK8vl","bPywburJMS","W4tP9CfskL","YjI8oCXuph","2DQ55sFlQl","aNhz54LH3e","sdazOOVcIp"],"dependent_operators":["s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rysDP5nf3Z","t8gj7n24qd"],"result":"⇑⪆2444321421","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1188","layer":4},{"info":"compute unary expreesion, input=1188, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-1162","layer":3},{"info":"number node, value=3457","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=3457, right_input=1882, 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=-1162, right_input=160, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-2254","layer":2},{"info":"number node, value=1673","layer":4},{"info":"number node, value=1319","layer":4},{"info":"compute binary expreesion, left_input=1673, right_input=1319, 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=3893844","layer":3},{"info":"number node, value=4452","layer":4},{"info":"number node, value=5589","layer":4},{"info":"compute binary expreesion, left_input=4452, right_input=5589, 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=-2172","layer":3},{"info":"compute binary expreesion, left_input=3893844, right_input=-2172, 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=-2254, right_input=19558, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=38894","layer":1},{"info":"compute unary expreesion, input=38894, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=5854611","layer":0}],"base":5,"result_base":5,"text":"∐⩳⋚((⫇⇑⪆14223)⊋(⇑⪆102312⨵⪆⇑⪆30012)↼⊘⨖(⇑⪆23143⊋⇑⪆20234)≎⪠(⇑⪆120302⪨≂⇑⪆134324))=⇑⪆2444321421","reverse_text":"⇑⪆2444321421=∐⩳⋚((⫇⇑⪆14223)⊋(⇑⪆102312⨵⪆⇑⪆30012)↼⊘⨖(⇑⪆23143⊋⇑⪆20234)≎⪠(⇑⪆120302⪨≂⇑⪆134324))","cot":[{"info":"⫇⇑⪆14223=⇑⪆-14122","layer":3},{"info":"⇑⪆102312⨵⪆⇑⪆30012=⇑⪆1120","layer":3},{"info":"⇑⪆-14122⊋⇑⪆1120=⇑⪆-33004","layer":2},{"info":"⇑⪆23143⊋⇑⪆20234=⇑⪆1444100334","layer":3},{"info":"⇑⪆120302⪨≂⇑⪆134324=⇑⪆-32142","layer":3},{"info":"⇑⪆1444100334≎⪠⇑⪆-32142=⇑⪆1111213","layer":2},{"info":"⇑⪆-33004↼⊘⨖⇑⪆1111213=⇑⪆2221034","layer":1},{"info":"∐⩳⋚⇑⪆2221034=⇑⪆2444321421","layer":0}]}
{"id":836,"expression_no_base_symbol":"((⨦⪝($1080$⋹))⋛$1383$≴⪞⇿$3933$⨐(⇐$4257$))∣(⇠($2230$≀⫉$3321$)⪢($3001$↰))","expression":"((⨦⪝(⇑⪆13310⋹))⋛⇑⪆21013≴⪞⇿⇑⪆111213⨐(⇐⇑⪆114012))∣(⇠(⇑⪆32410≀⫉⇑⪆101241)⪢(⇑⪆44001↰))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4934,"operation_count":11,"complexity_ratio":448.54545454545456,"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":1080,"base":5}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1383,"base":5},"right_expr":{"type":"numeric_atoms","value":3933,"base":5}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":4257,"base":5}}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2230,"base":5},"right_expr":{"type":"numeric_atoms","value":3321,"base":5}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":3001,"base":5}}}}},"used_operators":["PPChnnnBFF","YbUVn0Rbpy","SUjycxNXIR","opAxDRczMr","Noe24qw2ks","lvlrscuwVU","nmZMaaE0Q9","18saOjeKKm","dWAJyo7jo9","oZj3VtZNQx","bl5wxAcryP"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","k8jYdgA6NY","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","nCS4ZIUYfx","Z2TMIBDE3Q"],"result":"⇑⪆-12241122314","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1080","layer":4},{"info":"compute unary expreesion, input=1080, 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 = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"number node, value=1383","layer":4},{"info":"number node, value=3933","layer":4},{"info":"compute binary expreesion, left_input=1383, right_input=3933, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=2464434","layer":3},{"info":"number node, value=4257","layer":4},{"info":"compute unary expreesion, input=4257, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=12768","layer":3},{"info":"compute binary expreesion, left_input=2464434, right_input=12768, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4928868","layer":2},{"info":"compute binary expreesion, left_input=-1884, right_input=-4928868, 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=-14785959","layer":1},{"info":"number node, value=2230","layer":4},{"info":"number node, value=3321","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=3321, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=3001","layer":4},{"info":"compute unary expreesion, input=3001, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=2900","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=2900, 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 = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-14785959, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-14785959","layer":0}],"base":5,"result_base":5,"text":"((⨦⪝(⇑⪆13310⋹))⋛⇑⪆21013≴⪞⇿⇑⪆111213⨐(⇐⇑⪆114012))∣(⇠(⇑⪆32410≀⫉⇑⪆101241)⪢(⇑⪆44001↰))=⇑⪆-12241122314","reverse_text":"⇑⪆-12241122314=((⨦⪝(⇑⪆13310⋹))⋛⇑⪆21013≴⪞⇿⇑⪆111213⨐(⇐⇑⪆114012))∣(⇠(⇑⪆32410≀⫉⇑⪆101241)⪢(⇑⪆44001↰))","cot":[{"info":"⇑⪆13310⋹=⇑⪆-40","layer":3},{"info":"⨦⪝⇑⪆-40=⇑⪆-30014","layer":2},{"info":"⇑⪆21013≴⪞⇿⇑⪆111213=⇑⪆1112330214","layer":3},{"info":"⇐⇑⪆114012=⇑⪆402033","layer":3},{"info":"⇑⪆1112330214⨐⇑⪆402033=⇑⪆-2230210433","layer":2},{"info":"⇑⪆-30014⋛⇑⪆-2230210433=⇑⪆-12241122314","layer":1},{"info":"⇑⪆32410≀⫉⇑⪆101241=⇑⪆42242","layer":3},{"info":"⇑⪆44001↰=⇑⪆43100","layer":3},{"info":"⇑⪆42242⪢⇑⪆43100=NaN","layer":2},{"info":"⇠NaN=NaN","layer":1},{"info":"⇑⪆-12241122314∣NaN=⇑⪆-12241122314","layer":0}]}
{"id":837,"expression_no_base_symbol":"(($2498$⪮%⊝$3577$⩠)≄⊠(⊁⨺$2646$)⨪↰⇹(⋗⩴⪓$5742$))⪬((⊤⊝(⫶⊄≣$6749$))≁((⇠$2615$)⫸⇳$4222$∴$1340$))","expression":"((⇑⪆34443⪮%⊝⇑⪆103302⩠)≄⊠(⊁⨺⇑⪆41041)⨪↰⇹(⋗⩴⪓⇑⪆140432))⪬((⊤⊝(⫶⊄≣⇑⪆203444))≁((⇠⇑⪆40430)⫸⇳⇑⪆113342∴⇑⪆20330))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":13518,"operation_count":13,"complexity_ratio":1039.8461538461538,"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":2498,"base":5},"right_expr":{"type":"numeric_atoms","value":3577,"base":5}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":2646,"base":5}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":5742,"base":5}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":6749,"base":5}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":2615,"base":5}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":4222,"base":5},"right_expr":{"type":"numeric_atoms","value":1340,"base":5}}}}},"used_operators":["Ez1Nq5fNfI","vXNesLlMH1","sJAwomhLZr","IWmyXbctLI","tmPS8pqC7x","PxiHyQbrIp","nOKPl9n5zu","8N2wDY1A35","rXAclfmB4M","wxb3vTeyAj","gx7XJ7hdpj","18saOjeKKm","hrf7POJlIJ"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","sdazOOVcIp","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"⇑⪆14414","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2498","layer":4},{"info":"number node, value=3577","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=3577, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5312","layer":3},{"info":"compute unary expreesion, input=5312, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"number node, value=2646","layer":4},{"info":"compute unary expreesion, input=2646, 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=5742","layer":4},{"info":"compute unary expreesion, input=5742, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-4829","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-4829, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=160","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=160, 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=6749","layer":4},{"info":"compute unary expreesion, input=6749, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=820000189","layer":3},{"info":"compute unary expreesion, input=820000189, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1639999080","layer":2},{"info":"number node, value=2615","layer":4},{"info":"compute unary expreesion, input=2615, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2373","layer":3},{"info":"number node, value=4222","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=4222, right_input=1340, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=10092","layer":3},{"info":"compute binary expreesion, left_input=-2373, right_input=10092, 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=1639999080, 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=1500, right_input=-8941, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆34443⪮%⊝⇑⪆103302⩠)≄⊠(⊁⨺⇑⪆41041)⨪↰⇹(⋗⩴⪓⇑⪆140432))⪬((⊤⊝(⫶⊄≣⇑⪆203444))≁((⇠⇑⪆40430)⫸⇳⇑⪆113342∴⇑⪆20330))=⇑⪆14414","reverse_text":"⇑⪆14414=((⇑⪆34443⪮%⊝⇑⪆103302⩠)≄⊠(⊁⨺⇑⪆41041)⨪↰⇹(⋗⩴⪓⇑⪆140432))⪬((⊤⊝(⫶⊄≣⇑⪆203444))≁((⇠⇑⪆40430)⫸⇳⇑⪆113342∴⇑⪆20330))","cot":[{"info":"⇑⪆34443⪮%⊝⇑⪆103302=⇑⪆132222","layer":3},{"info":"⇑⪆132222⩠=⇑⪆0","layer":2},{"info":"⊁⨺⇑⪆41041=⇑⪆1120","layer":3},{"info":"⋗⩴⪓⇑⪆140432=⇑⪆-123304","layer":3},{"info":"⇑⪆1120⨪↰⇹⇑⪆-123304=⇑⪆1120","layer":2},{"info":"⇑⪆0≄⊠⇑⪆1120=⇑⪆22000","layer":1},{"info":"⫶⊄≣⇑⪆203444=⇑⪆3134410001224","layer":3},{"info":"⊤⊝⇑⪆3134410001224=⇑⪆11324314432310","layer":2},{"info":"⇠⇑⪆40430=⇑⪆-33443","layer":3},{"info":"⇑⪆113342∴⇑⪆20330=⇑⪆310332","layer":3},{"info":"⇑⪆-33443⫸⇳⇑⪆310332=⇑⪆0","layer":2},{"info":"⇑⪆11324314432310≁⇑⪆0=⇑⪆-241231","layer":1},{"info":"⇑⪆22000⪬⇑⪆-241231=⇑⪆14414","layer":0}]}
{"id":838,"expression_no_base_symbol":"($4371$⨒$3677$)⋥⋵⩄($4084$≃$5205$)⩇∃⫛((⇾⩊⇾$2131$)⩏)⨭⪣((⊙↵-($2461$⊝⪿⪼$2562$))∟)","expression":"(⇑⪆114441⨒⇑⪆104202)⋥⋵⩄(⇑⪆112314≃⇑⪆131310)⩇∃⫛((⇾⩊⇾⇑⪆32011)⩏)⨭⪣((⊙↵-(⇑⪆34321⊝⪿⪼⇑⪆40222))∟)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37188,"operation_count":10,"complexity_ratio":3718.8,"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":4371,"base":5},"right_expr":{"type":"numeric_atoms","value":3677,"base":5}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":4084,"base":5},"right_expr":{"type":"numeric_atoms","value":5205,"base":5}}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":2131,"base":5}}}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2461,"base":5},"right_expr":{"type":"numeric_atoms","value":2562,"base":5}}}}},"used_operators":["kn8WO9XteQ","1aApVXNlOP","7t3wd0Fuz7","y75s1iXyHd","YbVcJGFEVW","iA2gmKZ3Wj","bx9Z9DAK5y","hTbEZDJLEm","oWn0xqSxBt","3Oe9XWJUTD"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","z6LnFrNh4i","Tcnh7f0tEr","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⇑⪆23301111","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4371","layer":4},{"info":"number node, value=3677","layer":4},{"info":"compute binary expreesion, left_input=4371, right_input=3677, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-25854","layer":3},{"info":"number node, value=4084","layer":4},{"info":"number node, value=5205","layer":4},{"info":"compute binary expreesion, left_input=4084, right_input=5205, 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=-16376","layer":3},{"info":"compute binary expreesion, left_input=-25854, right_input=-16376, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=213924","layer":2},{"info":"number node, value=2131","layer":4},{"info":"compute unary expreesion, input=2131, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-25665","layer":3},{"info":"compute unary expreesion, input=-25665, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=213924, 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=-213451","layer":1},{"info":"number node, value=2461","layer":4},{"info":"number node, value=2562","layer":4},{"info":"compute binary expreesion, left_input=2461, right_input=2562, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=36713","layer":3},{"info":"compute unary expreesion, input=36713, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=-213451, right_input=113, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=212656","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆114441⨒⇑⪆104202)⋥⋵⩄(⇑⪆112314≃⇑⪆131310)⩇∃⫛((⇾⩊⇾⇑⪆32011)⩏)⨭⪣((⊙↵-(⇑⪆34321⊝⪿⪼⇑⪆40222))∟)=⇑⪆23301111","reverse_text":"⇑⪆23301111=(⇑⪆114441⨒⇑⪆104202)⋥⋵⩄(⇑⪆112314≃⇑⪆131310)⩇∃⫛((⇾⩊⇾⇑⪆32011)⩏)⨭⪣((⊙↵-(⇑⪆34321⊝⪿⪼⇑⪆40222))∟)","cot":[{"info":"⇑⪆114441⨒⇑⪆104202=⇑⪆-1311404","layer":3},{"info":"⇑⪆112314≃⇑⪆131310=⇑⪆-1011001","layer":3},{"info":"⇑⪆-1311404⋥⋵⩄⇑⪆-1011001=⇑⪆23321144","layer":2},{"info":"⇾⩊⇾⇑⪆32011=⇑⪆-1310130","layer":3},{"info":"⇑⪆-1310130⩏=⇑⪆0","layer":2},{"info":"⇑⪆23321144⩇∃⫛⇑⪆0=⇑⪆-23312301","layer":1},{"info":"⇑⪆34321⊝⪿⪼⇑⪆40222=⇑⪆2133323","layer":3},{"info":"⊙↵-⇑⪆2133323=⇑⪆-1","layer":2},{"info":"⇑⪆-1∟=⇑⪆423","layer":1},{"info":"⇑⪆-23312301⨭⪣⇑⪆423=⇑⪆23301111","layer":0}]}
{"id":839,"expression_no_base_symbol":"($7107$⫳≱↱$3423$⋻⩜⩜(⨂⪏⇭$3929$))≁↽≥(($1107$≧⫂∧$1786$)≹⇙⪍$1624$⊱⇼⊻$2111$)⩁","expression":"(⇑⪆211412⫳≱↱⇑⪆102143⋻⩜⩜(⨂⪏⇭⇑⪆111204))≁↽≥((⇑⪆13412≧⫂∧⇑⪆24121)≹⇙⪍⇑⪆22444⊱⇼⊻⇑⪆31421)⩁","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":190605,"operation_count":8,"complexity_ratio":23825.625,"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":7107,"base":5},"right_expr":{"type":"numeric_atoms","value":3423,"base":5}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":3929,"base":5}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1107,"base":5},"right_expr":{"type":"numeric_atoms","value":1786,"base":5}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1624,"base":5},"right_expr":{"type":"numeric_atoms","value":2111,"base":5}}}}},"used_operators":["5GqDbVmqXU","ncHt1X6cMc","oDCm7WA9JY","ZvLB05nZmT","AYdpE9sXAk","AHs5Up7iyr","Ph9nP6C5qx","FyVja0WsTP"],"dependent_operators":["7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","oWn0xqSxBt","3Oe9XWJUTD","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=7107","layer":4},{"info":"number node, value=3423","layer":4},{"info":"compute binary expreesion, left_input=7107, right_input=3423, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=3929","layer":4},{"info":"compute unary expreesion, input=3929, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=10808","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=10808, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2740","layer":2},{"info":"number node, value=1107","layer":4},{"info":"number node, value=1786","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=1786, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1313","layer":3},{"info":"number node, value=1624","layer":4},{"info":"number node, value=2111","layer":4},{"info":"compute binary expreesion, left_input=1624, right_input=2111, 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=1313, right_input=434, 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=2740, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆211412⫳≱↱⇑⪆102143⋻⩜⩜(⨂⪏⇭⇑⪆111204))≁↽≥((⇑⪆13412≧⫂∧⇑⪆24121)≹⇙⪍⇑⪆22444⊱⇼⊻⇑⪆31421)⩁=NaN","reverse_text":"NaN=(⇑⪆211412⫳≱↱⇑⪆102143⋻⩜⩜(⨂⪏⇭⇑⪆111204))≁↽≥((⇑⪆13412≧⫂∧⇑⪆24121)≹⇙⪍⇑⪆22444⊱⇼⊻⇑⪆31421)⩁","cot":[{"info":"⇑⪆211412⫳≱↱⇑⪆102143=⇑⪆-1304","layer":3},{"info":"⨂⪏⇭⇑⪆111204=⇑⪆321213","layer":3},{"info":"⇑⪆-1304⋻⩜⩜⇑⪆321213=⇑⪆41430","layer":2},{"info":"⇑⪆13412≧⫂∧⇑⪆24121=⇑⪆20223","layer":3},{"info":"⇑⪆22444⊱⇼⊻⇑⪆31421=⇑⪆3214","layer":3},{"info":"⇑⪆20223≹⇙⪍⇑⪆3214=NaN","layer":2},{"info":"⇑⪆41430≁↽≥NaN=NaN","layer":1},{"info":"NaN⩁=NaN","layer":0}]}
{"id":840,"expression_no_base_symbol":"⪝⪂⫅(⋠∜(≸≮(⪫⨮⊛$1332$)))","expression":"⪝⪂⫅(⋠∜(≸≮(⪫⨮⊛⇑⪆20312)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":10006,"operation_count":4,"complexity_ratio":2501.5,"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":1332,"base":5}}}}},"used_operators":["XTarYq4gQB","ZJpFhNJr3x","AljMvE3RRm","w5FWba1tyO"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"⇑⪆-303344","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1332","layer":4},{"info":"compute unary expreesion, input=1332, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=1332","layer":3},{"info":"compute unary expreesion, input=1332, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-9849","layer":0}],"base":5,"result_base":5,"text":"⪝⪂⫅(⋠∜(≸≮(⪫⨮⊛⇑⪆20312)))=⇑⪆-303344","reverse_text":"⇑⪆-303344=⪝⪂⫅(⋠∜(≸≮(⪫⨮⊛⇑⪆20312)))","cot":[{"info":"⪫⨮⊛⇑⪆20312=⇑⪆20312","layer":3},{"info":"≸≮⇑⪆20312=NaN","layer":2},{"info":"⋠∜NaN=⇑⪆232","layer":1},{"info":"⪝⪂⫅⇑⪆232=⇑⪆-303344","layer":0}]}
{"id":841,"expression_no_base_symbol":"($3203$≫≃)≠≀$8782$≝⊿$1451$≒∊($1575$∓⋝$2777$)⊮⊟↴($5109$⫉⨲⊜$5201$)↡⊰⫅($2147$∺≝⩲$5222$)⊕∕($1679$∓⋝$1585$)⇻⋧≁(⨦⪝($4178$⪶≀⋏$1748$))","expression":"(⇑⪆100303≫≃)≠≀⇑⪆240112≝⊿⇑⪆21301≒∊(⇑⪆22300∓⋝⇑⪆42102)⊮⊟↴(⇑⪆130414⫉⨲⊜⇑⪆131301)↡⊰⫅(⇑⪆32042∺≝⩲⇑⪆131342)⊕∕(⇑⪆23204∓⋝⇑⪆22320)⇻⋧≁(⨦⪝(⇑⪆113203⪶≀⋏⇑⪆23443))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":436,"operation_count":14,"complexity_ratio":31.142857142857142,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3203,"base":5}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":8782,"base":5},"right_expr":{"type":"numeric_atoms","value":1451,"base":5}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1575,"base":5},"right_expr":{"type":"numeric_atoms","value":2777,"base":5}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":5109,"base":5},"right_expr":{"type":"numeric_atoms","value":5201,"base":5}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2147,"base":5},"right_expr":{"type":"numeric_atoms","value":5222,"base":5}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1679,"base":5},"right_expr":{"type":"numeric_atoms","value":1585,"base":5}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4178,"base":5},"right_expr":{"type":"numeric_atoms","value":1748,"base":5}}}}},"used_operators":["VCtxkLNOzz","5KTvxBwnZo","IwW236VD4Y","X99M06cbEe","OKKcZfAt5B","QDVgd2eftb","PoHhknlbAi","WhqkvtTD3t","jCPkEVoL5K","9cloC0Ngie","KPf6cnQVty","SUjycxNXIR","zR4jO40bMj"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","12rbrZMWeM","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eewbuw0ToL","zVYPLywUTj","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3203","layer":4},{"info":"compute unary expreesion, input=3203, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7807","layer":3},{"info":"number node, value=8782","layer":4},{"info":"number node, value=1451","layer":4},{"info":"compute binary expreesion, left_input=8782, right_input=1451, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-12217","layer":3},{"info":"compute binary expreesion, left_input=7807, right_input=-12217, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=4289","layer":2},{"info":"number node, value=1575","layer":4},{"info":"number node, value=2777","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=2777, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=5109","layer":4},{"info":"number node, value=5201","layer":4},{"info":"compute binary expreesion, left_input=5109, right_input=5201, 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=67, right_input=0, 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=4289, right_input=0, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3805","layer":1},{"info":"number node, value=2147","layer":4},{"info":"number node, value=5222","layer":4},{"info":"compute binary expreesion, left_input=2147, right_input=5222, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1679","layer":4},{"info":"number node, value=1585","layer":4},{"info":"compute binary expreesion, left_input=1679, right_input=1585, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=67, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=160","layer":2},{"info":"number node, value=4178","layer":4},{"info":"number node, value=1748","layer":4},{"info":"compute binary expreesion, left_input=4178, right_input=1748, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-16262","layer":3},{"info":"compute unary expreesion, input=-16262, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-1884, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-3805, right_input=0, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆100303≫≃)≠≀⇑⪆240112≝⊿⇑⪆21301≒∊(⇑⪆22300∓⋝⇑⪆42102)⊮⊟↴(⇑⪆130414⫉⨲⊜⇑⪆131301)↡⊰⫅(⇑⪆32042∺≝⩲⇑⪆131342)⊕∕(⇑⪆23204∓⋝⇑⪆22320)⇻⋧≁(⨦⪝(⇑⪆113203⪶≀⋏⇑⪆23443))=⇑⪆0","reverse_text":"⇑⪆0=(⇑⪆100303≫≃)≠≀⇑⪆240112≝⊿⇑⪆21301≒∊(⇑⪆22300∓⋝⇑⪆42102)⊮⊟↴(⇑⪆130414⫉⨲⊜⇑⪆131301)↡⊰⫅(⇑⪆32042∺≝⩲⇑⪆131342)⊕∕(⇑⪆23204∓⋝⇑⪆22320)⇻⋧≁(⨦⪝(⇑⪆113203⪶≀⋏⇑⪆23443))","cot":[{"info":"⇑⪆100303≫≃=⇑⪆222212","layer":3},{"info":"⇑⪆240112≝⊿⇑⪆21301=⇑⪆-342332","layer":3},{"info":"⇑⪆222212≠≀⇑⪆-342332=⇑⪆114124","layer":2},{"info":"⇑⪆22300∓⋝⇑⪆42102=⇑⪆232","layer":3},{"info":"⇑⪆130414⫉⨲⊜⇑⪆131301=⇑⪆0","layer":3},{"info":"⇑⪆232⊮⊟↴⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆114124≒∊⇑⪆0=⇑⪆-110210","layer":1},{"info":"⇑⪆32042∺≝⩲⇑⪆131342=⇑⪆1120","layer":3},{"info":"⇑⪆23204∓⋝⇑⪆22320=⇑⪆232","layer":3},{"info":"⇑⪆1120⊕∕⇑⪆232=⇑⪆1120","layer":2},{"info":"⇑⪆113203⪶≀⋏⇑⪆23443=⇑⪆-1010022","layer":3},{"info":"⨦⪝⇑⪆-1010022=⇑⪆-30014","layer":2},{"info":"⇑⪆1120⇻⋧≁⇑⪆-30014=⇑⪆0","layer":1},{"info":"⇑⪆-110210↡⊰⫅⇑⪆0=⇑⪆0","layer":0}]}
{"id":842,"expression_no_base_symbol":"(($1735$≎⊠⪸$1133$)∋$3518$⪎↠$2507$⫚↹⊑(⊊≼∋$5430$)↸($4026$∖$3340$))⨚⇆((↑$1375$)∳⫺($6035$⪇≇⋚$1209$)⇼⇔∾($1904$⪨⊡$1487$⊭↱$1043$⪃⊛⇣$1264$))","expression":"((⇑⪆23420≎⊠⪸⇑⪆14013)∋⇑⪆103033⪎↠⇑⪆40012⫚↹⊑(⊊≼∋⇑⪆133210)↸(⇑⪆112101∖⇑⪆101330))⨚⇆((↑⇑⪆21000)∳⫺(⇑⪆143120⪇≇⋚⇑⪆14314)⇼⇔∾(⇑⪆30104⪨⊡⇑⪆21422⊭↱⇑⪆13133⪃⊛⇣⇑⪆20024))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10181,"operation_count":15,"complexity_ratio":678.7333333333333,"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":1735,"base":5},"right_expr":{"type":"numeric_atoms","value":1133,"base":5}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3518,"base":5},"right_expr":{"type":"numeric_atoms","value":2507,"base":5}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":5430,"base":5}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":4026,"base":5},"right_expr":{"type":"numeric_atoms","value":3340,"base":5}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1375,"base":5}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":6035,"base":5},"right_expr":{"type":"numeric_atoms","value":1209,"base":5}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1904,"base":5},"right_expr":{"type":"numeric_atoms","value":1487,"base":5}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1043,"base":5},"right_expr":{"type":"numeric_atoms","value":1264,"base":5}}}}},"used_operators":["lwHaAYXP2r","dfKe02y8D2","ukq6epAj5P","bJkvcejdHO","3tVxb0NHM4","1eCjFl0mb9","FWz7pXsQhA","tXD093vOjl","tifHPKVTfV","AzXXKTstlj","tR7O2zTn5j","3sJ7IOPOlU","COABgblf1C","kuIXHzHcAH","rrgAzCduG9"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","B5M0gjZbta","jCPkEVoL5K","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","rysDP5nf3Z","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1735","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=1735, right_input=1133, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=448892","layer":3},{"info":"number node, value=3518","layer":4},{"info":"number node, value=2507","layer":4},{"info":"compute binary expreesion, left_input=3518, right_input=2507, 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=448892, right_input=160, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=23620232","layer":2},{"info":"number node, value=5430","layer":4},{"info":"compute unary expreesion, input=5430, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=4026","layer":4},{"info":"number node, value=3340","layer":4},{"info":"compute binary expreesion, left_input=4026, right_input=3340, 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=-447, right_input=0, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=23620232, right_input=-447, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=1375","layer":4},{"info":"compute unary expreesion, input=1375, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=6035","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=6035, right_input=1209, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=0, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=1904","layer":4},{"info":"number node, value=1487","layer":4},{"info":"compute binary expreesion, left_input=1904, right_input=1487, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1043","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=1264, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2473","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=2473, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2733","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=2733, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆23420≎⊠⪸⇑⪆14013)∋⇑⪆103033⪎↠⇑⪆40012⫚↹⊑(⊊≼∋⇑⪆133210)↸(⇑⪆112101∖⇑⪆101330))⨚⇆((↑⇑⪆21000)∳⫺(⇑⪆143120⪇≇⋚⇑⪆14314)⇼⇔∾(⇑⪆30104⪨⊡⇑⪆21422⊭↱⇑⪆13133⪃⊛⇣⇑⪆20024))=NaN","reverse_text":"NaN=((⇑⪆23420≎⊠⪸⇑⪆14013)∋⇑⪆103033⪎↠⇑⪆40012⫚↹⊑(⊊≼∋⇑⪆133210)↸(⇑⪆112101∖⇑⪆101330))⨚⇆((↑⇑⪆21000)∳⫺(⇑⪆143120⪇≇⋚⇑⪆14314)⇼⇔∾(⇑⪆30104⪨⊡⇑⪆21422⊭↱⇑⪆13133⪃⊛⇣⇑⪆20024))","cot":[{"info":"⇑⪆23420≎⊠⪸⇑⪆14013=⇑⪆103331032","layer":3},{"info":"⇑⪆103033⪎↠⇑⪆40012=⇑⪆1120","layer":3},{"info":"⇑⪆103331032∋⇑⪆1120=⇑⪆22021321412","layer":2},{"info":"⊊≼∋⇑⪆133210=⇑⪆-3242","layer":3},{"info":"⇑⪆112101∖⇑⪆101330=⇑⪆0","layer":3},{"info":"⇑⪆-3242↸⇑⪆0=⇑⪆-3242","layer":2},{"info":"⇑⪆22021321412⫚↹⊑⇑⪆-3242=⇑⪆-3242","layer":1},{"info":"↑⇑⪆21000=⇑⪆1232","layer":3},{"info":"⇑⪆143120⪇≇⋚⇑⪆14314=⇑⪆0","layer":3},{"info":"⇑⪆1232∳⫺⇑⪆0=⇑⪆-2020","layer":2},{"info":"⇑⪆30104⪨⊡⇑⪆21422=⇑⪆0","layer":3},{"info":"⇑⪆13133⪃⊛⇣⇑⪆20024=⇑⪆14414","layer":3},{"info":"⇑⪆0⊭↱⇑⪆14414=⇑⪆34343","layer":2},{"info":"⇑⪆-2020⇼⇔∾⇑⪆34343=⇑⪆41413","layer":1},{"info":"⇑⪆-3242⨚⇆⇑⪆41413=NaN","layer":0}]}
{"id":843,"expression_no_base_symbol":"(≻⋜($3886$∪⫐$2650$))⨥⫆($5980$∊∟⩊$3431$⪁(⪨⨬$2702$))⪓⨏","expression":"(≻⋜(⇑⪆111021∪⫐⇑⪆41100))⨥⫆(⇑⪆142410∊∟⩊⇑⪆102211⪁(⪨⨬⇑⪆41302))⪓⨏","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4051305,"operation_count":7,"complexity_ratio":578757.8571428572,"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":3886,"base":5},"right_expr":{"type":"numeric_atoms","value":2650,"base":5}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":5980,"base":5},"right_expr":{"type":"numeric_atoms","value":3431,"base":5}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":2702,"base":5}}}}},"used_operators":["4X9JU4Jbn6","yXekIHxTD4","3tj9sqzovi","7YooWSwCyH","I7sXao9hZE","ddLRYrp01A","5obUd6DV38"],"dependent_operators":["gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","rJVOvQCfKK","2DDjHMKMc0","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","T2fj7uvVaJ","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=3886","layer":4},{"info":"number node, value=2650","layer":4},{"info":"compute binary expreesion, left_input=3886, right_input=2650, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3886","layer":3},{"info":"compute unary expreesion, input=3886, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"number node, value=5980","layer":4},{"info":"number node, value=3431","layer":4},{"info":"compute binary expreesion, left_input=5980, right_input=3431, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3431","layer":3},{"info":"number node, value=2702","layer":4},{"info":"compute unary expreesion, input=2702, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute binary expreesion, left_input=3431, right_input=-526, 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 = 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 = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(≻⋜(⇑⪆111021∪⫐⇑⪆41100))⨥⫆(⇑⪆142410∊∟⩊⇑⪆102211⪁(⪨⨬⇑⪆41302))⪓⨏=NaN","reverse_text":"NaN=(≻⋜(⇑⪆111021∪⫐⇑⪆41100))⨥⫆(⇑⪆142410∊∟⩊⇑⪆102211⪁(⪨⨬⇑⪆41302))⪓⨏","cot":[{"info":"⇑⪆111021∪⫐⇑⪆41100=⇑⪆111021","layer":3},{"info":"≻⋜⇑⪆111021=NaN","layer":2},{"info":"⇑⪆142410∊∟⩊⇑⪆102211=⇑⪆102211","layer":3},{"info":"⪨⨬⇑⪆41302=⇑⪆-4101","layer":3},{"info":"⇑⪆102211⪁⇑⪆-4101=NaN","layer":2},{"info":"NaN⨥⫆NaN=NaN","layer":1},{"info":"NaN⪓⨏=NaN","layer":0}]}
{"id":844,"expression_no_base_symbol":"((⋠∜($2791$↺$3012$))⫲≸⪮($1351$∝$1491$)≚⊃≕($6714$⩵∡$5342$))⇩","expression":"((⋠∜(⇑⪆42131↺⇑⪆44022))⫲≸⪮(⇑⪆20401∝⇑⪆21431)≚⊃≕(⇑⪆203324⩵∡⇑⪆132332))⇩","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":14395,"operation_count":7,"complexity_ratio":2056.4285714285716,"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":2791,"base":5},"right_expr":{"type":"numeric_atoms","value":3012,"base":5}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1351,"base":5},"right_expr":{"type":"numeric_atoms","value":1491,"base":5}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":6714,"base":5},"right_expr":{"type":"numeric_atoms","value":5342,"base":5}}}}},"used_operators":["vRio1gEz1j","P3lXMJvFrc","ZJpFhNJr3x","7j4O788W3g","Bmrmz2XGnR","cTDWOvIxvz","Y7wcNGrDQJ"],"dependent_operators":["W4YGzv6Whe","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","7j4O788W3g","W4YGzv6Whe","COABgblf1C","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"⇑⪆430200","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2791","layer":4},{"info":"number node, value=3012","layer":4},{"info":"compute binary expreesion, left_input=2791, right_input=3012, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3012","layer":3},{"info":"compute unary expreesion, input=3012, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=14332","layer":2},{"info":"number node, value=1351","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=1491, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1356","layer":3},{"info":"number node, value=6714","layer":4},{"info":"number node, value=5342","layer":4},{"info":"compute binary expreesion, left_input=6714, right_input=5342, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-8207","layer":3},{"info":"compute binary expreesion, left_input=1356, right_input=-8207, 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=-11156","layer":2},{"info":"compute binary expreesion, left_input=14332, right_input=-11156, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=14332","layer":1},{"info":"compute unary expreesion, input=14332, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=14425","layer":0}],"base":5,"result_base":5,"text":"((⋠∜(⇑⪆42131↺⇑⪆44022))⫲≸⪮(⇑⪆20401∝⇑⪆21431)≚⊃≕(⇑⪆203324⩵∡⇑⪆132332))⇩=⇑⪆430200","reverse_text":"⇑⪆430200=((⋠∜(⇑⪆42131↺⇑⪆44022))⫲≸⪮(⇑⪆20401∝⇑⪆21431)≚⊃≕(⇑⪆203324⩵∡⇑⪆132332))⇩","cot":[{"info":"⇑⪆42131↺⇑⪆44022=⇑⪆44022","layer":3},{"info":"⋠∜⇑⪆44022=⇑⪆424312","layer":2},{"info":"⇑⪆20401∝⇑⪆21431=⇑⪆20411","layer":3},{"info":"⇑⪆203324⩵∡⇑⪆132332=⇑⪆-230312","layer":3},{"info":"⇑⪆20411≚⊃≕⇑⪆-230312=⇑⪆-324111","layer":2},{"info":"⇑⪆424312⫲≸⪮⇑⪆-324111=⇑⪆424312","layer":1},{"info":"⇑⪆424312⇩=⇑⪆430200","layer":0}]}
{"id":845,"expression_no_base_symbol":"⨩∲⋌(($1348$⩼⇪↪$1350$⫠↝⫳)⨒(↓⇌$1710$)⨚(≋$5925$))","expression":"⨩∲⋌((⇑⪆20343⩼⇪↪⇑⪆20400⫠↝⫳)⨒(↓⇌⇑⪆23320)⨚(≋⇑⪆142200))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":70,"operation_count":7,"complexity_ratio":10.0,"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":1348,"base":5},"right_expr":{"type":"numeric_atoms","value":1350,"base":5}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1710,"base":5}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":5925,"base":5}}}}},"used_operators":["aSik1wnThz","y75s1iXyHd","8n5YIzOsVS","ocnLzx9CaJ","nREPSIbpBE","PxpmPgHHJV","61wBmkZwlr"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","BjRHVeLaeN","12rbrZMWeM","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","7j4O788W3g"],"result":"⇑⪆1423","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1348","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=1350, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-7537","layer":3},{"info":"compute unary expreesion, input=-7537, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-240561","layer":2},{"info":"number node, value=1710","layer":4},{"info":"compute unary expreesion, input=1710, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1710","layer":3},{"info":"number node, value=5925","layer":4},{"info":"compute unary expreesion, input=5925, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=5925","layer":3},{"info":"compute binary expreesion, left_input=1710, right_input=5925, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-19346","layer":2},{"info":"compute binary expreesion, left_input=-240561, right_input=-19346, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":1},{"info":"compute unary expreesion, input=1, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=238","layer":0}],"base":5,"result_base":5,"text":"⨩∲⋌((⇑⪆20343⩼⇪↪⇑⪆20400⫠↝⫳)⨒(↓⇌⇑⪆23320)⨚(≋⇑⪆142200))=⇑⪆1423","reverse_text":"⇑⪆1423=⨩∲⋌((⇑⪆20343⩼⇪↪⇑⪆20400⫠↝⫳)⨒(↓⇌⇑⪆23320)⨚(≋⇑⪆142200))","cot":[{"info":"⇑⪆20343⩼⇪↪⇑⪆20400=⇑⪆-220122","layer":3},{"info":"⇑⪆-220122⫠↝⫳=⇑⪆-30144221","layer":2},{"info":"↓⇌⇑⪆23320=⇑⪆23320","layer":3},{"info":"≋⇑⪆142200=⇑⪆142200","layer":3},{"info":"⇑⪆23320⨚⇑⪆142200=⇑⪆-1104341","layer":2},{"info":"⇑⪆-30144221⨒⇑⪆-1104341=⇑⪆1","layer":1},{"info":"⨩∲⋌⇑⪆1=⇑⪆1423","layer":0}]}
{"id":846,"expression_no_base_symbol":"($2859$⋕⪉⪜$2379$⋥≓≎$1428$⇴∐$4062$)+⇶⊼($5425$⨪↰⇹$2671$)↓$1372$⨥⫆$2493$⩵∡($1178$⊝⪿⪼$2764$⪄$8115$⫞⩸⩒$2942$)⫰⋱($3160$⪉⨛$2005$)↤⩊(⋎⨆$1535$)","expression":"(⇑⪆42414⋕⪉⪜⇑⪆34004⋥≓≎⇑⪆21203⇴∐⇑⪆112222)+⇶⊼(⇑⪆133200⨪↰⇹⇑⪆41141)↓⇑⪆20442⨥⫆⇑⪆34433⩵∡(⇑⪆14203⊝⪿⪼⇑⪆42024⪄⇑⪆224430⫞⩸⩒⇑⪆43232)⫰⋱(⇑⪆100120⪉⨛⇑⪆31010)↤⩊(⋎⨆⇑⪆22120)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":74232,"operation_count":15,"complexity_ratio":4948.8,"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":2859,"base":5},"right_expr":{"type":"numeric_atoms","value":2379,"base":5}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1428,"base":5},"right_expr":{"type":"numeric_atoms","value":4062,"base":5}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5425,"base":5},"right_expr":{"type":"numeric_atoms","value":2671,"base":5}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1372,"base":5},"right_expr":{"type":"numeric_atoms","value":2493,"base":5}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1178,"base":5},"right_expr":{"type":"numeric_atoms","value":2764,"base":5}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":8115,"base":5},"right_expr":{"type":"numeric_atoms","value":2942,"base":5}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":3160,"base":5},"right_expr":{"type":"numeric_atoms","value":2005,"base":5}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1535,"base":5}}}}},"used_operators":["Y7wcNGrDQJ","TpPTUOHfaN","Qy55tPpLXF","z6LnFrNh4i","HnzytWxmAO","Af076pWI7l","tmPS8pqC7x","yXekIHxTD4","6o9Blt3TJ6","SUmda5xLS4","3Oe9XWJUTD","XGcMNugi78","13rbtpv6ld","EWw2JM7wp4","E64sFOc4tB"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","rJVOvQCfKK","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2859","layer":4},{"info":"number node, value=2379","layer":4},{"info":"compute binary expreesion, left_input=2859, right_input=2379, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=1428","layer":4},{"info":"number node, value=4062","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=4062, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"number node, value=5425","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=5425, right_input=2671, 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=5425","layer":3},{"info":"number node, value=1372","layer":4},{"info":"number node, value=2493","layer":4},{"info":"compute binary expreesion, left_input=1372, right_input=2493, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4862","layer":3},{"info":"compute binary expreesion, left_input=5425, right_input=4862, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = 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=1178","layer":4},{"info":"number node, value=2764","layer":4},{"info":"compute binary expreesion, left_input=1178, right_input=2764, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=27602","layer":3},{"info":"number node, value=8115","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=8115, right_input=2942, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2942","layer":3},{"info":"compute binary expreesion, left_input=27602, right_input=2942, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-4092953","layer":2},{"info":"number node, value=3160","layer":4},{"info":"number node, value=2005","layer":4},{"info":"compute binary expreesion, left_input=3160, right_input=2005, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=7690","layer":3},{"info":"number node, value=1535","layer":4},{"info":"compute unary expreesion, input=1535, 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=7690, 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=-4092953, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆42414⋕⪉⪜⇑⪆34004⋥≓≎⇑⪆21203⇴∐⇑⪆112222)+⇶⊼(⇑⪆133200⨪↰⇹⇑⪆41141)↓⇑⪆20442⨥⫆⇑⪆34433⩵∡(⇑⪆14203⊝⪿⪼⇑⪆42024⪄⇑⪆224430⫞⩸⩒⇑⪆43232)⫰⋱(⇑⪆100120⪉⨛⇑⪆31010)↤⩊(⋎⨆⇑⪆22120)=NaN","reverse_text":"NaN=(⇑⪆42414⋕⪉⪜⇑⪆34004⋥≓≎⇑⪆21203⇴∐⇑⪆112222)+⇶⊼(⇑⪆133200⨪↰⇹⇑⪆41141)↓⇑⪆20442⨥⫆⇑⪆34433⩵∡(⇑⪆14203⊝⪿⪼⇑⪆42024⪄⇑⪆224430⫞⩸⩒⇑⪆43232)⫰⋱(⇑⪆100120⪉⨛⇑⪆31010)↤⩊(⋎⨆⇑⪆22120)","cot":[{"info":"⇑⪆42414⋕⪉⪜⇑⪆34004=⇑⪆42202","layer":3},{"info":"⇑⪆21203⇴∐⇑⪆112222=NaN","layer":3},{"info":"⇑⪆42202⋥≓≎NaN=NaN","layer":2},{"info":"⇑⪆133200⨪↰⇹⇑⪆41141=⇑⪆133200","layer":3},{"info":"⇑⪆20442⨥⫆⇑⪆34433=⇑⪆123422","layer":3},{"info":"⇑⪆133200↓⇑⪆123422=⇑⪆-1014","layer":2},{"info":"NaN+⇶⊼⇑⪆-1014=NaN","layer":1},{"info":"⇑⪆14203⊝⪿⪼⇑⪆42024=⇑⪆1340402","layer":3},{"info":"⇑⪆224430⫞⩸⩒⇑⪆43232=⇑⪆43232","layer":3},{"info":"⇑⪆1340402⪄⇑⪆43232=⇑⪆-2021433303","layer":2},{"info":"⇑⪆100120⪉⨛⇑⪆31010=⇑⪆221230","layer":3},{"info":"⋎⨆⇑⪆22120=⇑⪆0","layer":3},{"info":"⇑⪆221230↤⩊⇑⪆0=NaN","layer":2},{"info":"⇑⪆-2021433303⫰⋱NaN=NaN","layer":1},{"info":"NaN⩵∡NaN=NaN","layer":0}]}
{"id":847,"expression_no_base_symbol":"⫓⪴(($4049$⊢)⊴($1158$≄⊠$2083$)⫌⩉⩟((⊤⊝$6557$)⩎⪣⊞))","expression":"⫓⪴((⇑⪆112144⊢)⊴(⇑⪆14113≄⊠⇑⪆31313)⫌⩉⩟((⊤⊝⇑⪆202212)⩎⪣⊞))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":366308,"operation_count":7,"complexity_ratio":52329.71428571428,"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":4049,"base":5}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1158,"base":5},"right_expr":{"type":"numeric_atoms","value":2083,"base":5}}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":6557,"base":5}}}}},"used_operators":["eLxqMNBOBk","XIIwhv8d0m","Nsiff2A1zJ","40aOVDgCDB","vXNesLlMH1","waWucp1uQ4","rXAclfmB4M"],"dependent_operators":["9HNa5Wba9A","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","dWAJyo7jo9","14qkJME0vr","NTOWxs364D","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","mp7IySMOzn","sdazOOVcIp"],"result":"⇑⪆40000","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4049","layer":4},{"info":"compute unary expreesion, input=4049, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-4296","layer":3},{"info":"number node, value=1158","layer":4},{"info":"number node, value=2083","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=2083, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=37996","layer":3},{"info":"compute binary expreesion, left_input=-4296, right_input=37996, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=6557","layer":4},{"info":"compute unary expreesion, input=6557, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=11816","layer":3},{"info":"compute unary expreesion, input=11816, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=23632","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=23632, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute unary expreesion, input=-50, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2500","layer":0}],"base":5,"result_base":5,"text":"⫓⪴((⇑⪆112144⊢)⊴(⇑⪆14113≄⊠⇑⪆31313)⫌⩉⩟((⊤⊝⇑⪆202212)⩎⪣⊞))=⇑⪆40000","reverse_text":"⇑⪆40000=⫓⪴((⇑⪆112144⊢)⊴(⇑⪆14113≄⊠⇑⪆31313)⫌⩉⩟((⊤⊝⇑⪆202212)⩎⪣⊞))","cot":[{"info":"⇑⪆112144⊢=⇑⪆-114141","layer":3},{"info":"⇑⪆14113≄⊠⇑⪆31313=⇑⪆2203441","layer":3},{"info":"⇑⪆-114141⊴⇑⪆2203441=NaN","layer":2},{"info":"⊤⊝⇑⪆202212=⇑⪆334231","layer":3},{"info":"⇑⪆334231⩎⪣⊞=⇑⪆1224012","layer":2},{"info":"NaN⫌⩉⩟⇑⪆1224012=⇑⪆-200","layer":1},{"info":"⫓⪴⇑⪆-200=⇑⪆40000","layer":0}]}
{"id":848,"expression_no_base_symbol":"(($6935$⨚⇆$1126$)∳⫺(⫯$5042$)⇴($2250$⨻⩈⩔$1915$⋾⨃∁($4482$⊭↱$1961$)))⪥(((∤↝$1259$)≥⨤⩑(⋃$6507$))⊹∫⫚($1582$∙⊟$1575$)⪬($3803$⫦⪉$1638$))","expression":"((⇑⪆210220⨚⇆⇑⪆14001)∳⫺(⫯⇑⪆130132)⇴(⇑⪆33000⨻⩈⩔⇑⪆30130⋾⨃∁(⇑⪆120412⊭↱⇑⪆30321)))⪥(((∤↝⇑⪆20014)≥⨤⩑(⋃⇑⪆202012))⊹∫⫚(⇑⪆22312∙⊟⇑⪆22300)⪬(⇑⪆110203⫦⪉⇑⪆23023))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":56179,"operation_count":15,"complexity_ratio":3745.266666666667,"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":6935,"base":5},"right_expr":{"type":"numeric_atoms","value":1126,"base":5}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":5042,"base":5}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2250,"base":5},"right_expr":{"type":"numeric_atoms","value":1915,"base":5}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4482,"base":5},"right_expr":{"type":"numeric_atoms","value":1961,"base":5}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":1259,"base":5}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":6507,"base":5}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1582,"base":5},"right_expr":{"type":"numeric_atoms","value":1575,"base":5}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":3803,"base":5},"right_expr":{"type":"numeric_atoms","value":1638,"base":5}}}}},"used_operators":["QbnwKVWMIQ","4JB6nKBMSY","AzXXKTstlj","lwHaAYXP2r","H6BK1Evt7c","212REbPD9h","nEsXyWgiOK","COABgblf1C","uWAJUKEvyW","gJLn6v0xnP","3UMq87Qwqg","3mBM5G4a3l","Ez1Nq5fNfI","SxTAKzQCrw","wscyQdcy20"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","sdazOOVcIp","NTOWxs364D","COABgblf1C","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","g55IO6H4Gj","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⇑⪆13124212023223","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6935","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=6935, right_input=1126, 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=5042","layer":4},{"info":"compute unary expreesion, input=5042, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-196976","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-196976, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=2250","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=2250, right_input=1915, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=9599","layer":3},{"info":"number node, value=4482","layer":4},{"info":"number node, value=1961","layer":4},{"info":"compute binary expreesion, left_input=4482, right_input=1961, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5037","layer":3},{"info":"compute binary expreesion, left_input=9599, right_input=-5037, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=253774040","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=253774040, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=507546134","layer":1},{"info":"number node, value=1259","layer":4},{"info":"compute unary expreesion, input=1259, 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=1259","layer":3},{"info":"number node, value=6507","layer":4},{"info":"compute unary expreesion, input=6507, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=13116","layer":3},{"info":"compute binary expreesion, left_input=1259, right_input=13116, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=1582","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=1582, right_input=1575, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=30412","layer":3},{"info":"number node, value=3803","layer":4},{"info":"number node, value=1638","layer":4},{"info":"compute binary expreesion, left_input=3803, right_input=1638, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-2706","layer":3},{"info":"compute binary expreesion, left_input=30412, right_input=-2706, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=1234, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-212","layer":1},{"info":"compute binary expreesion, left_input=507546134, right_input=-212, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=2030189188","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆210220⨚⇆⇑⪆14001)∳⫺(⫯⇑⪆130132)⇴(⇑⪆33000⨻⩈⩔⇑⪆30130⋾⨃∁(⇑⪆120412⊭↱⇑⪆30321)))⪥(((∤↝⇑⪆20014)≥⨤⩑(⋃⇑⪆202012))⊹∫⫚(⇑⪆22312∙⊟⇑⪆22300)⪬(⇑⪆110203⫦⪉⇑⪆23023))=⇑⪆13124212023223","reverse_text":"⇑⪆13124212023223=((⇑⪆210220⨚⇆⇑⪆14001)∳⫺(⫯⇑⪆130132)⇴(⇑⪆33000⨻⩈⩔⇑⪆30130⋾⨃∁(⇑⪆120412⊭↱⇑⪆30321)))⪥(((∤↝⇑⪆20014)≥⨤⩑(⋃⇑⪆202012))⊹∫⫚(⇑⪆22312∙⊟⇑⪆22300)⪬(⇑⪆110203⫦⪉⇑⪆23023))","cot":[{"info":"⇑⪆210220⨚⇆⇑⪆14001=NaN","layer":3},{"info":"⫯⇑⪆130132=⇑⪆-22300401","layer":3},{"info":"NaN∳⫺⇑⪆-22300401=⇑⪆-2020","layer":2},{"info":"⇑⪆33000⨻⩈⩔⇑⪆30130=⇑⪆301344","layer":3},{"info":"⇑⪆120412⊭↱⇑⪆30321=⇑⪆-130122","layer":3},{"info":"⇑⪆301344⋾⨃∁⇑⪆-130122=⇑⪆1004431232130","layer":2},{"info":"⇑⪆-2020⇴⇑⪆1004431232130=⇑⪆2014412434014","layer":1},{"info":"∤↝⇑⪆20014=⇑⪆20014","layer":3},{"info":"⋃⇑⪆202012=⇑⪆404431","layer":3},{"info":"⇑⪆20014≥⨤⩑⇑⪆404431=⇑⪆14414","layer":2},{"info":"⇑⪆22312∙⊟⇑⪆22300=⇑⪆1433122","layer":3},{"info":"⇑⪆110203⫦⪉⇑⪆23023=⇑⪆-41311","layer":3},{"info":"⇑⪆1433122⪬⇑⪆-41311=⇑⪆14414","layer":2},{"info":"⇑⪆14414⊹∫⫚⇑⪆14414=⇑⪆-1322","layer":1},{"info":"⇑⪆2014412434014⪥⇑⪆-1322=⇑⪆13124212023223","layer":0}]}
{"id":849,"expression_no_base_symbol":"((≅≯⇸$8282$)⩣⫁∢$3730$↓$3827$⫦⪉($3621$⩵∡$1266$)⩺⪪$3543$≨$5013$)⊱⇼⊻((⩎⋉($2037$↱$2365$))⫩⊇)","expression":"((≅≯⇸⇑⪆231112)⩣⫁∢⇑⪆104410↓⇑⪆110302⫦⪉(⇑⪆103441⩵∡⇑⪆20031)⩺⪪⇑⪆103133≨⇑⪆130023)⊱⇼⊻((⩎⋉(⇑⪆31122↱⇑⪆33430))⫩⊇)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":54268,"operation_count":11,"complexity_ratio":4933.454545454545,"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":8282,"base":5}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3730,"base":5},"right_expr":{"type":"numeric_atoms","value":3827,"base":5}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3621,"base":5},"right_expr":{"type":"numeric_atoms","value":1266,"base":5}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3543,"base":5},"right_expr":{"type":"numeric_atoms","value":5013,"base":5}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2037,"base":5},"right_expr":{"type":"numeric_atoms","value":2365,"base":5}}}}},"used_operators":["FyVja0WsTP","wscyQdcy20","JDUIKTTSIa","apS25hmuAe","Af076pWI7l","uvdQJvN4PV","Y7wcNGrDQJ","0KMCeP1Jsh","BjRHVeLaeN","FlXk3pOYe8","SR5kFfdi6N"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","EBcxylXtPf","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","NTOWxs364D","glklzrTFfD","tifHPKVTfV","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"⇑⪆132412441","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8282","layer":4},{"info":"compute unary expreesion, input=8282, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=40805","layer":3},{"info":"number node, value=3730","layer":4},{"info":"number node, value=3827","layer":4},{"info":"compute binary expreesion, left_input=3730, right_input=3827, 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=40805, right_input=-134, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-81449","layer":2},{"info":"number node, value=3621","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=3621, right_input=1266, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-6097","layer":3},{"info":"number node, value=3543","layer":4},{"info":"number node, value=5013","layer":4},{"info":"compute binary expreesion, left_input=3543, right_input=5013, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-32954","layer":3},{"info":"compute binary expreesion, left_input=-6097, right_input=-32954, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-430610","layer":2},{"info":"compute binary expreesion, left_input=-81449, right_input=-430610, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=166736","layer":1},{"info":"number node, value=2037","layer":4},{"info":"number node, value=2365","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=2365, 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=-6573","layer":3},{"info":"compute unary expreesion, input=-6573, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1608","layer":1},{"info":"compute binary expreesion, left_input=166736, right_input=-1608, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=669746","layer":0}],"base":5,"result_base":5,"text":"((≅≯⇸⇑⪆231112)⩣⫁∢⇑⪆104410↓⇑⪆110302⫦⪉(⇑⪆103441⩵∡⇑⪆20031)⩺⪪⇑⪆103133≨⇑⪆130023)⊱⇼⊻((⩎⋉(⇑⪆31122↱⇑⪆33430))⫩⊇)=⇑⪆132412441","reverse_text":"⇑⪆132412441=((≅≯⇸⇑⪆231112)⩣⫁∢⇑⪆104410↓⇑⪆110302⫦⪉(⇑⪆103441⩵∡⇑⪆20031)⩺⪪⇑⪆103133≨⇑⪆130023)⊱⇼⊻((⩎⋉(⇑⪆31122↱⇑⪆33430))⫩⊇)","cot":[{"info":"≅≯⇸⇑⪆231112=⇑⪆2301210","layer":3},{"info":"⇑⪆104410↓⇑⪆110302=⇑⪆-1014","layer":3},{"info":"⇑⪆2301210⩣⫁∢⇑⪆-1014=⇑⪆-10101244","layer":2},{"info":"⇑⪆103441⩵∡⇑⪆20031=⇑⪆-143342","layer":3},{"info":"⇑⪆103133≨⇑⪆130023=⇑⪆-2023304","layer":3},{"info":"⇑⪆-143342⩺⪪⇑⪆-2023304=⇑⪆-102234420","layer":2},{"info":"⇑⪆-10101244⫦⪉⇑⪆-102234420=⇑⪆20313421","layer":1},{"info":"⇑⪆31122↱⇑⪆33430=⇑⪆-202243","layer":3},{"info":"⩎⋉⇑⪆-202243=⇑⪆23100","layer":2},{"info":"⇑⪆23100⫩⊇=⇑⪆-22413","layer":1},{"info":"⇑⪆20313421⊱⇼⊻⇑⪆-22413=⇑⪆132412441","layer":0}]}
{"id":850,"expression_no_base_symbol":"((↩⪖(∜⨇$2267$))⨽(⨡↴($4618$≀⩗∶$3183$)))∋(($1437$⫘$1882$⫳≱↱$3241$⋕⪉⪜$1353$)⨁⊸⫻)","expression":"((↩⪖(∜⨇⇑⪆33032))⨽(⨡↴(⇑⪆121433≀⩗∶⇑⪆100213)))∋((⇑⪆21222⫘⇑⪆30012⫳≱↱⇑⪆100431⋕⪉⪜⇑⪆20403)⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2206,"operation_count":10,"complexity_ratio":220.6,"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":2267,"base":5}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":4618,"base":5},"right_expr":{"type":"numeric_atoms","value":3183,"base":5}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1437,"base":5},"right_expr":{"type":"numeric_atoms","value":1882,"base":5}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":3241,"base":5},"right_expr":{"type":"numeric_atoms","value":1353,"base":5}}}}},"used_operators":["ukq6epAj5P","8HhzD0ZcuI","fG6uBQFnGz","uFPyJr306J","liw5iZPkLH","8INZBEW696","glklzrTFfD","ZvLB05nZmT","48vC8HMD2b","z6LnFrNh4i"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","W4YGzv6Whe","P8v4zCKN1o","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","rysDP5nf3Z","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2267","layer":4},{"info":"compute unary expreesion, input=2267, 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 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":2},{"info":"number node, value=4618","layer":4},{"info":"number node, value=3183","layer":4},{"info":"compute binary expreesion, left_input=4618, right_input=3183, 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 = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=1049","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1049, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=1437","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=1882, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1694317","layer":3},{"info":"number node, value=3241","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=3241, right_input=1353, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=1694317, right_input=2802, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-408","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-408, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((↩⪖(∜⨇⇑⪆33032))⨽(⨡↴(⇑⪆121433≀⩗∶⇑⪆100213)))∋((⇑⪆21222⫘⇑⪆30012⫳≱↱⇑⪆100431⋕⪉⪜⇑⪆20403)⨁⊸⫻)=NaN","reverse_text":"NaN=((↩⪖(∜⨇⇑⪆33032))⨽(⨡↴(⇑⪆121433≀⩗∶⇑⪆100213)))∋((⇑⪆21222⫘⇑⪆30012⫳≱↱⇑⪆100431⋕⪉⪜⇑⪆20403)⨁⊸⫻)","cot":[{"info":"∜⨇⇑⪆33032=NaN","layer":3},{"info":"↩⪖NaN=NaN","layer":2},{"info":"⇑⪆121433≀⩗∶⇑⪆100213=⇑⪆0","layer":3},{"info":"⨡↴⇑⪆0=⇑⪆13144","layer":2},{"info":"NaN⨽⇑⪆13144=NaN","layer":1},{"info":"⇑⪆21222⫘⇑⪆30012=⇑⪆413204232","layer":3},{"info":"⇑⪆100431⋕⪉⪜⇑⪆20403=⇑⪆42202","layer":3},{"info":"⇑⪆413204232⫳≱↱⇑⪆42202=⇑⪆-1304","layer":2},{"info":"⇑⪆-1304⨁⊸⫻=⇑⪆-3113","layer":1},{"info":"NaN∋⇑⪆-3113=NaN","layer":0}]}
{"id":851,"expression_no_base_symbol":"(⇜((⇜$5242$)⨎($5600$⫔⩽⩺$1942$)))⇷(($1193$≬⇓$3635$⫳≱↱$3299$⊢$1237$)⇴($6011$∇⊂⋱$2229$⋝⋈⪟($1008$∲⫓$2605$)))","expression":"(⇜((⇜⇑⪆131432)⨎(⇑⪆134400⫔⩽⩺⇑⪆30232)))⇷((⇑⪆14233≬⇓⇑⪆104020⫳≱↱⇑⪆101144⊢⇑⪆14422)⇴(⇑⪆143021∇⊂⋱⇑⪆32404⋝⋈⪟(⇑⪆13013∲⫓⇑⪆40410)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1661,"operation_count":12,"complexity_ratio":138.41666666666666,"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":5242,"base":5}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":5600,"base":5},"right_expr":{"type":"numeric_atoms","value":1942,"base":5}}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1193,"base":5},"right_expr":{"type":"numeric_atoms","value":3635,"base":5}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3299,"base":5},"right_expr":{"type":"numeric_atoms","value":1237,"base":5}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":6011,"base":5},"right_expr":{"type":"numeric_atoms","value":2229,"base":5}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1008,"base":5},"right_expr":{"type":"numeric_atoms","value":2605,"base":5}}}}},"used_operators":["mp7IySMOzn","lFBm8KRb8F","rJVOvQCfKK","i9eR4S00cU","4JB6nKBMSY","ZvLB05nZmT","jWTQ2TZYIH","5twsqlHp2o","2DDjHMKMc0","nhYeJWJD5X","i8ToyICDmI"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tw270M8GLb","fu6greOZ01","sdazOOVcIp","NTOWxs364D","COABgblf1C","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆2331214","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5242","layer":4},{"info":"compute unary expreesion, input=5242, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-42344","layer":3},{"info":"number node, value=5600","layer":4},{"info":"number node, value=1942","layer":4},{"info":"compute binary expreesion, left_input=5600, right_input=1942, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-42344, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=nan","layer":1},{"info":"number node, value=1193","layer":4},{"info":"number node, value=3635","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=3635, 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=3299","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=3299, right_input=1237, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-6842","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-6842, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=6011","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=6011, right_input=2229, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=11476","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=2605","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=2605, 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=11476, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=11476","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=11476, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=21342","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=21342, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=42684","layer":0}],"base":5,"result_base":5,"text":"(⇜((⇜⇑⪆131432)⨎(⇑⪆134400⫔⩽⩺⇑⪆30232)))⇷((⇑⪆14233≬⇓⇑⪆104020⫳≱↱⇑⪆101144⊢⇑⪆14422)⇴(⇑⪆143021∇⊂⋱⇑⪆32404⋝⋈⪟(⇑⪆13013∲⫓⇑⪆40410)))=⇑⪆2331214","reverse_text":"⇑⪆2331214=(⇜((⇜⇑⪆131432)⨎(⇑⪆134400⫔⩽⩺⇑⪆30232)))⇷((⇑⪆14233≬⇓⇑⪆104020⫳≱↱⇑⪆101144⊢⇑⪆14422)⇴(⇑⪆143021∇⊂⋱⇑⪆32404⋝⋈⪟(⇑⪆13013∲⫓⇑⪆40410)))","cot":[{"info":"⇜⇑⪆131432=⇑⪆-2323334","layer":3},{"info":"⇑⪆134400⫔⩽⩺⇑⪆30232=NaN","layer":3},{"info":"⇑⪆-2323334⨎NaN=NaN","layer":2},{"info":"⇜NaN=NaN","layer":1},{"info":"⇑⪆14233≬⇓⇑⪆104020=⇑⪆-42","layer":3},{"info":"⇑⪆101144⊢⇑⪆14422=⇑⪆-204332","layer":3},{"info":"⇑⪆-42⫳≱↱⇑⪆-204332=⇑⪆-1304","layer":2},{"info":"⇑⪆143021∇⊂⋱⇑⪆32404=⇑⪆331401","layer":3},{"info":"⇑⪆13013∲⫓⇑⪆40410=⇑⪆0","layer":3},{"info":"⇑⪆331401⋝⋈⪟⇑⪆0=⇑⪆331401","layer":2},{"info":"⇑⪆-1304⇴⇑⪆331401=⇑⪆1140332","layer":1},{"info":"NaN⇷⇑⪆1140332=⇑⪆2331214","layer":0}]}
{"id":852,"expression_no_base_symbol":"(((⨙⪌$2744$)↓⨍⋜)⊋≦⊧(↘($1145$↙$2156$)))⫁⪎(($2831$⨘⋶⪀)⋹⋡⊁($3274$∛$5296$)⊾⪯⋞($2046$⋻⩜⩜$1365$⫔⩽⩺(≇⪴$2678$)))","expression":"(((⨙⪌⇑⪆41434)↓⨍⋜)⊋≦⊧(↘(⇑⪆14040↙⇑⪆32111)))⫁⪎((⇑⪆42311⨘⋶⪀)⋹⋡⊁(⇑⪆101044∛⇑⪆132141)⊾⪯⋞(⇑⪆31141⋻⩜⩜⇑⪆20430⫔⩽⩺(≇⪴⇑⪆41203)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22783,"operation_count":13,"complexity_ratio":1752.5384615384614,"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":2744,"base":5}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1145,"base":5},"right_expr":{"type":"numeric_atoms","value":2156,"base":5}}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":2831,"base":5}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3274,"base":5},"right_expr":{"type":"numeric_atoms","value":5296,"base":5}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2046,"base":5},"right_expr":{"type":"numeric_atoms","value":1365,"base":5}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2678,"base":5}}}}},"used_operators":["xRrnTEsQ6j","oRDoc9rAEX","3DVzLFNsE9","vEGLkm4Z2k","LdNpr8hQHL","yyfyN0ffXY","HK0tfVPux8","As8RqfVLgs","XVKwrhznBb","w2537kitQq","i9eR4S00cU","oDCm7WA9JY","zoVPnxeHJ3"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","uFcxV4UQCh","tmPS8pqC7x","DpFCA1CohY","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Tw270M8GLb","fu6greOZ01","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2744","layer":4},{"info":"compute unary expreesion, input=2744, 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 = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":2},{"info":"number node, value=1145","layer":4},{"info":"number node, value=2156","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=2156, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6468","layer":3},{"info":"compute unary expreesion, input=-6468, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=196","layer":2},{"info":"compute binary expreesion, left_input=6590, right_input=196, 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=-152","layer":1},{"info":"number node, value=2831","layer":4},{"info":"compute unary expreesion, input=2831, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"number node, value=3274","layer":4},{"info":"number node, value=5296","layer":4},{"info":"compute binary expreesion, left_input=3274, right_input=5296, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-670, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=nan","layer":2},{"info":"number node, value=2046","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=2046, right_input=1365, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4092","layer":3},{"info":"number node, value=2678","layer":4},{"info":"compute unary expreesion, input=2678, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-6694","layer":3},{"info":"compute binary expreesion, left_input=4092, right_input=-6694, 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 = 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=-152, 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":5,"result_base":5,"text":"(((⨙⪌⇑⪆41434)↓⨍⋜)⊋≦⊧(↘(⇑⪆14040↙⇑⪆32111)))⫁⪎((⇑⪆42311⨘⋶⪀)⋹⋡⊁(⇑⪆101044∛⇑⪆132141)⊾⪯⋞(⇑⪆31141⋻⩜⩜⇑⪆20430⫔⩽⩺(≇⪴⇑⪆41203)))=NaN","reverse_text":"NaN=(((⨙⪌⇑⪆41434)↓⨍⋜)⊋≦⊧(↘(⇑⪆14040↙⇑⪆32111)))⫁⪎((⇑⪆42311⨘⋶⪀)⋹⋡⊁(⇑⪆101044∛⇑⪆132141)⊾⪯⋞(⇑⪆31141⋻⩜⩜⇑⪆20430⫔⩽⩺(≇⪴⇑⪆41203)))","cot":[{"info":"⨙⪌⇑⪆41434=⇑⪆11433","layer":3},{"info":"⇑⪆11433↓⨍⋜=⇑⪆202330","layer":2},{"info":"⇑⪆14040↙⇑⪆32111=⇑⪆-201333","layer":3},{"info":"↘⇑⪆-201333=⇑⪆1241","layer":2},{"info":"⇑⪆202330⊋≦⊧⇑⪆1241=⇑⪆-1102","layer":1},{"info":"⇑⪆42311⨘⋶⪀=NaN","layer":3},{"info":"⇑⪆101044∛⇑⪆132141=⇑⪆-10140","layer":3},{"info":"NaN⋹⋡⊁⇑⪆-10140=NaN","layer":2},{"info":"⇑⪆31141⋻⩜⩜⇑⪆20430=⇑⪆112332","layer":3},{"info":"≇⪴⇑⪆41203=⇑⪆-203234","layer":3},{"info":"⇑⪆112332⫔⩽⩺⇑⪆-203234=NaN","layer":2},{"info":"NaN⊾⪯⋞NaN=NaN","layer":1},{"info":"⇑⪆-1102⫁⪎NaN=NaN","layer":0}]}
{"id":853,"expression_no_base_symbol":"((⫯(≯$3942$))↱($5999$⫢⨠$1063$)⪎↠($4879$⇷$5631$))≌((∓$5947$⫁$1326$)⩍⋽⫝̸(($1739$↪⪝)≎⊠⪸$3075$⩼⇪↪$4082$))","expression":"((⫯(≯⇑⪆111232))↱(⇑⪆142444⫢⨠⇑⪆13223)⪎↠(⇑⪆124004⇷⇑⪆140011))≌((∓⇑⪆142242⫁⇑⪆20301)⩍⋽⫝̸((⇑⪆23424↪⪝)≎⊠⪸⇑⪆44300⩼⇪↪⇑⪆112312))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":147610,"operation_count":13,"complexity_ratio":11354.615384615385,"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":3942,"base":5}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":5999,"base":5},"right_expr":{"type":"numeric_atoms","value":1063,"base":5}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4879,"base":5},"right_expr":{"type":"numeric_atoms","value":5631,"base":5}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5947,"base":5},"right_expr":{"type":"numeric_atoms","value":1326,"base":5}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1739,"base":5}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3075,"base":5},"right_expr":{"type":"numeric_atoms","value":4082,"base":5}}}}},"used_operators":["lyWz822IDG","SR5kFfdi6N","H6BK1Evt7c","keWfFq85dY","3tVxb0NHM4","xlXykHWxX1","mp7IySMOzn","BiWNJpBvwn","OwUj7dcsQK","0ajvFaJAv0","bJkvcejdHO","l07mrZUIn9","ocnLzx9CaJ"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","g55IO6H4Gj","JLbD19bQDL","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Ph9nP6C5qx","xUOZtlo3hN","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","2DDjHMKMc0","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"⇑⪆311142","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3942","layer":4},{"info":"compute unary expreesion, input=3942, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":2},{"info":"number node, value=5999","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=5999, right_input=1063, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=4879","layer":4},{"info":"number node, value=5631","layer":4},{"info":"compute binary expreesion, left_input=4879, right_input=5631, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11262","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=11262, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=1028","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1028, 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=-2562","layer":1},{"info":"number node, value=5947","layer":4},{"info":"number node, value=1326","layer":4},{"info":"compute binary expreesion, left_input=5947, right_input=1326, 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 = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-7272","layer":2},{"info":"number node, value=1739","layer":4},{"info":"compute unary expreesion, input=1739, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=106395498","layer":3},{"info":"number node, value=3075","layer":4},{"info":"number node, value=4082","layer":4},{"info":"compute binary expreesion, left_input=3075, right_input=4082, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-23207","layer":3},{"info":"compute binary expreesion, left_input=106395498, right_input=-23207, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-7272, right_input=67, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-276","layer":1},{"info":"compute binary expreesion, left_input=-2562, right_input=-276, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=10172","layer":0}],"base":5,"result_base":5,"text":"((⫯(≯⇑⪆111232))↱(⇑⪆142444⫢⨠⇑⪆13223)⪎↠(⇑⪆124004⇷⇑⪆140011))≌((∓⇑⪆142242⫁⇑⪆20301)⩍⋽⫝̸((⇑⪆23424↪⪝)≎⊠⪸⇑⪆44300⩼⇪↪⇑⪆112312))=⇑⪆311142","reverse_text":"⇑⪆311142=((⫯(≯⇑⪆111232))↱(⇑⪆142444⫢⨠⇑⪆13223)⪎↠(⇑⪆124004⇷⇑⪆140011))≌((∓⇑⪆142242⫁⇑⪆20301)⩍⋽⫝̸((⇑⪆23424↪⪝)≎⊠⪸⇑⪆44300⩼⇪↪⇑⪆112312))","cot":[{"info":"≯⇑⪆111232=⇑⪆0","layer":3},{"info":"⫯⇑⪆0=NaN","layer":2},{"info":"⇑⪆142444⫢⨠⇑⪆13223=⇑⪆1120","layer":3},{"info":"⇑⪆124004⇷⇑⪆140011=⇑⪆330022","layer":3},{"info":"⇑⪆1120⪎↠⇑⪆330022=⇑⪆13103","layer":2},{"info":"NaN↱⇑⪆13103=⇑⪆-40222","layer":1},{"info":"⇑⪆142242⫁⇑⪆20301=⇑⪆1120","layer":3},{"info":"∓⇑⪆1120=⇑⪆-213042","layer":2},{"info":"⇑⪆23424↪⪝=⇑⪆204214123443","layer":3},{"info":"⇑⪆44300⩼⇪↪⇑⪆112312=⇑⪆-1220312","layer":3},{"info":"⇑⪆204214123443≎⊠⪸⇑⪆-1220312=⇑⪆232","layer":2},{"info":"⇑⪆-213042⩍⋽⫝̸⇑⪆232=⇑⪆-2101","layer":1},{"info":"⇑⪆-40222≌⇑⪆-2101=⇑⪆311142","layer":0}]}
{"id":854,"expression_no_base_symbol":"($1088$*$3457$⊉≛↸(-$5621$)≬⋮(≸$2236$)≹⇙⪍($2488$⋻⩜⩜$6476$))⫥∨⫟($2050$≥⨤⩑$2583$⋭≵(⩎⋉$1695$))⪘⫢(⪨⨬$2668$)↞⋁(⇤←$1748$)","expression":"(⇑⪆13323*⇑⪆102312⊉≛↸(-⇑⪆134441)≬⋮(≸⇑⪆32421)≹⇙⪍(⇑⪆34423⋻⩜⩜⇑⪆201401))⫥∨⫟(⇑⪆31200≥⨤⩑⇑⪆40313⋭≵(⩎⋉⇑⪆23240))⪘⫢(⪨⨬⇑⪆41133)↞⋁(⇤←⇑⪆23443)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":92210,"operation_count":15,"complexity_ratio":6147.333333333333,"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":1088,"base":5},"right_expr":{"type":"numeric_atoms","value":3457,"base":5}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5621,"base":5}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2236,"base":5}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2488,"base":5},"right_expr":{"type":"numeric_atoms","value":6476,"base":5}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2050,"base":5},"right_expr":{"type":"numeric_atoms","value":2583,"base":5}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1695,"base":5}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":2668,"base":5}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1748,"base":5}}}}},"used_operators":["KYD54nUTWz","kbkesczE7y","DZ8iAZOCBD","9HNa5Wba9A","t8gj7n24qd","AHs5Up7iyr","eOf03JbCpp","oDCm7WA9JY","oacrs7FA3X","jBncVCNhdl","gJLn6v0xnP","FlXk3pOYe8","RqrPlJkxDo","5obUd6DV38","jfAgQ2OQeM"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","T2fj7uvVaJ","nlCqmYiOvY","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1088","layer":4},{"info":"number node, value=3457","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=3457, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3761216","layer":3},{"info":"number node, value=5621","layer":4},{"info":"compute unary expreesion, input=5621, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5621","layer":3},{"info":"compute binary expreesion, left_input=3761216, right_input=-5621, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7522432","layer":2},{"info":"number node, value=2236","layer":4},{"info":"compute unary expreesion, input=2236, 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=2488","layer":4},{"info":"number node, value=6476","layer":4},{"info":"compute binary expreesion, left_input=2488, right_input=6476, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4976","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=4976, 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=7522432, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":1},{"info":"number node, value=2050","layer":4},{"info":"number node, value=2583","layer":4},{"info":"compute binary expreesion, left_input=2050, right_input=2583, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1695","layer":4},{"info":"compute unary expreesion, input=1695, 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=1234, right_input=1650, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=2668","layer":4},{"info":"compute unary expreesion, input=2668, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"number node, value=1748","layer":4},{"info":"compute unary expreesion, input=1748, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-7374","layer":3},{"info":"compute binary expreesion, left_input=-526, right_input=-7374, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-526, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆13323*⇑⪆102312⊉≛↸(-⇑⪆134441)≬⋮(≸⇑⪆32421)≹⇙⪍(⇑⪆34423⋻⩜⩜⇑⪆201401))⫥∨⫟(⇑⪆31200≥⨤⩑⇑⪆40313⋭≵(⩎⋉⇑⪆23240))⪘⫢(⪨⨬⇑⪆41133)↞⋁(⇤←⇑⪆23443)=NaN","reverse_text":"NaN=(⇑⪆13323*⇑⪆102312⊉≛↸(-⇑⪆134441)≬⋮(≸⇑⪆32421)≹⇙⪍(⇑⪆34423⋻⩜⩜⇑⪆201401))⫥∨⫟(⇑⪆31200≥⨤⩑⇑⪆40313⋭≵(⩎⋉⇑⪆23240))⪘⫢(⪨⨬⇑⪆41133)↞⋁(⇤←⇑⪆23443)","cot":[{"info":"⇑⪆13323*⇑⪆102312=⇑⪆1430324331","layer":3},{"info":"-⇑⪆134441=⇑⪆-134441","layer":3},{"info":"⇑⪆1430324331⊉≛↸⇑⪆-134441=⇑⪆3411204212","layer":2},{"info":"≸⇑⪆32421=⇑⪆213","layer":3},{"info":"⇑⪆34423⋻⩜⩜⇑⪆201401=⇑⪆124401","layer":3},{"info":"⇑⪆213≹⇙⪍⇑⪆124401=NaN","layer":2},{"info":"⇑⪆3411204212≬⋮NaN=NaN","layer":1},{"info":"⇑⪆31200≥⨤⩑⇑⪆40313=⇑⪆14414","layer":3},{"info":"⩎⋉⇑⪆23240=⇑⪆23100","layer":3},{"info":"⇑⪆14414⋭≵⇑⪆23100=⇑⪆232","layer":2},{"info":"⪨⨬⇑⪆41133=⇑⪆-4101","layer":3},{"info":"⇤←⇑⪆23443=⇑⪆-213444","layer":3},{"info":"⇑⪆-4101↞⋁⇑⪆-213444=⇑⪆-4101","layer":2},{"info":"⇑⪆232⪘⫢⇑⪆-4101=⇑⪆2","layer":1},{"info":"NaN⫥∨⫟⇑⪆2=NaN","layer":0}]}
{"id":855,"expression_no_base_symbol":"(⨦⪝$2420$)⫗⊷⫓($1881$∝$1040$)⪔$2637$⊕∕$5119$⨓($3526$⊋≦⊧$2223$)≬⋮($1783$⩖⊿$1244$⪨⊡($2298$≀⩗∶$2072$))⊕∕(↓⇌($3054$⋾⨃∁$2432$))","expression":"(⨦⪝⇑⪆34140)⫗⊷⫓(⇑⪆30011∝⇑⪆13130)⪔⇑⪆41022⊕∕⇑⪆130434⨓(⇑⪆103101⊋≦⊧⇑⪆32343)≬⋮(⇑⪆24113⩖⊿⇑⪆14434⪨⊡(⇑⪆33143≀⩗∶⇑⪆31242))⊕∕(↓⇌(⇑⪆44204⋾⨃∁⇑⪆34212))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":98638,"operation_count":14,"complexity_ratio":7045.571428571428,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":2420,"base":5}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1881,"base":5},"right_expr":{"type":"numeric_atoms","value":1040,"base":5}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2637,"base":5},"right_expr":{"type":"numeric_atoms","value":5119,"base":5}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3526,"base":5},"right_expr":{"type":"numeric_atoms","value":2223,"base":5}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1783,"base":5},"right_expr":{"type":"numeric_atoms","value":1244,"base":5}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2298,"base":5},"right_expr":{"type":"numeric_atoms","value":2072,"base":5}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3054,"base":5},"right_expr":{"type":"numeric_atoms","value":2432,"base":5}}}}},"used_operators":["kbkesczE7y","GjBEYRfMaF","zashukvMKz","SUjycxNXIR","cTDWOvIxvz","3ViojmjbAp","9cloC0Ngie","oRDoc9rAEX","kuIXHzHcAH","RZ5CV9rWsJ","8INZBEW696","PxpmPgHHJV","212REbPD9h"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","7j4O788W3g","W4YGzv6Whe","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"⇑⪆11433","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2420","layer":4},{"info":"compute unary expreesion, input=2420, 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=1881","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=1881, right_input=1040, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1886","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=1886, 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=2637","layer":4},{"info":"number node, value=5119","layer":4},{"info":"compute binary expreesion, left_input=2637, right_input=5119, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2637","layer":3},{"info":"number node, value=3526","layer":4},{"info":"number node, value=2223","layer":4},{"info":"compute binary expreesion, left_input=3526, right_input=2223, 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=-4206","layer":3},{"info":"compute binary expreesion, left_input=2637, right_input=-4206, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=4203","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=4203, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"number node, value=1783","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=1244, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=2738","layer":3},{"info":"number node, value=2298","layer":4},{"info":"number node, value=2072","layer":4},{"info":"compute binary expreesion, left_input=2298, right_input=2072, 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=2738, right_input=0, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=789","layer":2},{"info":"number node, value=3054","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=3054, right_input=2432, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=59116962","layer":3},{"info":"compute unary expreesion, input=59116962, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=59116962","layer":2},{"info":"compute binary expreesion, left_input=789, right_input=59116962, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=789","layer":1},{"info":"compute binary expreesion, left_input=450, right_input=789, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":5,"result_base":5,"text":"(⨦⪝⇑⪆34140)⫗⊷⫓(⇑⪆30011∝⇑⪆13130)⪔⇑⪆41022⊕∕⇑⪆130434⨓(⇑⪆103101⊋≦⊧⇑⪆32343)≬⋮(⇑⪆24113⩖⊿⇑⪆14434⪨⊡(⇑⪆33143≀⩗∶⇑⪆31242))⊕∕(↓⇌(⇑⪆44204⋾⨃∁⇑⪆34212))=⇑⪆11433","reverse_text":"⇑⪆11433=(⨦⪝⇑⪆34140)⫗⊷⫓(⇑⪆30011∝⇑⪆13130)⪔⇑⪆41022⊕∕⇑⪆130434⨓(⇑⪆103101⊋≦⊧⇑⪆32343)≬⋮(⇑⪆24113⩖⊿⇑⪆14434⪨⊡(⇑⪆33143≀⩗∶⇑⪆31242))⊕∕(↓⇌(⇑⪆44204⋾⨃∁⇑⪆34212))","cot":[{"info":"⨦⪝⇑⪆34140=⇑⪆-30014","layer":3},{"info":"⇑⪆30011∝⇑⪆13130=⇑⪆30021","layer":3},{"info":"⇑⪆-30014⫗⊷⫓⇑⪆30021=⇑⪆-1014","layer":2},{"info":"⇑⪆41022⊕∕⇑⪆130434=⇑⪆41022","layer":3},{"info":"⇑⪆103101⊋≦⊧⇑⪆32343=⇑⪆-113311","layer":3},{"info":"⇑⪆41022⨓⇑⪆-113311=⇑⪆113303","layer":2},{"info":"⇑⪆-1014⪔⇑⪆113303=⇑⪆3300","layer":1},{"info":"⇑⪆24113⩖⊿⇑⪆14434=⇑⪆41423","layer":3},{"info":"⇑⪆33143≀⩗∶⇑⪆31242=⇑⪆0","layer":3},{"info":"⇑⪆41423⪨⊡⇑⪆0=⇑⪆11124","layer":2},{"info":"⇑⪆44204⋾⨃∁⇑⪆34212=⇑⪆110113220322","layer":3},{"info":"↓⇌⇑⪆110113220322=⇑⪆110113220322","layer":2},{"info":"⇑⪆11124⊕∕⇑⪆110113220322=⇑⪆11124","layer":1},{"info":"⇑⪆3300≬⋮⇑⪆11124=⇑⪆11433","layer":0}]}
{"id":856,"expression_no_base_symbol":"($1225$⫍⨯↯)⫯⪬∳($1530$⫡⨏$2689$)⨚⇆($5460$⊉≛↸$3523$⇼⇔∾$1338$∙⊟$5448$)↙($5104$⋣⋖$1852$∑⇟⊟(≇⪴$7310$))⇂≾⫗((∥⊫$3421$)∀⇚≩($6045$↱$1088$))","expression":"(⇑⪆14400⫍⨯↯)⫯⪬∳(⇑⪆22110⫡⨏⇑⪆41224)⨚⇆(⇑⪆133320⊉≛↸⇑⪆103043⇼⇔∾⇑⪆20323∙⊟⇑⪆133243)↙(⇑⪆130404⋣⋖⇑⪆24402∑⇟⊟(≇⪴⇑⪆213220))⇂≾⫗((∥⊫⇑⪆102141)∀⇚≩(⇑⪆143140↱⇑⪆13323))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":86356,"operation_count":15,"complexity_ratio":5757.066666666667,"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":1225,"base":5}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1530,"base":5},"right_expr":{"type":"numeric_atoms","value":2689,"base":5}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5460,"base":5},"right_expr":{"type":"numeric_atoms","value":3523,"base":5}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1338,"base":5},"right_expr":{"type":"numeric_atoms","value":5448,"base":5}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":5104,"base":5},"right_expr":{"type":"numeric_atoms","value":1852,"base":5}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":7310,"base":5}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3421,"base":5}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":6045,"base":5},"right_expr":{"type":"numeric_atoms","value":1088,"base":5}}}}},"used_operators":["yyfyN0ffXY","lwHaAYXP2r","d7ASUq0ydm","ZcwmYACASQ","QMFrweE19q","tifHPKVTfV","DZ8iAZOCBD","SxTAKzQCrw","aBQ6xLxuTc","U7g4x0WXJJ","J0M6qkBnIM","zoVPnxeHJ3","LRNGc0VcxI","P8v4zCKN1o","SR5kFfdi6N"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1225","layer":4},{"info":"compute unary expreesion, input=1225, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=1192","layer":3},{"info":"number node, value=1530","layer":4},{"info":"number node, value=2689","layer":4},{"info":"compute binary expreesion, left_input=1530, right_input=2689, 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=13811","layer":3},{"info":"compute binary expreesion, left_input=1192, right_input=13811, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-7818","layer":2},{"info":"number node, value=5460","layer":4},{"info":"number node, value=3523","layer":4},{"info":"compute binary expreesion, left_input=5460, right_input=3523, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10920","layer":3},{"info":"number node, value=1338","layer":4},{"info":"number node, value=5448","layer":4},{"info":"compute binary expreesion, left_input=1338, right_input=5448, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=27240","layer":3},{"info":"compute binary expreesion, left_input=10920, right_input=27240, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=16320","layer":2},{"info":"compute binary expreesion, left_input=-7818, right_input=16320, 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=5104","layer":4},{"info":"number node, value=1852","layer":4},{"info":"compute binary expreesion, left_input=5104, right_input=1852, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=5104","layer":3},{"info":"number node, value=7310","layer":4},{"info":"compute unary expreesion, input=7310, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-20590","layer":3},{"info":"compute binary expreesion, left_input=5104, right_input=-20590, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=3421","layer":4},{"info":"compute unary expreesion, input=3421, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4289","layer":3},{"info":"number node, value=6045","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=6045, right_input=1088, 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=-2742","layer":3},{"info":"compute binary expreesion, left_input=4289, right_input=-2742, 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=nan, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆14400⫍⨯↯)⫯⪬∳(⇑⪆22110⫡⨏⇑⪆41224)⨚⇆(⇑⪆133320⊉≛↸⇑⪆103043⇼⇔∾⇑⪆20323∙⊟⇑⪆133243)↙(⇑⪆130404⋣⋖⇑⪆24402∑⇟⊟(≇⪴⇑⪆213220))⇂≾⫗((∥⊫⇑⪆102141)∀⇚≩(⇑⪆143140↱⇑⪆13323))=NaN","reverse_text":"NaN=(⇑⪆14400⫍⨯↯)⫯⪬∳(⇑⪆22110⫡⨏⇑⪆41224)⨚⇆(⇑⪆133320⊉≛↸⇑⪆103043⇼⇔∾⇑⪆20323∙⊟⇑⪆133243)↙(⇑⪆130404⋣⋖⇑⪆24402∑⇟⊟(≇⪴⇑⪆213220))⇂≾⫗((∥⊫⇑⪆102141)∀⇚≩(⇑⪆143140↱⇑⪆13323))","cot":[{"info":"⇑⪆14400⫍⨯↯=⇑⪆14232","layer":3},{"info":"⇑⪆22110⫡⨏⇑⪆41224=⇑⪆420221","layer":3},{"info":"⇑⪆14232⫯⪬∳⇑⪆420221=⇑⪆-222233","layer":2},{"info":"⇑⪆133320⊉≛↸⇑⪆103043=⇑⪆322140","layer":3},{"info":"⇑⪆20323∙⊟⇑⪆133243=⇑⪆1332430","layer":3},{"info":"⇑⪆322140⇼⇔∾⇑⪆1332430=⇑⪆1010240","layer":2},{"info":"⇑⪆-222233⨚⇆⇑⪆1010240=NaN","layer":1},{"info":"⇑⪆130404⋣⋖⇑⪆24402=⇑⪆130404","layer":3},{"info":"≇⪴⇑⪆213220=⇑⪆-1124330","layer":3},{"info":"⇑⪆130404∑⇟⊟⇑⪆-1124330=NaN","layer":2},{"info":"∥⊫⇑⪆102141=⇑⪆114124","layer":3},{"info":"⇑⪆143140↱⇑⪆13323=⇑⪆-41432","layer":3},{"info":"⇑⪆114124∀⇚≩⇑⪆-41432=NaN","layer":2},{"info":"NaN⇂≾⫗NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":857,"expression_no_base_symbol":"(($1295$⫡⨏$5382$)⊾⪯⋞$4814$⨎$1778$)↓($1313$∥⊢⊲$4026$⪨≂$1860$⫥∨⫟$3186$)⪔((⊀$1004$)⊴($6687$⫥∨⫟$3936$))⪝(($4777$⇟⨁⪰)+⪬∐(+⊝⨔$5297$))","expression":"((⇑⪆20140⫡⨏⇑⪆133012)⊾⪯⋞⇑⪆123224⨎⇑⪆24103)↓(⇑⪆20223∥⊢⊲⇑⪆112101⪨≂⇑⪆24420⫥∨⫟⇑⪆100221)⪔((⊀⇑⪆13004)⊴(⇑⪆203222⫥∨⫟⇑⪆111221))⪝((⇑⪆123102⇟⨁⪰)+⪬∐(+⊝⨔⇑⪆132142))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1235,"operation_count":15,"complexity_ratio":82.33333333333333,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1295,"base":5},"right_expr":{"type":"numeric_atoms","value":5382,"base":5}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4814,"base":5},"right_expr":{"type":"numeric_atoms","value":1778,"base":5}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1313,"base":5},"right_expr":{"type":"numeric_atoms","value":4026,"base":5}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1860,"base":5},"right_expr":{"type":"numeric_atoms","value":3186,"base":5}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1004,"base":5}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6687,"base":5},"right_expr":{"type":"numeric_atoms","value":3936,"base":5}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":4777,"base":5}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5297,"base":5}}}}},"used_operators":["GjBEYRfMaF","Af076pWI7l","HK0tfVPux8","QMFrweE19q","rJVOvQCfKK","sdazOOVcIp","v1UQAVDJRr","KYD54nUTWz","wicAB68Tmb","Nsiff2A1zJ","oPMjh9089D","2GS7woTJqF","BX1lVwlMe0","DhbWaqg5eL"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","2DDjHMKMc0","xUOZtlo3hN","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1295","layer":4},{"info":"number node, value=5382","layer":4},{"info":"compute binary expreesion, left_input=1295, right_input=5382, 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=18022","layer":3},{"info":"number node, value=4814","layer":4},{"info":"number node, value=1778","layer":4},{"info":"compute binary expreesion, left_input=4814, right_input=1778, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1778","layer":3},{"info":"compute binary expreesion, left_input=18022, right_input=1778, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3130","layer":2},{"info":"number node, value=1313","layer":4},{"info":"number node, value=4026","layer":4},{"info":"compute binary expreesion, left_input=1313, right_input=4026, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1860","layer":4},{"info":"number node, value=3186","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=3186, 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 = 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=3130, 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=1004","layer":4},{"info":"compute unary expreesion, input=1004, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=3754","layer":3},{"info":"number node, value=6687","layer":4},{"info":"number node, value=3936","layer":4},{"info":"compute binary expreesion, left_input=6687, right_input=3936, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3754, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=4777","layer":4},{"info":"compute unary expreesion, input=4777, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-4951","layer":3},{"info":"number node, value=5297","layer":4},{"info":"compute unary expreesion, input=5297, 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=-4951, right_input=1522, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=14853","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=14853, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆20140⫡⨏⇑⪆133012)⊾⪯⋞⇑⪆123224⨎⇑⪆24103)↓(⇑⪆20223∥⊢⊲⇑⪆112101⪨≂⇑⪆24420⫥∨⫟⇑⪆100221)⪔((⊀⇑⪆13004)⊴(⇑⪆203222⫥∨⫟⇑⪆111221))⪝((⇑⪆123102⇟⨁⪰)+⪬∐(+⊝⨔⇑⪆132142))=NaN","reverse_text":"NaN=((⇑⪆20140⫡⨏⇑⪆133012)⊾⪯⋞⇑⪆123224⨎⇑⪆24103)↓(⇑⪆20223∥⊢⊲⇑⪆112101⪨≂⇑⪆24420⫥∨⫟⇑⪆100221)⪔((⊀⇑⪆13004)⊴(⇑⪆203222⫥∨⫟⇑⪆111221))⪝((⇑⪆123102⇟⨁⪰)+⪬∐(+⊝⨔⇑⪆132142))","cot":[{"info":"⇑⪆20140⫡⨏⇑⪆133012=⇑⪆1034042","layer":3},{"info":"⇑⪆123224⨎⇑⪆24103=⇑⪆24103","layer":3},{"info":"⇑⪆1034042⊾⪯⋞⇑⪆24103=⇑⪆100010","layer":2},{"info":"⇑⪆20223∥⊢⊲⇑⪆112101=NaN","layer":3},{"info":"⇑⪆24420⫥∨⫟⇑⪆100221=NaN","layer":3},{"info":"NaN⪨≂NaN=NaN","layer":2},{"info":"⇑⪆100010↓NaN=⇑⪆-1014","layer":1},{"info":"⊀⇑⪆13004=⇑⪆110004","layer":3},{"info":"⇑⪆203222⫥∨⫟⇑⪆111221=NaN","layer":3},{"info":"⇑⪆110004⊴NaN=NaN","layer":2},{"info":"⇑⪆123102⇟⨁⪰=⇑⪆-124301","layer":3},{"info":"+⊝⨔⇑⪆132142=⇑⪆22042","layer":3},{"info":"⇑⪆-124301+⪬∐⇑⪆22042=⇑⪆433403","layer":2},{"info":"NaN⪝⇑⪆433403=NaN","layer":1},{"info":"⇑⪆-1014⪔NaN=NaN","layer":0}]}
{"id":858,"expression_no_base_symbol":"((($2464$⫚↹⊑$2527$)⩱)⊬⫿⊭)⫸⇳(($3461$≚⊃≕$8213$)⩦($2901$∓⋝$2015$)⨑≵⋬(↔(≉$1363$)))","expression":"(((⇑⪆34324⫚↹⊑⇑⪆40102)⩱)⊬⫿⊭)⫸⇳((⇑⪆102321≚⊃≕⇑⪆230323)⩦(⇑⪆43101∓⋝⇑⪆31030)⨑≵⋬(↔(≉⇑⪆20423)))","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":165,"operation_count":10,"complexity_ratio":16.5,"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":2464,"base":5},"right_expr":{"type":"numeric_atoms","value":2527,"base":5}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3461,"base":5},"right_expr":{"type":"numeric_atoms","value":8213,"base":5}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2901,"base":5},"right_expr":{"type":"numeric_atoms","value":2015,"base":5}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1363,"base":5}}}}},"used_operators":["gx7XJ7hdpj","v0DYgG9ikt","uyq1hVkAcj","dfKe02y8D2","XnXgA4xnOs","0kmYd0q39Y","Bmrmz2XGnR","PoHhknlbAi","ruOEQAzv1W","e1ybzncUwg"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2464","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=2464, right_input=2527, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=2432","layer":2},{"info":"compute unary expreesion, input=2432, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-7296","layer":1},{"info":"number node, value=3461","layer":4},{"info":"number node, value=8213","layer":4},{"info":"compute binary expreesion, left_input=3461, right_input=8213, 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=-21213","layer":3},{"info":"number node, value=2901","layer":4},{"info":"number node, value=2015","layer":4},{"info":"compute binary expreesion, left_input=2901, right_input=2015, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-21213, right_input=67, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-213361","layer":2},{"info":"number node, value=1363","layer":4},{"info":"compute unary expreesion, input=1363, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1894","layer":3},{"info":"compute unary expreesion, input=1894, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1621","layer":2},{"info":"compute binary expreesion, left_input=-213361, right_input=-1621, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-1049805","layer":1},{"info":"compute binary expreesion, left_input=-7296, right_input=-1049805, 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":5,"result_base":5,"text":"(((⇑⪆34324⫚↹⊑⇑⪆40102)⩱)⊬⫿⊭)⫸⇳((⇑⪆102321≚⊃≕⇑⪆230323)⩦(⇑⪆43101∓⋝⇑⪆31030)⨑≵⋬(↔(≉⇑⪆20423)))=⇑⪆0","reverse_text":"⇑⪆0=(((⇑⪆34324⫚↹⊑⇑⪆40102)⩱)⊬⫿⊭)⫸⇳((⇑⪆102321≚⊃≕⇑⪆230323)⩦(⇑⪆43101∓⋝⇑⪆31030)⨑≵⋬(↔(≉⇑⪆20423)))","cot":[{"info":"⇑⪆34324⫚↹⊑⇑⪆40102=⇑⪆-3242","layer":3},{"info":"⇑⪆-3242⩱=⇑⪆34212","layer":2},{"info":"⇑⪆34212⊬⫿⊭=⇑⪆-213141","layer":1},{"info":"⇑⪆102321≚⊃≕⇑⪆230323=⇑⪆-1134323","layer":3},{"info":"⇑⪆43101∓⋝⇑⪆31030=⇑⪆232","layer":3},{"info":"⇑⪆-1134323⩦⇑⪆232=⇑⪆-23311421","layer":2},{"info":"≉⇑⪆20423=⇑⪆30034","layer":3},{"info":"↔⇑⪆30034=⇑⪆-22441","layer":2},{"info":"⇑⪆-23311421⨑≵⋬⇑⪆-22441=⇑⪆-232043210","layer":1},{"info":"⇑⪆-213141⫸⇳⇑⪆-232043210=⇑⪆0","layer":0}]}
{"id":859,"expression_no_base_symbol":"≉(⪫⨮⊛(≇⪴($1035$⩒⫫$1002$)))","expression":"≉(⪫⨮⊛(≇⪴(⇑⪆13120⩒⫫⇑⪆13002)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":33,"operation_count":4,"complexity_ratio":8.25,"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":1035,"base":5},"right_expr":{"type":"numeric_atoms","value":1002,"base":5}}}}},"used_operators":["e1ybzncUwg","w5FWba1tyO","zoVPnxeHJ3","KFSx94NKJn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"⇑⪆-11414","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=1002, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=733","layer":3},{"info":"compute unary expreesion, input=733, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-859","layer":2},{"info":"compute unary expreesion, input=-859, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=-859","layer":1},{"info":"compute unary expreesion, input=-859, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-859","layer":0}],"base":5,"result_base":5,"text":"≉(⪫⨮⊛(≇⪴(⇑⪆13120⩒⫫⇑⪆13002)))=⇑⪆-11414","reverse_text":"⇑⪆-11414=≉(⪫⨮⊛(≇⪴(⇑⪆13120⩒⫫⇑⪆13002)))","cot":[{"info":"⇑⪆13120⩒⫫⇑⪆13002=⇑⪆10413","layer":3},{"info":"≇⪴⇑⪆10413=⇑⪆-11414","layer":2},{"info":"⪫⨮⊛⇑⪆-11414=⇑⪆-11414","layer":1},{"info":"≉⇑⪆-11414=⇑⪆-11414","layer":0}]}
{"id":860,"expression_no_base_symbol":"⫟($9002$⨥⫆$2557$)⨔⇊($1040$≧⫂∧$1819$)≚⊃≕(↸⊣($1979$⪪$2238$))","expression":"⫟(⇑⪆242002⨥⫆⇑⪆40212)⨔⇊(⇑⪆13130≧⫂∧⇑⪆24234)≚⊃≕(↸⊣(⇑⪆30404⪪⇑⪆32423))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6134,"operation_count":7,"complexity_ratio":876.2857142857143,"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":9002,"base":5},"right_expr":{"type":"numeric_atoms","value":2557,"base":5}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1040,"base":5},"right_expr":{"type":"numeric_atoms","value":1819,"base":5}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1979,"base":5},"right_expr":{"type":"numeric_atoms","value":2238,"base":5}}}}},"used_operators":["z4E1FaHLuy","Bmrmz2XGnR","JclMnS0uGI","yXekIHxTD4","Ph9nP6C5qx","wztAlM01eG","xD69zh8xqp"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","FU0Cs4j7VP","JclMnS0uGI"],"result":"⇑⪆423120244","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=9002","layer":4},{"info":"number node, value=2557","layer":4},{"info":"compute binary expreesion, left_input=9002, right_input=2557, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4990","layer":3},{"info":"number node, value=1040","layer":4},{"info":"number node, value=1819","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=1819, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1346","layer":3},{"info":"compute binary expreesion, left_input=4990, right_input=1346, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1346","layer":2},{"info":"number node, value=1979","layer":4},{"info":"number node, value=2238","layer":4},{"info":"compute binary expreesion, left_input=1979, right_input=2238, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-294918","layer":3},{"info":"compute unary expreesion, input=-294918, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=589836","layer":2},{"info":"compute binary expreesion, left_input=1346, right_input=589836, 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=-1770312","layer":1},{"info":"compute unary expreesion, input=-1770312, 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=1770074","layer":0}],"base":5,"result_base":5,"text":"⫟(⇑⪆242002⨥⫆⇑⪆40212)⨔⇊(⇑⪆13130≧⫂∧⇑⪆24234)≚⊃≕(↸⊣(⇑⪆30404⪪⇑⪆32423))=⇑⪆423120244","reverse_text":"⇑⪆423120244=⫟(⇑⪆242002⨥⫆⇑⪆40212)⨔⇊(⇑⪆13130≧⫂∧⇑⪆24234)≚⊃≕(↸⊣(⇑⪆30404⪪⇑⪆32423))","cot":[{"info":"⇑⪆242002⨥⫆⇑⪆40212=⇑⪆124430","layer":3},{"info":"⇑⪆13130≧⫂∧⇑⪆24234=⇑⪆20341","layer":3},{"info":"⇑⪆124430⨔⇊⇑⪆20341=⇑⪆20341","layer":2},{"info":"⇑⪆30404⪪⇑⪆32423=⇑⪆-33414133","layer":3},{"info":"↸⊣⇑⪆-33414133=⇑⪆122333321","layer":2},{"info":"⇑⪆20341≚⊃≕⇑⪆122333321=⇑⪆-423122222","layer":1},{"info":"⫟⇑⪆-423122222=⇑⪆423120244","layer":0}]}
{"id":861,"expression_no_base_symbol":"(($2283$-$1024$)⪶≀⋏(≉$2875$))⪒⊣⊆(($2622$⫢⨠$4080$)≹⇙⪍($2145$⊘))⋥⋵⩄(($2339$⪒$4318$)⨫⇇↔($1455$⊿∆))⋹⋡⊁(⊿$5460$⊭↱$5426$)","expression":"((⇑⪆33113-⇑⪆13044)⪶≀⋏(≉⇑⪆43000))⪒⊣⊆((⇑⪆40442⫢⨠⇑⪆112310)≹⇙⪍(⇑⪆32040⊘))⋥⋵⩄((⇑⪆33324⪒⇑⪆114233)⨫⇇↔(⇑⪆21310⊿∆))⋹⋡⊁(⊿⇑⪆133320⊭↱⇑⪆133201)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":194,"operation_count":14,"complexity_ratio":13.857142857142858,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2283,"base":5},"right_expr":{"type":"numeric_atoms","value":1024,"base":5}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2875,"base":5}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2622,"base":5},"right_expr":{"type":"numeric_atoms","value":4080,"base":5}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2145,"base":5}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2339,"base":5},"right_expr":{"type":"numeric_atoms","value":4318,"base":5}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":1455,"base":5}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5460,"base":5},"right_expr":{"type":"numeric_atoms","value":5426,"base":5}}}}},"used_operators":["7t3wd0Fuz7","eRqsBgTDFp","zR4jO40bMj","rysDP5nf3Z","e1ybzncUwg","AHs5Up7iyr","xlXykHWxX1","gu96TGCTMs","As8RqfVLgs","LXhwmt4mBO","f6k1SAg4EE","fv3ZujxkQL","DO4fhlbJSI","COABgblf1C"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"⇑⪆423","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2283","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=2283, right_input=1024, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1259","layer":3},{"info":"number node, value=2875","layer":4},{"info":"compute unary expreesion, input=2875, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3406","layer":3},{"info":"compute binary expreesion, left_input=1259, right_input=3406, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-10821","layer":2},{"info":"number node, value=2622","layer":4},{"info":"number node, value=4080","layer":4},{"info":"compute binary expreesion, left_input=2622, right_input=4080, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=2145","layer":4},{"info":"compute unary expreesion, input=2145, 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=160, 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=160","layer":2},{"info":"compute binary expreesion, left_input=-10821, right_input=160, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=22064","layer":1},{"info":"number node, value=2339","layer":4},{"info":"number node, value=4318","layer":4},{"info":"compute binary expreesion, left_input=2339, right_input=4318, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6657","layer":3},{"info":"number node, value=1455","layer":4},{"info":"compute unary expreesion, input=1455, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-3031","layer":3},{"info":"compute binary expreesion, left_input=-6657, right_input=-3031, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=5460","layer":4},{"info":"number node, value=5426","layer":4},{"info":"compute binary expreesion, left_input=5460, right_input=5426, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-63","layer":3},{"info":"compute unary expreesion, input=-63, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-486","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=-486, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=8170","layer":1},{"info":"compute binary expreesion, left_input=22064, right_input=8170, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆33113-⇑⪆13044)⪶≀⋏(≉⇑⪆43000))⪒⊣⊆((⇑⪆40442⫢⨠⇑⪆112310)≹⇙⪍(⇑⪆32040⊘))⋥⋵⩄((⇑⪆33324⪒⇑⪆114233)⨫⇇↔(⇑⪆21310⊿∆))⋹⋡⊁(⊿⇑⪆133320⊭↱⇑⪆133201)=⇑⪆423","reverse_text":"⇑⪆423=((⇑⪆33113-⇑⪆13044)⪶≀⋏(≉⇑⪆43000))⪒⊣⊆((⇑⪆40442⫢⨠⇑⪆112310)≹⇙⪍(⇑⪆32040⊘))⋥⋵⩄((⇑⪆33324⪒⇑⪆114233)⨫⇇↔(⇑⪆21310⊿∆))⋹⋡⊁(⊿⇑⪆133320⊭↱⇑⪆133201)","cot":[{"info":"⇑⪆33113-⇑⪆13044=⇑⪆20014","layer":3},{"info":"≉⇑⪆43000=⇑⪆102111","layer":3},{"info":"⇑⪆20014⪶≀⋏⇑⪆102111=⇑⪆-321241","layer":2},{"info":"⇑⪆40442⫢⨠⇑⪆112310=⇑⪆1120","layer":3},{"info":"⇑⪆32040⊘=⇑⪆0","layer":3},{"info":"⇑⪆1120≹⇙⪍⇑⪆0=⇑⪆1120","layer":2},{"info":"⇑⪆-321241⪒⊣⊆⇑⪆1120=⇑⪆1201224","layer":1},{"info":"⇑⪆33324⪒⇑⪆114233=⇑⪆-203112","layer":3},{"info":"⇑⪆21310⊿∆=⇑⪆-44111","layer":3},{"info":"⇑⪆-203112⨫⇇↔⇑⪆-44111=⇑⪆-4102","layer":2},{"info":"⇑⪆133320⊭↱⇑⪆133201=⇑⪆-223","layer":3},{"info":"⊿⇑⪆-223=⇑⪆-3421","layer":2},{"info":"⇑⪆-4102⋹⋡⊁⇑⪆-3421=⇑⪆230140","layer":1},{"info":"⇑⪆1201224⋥⋵⩄⇑⪆230140=⇑⪆423","layer":0}]}
{"id":862,"expression_no_base_symbol":"(⇠$3696$→⨶⪴$2984$)⨽∌(($5673$≚⋢)⋓$1048$⨼⩣$1149$)⩌⋺(⨙⪌($2588$⇤$3027$⩉⊫⨁))","expression":"(⇠⇑⪆104241→⨶⪴⇑⪆43414)⨽∌((⇑⪆140143≚⋢)⋓⇑⪆13143⨼⩣⇑⪆14044)⩌⋺(⨙⪌(⇑⪆40323⇤⇑⪆44102⩉⊫⨁))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1458,"operation_count":10,"complexity_ratio":145.8,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3696,"base":5},"right_expr":{"type":"numeric_atoms","value":2984,"base":5}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":5673,"base":5}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1048,"base":5},"right_expr":{"type":"numeric_atoms","value":1149,"base":5}}}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2588,"base":5},"right_expr":{"type":"numeric_atoms","value":3027,"base":5}}}}},"used_operators":["g7Hmc5v1ko","9samAPKr6k","18saOjeKKm","bF6eod5Gvf","T2fj7uvVaJ","MahUMFw56D","JxwMv5le6e","vEGLkm4Z2k","7qqUquhhSb","YSKBFp38Pu"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","8w2t5hMYqp","9FxExcQeMw","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3ViojmjbAp","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","7j4O788W3g","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3696","layer":4},{"info":"number node, value=2984","layer":4},{"info":"compute binary expreesion, left_input=3696, right_input=2984, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-8952","layer":3},{"info":"compute unary expreesion, input=-8952, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":2},{"info":"number node, value=5673","layer":4},{"info":"compute unary expreesion, input=5673, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"number node, value=1048","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=1149, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-89, 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=0, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":1},{"info":"number node, value=2588","layer":4},{"info":"number node, value=3027","layer":4},{"info":"compute binary expreesion, left_input=2588, right_input=3027, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-25227","layer":3},{"info":"compute unary expreesion, input=-25227, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=-25227","layer":2},{"info":"compute unary expreesion, input=-25227, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=868, 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":5,"result_base":5,"text":"(⇠⇑⪆104241→⨶⪴⇑⪆43414)⨽∌((⇑⪆140143≚⋢)⋓⇑⪆13143⨼⩣⇑⪆14044)⩌⋺(⨙⪌(⇑⪆40323⇤⇑⪆44102⩉⊫⨁))=NaN","reverse_text":"NaN=(⇠⇑⪆104241→⨶⪴⇑⪆43414)⨽∌((⇑⪆140143≚⋢)⋓⇑⪆13143⨼⩣⇑⪆14044)⩌⋺(⨙⪌(⇑⪆40323⇤⇑⪆44102⩉⊫⨁))","cot":[{"info":"⇑⪆104241→⨶⪴⇑⪆43414=⇑⪆-241302","layer":3},{"info":"⇠⇑⪆-241302=⇑⪆0","layer":2},{"info":"⇑⪆140143≚⋢=⇑⪆-324","layer":3},{"info":"⇑⪆13143⨼⩣⇑⪆14044=NaN","layer":3},{"info":"⇑⪆-324⋓NaN=NaN","layer":2},{"info":"⇑⪆0⨽∌NaN=NaN","layer":1},{"info":"⇑⪆40323⇤⇑⪆44102=⇑⪆-1301402","layer":3},{"info":"⇑⪆-1301402⩉⊫⨁=⇑⪆-1301402","layer":2},{"info":"⨙⪌⇑⪆-1301402=⇑⪆11433","layer":1},{"info":"NaN⩌⋺⇑⪆11433=NaN","layer":0}]}
{"id":863,"expression_no_base_symbol":"((≋$1257$)∑⇟⊟$2655$⨿$3398$≧⫂∧($3378$≧⫂∧$4456$)⇌⫙⪟(≯$1436$))∇⊂⋱(↣≠⋷($4631$⪒⊣⊆$1670$⪍↜⋙($2313$/$7583$)))","expression":"((≋⇑⪆20012)∑⇟⊟⇑⪆41110⨿⇑⪆102043≧⫂∧(⇑⪆102003≧⫂∧⇑⪆120311)⇌⫙⪟(≯⇑⪆21221))∇⊂⋱(↣≠⋷(⇑⪆122011⪒⊣⊆⇑⪆23140⪍↜⋙(⇑⪆33223/⇑⪆220313)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":102519,"operation_count":12,"complexity_ratio":8543.25,"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":1257,"base":5}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2655,"base":5},"right_expr":{"type":"numeric_atoms","value":3398,"base":5}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3378,"base":5},"right_expr":{"type":"numeric_atoms","value":4456,"base":5}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1436,"base":5}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4631,"base":5},"right_expr":{"type":"numeric_atoms","value":1670,"base":5}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2313,"base":5},"right_expr":{"type":"numeric_atoms","value":7583,"base":5}}}}},"used_operators":["nhYeJWJD5X","Ph9nP6C5qx","U7g4x0WXJJ","61wBmkZwlr","abYXlopdE0","AFVx7xoS7T","keWfFq85dY","Asc51vEJeQ","L05ObWFQCd","eRqsBgTDFp","XhwjNDsVaA"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","7j4O788W3g","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","g55IO6H4Gj","JLbD19bQDL","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1257","layer":4},{"info":"compute unary expreesion, input=1257, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1257","layer":3},{"info":"number node, value=2655","layer":4},{"info":"number node, value=3398","layer":4},{"info":"compute binary expreesion, left_input=2655, right_input=3398, 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=1257, right_input=-319, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=3378","layer":4},{"info":"number node, value=4456","layer":4},{"info":"compute binary expreesion, left_input=3378, right_input=4456, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3983","layer":3},{"info":"number node, value=1436","layer":4},{"info":"compute unary expreesion, input=1436, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3983, 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=nan, right_input=113, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-360","layer":1},{"info":"number node, value=4631","layer":4},{"info":"number node, value=1670","layer":4},{"info":"compute binary expreesion, left_input=4631, right_input=1670, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=9262","layer":3},{"info":"number node, value=2313","layer":4},{"info":"number node, value=7583","layer":4},{"info":"compute binary expreesion, left_input=2313, right_input=7583, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=9262, right_input=0, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=18524","layer":2},{"info":"compute unary expreesion, input=18524, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-360, 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":5,"result_base":5,"text":"((≋⇑⪆20012)∑⇟⊟⇑⪆41110⨿⇑⪆102043≧⫂∧(⇑⪆102003≧⫂∧⇑⪆120311)⇌⫙⪟(≯⇑⪆21221))∇⊂⋱(↣≠⋷(⇑⪆122011⪒⊣⊆⇑⪆23140⪍↜⋙(⇑⪆33223/⇑⪆220313)))=NaN","reverse_text":"NaN=((≋⇑⪆20012)∑⇟⊟⇑⪆41110⨿⇑⪆102043≧⫂∧(⇑⪆102003≧⫂∧⇑⪆120311)⇌⫙⪟(≯⇑⪆21221))∇⊂⋱(↣≠⋷(⇑⪆122011⪒⊣⊆⇑⪆23140⪍↜⋙(⇑⪆33223/⇑⪆220313)))","cot":[{"info":"≋⇑⪆20012=⇑⪆20012","layer":3},{"info":"⇑⪆41110⨿⇑⪆102043=⇑⪆-2234","layer":3},{"info":"⇑⪆20012∑⇟⊟⇑⪆-2234=NaN","layer":2},{"info":"⇑⪆102003≧⫂∧⇑⪆120311=⇑⪆111413","layer":3},{"info":"≯⇑⪆21221=⇑⪆0","layer":3},{"info":"⇑⪆111413⇌⫙⪟⇑⪆0=⇑⪆423","layer":2},{"info":"NaN≧⫂∧⇑⪆423=⇑⪆-2420","layer":1},{"info":"⇑⪆122011⪒⊣⊆⇑⪆23140=⇑⪆244022","layer":3},{"info":"⇑⪆33223/⇑⪆220313=⇑⪆0","layer":3},{"info":"⇑⪆244022⪍↜⋙⇑⪆0=⇑⪆1043044","layer":2},{"info":"↣≠⋷⇑⪆1043044=NaN","layer":1},{"info":"⇑⪆-2420∇⊂⋱NaN=NaN","layer":0}]}
{"id":864,"expression_no_base_symbol":"((⋎⨆$6235$)⫚↹⊑$1652$⪬$2337$)↤⩊(($1022$↙$9199$)≌($4162$≄⊠$4906$))∥⊢⊲(($1437$⩖⊿$7817$≬⇓($2186$⫽⇹≛))⇪⋭)","expression":"((⋎⨆⇑⪆144420)⫚↹⊑⇑⪆23102⪬⇑⪆33322)↤⩊((⇑⪆13042↙⇑⪆243244)≌(⇑⪆113122≄⊠⇑⪆124111))∥⊢⊲((⇑⪆21222⩖⊿⇑⪆222232≬⇓(⇑⪆32221⫽⇹≛))⇪⋭)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":93558,"operation_count":12,"complexity_ratio":7796.5,"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":6235,"base":5}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1652,"base":5},"right_expr":{"type":"numeric_atoms","value":2337,"base":5}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1022,"base":5},"right_expr":{"type":"numeric_atoms","value":9199,"base":5}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":4162,"base":5},"right_expr":{"type":"numeric_atoms","value":4906,"base":5}}}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1437,"base":5},"right_expr":{"type":"numeric_atoms","value":7817,"base":5}},"right_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":2186,"base":5}}}}},"used_operators":["v1UQAVDJRr","13rbtpv6ld","dfKe02y8D2","E64sFOc4tB","Ez1Nq5fNfI","lyWz822IDG","yyfyN0ffXY","vXNesLlMH1","Z8Yg6dlDSp","jWTQ2TZYIH","RZ5CV9rWsJ","NNaDxxp6OQ"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","tmPS8pqC7x","DpFCA1CohY","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6235","layer":4},{"info":"compute unary expreesion, input=6235, 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=1652","layer":4},{"info":"number node, value=2337","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=2337, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=1022","layer":4},{"info":"number node, value=9199","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=9199, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-27597","layer":3},{"info":"number node, value=4162","layer":4},{"info":"number node, value=4906","layer":4},{"info":"compute binary expreesion, left_input=4162, right_input=4906, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=83164","layer":3},{"info":"compute binary expreesion, left_input=-27597, right_input=83164, 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=-447, 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=1437","layer":4},{"info":"number node, value=7817","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=7817, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=56706","layer":3},{"info":"number node, value=2186","layer":4},{"info":"compute unary expreesion, input=2186, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"compute binary expreesion, left_input=56706, right_input=272, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"((⋎⨆⇑⪆144420)⫚↹⊑⇑⪆23102⪬⇑⪆33322)↤⩊((⇑⪆13042↙⇑⪆243244)≌(⇑⪆113122≄⊠⇑⪆124111))∥⊢⊲((⇑⪆21222⩖⊿⇑⪆222232≬⇓(⇑⪆32221⫽⇹≛))⇪⋭)=⇑⪆0","reverse_text":"⇑⪆0=((⋎⨆⇑⪆144420)⫚↹⊑⇑⪆23102⪬⇑⪆33322)↤⩊((⇑⪆13042↙⇑⪆243244)≌(⇑⪆113122≄⊠⇑⪆124111))∥⊢⊲((⇑⪆21222⩖⊿⇑⪆222232≬⇓(⇑⪆32221⫽⇹≛))⇪⋭)","cot":[{"info":"⋎⨆⇑⪆144420=⇑⪆0","layer":3},{"info":"⇑⪆23102⪬⇑⪆33322=⇑⪆14414","layer":3},{"info":"⇑⪆0⫚↹⊑⇑⪆14414=⇑⪆-3242","layer":2},{"info":"⇑⪆13042↙⇑⪆243244=⇑⪆-1340342","layer":3},{"info":"⇑⪆113122≄⊠⇑⪆124111=⇑⪆10130124","layer":3},{"info":"⇑⪆-1340342≌⇑⪆10130124=NaN","layer":2},{"info":"⇑⪆-3242↤⩊NaN=NaN","layer":1},{"info":"⇑⪆21222⩖⊿⇑⪆222232=⇑⪆3303311","layer":3},{"info":"⇑⪆32221⫽⇹≛=⇑⪆2042","layer":3},{"info":"⇑⪆3303311≬⇓⇑⪆2042=⇑⪆-42","layer":2},{"info":"⇑⪆-42⇪⋭=⇑⪆0","layer":1},{"info":"NaN∥⊢⊲⇑⪆0=⇑⪆0","layer":0}]}
{"id":865,"expression_no_base_symbol":"(⫎≠⋺(($3168$⫸⇳$1053$)⪢($1434$*$1282$)))⨔≚≋(($2792$⪨≂$2088$)⨥⫆(⪡⇡≛$2124$)+(≻⋜($5049$≬⇓$2197$)))","expression":"(⫎≠⋺((⇑⪆100133⫸⇳⇑⪆13203)⪢(⇑⪆21214*⇑⪆20112)))⨔≚≋((⇑⪆42132⪨≂⇑⪆31323)⨥⫆(⪡⇡≛⇑⪆31444)+(≻⋜(⇑⪆130144≬⇓⇑⪆32242)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2425,"operation_count":11,"complexity_ratio":220.45454545454547,"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":3168,"base":5},"right_expr":{"type":"numeric_atoms","value":1053,"base":5}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1434,"base":5},"right_expr":{"type":"numeric_atoms","value":1282,"base":5}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2792,"base":5},"right_expr":{"type":"numeric_atoms","value":2088,"base":5}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":2124,"base":5}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":5049,"base":5},"right_expr":{"type":"numeric_atoms","value":2197,"base":5}}}}},"used_operators":["Z57zeUYC9z","LYeZOJ0nQG","dWAJyo7jo9","gx7XJ7hdpj","9HNa5Wba9A","W4YGzv6Whe","yXekIHxTD4","sdazOOVcIp","qL4PrbW1Dq","3tj9sqzovi","jWTQ2TZYIH"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","k8jYdgA6NY","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3168","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=3168, right_input=1053, 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=1434","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=1434, right_input=1282, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1838388","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1838388, 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 = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=nan","layer":1},{"info":"number node, value=2792","layer":4},{"info":"number node, value=2088","layer":4},{"info":"compute binary expreesion, left_input=2792, right_input=2088, 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=1510","layer":3},{"info":"number node, value=2124","layer":4},{"info":"compute unary expreesion, input=2124, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-2124","layer":3},{"info":"compute binary expreesion, left_input=1510, right_input=-2124, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"number node, value=5049","layer":4},{"info":"number node, value=2197","layer":4},{"info":"compute binary expreesion, left_input=5049, right_input=2197, 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 = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⫎≠⋺((⇑⪆100133⫸⇳⇑⪆13203)⪢(⇑⪆21214*⇑⪆20112)))⨔≚≋((⇑⪆42132⪨≂⇑⪆31323)⨥⫆(⪡⇡≛⇑⪆31444)+(≻⋜(⇑⪆130144≬⇓⇑⪆32242)))=NaN","reverse_text":"NaN=(⫎≠⋺((⇑⪆100133⫸⇳⇑⪆13203)⪢(⇑⪆21214*⇑⪆20112)))⨔≚≋((⇑⪆42132⪨≂⇑⪆31323)⨥⫆(⪡⇡≛⇑⪆31444)+(≻⋜(⇑⪆130144≬⇓⇑⪆32242)))","cot":[{"info":"⇑⪆100133⫸⇳⇑⪆13203=⇑⪆0","layer":3},{"info":"⇑⪆21214*⇑⪆20112=⇑⪆432312023","layer":3},{"info":"⇑⪆0⪢⇑⪆432312023=NaN","layer":2},{"info":"⫎≠⋺NaN=NaN","layer":1},{"info":"⇑⪆42132⪨≂⇑⪆31323=⇑⪆22020","layer":3},{"info":"⪡⇡≛⇑⪆31444=⇑⪆-31444","layer":3},{"info":"⇑⪆22020⨥⫆⇑⪆-31444=⇑⪆-1","layer":2},{"info":"⇑⪆130144≬⇓⇑⪆32242=⇑⪆-42","layer":3},{"info":"≻⋜⇑⪆-42=NaN","layer":2},{"info":"⇑⪆-1+NaN=NaN","layer":1},{"info":"NaN⨔≚≋NaN=NaN","layer":0}]}
{"id":866,"expression_no_base_symbol":"((($1145$⊢)⪛⫼$2828$⨑⩅≇$1258$)⪘⫢($1421$⊢)∇⊂⋱$2096$⨜⨶$1598$)⋕⪉⪜(($1735$⩒⫫$5925$)≌($2993$∠↢$2908$)≭($1108$⩺⪪$1605$)≝⊿(⨵≀≌$1299$))","expression":"(((⇑⪆14040⊢)⪛⫼⇑⪆42303⨑⩅≇⇑⪆20013)⪘⫢(⇑⪆21141⊢)∇⊂⋱⇑⪆31341⨜⨶⇑⪆22343)⋕⪉⪜((⇑⪆23420⩒⫫⇑⪆142200)≌(⇑⪆43433∠↢⇑⪆43113)≭(⇑⪆13413⩺⪪⇑⪆22410)≝⊿(⨵≀≌⇑⪆20144))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":55157,"operation_count":15,"complexity_ratio":3677.133333333333,"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":1145,"base":5}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2828,"base":5},"right_expr":{"type":"numeric_atoms","value":1258,"base":5}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":1421,"base":5}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2096,"base":5},"right_expr":{"type":"numeric_atoms","value":1598,"base":5}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1735,"base":5},"right_expr":{"type":"numeric_atoms","value":5925,"base":5}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2993,"base":5},"right_expr":{"type":"numeric_atoms","value":2908,"base":5}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1108,"base":5},"right_expr":{"type":"numeric_atoms","value":1605,"base":5}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1299,"base":5}}}}},"used_operators":["z6LnFrNh4i","oacrs7FA3X","hyuBjUqXlG","40aOVDgCDB","h92wMvzauj","nhYeJWJD5X","HiPekx5b7W","rxpJgHHUmx","lyWz822IDG","KFSx94NKJn","KbjG8mgYpV","OKKcZfAt5B","uvdQJvN4PV","srAu1WTS94"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","NTOWxs364D","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","AHs5Up7iyr","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","12rbrZMWeM","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⇑⪆1304","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1145","layer":4},{"info":"compute unary expreesion, input=1145, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-1392","layer":3},{"info":"number node, value=2828","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=2828, right_input=1258, 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=-8484","layer":3},{"info":"compute binary expreesion, left_input=-1392, right_input=-8484, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1633","layer":2},{"info":"number node, value=1421","layer":4},{"info":"compute unary expreesion, input=1421, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-1668","layer":3},{"info":"number node, value=2096","layer":4},{"info":"number node, value=1598","layer":4},{"info":"compute binary expreesion, left_input=2096, right_input=1598, 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=-2940","layer":3},{"info":"compute binary expreesion, left_input=-1668, right_input=-2940, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=5880","layer":2},{"info":"compute binary expreesion, left_input=-1633, right_input=5880, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"number node, value=1735","layer":4},{"info":"number node, value=5925","layer":4},{"info":"compute binary expreesion, left_input=1735, right_input=5925, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1433","layer":3},{"info":"number node, value=2993","layer":4},{"info":"number node, value=2908","layer":4},{"info":"compute binary expreesion, left_input=2993, right_input=2908, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-51602","layer":3},{"info":"compute binary expreesion, left_input=1433, right_input=-51602, 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=1108","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=1605, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=1299","layer":4},{"info":"compute unary expreesion, input=1299, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3897","layer":3},{"info":"compute binary expreesion, left_input=-1818, right_input=-3897, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=9079","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9079, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆14040⊢)⪛⫼⇑⪆42303⨑⩅≇⇑⪆20013)⪘⫢(⇑⪆21141⊢)∇⊂⋱⇑⪆31341⨜⨶⇑⪆22343)⋕⪉⪜((⇑⪆23420⩒⫫⇑⪆142200)≌(⇑⪆43433∠↢⇑⪆43113)≭(⇑⪆13413⩺⪪⇑⪆22410)≝⊿(⨵≀≌⇑⪆20144))=⇑⪆1304","reverse_text":"⇑⪆1304=(((⇑⪆14040⊢)⪛⫼⇑⪆42303⨑⩅≇⇑⪆20013)⪘⫢(⇑⪆21141⊢)∇⊂⋱⇑⪆31341⨜⨶⇑⪆22343)⋕⪉⪜((⇑⪆23420⩒⫫⇑⪆142200)≌(⇑⪆43433∠↢⇑⪆43113)≭(⇑⪆13413⩺⪪⇑⪆22410)≝⊿(⨵≀≌⇑⪆20144))","cot":[{"info":"⇑⪆14040⊢=⇑⪆-21032","layer":3},{"info":"⇑⪆42303⨑⩅≇⇑⪆20013=⇑⪆-232414","layer":3},{"info":"⇑⪆-21032⪛⫼⇑⪆-232414=⇑⪆-23013","layer":2},{"info":"⇑⪆21141⊢=⇑⪆-23133","layer":3},{"info":"⇑⪆31341⨜⨶⇑⪆22343=⇑⪆-43230","layer":3},{"info":"⇑⪆-23133∇⊂⋱⇑⪆-43230=⇑⪆142010","layer":2},{"info":"⇑⪆-23013⪘⫢⇑⪆142010=⇑⪆0","layer":1},{"info":"⇑⪆23420⩒⫫⇑⪆142200=⇑⪆21213","layer":3},{"info":"⇑⪆43433∠↢⇑⪆43113=⇑⪆-3122402","layer":3},{"info":"⇑⪆21213≌⇑⪆-3122402=NaN","layer":2},{"info":"⇑⪆13413⩺⪪⇑⪆22410=⇑⪆-24233","layer":3},{"info":"⨵≀≌⇑⪆20144=⇑⪆-111042","layer":3},{"info":"⇑⪆-24233≝⊿⇑⪆-111042=⇑⪆242304","layer":2},{"info":"NaN≭⇑⪆242304=NaN","layer":1},{"info":"⇑⪆0⋕⪉⪜NaN=⇑⪆1304","layer":0}]}
{"id":867,"expression_no_base_symbol":"(⨆≐≲((⩩$2216$)⇴($1995$⨎$3671$)))⋅⇍((⨩∲⋌(∮$2928$))⨑≵⋬(↴⪽⋼($1639$⫑)))","expression":"(⨆≐≲((⩩⇑⪆32331)⇴(⇑⪆30440⨎⇑⪆104141)))⋅⇍((⨩∲⋌(∮⇑⪆43203))⨑≵⋬(↴⪽⋼(⇑⪆23024⫑)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3686,"operation_count":10,"complexity_ratio":368.6,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2216,"base":5}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1995,"base":5},"right_expr":{"type":"numeric_atoms","value":3671,"base":5}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2928,"base":5}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":1639,"base":5}}}}},"used_operators":["AdZkA7nFnk","Bi9z9uYZqW","4JB6nKBMSY","kMhfGuqI2H","rJVOvQCfKK","XnXgA4xnOs","aSik1wnThz","CqXKPLVYql","5TUYCnJO6w","CgIo77xlM2"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","sdazOOVcIp","NTOWxs364D","COABgblf1C","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA"],"result":"⇑⪆20333400","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2216","layer":4},{"info":"compute unary expreesion, input=2216, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=1995","layer":4},{"info":"number node, value=3671","layer":4},{"info":"compute binary expreesion, left_input=1995, right_input=3671, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3671","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3671, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":1},{"info":"number node, value=2928","layer":4},{"info":"compute unary expreesion, input=2928, 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 = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=304","layer":2},{"info":"number node, value=1639","layer":4},{"info":"compute unary expreesion, input=1639, 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 unary expreesion, input=3979, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=304, right_input=3979, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-24954","layer":1},{"info":"compute binary expreesion, left_input=-168548, right_input=-24954, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=167975","layer":0}],"base":5,"result_base":5,"text":"(⨆≐≲((⩩⇑⪆32331)⇴(⇑⪆30440⨎⇑⪆104141)))⋅⇍((⨩∲⋌(∮⇑⪆43203))⨑≵⋬(↴⪽⋼(⇑⪆23024⫑)))=⇑⪆20333400","reverse_text":"⇑⪆20333400=(⨆≐≲((⩩⇑⪆32331)⇴(⇑⪆30440⨎⇑⪆104141)))⋅⇍((⨩∲⋌(∮⇑⪆43203))⨑≵⋬(↴⪽⋼(⇑⪆23024⫑)))","cot":[{"info":"⩩⇑⪆32331=NaN","layer":3},{"info":"⇑⪆30440⨎⇑⪆104141=⇑⪆104141","layer":3},{"info":"NaN⇴⇑⪆104141=NaN","layer":2},{"info":"⨆≐≲NaN=⇑⪆-20343143","layer":1},{"info":"∮⇑⪆43203=⇑⪆232","layer":3},{"info":"⨩∲⋌⇑⪆232=⇑⪆2204","layer":2},{"info":"⇑⪆23024⫑=⇑⪆111404","layer":3},{"info":"↴⪽⋼⇑⪆111404=⇑⪆111404","layer":2},{"info":"⇑⪆2204⨑≵⋬⇑⪆111404=⇑⪆-1244304","layer":1},{"info":"⇑⪆-20343143⋅⇍⇑⪆-1244304=⇑⪆20333400","layer":0}]}
{"id":868,"expression_no_base_symbol":"($4089$∘$5509$)↞⋁$1119$⪝$1756$⊱⇼⊻($1037$⪒⊣⊆$2401$↡⊰⫅$1208$⪛⫼$4328$)⪡((≤/$1468$)⇌⫙⪟$2028$⪟⇏$1550$⇴∐($1177$⊔$1672$⊹≧⊝))","expression":"(⇑⪆112324∘⇑⪆134014)↞⋁⇑⪆13434⪝⇑⪆24011⊱⇼⊻(⇑⪆13122⪒⊣⊆⇑⪆34101↡⊰⫅⇑⪆14313⪛⫼⇑⪆114303)⪡((≤/⇑⪆21333)⇌⫙⪟⇑⪆31103⪟⇏⇑⪆22200⇴∐(⇑⪆14202⊔⇑⪆23142⊹≧⊝))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14375,"operation_count":14,"complexity_ratio":1026.7857142857142,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":4089,"base":5},"right_expr":{"type":"numeric_atoms","value":5509,"base":5}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1119,"base":5},"right_expr":{"type":"numeric_atoms","value":1756,"base":5}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1037,"base":5},"right_expr":{"type":"numeric_atoms","value":2401,"base":5}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1208,"base":5},"right_expr":{"type":"numeric_atoms","value":4328,"base":5}}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1468,"base":5}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2028,"base":5},"right_expr":{"type":"numeric_atoms","value":1550,"base":5}}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1177,"base":5},"right_expr":{"type":"numeric_atoms","value":1672,"base":5}}}}},"used_operators":["oraRL2iQuh","FyVja0WsTP","RqrPlJkxDo","Z5m6OM72h2","wicAB68Tmb","VCtxkLNOzz","eRqsBgTDFp","hyuBjUqXlG","HnzytWxmAO","AFVx7xoS7T","eLAdDNolq6","GODebY97qR","LxFB4K6j0n","E4l6HwMY31"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eH2TOUuTDT","rysDP5nf3Z","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","sdazOOVcIp","W4YGzv6Whe","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4089","layer":4},{"info":"number node, value=5509","layer":4},{"info":"compute binary expreesion, left_input=4089, right_input=5509, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=8178","layer":3},{"info":"number node, value=1119","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=1756, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=8178, right_input=237, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"number node, value=1037","layer":4},{"info":"number node, value=2401","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=2401, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2074","layer":3},{"info":"number node, value=1208","layer":4},{"info":"number node, value=4328","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=4328, 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=2074, right_input=968, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=1936","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1936, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":1},{"info":"number node, value=1468","layer":4},{"info":"compute unary expreesion, input=1468, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-984","layer":3},{"info":"number node, value=2028","layer":4},{"info":"number node, value=1550","layer":4},{"info":"compute binary expreesion, left_input=2028, right_input=1550, 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=-984, right_input=-1, 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=1177","layer":4},{"info":"number node, value=1672","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=1672, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=8314","layer":3},{"info":"compute unary expreesion, input=8314, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-33256","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-33256, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-116, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆112324∘⇑⪆134014)↞⋁⇑⪆13434⪝⇑⪆24011⊱⇼⊻(⇑⪆13122⪒⊣⊆⇑⪆34101↡⊰⫅⇑⪆14313⪛⫼⇑⪆114303)⪡((≤/⇑⪆21333)⇌⫙⪟⇑⪆31103⪟⇏⇑⪆22200⇴∐(⇑⪆14202⊔⇑⪆23142⊹≧⊝))=NaN","reverse_text":"NaN=(⇑⪆112324∘⇑⪆134014)↞⋁⇑⪆13434⪝⇑⪆24011⊱⇼⊻(⇑⪆13122⪒⊣⊆⇑⪆34101↡⊰⫅⇑⪆14313⪛⫼⇑⪆114303)⪡((≤/⇑⪆21333)⇌⫙⪟⇑⪆31103⪟⇏⇑⪆22200⇴∐(⇑⪆14202⊔⇑⪆23142⊹≧⊝))","cot":[{"info":"⇑⪆112324∘⇑⪆134014=⇑⪆230203","layer":3},{"info":"⇑⪆13434⪝⇑⪆24011=⇑⪆1422","layer":3},{"info":"⇑⪆230203↞⋁⇑⪆1422=NaN","layer":2},{"info":"⇑⪆13122⪒⊣⊆⇑⪆34101=⇑⪆31244","layer":3},{"info":"⇑⪆14313⪛⫼⇑⪆114303=⇑⪆12333","layer":3},{"info":"⇑⪆31244↡⊰⫅⇑⪆12333=⇑⪆30221","layer":2},{"info":"NaN⊱⇼⊻⇑⪆30221=NaN","layer":1},{"info":"≤/⇑⪆21333=⇑⪆-12414","layer":3},{"info":"⇑⪆31103⪟⇏⇑⪆22200=⇑⪆-1","layer":3},{"info":"⇑⪆-12414⇌⫙⪟⇑⪆-1=⇑⪆423","layer":2},{"info":"⇑⪆14202⊔⇑⪆23142=⇑⪆231224","layer":3},{"info":"⇑⪆231224⊹≧⊝=⇑⪆-2031011","layer":2},{"info":"⇑⪆423⇴∐⇑⪆-2031011=⇑⪆-431","layer":1},{"info":"NaN⪡⇑⪆-431=NaN","layer":0}]}
{"id":869,"expression_no_base_symbol":"(↥(⫖→$2537$⩼⇪↪$1789$))∣(∤↝(⪸$7079$))⪔⊥(($2136$⋝⋈⪟$7540$)⇷($1736$∐⫣))","expression":"(↥(⫖→⇑⪆40122⩼⇪↪⇑⪆24124))∣(∤↝(⪸⇑⪆211304))⪔⊥((⇑⪆32021⋝⋈⪟⇑⪆220130)⇷(⇑⪆23421∐⫣))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":38416,"operation_count":10,"complexity_ratio":3841.6,"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":2537,"base":5},"right_expr":{"type":"numeric_atoms","value":1789,"base":5}}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":7079,"base":5}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2136,"base":5},"right_expr":{"type":"numeric_atoms","value":7540,"base":5}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":1736,"base":5}}}}},"used_operators":["PPChnnnBFF","A8NUZmVepG","U4ylXWHChL","ocnLzx9CaJ","HJ9erzHUuu","3UMq87Qwqg","86A5ENbKR9","mp7IySMOzn","2DDjHMKMc0","4CyGpkTkEk"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","k8jYdgA6NY","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg"],"result":"⇑⪆12213","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2537","layer":4},{"info":"number node, value=1789","layer":4},{"info":"compute binary expreesion, left_input=2537, right_input=1789, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-8232","layer":3},{"info":"compute unary expreesion, input=-8232, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=24","layer":1},{"info":"number node, value=7079","layer":4},{"info":"compute unary expreesion, input=7079, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-120134","layer":3},{"info":"compute unary expreesion, input=-120134, 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=-120134","layer":2},{"info":"number node, value=2136","layer":4},{"info":"number node, value=7540","layer":4},{"info":"compute binary expreesion, left_input=2136, right_input=7540, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2136","layer":3},{"info":"number node, value=1736","layer":4},{"info":"compute unary expreesion, input=1736, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute binary expreesion, left_input=2136, right_input=551, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=1102","layer":2},{"info":"compute binary expreesion, left_input=-120134, right_input=1102, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-482939","layer":1},{"info":"compute binary expreesion, left_input=24, right_input=-482939, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=933","layer":0}],"base":5,"result_base":5,"text":"(↥(⫖→⇑⪆40122⩼⇪↪⇑⪆24124))∣(∤↝(⪸⇑⪆211304))⪔⊥((⇑⪆32021⋝⋈⪟⇑⪆220130)⇷(⇑⪆23421∐⫣))=⇑⪆12213","reverse_text":"⇑⪆12213=(↥(⫖→⇑⪆40122⩼⇪↪⇑⪆24124))∣(∤↝(⪸⇑⪆211304))⪔⊥((⇑⪆32021⋝⋈⪟⇑⪆220130)⇷(⇑⪆23421∐⫣))","cot":[{"info":"⇑⪆40122⩼⇪↪⇑⪆24124=⇑⪆-230412","layer":3},{"info":"⫖→⇑⪆-230412=⇑⪆1202","layer":2},{"info":"↥⇑⪆1202=⇑⪆44","layer":1},{"info":"⪸⇑⪆211304=⇑⪆-12321014","layer":3},{"info":"∤↝⇑⪆-12321014=⇑⪆-12321014","layer":2},{"info":"⇑⪆32021⋝⋈⪟⇑⪆220130=⇑⪆32021","layer":3},{"info":"⇑⪆23421∐⫣=⇑⪆4201","layer":3},{"info":"⇑⪆32021⇷⇑⪆4201=⇑⪆13402","layer":2},{"info":"⇑⪆-12321014⪔⊥⇑⪆13402=⇑⪆-110423224","layer":1},{"info":"⇑⪆44∣⇑⪆-110423224=⇑⪆12213","layer":0}]}
{"id":870,"expression_no_base_symbol":"(⫡⇟⇯$6564$)⨸($4614$⪇≇⋚$1125$)⪶≀⋏($6710$≄⊠$4490$⊾⪯⋞$2912$⇴∐$3508$)∕⩚(↨⩢⫨($7936$∷$1854$))≄⊠((∂$1823$)↠)","expression":"(⫡⇟⇯⇑⪆202224)⨸(⇑⪆121424⪇≇⋚⇑⪆14000)⪶≀⋏(⇑⪆203320≄⊠⇑⪆120430⊾⪯⋞⇑⪆43122⇴∐⇑⪆103013)∕⩚(↨⩢⫨(⇑⪆223221∷⇑⪆24404))≄⊠((∂⇑⪆24243)↠)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14452,"operation_count":13,"complexity_ratio":1111.6923076923076,"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":6564,"base":5}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":4614,"base":5},"right_expr":{"type":"numeric_atoms","value":1125,"base":5}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":6710,"base":5},"right_expr":{"type":"numeric_atoms","value":4490,"base":5}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2912,"base":5},"right_expr":{"type":"numeric_atoms","value":3508,"base":5}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":7936,"base":5},"right_expr":{"type":"numeric_atoms","value":1854,"base":5}}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1823,"base":5}}}}},"used_operators":["z9ffQ9n5Zr","zR4jO40bMj","KmoU8R5UQR","qWUSsah53b","3sJ7IOPOlU","HK0tfVPux8","vXNesLlMH1","HnzytWxmAO","Z5CJsN7DuW","D3AQDKkPcf","LBdsKIvxzf","Uaa54Peajs"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","DZ8iAZOCBD","P8v4zCKN1o","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","9FxExcQeMw","NTOWxs364D","7j4O788W3g","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6564","layer":4},{"info":"compute unary expreesion, input=6564, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=13996","layer":3},{"info":"number node, value=4614","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=4614, right_input=1125, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=13996, right_input=0, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=27992","layer":2},{"info":"number node, value=6710","layer":4},{"info":"number node, value=4490","layer":4},{"info":"compute binary expreesion, left_input=6710, right_input=4490, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=76508","layer":3},{"info":"number node, value=2912","layer":4},{"info":"number node, value=3508","layer":4},{"info":"compute binary expreesion, left_input=2912, right_input=3508, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=76508, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=27992, 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=7936","layer":4},{"info":"number node, value=1854","layer":4},{"info":"compute binary expreesion, left_input=7936, right_input=1854, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1854","layer":3},{"info":"compute unary expreesion, input=1854, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"number node, value=1823","layer":4},{"info":"compute unary expreesion, input=1823, 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 = 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=0, right_input=-447, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1500, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⫡⇟⇯⇑⪆202224)⨸(⇑⪆121424⪇≇⋚⇑⪆14000)⪶≀⋏(⇑⪆203320≄⊠⇑⪆120430⊾⪯⋞⇑⪆43122⇴∐⇑⪆103013)∕⩚(↨⩢⫨(⇑⪆223221∷⇑⪆24404))≄⊠((∂⇑⪆24243)↠)=NaN","reverse_text":"NaN=(⫡⇟⇯⇑⪆202224)⨸(⇑⪆121424⪇≇⋚⇑⪆14000)⪶≀⋏(⇑⪆203320≄⊠⇑⪆120430⊾⪯⋞⇑⪆43122⇴∐⇑⪆103013)∕⩚(↨⩢⫨(⇑⪆223221∷⇑⪆24404))≄⊠((∂⇑⪆24243)↠)","cot":[{"info":"⫡⇟⇯⇑⪆202224=⇑⪆421441","layer":3},{"info":"⇑⪆121424⪇≇⋚⇑⪆14000=⇑⪆0","layer":3},{"info":"⇑⪆421441⨸⇑⪆0=⇑⪆1343432","layer":2},{"info":"⇑⪆203320≄⊠⇑⪆120430=⇑⪆4422013","layer":3},{"info":"⇑⪆43122⇴∐⇑⪆103013=NaN","layer":3},{"info":"⇑⪆4422013⊾⪯⋞NaN=NaN","layer":2},{"info":"⇑⪆1343432⪶≀⋏NaN=NaN","layer":1},{"info":"⇑⪆223221∷⇑⪆24404=⇑⪆24404","layer":3},{"info":"↨⩢⫨⇑⪆24404=⇑⪆0","layer":2},{"info":"∂⇑⪆24243=NaN","layer":3},{"info":"NaN↠=⇑⪆-3242","layer":2},{"info":"⇑⪆0≄⊠⇑⪆-3242=⇑⪆22000","layer":1},{"info":"NaN∕⩚⇑⪆22000=NaN","layer":0}]}
{"id":871,"expression_no_base_symbol":"(↓⇌$2217$)⊉↱≁$4346$⨸$3141$⋝⋈⪟($4969$⫘$4951$⪨⊡$4094$⋥⋵⩄$9190$)⫦⪉($2859$≧⫂∧$5320$⫌⩉⩟$5141$⫞⩸⩒$6468$)≳⇉($4028$→⨶⪴$3768$⪁$1761$∼$1478$)","expression":"(↓⇌⇑⪆32332)⊉↱≁⇑⪆114341⨸⇑⪆100031⋝⋈⪟(⇑⪆124334⫘⇑⪆124301⪨⊡⇑⪆112334⋥⋵⩄⇑⪆243230)⫦⪉(⇑⪆42414≧⫂∧⇑⪆132240⫌⩉⩟⇑⪆131031⫞⩸⩒⇑⪆201333)≳⇉(⇑⪆112103→⨶⪴⇑⪆110033⪁⇑⪆24021∼⇑⪆21403)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":53908,"operation_count":15,"complexity_ratio":3593.866666666667,"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":2217,"base":5}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":4346,"base":5},"right_expr":{"type":"numeric_atoms","value":3141,"base":5}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4969,"base":5},"right_expr":{"type":"numeric_atoms","value":4951,"base":5}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4094,"base":5},"right_expr":{"type":"numeric_atoms","value":9190,"base":5}}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2859,"base":5},"right_expr":{"type":"numeric_atoms","value":5320,"base":5}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":5141,"base":5},"right_expr":{"type":"numeric_atoms","value":6468,"base":5}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":4028,"base":5},"right_expr":{"type":"numeric_atoms","value":3768,"base":5}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1761,"base":5},"right_expr":{"type":"numeric_atoms","value":1478,"base":5}}}}},"used_operators":["wscyQdcy20","2DDjHMKMc0","w2P8NbNXyL","PxpmPgHHJV","KmoU8R5UQR","kuIXHzHcAH","48vC8HMD2b","7t3wd0Fuz7","V0kx6qeWkN","XIIwhv8d0m","Ph9nP6C5qx","XGcMNugi78","I7sXao9hZE","bF6eod5Gvf","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","8w2t5hMYqp","9FxExcQeMw","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⇑⪆4103110","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2217","layer":4},{"info":"compute unary expreesion, input=2217, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2217","layer":3},{"info":"number node, value=4346","layer":4},{"info":"number node, value=3141","layer":4},{"info":"compute binary expreesion, left_input=4346, right_input=3141, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=8692","layer":3},{"info":"compute binary expreesion, left_input=2217, right_input=8692, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-31096","layer":2},{"info":"number node, value=4969","layer":4},{"info":"number node, value=4951","layer":4},{"info":"compute binary expreesion, left_input=4969, right_input=4951, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5847949","layer":3},{"info":"number node, value=4094","layer":4},{"info":"number node, value=9190","layer":4},{"info":"compute binary expreesion, left_input=4094, right_input=9190, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=5847949, right_input=113, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-31096, right_input=160, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-31096","layer":1},{"info":"number node, value=2859","layer":4},{"info":"number node, value=5320","layer":4},{"info":"compute binary expreesion, left_input=2859, right_input=5320, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4847","layer":3},{"info":"number node, value=5141","layer":4},{"info":"number node, value=6468","layer":4},{"info":"compute binary expreesion, left_input=5141, right_input=6468, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=6468","layer":3},{"info":"compute binary expreesion, left_input=4847, right_input=6468, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=4028","layer":4},{"info":"number node, value=3768","layer":4},{"info":"compute binary expreesion, left_input=4028, right_input=3768, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-11304","layer":3},{"info":"number node, value=1761","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=1761, right_input=1478, 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=-11304, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-50, 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 binary expreesion, left_input=-31096, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=66030","layer":0}],"base":5,"result_base":5,"text":"(↓⇌⇑⪆32332)⊉↱≁⇑⪆114341⨸⇑⪆100031⋝⋈⪟(⇑⪆124334⫘⇑⪆124301⪨⊡⇑⪆112334⋥⋵⩄⇑⪆243230)⫦⪉(⇑⪆42414≧⫂∧⇑⪆132240⫌⩉⩟⇑⪆131031⫞⩸⩒⇑⪆201333)≳⇉(⇑⪆112103→⨶⪴⇑⪆110033⪁⇑⪆24021∼⇑⪆21403)=⇑⪆4103110","reverse_text":"⇑⪆4103110=(↓⇌⇑⪆32332)⊉↱≁⇑⪆114341⨸⇑⪆100031⋝⋈⪟(⇑⪆124334⫘⇑⪆124301⪨⊡⇑⪆112334⋥⋵⩄⇑⪆243230)⫦⪉(⇑⪆42414≧⫂∧⇑⪆132240⫌⩉⩟⇑⪆131031⫞⩸⩒⇑⪆201333)≳⇉(⇑⪆112103→⨶⪴⇑⪆110033⪁⇑⪆24021∼⇑⪆21403)","cot":[{"info":"↓⇌⇑⪆32332=⇑⪆32332","layer":3},{"info":"⇑⪆114341⨸⇑⪆100031=⇑⪆234232","layer":3},{"info":"⇑⪆32332⊉↱≁⇑⪆234232=⇑⪆-1443341","layer":2},{"info":"⇑⪆124334⫘⇑⪆124301=⇑⪆2444113244","layer":3},{"info":"⇑⪆112334⋥⋵⩄⇑⪆243230=⇑⪆423","layer":3},{"info":"⇑⪆2444113244⪨⊡⇑⪆423=⇑⪆1120","layer":2},{"info":"⇑⪆-1443341⋝⋈⪟⇑⪆1120=⇑⪆-1443341","layer":1},{"info":"⇑⪆42414≧⫂∧⇑⪆132240=⇑⪆123342","layer":3},{"info":"⇑⪆131031⫞⩸⩒⇑⪆201333=⇑⪆201333","layer":3},{"info":"⇑⪆123342⫌⩉⩟⇑⪆201333=⇑⪆-200","layer":2},{"info":"⇑⪆112103→⨶⪴⇑⪆110033=⇑⪆-330204","layer":3},{"info":"⇑⪆24021∼⇑⪆21403=NaN","layer":3},{"info":"⇑⪆-330204⪁NaN=NaN","layer":2},{"info":"⇑⪆-200≳⇉NaN=NaN","layer":1},{"info":"⇑⪆-1443341⫦⪉NaN=⇑⪆4103110","layer":0}]}
{"id":872,"expression_no_base_symbol":"((≸≮$1916$)⋘⨑⨽)⨑⩅≇(⫛⫱⨽($1340$≒∊$3130$))≧⫂∧(($2521$⫃⨇$2215$)⇴∐$7880$⇣⩺⋵$5532$)↓((≦∁$3200$)∇⊂⋱(⪡⇡≛$1749$))","expression":"((≸≮⇑⪆30131)⋘⨑⨽)⨑⩅≇(⫛⫱⨽(⇑⪆20330≒∊⇑⪆100010))≧⫂∧((⇑⪆40041⫃⨇⇑⪆32330)⇴∐⇑⪆223010⇣⩺⋵⇑⪆134112)↓((≦∁⇑⪆100300)∇⊂⋱(⪡⇡≛⇑⪆23444))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":161446,"operation_count":13,"complexity_ratio":12418.923076923076,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1916,"base":5}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1340,"base":5},"right_expr":{"type":"numeric_atoms","value":3130,"base":5}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2521,"base":5},"right_expr":{"type":"numeric_atoms","value":2215,"base":5}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":7880,"base":5},"right_expr":{"type":"numeric_atoms","value":5532,"base":5}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3200,"base":5}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1749,"base":5}}}}},"used_operators":["Ph9nP6C5qx","h92wMvzauj","WmT3o8z6ya","AljMvE3RRm","DlLNRPXxWL","5KTvxBwnZo","Af076pWI7l","HnzytWxmAO","09Ly4LVMIf","F4yD0voBRQ","nhYeJWJD5X","9ICcGScMcE","qL4PrbW1Dq"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","rGHVDoGpnC","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe"],"result":"⇑⪆-4412","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1916","layer":4},{"info":"compute unary expreesion, input=1916, 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 = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=nan","layer":2},{"info":"number node, value=1340","layer":4},{"info":"number node, value=3130","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=3130, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-856","layer":3},{"info":"compute unary expreesion, input=-856, 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 = 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=2521","layer":4},{"info":"number node, value=2215","layer":4},{"info":"compute binary expreesion, left_input=2521, right_input=2215, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-8892","layer":3},{"info":"number node, value=7880","layer":4},{"info":"number node, value=5532","layer":4},{"info":"compute binary expreesion, left_input=7880, right_input=5532, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-8892, right_input=-260, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"number node, value=3200","layer":4},{"info":"compute unary expreesion, input=3200, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3200","layer":3},{"info":"number node, value=1749","layer":4},{"info":"compute unary expreesion, input=1749, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1749","layer":3},{"info":"compute binary expreesion, left_input=3200, right_input=-1749, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=5854","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=5854, 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=935, right_input=-134, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-607","layer":0}],"base":5,"result_base":5,"text":"((≸≮⇑⪆30131)⋘⨑⨽)⨑⩅≇(⫛⫱⨽(⇑⪆20330≒∊⇑⪆100010))≧⫂∧((⇑⪆40041⫃⨇⇑⪆32330)⇴∐⇑⪆223010⇣⩺⋵⇑⪆134112)↓((≦∁⇑⪆100300)∇⊂⋱(⪡⇡≛⇑⪆23444))=⇑⪆-4412","reverse_text":"⇑⪆-4412=((≸≮⇑⪆30131)⋘⨑⨽)⨑⩅≇(⫛⫱⨽(⇑⪆20330≒∊⇑⪆100010))≧⫂∧((⇑⪆40041⫃⨇⇑⪆32330)⇴∐⇑⪆223010⇣⩺⋵⇑⪆134112)↓((≦∁⇑⪆100300)∇⊂⋱(⪡⇡≛⇑⪆23444))","cot":[{"info":"≸≮⇑⪆30131=NaN","layer":3},{"info":"NaN⋘⨑⨽=NaN","layer":2},{"info":"⇑⪆20330≒∊⇑⪆100010=⇑⪆-11411","layer":3},{"info":"⫛⫱⨽⇑⪆-11411=⇑⪆0","layer":2},{"info":"NaN⨑⩅≇⇑⪆0=⇑⪆12220","layer":1},{"info":"⇑⪆40041⫃⨇⇑⪆32330=⇑⪆-241032","layer":3},{"info":"⇑⪆223010⇣⩺⋵⇑⪆134112=⇑⪆-2020","layer":3},{"info":"⇑⪆-241032⇴∐⇑⪆-2020=⇑⪆-431","layer":2},{"info":"≦∁⇑⪆100300=⇑⪆100300","layer":3},{"info":"⪡⇡≛⇑⪆23444=⇑⪆-23444","layer":3},{"info":"⇑⪆100300∇⊂⋱⇑⪆-23444=⇑⪆141404","layer":2},{"info":"⇑⪆-431↓⇑⪆141404=⇑⪆-1014","layer":1},{"info":"⇑⪆12220≧⫂∧⇑⪆-1014=⇑⪆-4412","layer":0}]}
{"id":873,"expression_no_base_symbol":"(($3340$↦)⨽∌($1626$⫡⨏$1212$)⪭≯($2922$⨭⪣$1525$)⪟⇏(⨈⪑$1483$))↹⊜(($1023$⋆⋳)⪛($2446$⨓$4259$)⫍⨯↯)","expression":"((⇑⪆101330↦)⨽∌(⇑⪆23001⫡⨏⇑⪆14322)⪭≯(⇑⪆43142⨭⪣⇑⪆22100)⪟⇏(⨈⪑⇑⪆21413))↹⊜((⇑⪆13043⋆⋳)⪛(⇑⪆34241⨓⇑⪆114014)⫍⨯↯)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":228678,"operation_count":12,"complexity_ratio":19056.5,"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":3340,"base":5}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1626,"base":5},"right_expr":{"type":"numeric_atoms","value":1212,"base":5}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2922,"base":5},"right_expr":{"type":"numeric_atoms","value":1525,"base":5}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1483,"base":5}}}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1023,"base":5}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2446,"base":5},"right_expr":{"type":"numeric_atoms","value":4259,"base":5}}}}},"used_operators":["9bazX3JMtO","XAx5wpdLa6","9samAPKr6k","fFznvYxMfW","QMFrweE19q","GODebY97qR","kn8WO9XteQ","mp94q5OcYM","ZcwmYACASQ","uFcxV4UQCh","6MpZysEj17","3ViojmjbAp"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3340","layer":4},{"info":"compute unary expreesion, input=3340, 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=1626","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=1626, right_input=1212, 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=11337","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11337, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=2922","layer":4},{"info":"number node, value=1525","layer":4},{"info":"compute binary expreesion, left_input=2922, right_input=1525, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1643","layer":3},{"info":"number node, value=1483","layer":4},{"info":"compute unary expreesion, input=1483, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=1643, right_input=868, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=1023","layer":4},{"info":"compute unary expreesion, input=1023, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-2078","layer":3},{"info":"number node, value=2446","layer":4},{"info":"number node, value=4259","layer":4},{"info":"compute binary expreesion, left_input=2446, right_input=4259, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4262","layer":3},{"info":"compute binary expreesion, left_input=-2078, right_input=-4262, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-2078","layer":2},{"info":"compute unary expreesion, input=-2078, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆101330↦)⨽∌(⇑⪆23001⫡⨏⇑⪆14322)⪭≯(⇑⪆43142⨭⪣⇑⪆22100)⪟⇏(⨈⪑⇑⪆21413))↹⊜((⇑⪆13043⋆⋳)⪛(⇑⪆34241⨓⇑⪆114014)⫍⨯↯)=NaN","reverse_text":"NaN=((⇑⪆101330↦)⨽∌(⇑⪆23001⫡⨏⇑⪆14322)⪭≯(⇑⪆43142⨭⪣⇑⪆22100)⪟⇏(⨈⪑⇑⪆21413))↹⊜((⇑⪆13043⋆⋳)⪛(⇑⪆34241⨓⇑⪆114014)⫍⨯↯)","cot":[{"info":"⇑⪆101330↦=NaN","layer":3},{"info":"⇑⪆23001⫡⨏⇑⪆14322=⇑⪆330322","layer":3},{"info":"NaN⨽∌⇑⪆330322=⇑⪆0","layer":2},{"info":"⇑⪆43142⨭⪣⇑⪆22100=⇑⪆23033","layer":3},{"info":"⨈⪑⇑⪆21413=⇑⪆11433","layer":3},{"info":"⇑⪆23033⪟⇏⇑⪆11433=⇑⪆-1","layer":2},{"info":"⇑⪆0⪭≯⇑⪆-1=NaN","layer":1},{"info":"⇑⪆13043⋆⋳=⇑⪆-31303","layer":3},{"info":"⇑⪆34241⨓⇑⪆114014=⇑⪆-114022","layer":3},{"info":"⇑⪆-31303⪛⇑⪆-114022=⇑⪆-31303","layer":2},{"info":"⇑⪆-31303⫍⨯↯=⇑⪆-1014","layer":1},{"info":"NaN↹⊜⇑⪆-1014=NaN","layer":0}]}
{"id":874,"expression_no_base_symbol":"⊀((≛$7225$)⊝⪿⪼($4758$↸$1011$))⨼⩣($1080$⇡⇂$1675$⊝⪿⪼($1361$≎⊠⪸$3679$))","expression":"⊀((≛⇑⪆212400)⊝⪿⪼(⇑⪆123013↸⇑⪆13021))⨼⩣(⇑⪆13310⇡⇂⇑⪆23200⊝⪿⪼(⇑⪆20421≎⊠⪸⇑⪆104204))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10389,"operation_count":8,"complexity_ratio":1298.625,"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":7225,"base":5}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":4758,"base":5},"right_expr":{"type":"numeric_atoms","value":1011,"base":5}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1080,"base":5},"right_expr":{"type":"numeric_atoms","value":1675,"base":5}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1361,"base":5},"right_expr":{"type":"numeric_atoms","value":3679,"base":5}}}}},"used_operators":["oPMjh9089D","JxwMv5le6e","3Oe9XWJUTD","W7eaUhjymW","1eCjFl0mb9","UMwdvZNt44","bJkvcejdHO"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7225","layer":4},{"info":"compute unary expreesion, input=7225, 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=4758","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=4758, right_input=1011, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=4758","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=4758, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=9782","layer":2},{"info":"number node, value=1080","layer":4},{"info":"number node, value=1675","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=1675, 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=1361","layer":4},{"info":"number node, value=3679","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=3679, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=352026","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=352026, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9782, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(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":5,"result_base":5,"text":"⊀((≛⇑⪆212400)⊝⪿⪼(⇑⪆123013↸⇑⪆13021))⨼⩣(⇑⪆13310⇡⇂⇑⪆23200⊝⪿⪼(⇑⪆20421≎⊠⪸⇑⪆104204))=NaN","reverse_text":"NaN=⊀((≛⇑⪆212400)⊝⪿⪼(⇑⪆123013↸⇑⪆13021))⨼⩣(⇑⪆13310⇡⇂⇑⪆23200⊝⪿⪼(⇑⪆20421≎⊠⪸⇑⪆104204))","cot":[{"info":"≛⇑⪆212400=⇑⪆-20","layer":3},{"info":"⇑⪆123013↸⇑⪆13021=⇑⪆123013","layer":3},{"info":"⇑⪆-20⊝⪿⪼⇑⪆123013=⇑⪆303112","layer":2},{"info":"⇑⪆13310⇡⇂⇑⪆23200=NaN","layer":3},{"info":"⇑⪆20421≎⊠⪸⇑⪆104204=⇑⪆42231101","layer":3},{"info":"NaN⊝⪿⪼⇑⪆42231101=NaN","layer":2},{"info":"⇑⪆303112⨼⩣NaN=NaN","layer":1},{"info":"⊀NaN=NaN","layer":0}]}
{"id":875,"expression_no_base_symbol":"↥($1055$⇻⋧≁$1640$≧⫂∧($1001$≭$2303$))⊢$3600$∴$1148$⨼⩣($1372$⫿)","expression":"↥(⇑⪆13210⇻⋧≁⇑⪆23030≧⫂∧(⇑⪆13001≭⇑⪆33203))⊢⇑⪆103400∴⇑⪆14043⨼⩣(⇑⪆20442⫿)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1515,"operation_count":8,"complexity_ratio":189.375,"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":1055,"base":5},"right_expr":{"type":"numeric_atoms","value":1640,"base":5}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1001,"base":5},"right_expr":{"type":"numeric_atoms","value":2303,"base":5}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3600,"base":5},"right_expr":{"type":"numeric_atoms","value":1148,"base":5}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":1372,"base":5}}}}},"used_operators":["A8NUZmVepG","5twsqlHp2o","Ph9nP6C5qx","jCPkEVoL5K","rxpJgHHUmx","JxwMv5le6e","hrf7POJlIJ","9tKT6PmtkH"],"dependent_operators":["k8jYdgA6NY","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","AHs5Up7iyr","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=1055","layer":4},{"info":"number node, value=1640","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=1640, 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=1001","layer":4},{"info":"number node, value=2303","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=2303, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=3600","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=3600, right_input=1148, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=8848","layer":3},{"info":"number node, value=1372","layer":4},{"info":"compute unary expreesion, input=1372, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=1372","layer":3},{"info":"compute binary expreesion, left_input=8848, right_input=1372, 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 = 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"↥(⇑⪆13210⇻⋧≁⇑⪆23030≧⫂∧(⇑⪆13001≭⇑⪆33203))⊢⇑⪆103400∴⇑⪆14043⨼⩣(⇑⪆20442⫿)=NaN","reverse_text":"NaN=↥(⇑⪆13210⇻⋧≁⇑⪆23030≧⫂∧(⇑⪆13001≭⇑⪆33203))⊢⇑⪆103400∴⇑⪆14043⨼⩣(⇑⪆20442⫿)","cot":[{"info":"⇑⪆13210⇻⋧≁⇑⪆23030=⇑⪆-3242","layer":3},{"info":"⇑⪆13001≭⇑⪆33203=NaN","layer":3},{"info":"⇑⪆-3242≧⫂∧NaN=NaN","layer":2},{"info":"⇑⪆103400∴⇑⪆14043=⇑⪆240343","layer":3},{"info":"⇑⪆20442⫿=⇑⪆20442","layer":3},{"info":"⇑⪆240343⨼⩣⇑⪆20442=NaN","layer":2},{"info":"NaN⊢NaN=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":876,"expression_no_base_symbol":"≻⋜((($1070$↡⊰⫅$1990$)↡⊰⫅$1052$⨟⋌⩍$2572$)⇄($1002$⋷$2108$)⪢(⨡↴$1955$))","expression":"≻⋜(((⇑⪆13240↡⊰⫅⇑⪆30430)↡⊰⫅⇑⪆13202⨟⋌⩍⇑⪆40242)⇄(⇑⪆13002⋷⇑⪆31413)⪢(⨡↴⇑⪆30310))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":34579,"operation_count":8,"complexity_ratio":4322.375,"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":1070,"base":5},"right_expr":{"type":"numeric_atoms","value":1990,"base":5}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1052,"base":5},"right_expr":{"type":"numeric_atoms","value":2572,"base":5}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1002,"base":5},"right_expr":{"type":"numeric_atoms","value":2108,"base":5}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1955,"base":5}}}}},"used_operators":["3tj9sqzovi","3EYGwJThht","VCtxkLNOzz","rGHVDoGpnC","dWAJyo7jo9","23Mk6UjR3U","liw5iZPkLH"],"dependent_operators":["XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","Tcnh7f0tEr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","P8v4zCKN1o"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1070","layer":4},{"info":"number node, value=1990","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=1990, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3980","layer":3},{"info":"number node, value=1052","layer":4},{"info":"number node, value=2572","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=2572, 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=3980, 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=1002","layer":4},{"info":"number node, value=2108","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=2108, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3214","layer":3},{"info":"number node, value=1955","layer":4},{"info":"compute unary expreesion, input=1955, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=3004","layer":3},{"info":"compute binary expreesion, left_input=3214, right_input=3004, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"≻⋜(((⇑⪆13240↡⊰⫅⇑⪆30430)↡⊰⫅⇑⪆13202⨟⋌⩍⇑⪆40242)⇄(⇑⪆13002⋷⇑⪆31413)⪢(⨡↴⇑⪆30310))=NaN","reverse_text":"NaN=≻⋜(((⇑⪆13240↡⊰⫅⇑⪆30430)↡⊰⫅⇑⪆13202⨟⋌⩍⇑⪆40242)⇄(⇑⪆13002⋷⇑⪆31413)⪢(⨡↴⇑⪆30310))","cot":[{"info":"⇑⪆13240↡⊰⫅⇑⪆30430=⇑⪆111410","layer":3},{"info":"⇑⪆13202⨟⋌⩍⇑⪆40242=NaN","layer":3},{"info":"⇑⪆111410↡⊰⫅NaN=NaN","layer":2},{"info":"⇑⪆13002⋷⇑⪆31413=⇑⪆100324","layer":3},{"info":"⨡↴⇑⪆30310=⇑⪆44004","layer":3},{"info":"⇑⪆100324⪢⇑⪆44004=NaN","layer":2},{"info":"NaN⇄NaN=NaN","layer":1},{"info":"≻⋜NaN=NaN","layer":0}]}
{"id":877,"expression_no_base_symbol":"((⇐$5896$)⨐($6087$↼⊘⨖$4415$)⨲∙)⨰((∓$1614$)∊∟⩊(↔$5353$))⫁(($3219$⫸⊐$1979$)⨜⨶($4344$⊋$4006$))","expression":"((⇐⇑⪆142041)⨐(⇑⪆143322↼⊘⨖⇑⪆120130)⨲∙)⨰((∓⇑⪆22424)∊∟⩊(↔⇑⪆132403))⫁((⇑⪆100334⫸⊐⇑⪆30404)⨜⨶(⇑⪆114334⊋⇑⪆112011))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":71060935,"operation_count":12,"complexity_ratio":5921744.583333333,"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":5896,"base":5}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":6087,"base":5},"right_expr":{"type":"numeric_atoms","value":4415,"base":5}}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":1614,"base":5}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5353,"base":5}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3219,"base":5},"right_expr":{"type":"numeric_atoms","value":1979,"base":5}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":4344,"base":5},"right_expr":{"type":"numeric_atoms","value":4006,"base":5}}}}},"used_operators":["eewbuw0ToL","cRahaglYVE","Noe24qw2ks","nmZMaaE0Q9","bPywburJMS","0ajvFaJAv0","ddLRYrp01A","OwUj7dcsQK","ruOEQAzv1W","HiPekx5b7W","mqXw5SEYmG","W4tP9CfskL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5896","layer":4},{"info":"compute unary expreesion, input=5896, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=886","layer":3},{"info":"number node, value=6087","layer":4},{"info":"number node, value=4415","layer":4},{"info":"compute binary expreesion, left_input=6087, right_input=4415, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=8608","layer":3},{"info":"compute binary expreesion, left_input=886, right_input=8608, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-1772","layer":2},{"info":"compute unary expreesion, input=-1772, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":1},{"info":"number node, value=1614","layer":4},{"info":"compute unary expreesion, input=1614, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-29082","layer":3},{"info":"number node, value=5353","layer":4},{"info":"compute unary expreesion, input=5353, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5080","layer":3},{"info":"compute binary expreesion, left_input=-29082, right_input=-5080, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-5080","layer":2},{"info":"number node, value=3219","layer":4},{"info":"number node, value=1979","layer":4},{"info":"compute binary expreesion, left_input=3219, right_input=1979, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7791","layer":3},{"info":"number node, value=4344","layer":4},{"info":"number node, value=4006","layer":4},{"info":"compute binary expreesion, left_input=4344, right_input=4006, 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=11839308","layer":3},{"info":"compute binary expreesion, left_input=7791, right_input=11839308, 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=-23678360","layer":2},{"info":"compute binary expreesion, left_input=-5080, right_input=-23678360, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇐⇑⪆142041)⨐(⇑⪆143322↼⊘⨖⇑⪆120130)⨲∙)⨰((∓⇑⪆22424)∊∟⩊(↔⇑⪆132403))⫁((⇑⪆100334⫸⊐⇑⪆30404)⨜⨶(⇑⪆114334⊋⇑⪆112011))=NaN","reverse_text":"NaN=((⇐⇑⪆142041)⨐(⇑⪆143322↼⊘⨖⇑⪆120130)⨲∙)⨰((∓⇑⪆22424)∊∟⩊(↔⇑⪆132403))⫁((⇑⪆100334⫸⊐⇑⪆30404)⨜⨶(⇑⪆114334⊋⇑⪆112011))","cot":[{"info":"⇐⇑⪆142041=⇑⪆12021","layer":3},{"info":"⇑⪆143322↼⊘⨖⇑⪆120130=⇑⪆233413","layer":3},{"info":"⇑⪆12021⨐⇑⪆233413=⇑⪆-24042","layer":2},{"info":"⇑⪆-24042⨲∙=NaN","layer":1},{"info":"∓⇑⪆22424=⇑⪆-1412312","layer":3},{"info":"↔⇑⪆132403=⇑⪆-130310","layer":3},{"info":"⇑⪆-1412312∊∟⩊⇑⪆-130310=⇑⪆-130310","layer":2},{"info":"⇑⪆100334⫸⊐⇑⪆30404=⇑⪆222131","layer":3},{"info":"⇑⪆114334⊋⇑⪆112011=⇑⪆11012324213","layer":3},{"info":"⇑⪆222131⨜⨶⇑⪆11012324213=⇑⪆-22030201420","layer":2},{"info":"⇑⪆-130310⫁⇑⪆-22030201420=⇑⪆1120","layer":1},{"info":"NaN⨰⇑⪆1120=NaN","layer":0}]}
{"id":878,"expression_no_base_symbol":"(⇖⫷⫕($4829$⪨≂$2672$))∺≝⩲($3089$∪⫐$2108$)⪬($2274$⨭⪣$3341$)∌↝((⊑(↨$1577$))≠≀(-$1319$↓$1112$))","expression":"(⇖⫷⫕(⇑⪆123304⪨≂⇑⪆41142))∺≝⩲(⇑⪆44324∪⫐⇑⪆31413)⪬(⇑⪆33044⨭⪣⇑⪆101331)∌↝((⊑(↨⇑⪆22302))≠≀(-⇑⪆20234↓⇑⪆13422))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17873,"operation_count":12,"complexity_ratio":1489.4166666666667,"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":4829,"base":5},"right_expr":{"type":"numeric_atoms","value":2672,"base":5}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3089,"base":5},"right_expr":{"type":"numeric_atoms","value":2108,"base":5}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2274,"base":5},"right_expr":{"type":"numeric_atoms","value":3341,"base":5}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1577,"base":5}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1319,"base":5},"right_expr":{"type":"numeric_atoms","value":1112,"base":5}}}}},"used_operators":["9Isq31Ruls","KPf6cnQVty","UHmRx3INFg","sdazOOVcIp","Ez1Nq5fNfI","7YooWSwCyH","kn8WO9XteQ","IwW236VD4Y","IkUmn0D7oy","jiX4gk2v2Q","t8gj7n24qd","Af076pWI7l"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","rysDP5nf3Z","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rJVOvQCfKK","2DDjHMKMc0","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","rGHVDoGpnC","oZj3VtZNQx","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"⇑⪆20331","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4829","layer":4},{"info":"number node, value=2672","layer":4},{"info":"compute binary expreesion, left_input=4829, right_input=2672, 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=4416","layer":3},{"info":"compute unary expreesion, input=4416, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"number node, value=3089","layer":4},{"info":"number node, value=2108","layer":4},{"info":"compute binary expreesion, left_input=3089, right_input=2108, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3089","layer":3},{"info":"number node, value=2274","layer":4},{"info":"number node, value=3341","layer":4},{"info":"compute binary expreesion, left_input=2274, right_input=3341, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=995","layer":3},{"info":"compute binary expreesion, left_input=3089, right_input=995, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=1234, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=1577","layer":4},{"info":"compute unary expreesion, input=1577, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"number node, value=1319","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=1112, 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 = t8gj7n24qd, unary_op_definition = 'None', output=134","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=134, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-447, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=1341","layer":0}],"base":5,"result_base":5,"text":"(⇖⫷⫕(⇑⪆123304⪨≂⇑⪆41142))∺≝⩲(⇑⪆44324∪⫐⇑⪆31413)⪬(⇑⪆33044⨭⪣⇑⪆101331)∌↝((⊑(↨⇑⪆22302))≠≀(-⇑⪆20234↓⇑⪆13422))=⇑⪆20331","reverse_text":"⇑⪆20331=(⇖⫷⫕(⇑⪆123304⪨≂⇑⪆41142))∺≝⩲(⇑⪆44324∪⫐⇑⪆31413)⪬(⇑⪆33044⨭⪣⇑⪆101331)∌↝((⊑(↨⇑⪆22302))≠≀(-⇑⪆20234↓⇑⪆13422))","cot":[{"info":"⇑⪆123304⪨≂⇑⪆41142=⇑⪆120131","layer":3},{"info":"⇖⫷⫕⇑⪆120131=⇑⪆42242","layer":2},{"info":"⇑⪆44324∪⫐⇑⪆31413=⇑⪆44324","layer":3},{"info":"⇑⪆33044⨭⪣⇑⪆101331=⇑⪆12440","layer":3},{"info":"⇑⪆44324⪬⇑⪆12440=⇑⪆14414","layer":2},{"info":"⇑⪆42242∺≝⩲⇑⪆14414=⇑⪆1120","layer":1},{"info":"↨⇑⪆22302=NaN","layer":3},{"info":"⊑NaN=⇑⪆1232","layer":2},{"info":"⇑⪆20234↓⇑⪆13422=⇑⪆-1014","layer":3},{"info":"-⇑⪆-1014=⇑⪆1014","layer":2},{"info":"⇑⪆1232≠≀⇑⪆1014=⇑⪆-3242","layer":1},{"info":"⇑⪆1120∌↝⇑⪆-3242=⇑⪆20331","layer":0}]}
{"id":879,"expression_no_base_symbol":"((↡$2530$)≭(⋃$1482$)≥⨤⩑(⇋⊎⋝($3367$⨫⇇↔$5900$)))⫑","expression":"((↡⇑⪆40110)≭(⋃⇑⪆21412)≥⨤⩑(⇋⊎⋝(⇑⪆101432⨫⇇↔⇑⪆142100)))⫑","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":717,"operation_count":7,"complexity_ratio":102.42857142857143,"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":2530,"base":5}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1482,"base":5}}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3367,"base":5},"right_expr":{"type":"numeric_atoms","value":5900,"base":5}}}}},"used_operators":["CgIo77xlM2","gJLn6v0xnP","rxpJgHHUmx","MXaNJeIAZ3","3mBM5G4a3l","CzM2PEoXns","LXhwmt4mBO"],"dependent_operators":["cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","AHs5Up7iyr","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","g55IO6H4Gj","dWAJyo7jo9","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"⇑⪆111404","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2530","layer":4},{"info":"compute unary expreesion, input=2530, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=22770","layer":3},{"info":"number node, value=1482","layer":4},{"info":"compute unary expreesion, input=1482, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=3066","layer":3},{"info":"compute binary expreesion, left_input=22770, right_input=3066, 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=3367","layer":4},{"info":"number node, value=5900","layer":4},{"info":"compute binary expreesion, left_input=3367, right_input=5900, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, 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 = 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 = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":0}],"base":5,"result_base":5,"text":"((↡⇑⪆40110)≭(⋃⇑⪆21412)≥⨤⩑(⇋⊎⋝(⇑⪆101432⨫⇇↔⇑⪆142100)))⫑=⇑⪆111404","reverse_text":"⇑⪆111404=((↡⇑⪆40110)≭(⋃⇑⪆21412)≥⨤⩑(⇋⊎⋝(⇑⪆101432⨫⇇↔⇑⪆142100)))⫑","cot":[{"info":"↡⇑⪆40110=⇑⪆1212040","layer":3},{"info":"⋃⇑⪆21412=⇑⪆44231","layer":3},{"info":"⇑⪆1212040≭⇑⪆44231=NaN","layer":2},{"info":"⇑⪆101432⨫⇇↔⇑⪆142100=⇑⪆-4102","layer":3},{"info":"⇋⊎⋝⇑⪆-4102=NaN","layer":2},{"info":"NaN≥⨤⩑NaN=⇑⪆14414","layer":1},{"info":"⇑⪆14414⫑=⇑⪆111404","layer":0}]}
{"id":880,"expression_no_base_symbol":"(⋠∜($6691$⫡⨏$2858$))+⪬∐($6964$⪍↜⋙$3391$)⊮⊟↴($1329$↺$1323$)⩏","expression":"(⋠∜(⇑⪆203231⫡⨏⇑⪆42413))+⪬∐(⇑⪆210324⪍↜⋙⇑⪆102031)⊮⊟↴(⇑⪆20304↺⇑⪆20243)⩏","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":325,"operation_count":7,"complexity_ratio":46.42857142857143,"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":6691,"base":5},"right_expr":{"type":"numeric_atoms","value":2858,"base":5}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":6964,"base":5},"right_expr":{"type":"numeric_atoms","value":3391,"base":5}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1329,"base":5},"right_expr":{"type":"numeric_atoms","value":1323,"base":5}}}}},"used_operators":["iA2gmKZ3Wj","2GS7woTJqF","ZJpFhNJr3x","QMFrweE19q","QDVgd2eftb","L05ObWFQCd","7j4O788W3g"],"dependent_operators":["z6LnFrNh4i","Tcnh7f0tEr","g55IO6H4Gj","D4vGDi5EA2","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6691","layer":4},{"info":"number node, value=2858","layer":4},{"info":"compute binary expreesion, left_input=6691, right_input=2858, 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=39954","layer":3},{"info":"compute unary expreesion, input=39954, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=162100","layer":2},{"info":"number node, value=6964","layer":4},{"info":"number node, value=3391","layer":4},{"info":"compute binary expreesion, left_input=6964, right_input=3391, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=7146","layer":3},{"info":"number node, value=1329","layer":4},{"info":"number node, value=1323","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=1323, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1323","layer":3},{"info":"compute binary expreesion, left_input=7146, right_input=1323, 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=162100, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-486300","layer":1},{"info":"compute unary expreesion, input=-486300, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":0}],"base":5,"result_base":5,"text":"(⋠∜(⇑⪆203231⫡⨏⇑⪆42413))+⪬∐(⇑⪆210324⪍↜⋙⇑⪆102031)⊮⊟↴(⇑⪆20304↺⇑⪆20243)⩏=⇑⪆0","reverse_text":"⇑⪆0=(⋠∜(⇑⪆203231⫡⨏⇑⪆42413))+⪬∐(⇑⪆210324⪍↜⋙⇑⪆102031)⊮⊟↴(⇑⪆20304↺⇑⪆20243)⩏","cot":[{"info":"⇑⪆203231⫡⨏⇑⪆42413=⇑⪆2234304","layer":3},{"info":"⋠∜⇑⪆2234304=⇑⪆20141400","layer":2},{"info":"⇑⪆210324⪍↜⋙⇑⪆102031=⇑⪆212041","layer":3},{"info":"⇑⪆20304↺⇑⪆20243=⇑⪆20243","layer":3},{"info":"⇑⪆212041⊮⊟↴⇑⪆20243=⇑⪆0","layer":2},{"info":"⇑⪆20141400+⪬∐⇑⪆0=⇑⪆-111030200","layer":1},{"info":"⇑⪆-111030200⩏=⇑⪆0","layer":0}]}
{"id":881,"expression_no_base_symbol":"(⊖∈(⋃$1453$))∌(⊄⩳↩$7636$)∺≝⩲($4530$⩁⩘$1565$)⪕(⨦⪝($5906$≎⪠$1724$⊘))","expression":"(⊖∈(⋃⇑⪆21303))∌(⊄⩳↩⇑⪆221021)∺≝⩲(⇑⪆121110⩁⩘⇑⪆22230)⪕(⨦⪝(⇑⪆142111≎⪠⇑⪆23344⊘))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19257,"operation_count":10,"complexity_ratio":1925.7,"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":1453,"base":5}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":7636,"base":5}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4530,"base":5},"right_expr":{"type":"numeric_atoms","value":1565,"base":5}}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":5906,"base":5},"right_expr":{"type":"numeric_atoms","value":1724,"base":5}}}}},"used_operators":["umQnsF7QlU","8cLx32lpNA","YFxL8Sc2Zy","3mBM5G4a3l","KPf6cnQVty","8w2t5hMYqp","gub5Cegaqo","SUjycxNXIR","gu96TGCTMs","aNhz54LH3e"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","g55IO6H4Gj","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"⇑⪆12220","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1453","layer":4},{"info":"compute unary expreesion, input=1453, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=3008","layer":3},{"info":"compute unary expreesion, input=3008, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=54566","layer":2},{"info":"number node, value=7636","layer":4},{"info":"compute unary expreesion, input=7636, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-22908","layer":3},{"info":"number node, value=4530","layer":4},{"info":"number node, value=1565","layer":4},{"info":"compute binary expreesion, left_input=4530, right_input=1565, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=7208","layer":3},{"info":"compute binary expreesion, left_input=-22908, right_input=7208, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=54566, right_input=160, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-160","layer":1},{"info":"number node, value=5906","layer":4},{"info":"number node, value=1724","layer":4},{"info":"compute binary expreesion, left_input=5906, right_input=1724, 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 = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 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=-160, right_input=-1884, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":5,"result_base":5,"text":"(⊖∈(⋃⇑⪆21303))∌(⊄⩳↩⇑⪆221021)∺≝⩲(⇑⪆121110⩁⩘⇑⪆22230)⪕(⨦⪝(⇑⪆142111≎⪠⇑⪆23344⊘))=⇑⪆12220","reverse_text":"⇑⪆12220=(⊖∈(⋃⇑⪆21303))∌(⊄⩳↩⇑⪆221021)∺≝⩲(⇑⪆121110⩁⩘⇑⪆22230)⪕(⨦⪝(⇑⪆142111≎⪠⇑⪆23344⊘))","cot":[{"info":"⋃⇑⪆21303=⇑⪆44013","layer":3},{"info":"⊖∈⇑⪆44013=⇑⪆3221231","layer":2},{"info":"⊄⩳↩⇑⪆221021=⇑⪆-1213113","layer":3},{"info":"⇑⪆121110⩁⩘⇑⪆22230=⇑⪆212313","layer":3},{"info":"⇑⪆-1213113∺≝⩲⇑⪆212313=⇑⪆1120","layer":2},{"info":"⇑⪆3221231∌⇑⪆1120=⇑⪆-1120","layer":1},{"info":"⇑⪆142111≎⪠⇑⪆23344=⇑⪆1111213","layer":3},{"info":"⇑⪆1111213⊘=⇑⪆0","layer":2},{"info":"⨦⪝⇑⪆0=⇑⪆-30014","layer":1},{"info":"⇑⪆-1120⪕⇑⪆-30014=⇑⪆12220","layer":0}]}
{"id":882,"expression_no_base_symbol":"((($1220$⫩⊇)⪇≇⋚($3098$∵≐))⫠)⋥≓≎($2158$⫘$4854$⋷$2804$≁↽≥$5200$)⨐($3059$⪃⊛⇣$4938$≦↸(⨴⫝$2189$))","expression":"(((⇑⪆14340⫩⊇)⪇≇⋚(⇑⪆44343∵≐))⫠)⋥≓≎(⇑⪆32113⫘⇑⪆123404⋷⇑⪆42204≁↽≥⇑⪆131300)⨐(⇑⪆44214⪃⊛⇣⇑⪆124223≦↸(⨴⫝⇑⪆32224))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4868,"operation_count":12,"complexity_ratio":405.6666666666667,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1220,"base":5}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":3098,"base":5}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2158,"base":5},"right_expr":{"type":"numeric_atoms","value":4854,"base":5}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2804,"base":5},"right_expr":{"type":"numeric_atoms","value":5200,"base":5}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3059,"base":5},"right_expr":{"type":"numeric_atoms","value":4938,"base":5}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":2189,"base":5}}}}},"used_operators":["Qy55tPpLXF","6SnOT2rOjz","3sJ7IOPOlU","BjRHVeLaeN","59igzFyhWz","Noe24qw2ks","23Mk6UjR3U","48vC8HMD2b","ncHt1X6cMc","RygbFNSyEJ","rrgAzCduG9","SVb2v531z1"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","oWn0xqSxBt","3Oe9XWJUTD","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"⇑⪆4444043244","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1220","layer":4},{"info":"compute unary expreesion, input=1220, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1178","layer":3},{"info":"number node, value=3098","layer":4},{"info":"compute unary expreesion, input=3098, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=2152","layer":3},{"info":"compute binary expreesion, left_input=-1178, right_input=2152, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":1},{"info":"number node, value=2158","layer":4},{"info":"number node, value=4854","layer":4},{"info":"compute binary expreesion, left_input=2158, right_input=4854, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2542213","layer":3},{"info":"number node, value=2804","layer":4},{"info":"number node, value=5200","layer":4},{"info":"compute binary expreesion, left_input=2804, right_input=5200, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=51992","layer":3},{"info":"compute binary expreesion, left_input=2542213, right_input=51992, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2438229","layer":2},{"info":"number node, value=3059","layer":4},{"info":"number node, value=4938","layer":4},{"info":"compute binary expreesion, left_input=3059, right_input=4938, 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=2189","layer":4},{"info":"compute unary expreesion, input=2189, 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=1234, right_input=2828198, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-5658183","layer":2},{"info":"compute binary expreesion, left_input=-2438229, right_input=-5658183, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=4876458","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=4876458, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9752949","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆14340⫩⊇)⪇≇⋚(⇑⪆44343∵≐))⫠)⋥≓≎(⇑⪆32113⫘⇑⪆123404⋷⇑⪆42204≁↽≥⇑⪆131300)⨐(⇑⪆44214⪃⊛⇣⇑⪆124223≦↸(⨴⫝⇑⪆32224))=⇑⪆4444043244","reverse_text":"⇑⪆4444043244=(((⇑⪆14340⫩⊇)⪇≇⋚(⇑⪆44343∵≐))⫠)⋥≓≎(⇑⪆32113⫘⇑⪆123404⋷⇑⪆42204≁↽≥⇑⪆131300)⨐(⇑⪆44214⪃⊛⇣⇑⪆124223≦↸(⨴⫝⇑⪆32224))","cot":[{"info":"⇑⪆14340⫩⊇=⇑⪆-14203","layer":3},{"info":"⇑⪆44343∵≐=⇑⪆32102","layer":3},{"info":"⇑⪆-14203⪇≇⋚⇑⪆32102=⇑⪆0","layer":2},{"info":"⇑⪆0⫠=⇑⪆0","layer":1},{"info":"⇑⪆32113⫘⇑⪆123404=⇑⪆1122322323","layer":3},{"info":"⇑⪆42204≁↽≥⇑⪆131300=⇑⪆3130432","layer":3},{"info":"⇑⪆1122322323⋷⇑⪆3130432=⇑⪆-1111010404","layer":2},{"info":"⇑⪆44214⪃⊛⇣⇑⪆124223=⇑⪆14414","layer":3},{"info":"⨴⫝⇑⪆32224=⇑⪆1211000243","layer":3},{"info":"⇑⪆14414≦↸⇑⪆1211000243=⇑⪆-2422030213","layer":2},{"info":"⇑⪆-1111010404⨐⇑⪆-2422030213=⇑⪆2222021313","layer":1},{"info":"⇑⪆0⋥≓≎⇑⪆2222021313=⇑⪆4444043244","layer":0}]}
{"id":883,"expression_no_base_symbol":"((⨈⫕$1367$)⨴∎)⊮⊟↴(∜⨇$5187$⇡⇂$1936$)⨔≚≋(((≘$4624$)⫰⋱($1451$⪹))⇗⋫)","expression":"((⨈⫕⇑⪆20432)⨴∎)⊮⊟↴(∜⨇⇑⪆131222⇡⇂⇑⪆30221)⨔≚≋(((≘⇑⪆121444)⫰⋱(⇑⪆21301⪹))⇗⋫)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10597,"operation_count":10,"complexity_ratio":1059.7,"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":1367,"base":5}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":5187,"base":5},"right_expr":{"type":"numeric_atoms","value":1936,"base":5}}}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":4624,"base":5}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1451,"base":5}}}}},"used_operators":["Z57zeUYC9z","QDVgd2eftb","CpSg5vQTgA","megm06wKyl","uFPyJr306J","UMwdvZNt44","hpqmaQFPrd","6o9Blt3TJ6","tcjXMdvYtA","B3sABdIn96"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rxpJgHHUmx","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","9FxExcQeMw","e1ybzncUwg","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1367","layer":4},{"info":"compute unary expreesion, input=1367, 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 = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=24","layer":2},{"info":"number node, value=5187","layer":4},{"info":"number node, value=1936","layer":4},{"info":"compute binary expreesion, left_input=5187, right_input=1936, 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 = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=24, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"number node, value=4624","layer":4},{"info":"compute unary expreesion, input=4624, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=10196704","layer":3},{"info":"number node, value=1451","layer":4},{"info":"compute unary expreesion, input=1451, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=7394","layer":3},{"info":"compute binary expreesion, left_input=10196704, right_input=7394, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-10196671","layer":2},{"info":"compute unary expreesion, input=-10196671, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⨈⫕⇑⪆20432)⨴∎)⊮⊟↴(∜⨇⇑⪆131222⇡⇂⇑⪆30221)⨔≚≋(((≘⇑⪆121444)⫰⋱(⇑⪆21301⪹))⇗⋫)=NaN","reverse_text":"NaN=((⨈⫕⇑⪆20432)⨴∎)⊮⊟↴(∜⨇⇑⪆131222⇡⇂⇑⪆30221)⨔≚≋(((≘⇑⪆121444)⫰⋱(⇑⪆21301⪹))⇗⋫)","cot":[{"info":"⨈⫕⇑⪆20432=⇑⪆-41","layer":3},{"info":"⇑⪆-41⨴∎=⇑⪆44","layer":2},{"info":"⇑⪆131222⇡⇂⇑⪆30221=NaN","layer":3},{"info":"∜⨇NaN=NaN","layer":2},{"info":"⇑⪆44⊮⊟↴NaN=NaN","layer":1},{"info":"≘⇑⪆121444=⇑⪆10102243304","layer":3},{"info":"⇑⪆21301⪹=⇑⪆214034","layer":3},{"info":"⇑⪆10102243304⫰⋱⇑⪆214034=⇑⪆-10102243141","layer":2},{"info":"⇑⪆-10102243141⇗⋫=NaN","layer":1},{"info":"NaN⨔≚≋NaN=NaN","layer":0}]}
{"id":884,"expression_no_base_symbol":"(($8756$⫳≱↱$3525$)∛$1485$⨥⫆$1060$)↳∿⪆($2984$⪔$7517$⫌⩉⩟$5440$⨸$4200$)⊭↱(($6561$∘$2700$)∳⫺($2341$⪎↠$1536$)⋷(+⊝⨔$1003$⪟⇏$1429$))","expression":"((⇑⪆240011⫳≱↱⇑⪆103100)∛⇑⪆21420⨥⫆⇑⪆13220)↳∿⪆(⇑⪆43414⪔⇑⪆220032⫌⩉⩟⇑⪆133230⨸⇑⪆113300)⊭↱((⇑⪆202221∘⇑⪆41300)∳⫺(⇑⪆33331⪎↠⇑⪆22121)⋷(+⊝⨔⇑⪆13003⪟⇏⇑⪆21204))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":70542,"operation_count":14,"complexity_ratio":5038.714285714285,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":8756,"base":5},"right_expr":{"type":"numeric_atoms","value":3525,"base":5}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1485,"base":5},"right_expr":{"type":"numeric_atoms","value":1060,"base":5}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2984,"base":5},"right_expr":{"type":"numeric_atoms","value":7517,"base":5}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":5440,"base":5},"right_expr":{"type":"numeric_atoms","value":4200,"base":5}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":6561,"base":5},"right_expr":{"type":"numeric_atoms","value":2700,"base":5}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2341,"base":5},"right_expr":{"type":"numeric_atoms","value":1536,"base":5}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1003,"base":5},"right_expr":{"type":"numeric_atoms","value":1429,"base":5}}}}},"used_operators":["COABgblf1C","Cw4SuJJGHO","w2537kitQq","ZvLB05nZmT","yXekIHxTD4","XIIwhv8d0m","GjBEYRfMaF","KmoU8R5UQR","23Mk6UjR3U","AzXXKTstlj","Z5m6OM72h2","3tVxb0NHM4","DhbWaqg5eL","GODebY97qR"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eH2TOUuTDT","rysDP5nf3Z","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8756","layer":4},{"info":"number node, value=3525","layer":4},{"info":"compute binary expreesion, left_input=8756, right_input=3525, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1485","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=1485, right_input=1060, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=1996","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=1996, 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=2984","layer":4},{"info":"number node, value=7517","layer":4},{"info":"compute binary expreesion, left_input=2984, right_input=7517, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=5440","layer":4},{"info":"number node, value=4200","layer":4},{"info":"compute binary expreesion, left_input=5440, right_input=4200, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=10880","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=10880, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=-50, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=6561","layer":4},{"info":"number node, value=2700","layer":4},{"info":"compute binary expreesion, left_input=6561, right_input=2700, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=13122","layer":3},{"info":"number node, value=2341","layer":4},{"info":"number node, value=1536","layer":4},{"info":"compute binary expreesion, left_input=2341, right_input=1536, 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=13122, right_input=160, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=1003","layer":4},{"info":"number node, value=1429","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=1429, 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 = 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=-260, right_input=1522, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=520","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=520, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆240011⫳≱↱⇑⪆103100)∛⇑⪆21420⨥⫆⇑⪆13220)↳∿⪆(⇑⪆43414⪔⇑⪆220032⫌⩉⩟⇑⪆133230⨸⇑⪆113300)⊭↱((⇑⪆202221∘⇑⪆41300)∳⫺(⇑⪆33331⪎↠⇑⪆22121)⋷(+⊝⨔⇑⪆13003⪟⇏⇑⪆21204))=NaN","reverse_text":"NaN=((⇑⪆240011⫳≱↱⇑⪆103100)∛⇑⪆21420⨥⫆⇑⪆13220)↳∿⪆(⇑⪆43414⪔⇑⪆220032⫌⩉⩟⇑⪆133230⨸⇑⪆113300)⊭↱((⇑⪆202221∘⇑⪆41300)∳⫺(⇑⪆33331⪎↠⇑⪆22121)⋷(+⊝⨔⇑⪆13003⪟⇏⇑⪆21204))","cot":[{"info":"⇑⪆240011⫳≱↱⇑⪆103100=⇑⪆-1304","layer":3},{"info":"⇑⪆21420⨥⫆⇑⪆13220=⇑⪆30441","layer":3},{"info":"⇑⪆-1304∛⇑⪆30441=⇑⪆-10201","layer":2},{"info":"⇑⪆43414⪔⇑⪆220032=⇑⪆3300","layer":3},{"info":"⇑⪆133230⨸⇑⪆113300=⇑⪆322010","layer":3},{"info":"⇑⪆3300⫌⩉⩟⇑⪆322010=⇑⪆-200","layer":2},{"info":"⇑⪆-10201↳∿⪆⇑⪆-200=NaN","layer":1},{"info":"⇑⪆202221∘⇑⪆41300=⇑⪆404442","layer":3},{"info":"⇑⪆33331⪎↠⇑⪆22121=⇑⪆1120","layer":3},{"info":"⇑⪆404442∳⫺⇑⪆1120=⇑⪆-2020","layer":2},{"info":"⇑⪆13003⪟⇏⇑⪆21204=⇑⪆-1","layer":3},{"info":"+⊝⨔⇑⪆-1=⇑⪆22042","layer":2},{"info":"⇑⪆-2020⋷⇑⪆22042=⇑⪆4040","layer":1},{"info":"NaN⊭↱⇑⪆4040=NaN","layer":0}]}
{"id":885,"expression_no_base_symbol":"($5609$⪒$3818$)⩣⫁∢($1267$⫸⇳$5889$)⇴($1000$⩷∴$1553$)≦↸($3057$≝⊿$9205$)⪨⊡(⨴⫝($6482$⪉⨛$4011$*$1005$∀⇚≩$2660$))","expression":"(⇑⪆134414⪒⇑⪆110233)⩣⫁∢(⇑⪆20032⫸⇳⇑⪆142024)⇴(⇑⪆13000⩷∴⇑⪆22203)≦↸(⇑⪆44212≝⊿⇑⪆243310)⪨⊡(⨴⫝(⇑⪆201412⪉⨛⇑⪆112021*⇑⪆13010∀⇚≩⇑⪆41120))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7237,"operation_count":12,"complexity_ratio":603.0833333333334,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5609,"base":5},"right_expr":{"type":"numeric_atoms","value":3818,"base":5}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1267,"base":5},"right_expr":{"type":"numeric_atoms","value":5889,"base":5}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1000,"base":5},"right_expr":{"type":"numeric_atoms","value":1553,"base":5}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":3057,"base":5},"right_expr":{"type":"numeric_atoms","value":9205,"base":5}}}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":6482,"base":5},"right_expr":{"type":"numeric_atoms","value":4011,"base":5}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1005,"base":5},"right_expr":{"type":"numeric_atoms","value":2660,"base":5}}}}},"used_operators":["kuIXHzHcAH","4JB6nKBMSY","JDUIKTTSIa","f6k1SAg4EE","gx7XJ7hdpj","RygbFNSyEJ","9FxExcQeMw","OKKcZfAt5B","SVb2v531z1","9HNa5Wba9A","EWw2JM7wp4","LRNGc0VcxI"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","sdazOOVcIp","NTOWxs364D","COABgblf1C","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","12rbrZMWeM","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5609","layer":4},{"info":"number node, value=3818","layer":4},{"info":"compute binary expreesion, left_input=5609, right_input=3818, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9427","layer":3},{"info":"number node, value=1267","layer":4},{"info":"number node, value=5889","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=5889, 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=-9427, right_input=0, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=38273","layer":2},{"info":"number node, value=1000","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1553, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1138","layer":3},{"info":"number node, value=3057","layer":4},{"info":"number node, value=9205","layer":4},{"info":"compute binary expreesion, left_input=3057, right_input=9205, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-22000","layer":3},{"info":"compute binary expreesion, left_input=-1138, right_input=-22000, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=1819","layer":2},{"info":"compute binary expreesion, left_input=38273, right_input=1819, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=232890","layer":1},{"info":"number node, value=6482","layer":4},{"info":"number node, value=4011","layer":4},{"info":"compute binary expreesion, left_input=6482, right_input=4011, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=15650","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=2660","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=2660, 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=15650, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=232890, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆134414⪒⇑⪆110233)⩣⫁∢(⇑⪆20032⫸⇳⇑⪆142024)⇴(⇑⪆13000⩷∴⇑⪆22203)≦↸(⇑⪆44212≝⊿⇑⪆243310)⪨⊡(⨴⫝(⇑⪆201412⪉⨛⇑⪆112021*⇑⪆13010∀⇚≩⇑⪆41120))=NaN","reverse_text":"NaN=(⇑⪆134414⪒⇑⪆110233)⩣⫁∢(⇑⪆20032⫸⇳⇑⪆142024)⇴(⇑⪆13000⩷∴⇑⪆22203)≦↸(⇑⪆44212≝⊿⇑⪆243310)⪨⊡(⨴⫝(⇑⪆201412⪉⨛⇑⪆112021*⇑⪆13010∀⇚≩⇑⪆41120))","cot":[{"info":"⇑⪆134414⪒⇑⪆110233=⇑⪆-300202","layer":3},{"info":"⇑⪆20032⫸⇳⇑⪆142024=⇑⪆0","layer":3},{"info":"⇑⪆-300202⩣⫁∢⇑⪆0=⇑⪆2211043","layer":2},{"info":"⇑⪆13000⩷∴⇑⪆22203=⇑⪆-14023","layer":3},{"info":"⇑⪆44212≝⊿⇑⪆243310=⇑⪆-1201000","layer":3},{"info":"⇑⪆-14023≦↸⇑⪆-1201000=⇑⪆24234","layer":2},{"info":"⇑⪆2211043⇴⇑⪆24234=⇑⪆24423030","layer":1},{"info":"⇑⪆201412⪉⨛⇑⪆112021=⇑⪆1000100","layer":3},{"info":"⇑⪆13010∀⇚≩⇑⪆41120=NaN","layer":3},{"info":"⇑⪆1000100*NaN=NaN","layer":2},{"info":"⨴⫝NaN=NaN","layer":1},{"info":"⇑⪆24423030⪨⊡NaN=NaN","layer":0}]}
{"id":886,"expression_no_base_symbol":"(≋($4248$≒∊$2589$)∴($5544$≬⇓$3086$))∑⇟⊟(⊁⨺($1119$⋹⋡⊁$2992$∷($4131$⪑⩈)))","expression":"(≋(⇑⪆113443≒∊⇑⪆40324)∴(⇑⪆134134≬⇓⇑⪆44321))∑⇟⊟(⊁⨺(⇑⪆13434⋹⋡⊁⇑⪆43432∷(⇑⪆113011⪑⩈)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":88379,"operation_count":9,"complexity_ratio":9819.888888888889,"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":4248,"base":5},"right_expr":{"type":"numeric_atoms","value":2589,"base":5}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":5544,"base":5},"right_expr":{"type":"numeric_atoms","value":3086,"base":5}}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1119,"base":5},"right_expr":{"type":"numeric_atoms","value":2992,"base":5}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":4131,"base":5}}}}},"used_operators":["U7g4x0WXJJ","61wBmkZwlr","hrf7POJlIJ","5KTvxBwnZo","jWTQ2TZYIH","PxiHyQbrIp","D3AQDKkPcf","As8RqfVLgs","C6VvDP6HwP"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","7j4O788W3g","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4248","layer":4},{"info":"number node, value=2589","layer":4},{"info":"compute binary expreesion, left_input=4248, right_input=2589, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3764","layer":3},{"info":"number node, value=5544","layer":4},{"info":"number node, value=3086","layer":4},{"info":"compute binary expreesion, left_input=5544, right_input=3086, 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=-3764, right_input=-22, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-5880","layer":2},{"info":"compute unary expreesion, input=-5880, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-5880","layer":1},{"info":"number node, value=1119","layer":4},{"info":"number node, value=2992","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=2992, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3742","layer":3},{"info":"number node, value=4131","layer":4},{"info":"compute unary expreesion, input=4131, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=30507","layer":3},{"info":"compute binary expreesion, left_input=3742, right_input=30507, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=30507","layer":2},{"info":"compute unary expreesion, input=30507, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-5880, right_input=160, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(≋(⇑⪆113443≒∊⇑⪆40324)∴(⇑⪆134134≬⇓⇑⪆44321))∑⇟⊟(⊁⨺(⇑⪆13434⋹⋡⊁⇑⪆43432∷(⇑⪆113011⪑⩈)))=NaN","reverse_text":"NaN=(≋(⇑⪆113443≒∊⇑⪆40324)∴(⇑⪆134134≬⇓⇑⪆44321))∑⇟⊟(⊁⨺(⇑⪆13434⋹⋡⊁⇑⪆43432∷(⇑⪆113011⪑⩈)))","cot":[{"info":"⇑⪆113443≒∊⇑⪆40324=⇑⪆-110024","layer":3},{"info":"⇑⪆134134≬⇓⇑⪆44321=⇑⪆-42","layer":3},{"info":"⇑⪆-110024∴⇑⪆-42=⇑⪆-142010","layer":2},{"info":"≋⇑⪆-142010=⇑⪆-142010","layer":1},{"info":"⇑⪆13434⋹⋡⊁⇑⪆43432=⇑⪆104432","layer":3},{"info":"⇑⪆113011⪑⩈=⇑⪆1434012","layer":3},{"info":"⇑⪆104432∷⇑⪆1434012=⇑⪆1434012","layer":2},{"info":"⊁⨺⇑⪆1434012=⇑⪆1120","layer":1},{"info":"⇑⪆-142010∑⇟⊟⇑⪆1120=NaN","layer":0}]}
{"id":887,"expression_no_base_symbol":"($5022$⊉↱≁$4272$⊾⪯⋞$3321$≓∲$1263$⩭)≃⋄","expression":"(⇑⪆130042⊉↱≁⇑⪆114042⊾⪯⋞⇑⪆101241≓∲⇑⪆20023⩭)≃⋄","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":305967,"operation_count":5,"complexity_ratio":61193.4,"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":5022,"base":5},"right_expr":{"type":"numeric_atoms","value":4272,"base":5}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3321,"base":5},"right_expr":{"type":"numeric_atoms","value":1263,"base":5}}}}},"used_operators":["aN9a90urxU","yIPP7u6H5x","HK0tfVPux8","w2P8NbNXyL","s1XTVnmDOJ"],"dependent_operators":["uFcxV4UQCh","jLgFTUHLKL","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5022","layer":4},{"info":"number node, value=4272","layer":4},{"info":"compute binary expreesion, left_input=5022, right_input=4272, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=24536","layer":3},{"info":"number node, value=3321","layer":4},{"info":"number node, value=1263","layer":4},{"info":"compute binary expreesion, left_input=3321, right_input=1263, 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=33993","layer":3},{"info":"compute binary expreesion, left_input=24536, right_input=33993, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=67560","layer":2},{"info":"compute unary expreesion, input=67560, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆130042⊉↱≁⇑⪆114042⊾⪯⋞⇑⪆101241≓∲⇑⪆20023⩭)≃⋄=NaN","reverse_text":"NaN=(⇑⪆130042⊉↱≁⇑⪆114042⊾⪯⋞⇑⪆101241≓∲⇑⪆20023⩭)≃⋄","cot":[{"info":"⇑⪆130042⊉↱≁⇑⪆114042=⇑⪆1241121","layer":3},{"info":"⇑⪆101241≓∲⇑⪆20023=⇑⪆2041433","layer":3},{"info":"⇑⪆1241121⊾⪯⋞⇑⪆2041433=⇑⪆4130220","layer":2},{"info":"⇑⪆4130220⩭=NaN","layer":1},{"info":"NaN≃⋄=NaN","layer":0}]}
{"id":888,"expression_no_base_symbol":"($2906$≦↸$2320$⨟⋌⩍($1715$⨑≵⋬$3177$)⩺⋐⫨)⪟⇏(($2979$↞⋁$1989$⩘⨬⇊)∊∟⩊(⩩$3824$⪝$6517$))","expression":"(⇑⪆43111≦↸⇑⪆33240⨟⋌⩍(⇑⪆23330⨑≵⋬⇑⪆100202)⩺⋐⫨)⪟⇏((⇑⪆43404↞⋁⇑⪆30424⩘⨬⇊)∊∟⩊(⩩⇑⪆110244⪝⇑⪆202032))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":58598,"operation_count":10,"complexity_ratio":5859.8,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2906,"base":5},"right_expr":{"type":"numeric_atoms","value":2320,"base":5}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1715,"base":5},"right_expr":{"type":"numeric_atoms","value":3177,"base":5}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2979,"base":5},"right_expr":{"type":"numeric_atoms","value":1989,"base":5}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3824,"base":5},"right_expr":{"type":"numeric_atoms","value":6517,"base":5}}}}},"used_operators":["GODebY97qR","yS9ePUuUdn","rGHVDoGpnC","RygbFNSyEJ","XnXgA4xnOs","ddLRYrp01A","XXmTpEpWTW","RqrPlJkxDo","kMhfGuqI2H","wicAB68Tmb"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","Tcnh7f0tEr","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2906","layer":4},{"info":"number node, value=2320","layer":4},{"info":"compute binary expreesion, left_input=2906, right_input=2320, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-9771","layer":3},{"info":"number node, value=1715","layer":4},{"info":"number node, value=3177","layer":4},{"info":"compute binary expreesion, left_input=1715, right_input=3177, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-12285","layer":3},{"info":"compute binary expreesion, left_input=-9771, right_input=-12285, 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 = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=nan","layer":1},{"info":"number node, value=2979","layer":4},{"info":"number node, value=1989","layer":4},{"info":"compute binary expreesion, left_input=2979, right_input=1989, 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 = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":2},{"info":"number node, value=3824","layer":4},{"info":"number node, value=6517","layer":4},{"info":"compute binary expreesion, left_input=3824, right_input=6517, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute unary expreesion, input=237, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=nan","layer":1},{"info":"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":0}],"base":5,"result_base":5,"text":"(⇑⪆43111≦↸⇑⪆33240⨟⋌⩍(⇑⪆23330⨑≵⋬⇑⪆100202)⩺⋐⫨)⪟⇏((⇑⪆43404↞⋁⇑⪆30424⩘⨬⇊)∊∟⩊(⩩⇑⪆110244⪝⇑⪆202032))=NaN","reverse_text":"NaN=(⇑⪆43111≦↸⇑⪆33240⨟⋌⩍(⇑⪆23330⨑≵⋬⇑⪆100202)⩺⋐⫨)⪟⇏((⇑⪆43404↞⋁⇑⪆30424⩘⨬⇊)∊∟⩊(⩩⇑⪆110244⪝⇑⪆202032))","cot":[{"info":"⇑⪆43111≦↸⇑⪆33240=⇑⪆-303041","layer":3},{"info":"⇑⪆23330⨑≵⋬⇑⪆100202=⇑⪆-343120","layer":3},{"info":"⇑⪆-303041⨟⋌⩍⇑⪆-343120=NaN","layer":2},{"info":"NaN⩺⋐⫨=NaN","layer":1},{"info":"⇑⪆43404↞⋁⇑⪆30424=NaN","layer":3},{"info":"NaN⩘⨬⇊=NaN","layer":2},{"info":"⇑⪆110244⪝⇑⪆202032=⇑⪆1422","layer":3},{"info":"⩩⇑⪆1422=NaN","layer":2},{"info":"NaN∊∟⩊NaN=NaN","layer":1},{"info":"NaN⪟⇏NaN=NaN","layer":0}]}
{"id":889,"expression_no_base_symbol":"(≻⋜($6990$⨸$2210$⨪↰⇹$2355$⪥$3212$))⊉↱≁($1681$⨔⇊$2229$⫰⋱$4157$≴⪞⇿$1264$⋭≵($6341$⨚$2145$)∳⫺$1952$≎⪠$1734$)","expression":"(≻⋜(⇑⪆210430⨸⇑⪆32320⨪↰⇹⇑⪆33410⪥⇑⪆100322))⊉↱≁(⇑⪆23211⨔⇊⇑⪆32404⫰⋱⇑⪆113112≴⪞⇿⇑⪆20024⋭≵(⇑⪆200331⨚⇑⪆32040)∳⫺⇑⪆30302≎⪠⇑⪆23414)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":130452,"operation_count":12,"complexity_ratio":10871.0,"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":6990,"base":5},"right_expr":{"type":"numeric_atoms","value":2210,"base":5}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2355,"base":5},"right_expr":{"type":"numeric_atoms","value":3212,"base":5}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1681,"base":5},"right_expr":{"type":"numeric_atoms","value":2229,"base":5}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":4157,"base":5},"right_expr":{"type":"numeric_atoms","value":1264,"base":5}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":6341,"base":5},"right_expr":{"type":"numeric_atoms","value":2145,"base":5}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1952,"base":5},"right_expr":{"type":"numeric_atoms","value":1734,"base":5}}}}},"used_operators":["w2P8NbNXyL","3tj9sqzovi","tmPS8pqC7x","KmoU8R5UQR","QbnwKVWMIQ","jBncVCNhdl","6o9Blt3TJ6","JclMnS0uGI","lvlrscuwVU","AzXXKTstlj","nREPSIbpBE","aNhz54LH3e"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","rJVOvQCfKK","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","BjRHVeLaeN","12rbrZMWeM","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6990","layer":4},{"info":"number node, value=2210","layer":4},{"info":"compute binary expreesion, left_input=6990, right_input=2210, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=13980","layer":3},{"info":"number node, value=2355","layer":4},{"info":"number node, value=3212","layer":4},{"info":"compute binary expreesion, left_input=2355, right_input=3212, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=14072","layer":3},{"info":"compute binary expreesion, left_input=13980, right_input=14072, 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=13980","layer":2},{"info":"compute unary expreesion, input=13980, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"number node, value=1681","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=1681, right_input=2229, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2229","layer":3},{"info":"number node, value=4157","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=4157, right_input=1264, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=30171146","layer":3},{"info":"compute binary expreesion, left_input=2229, right_input=30171146, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2196","layer":2},{"info":"number node, value=6341","layer":4},{"info":"number node, value=2145","layer":4},{"info":"compute binary expreesion, left_input=6341, right_input=2145, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=5036","layer":3},{"info":"number node, value=1952","layer":4},{"info":"number node, value=1734","layer":4},{"info":"compute binary expreesion, left_input=1952, right_input=1734, 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=5036, right_input=19558, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-18910","layer":2},{"info":"compute binary expreesion, left_input=-2196, right_input=-18910, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(≻⋜(⇑⪆210430⨸⇑⪆32320⨪↰⇹⇑⪆33410⪥⇑⪆100322))⊉↱≁(⇑⪆23211⨔⇊⇑⪆32404⫰⋱⇑⪆113112≴⪞⇿⇑⪆20024⋭≵(⇑⪆200331⨚⇑⪆32040)∳⫺⇑⪆30302≎⪠⇑⪆23414)=NaN","reverse_text":"NaN=(≻⋜(⇑⪆210430⨸⇑⪆32320⨪↰⇹⇑⪆33410⪥⇑⪆100322))⊉↱≁(⇑⪆23211⨔⇊⇑⪆32404⫰⋱⇑⪆113112≴⪞⇿⇑⪆20024⋭≵(⇑⪆200331⨚⇑⪆32040)∳⫺⇑⪆30302≎⪠⇑⪆23414)","cot":[{"info":"⇑⪆210430⨸⇑⪆32320=⇑⪆421410","layer":3},{"info":"⇑⪆33410⪥⇑⪆100322=⇑⪆422242","layer":3},{"info":"⇑⪆421410⨪↰⇹⇑⪆422242=⇑⪆421410","layer":2},{"info":"≻⋜⇑⪆421410=NaN","layer":1},{"info":"⇑⪆23211⨔⇊⇑⪆32404=⇑⪆32404","layer":3},{"info":"⇑⪆113112≴⪞⇿⇑⪆20024=⇑⪆30210434041","layer":3},{"info":"⇑⪆32404⫰⋱⇑⪆30210434041=⇑⪆-32241","layer":2},{"info":"⇑⪆200331⨚⇑⪆32040=⇑⪆130121","layer":3},{"info":"⇑⪆30302≎⪠⇑⪆23414=⇑⪆1111213","layer":3},{"info":"⇑⪆130121∳⫺⇑⪆1111213=⇑⪆-1101120","layer":2},{"info":"⇑⪆-32241⋭≵⇑⪆-1101120=⇑⪆232","layer":1},{"info":"NaN⊉↱≁⇑⪆232=NaN","layer":0}]}
{"id":890,"expression_no_base_symbol":"((($3846$⊟⇱)⨪↰⇹($3078$⪨≂$1355$))⇚⪠)⪶≀⋏(⩒∊($2333$⫸⊐$5625$))⩘($5032$⊴$1484$⇴∐(∑⇻≧$2215$))","expression":"(((⇑⪆110341⊟⇱)⨪↰⇹(⇑⪆44303⪨≂⇑⪆20410))⇚⪠)⪶≀⋏(⩒∊(⇑⪆33313⫸⊐⇑⪆140000))⩘(⇑⪆130112⊴⇑⪆21414⇴∐(∑⇻≧⇑⪆32330))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":744641,"operation_count":11,"complexity_ratio":67694.63636363637,"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":3846,"base":5}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3078,"base":5},"right_expr":{"type":"numeric_atoms","value":1355,"base":5}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2333,"base":5},"right_expr":{"type":"numeric_atoms","value":5625,"base":5}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5032,"base":5},"right_expr":{"type":"numeric_atoms","value":1484,"base":5}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":2215,"base":5}}}}},"used_operators":["zR4jO40bMj","Loh9y4A90B","tmPS8pqC7x","03sUfWo75k","sdazOOVcIp","cHh1gJQ2o6","qazvmhNBbN","mqXw5SEYmG","HnzytWxmAO","Nsiff2A1zJ","l1M9WJ3V7u"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","rJVOvQCfKK","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","dWAJyo7jo9","14qkJME0vr","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"⇑⪆-1242000101221","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3846","layer":4},{"info":"compute unary expreesion, input=3846, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=8008","layer":3},{"info":"number node, value=3078","layer":4},{"info":"number node, value=1355","layer":4},{"info":"compute binary expreesion, left_input=3078, right_input=1355, 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=3548","layer":3},{"info":"compute binary expreesion, left_input=8008, right_input=3548, 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=8008","layer":2},{"info":"compute unary expreesion, input=8008, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=128256128","layer":1},{"info":"number node, value=2333","layer":4},{"info":"number node, value=5625","layer":4},{"info":"compute binary expreesion, left_input=2333, right_input=5625, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=22375","layer":3},{"info":"compute unary expreesion, input=22375, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=43993","layer":2},{"info":"number node, value=5032","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=5032, right_input=1484, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2215","layer":4},{"info":"compute unary expreesion, input=2215, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-852, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=43993, 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=128256128, right_input=160, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-384768936","layer":0}],"base":5,"result_base":5,"text":"(((⇑⪆110341⊟⇱)⨪↰⇹(⇑⪆44303⪨≂⇑⪆20410))⇚⪠)⪶≀⋏(⩒∊(⇑⪆33313⫸⊐⇑⪆140000))⩘(⇑⪆130112⊴⇑⪆21414⇴∐(∑⇻≧⇑⪆32330))=⇑⪆-1242000101221","reverse_text":"⇑⪆-1242000101221=(((⇑⪆110341⊟⇱)⨪↰⇹(⇑⪆44303⪨≂⇑⪆20410))⇚⪠)⪶≀⋏(⩒∊(⇑⪆33313⫸⊐⇑⪆140000))⩘(⇑⪆130112⊴⇑⪆21414⇴∐(∑⇻≧⇑⪆32330))","cot":[{"info":"⇑⪆110341⊟⇱=⇑⪆224013","layer":3},{"info":"⇑⪆44303⪨≂⇑⪆20410=⇑⪆103143","layer":3},{"info":"⇑⪆224013⨪↰⇹⇑⪆103143=⇑⪆224013","layer":2},{"info":"⇑⪆224013⇚⪠=⇑⪆230313144003","layer":1},{"info":"⇑⪆33313⫸⊐⇑⪆140000=⇑⪆1204000","layer":3},{"info":"⩒∊⇑⪆1204000=⇑⪆2401433","layer":2},{"info":"⇑⪆130112⊴⇑⪆21414=NaN","layer":3},{"info":"∑⇻≧⇑⪆32330=⇑⪆-11402","layer":3},{"info":"NaN⇴∐⇑⪆-11402=NaN","layer":2},{"info":"⇑⪆2401433⩘NaN=⇑⪆1120","layer":1},{"info":"⇑⪆230313144003⪶≀⋏⇑⪆1120=⇑⪆-1242000101221","layer":0}]}
{"id":891,"expression_no_base_symbol":"⇋⊎⋝($1308$⋹⋡⊁$2988$≁(⇖$1949$)≭($4237$⋻⩜⩜$1655$)⨔⇊$1709$⨽∌$1472$)","expression":"⇋⊎⋝(⇑⪆20213⋹⋡⊁⇑⪆43423≁(⇖⇑⪆30244)≭(⇑⪆113422⋻⩜⩜⇑⪆23110)⨔⇊⇑⪆23314⨽∌⇑⪆21342)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":85881,"operation_count":8,"complexity_ratio":10735.125,"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":1308,"base":5},"right_expr":{"type":"numeric_atoms","value":2988,"base":5}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1949,"base":5}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4237,"base":5},"right_expr":{"type":"numeric_atoms","value":1655,"base":5}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1709,"base":5},"right_expr":{"type":"numeric_atoms","value":1472,"base":5}}}}},"used_operators":["CzM2PEoXns","rxpJgHHUmx","8N2wDY1A35","As8RqfVLgs","tfWHHpNKUN","JclMnS0uGI","oDCm7WA9JY","9samAPKr6k"],"dependent_operators":["dWAJyo7jo9","AHs5Up7iyr","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","2DQ55sFlQl","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1308","layer":4},{"info":"number node, value=2988","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=2988, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3738","layer":3},{"info":"number node, value=1949","layer":4},{"info":"compute unary expreesion, input=1949, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=3738, right_input=160, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=3219","layer":2},{"info":"number node, value=4237","layer":4},{"info":"number node, value=1655","layer":4},{"info":"compute binary expreesion, left_input=4237, right_input=1655, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=8474","layer":3},{"info":"number node, value=1709","layer":4},{"info":"number node, value=1472","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=1472, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=8474, 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=3219, right_input=0, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":1},{"info":"compute unary expreesion, input=-22, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⇋⊎⋝(⇑⪆20213⋹⋡⊁⇑⪆43423≁(⇖⇑⪆30244)≭(⇑⪆113422⋻⩜⩜⇑⪆23110)⨔⇊⇑⪆23314⨽∌⇑⪆21342)=NaN","reverse_text":"NaN=⇋⊎⋝(⇑⪆20213⋹⋡⊁⇑⪆43423≁(⇖⇑⪆30244)≭(⇑⪆113422⋻⩜⩜⇑⪆23110)⨔⇊⇑⪆23314⨽∌⇑⪆21342)","cot":[{"info":"⇑⪆20213⋹⋡⊁⇑⪆43423=⇑⪆104423","layer":3},{"info":"⇖⇑⪆30244=⇑⪆1120","layer":3},{"info":"⇑⪆104423≁⇑⪆1120=⇑⪆100334","layer":2},{"info":"⇑⪆113422⋻⩜⩜⇑⪆23110=⇑⪆232344","layer":3},{"info":"⇑⪆23314⨽∌⇑⪆21342=⇑⪆0","layer":3},{"info":"⇑⪆232344⨔⇊⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆100334≭⇑⪆0=⇑⪆-42","layer":1},{"info":"⇋⊎⋝⇑⪆-42=NaN","layer":0}]}
{"id":892,"expression_no_base_symbol":"(((↩⪖$2732$)⨐⩸⫘$3710$⋣⋖$2057$)⋅⇍(↥≼⋛$5501$)⪘⫢(+⊝⨔$7130$))⩌⋺(⩎⋉($1268$≒∊$1271$)⇡⇂(⫓⪴$2129$))","expression":"(((↩⪖⇑⪆41412)⨐⩸⫘⇑⪆104320⋣⋖⇑⪆31212)⋅⇍(↥≼⋛⇑⪆134001)⪘⫢(+⊝⨔⇑⪆212010))⩌⋺(⩎⋉(⇑⪆20033≒∊⇑⪆20041)⇡⇂(⫓⪴⇑⪆32004))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9686494,"operation_count":12,"complexity_ratio":807207.8333333334,"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":2732,"base":5}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3710,"base":5},"right_expr":{"type":"numeric_atoms","value":2057,"base":5}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":5501,"base":5}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":7130,"base":5}}}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1268,"base":5},"right_expr":{"type":"numeric_atoms","value":1271,"base":5}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2129,"base":5}}}}},"used_operators":["g7Hmc5v1ko","AdZkA7nFnk","fu6greOZ01","fG6uBQFnGz","J0M6qkBnIM","oacrs7FA3X","x5lMkHmzsq","DhbWaqg5eL","FlXk3pOYe8","UMwdvZNt44","5KTvxBwnZo","eLxqMNBOBk"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","3ViojmjbAp","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2732","layer":4},{"info":"compute unary expreesion, input=2732, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-19374","layer":3},{"info":"number node, value=3710","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=3710, right_input=2057, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3710","layer":3},{"info":"compute binary expreesion, left_input=-19374, right_input=3710, 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=5501","layer":4},{"info":"compute unary expreesion, input=5501, 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=7130","layer":4},{"info":"compute unary expreesion, input=7130, 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=-113, right_input=1522, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1608","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1608, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=nan","layer":1},{"info":"number node, value=1268","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=1271, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-784","layer":3},{"info":"number node, value=2129","layer":4},{"info":"compute unary expreesion, input=2129, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4532641","layer":3},{"info":"compute binary expreesion, left_input=-784, right_input=4532641, 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=-781","layer":2},{"info":"compute unary expreesion, input=-781, 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 = 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":5,"result_base":5,"text":"(((↩⪖⇑⪆41412)⨐⩸⫘⇑⪆104320⋣⋖⇑⪆31212)⋅⇍(↥≼⋛⇑⪆134001)⪘⫢(+⊝⨔⇑⪆212010))⩌⋺(⩎⋉(⇑⪆20033≒∊⇑⪆20041)⇡⇂(⫓⪴⇑⪆32004))=NaN","reverse_text":"NaN=(((↩⪖⇑⪆41412)⨐⩸⫘⇑⪆104320⋣⋖⇑⪆31212)⋅⇍(↥≼⋛⇑⪆134001)⪘⫢(+⊝⨔⇑⪆212010))⩌⋺(⩎⋉(⇑⪆20033≒∊⇑⪆20041)⇡⇂(⫓⪴⇑⪆32004))","cot":[{"info":"↩⪖⇑⪆41412=⇑⪆-1104444","layer":3},{"info":"⇑⪆104320⋣⋖⇑⪆31212=⇑⪆104320","layer":3},{"info":"⇑⪆-1104444⨐⩸⫘⇑⪆104320=NaN","layer":2},{"info":"↥≼⋛⇑⪆134001=⇑⪆-423","layer":3},{"info":"+⊝⨔⇑⪆212010=⇑⪆22042","layer":3},{"info":"⇑⪆-423⪘⫢⇑⪆22042=⇑⪆-22413","layer":2},{"info":"NaN⋅⇍⇑⪆-22413=NaN","layer":1},{"info":"⇑⪆20033≒∊⇑⪆20041=⇑⪆-11114","layer":3},{"info":"⫓⪴⇑⪆32004=⇑⪆2130021031","layer":3},{"info":"⇑⪆-11114⇡⇂⇑⪆2130021031=⇑⪆-11111","layer":2},{"info":"⩎⋉⇑⪆-11111=⇑⪆23100","layer":1},{"info":"NaN⩌⋺⇑⪆23100=NaN","layer":0}]}
{"id":893,"expression_no_base_symbol":"($2504$⨽∌$3591$≬⇓$2118$⫁⪎$1966$≓∲((≯$4872$)⫔⩽⩺($1990$-$1306$)))+⪬∐(⩷⨜⫀(↽≂$5216$⫒⫫$2525$))","expression":"(⇑⪆40004⨽∌⇑⪆103331≬⇓⇑⪆31433⫁⪎⇑⪆30331≓∲((≯⇑⪆123442)⫔⩽⩺(⇑⪆30430-⇑⪆20211)))+⪬∐(⩷⨜⫀(↽≂⇑⪆131331⫒⫫⇑⪆40100))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":475765,"operation_count":11,"complexity_ratio":43251.36363636364,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2504,"base":5},"right_expr":{"type":"numeric_atoms","value":3591,"base":5}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2118,"base":5},"right_expr":{"type":"numeric_atoms","value":1966,"base":5}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":4872,"base":5}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1990,"base":5},"right_expr":{"type":"numeric_atoms","value":1306,"base":5}}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":5216,"base":5},"right_expr":{"type":"numeric_atoms","value":2525,"base":5}}}}},"used_operators":["2GS7woTJqF","s1XTVnmDOJ","jWTQ2TZYIH","9samAPKr6k","xRrnTEsQ6j","i9eR4S00cU","keWfFq85dY","rysDP5nf3Z","CDi0ktkjQ4","u6S6b8DprG","6Ko8hGgeMq"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Tw270M8GLb","fu6greOZ01","g55IO6H4Gj","JLbD19bQDL","ruOEQAzv1W","nhYeJWJD5X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=2504","layer":4},{"info":"number node, value=3591","layer":4},{"info":"compute binary expreesion, left_input=2504, right_input=3591, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=2118","layer":4},{"info":"number node, value=1966","layer":4},{"info":"compute binary expreesion, left_input=2118, right_input=1966, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=152","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=152, 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=4872","layer":4},{"info":"compute unary expreesion, input=4872, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=1990","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=1990, right_input=1306, op_id = rysDP5nf3Z binary_op_definition= 'None', output=684","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=684, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', 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":"number node, value=5216","layer":4},{"info":"number node, value=2525","layer":4},{"info":"compute binary expreesion, left_input=5216, right_input=2525, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆40004⨽∌⇑⪆103331≬⇓⇑⪆31433⫁⪎⇑⪆30331≓∲((≯⇑⪆123442)⫔⩽⩺(⇑⪆30430-⇑⪆20211)))+⪬∐(⩷⨜⫀(↽≂⇑⪆131331⫒⫫⇑⪆40100))=NaN","reverse_text":"NaN=(⇑⪆40004⨽∌⇑⪆103331≬⇓⇑⪆31433⫁⪎⇑⪆30331≓∲((≯⇑⪆123442)⫔⩽⩺(⇑⪆30430-⇑⪆20211)))+⪬∐(⩷⨜⫀(↽≂⇑⪆131331⫒⫫⇑⪆40100))","cot":[{"info":"⇑⪆40004⨽∌⇑⪆103331=⇑⪆0","layer":3},{"info":"⇑⪆31433⫁⪎⇑⪆30331=⇑⪆1102","layer":3},{"info":"⇑⪆0≬⇓⇑⪆1102=⇑⪆0","layer":2},{"info":"≯⇑⪆123442=⇑⪆0","layer":3},{"info":"⇑⪆30430-⇑⪆20211=⇑⪆10214","layer":3},{"info":"⇑⪆0⫔⩽⩺⇑⪆10214=NaN","layer":2},{"info":"⇑⪆0≓∲NaN=NaN","layer":1},{"info":"⇑⪆131331⫒⫫⇑⪆40100=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⩷⨜⫀NaN=⇑⪆-1014","layer":1},{"info":"NaN+⪬∐⇑⪆-1014=NaN","layer":0}]}
{"id":894,"expression_no_base_symbol":"(($3039$∠↢$1734$)⩒⫫$1188$≚⊃≕$2536$⪡(($1258$⊾⪯⋞$6704$)⊝))≄⊠(∡$1219$)⋕⪉⪜($2956$+$7845$)⩣⫁∢($2134$⩁⩘$3085$∕⩚$3359$⫰⋱$5073$)","expression":"((⇑⪆44124∠↢⇑⪆23414)⩒⫫⇑⪆14223≚⊃≕⇑⪆40121⪡((⇑⪆20013⊾⪯⋞⇑⪆203304)⊝))≄⊠(∡⇑⪆14334)⋕⪉⪜(⇑⪆43311+⇑⪆222340)⩣⫁∢(⇑⪆32014⩁⩘⇑⪆44320∕⩚⇑⪆101414⫰⋱⇑⪆130243)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":312,"operation_count":14,"complexity_ratio":22.285714285714285,"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":3039,"base":5},"right_expr":{"type":"numeric_atoms","value":1734,"base":5}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1188,"base":5},"right_expr":{"type":"numeric_atoms","value":2536,"base":5}}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1258,"base":5},"right_expr":{"type":"numeric_atoms","value":6704,"base":5}}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1219,"base":5}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2956,"base":5},"right_expr":{"type":"numeric_atoms","value":7845,"base":5}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2134,"base":5},"right_expr":{"type":"numeric_atoms","value":3085,"base":5}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3359,"base":5},"right_expr":{"type":"numeric_atoms","value":5073,"base":5}}}}},"used_operators":["vXNesLlMH1","oraRL2iQuh","KFSx94NKJn","KbjG8mgYpV","Bmrmz2XGnR","O6EZ0fifGK","HK0tfVPux8","JDUIKTTSIa","z6LnFrNh4i","pRsWfj4Fpp","W4YGzv6Whe","z9ffQ9n5Zr","gub5Cegaqo","6o9Blt3TJ6"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"⇑⪆22000","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3039","layer":4},{"info":"number node, value=1734","layer":4},{"info":"compute binary expreesion, left_input=3039, right_input=1734, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-35350","layer":3},{"info":"number node, value=1188","layer":4},{"info":"number node, value=2536","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=2536, 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=-8728","layer":3},{"info":"compute binary expreesion, left_input=-35350, right_input=-8728, 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=1258","layer":4},{"info":"number node, value=6704","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=6704, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=12982","layer":3},{"info":"compute unary expreesion, input=12982, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=12982","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=12982, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":1},{"info":"number node, value=1219","layer":4},{"info":"compute unary expreesion, input=1219, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1219","layer":3},{"info":"number node, value=2956","layer":4},{"info":"number node, value=7845","layer":4},{"info":"compute binary expreesion, left_input=2956, right_input=7845, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10801","layer":3},{"info":"compute binary expreesion, left_input=-1219, right_input=10801, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=2134","layer":4},{"info":"number node, value=3085","layer":4},{"info":"compute binary expreesion, left_input=2134, right_input=3085, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=13288","layer":3},{"info":"number node, value=3359","layer":4},{"info":"number node, value=5073","layer":4},{"info":"compute binary expreesion, left_input=3359, right_input=5073, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3326","layer":3},{"info":"compute binary expreesion, left_input=13288, right_input=-3326, 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=204, right_input=-487, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-247","layer":1},{"info":"compute binary expreesion, left_input=107, right_input=-247, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆44124∠↢⇑⪆23414)⩒⫫⇑⪆14223≚⊃≕⇑⪆40121⪡((⇑⪆20013⊾⪯⋞⇑⪆203304)⊝))≄⊠(∡⇑⪆14334)⋕⪉⪜(⇑⪆43311+⇑⪆222340)⩣⫁∢(⇑⪆32014⩁⩘⇑⪆44320∕⩚⇑⪆101414⫰⋱⇑⪆130243)=⇑⪆22000","reverse_text":"⇑⪆22000=((⇑⪆44124∠↢⇑⪆23414)⩒⫫⇑⪆14223≚⊃≕⇑⪆40121⪡((⇑⪆20013⊾⪯⋞⇑⪆203304)⊝))≄⊠(∡⇑⪆14334)⋕⪉⪜(⇑⪆43311+⇑⪆222340)⩣⫁∢(⇑⪆32014⩁⩘⇑⪆44320∕⩚⇑⪆101414⫰⋱⇑⪆130243)","cot":[{"info":"⇑⪆44124∠↢⇑⪆23414=⇑⪆-2112400","layer":3},{"info":"⇑⪆14223≚⊃≕⇑⪆40121=⇑⪆-234403","layer":3},{"info":"⇑⪆-2112400⩒⫫⇑⪆-234403=⇑⪆1120","layer":2},{"info":"⇑⪆20013⊾⪯⋞⇑⪆203304=⇑⪆403412","layer":3},{"info":"⇑⪆403412⊝=⇑⪆403412","layer":2},{"info":"⇑⪆1120⪡⇑⪆403412=⇑⪆412","layer":1},{"info":"∡⇑⪆14334=⇑⪆-14334","layer":3},{"info":"⇑⪆43311+⇑⪆222340=⇑⪆321201","layer":3},{"info":"⇑⪆-14334⋕⪉⪜⇑⪆321201=⇑⪆1304","layer":2},{"info":"⇑⪆32014⩁⩘⇑⪆44320=⇑⪆411123","layer":3},{"info":"⇑⪆101414⫰⋱⇑⪆130243=⇑⪆-101301","layer":3},{"info":"⇑⪆411123∕⩚⇑⪆-101301=⇑⪆-3422","layer":2},{"info":"⇑⪆1304⩣⫁∢⇑⪆-3422=⇑⪆-1442","layer":1},{"info":"⇑⪆412≄⊠⇑⪆-1442=⇑⪆22000","layer":0}]}
{"id":895,"expression_no_base_symbol":"(⇠((⊑$5516$)≀⫉$8166$⫒⫫$4507$))≃⋄","expression":"(⇠((⊑⇑⪆134031)≀⫉⇑⪆230131⫒⫫⇑⪆121012))≃⋄","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":591,"operation_count":5,"complexity_ratio":118.2,"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":5516,"base":5}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":8166,"base":5},"right_expr":{"type":"numeric_atoms","value":4507,"base":5}}}}},"used_operators":["aN9a90urxU","18saOjeKKm","oZj3VtZNQx","IkUmn0D7oy","6Ko8hGgeMq"],"dependent_operators":["uFcxV4UQCh","jLgFTUHLKL","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"⇑⪆340212","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5516","layer":4},{"info":"compute unary expreesion, input=5516, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=8166","layer":4},{"info":"number node, value=4507","layer":4},{"info":"compute binary expreesion, left_input=8166, right_input=4507, 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=192, right_input=nan, 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 = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2580","layer":1},{"info":"compute unary expreesion, input=-2580, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=11932","layer":0}],"base":5,"result_base":5,"text":"(⇠((⊑⇑⪆134031)≀⫉⇑⪆230131⫒⫫⇑⪆121012))≃⋄=⇑⪆340212","reverse_text":"⇑⪆340212=(⇠((⊑⇑⪆134031)≀⫉⇑⪆230131⫒⫫⇑⪆121012))≃⋄","cot":[{"info":"⊑⇑⪆134031=⇑⪆1232","layer":3},{"info":"⇑⪆230131⫒⫫⇑⪆121012=NaN","layer":3},{"info":"⇑⪆1232≀⫉NaN=⇑⪆42242","layer":2},{"info":"⇠⇑⪆42242=⇑⪆-40310","layer":1},{"info":"⇑⪆-40310≃⋄=⇑⪆340212","layer":0}]}
{"id":896,"expression_no_base_symbol":"((≱⇩⩕$3533$)⨚⇆($5098$⫌⩉⩟$2416$)⇋≉)⨒($1667$⩒⫫$5735$⩨$5370$⩘$2154$∪⫐($2497$≎⊠⪸$3356$)⫉⨲⊜$3973$⨔⇊$1562$)","expression":"((≱⇩⩕⇑⪆103113)⨚⇆(⇑⪆130343⫌⩉⩟⇑⪆34131)⇋≉)⨒(⇑⪆23132⩒⫫⇑⪆140420⩨⇑⪆132440⩘⇑⪆32104∪⫐(⇑⪆34442≎⊠⪸⇑⪆101411)⫉⨲⊜⇑⪆111343⨔⇊⇑⪆22222)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17670,"operation_count":12,"complexity_ratio":1472.5,"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":3533,"base":5}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":5098,"base":5},"right_expr":{"type":"numeric_atoms","value":2416,"base":5}}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1667,"base":5},"right_expr":{"type":"numeric_atoms","value":5735,"base":5}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":5370,"base":5},"right_expr":{"type":"numeric_atoms","value":2154,"base":5}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2497,"base":5},"right_expr":{"type":"numeric_atoms","value":3356,"base":5}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3973,"base":5},"right_expr":{"type":"numeric_atoms","value":1562,"base":5}}}}},"used_operators":["y75s1iXyHd","XIabStNQrY","lwHaAYXP2r","3DZMoQKiUl","XIIwhv8d0m","7YooWSwCyH","2DlMacCsIx","KFSx94NKJn","cHh1gJQ2o6","WhqkvtTD3t","bJkvcejdHO","JclMnS0uGI"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rJVOvQCfKK","2DDjHMKMc0","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eewbuw0ToL","zVYPLywUTj","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3533","layer":4},{"info":"compute unary expreesion, input=3533, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=5098","layer":4},{"info":"number node, value=2416","layer":4},{"info":"compute binary expreesion, left_input=5098, right_input=2416, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-50, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"number node, value=1667","layer":4},{"info":"number node, value=5735","layer":4},{"info":"compute binary expreesion, left_input=1667, right_input=5735, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1365","layer":3},{"info":"number node, value=5370","layer":4},{"info":"number node, value=2154","layer":4},{"info":"compute binary expreesion, left_input=5370, right_input=2154, 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=1365, right_input=160, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"number node, value=2497","layer":4},{"info":"number node, value=3356","layer":4},{"info":"compute binary expreesion, left_input=2497, right_input=3356, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=646250","layer":3},{"info":"number node, value=3973","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=3973, right_input=1562, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1562","layer":3},{"info":"compute binary expreesion, left_input=646250, right_input=1562, 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 = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((≱⇩⩕⇑⪆103113)⨚⇆(⇑⪆130343⫌⩉⩟⇑⪆34131)⇋≉)⨒(⇑⪆23132⩒⫫⇑⪆140420⩨⇑⪆132440⩘⇑⪆32104∪⫐(⇑⪆34442≎⊠⪸⇑⪆101411)⫉⨲⊜⇑⪆111343⨔⇊⇑⪆22222)=NaN","reverse_text":"NaN=((≱⇩⩕⇑⪆103113)⨚⇆(⇑⪆130343⫌⩉⩟⇑⪆34131)⇋≉)⨒(⇑⪆23132⩒⫫⇑⪆140420⩨⇑⪆132440⩘⇑⪆32104∪⫐(⇑⪆34442≎⊠⪸⇑⪆101411)⫉⨲⊜⇑⪆111343⨔⇊⇑⪆22222)","cot":[{"info":"≱⇩⩕⇑⪆103113=⇑⪆423","layer":3},{"info":"⇑⪆130343⫌⩉⩟⇑⪆34131=⇑⪆-200","layer":3},{"info":"⇑⪆423⨚⇆⇑⪆-200=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"⇑⪆23132⩒⫫⇑⪆140420=⇑⪆20430","layer":3},{"info":"⇑⪆132440⩘⇑⪆32104=⇑⪆1120","layer":3},{"info":"⇑⪆20430⩨⇑⪆1120=⇑⪆0","layer":2},{"info":"⇑⪆34442≎⊠⪸⇑⪆101411=⇑⪆131140000","layer":3},{"info":"⇑⪆111343⨔⇊⇑⪆22222=⇑⪆22222","layer":3},{"info":"⇑⪆131140000⫉⨲⊜⇑⪆22222=⇑⪆0","layer":2},{"info":"⇑⪆0∪⫐⇑⪆0=⇑⪆0","layer":1},{"info":"NaN⨒⇑⪆0=NaN","layer":0}]}
{"id":897,"expression_no_base_symbol":"(((∡$1288$)⋝⋈⪟$1843$⪍↜⋙$4172$)⫁⪎(⨈⪑(≪$4854$)))⫯⪬∳((≻⋜($1180$↙$7454$))⪭≯($1902$⩇∃⫛$1327$)⇷$6446$↓$4259$)","expression":"(((∡⇑⪆20123)⋝⋈⪟⇑⪆24333⪍↜⋙⇑⪆113142)⫁⪎(⨈⪑(≪⇑⪆123404)))⫯⪬∳((≻⋜(⇑⪆14210↙⇑⪆214304))⪭≯(⇑⪆30102⩇∃⫛⇑⪆20302)⇷⇑⪆201241↓⇑⪆114014)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":234436,"operation_count":13,"complexity_ratio":18033.53846153846,"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":1288,"base":5}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1843,"base":5},"right_expr":{"type":"numeric_atoms","value":4172,"base":5}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":4854,"base":5}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1180,"base":5},"right_expr":{"type":"numeric_atoms","value":7454,"base":5}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1902,"base":5},"right_expr":{"type":"numeric_atoms","value":1327,"base":5}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":6446,"base":5},"right_expr":{"type":"numeric_atoms","value":4259,"base":5}}}}},"used_operators":["d7ASUq0ydm","xRrnTEsQ6j","2DDjHMKMc0","pRsWfj4Fpp","L05ObWFQCd","mp94q5OcYM","Qtd6bqUJcN","XAx5wpdLa6","3tj9sqzovi","yyfyN0ffXY","mp7IySMOzn","1aApVXNlOP","Af076pWI7l"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"⇑⪆142440","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1288","layer":4},{"info":"compute unary expreesion, input=1288, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1288","layer":3},{"info":"number node, value=1843","layer":4},{"info":"number node, value=4172","layer":4},{"info":"compute binary expreesion, left_input=1843, right_input=4172, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-18342","layer":3},{"info":"compute binary expreesion, left_input=-1288, right_input=-18342, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1288","layer":2},{"info":"number node, value=4854","layer":4},{"info":"compute unary expreesion, input=4854, 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 = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-1288, right_input=868, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2156","layer":1},{"info":"number node, value=1180","layer":4},{"info":"number node, value=7454","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=7454, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-22362","layer":3},{"info":"compute unary expreesion, input=-22362, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"number node, value=1902","layer":4},{"info":"number node, value=1327","layer":4},{"info":"compute binary expreesion, left_input=1902, right_input=1327, 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=-102","layer":3},{"info":"number node, value=6446","layer":4},{"info":"number node, value=4259","layer":4},{"info":"compute binary expreesion, left_input=6446, right_input=4259, 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=-102, right_input=-134, op_id = mp7IySMOzn 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 = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2156, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=5995","layer":0}],"base":5,"result_base":5,"text":"(((∡⇑⪆20123)⋝⋈⪟⇑⪆24333⪍↜⋙⇑⪆113142)⫁⪎(⨈⪑(≪⇑⪆123404)))⫯⪬∳((≻⋜(⇑⪆14210↙⇑⪆214304))⪭≯(⇑⪆30102⩇∃⫛⇑⪆20302)⇷⇑⪆201241↓⇑⪆114014)=⇑⪆142440","reverse_text":"⇑⪆142440=(((∡⇑⪆20123)⋝⋈⪟⇑⪆24333⪍↜⋙⇑⪆113142)⫁⪎(⨈⪑(≪⇑⪆123404)))⫯⪬∳((≻⋜(⇑⪆14210↙⇑⪆214304))⪭≯(⇑⪆30102⩇∃⫛⇑⪆20302)⇷⇑⪆201241↓⇑⪆114014)","cot":[{"info":"∡⇑⪆20123=⇑⪆-20123","layer":3},{"info":"⇑⪆24333⪍↜⋙⇑⪆113142=⇑⪆-1041332","layer":3},{"info":"⇑⪆-20123⋝⋈⪟⇑⪆-1041332=⇑⪆-20123","layer":2},{"info":"≪⇑⪆123404=⇑⪆12123","layer":3},{"info":"⨈⪑⇑⪆12123=⇑⪆11433","layer":2},{"info":"⇑⪆-20123⫁⪎⇑⪆11433=⇑⪆-32111","layer":1},{"info":"⇑⪆14210↙⇑⪆214304=⇑⪆-1203422","layer":3},{"info":"≻⋜⇑⪆-1203422=NaN","layer":2},{"info":"⇑⪆30102⩇∃⫛⇑⪆20302=⇑⪆-402","layer":3},{"info":"⇑⪆201241↓⇑⪆114014=⇑⪆-1014","layer":3},{"info":"⇑⪆-402⇷⇑⪆-1014=NaN","layer":2},{"info":"NaN⪭≯NaN=NaN","layer":1},{"info":"⇑⪆-32111⫯⪬∳NaN=⇑⪆142440","layer":0}]}
{"id":898,"expression_no_base_symbol":"+⊝⨔($3912$∺≝⩲$1592$∼($2847$⨴∎)⩹(⇐($4148$⊝⪿⪼$1098$)))","expression":"+⊝⨔(⇑⪆111122∺≝⩲⇑⪆22332∼(⇑⪆42342⨴∎)⩹(⇐(⇑⪆113043⊝⪿⪼⇑⪆13343)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3024,"operation_count":7,"complexity_ratio":432.0,"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":3912,"base":5},"right_expr":{"type":"numeric_atoms","value":1592,"base":5}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":2847,"base":5}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":4148,"base":5},"right_expr":{"type":"numeric_atoms","value":1098,"base":5}}}}},"used_operators":["DhbWaqg5eL","2Wsdkap16l","DyGG3AbaNP","KPf6cnQVty","CpSg5vQTgA","nmZMaaE0Q9","3Oe9XWJUTD"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⇑⪆22042","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3912","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=3912, right_input=1592, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=2847","layer":4},{"info":"compute unary expreesion, input=2847, 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 = 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=4148","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=4148, right_input=1098, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=61572","layer":3},{"info":"compute unary expreesion, input=61572, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=112238","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=112238, 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=112236","layer":1},{"info":"compute unary expreesion, input=112236, 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":5,"result_base":5,"text":"+⊝⨔(⇑⪆111122∺≝⩲⇑⪆22332∼(⇑⪆42342⨴∎)⩹(⇐(⇑⪆113043⊝⪿⪼⇑⪆13343)))=⇑⪆22042","reverse_text":"⇑⪆22042=+⊝⨔(⇑⪆111122∺≝⩲⇑⪆22332∼(⇑⪆42342⨴∎)⩹(⇐(⇑⪆113043⊝⪿⪼⇑⪆13343)))","cot":[{"info":"⇑⪆111122∺≝⩲⇑⪆22332=⇑⪆1120","layer":3},{"info":"⇑⪆42342⨴∎=NaN","layer":3},{"info":"⇑⪆1120∼NaN=NaN","layer":2},{"info":"⇑⪆113043⊝⪿⪼⇑⪆13343=⇑⪆3432242","layer":3},{"info":"⇐⇑⪆3432242=⇑⪆12042423","layer":2},{"info":"NaN⩹⇑⪆12042423=⇑⪆12042421","layer":1},{"info":"+⊝⨔⇑⪆12042421=⇑⪆22042","layer":0}]}
{"id":899,"expression_no_base_symbol":"(⨂⪏⇭($2320$⨰$1207$)↞⋁(↸⊣$5564$))⇐≅","expression":"(⨂⪏⇭(⇑⪆33240⨰⇑⪆14312)↞⋁(↸⊣⇑⪆134224))⇐≅","highest_n_order":5,"priority_hierarchical_complexity":4,"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":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2320,"base":5},"right_expr":{"type":"numeric_atoms","value":1207,"base":5}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":5564,"base":5}}}}},"used_operators":["wEfv7U73WA","AYdpE9sXAk","RqrPlJkxDo","eewbuw0ToL","wztAlM01eG"],"dependent_operators":["9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE"],"result":"⇑⪆212023","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2320","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=2320, right_input=1207, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1123","layer":3},{"info":"number node, value=5564","layer":4},{"info":"compute unary expreesion, input=5564, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-5277","layer":3},{"info":"compute binary expreesion, left_input=1123, right_input=-5277, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=1123","layer":2},{"info":"compute unary expreesion, input=1123, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=2390","layer":1},{"info":"compute unary expreesion, input=2390, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=7138","layer":0}],"base":5,"result_base":5,"text":"(⨂⪏⇭(⇑⪆33240⨰⇑⪆14312)↞⋁(↸⊣⇑⪆134224))⇐≅=⇑⪆212023","reverse_text":"⇑⪆212023=(⨂⪏⇭(⇑⪆33240⨰⇑⪆14312)↞⋁(↸⊣⇑⪆134224))⇐≅","cot":[{"info":"⇑⪆33240⨰⇑⪆14312=⇑⪆13443","layer":3},{"info":"↸⊣⇑⪆134224=⇑⪆-132102","layer":3},{"info":"⇑⪆13443↞⋁⇑⪆-132102=⇑⪆13443","layer":2},{"info":"⨂⪏⇭⇑⪆13443=⇑⪆34030","layer":1},{"info":"⇑⪆34030⇐≅=⇑⪆212023","layer":0}]}
{"id":900,"expression_no_base_symbol":"(($4108$⋐⇩⊬)⋷$2441$∣$2714$)⫣⪄⊒(∥⊫$6535$↳∿⪆$5158$)⊉≛↸((≉$1160$)⫏⊷)≦↸($2449$∼$4396$↬($4896$⇯⋐))","expression":"((⇑⪆112413⋐⇩⊬)⋷⇑⪆34231∣⇑⪆41324)⫣⪄⊒(∥⊫⇑⪆202120↳∿⪆⇑⪆131113)⊉≛↸((≉⇑⪆14120)⫏⊷)≦↸(⇑⪆34244∼⇑⪆120041↬(⇑⪆124041⇯⋐))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7887,"operation_count":13,"complexity_ratio":606.6923076923077,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":4108,"base":5}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2441,"base":5},"right_expr":{"type":"numeric_atoms","value":2714,"base":5}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":6535,"base":5},"right_expr":{"type":"numeric_atoms","value":5158,"base":5}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1160,"base":5}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2449,"base":5},"right_expr":{"type":"numeric_atoms","value":4396,"base":5}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":4896,"base":5}}}}},"used_operators":["DZ8iAZOCBD","RabNbG55vr","23Mk6UjR3U","JuuLT1NoCs","PPChnnnBFF","P8v4zCKN1o","Cw4SuJJGHO","RygbFNSyEJ","dcShxvzhyw","e1ybzncUwg","B5M0gjZbta","DyGG3AbaNP","LkLIoiE525"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q"],"result":"⇑⪆2240","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4108","layer":4},{"info":"compute unary expreesion, input=4108, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=4108","layer":3},{"info":"number node, value=2441","layer":4},{"info":"number node, value=2714","layer":4},{"info":"compute binary expreesion, left_input=2441, right_input=2714, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2441","layer":3},{"info":"compute binary expreesion, left_input=4108, right_input=2441, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=774","layer":2},{"info":"number node, value=6535","layer":4},{"info":"number node, value=5158","layer":4},{"info":"compute binary expreesion, left_input=6535, right_input=5158, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=774, 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":"number node, value=1160","layer":4},{"info":"compute unary expreesion, input=1160, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1691","layer":3},{"info":"compute unary expreesion, input=1691, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":2},{"info":"number node, value=2449","layer":4},{"info":"number node, value=4396","layer":4},{"info":"compute binary expreesion, left_input=2449, right_input=4396, 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=4896","layer":4},{"info":"compute unary expreesion, input=4896, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=15566","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15566, 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=-820, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=320","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆112413⋐⇩⊬)⋷⇑⪆34231∣⇑⪆41324)⫣⪄⊒(∥⊫⇑⪆202120↳∿⪆⇑⪆131113)⊉≛↸((≉⇑⪆14120)⫏⊷)≦↸(⇑⪆34244∼⇑⪆120041↬(⇑⪆124041⇯⋐))=⇑⪆2240","reverse_text":"⇑⪆2240=((⇑⪆112413⋐⇩⊬)⋷⇑⪆34231∣⇑⪆41324)⫣⪄⊒(∥⊫⇑⪆202120↳∿⪆⇑⪆131113)⊉≛↸((≉⇑⪆14120)⫏⊷)≦↸(⇑⪆34244∼⇑⪆120041↬(⇑⪆124041⇯⋐))","cot":[{"info":"⇑⪆112413⋐⇩⊬=⇑⪆112413","layer":3},{"info":"⇑⪆34231∣⇑⪆41324=⇑⪆34231","layer":3},{"info":"⇑⪆112413⋷⇑⪆34231=⇑⪆11044","layer":2},{"info":"⇑⪆202120↳∿⪆⇑⪆131113=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"⇑⪆11044⫣⪄⊒NaN=⇑⪆1120","layer":1},{"info":"≉⇑⪆14120=⇑⪆23231","layer":3},{"info":"⇑⪆23231⫏⊷=⇑⪆-11240","layer":2},{"info":"⇑⪆34244∼⇑⪆120041=NaN","layer":3},{"info":"⇑⪆124041⇯⋐=⇑⪆444231","layer":3},{"info":"NaN↬⇑⪆444231=NaN","layer":2},{"info":"⇑⪆-11240≦↸NaN=NaN","layer":1},{"info":"⇑⪆1120⊉≛↸NaN=⇑⪆2240","layer":0}]}
{"id":901,"expression_no_base_symbol":"($1331$≎⪠$4492$⩨($2774$⋷$1510$))⪍↜⋙(⇙⪊($1623$≎⊠⪸$2930$))⨴∎","expression":"(⇑⪆20311≎⪠⇑⪆120432⩨(⇑⪆42044⋷⇑⪆22020))⪍↜⋙(⇙⪊(⇑⪆22443≎⊠⪸⇑⪆43210))⨴∎","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19446,"operation_count":7,"complexity_ratio":2778.0,"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":1331,"base":5},"right_expr":{"type":"numeric_atoms","value":4492,"base":5}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2774,"base":5},"right_expr":{"type":"numeric_atoms","value":1510,"base":5}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1623,"base":5},"right_expr":{"type":"numeric_atoms","value":2930,"base":5}}}}},"used_operators":["CpSg5vQTgA","L05ObWFQCd","2DlMacCsIx","aNhz54LH3e","23Mk6UjR3U","pB6Fcnrjim","bJkvcejdHO"],"dependent_operators":["Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1331","layer":4},{"info":"number node, value=4492","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=4492, 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=2774","layer":4},{"info":"number node, value=1510","layer":4},{"info":"compute binary expreesion, left_input=2774, right_input=1510, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=246","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=246, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"number node, value=1623","layer":4},{"info":"number node, value=2930","layer":4},{"info":"compute binary expreesion, left_input=1623, right_input=2930, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=419884","layer":3},{"info":"compute unary expreesion, input=419884, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆20311≎⪠⇑⪆120432⩨(⇑⪆42044⋷⇑⪆22020))⪍↜⋙(⇙⪊(⇑⪆22443≎⊠⪸⇑⪆43210))⨴∎=⇑⪆0","reverse_text":"⇑⪆0=(⇑⪆20311≎⪠⇑⪆120432⩨(⇑⪆42044⋷⇑⪆22020))⪍↜⋙(⇙⪊(⇑⪆22443≎⊠⪸⇑⪆43210))⨴∎","cot":[{"info":"⇑⪆20311≎⪠⇑⪆120432=⇑⪆1111213","layer":3},{"info":"⇑⪆42044⋷⇑⪆22020=⇑⪆1441","layer":3},{"info":"⇑⪆1111213⩨⇑⪆1441=⇑⪆0","layer":2},{"info":"⇑⪆22443≎⊠⪸⇑⪆43210=⇑⪆101414014","layer":3},{"info":"⇙⪊⇑⪆101414014=⇑⪆0","layer":2},{"info":"⇑⪆0⪍↜⋙⇑⪆0=⇑⪆0","layer":1},{"info":"⇑⪆0⨴∎=⇑⪆0","layer":0}]}
{"id":902,"expression_no_base_symbol":"∂⩏⊆(↞≼($3548$≎⪠$3871$⊍))","expression":"∂⩏⊆(↞≼(⇑⪆103143≎⪠⇑⪆110441⊍))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":19140,"operation_count":4,"complexity_ratio":4785.0,"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":3548,"base":5},"right_expr":{"type":"numeric_atoms","value":3871,"base":5}}}}},"used_operators":["8WDwsbhb0R","DE7zCoGJt9","3nqY3DE9mg","aNhz54LH3e"],"dependent_operators":["14qkJME0vr","eLAdDNolq6","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"⇑⪆-322213233","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3548","layer":4},{"info":"number node, value=3871","layer":4},{"info":"compute binary expreesion, left_input=3548, right_input=3871, 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 = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=56994","layer":2},{"info":"compute unary expreesion, input=56994, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=455538","layer":1},{"info":"compute unary expreesion, input=455538, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-1366693","layer":0}],"base":5,"result_base":5,"text":"∂⩏⊆(↞≼(⇑⪆103143≎⪠⇑⪆110441⊍))=⇑⪆-322213233","reverse_text":"⇑⪆-322213233=∂⩏⊆(↞≼(⇑⪆103143≎⪠⇑⪆110441⊍))","cot":[{"info":"⇑⪆103143≎⪠⇑⪆110441=⇑⪆1111213","layer":3},{"info":"⇑⪆1111213⊍=⇑⪆3310434","layer":2},{"info":"↞≼⇑⪆3310434=⇑⪆104034123","layer":1},{"info":"∂⩏⊆⇑⪆104034123=⇑⪆-322213233","layer":0}]}
{"id":903,"expression_no_base_symbol":"↣≠⋷((⪡⇡≛$1086$)⊔$2141$∴$1508$)↳∿⪆(∨∊⋏($2026$⪟⇏$5499$))","expression":"↣≠⋷((⪡⇡≛⇑⪆13321)⊔⇑⪆32031∴⇑⪆22013)↳∿⪆(∨∊⋏(⇑⪆31101⪟⇏⇑⪆133444))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2711,"operation_count":7,"complexity_ratio":387.2857142857143,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1086,"base":5}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2141,"base":5},"right_expr":{"type":"numeric_atoms","value":1508,"base":5}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2026,"base":5},"right_expr":{"type":"numeric_atoms","value":5499,"base":5}}}}},"used_operators":["Asc51vEJeQ","Cw4SuJJGHO","E4l6HwMY31","qL4PrbW1Dq","hrf7POJlIJ","R5aXW34M0v","GODebY97qR"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1086","layer":4},{"info":"compute unary expreesion, input=1086, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1086","layer":3},{"info":"number node, value=2141","layer":4},{"info":"number node, value=1508","layer":4},{"info":"compute binary expreesion, left_input=2141, right_input=1508, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5930","layer":3},{"info":"compute binary expreesion, left_input=-1086, right_input=5930, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=20424","layer":2},{"info":"number node, value=2026","layer":4},{"info":"number node, value=5499","layer":4},{"info":"compute binary expreesion, left_input=2026, right_input=5499, 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 = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-9009","layer":2},{"info":"compute binary expreesion, left_input=20424, right_input=-9009, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"↣≠⋷((⪡⇡≛⇑⪆13321)⊔⇑⪆32031∴⇑⪆22013)↳∿⪆(∨∊⋏(⇑⪆31101⪟⇏⇑⪆133444))=NaN","reverse_text":"NaN=↣≠⋷((⪡⇡≛⇑⪆13321)⊔⇑⪆32031∴⇑⪆22013)↳∿⪆(∨∊⋏(⇑⪆31101⪟⇏⇑⪆133444))","cot":[{"info":"⪡⇡≛⇑⪆13321=⇑⪆-13321","layer":3},{"info":"⇑⪆32031∴⇑⪆22013=⇑⪆142210","layer":3},{"info":"⇑⪆-13321⊔⇑⪆142210=⇑⪆1123144","layer":2},{"info":"⇑⪆31101⪟⇏⇑⪆133444=⇑⪆-1","layer":3},{"info":"∨∊⋏⇑⪆-1=⇑⪆-242014","layer":2},{"info":"⇑⪆1123144↳∿⪆⇑⪆-242014=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":904,"expression_no_base_symbol":"(($1101$⫠)⪄$2148$↬$7621$)⩍⋽⫝̸($4613$⨐⩸⫘$4960$⋭≵$1790$⩌⋺$1211$)⨓(⪹($6820$∑⇟⊟$3264$)⪥($2160$≎⊠⪸$1892$))","expression":"((⇑⪆13401⫠)⪄⇑⪆32043↬⇑⪆220441)⩍⋽⫝̸(⇑⪆121423⨐⩸⫘⇑⪆124320⋭≵⇑⪆24130⩌⋺⇑⪆14321)⨓(⪹(⇑⪆204240∑⇟⊟⇑⪆101024)⪥(⇑⪆32120≎⊠⪸⇑⪆30032))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15819,"operation_count":12,"complexity_ratio":1318.25,"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":1101,"base":5}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2148,"base":5},"right_expr":{"type":"numeric_atoms","value":7621,"base":5}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4613,"base":5},"right_expr":{"type":"numeric_atoms","value":4960,"base":5}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1790,"base":5},"right_expr":{"type":"numeric_atoms","value":1211,"base":5}}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6820,"base":5},"right_expr":{"type":"numeric_atoms","value":3264,"base":5}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2160,"base":5},"right_expr":{"type":"numeric_atoms","value":1892,"base":5}}}}},"used_operators":["3ViojmjbAp","BiWNJpBvwn","SUmda5xLS4","6SnOT2rOjz","B5M0gjZbta","jBncVCNhdl","fu6greOZ01","g7Hmc5v1ko","USyYr0JgAa","QbnwKVWMIQ","U7g4x0WXJJ","bJkvcejdHO"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Ph9nP6C5qx","xUOZtlo3hN","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","rGHVDoGpnC","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","3ViojmjbAp","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","tifHPKVTfV","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1101","layer":4},{"info":"compute unary expreesion, input=1101, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=2148","layer":4},{"info":"number node, value=7621","layer":4},{"info":"compute binary expreesion, left_input=2148, right_input=7621, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"number node, value=4613","layer":4},{"info":"number node, value=4960","layer":4},{"info":"compute binary expreesion, left_input=4613, right_input=4960, 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=1790","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=1211, 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=-3122","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3122, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-276","layer":1},{"info":"number node, value=6820","layer":4},{"info":"number node, value=3264","layer":4},{"info":"compute binary expreesion, left_input=6820, right_input=3264, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2160","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=1892, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=558967","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=558967, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', 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=-276, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆13401⫠)⪄⇑⪆32043↬⇑⪆220441)⩍⋽⫝̸(⇑⪆121423⨐⩸⫘⇑⪆124320⋭≵⇑⪆24130⩌⋺⇑⪆14321)⨓(⪹(⇑⪆204240∑⇟⊟⇑⪆101024)⪥(⇑⪆32120≎⊠⪸⇑⪆30032))=NaN","reverse_text":"NaN=((⇑⪆13401⫠)⪄⇑⪆32043↬⇑⪆220441)⩍⋽⫝̸(⇑⪆121423⨐⩸⫘⇑⪆124320⋭≵⇑⪆24130⩌⋺⇑⪆14321)⨓(⪹(⇑⪆204240∑⇟⊟⇑⪆101024)⪥(⇑⪆32120≎⊠⪸⇑⪆30032))","cot":[{"info":"⇑⪆13401⫠=⇑⪆0","layer":3},{"info":"⇑⪆32043↬⇑⪆220441=NaN","layer":3},{"info":"⇑⪆0⪄NaN=NaN","layer":2},{"info":"⇑⪆121423⨐⩸⫘⇑⪆124320=NaN","layer":3},{"info":"⇑⪆24130⩌⋺⇑⪆14321=⇑⪆-44442","layer":3},{"info":"NaN⋭≵⇑⪆-44442=⇑⪆232","layer":2},{"info":"NaN⩍⋽⫝̸⇑⪆232=⇑⪆-2101","layer":1},{"info":"⇑⪆204240∑⇟⊟⇑⪆101024=NaN","layer":3},{"info":"⇑⪆32120≎⊠⪸⇑⪆30032=⇑⪆120341332","layer":3},{"info":"NaN⪥⇑⪆120341332=NaN","layer":2},{"info":"⪹NaN=NaN","layer":1},{"info":"⇑⪆-2101⨓NaN=NaN","layer":0}]}
{"id":905,"expression_no_base_symbol":"↓⇌((($3008$⋻⩜⩜$1175$)⫩)⪨≂(⋃($2156$⇴$6787$)))","expression":"↓⇌(((⇑⪆44013⋻⩜⩜⇑⪆14200)⫩)⪨≂(⋃(⇑⪆32111⇴⇑⪆204122)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":22495,"operation_count":6,"complexity_ratio":3749.1666666666665,"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":3008,"base":5},"right_expr":{"type":"numeric_atoms","value":1175,"base":5}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2156,"base":5},"right_expr":{"type":"numeric_atoms","value":6787,"base":5}}}}},"used_operators":["PxpmPgHHJV","sdazOOVcIp","6aG7x05OhS","oDCm7WA9JY","3mBM5G4a3l","4JB6nKBMSY"],"dependent_operators":["23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","g55IO6H4Gj","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3008","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=3008, right_input=1175, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=6016","layer":3},{"info":"compute unary expreesion, input=6016, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=2156","layer":4},{"info":"number node, value=6787","layer":4},{"info":"compute binary expreesion, left_input=2156, right_input=6787, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=26124","layer":3},{"info":"compute unary expreesion, input=26124, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=52350","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=52350, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"↓⇌(((⇑⪆44013⋻⩜⩜⇑⪆14200)⫩)⪨≂(⋃(⇑⪆32111⇴⇑⪆204122)))=NaN","reverse_text":"NaN=↓⇌(((⇑⪆44013⋻⩜⩜⇑⪆14200)⫩)⪨≂(⋃(⇑⪆32111⇴⇑⪆204122)))","cot":[{"info":"⇑⪆44013⋻⩜⩜⇑⪆14200=⇑⪆143031","layer":3},{"info":"⇑⪆143031⫩=NaN","layer":2},{"info":"⇑⪆32111⇴⇑⪆204122=⇑⪆1313444","layer":3},{"info":"⋃⇑⪆1313444=⇑⪆3133400","layer":2},{"info":"NaN⪨≂⇑⪆3133400=NaN","layer":1},{"info":"↓⇌NaN=NaN","layer":0}]}
{"id":906,"expression_no_base_symbol":"(($3763$⊴$2554$)⨼⩣(⊀$4111$)≀⫉(⩰$1724$⩷∴$4052$))≚⊃≕(($1201$⊴⇁⪶)⇷($2037$⪨⊡$7877$))∓⋝($1651$⨥⫆$3095$)⪃⊛⇣($1038$⊋$6827$)","expression":"((⇑⪆110023⊴⇑⪆40204)⨼⩣(⊀⇑⪆112421)≀⫉(⩰⇑⪆23344⩷∴⇑⪆112202))≚⊃≕((⇑⪆14301⊴⇁⪶)⇷(⇑⪆31122⪨⊡⇑⪆223002))∓⋝(⇑⪆23101⨥⫆⇑⪆44340)⪃⊛⇣(⇑⪆13123⊋⇑⪆204302)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":283207,"operation_count":14,"complexity_ratio":20229.071428571428,"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":3763,"base":5},"right_expr":{"type":"numeric_atoms","value":2554,"base":5}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":4111,"base":5}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1724,"base":5},"right_expr":{"type":"numeric_atoms","value":4052,"base":5}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":1201,"base":5}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2037,"base":5},"right_expr":{"type":"numeric_atoms","value":7877,"base":5}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1651,"base":5},"right_expr":{"type":"numeric_atoms","value":3095,"base":5}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1038,"base":5},"right_expr":{"type":"numeric_atoms","value":6827,"base":5}}}}},"used_operators":["Bmrmz2XGnR","oZj3VtZNQx","JxwMv5le6e","Nsiff2A1zJ","oPMjh9089D","WkeUrDK8WX","9FxExcQeMw","PoHhknlbAi","mp7IySMOzn","oo9mF6JIpo","kuIXHzHcAH","rrgAzCduG9","yXekIHxTD4","W4tP9CfskL"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","rysDP5nf3Z","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⇑⪆232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3763","layer":4},{"info":"number node, value=2554","layer":4},{"info":"compute binary expreesion, left_input=3763, right_input=2554, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4111","layer":4},{"info":"compute unary expreesion, input=4111, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=16182","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16182, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=1724","layer":4},{"info":"number node, value=4052","layer":4},{"info":"compute binary expreesion, left_input=1724, right_input=4052, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4688","layer":3},{"info":"compute unary expreesion, input=-4688, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=8376","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8376, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":1},{"info":"number node, value=1201","layer":4},{"info":"compute unary expreesion, input=1201, 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=18744","layer":3},{"info":"number node, value=2037","layer":4},{"info":"number node, value=7877","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=7877, 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=18744, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"number node, value=1651","layer":4},{"info":"number node, value=3095","layer":4},{"info":"compute binary expreesion, left_input=1651, right_input=3095, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=6066","layer":3},{"info":"number node, value=1038","layer":4},{"info":"number node, value=6827","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=6827, 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=-310339000","layer":3},{"info":"compute binary expreesion, left_input=6066, right_input=-310339000, 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=0, right_input=1234, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=121, 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":0}],"base":5,"result_base":5,"text":"((⇑⪆110023⊴⇑⪆40204)⨼⩣(⊀⇑⪆112421)≀⫉(⩰⇑⪆23344⩷∴⇑⪆112202))≚⊃≕((⇑⪆14301⊴⇁⪶)⇷(⇑⪆31122⪨⊡⇑⪆223002))∓⋝(⇑⪆23101⨥⫆⇑⪆44340)⪃⊛⇣(⇑⪆13123⊋⇑⪆204302)=⇑⪆232","reverse_text":"⇑⪆232=((⇑⪆110023⊴⇑⪆40204)⨼⩣(⊀⇑⪆112421)≀⫉(⩰⇑⪆23344⩷∴⇑⪆112202))≚⊃≕((⇑⪆14301⊴⇁⪶)⇷(⇑⪆31122⪨⊡⇑⪆223002))∓⋝(⇑⪆23101⨥⫆⇑⪆44340)⪃⊛⇣(⇑⪆13123⊋⇑⪆204302)","cot":[{"info":"⇑⪆110023⊴⇑⪆40204=NaN","layer":3},{"info":"⊀⇑⪆112421=⇑⪆1004212","layer":3},{"info":"NaN⨼⩣⇑⪆1004212=NaN","layer":2},{"info":"⇑⪆23344⩷∴⇑⪆112202=⇑⪆-122223","layer":3},{"info":"⩰⇑⪆-122223=⇑⪆232001","layer":2},{"info":"NaN≀⫉⇑⪆232001=NaN","layer":1},{"info":"⇑⪆14301⊴⇁⪶=⇑⪆1044434","layer":3},{"info":"⇑⪆31122⪨⊡⇑⪆223002=⇑⪆0","layer":3},{"info":"⇑⪆1044434⇷⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆23101⨥⫆⇑⪆44340=⇑⪆143231","layer":3},{"info":"⇑⪆13123⊋⇑⪆204302=⇑⪆-1113421322000","layer":3},{"info":"⇑⪆143231⪃⊛⇣⇑⪆-1113421322000=⇑⪆14414","layer":2},{"info":"⇑⪆0∓⋝⇑⪆14414=⇑⪆441","layer":1},{"info":"NaN≚⊃≕⇑⪆441=⇑⪆232","layer":0}]}
{"id":907,"expression_no_base_symbol":"(($1099$⪡$1264$)↓$1690$⇤$4472$)≌(⊆⋠($4093$∌↝$5996$))⨪↰⇹(∂(⇋⊎⋝($3237$⫁⪎$1392$)))","expression":"((⇑⪆13344⪡⇑⪆20024)↓⇑⪆23230⇤⇑⪆120342)≌(⊆⋠(⇑⪆112333∌↝⇑⪆142441))⨪↰⇹(∂(⇋⊎⋝(⇑⪆100422⫁⪎⇑⪆21032)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":527839,"operation_count":10,"complexity_ratio":52783.9,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1099,"base":5},"right_expr":{"type":"numeric_atoms","value":1264,"base":5}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1690,"base":5},"right_expr":{"type":"numeric_atoms","value":4472,"base":5}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":4093,"base":5},"right_expr":{"type":"numeric_atoms","value":5996,"base":5}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":3237,"base":5},"right_expr":{"type":"numeric_atoms","value":1392,"base":5}}}}},"used_operators":["tmPS8pqC7x","lyWz822IDG","Af076pWI7l","oraRL2iQuh","YSKBFp38Pu","EBhcHTkKd8","9Isq31Ruls","Uaa54Peajs","CzM2PEoXns","xRrnTEsQ6j"],"dependent_operators":["rJVOvQCfKK","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⇑⪆313414","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1099","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=1264, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1690","layer":4},{"info":"number node, value=4472","layer":4},{"info":"compute binary expreesion, left_input=1690, right_input=4472, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-27962","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-27962, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"number node, value=4093","layer":4},{"info":"number node, value=5996","layer":4},{"info":"compute binary expreesion, left_input=4093, right_input=5996, 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 = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=348","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=348, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=10484","layer":1},{"info":"number node, value=3237","layer":4},{"info":"number node, value=1392","layer":4},{"info":"compute binary expreesion, left_input=3237, right_input=1392, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1845","layer":3},{"info":"compute unary expreesion, input=1845, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', 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":"compute binary expreesion, left_input=10484, 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=10484","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆13344⪡⇑⪆20024)↓⇑⪆23230⇤⇑⪆120342)≌(⊆⋠(⇑⪆112333∌↝⇑⪆142441))⨪↰⇹(∂(⇋⊎⋝(⇑⪆100422⫁⪎⇑⪆21032)))=⇑⪆313414","reverse_text":"⇑⪆313414=((⇑⪆13344⪡⇑⪆20024)↓⇑⪆23230⇤⇑⪆120342)≌(⊆⋠(⇑⪆112333∌↝⇑⪆142441))⨪↰⇹(∂(⇋⊎⋝(⇑⪆100422⫁⪎⇑⪆21032)))","cot":[{"info":"⇑⪆13344⪡⇑⪆20024=⇑⪆412","layer":3},{"info":"⇑⪆23230⇤⇑⪆120342=⇑⪆-1343322","layer":3},{"info":"⇑⪆412↓⇑⪆-1343322=⇑⪆-1014","layer":2},{"info":"⇑⪆112333∌↝⇑⪆142441=⇑⪆0","layer":3},{"info":"⊆⋠⇑⪆0=⇑⪆2343","layer":2},{"info":"⇑⪆-1014≌⇑⪆2343=⇑⪆313414","layer":1},{"info":"⇑⪆100422⫁⪎⇑⪆21032=⇑⪆24340","layer":3},{"info":"⇋⊎⋝⇑⪆24340=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⇑⪆313414⨪↰⇹NaN=⇑⪆313414","layer":0}]}
{"id":908,"expression_no_base_symbol":"(∤(⫯($4442$⩇∃⫛$1586$)))⪣⫩","expression":"(∤(⫯(⇑⪆120232⩇∃⫛⇑⪆22321)))⪣⫩","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":71,"operation_count":4,"complexity_ratio":17.75,"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":4442,"base":5},"right_expr":{"type":"numeric_atoms","value":1586,"base":5}}}}},"used_operators":["iuk5sVOGFA","k2HlF1dBQh","H6BK1Evt7c","1aApVXNlOP"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"⇑⪆12123","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4442","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=4442, right_input=1586, 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=-2383","layer":3},{"info":"compute unary expreesion, input=-2383, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=75910","layer":2},{"info":"compute unary expreesion, input=75910, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', 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":5,"result_base":5,"text":"(∤(⫯(⇑⪆120232⩇∃⫛⇑⪆22321)))⪣⫩=⇑⪆12123","reverse_text":"⇑⪆12123=(∤(⫯(⇑⪆120232⩇∃⫛⇑⪆22321)))⪣⫩","cot":[{"info":"⇑⪆120232⩇∃⫛⇑⪆22321=⇑⪆-34013","layer":3},{"info":"⫯⇑⪆-34013=⇑⪆4412120","layer":2},{"info":"∤⇑⪆4412120=⇑⪆14","layer":1},{"info":"⇑⪆14⪣⫩=⇑⪆12123","layer":0}]}
{"id":909,"expression_no_base_symbol":"((⫵↿$1202$)≃$1337$⩍⋽⫝̸$2177$⪇≇⋚$7632$⋹⋡⊁$4020$↢($3795$∷))⪬((-($3374$+$3428$))∷($3506$∣$4609$)⇤($2289$⫌⩉⩟$2699$))","expression":"((⫵↿⇑⪆14302)≃⇑⪆20322⩍⋽⫝̸⇑⪆32202⪇≇⋚⇑⪆221012⋹⋡⊁⇑⪆112040↢(⇑⪆110140∷))⪬((-(⇑⪆101444+⇑⪆102203))∷(⇑⪆103011∣⇑⪆121414)⇤(⇑⪆33124⫌⩉⩟⇑⪆41244))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":76608,"operation_count":14,"complexity_ratio":5472.0,"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":1202,"base":5}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1337,"base":5},"right_expr":{"type":"numeric_atoms","value":2177,"base":5}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":7632,"base":5},"right_expr":{"type":"numeric_atoms","value":4020,"base":5}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":3795,"base":5}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3374,"base":5},"right_expr":{"type":"numeric_atoms","value":3428,"base":5}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3506,"base":5},"right_expr":{"type":"numeric_atoms","value":4609,"base":5}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2289,"base":5},"right_expr":{"type":"numeric_atoms","value":2699,"base":5}}}}},"used_operators":["Ez1Nq5fNfI","3sJ7IOPOlU","YbVcJGFEVW","ivGwdmUAux","BiWNJpBvwn","WR6HLWljOP","As8RqfVLgs","nFAOW8KTqp","D3AQDKkPcf","t8gj7n24qd","W4YGzv6Whe","YSKBFp38Pu","PPChnnnBFF","XIIwhv8d0m"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","Ph9nP6C5qx","xUOZtlo3hN","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"⇑⪆14414","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1202","layer":4},{"info":"compute unary expreesion, input=1202, 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=1337","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=1337, right_input=2177, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1231","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=1231, 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=-588","layer":2},{"info":"number node, value=7632","layer":4},{"info":"number node, value=4020","layer":4},{"info":"compute binary expreesion, left_input=7632, right_input=4020, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4770","layer":3},{"info":"number node, value=3795","layer":4},{"info":"compute unary expreesion, input=3795, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=11385","layer":3},{"info":"compute binary expreesion, left_input=4770, right_input=11385, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=4286","layer":2},{"info":"compute binary expreesion, left_input=-588, right_input=4286, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=3374","layer":4},{"info":"number node, value=3428","layer":4},{"info":"compute binary expreesion, left_input=3374, right_input=3428, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6802","layer":3},{"info":"compute unary expreesion, input=6802, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6802","layer":2},{"info":"number node, value=3506","layer":4},{"info":"number node, value=4609","layer":4},{"info":"compute binary expreesion, left_input=3506, right_input=4609, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3506","layer":3},{"info":"number node, value=2289","layer":4},{"info":"number node, value=2699","layer":4},{"info":"compute binary expreesion, left_input=2289, right_input=2699, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=3506, right_input=-50, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-14432","layer":2},{"info":"compute binary expreesion, left_input=-6802, right_input=-14432, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=6008","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6008, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":5,"result_base":5,"text":"((⫵↿⇑⪆14302)≃⇑⪆20322⩍⋽⫝̸⇑⪆32202⪇≇⋚⇑⪆221012⋹⋡⊁⇑⪆112040↢(⇑⪆110140∷))⪬((-(⇑⪆101444+⇑⪆102203))∷(⇑⪆103011∣⇑⪆121414)⇤(⇑⪆33124⫌⩉⩟⇑⪆41244))=⇑⪆14414","reverse_text":"⇑⪆14414=((⫵↿⇑⪆14302)≃⇑⪆20322⩍⋽⫝̸⇑⪆32202⪇≇⋚⇑⪆221012⋹⋡⊁⇑⪆112040↢(⇑⪆110140∷))⪬((-(⇑⪆101444+⇑⪆102203))∷(⇑⪆103011∣⇑⪆121414)⇤(⇑⪆33124⫌⩉⩟⇑⪆41244))","cot":[{"info":"⫵↿⇑⪆14302=⇑⪆1022","layer":3},{"info":"⇑⪆20322⩍⋽⫝̸⇑⪆32202=⇑⪆14411","layer":3},{"info":"⇑⪆1022≃⇑⪆14411=⇑⪆-4323","layer":2},{"info":"⇑⪆221012⋹⋡⊁⇑⪆112040=⇑⪆123040","layer":3},{"info":"⇑⪆110140∷=⇑⪆331020","layer":3},{"info":"⇑⪆123040↢⇑⪆331020=⇑⪆114121","layer":2},{"info":"⇑⪆-4323⪇≇⋚⇑⪆114121=⇑⪆0","layer":1},{"info":"⇑⪆101444+⇑⪆102203=⇑⪆204202","layer":3},{"info":"-⇑⪆204202=⇑⪆-204202","layer":2},{"info":"⇑⪆103011∣⇑⪆121414=⇑⪆103011","layer":3},{"info":"⇑⪆33124⫌⩉⩟⇑⪆41244=⇑⪆-200","layer":3},{"info":"⇑⪆103011⇤⇑⪆-200=⇑⪆-430212","layer":2},{"info":"⇑⪆-204202∷⇑⪆-430212=⇑⪆143013","layer":1},{"info":"⇑⪆0⪬⇑⪆143013=⇑⪆14414","layer":0}]}
{"id":910,"expression_no_base_symbol":"($1593$≬⇓$1003$⊅)⩵∡($3537$≳⇉$2863$⨳⩥⨓($1210$⇗⋫))⋻⩜⩜(($3165$+$2781$)⫲≸⪮($1034$⫰⋱$2714$))⪭(⪸$5370$⫘$3373$)","expression":"(⇑⪆22333≬⇓⇑⪆13003⊅)⩵∡(⇑⪆103122≳⇉⇑⪆42423⨳⩥⨓(⇑⪆14320⇗⋫))⋻⩜⩜((⇑⪆100130+⇑⪆42111)⫲≸⪮(⇑⪆13114⫰⋱⇑⪆41324))⪭(⪸⇑⪆132440⫘⇑⪆101443)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":109093404,"operation_count":13,"complexity_ratio":8391800.307692308,"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":1593,"base":5},"right_expr":{"type":"numeric_atoms","value":1003,"base":5}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3537,"base":5},"right_expr":{"type":"numeric_atoms","value":2863,"base":5}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":1210,"base":5}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3165,"base":5},"right_expr":{"type":"numeric_atoms","value":2781,"base":5}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1034,"base":5},"right_expr":{"type":"numeric_atoms","value":2714,"base":5}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":5370,"base":5},"right_expr":{"type":"numeric_atoms","value":3373,"base":5}}}}},"used_operators":["oDCm7WA9JY","Y7wcNGrDQJ","7p6YLioM7f","jWTQ2TZYIH","nCS4ZIUYfx","V0kx6qeWkN","hpqmaQFPrd","j9kHMeSvPp","P3lXMJvFrc","W4YGzv6Whe","6o9Blt3TJ6","86A5ENbKR9","48vC8HMD2b"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","NTOWxs364D","glklzrTFfD","tifHPKVTfV","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","W4YGzv6Whe","rysDP5nf3Z","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rxpJgHHUmx","COABgblf1C","xUOZtlo3hN","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1593","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=1593, right_input=1003, 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 = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=16947","layer":2},{"info":"number node, value=3537","layer":4},{"info":"number node, value=2863","layer":4},{"info":"compute binary expreesion, left_input=3537, right_input=2863, 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=1210","layer":4},{"info":"compute unary expreesion, input=1210, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=16947, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"number node, value=3165","layer":4},{"info":"number node, value=2781","layer":4},{"info":"compute binary expreesion, left_input=3165, right_input=2781, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5946","layer":3},{"info":"number node, value=1034","layer":4},{"info":"number node, value=2714","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=2714, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1001","layer":3},{"info":"compute binary expreesion, left_input=5946, right_input=-1001, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5946","layer":2},{"info":"number node, value=5370","layer":4},{"info":"number node, value=3373","layer":4},{"info":"compute binary expreesion, left_input=5370, right_input=3373, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=6319525","layer":3},{"info":"compute unary expreesion, input=6319525, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-107431716","layer":2},{"info":"compute binary expreesion, left_input=5946, right_input=-107431716, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5, 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":5,"result_base":5,"text":"(⇑⪆22333≬⇓⇑⪆13003⊅)⩵∡(⇑⪆103122≳⇉⇑⪆42423⨳⩥⨓(⇑⪆14320⇗⋫))⋻⩜⩜((⇑⪆100130+⇑⪆42111)⫲≸⪮(⇑⪆13114⫰⋱⇑⪆41324))⪭(⪸⇑⪆132440⫘⇑⪆101443)=NaN","reverse_text":"NaN=(⇑⪆22333≬⇓⇑⪆13003⊅)⩵∡(⇑⪆103122≳⇉⇑⪆42423⨳⩥⨓(⇑⪆14320⇗⋫))⋻⩜⩜((⇑⪆100130+⇑⪆42111)⫲≸⪮(⇑⪆13114⫰⋱⇑⪆41324))⪭(⪸⇑⪆132440⫘⇑⪆101443)","cot":[{"info":"⇑⪆22333≬⇓⇑⪆13003=⇑⪆-42","layer":3},{"info":"⇑⪆-42⊅=⇑⪆1020242","layer":2},{"info":"⇑⪆103122≳⇉⇑⪆42423=NaN","layer":3},{"info":"⇑⪆14320⇗⋫=NaN","layer":3},{"info":"NaN⨳⩥⨓NaN=NaN","layer":2},{"info":"⇑⪆1020242⩵∡NaN=NaN","layer":1},{"info":"⇑⪆100130+⇑⪆42111=⇑⪆142241","layer":3},{"info":"⇑⪆13114⫰⋱⇑⪆41324=⇑⪆-13001","layer":3},{"info":"⇑⪆142241⫲≸⪮⇑⪆-13001=⇑⪆142241","layer":2},{"info":"⇑⪆132440⫘⇑⪆101443=⇑⪆3104211100","layer":3},{"info":"⪸⇑⪆3104211100=⇑⪆-210000303331","layer":2},{"info":"⇑⪆142241⪭⇑⪆-210000303331=⇑⪆10","layer":1},{"info":"NaN⋻⩜⩜⇑⪆10=NaN","layer":0}]}
{"id":911,"expression_no_base_symbol":"$2033$↓$2074$≧⫂∧($3699$⫏⊷)⋝⋈⪟($3132$⫢⨠$2820$)⇴($3762$⪡$2052$)⇮⋭($1916$⊉≛↸$3935$+(⨝⨆$6741$))⪄$2227$⫘$5049$≀⫉(⊑$8781$)","expression":"⇑⪆31113↓⇑⪆31244≧⫂∧(⇑⪆104244⫏⊷)⋝⋈⪟(⇑⪆100012⫢⨠⇑⪆42240)⇴(⇑⪆110022⪡⇑⪆31202)⇮⋭(⇑⪆30131⊉≛↸⇑⪆111220+(⨝⨆⇑⪆203431))⪄⇑⪆32402⫘⇑⪆130144≀⫉(⊑⇑⪆240111)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":43849,"operation_count":15,"complexity_ratio":2923.266666666667,"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":2033,"base":5},"right_expr":{"type":"numeric_atoms","value":2074,"base":5}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":3699,"base":5}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3132,"base":5},"right_expr":{"type":"numeric_atoms","value":2820,"base":5}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3762,"base":5},"right_expr":{"type":"numeric_atoms","value":2052,"base":5}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1916,"base":5},"right_expr":{"type":"numeric_atoms","value":3935,"base":5}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":6741,"base":5}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2227,"base":5},"right_expr":{"type":"numeric_atoms","value":5049,"base":5}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":8781,"base":5}}}}},"used_operators":["vkpjKywKVM","2DDjHMKMc0","Ph9nP6C5qx","Af076pWI7l","dcShxvzhyw","4JB6nKBMSY","xlXykHWxX1","oraRL2iQuh","SUmda5xLS4","W4YGzv6Whe","DZ8iAZOCBD","bQ67fsrMVf","oZj3VtZNQx","48vC8HMD2b","IkUmn0D7oy"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","sdazOOVcIp","NTOWxs364D","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl"],"result":"⇑⪆232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2033","layer":4},{"info":"number node, value=2074","layer":4},{"info":"compute binary expreesion, left_input=2033, right_input=2074, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=3699","layer":4},{"info":"compute unary expreesion, input=3699, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-820, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=686","layer":2},{"info":"number node, value=3132","layer":4},{"info":"number node, value=2820","layer":4},{"info":"compute binary expreesion, left_input=3132, right_input=2820, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=3762","layer":4},{"info":"number node, value=2052","layer":4},{"info":"compute binary expreesion, left_input=3762, right_input=2052, 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=160, right_input=107, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=788","layer":2},{"info":"compute binary expreesion, left_input=686, right_input=788, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=686","layer":1},{"info":"number node, value=1916","layer":4},{"info":"number node, value=3935","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=3935, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3832","layer":3},{"info":"number node, value=6741","layer":4},{"info":"compute unary expreesion, input=6741, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=6532","layer":3},{"info":"compute binary expreesion, left_input=3832, right_input=6532, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10364","layer":2},{"info":"number node, value=2227","layer":4},{"info":"number node, value=5049","layer":4},{"info":"compute binary expreesion, left_input=2227, right_input=5049, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2623357","layer":3},{"info":"number node, value=8781","layer":4},{"info":"compute unary expreesion, input=8781, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=2623357, right_input=192, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=10364, right_input=2822, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1541249","layer":1},{"info":"compute binary expreesion, left_input=686, right_input=-1541249, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":5,"result_base":5,"text":"⇑⪆31113↓⇑⪆31244≧⫂∧(⇑⪆104244⫏⊷)⋝⋈⪟(⇑⪆100012⫢⨠⇑⪆42240)⇴(⇑⪆110022⪡⇑⪆31202)⇮⋭(⇑⪆30131⊉≛↸⇑⪆111220+(⨝⨆⇑⪆203431))⪄⇑⪆32402⫘⇑⪆130144≀⫉(⊑⇑⪆240111)=⇑⪆232","reverse_text":"⇑⪆232=⇑⪆31113↓⇑⪆31244≧⫂∧(⇑⪆104244⫏⊷)⋝⋈⪟(⇑⪆100012⫢⨠⇑⪆42240)⇴(⇑⪆110022⪡⇑⪆31202)⇮⋭(⇑⪆30131⊉≛↸⇑⪆111220+(⨝⨆⇑⪆203431))⪄⇑⪆32402⫘⇑⪆130144≀⫉(⊑⇑⪆240111)","cot":[{"info":"⇑⪆31113↓⇑⪆31244=⇑⪆-1014","layer":3},{"info":"⇑⪆104244⫏⊷=⇑⪆-11240","layer":3},{"info":"⇑⪆-1014≧⫂∧⇑⪆-11240=⇑⪆10221","layer":2},{"info":"⇑⪆100012⫢⨠⇑⪆42240=⇑⪆1120","layer":3},{"info":"⇑⪆110022⪡⇑⪆31202=⇑⪆412","layer":3},{"info":"⇑⪆1120⇴⇑⪆412=⇑⪆11123","layer":2},{"info":"⇑⪆10221⋝⋈⪟⇑⪆11123=⇑⪆10221","layer":1},{"info":"⇑⪆30131⊉≛↸⇑⪆111220=⇑⪆110312","layer":3},{"info":"⨝⨆⇑⪆203431=⇑⪆202112","layer":3},{"info":"⇑⪆110312+⇑⪆202112=⇑⪆312424","layer":2},{"info":"⇑⪆32402⫘⇑⪆130144=⇑⪆1132421412","layer":3},{"info":"⊑⇑⪆240111=⇑⪆1232","layer":3},{"info":"⇑⪆1132421412≀⫉⇑⪆1232=⇑⪆42242","layer":2},{"info":"⇑⪆312424⪄⇑⪆42242=⇑⪆-343304444","layer":1},{"info":"⇑⪆10221⇮⋭⇑⪆-343304444=⇑⪆232","layer":0}]}
{"id":912,"expression_no_base_symbol":"((⪨⨬($1526$≥⨤⩑$4928$))⩷∴(⪨⨬($4509$⨎$3151$)))⩇∃⫛(($3717$≬⋮$7310$)⨴∎)⨑⩅≇($7674$⪶≀⋏$6545$⪶≀⋏($5927$⋭≵$7436$))","expression":"((⪨⨬(⇑⪆22101≥⨤⩑⇑⪆124203))⩷∴(⪨⨬(⇑⪆121014⨎⇑⪆100101)))⩇∃⫛((⇑⪆104332≬⋮⇑⪆213220)⨴∎)⨑⩅≇(⇑⪆221144⪶≀⋏⇑⪆202140⪶≀⋏(⇑⪆142202⋭≵⇑⪆214221))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":759805,"operation_count":12,"complexity_ratio":63317.083333333336,"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":5},"right_expr":{"type":"numeric_atoms","value":4928,"base":5}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4509,"base":5},"right_expr":{"type":"numeric_atoms","value":3151,"base":5}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3717,"base":5},"right_expr":{"type":"numeric_atoms","value":7310,"base":5}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":7674,"base":5},"right_expr":{"type":"numeric_atoms","value":6545,"base":5}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":5927,"base":5},"right_expr":{"type":"numeric_atoms","value":7436,"base":5}}}}},"used_operators":["1aApVXNlOP","9FxExcQeMw","5obUd6DV38","gJLn6v0xnP","rJVOvQCfKK","h92wMvzauj","CpSg5vQTgA","kbkesczE7y","zR4jO40bMj","jBncVCNhdl"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","T2fj7uvVaJ","nlCqmYiOvY","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"⇑⪆3300","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1526","layer":4},{"info":"number node, value=4928","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=4928, 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 = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"number node, value=4509","layer":4},{"info":"number node, value=3151","layer":4},{"info":"compute binary expreesion, left_input=4509, right_input=3151, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3151","layer":3},{"info":"compute unary expreesion, input=3151, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=-526, right_input=-526, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-32","layer":1},{"info":"number node, value=3717","layer":4},{"info":"number node, value=7310","layer":4},{"info":"compute binary expreesion, left_input=3717, right_input=7310, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=-871","layer":2},{"info":"number node, value=7674","layer":4},{"info":"number node, value=6545","layer":4},{"info":"compute binary expreesion, left_input=7674, right_input=6545, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-36344","layer":3},{"info":"number node, value=5927","layer":4},{"info":"number node, value=7436","layer":4},{"info":"compute binary expreesion, left_input=5927, right_input=7436, 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=-36344, 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=536","layer":2},{"info":"compute binary expreesion, left_input=-871, right_input=536, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=-32, right_input=-55, 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=450","layer":0}],"base":5,"result_base":5,"text":"((⪨⨬(⇑⪆22101≥⨤⩑⇑⪆124203))⩷∴(⪨⨬(⇑⪆121014⨎⇑⪆100101)))⩇∃⫛((⇑⪆104332≬⋮⇑⪆213220)⨴∎)⨑⩅≇(⇑⪆221144⪶≀⋏⇑⪆202140⪶≀⋏(⇑⪆142202⋭≵⇑⪆214221))=⇑⪆3300","reverse_text":"⇑⪆3300=((⪨⨬(⇑⪆22101≥⨤⩑⇑⪆124203))⩷∴(⪨⨬(⇑⪆121014⨎⇑⪆100101)))⩇∃⫛((⇑⪆104332≬⋮⇑⪆213220)⨴∎)⨑⩅≇(⇑⪆221144⪶≀⋏⇑⪆202140⪶≀⋏(⇑⪆142202⋭≵⇑⪆214221))","cot":[{"info":"⇑⪆22101≥⨤⩑⇑⪆124203=⇑⪆14414","layer":3},{"info":"⪨⨬⇑⪆14414=⇑⪆-4101","layer":2},{"info":"⇑⪆121014⨎⇑⪆100101=⇑⪆100101","layer":3},{"info":"⪨⨬⇑⪆100101=⇑⪆-4101","layer":2},{"info":"⇑⪆-4101⩷∴⇑⪆-4101=⇑⪆-112","layer":1},{"info":"⇑⪆104332≬⋮⇑⪆213220=⇑⪆11433","layer":3},{"info":"⇑⪆11433⨴∎=⇑⪆-11441","layer":2},{"info":"⇑⪆221144⪶≀⋏⇑⪆202140=⇑⪆-2130334","layer":3},{"info":"⇑⪆142202⋭≵⇑⪆214221=⇑⪆232","layer":3},{"info":"⇑⪆-2130334⪶≀⋏⇑⪆232=⇑⪆4121","layer":2},{"info":"⇑⪆-11441⨑⩅≇⇑⪆4121=⇑⪆-210","layer":1},{"info":"⇑⪆-112⩇∃⫛⇑⪆-210=⇑⪆3300","layer":0}]}
{"id":913,"expression_no_base_symbol":"(($3366$∪⫐$3883$)≹⇙⪍($3762$≬⋮$2537$)∙∹∝($3616$⪮%⊝$1117$)⩼⇪↪(≀↧⇸$3617$))⫁⪎($2758$+$4332$∽$1552$⫳≱↱$4604$)∘($6333$⫁$1242$↺($5479$∽$1819$))","expression":"((⇑⪆101431∪⫐⇑⪆111013)≹⇙⪍(⇑⪆110022≬⋮⇑⪆40122)∙∹∝(⇑⪆103431⪮%⊝⇑⪆13432)⩼⇪↪(≀↧⇸⇑⪆103432))⫁⪎(⇑⪆42013+⇑⪆114312∽⇑⪆22202⫳≱↱⇑⪆121404)∘(⇑⪆200313⫁⇑⪆14432↺(⇑⪆133404∽⇑⪆24234))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":754129,"operation_count":15,"complexity_ratio":50275.26666666667,"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":3366,"base":5},"right_expr":{"type":"numeric_atoms","value":3883,"base":5}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3762,"base":5},"right_expr":{"type":"numeric_atoms","value":2537,"base":5}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3616,"base":5},"right_expr":{"type":"numeric_atoms","value":1117,"base":5}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":3617,"base":5}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2758,"base":5},"right_expr":{"type":"numeric_atoms","value":4332,"base":5}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1552,"base":5},"right_expr":{"type":"numeric_atoms","value":4604,"base":5}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":6333,"base":5},"right_expr":{"type":"numeric_atoms","value":1242,"base":5}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":5479,"base":5},"right_expr":{"type":"numeric_atoms","value":1819,"base":5}}}}},"used_operators":["xRrnTEsQ6j","HmxsFra2vL","AHs5Up7iyr","7YooWSwCyH","kbkesczE7y","ocnLzx9CaJ","IWmyXbctLI","ljTHtUsqzn","Z5m6OM72h2","y4ImoPnbV5","W4YGzv6Whe","ZvLB05nZmT","7j4O788W3g","0ajvFaJAv0"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","dWAJyo7jo9","rJVOvQCfKK","2DDjHMKMc0","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XPYlsWDdGa","23Mk6UjR3U","eH2TOUuTDT","rysDP5nf3Z","NTOWxs364D","QMFrweE19q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3366","layer":4},{"info":"number node, value=3883","layer":4},{"info":"compute binary expreesion, left_input=3366, right_input=3883, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3366","layer":3},{"info":"number node, value=3762","layer":4},{"info":"number node, value=2537","layer":4},{"info":"compute binary expreesion, left_input=3762, right_input=2537, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=3366, right_input=868, 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=3616","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=3616, right_input=1117, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7548","layer":3},{"info":"number node, value=3617","layer":4},{"info":"compute unary expreesion, input=3617, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=7234","layer":3},{"info":"compute binary expreesion, left_input=7548, right_input=7234, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-36325","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-36325, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"number node, value=2758","layer":4},{"info":"number node, value=4332","layer":4},{"info":"compute binary expreesion, left_input=2758, right_input=4332, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7090","layer":3},{"info":"number node, value=1552","layer":4},{"info":"number node, value=4604","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=4604, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=7090, right_input=-204, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-34660","layer":2},{"info":"number node, value=6333","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=6333, right_input=1242, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=5479","layer":4},{"info":"number node, value=1819","layer":4},{"info":"compute binary expreesion, left_input=5479, right_input=1819, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-32674","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-32674, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-32674","layer":2},{"info":"compute binary expreesion, left_input=-34660, right_input=-32674, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=35040","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=35040, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆101431∪⫐⇑⪆111013)≹⇙⪍(⇑⪆110022≬⋮⇑⪆40122)∙∹∝(⇑⪆103431⪮%⊝⇑⪆13432)⩼⇪↪(≀↧⇸⇑⪆103432))⫁⪎(⇑⪆42013+⇑⪆114312∽⇑⪆22202⫳≱↱⇑⪆121404)∘(⇑⪆200313⫁⇑⪆14432↺(⇑⪆133404∽⇑⪆24234))=NaN","reverse_text":"NaN=((⇑⪆101431∪⫐⇑⪆111013)≹⇙⪍(⇑⪆110022≬⋮⇑⪆40122)∙∹∝(⇑⪆103431⪮%⊝⇑⪆13432)⩼⇪↪(≀↧⇸⇑⪆103432))⫁⪎(⇑⪆42013+⇑⪆114312∽⇑⪆22202⫳≱↱⇑⪆121404)∘(⇑⪆200313⫁⇑⪆14432↺(⇑⪆133404∽⇑⪆24234))","cot":[{"info":"⇑⪆101431∪⫐⇑⪆111013=⇑⪆101431","layer":3},{"info":"⇑⪆110022≬⋮⇑⪆40122=⇑⪆11433","layer":3},{"info":"⇑⪆101431≹⇙⪍⇑⪆11433=NaN","layer":2},{"info":"⇑⪆103431⪮%⊝⇑⪆13432=⇑⪆220143","layer":3},{"info":"≀↧⇸⇑⪆103432=⇑⪆212414","layer":3},{"info":"⇑⪆220143⩼⇪↪⇑⪆212414=⇑⪆-2130300","layer":2},{"info":"NaN∙∹∝⇑⪆-2130300=NaN","layer":1},{"info":"⇑⪆42013+⇑⪆114312=⇑⪆211330","layer":3},{"info":"⇑⪆22202⫳≱↱⇑⪆121404=⇑⪆-1304","layer":3},{"info":"⇑⪆211330∽⇑⪆-1304=⇑⪆-2102120","layer":2},{"info":"⇑⪆200313⫁⇑⪆14432=⇑⪆1120","layer":3},{"info":"⇑⪆133404∽⇑⪆24234=⇑⪆-2021144","layer":3},{"info":"⇑⪆1120↺⇑⪆-2021144=⇑⪆-2021144","layer":2},{"info":"⇑⪆-2102120∘⇑⪆-2021144=⇑⪆2110130","layer":1},{"info":"NaN⫁⪎⇑⪆2110130=NaN","layer":0}]}
{"id":914,"expression_no_base_symbol":"((($1938$⊔$1841$)⨘⋶⪀)⫲)⩘(($2569$⪶≀⋏$5193$)≌($6270$⪨≂$6676$)≭((⊈$5597$)⪁$4593$⇤$1177$))","expression":"(((⇑⪆30223⊔⇑⪆24331)⨘⋶⪀)⫲)⩘((⇑⪆40234⪶≀⋏⇑⪆131233)≌(⇑⪆200040⪨≂⇑⪆203201)≭((⊈⇑⪆134342)⪁⇑⪆121333⇤⇑⪆14202))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":541286,"operation_count":11,"complexity_ratio":49207.818181818184,"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":1938,"base":5},"right_expr":{"type":"numeric_atoms","value":1841,"base":5}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2569,"base":5},"right_expr":{"type":"numeric_atoms","value":5193,"base":5}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6270,"base":5},"right_expr":{"type":"numeric_atoms","value":6676,"base":5}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":5597,"base":5}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":4593,"base":5},"right_expr":{"type":"numeric_atoms","value":1177,"base":5}}}}},"used_operators":["cHh1gJQ2o6","9xnGDUPbC6","XVKwrhznBb","E4l6HwMY31","rxpJgHHUmx","lyWz822IDG","zR4jO40bMj","sdazOOVcIp","I7sXao9hZE","RHru8klgy8","YSKBFp38Pu"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","AHs5Up7iyr","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","12rbrZMWeM","xUOZtlo3hN","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⇑⪆1120","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1938","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=1938, right_input=1841, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=10681","layer":3},{"info":"compute unary expreesion, input=10681, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=nan","layer":1},{"info":"number node, value=2569","layer":4},{"info":"number node, value=5193","layer":4},{"info":"compute binary expreesion, left_input=2569, right_input=5193, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-18325","layer":3},{"info":"number node, value=6270","layer":4},{"info":"number node, value=6676","layer":4},{"info":"compute binary expreesion, left_input=6270, right_input=6676, 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=-710","layer":3},{"info":"compute binary expreesion, left_input=-18325, right_input=-710, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=11908","layer":2},{"info":"number node, value=5597","layer":4},{"info":"compute unary expreesion, input=5597, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-5771","layer":3},{"info":"number node, value=4593","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=4593, right_input=1177, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-26002","layer":3},{"info":"compute binary expreesion, left_input=-5771, right_input=-26002, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11908, 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":"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":5,"result_base":5,"text":"(((⇑⪆30223⊔⇑⪆24331)⨘⋶⪀)⫲)⩘((⇑⪆40234⪶≀⋏⇑⪆131233)≌(⇑⪆200040⪨≂⇑⪆203201)≭((⊈⇑⪆134342)⪁⇑⪆121333⇤⇑⪆14202))=⇑⪆1120","reverse_text":"⇑⪆1120=(((⇑⪆30223⊔⇑⪆24331)⨘⋶⪀)⫲)⩘((⇑⪆40234⪶≀⋏⇑⪆131233)≌(⇑⪆200040⪨≂⇑⪆203201)≭((⊈⇑⪆134342)⪁⇑⪆121333⇤⇑⪆14202))","cot":[{"info":"⇑⪆30223⊔⇑⪆24331=⇑⪆320211","layer":3},{"info":"⇑⪆320211⨘⋶⪀=NaN","layer":2},{"info":"NaN⫲=NaN","layer":1},{"info":"⇑⪆40234⪶≀⋏⇑⪆131233=⇑⪆-1041300","layer":3},{"info":"⇑⪆200040⪨≂⇑⪆203201=⇑⪆-10320","layer":3},{"info":"⇑⪆-1041300≌⇑⪆-10320=⇑⪆340113","layer":2},{"info":"⊈⇑⪆134342=⇑⪆-141041","layer":3},{"info":"⇑⪆121333⇤⇑⪆14202=⇑⪆-1313002","layer":3},{"info":"⇑⪆-141041⪁⇑⪆-1313002=NaN","layer":2},{"info":"⇑⪆340113≭NaN=NaN","layer":1},{"info":"NaN⩘NaN=⇑⪆1120","layer":0}]}
{"id":915,"expression_no_base_symbol":"$1548$⨽∌$1179$⋛(⊤⊝$3356$)⋳⪒(≀↧⇸$1070$⫉⨲⊜$8513$)⊜","expression":"⇑⪆22143⨽∌⇑⪆14204⋛(⊤⊝⇑⪆101411)⋳⪒(≀↧⇸⇑⪆13240⫉⨲⊜⇑⪆233023)⊜","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":383,"operation_count":7,"complexity_ratio":54.714285714285715,"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":1548,"base":5},"right_expr":{"type":"numeric_atoms","value":1179,"base":5}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":3356,"base":5}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1070,"base":5},"right_expr":{"type":"numeric_atoms","value":8513,"base":5}}}}},"used_operators":["Eev2Q7dYIw","12rbrZMWeM","YbUVn0Rbpy","9samAPKr6k","rXAclfmB4M","ljTHtUsqzn","WhqkvtTD3t"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","sdazOOVcIp","XPYlsWDdGa","23Mk6UjR3U","eewbuw0ToL","zVYPLywUTj"],"result":"⇑⪆340220401","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1548","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=1548, right_input=1179, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=3356","layer":4},{"info":"compute unary expreesion, input=3356, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=5414","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5414, 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=1070","layer":4},{"info":"number node, value=8513","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=8513, 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 = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-124197, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-248681","layer":1},{"info":"compute unary expreesion, input=-248681, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=1491976","layer":0}],"base":5,"result_base":5,"text":"⇑⪆22143⨽∌⇑⪆14204⋛(⊤⊝⇑⪆101411)⋳⪒(≀↧⇸⇑⪆13240⫉⨲⊜⇑⪆233023)⊜=⇑⪆340220401","reverse_text":"⇑⪆340220401=⇑⪆22143⨽∌⇑⪆14204⋛(⊤⊝⇑⪆101411)⋳⪒(≀↧⇸⇑⪆13240⫉⨲⊜⇑⪆233023)⊜","cot":[{"info":"⇑⪆22143⨽∌⇑⪆14204=⇑⪆0","layer":3},{"info":"⊤⊝⇑⪆101411=⇑⪆133124","layer":3},{"info":"⇑⪆0⋛⇑⪆133124=⇑⪆-12433242","layer":2},{"info":"⇑⪆13240⫉⨲⊜⇑⪆233023=⇑⪆0","layer":3},{"info":"≀↧⇸⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆-12433242⋳⪒⇑⪆0=⇑⪆-30424211","layer":1},{"info":"⇑⪆-30424211⊜=⇑⪆340220401","layer":0}]}
{"id":916,"expression_no_base_symbol":"((⊖$1627$)↪⪝)∺≝⩲(⇤←$3639$)⫁($1018$⩧⪆$1919$)≄⊠(($4794$⇚⪠)∓⋝($2255$⨭⪣$6472$)⊭↱(∂⩏⊆($3243$↯⫤)))","expression":"((⊖⇑⪆23002)↪⪝)∺≝⩲(⇤←⇑⪆104024)⫁(⇑⪆13033⩧⪆⇑⪆30134)≄⊠((⇑⪆123134⇚⪠)∓⋝(⇑⪆33010⨭⪣⇑⪆201342)⊭↱(∂⩏⊆(⇑⪆100433↯⫤)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":10875,"operation_count":13,"complexity_ratio":836.5384615384615,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1627,"base":5}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":3639,"base":5}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1018,"base":5},"right_expr":{"type":"numeric_atoms","value":1919,"base":5}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":4794,"base":5}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2255,"base":5},"right_expr":{"type":"numeric_atoms","value":6472,"base":5}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":3243,"base":5}}}}},"used_operators":["vXNesLlMH1","KPf6cnQVty","l07mrZUIn9","U6pG0PXrV3","0ajvFaJAv0","jfAgQ2OQeM","Ikt5ks8PT7","COABgblf1C","PoHhknlbAi","Loh9y4A90B","kn8WO9XteQ","8WDwsbhb0R","VwlE7vj6HS"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9HNa5Wba9A","2DDjHMKMc0","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","cHh1gJQ2o6","AHs5Up7iyr","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","eewbuw0ToL","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","14qkJME0vr","eLAdDNolq6","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx"],"result":"⇑⪆1034332","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1627","layer":4},{"info":"compute unary expreesion, input=1627, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=0","layer":2},{"info":"number node, value=3639","layer":4},{"info":"compute unary expreesion, input=3639, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-16829","layer":3},{"info":"number node, value=1018","layer":4},{"info":"number node, value=1919","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=1919, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1919","layer":3},{"info":"compute binary expreesion, left_input=-16829, right_input=-1919, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=4794","layer":4},{"info":"compute unary expreesion, input=4794, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=45964872","layer":3},{"info":"number node, value=2255","layer":4},{"info":"number node, value=6472","layer":4},{"info":"compute binary expreesion, left_input=2255, right_input=6472, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=976","layer":3},{"info":"compute binary expreesion, left_input=45964872, right_input=976, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=3243","layer":4},{"info":"compute unary expreesion, input=3243, 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 = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=484","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=484, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=839","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=839, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=18092","layer":0}],"base":5,"result_base":5,"text":"((⊖⇑⪆23002)↪⪝)∺≝⩲(⇤←⇑⪆104024)⫁(⇑⪆13033⩧⪆⇑⪆30134)≄⊠((⇑⪆123134⇚⪠)∓⋝(⇑⪆33010⨭⪣⇑⪆201342)⊭↱(∂⩏⊆(⇑⪆100433↯⫤)))=⇑⪆1034332","reverse_text":"⇑⪆1034332=((⊖⇑⪆23002)↪⪝)∺≝⩲(⇤←⇑⪆104024)⫁(⇑⪆13033⩧⪆⇑⪆30134)≄⊠((⇑⪆123134⇚⪠)∓⋝(⇑⪆33010⨭⪣⇑⪆201342)⊭↱(∂⩏⊆(⇑⪆100433↯⫤)))","cot":[{"info":"⊖⇑⪆23002=⇑⪆0","layer":3},{"info":"⇑⪆0↪⪝=⇑⪆0","layer":2},{"info":"⇤←⇑⪆104024=⇑⪆-1014304","layer":3},{"info":"⇑⪆13033⩧⪆⇑⪆30134=⇑⪆-30134","layer":3},{"info":"⇑⪆-1014304⫁⇑⪆-30134=⇑⪆1120","layer":2},{"info":"⇑⪆0∺≝⩲⇑⪆1120=⇑⪆1120","layer":1},{"info":"⇑⪆123134⇚⪠=⇑⪆43231333442","layer":3},{"info":"⇑⪆33010⨭⪣⇑⪆201342=⇑⪆12401","layer":3},{"info":"⇑⪆43231333442∓⋝⇑⪆12401=⇑⪆232","layer":2},{"info":"⇑⪆100433↯⫤=⇑⪆0","layer":3},{"info":"∂⩏⊆⇑⪆0=⇑⪆3414","layer":2},{"info":"⇑⪆232⊭↱⇑⪆3414=⇑⪆11324","layer":1},{"info":"⇑⪆1120≄⊠⇑⪆11324=⇑⪆1034332","layer":0}]}
{"id":917,"expression_no_base_symbol":"($3486$→⨶⪴$3477$⫢⨠$1369$⪢$7948$)≳⇉(($5013$∷)⩚⊴⇥$4168$⊋$2725$)⪭≯($2002$⫢⨠$2618$⋥≓≎($1310$%$3876$))⇌⫙⪟(⇾⩊⇾$7599$≁$1370$)","expression":"(⇑⪆102421→⨶⪴⇑⪆102402⫢⨠⇑⪆20434⪢⇑⪆223243)≳⇉((⇑⪆130023∷)⩚⊴⇥⇑⪆113133⊋⇑⪆41400)⪭≯(⇑⪆31002⫢⨠⇑⪆40433⋥≓≎(⇑⪆20220%⇑⪆111001))⇌⫙⪟(⇾⩊⇾⇑⪆220344≁⇑⪆20440)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11447,"operation_count":14,"complexity_ratio":817.6428571428571,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3486,"base":5},"right_expr":{"type":"numeric_atoms","value":3477,"base":5}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1369,"base":5},"right_expr":{"type":"numeric_atoms","value":7948,"base":5}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":5013,"base":5}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":4168,"base":5},"right_expr":{"type":"numeric_atoms","value":2725,"base":5}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2002,"base":5},"right_expr":{"type":"numeric_atoms","value":2618,"base":5}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1310,"base":5},"right_expr":{"type":"numeric_atoms","value":3876,"base":5}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":7599,"base":5},"right_expr":{"type":"numeric_atoms","value":1370,"base":5}}}}},"used_operators":["XAx5wpdLa6","V0kx6qeWkN","xlXykHWxX1","bF6eod5Gvf","dWAJyo7jo9","NTOWxs364D","nFAOW8KTqp","W4tP9CfskL","AFVx7xoS7T","Qy55tPpLXF","k8jYdgA6NY","bx9Z9DAK5y","8N2wDY1A35"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","8w2t5hMYqp","9FxExcQeMw","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3486","layer":4},{"info":"number node, value=3477","layer":4},{"info":"compute binary expreesion, left_input=3486, right_input=3477, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-10431","layer":3},{"info":"number node, value=1369","layer":4},{"info":"number node, value=7948","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=7948, 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=-10431, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=5013","layer":4},{"info":"compute unary expreesion, input=5013, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=15039","layer":3},{"info":"number node, value=4168","layer":4},{"info":"number node, value=2725","layer":4},{"info":"compute binary expreesion, left_input=4168, right_input=2725, 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=31353192","layer":3},{"info":"compute binary expreesion, left_input=15039, right_input=31353192, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-31368352","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-31368352, 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=2002","layer":4},{"info":"number node, value=2618","layer":4},{"info":"compute binary expreesion, left_input=2002, right_input=2618, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=1310","layer":4},{"info":"number node, value=3876","layer":4},{"info":"compute binary expreesion, left_input=1310, right_input=3876, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1310","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1310, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2493","layer":2},{"info":"number node, value=7599","layer":4},{"info":"number node, value=1370","layer":4},{"info":"compute binary expreesion, left_input=7599, right_input=1370, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=19679","layer":3},{"info":"compute unary expreesion, input=19679, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-183597","layer":2},{"info":"compute binary expreesion, left_input=2493, right_input=-183597, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=913035","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=913035, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆102421→⨶⪴⇑⪆102402⫢⨠⇑⪆20434⪢⇑⪆223243)≳⇉((⇑⪆130023∷)⩚⊴⇥⇑⪆113133⊋⇑⪆41400)⪭≯(⇑⪆31002⫢⨠⇑⪆40433⋥≓≎(⇑⪆20220%⇑⪆111001))⇌⫙⪟(⇾⩊⇾⇑⪆220344≁⇑⪆20440)=NaN","reverse_text":"NaN=(⇑⪆102421→⨶⪴⇑⪆102402⫢⨠⇑⪆20434⪢⇑⪆223243)≳⇉((⇑⪆130023∷)⩚⊴⇥⇑⪆113133⊋⇑⪆41400)⪭≯(⇑⪆31002⫢⨠⇑⪆40433⋥≓≎(⇑⪆20220%⇑⪆111001))⇌⫙⪟(⇾⩊⇾⇑⪆220344≁⇑⪆20440)","cot":[{"info":"⇑⪆102421→⨶⪴⇑⪆102402=⇑⪆-313211","layer":3},{"info":"⇑⪆20434⪢⇑⪆223243=NaN","layer":3},{"info":"⇑⪆-313211⫢⨠NaN=NaN","layer":2},{"info":"⇑⪆130023∷=⇑⪆440124","layer":3},{"info":"⇑⪆113133⊋⇑⪆41400=⇑⪆31011300232","layer":3},{"info":"⇑⪆440124⩚⊴⇥⇑⪆31011300232=⇑⪆-31012241402","layer":2},{"info":"NaN≳⇉⇑⪆-31012241402=NaN","layer":1},{"info":"⇑⪆31002⫢⨠⇑⪆40433=⇑⪆1120","layer":3},{"info":"⇑⪆20220%⇑⪆111001=⇑⪆20220","layer":3},{"info":"⇑⪆1120⋥≓≎⇑⪆20220=⇑⪆34433","layer":2},{"info":"⇑⪆220344≁⇑⪆20440=⇑⪆1112204","layer":3},{"info":"⇾⩊⇾⇑⪆1112204=⇑⪆-21333342","layer":2},{"info":"⇑⪆34433⇌⫙⪟⇑⪆-21333342=⇑⪆213204120","layer":1},{"info":"NaN⪭≯⇑⪆213204120=NaN","layer":0}]}
{"id":918,"expression_no_base_symbol":"⊄⩳↩(≻⋜($4899$⨻⩈⩔$5277$∙⊟$1499$∠↢$3824$))","expression":"⊄⩳↩(≻⋜(⇑⪆124044⨻⩈⩔⇑⪆132102∙⊟⇑⪆21444∠↢⇑⪆110244))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2085511,"operation_count":5,"complexity_ratio":417102.2,"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":4899,"base":5},"right_expr":{"type":"numeric_atoms","value":5277,"base":5}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1499,"base":5},"right_expr":{"type":"numeric_atoms","value":3824,"base":5}}}}},"used_operators":["8w2t5hMYqp","3tj9sqzovi","SxTAKzQCrw","nEsXyWgiOK","KbjG8mgYpV"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4899","layer":4},{"info":"number node, value=5277","layer":4},{"info":"compute binary expreesion, left_input=4899, right_input=5277, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=30791","layer":3},{"info":"number node, value=1499","layer":4},{"info":"number node, value=3824","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=3824, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-58450","layer":3},{"info":"compute binary expreesion, left_input=30791, right_input=-58450, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=410129","layer":2},{"info":"compute unary expreesion, input=410129, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⊄⩳↩(≻⋜(⇑⪆124044⨻⩈⩔⇑⪆132102∙⊟⇑⪆21444∠↢⇑⪆110244))=NaN","reverse_text":"NaN=⊄⩳↩(≻⋜(⇑⪆124044⨻⩈⩔⇑⪆132102∙⊟⇑⪆21444∠↢⇑⪆110244))","cot":[{"info":"⇑⪆124044⨻⩈⩔⇑⪆132102=⇑⪆1441131","layer":3},{"info":"⇑⪆21444∠↢⇑⪆110244=⇑⪆-3332300","layer":3},{"info":"⇑⪆1441131∙⊟⇑⪆-3332300=⇑⪆101111004","layer":2},{"info":"≻⋜⇑⪆101111004=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":919,"expression_no_base_symbol":"($2259$⩖⊿$1449$+⇶⊼(⫟$1049$))⨑⩅≇(⩏⊷≩$5643$∼$2995$)⊔(⪲⇎($5513$⪒$6441$)∣($1013$⫦⪉$4275$))","expression":"(⇑⪆33014⩖⊿⇑⪆21244+⇶⊼(⫟⇑⪆13144))⨑⩅≇(⩏⊷≩⇑⪆140033∼⇑⪆43440)⊔(⪲⇎(⇑⪆134023⪒⇑⪆201231)∣(⇑⪆13023⫦⪉⇑⪆114100))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":345,"operation_count":11,"complexity_ratio":31.363636363636363,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2259,"base":5},"right_expr":{"type":"numeric_atoms","value":1449,"base":5}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":1049,"base":5}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5643,"base":5},"right_expr":{"type":"numeric_atoms","value":2995,"base":5}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5513,"base":5},"right_expr":{"type":"numeric_atoms","value":6441,"base":5}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1013,"base":5},"right_expr":{"type":"numeric_atoms","value":4275,"base":5}}}}},"used_operators":["E4l6HwMY31","h92wMvzauj","TpPTUOHfaN","RZ5CV9rWsJ","z4E1FaHLuy","uOZ1tnYMDE","DyGG3AbaNP","XPYlsWDdGa","PPChnnnBFF","f6k1SAg4EE","wscyQdcy20"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","AHs5Up7iyr","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","23Mk6UjR3U","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⇑⪆24320","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2259","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=2259, right_input=1449, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=2474","layer":3},{"info":"number node, value=1049","layer":4},{"info":"compute unary expreesion, input=1049, 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=-2240","layer":3},{"info":"compute binary expreesion, left_input=2474, right_input=-2240, 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=5643","layer":4},{"info":"number node, value=2995","layer":4},{"info":"compute binary expreesion, left_input=5643, right_input=2995, 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 = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=nan","layer":2},{"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":1},{"info":"number node, value=5513","layer":4},{"info":"number node, value=6441","layer":4},{"info":"compute binary expreesion, left_input=5513, right_input=6441, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11954","layer":3},{"info":"number node, value=1013","layer":4},{"info":"number node, value=4275","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=4275, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2874","layer":3},{"info":"compute binary expreesion, left_input=-11954, right_input=2874, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-11954","layer":2},{"info":"compute unary expreesion, input=-11954, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-23908","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=-23908, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=1835","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆33014⩖⊿⇑⪆21244+⇶⊼(⫟⇑⪆13144))⨑⩅≇(⩏⊷≩⇑⪆140033∼⇑⪆43440)⊔(⪲⇎(⇑⪆134023⪒⇑⪆201231)∣(⇑⪆13023⫦⪉⇑⪆114100))=⇑⪆24320","reverse_text":"⇑⪆24320=(⇑⪆33014⩖⊿⇑⪆21244+⇶⊼(⫟⇑⪆13144))⨑⩅≇(⩏⊷≩⇑⪆140033∼⇑⪆43440)⊔(⪲⇎(⇑⪆134023⪒⇑⪆201231)∣(⇑⪆13023⫦⪉⇑⪆114100))","cot":[{"info":"⇑⪆33014⩖⊿⇑⪆21244=⇑⪆34344","layer":3},{"info":"⫟⇑⪆13144=⇑⪆-32430","layer":3},{"info":"⇑⪆34344+⇶⊼⇑⪆-32430=NaN","layer":2},{"info":"⇑⪆140033∼⇑⪆43440=NaN","layer":3},{"info":"⩏⊷≩NaN=NaN","layer":2},{"info":"NaN⨑⩅≇NaN=⇑⪆12220","layer":1},{"info":"⇑⪆134023⪒⇑⪆201231=⇑⪆-340304","layer":3},{"info":"⇑⪆13023⫦⪉⇑⪆114100=⇑⪆42444","layer":3},{"info":"⇑⪆-340304∣⇑⪆42444=⇑⪆-340304","layer":2},{"info":"⪲⇎⇑⪆-340304=⇑⪆-1231113","layer":1},{"info":"⇑⪆12220⊔⇑⪆-1231113=⇑⪆24320","layer":0}]}
{"id":920,"expression_no_base_symbol":"⨭⩧⫛(($1582$⩵∡$5567$↡⊰⫅$6792$⨻⩈⩔$5917$)≹⇙⪍(($1692$⇪⋭)⋳⪒($3482$⋅⇍$2490$)))","expression":"⨭⩧⫛((⇑⪆22312⩵∡⇑⪆134232↡⊰⫅⇑⪆204132⨻⩈⩔⇑⪆142132)≹⇙⪍((⇑⪆23232⇪⋭)⋳⪒(⇑⪆102412⋅⇍⇑⪆34430)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":643260,"operation_count":8,"complexity_ratio":80407.5,"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":1582,"base":5},"right_expr":{"type":"numeric_atoms","value":5567,"base":5}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":6792,"base":5},"right_expr":{"type":"numeric_atoms","value":5917,"base":5}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":1692,"base":5}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3482,"base":5},"right_expr":{"type":"numeric_atoms","value":2490,"base":5}}}}},"used_operators":["g21JL6JxX7","AHs5Up7iyr","VCtxkLNOzz","Y7wcNGrDQJ","nEsXyWgiOK","12rbrZMWeM","Z8Yg6dlDSp","AdZkA7nFnk"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","dWAJyo7jo9","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","NTOWxs364D","glklzrTFfD","tifHPKVTfV","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","t8gj7n24qd","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1582","layer":4},{"info":"number node, value=5567","layer":4},{"info":"compute binary expreesion, left_input=1582, right_input=5567, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=2282","layer":3},{"info":"number node, value=6792","layer":4},{"info":"number node, value=5917","layer":4},{"info":"compute binary expreesion, left_input=6792, right_input=5917, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=45935","layer":3},{"info":"compute binary expreesion, left_input=2282, right_input=45935, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=91870","layer":2},{"info":"number node, value=1692","layer":4},{"info":"compute unary expreesion, input=1692, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"number node, value=3482","layer":4},{"info":"number node, value=2490","layer":4},{"info":"compute binary expreesion, left_input=3482, right_input=2490, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=91870, 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 = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⨭⩧⫛((⇑⪆22312⩵∡⇑⪆134232↡⊰⫅⇑⪆204132⨻⩈⩔⇑⪆142132)≹⇙⪍((⇑⪆23232⇪⋭)⋳⪒(⇑⪆102412⋅⇍⇑⪆34430)))=NaN","reverse_text":"NaN=⨭⩧⫛((⇑⪆22312⩵∡⇑⪆134232↡⊰⫅⇑⪆204132⨻⩈⩔⇑⪆142132)≹⇙⪍((⇑⪆23232⇪⋭)⋳⪒(⇑⪆102412⋅⇍⇑⪆34430)))","cot":[{"info":"⇑⪆22312⩵∡⇑⪆134232=⇑⪆33112","layer":3},{"info":"⇑⪆204132⨻⩈⩔⇑⪆142132=⇑⪆2432220","layer":3},{"info":"⇑⪆33112↡⊰⫅⇑⪆2432220=⇑⪆10414440","layer":2},{"info":"⇑⪆23232⇪⋭=NaN","layer":3},{"info":"⇑⪆102412⋅⇍⇑⪆34430=⇑⪆-42","layer":3},{"info":"NaN⋳⪒⇑⪆-42=NaN","layer":2},{"info":"⇑⪆10414440≹⇙⪍NaN=NaN","layer":1},{"info":"⨭⩧⫛NaN=NaN","layer":0}]}
{"id":921,"expression_no_base_symbol":"(($7812$/$1728$)≁↽≥($4049$⪄$1145$)-($1011$≄⊠$7897$)⨥⫆(⇉-⫰$1734$))⩘⨬⇊","expression":"((⇑⪆222222/⇑⪆23403)≁↽≥(⇑⪆112144⪄⇑⪆14040)-(⇑⪆13021≄⊠⇑⪆223042)⨥⫆(⇉-⫰⇑⪆23414))⩘⨬⇊","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":601051,"operation_count":8,"complexity_ratio":75131.375,"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":7812,"base":5},"right_expr":{"type":"numeric_atoms","value":1728,"base":5}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4049,"base":5},"right_expr":{"type":"numeric_atoms","value":1145,"base":5}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1011,"base":5},"right_expr":{"type":"numeric_atoms","value":7897,"base":5}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1734,"base":5}}}}},"used_operators":["XXmTpEpWTW","rysDP5nf3Z","ncHt1X6cMc","XhwjNDsVaA","SUmda5xLS4","yXekIHxTD4","vXNesLlMH1","IGFM8TAlm9"],"dependent_operators":["rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eH2TOUuTDT","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7812","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=7812, right_input=1728, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"number node, value=4049","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=4049, right_input=1145, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-599921","layer":3},{"info":"compute binary expreesion, left_input=4, right_input=-599921, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"number node, value=1011","layer":4},{"info":"number node, value=7897","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=7897, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=131020","layer":3},{"info":"number node, value=1734","layer":4},{"info":"compute unary expreesion, input=1734, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=131020, right_input=20, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1076","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=-1076, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1272","layer":1},{"info":"compute unary expreesion, input=1272, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆222222/⇑⪆23403)≁↽≥(⇑⪆112144⪄⇑⪆14040)-(⇑⪆13021≄⊠⇑⪆223042)⨥⫆(⇉-⫰⇑⪆23414))⩘⨬⇊=NaN","reverse_text":"NaN=((⇑⪆222222/⇑⪆23403)≁↽≥(⇑⪆112144⪄⇑⪆14040)-(⇑⪆13021≄⊠⇑⪆223042)⨥⫆(⇉-⫰⇑⪆23414))⩘⨬⇊","cot":[{"info":"⇑⪆222222/⇑⪆23403=⇑⪆4","layer":3},{"info":"⇑⪆112144⪄⇑⪆14040=⇑⪆-123144141","layer":3},{"info":"⇑⪆4≁↽≥⇑⪆-123144141=⇑⪆1241","layer":2},{"info":"⇑⪆13021≄⊠⇑⪆223042=⇑⪆13143040","layer":3},{"info":"⇉-⫰⇑⪆23414=⇑⪆40","layer":3},{"info":"⇑⪆13143040⨥⫆⇑⪆40=⇑⪆-13301","layer":2},{"info":"⇑⪆1241-⇑⪆-13301=⇑⪆20042","layer":1},{"info":"⇑⪆20042⩘⨬⇊=NaN","layer":0}]}
{"id":922,"expression_no_base_symbol":"((⨈⫕(⨵≀≌$3268$))↸(⨴⫝$3335$)⩼⇪↪($1161$⩧⪆$5214$))⨎((→⩰(≸$3384$))≓∲(⨵≀≌$2034$⇴∐$1614$))","expression":"((⨈⫕(⨵≀≌⇑⪆101033))↸(⨴⫝⇑⪆101320)⩼⇪↪(⇑⪆14121⩧⪆⇑⪆131324))⨎((→⩰(≸⇑⪆102014))≓∲(⨵≀≌⇑⪆31114⇴∐⇑⪆22424))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2817,"operation_count":12,"complexity_ratio":234.75,"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":3268,"base":5}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":3335,"base":5}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1161,"base":5},"right_expr":{"type":"numeric_atoms","value":5214,"base":5}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":3384,"base":5}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2034,"base":5},"right_expr":{"type":"numeric_atoms","value":1614,"base":5}}}}},"used_operators":["rJVOvQCfKK","1eCjFl0mb9","megm06wKyl","srAu1WTS94","ocnLzx9CaJ","SVb2v531z1","Ikt5ks8PT7","s1XTVnmDOJ","o8Pngz0Tml","eOf03JbCpp","HnzytWxmAO"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","eewbuw0ToL","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3268","layer":4},{"info":"compute unary expreesion, input=3268, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9804","layer":3},{"info":"compute unary expreesion, input=-9804, 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=3335","layer":4},{"info":"compute unary expreesion, input=3335, 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=1161","layer":4},{"info":"number node, value=5214","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=5214, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-5214","layer":3},{"info":"compute binary expreesion, left_input=2828198, right_input=-5214, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=5692111","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=5692111, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-21","layer":1},{"info":"number node, value=3384","layer":4},{"info":"compute unary expreesion, input=3384, 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 = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"number node, value=2034","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=2034, right_input=1614, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥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=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":"compute binary expreesion, left_input=-21, 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":5,"result_base":5,"text":"((⨈⫕(⨵≀≌⇑⪆101033))↸(⨴⫝⇑⪆101320)⩼⇪↪(⇑⪆14121⩧⪆⇑⪆131324))⨎((→⩰(≸⇑⪆102014))≓∲(⨵≀≌⇑⪆31114⇴∐⇑⪆22424))=NaN","reverse_text":"NaN=((⨈⫕(⨵≀≌⇑⪆101033))↸(⨴⫝⇑⪆101320)⩼⇪↪(⇑⪆14121⩧⪆⇑⪆131324))⨎((→⩰(≸⇑⪆102014))≓∲(⨵≀≌⇑⪆31114⇴∐⇑⪆22424))","cot":[{"info":"⨵≀≌⇑⪆101033=⇑⪆-303204","layer":3},{"info":"⨈⫕⇑⪆-303204=⇑⪆-41","layer":2},{"info":"⨴⫝⇑⪆101320=⇑⪆1211000243","layer":3},{"info":"⇑⪆14121⩧⪆⇑⪆131324=⇑⪆-131324","layer":3},{"info":"⇑⪆1211000243⩼⇪↪⇑⪆-131324=⇑⪆2424121421","layer":2},{"info":"⇑⪆-41↸⇑⪆2424121421=⇑⪆-41","layer":1},{"info":"≸⇑⪆102014=⇑⪆213","layer":3},{"info":"→⩰⇑⪆213=NaN","layer":2},{"info":"⇑⪆31114⇴∐⇑⪆22424=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"NaN≓∲NaN=NaN","layer":1},{"info":"⇑⪆-41⨎NaN=NaN","layer":0}]}
{"id":923,"expression_no_base_symbol":"(↞≼(⇵⪽($1115$≥⨤⩑$1550$)))≒∊(∨∊⋏((⊊≼∋$1127$)⪨⊡$1349$≧⫂∧$1953$))","expression":"(↞≼(⇵⪽(⇑⪆13430≥⨤⩑⇑⪆22200)))≒∊(∨∊⋏((⊊≼∋⇑⪆14002)⪨⊡⇑⪆20344≧⫂∧⇑⪆30303))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1289,"operation_count":8,"complexity_ratio":161.125,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1115,"base":5},"right_expr":{"type":"numeric_atoms","value":1550,"base":5}}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1127,"base":5}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1349,"base":5},"right_expr":{"type":"numeric_atoms","value":1953,"base":5}}}}},"used_operators":["5KTvxBwnZo","DE7zCoGJt9","ZGCBLdVRRX","gJLn6v0xnP","R5aXW34M0v","kuIXHzHcAH","FWz7pXsQhA","Ph9nP6C5qx"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","U7g4x0WXJJ","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","B5M0gjZbta","jCPkEVoL5K","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1115","layer":4},{"info":"number node, value=1550","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=1550, 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 = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"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":1},{"info":"number node, value=1127","layer":4},{"info":"compute unary expreesion, input=1127, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=1349","layer":4},{"info":"number node, value=1953","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=1953, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1480","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=1480, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-8941","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-8941, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(↞≼(⇵⪽(⇑⪆13430≥⨤⩑⇑⪆22200)))≒∊(∨∊⋏((⊊≼∋⇑⪆14002)⪨⊡⇑⪆20344≧⫂∧⇑⪆30303))=NaN","reverse_text":"NaN=(↞≼(⇵⪽(⇑⪆13430≥⨤⩑⇑⪆22200)))≒∊(∨∊⋏((⊊≼∋⇑⪆14002)⪨⊡⇑⪆20344≧⫂∧⇑⪆30303))","cot":[{"info":"⇑⪆13430≥⨤⩑⇑⪆22200=⇑⪆14414","layer":3},{"info":"⇵⪽⇑⪆14414=NaN","layer":2},{"info":"↞≼NaN=NaN","layer":1},{"info":"⊊≼∋⇑⪆14002=⇑⪆-3242","layer":3},{"info":"⇑⪆20344≧⫂∧⇑⪆30303=⇑⪆21410","layer":3},{"info":"⇑⪆-3242⪨⊡⇑⪆21410=⇑⪆0","layer":2},{"info":"∨∊⋏⇑⪆0=⇑⪆-241231","layer":1},{"info":"NaN≒∊⇑⪆-241231=NaN","layer":0}]}
{"id":924,"expression_no_base_symbol":"($1950$⪥$5370$⪶≀⋏($3074$+⇶⊼$3090$))⊢($3108$⪃⊛⇣$6540$∖(⫛⫱⨽$3993$))≚⊃≕($3359$∀⇚≩$5361$⪄(↴⪽⋼$9432$))⋥⋵⩄((≻⋜$1896$)⩵∡($3750$⫲))","expression":"(⇑⪆30300⪥⇑⪆132440⪶≀⋏(⇑⪆44244+⇶⊼⇑⪆44330))⊢(⇑⪆44413⪃⊛⇣⇑⪆202130∖(⫛⫱⨽⇑⪆111433))≚⊃≕(⇑⪆101414∀⇚≩⇑⪆132421⪄(↴⪽⋼⇑⪆300212))⋥⋵⩄((≻⋜⇑⪆30041)⩵∡(⇑⪆110000⫲))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":39469,"operation_count":15,"complexity_ratio":2631.266666666667,"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":1950,"base":5},"right_expr":{"type":"numeric_atoms","value":5370,"base":5}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3074,"base":5},"right_expr":{"type":"numeric_atoms","value":3090,"base":5}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3108,"base":5},"right_expr":{"type":"numeric_atoms","value":6540,"base":5}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3993,"base":5}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3359,"base":5},"right_expr":{"type":"numeric_atoms","value":5361,"base":5}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":9432,"base":5}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1896,"base":5}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":3750,"base":5}}}}},"used_operators":["Bmrmz2XGnR","5twsqlHp2o","zR4jO40bMj","QbnwKVWMIQ","TpPTUOHfaN","tXD093vOjl","rrgAzCduG9","DlLNRPXxWL","7t3wd0Fuz7","SUmda5xLS4","LRNGc0VcxI","5TUYCnJO6w","Y7wcNGrDQJ","3tj9sqzovi","9xnGDUPbC6"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","AHs5Up7iyr","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rGHVDoGpnC","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","X99M06cbEe","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","NTOWxs364D","glklzrTFfD","tifHPKVTfV","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=1950","layer":4},{"info":"number node, value=5370","layer":4},{"info":"compute binary expreesion, left_input=1950, right_input=5370, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=12452","layer":3},{"info":"number node, value=3074","layer":4},{"info":"number node, value=3090","layer":4},{"info":"compute binary expreesion, left_input=3074, right_input=3090, 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=12452, 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=3108","layer":4},{"info":"number node, value=6540","layer":4},{"info":"compute binary expreesion, left_input=3108, right_input=6540, 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=3993","layer":4},{"info":"compute unary expreesion, input=3993, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1234, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":1},{"info":"number node, value=3359","layer":4},{"info":"number node, value=5361","layer":4},{"info":"compute binary expreesion, left_input=3359, right_input=5361, 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=9432","layer":4},{"info":"compute unary expreesion, input=9432, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=9432","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9432, 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=1896","layer":4},{"info":"compute unary expreesion, input=1896, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=3750","layer":4},{"info":"compute unary expreesion, input=3750, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=3477","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3477, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆30300⪥⇑⪆132440⪶≀⋏(⇑⪆44244+⇶⊼⇑⪆44330))⊢(⇑⪆44413⪃⊛⇣⇑⪆202130∖(⫛⫱⨽⇑⪆111433))≚⊃≕(⇑⪆101414∀⇚≩⇑⪆132421⪄(↴⪽⋼⇑⪆300212))⋥⋵⩄((≻⋜⇑⪆30041)⩵∡(⇑⪆110000⫲))=NaN","reverse_text":"NaN=(⇑⪆30300⪥⇑⪆132440⪶≀⋏(⇑⪆44244+⇶⊼⇑⪆44330))⊢(⇑⪆44413⪃⊛⇣⇑⪆202130∖(⫛⫱⨽⇑⪆111433))≚⊃≕(⇑⪆101414∀⇚≩⇑⪆132421⪄(↴⪽⋼⇑⪆300212))⋥⋵⩄((≻⋜⇑⪆30041)⩵∡(⇑⪆110000⫲))","cot":[{"info":"⇑⪆30300⪥⇑⪆132440=⇑⪆344302","layer":3},{"info":"⇑⪆44244+⇶⊼⇑⪆44330=NaN","layer":3},{"info":"⇑⪆344302⪶≀⋏NaN=NaN","layer":2},{"info":"⇑⪆44413⪃⊛⇣⇑⪆202130=⇑⪆14414","layer":3},{"info":"⫛⫱⨽⇑⪆111433=⇑⪆0","layer":3},{"info":"⇑⪆14414∖⇑⪆0=⇑⪆0","layer":2},{"info":"NaN⊢⇑⪆0=NaN","layer":1},{"info":"⇑⪆101414∀⇚≩⇑⪆132421=NaN","layer":3},{"info":"↴⪽⋼⇑⪆300212=⇑⪆300212","layer":3},{"info":"NaN⪄⇑⪆300212=⇑⪆111404","layer":2},{"info":"≻⋜⇑⪆30041=NaN","layer":3},{"info":"⇑⪆110000⫲=⇑⪆102402","layer":3},{"info":"NaN⩵∡⇑⪆102402=NaN","layer":2},{"info":"⇑⪆111404⋥⋵⩄NaN=NaN","layer":1},{"info":"NaN≚⊃≕NaN=NaN","layer":0}]}
{"id":925,"expression_no_base_symbol":"($1122$⪝$4038$↢($6710$≚⊃≕$1169$)⪠⩆⊳)⫭","expression":"(⇑⪆13442⪝⇑⪆112123↢(⇑⪆203320≚⊃≕⇑⪆14134)⪠⩆⊳)⫭","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":463,"operation_count":5,"complexity_ratio":92.6,"tree":{"type":"unary","operator":"⫭","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1122,"base":5},"right_expr":{"type":"numeric_atoms","value":4038,"base":5}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":6710,"base":5},"right_expr":{"type":"numeric_atoms","value":1169,"base":5}}}}},"used_operators":["t4WUHVGj7f","JLbD19bQDL","WR6HLWljOP","wicAB68Tmb","Bmrmz2XGnR"],"dependent_operators":["NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"⇑⪆1431","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1122","layer":4},{"info":"number node, value=4038","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=4038, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=6710","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=6710, right_input=1169, 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=237, right_input=67, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":2},{"info":"compute unary expreesion, input=-484, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=241","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆13442⪝⇑⪆112123↢(⇑⪆203320≚⊃≕⇑⪆14134)⪠⩆⊳)⫭=⇑⪆1431","reverse_text":"⇑⪆1431=(⇑⪆13442⪝⇑⪆112123↢(⇑⪆203320≚⊃≕⇑⪆14134)⪠⩆⊳)⫭","cot":[{"info":"⇑⪆13442⪝⇑⪆112123=⇑⪆1422","layer":3},{"info":"⇑⪆203320≚⊃≕⇑⪆14134=⇑⪆232","layer":3},{"info":"⇑⪆1422↢⇑⪆232=⇑⪆-3414","layer":2},{"info":"⇑⪆-3414⪠⩆⊳=⇑⪆0","layer":1},{"info":"⇑⪆0⫭=⇑⪆1431","layer":0}]}
{"id":926,"expression_no_base_symbol":"⊿(($6133$⊭↱$1779$)⩘⨬⇊)⪡(($1053$⩤)↡⊰⫅($1583$⨑≵⋬$7513$))","expression":"⊿((⇑⪆144013⊭↱⇑⪆24104)⩘⨬⇊)⪡((⇑⪆13203⩤)↡⊰⫅(⇑⪆22313⨑≵⋬⇑⪆220023))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":622123,"operation_count":7,"complexity_ratio":88874.71428571429,"tree":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6133,"base":5},"right_expr":{"type":"numeric_atoms","value":1779,"base":5}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1053,"base":5}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1583,"base":5},"right_expr":{"type":"numeric_atoms","value":7513,"base":5}}}}},"used_operators":["DO4fhlbJSI","oraRL2iQuh","XXmTpEpWTW","COABgblf1C","VCtxkLNOzz","Z2TMIBDE3Q","XnXgA4xnOs"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⇑⪆-134123","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6133","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=6133, right_input=1779, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8703","layer":3},{"info":"compute unary expreesion, input=-8703, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=-116","layer":2},{"info":"number node, value=1053","layer":4},{"info":"compute unary expreesion, input=1053, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1053","layer":3},{"info":"number node, value=1583","layer":4},{"info":"number node, value=7513","layer":4},{"info":"compute binary expreesion, left_input=1583, right_input=7513, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-43297","layer":3},{"info":"compute binary expreesion, left_input=-1053, right_input=-43297, 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=-116, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=1200","layer":1},{"info":"compute unary expreesion, input=1200, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-5538","layer":0}],"base":5,"result_base":5,"text":"⊿((⇑⪆144013⊭↱⇑⪆24104)⩘⨬⇊)⪡((⇑⪆13203⩤)↡⊰⫅(⇑⪆22313⨑≵⋬⇑⪆220023))=⇑⪆-134123","reverse_text":"⇑⪆-134123=⊿((⇑⪆144013⊭↱⇑⪆24104)⩘⨬⇊)⪡((⇑⪆13203⩤)↡⊰⫅(⇑⪆22313⨑≵⋬⇑⪆220023))","cot":[{"info":"⇑⪆144013⊭↱⇑⪆24104=⇑⪆-234303","layer":3},{"info":"⇑⪆-234303⩘⨬⇊=⇑⪆-431","layer":2},{"info":"⇑⪆13203⩤=⇑⪆-13203","layer":3},{"info":"⇑⪆22313⨑≵⋬⇑⪆220023=⇑⪆-2341142","layer":3},{"info":"⇑⪆-13203↡⊰⫅⇑⪆-2341142=NaN","layer":2},{"info":"⇑⪆-431⪡NaN=⇑⪆14300","layer":1},{"info":"⊿⇑⪆14300=⇑⪆-134123","layer":0}]}
{"id":927,"expression_no_base_symbol":"($4815$⪭≯$2301$)⨼⩣($1408$⪕$6300$)⩌⋺(↽≂(⪫⨮⊛$2015$))⫚↹⊑((⊬↢$1893$)⊋≦⊧$2911$⨽∌$4692$)⨸(($1137$⫥∨⫟$1122$)⨓$5900$⨚⇆$1381$)","expression":"(⇑⪆123230⪭≯⇑⪆33201)⨼⩣(⇑⪆21113⪕⇑⪆200200)⩌⋺(↽≂(⪫⨮⊛⇑⪆31030))⫚↹⊑((⊬↢⇑⪆30033)⊋≦⊧⇑⪆43121⨽∌⇑⪆122232)⨸((⇑⪆14022⫥∨⫟⇑⪆13442)⨓⇑⪆142100⨚⇆⇑⪆21011)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":1255007,"operation_count":14,"complexity_ratio":89643.35714285714,"tree":{"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":5},"right_expr":{"type":"numeric_atoms","value":2301,"base":5}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1408,"base":5},"right_expr":{"type":"numeric_atoms","value":6300,"base":5}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":2015,"base":5}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1893,"base":5}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2911,"base":5},"right_expr":{"type":"numeric_atoms","value":4692,"base":5}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1137,"base":5},"right_expr":{"type":"numeric_atoms","value":1122,"base":5}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":5900,"base":5},"right_expr":{"type":"numeric_atoms","value":1381,"base":5}}}}},"used_operators":["dfKe02y8D2","g7Hmc5v1ko","JxwMv5le6e","XAx5wpdLa6","umQnsF7QlU","u6S6b8DprG","w5FWba1tyO","KmoU8R5UQR","oRDoc9rAEX","WPoGxAaPR1","9samAPKr6k","3ViojmjbAp","KYD54nUTWz","lwHaAYXP2r"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"⇑⪆-3242","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=4815","layer":4},{"info":"number node, value=2301","layer":4},{"info":"compute binary expreesion, left_input=4815, right_input=2301, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=1408","layer":4},{"info":"number node, value=6300","layer":4},{"info":"compute binary expreesion, left_input=1408, right_input=6300, 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 = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=2015","layer":4},{"info":"compute unary expreesion, input=2015, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, 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":1},{"info":"number node, value=1893","layer":4},{"info":"compute unary expreesion, input=1893, 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=2911","layer":4},{"info":"number node, value=4692","layer":4},{"info":"compute binary expreesion, left_input=2911, right_input=4692, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=0, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=240","layer":2},{"info":"number node, value=1137","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=1122, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=5900","layer":4},{"info":"number node, value=1381","layer":4},{"info":"compute binary expreesion, left_input=5900, right_input=1381, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=240, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=480","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=480, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆123230⪭≯⇑⪆33201)⨼⩣(⇑⪆21113⪕⇑⪆200200)⩌⋺(↽≂(⪫⨮⊛⇑⪆31030))⫚↹⊑((⊬↢⇑⪆30033)⊋≦⊧⇑⪆43121⨽∌⇑⪆122232)⨸((⇑⪆14022⫥∨⫟⇑⪆13442)⨓⇑⪆142100⨚⇆⇑⪆21011)=⇑⪆-3242","reverse_text":"⇑⪆-3242=(⇑⪆123230⪭≯⇑⪆33201)⨼⩣(⇑⪆21113⪕⇑⪆200200)⩌⋺(↽≂(⪫⨮⊛⇑⪆31030))⫚↹⊑((⊬↢⇑⪆30033)⊋≦⊧⇑⪆43121⨽∌⇑⪆122232)⨸((⇑⪆14022⫥∨⫟⇑⪆13442)⨓⇑⪆142100⨚⇆⇑⪆21011)","cot":[{"info":"⇑⪆123230⪭≯⇑⪆33201=NaN","layer":3},{"info":"⇑⪆21113⪕⇑⪆200200=⇑⪆-210","layer":3},{"info":"NaN⨼⩣⇑⪆-210=NaN","layer":2},{"info":"⪫⨮⊛⇑⪆31030=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"NaN⩌⋺NaN=NaN","layer":1},{"info":"⊬↢⇑⪆30033=⇑⪆1333","layer":3},{"info":"⇑⪆43121⨽∌⇑⪆122232=⇑⪆0","layer":3},{"info":"⇑⪆1333⊋≦⊧⇑⪆0=⇑⪆1430","layer":2},{"info":"⇑⪆14022⫥∨⫟⇑⪆13442=NaN","layer":3},{"info":"⇑⪆142100⨚⇆⇑⪆21011=NaN","layer":3},{"info":"NaN⨓NaN=NaN","layer":2},{"info":"⇑⪆1430⨸NaN=⇑⪆3410","layer":1},{"info":"NaN⫚↹⊑⇑⪆3410=⇑⪆-3242","layer":0}]}
{"id":928,"expression_no_base_symbol":"($2156$∴≳≥)≁↽≥($1366$⫚↹⊑$4128$)⫁⪎($1215$⪄$2104$)⨔⇊($4798$⩍⋽⫝̸$5084$)⨐⩸⫘($1420$⪍↜⋙$5914$)⩘($1528$≥⨤⩑$2317$)⩒⫫((⨑⩽⪐$1013$)⩒⫫$3143$∳⫺$1531$)","expression":"(⇑⪆32111∴≳≥)≁↽≥(⇑⪆20431⫚↹⊑⇑⪆113003)⫁⪎(⇑⪆14330⪄⇑⪆31404)⨔⇊(⇑⪆123143⩍⋽⫝̸⇑⪆130314)⨐⩸⫘(⇑⪆21140⪍↜⋙⇑⪆142124)⩘(⇑⪆22103≥⨤⩑⇑⪆33232)⩒⫫((⨑⩽⪐⇑⪆13023)⩒⫫⇑⪆100033∳⫺⇑⪆22111)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":80975,"operation_count":15,"complexity_ratio":5398.333333333333,"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":2156,"base":5}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1366,"base":5},"right_expr":{"type":"numeric_atoms","value":4128,"base":5}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1215,"base":5},"right_expr":{"type":"numeric_atoms","value":2104,"base":5}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4798,"base":5},"right_expr":{"type":"numeric_atoms","value":5084,"base":5}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1420,"base":5},"right_expr":{"type":"numeric_atoms","value":5914,"base":5}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1528,"base":5},"right_expr":{"type":"numeric_atoms","value":2317,"base":5}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1013,"base":5}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3143,"base":5},"right_expr":{"type":"numeric_atoms","value":1531,"base":5}}}}},"used_operators":["fu6greOZ01","xRrnTEsQ6j","ncHt1X6cMc","a3N2hFLK0J","dfKe02y8D2","JclMnS0uGI","SUmda5xLS4","BiWNJpBvwn","KFSx94NKJn","cHh1gJQ2o6","L05ObWFQCd","gJLn6v0xnP","AF7qkfDlqP","AzXXKTstlj"],"dependent_operators":["3ViojmjbAp","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","oWn0xqSxBt","3Oe9XWJUTD","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Ph9nP6C5qx","xUOZtlo3hN","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"⇑⪆-1024","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2156","layer":4},{"info":"compute unary expreesion, input=2156, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=8624","layer":3},{"info":"number node, value=1366","layer":4},{"info":"number node, value=4128","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=4128, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=8624, right_input=-447, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"number node, value=1215","layer":4},{"info":"number node, value=2104","layer":4},{"info":"compute binary expreesion, left_input=1215, right_input=2104, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-184325","layer":3},{"info":"number node, value=4798","layer":4},{"info":"number node, value=5084","layer":4},{"info":"compute binary expreesion, left_input=4798, right_input=5084, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4138","layer":3},{"info":"compute binary expreesion, left_input=-184325, right_input=4138, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4138","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=4138, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-3942","layer":1},{"info":"number node, value=1420","layer":4},{"info":"number node, value=5914","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=5914, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-19711","layer":3},{"info":"number node, value=1528","layer":4},{"info":"number node, value=2317","layer":4},{"info":"compute binary expreesion, left_input=1528, right_input=2317, 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=-19711, right_input=1234, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=1013","layer":4},{"info":"compute unary expreesion, input=1013, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-740","layer":3},{"info":"number node, value=3143","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=3143, right_input=1531, 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=-740, right_input=-260, 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=160, right_input=160, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=-142","layer":1},{"info":"compute binary expreesion, left_input=-3942, right_input=-142, 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=-139","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆32111∴≳≥)≁↽≥(⇑⪆20431⫚↹⊑⇑⪆113003)⫁⪎(⇑⪆14330⪄⇑⪆31404)⨔⇊(⇑⪆123143⩍⋽⫝̸⇑⪆130314)⨐⩸⫘(⇑⪆21140⪍↜⋙⇑⪆142124)⩘(⇑⪆22103≥⨤⩑⇑⪆33232)⩒⫫((⨑⩽⪐⇑⪆13023)⩒⫫⇑⪆100033∳⫺⇑⪆22111)=⇑⪆-1024","reverse_text":"⇑⪆-1024=(⇑⪆32111∴≳≥)≁↽≥(⇑⪆20431⫚↹⊑⇑⪆113003)⫁⪎(⇑⪆14330⪄⇑⪆31404)⨔⇊(⇑⪆123143⩍⋽⫝̸⇑⪆130314)⨐⩸⫘(⇑⪆21140⪍↜⋙⇑⪆142124)⩘(⇑⪆22103≥⨤⩑⇑⪆33232)⩒⫫((⨑⩽⪐⇑⪆13023)⩒⫫⇑⪆100033∳⫺⇑⪆22111)","cot":[{"info":"⇑⪆32111∴≳≥=⇑⪆233444","layer":3},{"info":"⇑⪆20431⫚↹⊑⇑⪆113003=⇑⪆-3242","layer":3},{"info":"⇑⪆233444≁↽≥⇑⪆-3242=⇑⪆1241","layer":2},{"info":"⇑⪆14330⪄⇑⪆31404=⇑⪆-21344300","layer":3},{"info":"⇑⪆123143⩍⋽⫝̸⇑⪆130314=⇑⪆113023","layer":3},{"info":"⇑⪆-21344300⨔⇊⇑⪆113023=⇑⪆113023","layer":2},{"info":"⇑⪆1241⫁⪎⇑⪆113023=⇑⪆-111232","layer":1},{"info":"⇑⪆21140⪍↜⋙⇑⪆142124=⇑⪆-1112321","layer":3},{"info":"⇑⪆22103≥⨤⩑⇑⪆33232=⇑⪆14414","layer":3},{"info":"⇑⪆-1112321⩘⇑⪆14414=⇑⪆1120","layer":2},{"info":"⨑⩽⪐⇑⪆13023=⇑⪆-10430","layer":3},{"info":"⇑⪆100033∳⫺⇑⪆22111=⇑⪆-2020","layer":3},{"info":"⇑⪆-10430⩒⫫⇑⪆-2020=⇑⪆1120","layer":2},{"info":"⇑⪆1120⩒⫫⇑⪆1120=⇑⪆-1032","layer":1},{"info":"⇑⪆-111232⨐⩸⫘⇑⪆-1032=⇑⪆-1024","layer":0}]}
{"id":929,"expression_no_base_symbol":"(⫖→(⊆⋠$2072$)↬($4439$⪄$2303$))⩣⫁∢(⨣⨃⇪((⇺⋃$3450$)⊵↤))","expression":"(⫖→(⊆⋠⇑⪆31242)↬(⇑⪆120224⪄⇑⪆33203))⩣⫁∢(⨣⨃⇪((⇺⋃⇑⪆102300)⊵↤))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":662703,"operation_count":8,"complexity_ratio":82837.875,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":2072,"base":5}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4439,"base":5},"right_expr":{"type":"numeric_atoms","value":2303,"base":5}}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":3450,"base":5}}}}},"used_operators":["JDUIKTTSIa","U4ylXWHChL","B5M0gjZbta","EBhcHTkKd8","SUmda5xLS4","AcOhelriW5","7IPrd9c3lf","E5v5B3UAjG"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","rGHVDoGpnC","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"⇑⪆-1233","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2072","layer":4},{"info":"compute unary expreesion, input=2072, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=4439","layer":4},{"info":"number node, value=2303","layer":4},{"info":"compute binary expreesion, left_input=4439, right_input=2303, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-662273","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-662273, 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=-662273","layer":2},{"info":"compute unary expreesion, input=-662273, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"number node, value=3450","layer":4},{"info":"compute unary expreesion, input=3450, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=1405, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-193","layer":0}],"base":5,"result_base":5,"text":"(⫖→(⊆⋠⇑⪆31242)↬(⇑⪆120224⪄⇑⪆33203))⩣⫁∢(⨣⨃⇪((⇺⋃⇑⪆102300)⊵↤))=⇑⪆-1233","reverse_text":"⇑⪆-1233=(⫖→(⊆⋠⇑⪆31242)↬(⇑⪆120224⪄⇑⪆33203))⩣⫁∢(⨣⨃⇪((⇺⋃⇑⪆102300)⊵↤))","cot":[{"info":"⊆⋠⇑⪆31242=⇑⪆0","layer":3},{"info":"⇑⪆120224⪄⇑⪆33203=⇑⪆-132143043","layer":3},{"info":"⇑⪆0↬⇑⪆-132143043=⇑⪆-132143043","layer":2},{"info":"⫖→⇑⪆-132143043=⇑⪆1202","layer":1},{"info":"⇺⋃⇑⪆102300=NaN","layer":3},{"info":"NaN⊵↤=⇑⪆232","layer":2},{"info":"⨣⨃⇪⇑⪆232=⇑⪆21110","layer":1},{"info":"⇑⪆1202⩣⫁∢⇑⪆21110=⇑⪆-1233","layer":0}]}
{"id":930,"expression_no_base_symbol":"(((⪓⩚$1803$)∠↢$2994$≒∊$6205$)⨕⋳)⋓((⪲⇎$5481$⪟⇏$1286$)⇄(($2878$⊍⩺⋍$1991$)⇼⇔∾(≅≯⇸$6354$)))","expression":"(((⪓⩚⇑⪆24203)∠↢⇑⪆43434≒∊⇑⪆144310)⨕⋳)⋓((⪲⇎⇑⪆133411⪟⇏⇑⪆20121)⇄((⇑⪆43003⊍⩺⋍⇑⪆30431)⇼⇔∾(≅≯⇸⇑⪆200404)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3748,"operation_count":11,"complexity_ratio":340.72727272727275,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1803,"base":5}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2994,"base":5},"right_expr":{"type":"numeric_atoms","value":6205,"base":5}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":5481,"base":5},"right_expr":{"type":"numeric_atoms","value":1286,"base":5}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2878,"base":5},"right_expr":{"type":"numeric_atoms","value":1991,"base":5}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":6354,"base":5}}}}},"used_operators":["T2fj7uvVaJ","4X4GscPmMf","KbjG8mgYpV","u0R0Locfp2","5KTvxBwnZo","3EYGwJThht","XPYlsWDdGa","GODebY97qR","tifHPKVTfV","OXDGMFPWZM","apS25hmuAe"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1803","layer":4},{"info":"compute unary expreesion, input=1803, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=2994","layer":4},{"info":"number node, value=6205","layer":4},{"info":"compute binary expreesion, left_input=2994, right_input=6205, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2510","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=-2510, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=34518","layer":2},{"info":"compute unary expreesion, input=34518, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=2957212","layer":1},{"info":"number node, value=5481","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=5481, right_input=1286, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-2","layer":2},{"info":"number node, value=2878","layer":4},{"info":"number node, value=1991","layer":4},{"info":"compute binary expreesion, left_input=2878, right_input=1991, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=6354","layer":4},{"info":"compute unary expreesion, input=6354, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=33093","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=33093, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2957212, 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":5,"result_base":5,"text":"(((⪓⩚⇑⪆24203)∠↢⇑⪆43434≒∊⇑⪆144310)⨕⋳)⋓((⪲⇎⇑⪆133411⪟⇏⇑⪆20121)⇄((⇑⪆43003⊍⩺⋍⇑⪆30431)⇼⇔∾(≅≯⇸⇑⪆200404)))=NaN","reverse_text":"NaN=(((⪓⩚⇑⪆24203)∠↢⇑⪆43434≒∊⇑⪆144310)⨕⋳)⋓((⪲⇎⇑⪆133411⪟⇏⇑⪆20121)⇄((⇑⪆43003⊍⩺⋍⇑⪆30431)⇼⇔∾(≅≯⇸⇑⪆200404)))","cot":[{"info":"⪓⩚⇑⪆24203=⇑⪆3201","layer":3},{"info":"⇑⪆43434≒∊⇑⪆144310=⇑⪆-40020","layer":3},{"info":"⇑⪆3201∠↢⇑⪆-40020=⇑⪆2101033","layer":2},{"info":"⇑⪆2101033⨕⋳=⇑⪆1224112322","layer":1},{"info":"⇑⪆133411⪟⇏⇑⪆20121=⇑⪆-1","layer":3},{"info":"⪲⇎⇑⪆-1=⇑⪆-2","layer":2},{"info":"⇑⪆43003⊍⩺⋍⇑⪆30431=NaN","layer":3},{"info":"≅≯⇸⇑⪆200404=⇑⪆2024333","layer":3},{"info":"NaN⇼⇔∾⇑⪆2024333=NaN","layer":2},{"info":"⇑⪆-2⇄NaN=NaN","layer":1},{"info":"⇑⪆1224112322⋓NaN=NaN","layer":0}]}
{"id":931,"expression_no_base_symbol":"∟⋨(($3022$↛⩡⫤)⊨($1123$⫢⨠$1482$))⇡⇂(($4541$⫣⪄⊒$4235$)⋹⋡⊁(⇁⨣⪵$3620$))","expression":"∟⋨((⇑⪆44042↛⩡⫤)⊨(⇑⪆13443⫢⨠⇑⪆21412))⇡⇂((⇑⪆121131⫣⪄⊒⇑⪆113420)⋹⋡⊁(⇁⨣⪵⇑⪆103440))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1922711,"operation_count":8,"complexity_ratio":240338.875,"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":3022,"base":5}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1123,"base":5},"right_expr":{"type":"numeric_atoms","value":1482,"base":5}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4541,"base":5},"right_expr":{"type":"numeric_atoms","value":4235,"base":5}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3620,"base":5}}}}},"used_operators":["ctOc4cKSDt","UMwdvZNt44","vg4gO5BX6G","FU0Cs4j7VP","xlXykHWxX1","As8RqfVLgs","RabNbG55vr","inkyxCbjAn"],"dependent_operators":["eLAdDNolq6","tmPS8pqC7x","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","B5M0gjZbta"],"result":"⇑⪆2223","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3022","layer":4},{"info":"compute unary expreesion, input=3022, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-452411","layer":3},{"info":"number node, value=1123","layer":4},{"info":"number node, value=1482","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=1482, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-452411, right_input=160, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"number node, value=4541","layer":4},{"info":"number node, value=4235","layer":4},{"info":"compute binary expreesion, left_input=4541, right_input=4235, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-16840","layer":3},{"info":"number node, value=3620","layer":4},{"info":"compute unary expreesion, input=3620, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-16840, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=269178","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=269178, 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=-171","layer":1},{"info":"compute unary expreesion, input=-171, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=313","layer":0}],"base":5,"result_base":5,"text":"∟⋨((⇑⪆44042↛⩡⫤)⊨(⇑⪆13443⫢⨠⇑⪆21412))⇡⇂((⇑⪆121131⫣⪄⊒⇑⪆113420)⋹⋡⊁(⇁⨣⪵⇑⪆103440))=⇑⪆2223","reverse_text":"⇑⪆2223=∟⋨((⇑⪆44042↛⩡⫤)⊨(⇑⪆13443⫢⨠⇑⪆21412))⇡⇂((⇑⪆121131⫣⪄⊒⇑⪆113420)⋹⋡⊁(⇁⨣⪵⇑⪆103440))","cot":[{"info":"⇑⪆44042↛⩡⫤=⇑⪆-103434121","layer":3},{"info":"⇑⪆13443⫢⨠⇑⪆21412=⇑⪆1120","layer":3},{"info":"⇑⪆-103434121⊨⇑⪆1120=⇑⪆-1144","layer":2},{"info":"⇑⪆121131⫣⪄⊒⇑⪆113420=⇑⪆-1014330","layer":3},{"info":"⇁⨣⪵⇑⪆103440=NaN","layer":3},{"info":"⇑⪆-1014330⋹⋡⊁NaN=⇑⪆32103203","layer":2},{"info":"⇑⪆-1144⇡⇂⇑⪆32103203=⇑⪆-1141","layer":1},{"info":"∟⋨⇑⪆-1141=⇑⪆2223","layer":0}]}
{"id":932,"expression_no_base_symbol":"(⨑⩽⪐(⨡↴$2346$))⋝⋈⪟((⊆⋠$1147$)⫌⩉⩟(≪$2806$))⋻⩜⩜($1820$⩦$1005$∷$1351$⫞⩸⩒$1873$)⪚($1273$⇷$5682$⋝⋈⪟($2857$⨎$3546$))","expression":"(⨑⩽⪐(⨡↴⇑⪆33341))⋝⋈⪟((⊆⋠⇑⪆14042)⫌⩉⩟(≪⇑⪆42211))⋻⩜⩜(⇑⪆24240⩦⇑⪆13010∷⇑⪆20401⫞⩸⩒⇑⪆24443)⪚(⇑⪆20043⇷⇑⪆140212⋝⋈⪟(⇑⪆42412⨎⇑⪆103141))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1132001,"operation_count":14,"complexity_ratio":80857.21428571429,"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":2346,"base":5}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1147,"base":5}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":2806,"base":5}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1820,"base":5},"right_expr":{"type":"numeric_atoms","value":1005,"base":5}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1351,"base":5},"right_expr":{"type":"numeric_atoms","value":1873,"base":5}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1273,"base":5},"right_expr":{"type":"numeric_atoms","value":5682,"base":5}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2857,"base":5},"right_expr":{"type":"numeric_atoms","value":3546,"base":5}}}}},"used_operators":["oDCm7WA9JY","2DDjHMKMc0","AF7qkfDlqP","liw5iZPkLH","XIIwhv8d0m","EBhcHTkKd8","Qtd6bqUJcN","HrjLwUk87U","D3AQDKkPcf","0kmYd0q39Y","XGcMNugi78","mp7IySMOzn","rJVOvQCfKK"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","P8v4zCKN1o","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9FxExcQeMw","NTOWxs364D","7j4O788W3g","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2346","layer":4},{"info":"compute unary expreesion, input=2346, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=3395","layer":3},{"info":"compute unary expreesion, input=3395, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3122","layer":2},{"info":"number node, value=1147","layer":4},{"info":"compute unary expreesion, input=1147, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=2806","layer":4},{"info":"compute unary expreesion, input=2806, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=913, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=-3122, right_input=-50, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-3122","layer":1},{"info":"number node, value=1820","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1820, right_input=1005, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3640","layer":3},{"info":"number node, value=1351","layer":4},{"info":"number node, value=1873","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=1873, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1873","layer":3},{"info":"compute binary expreesion, left_input=3640, right_input=1873, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1873","layer":2},{"info":"number node, value=1273","layer":4},{"info":"number node, value=5682","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=5682, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11364","layer":3},{"info":"number node, value=2857","layer":4},{"info":"number node, value=3546","layer":4},{"info":"compute binary expreesion, left_input=2857, right_input=3546, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3546","layer":3},{"info":"compute binary expreesion, left_input=11364, right_input=3546, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=11364","layer":2},{"info":"compute binary expreesion, left_input=1873, right_input=11364, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-19338","layer":1},{"info":"compute binary expreesion, left_input=-3122, right_input=-19338, 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":5,"result_base":5,"text":"(⨑⩽⪐(⨡↴⇑⪆33341))⋝⋈⪟((⊆⋠⇑⪆14042)⫌⩉⩟(≪⇑⪆42211))⋻⩜⩜(⇑⪆24240⩦⇑⪆13010∷⇑⪆20401⫞⩸⩒⇑⪆24443)⪚(⇑⪆20043⇷⇑⪆140212⋝⋈⪟(⇑⪆42412⨎⇑⪆103141))=NaN","reverse_text":"NaN=(⨑⩽⪐(⨡↴⇑⪆33341))⋝⋈⪟((⊆⋠⇑⪆14042)⫌⩉⩟(≪⇑⪆42211))⋻⩜⩜(⇑⪆24240⩦⇑⪆13010∷⇑⪆20401⫞⩸⩒⇑⪆24443)⪚(⇑⪆20043⇷⇑⪆140212⋝⋈⪟(⇑⪆42412⨎⇑⪆103141))","cot":[{"info":"⨡↴⇑⪆33341=⇑⪆102040","layer":3},{"info":"⨑⩽⪐⇑⪆102040=⇑⪆-44442","layer":2},{"info":"⊆⋠⇑⪆14042=⇑⪆0","layer":3},{"info":"≪⇑⪆42211=⇑⪆12123","layer":3},{"info":"⇑⪆0⫌⩉⩟⇑⪆12123=⇑⪆-200","layer":2},{"info":"⇑⪆-44442⋝⋈⪟⇑⪆-200=⇑⪆-44442","layer":1},{"info":"⇑⪆24240⩦⇑⪆13010=⇑⪆104030","layer":3},{"info":"⇑⪆20401⫞⩸⩒⇑⪆24443=⇑⪆24443","layer":3},{"info":"⇑⪆104030∷⇑⪆24443=⇑⪆24443","layer":2},{"info":"⇑⪆20043⇷⇑⪆140212=⇑⪆330424","layer":3},{"info":"⇑⪆42412⨎⇑⪆103141=⇑⪆103141","layer":3},{"info":"⇑⪆330424⋝⋈⪟⇑⪆103141=⇑⪆330424","layer":2},{"info":"⇑⪆24443⪚⇑⪆330424=⇑⪆-1104323","layer":1},{"info":"⇑⪆-44442⋻⩜⩜⇑⪆-1104323=NaN","layer":0}]}
{"id":933,"expression_no_base_symbol":"((⋗⩴⪓$1523$)⋛($4440$⋓$2177$))↢(($7546$⊍⩺⋍$6232$)⪥($5372$⫌⩉⩟$3729$))⩁⩘((≦∁$4126$↼⊘⨖$2009$)⫰⋱$2506$⨥⫆$3203$⫁⪎($4915$≃⋄))","expression":"((⋗⩴⪓⇑⪆22043)⋛(⇑⪆120230⋓⇑⪆32202))↢((⇑⪆220141⊍⩺⋍⇑⪆144412)⪥(⇑⪆132442⫌⩉⩟⇑⪆104404))⩁⩘((≦∁⇑⪆113001↼⊘⨖⇑⪆31014)⫰⋱⇑⪆40011⨥⫆⇑⪆100303⫁⪎(⇑⪆124130≃⋄))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20469,"operation_count":14,"complexity_ratio":1462.0714285714287,"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":1523,"base":5}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4440,"base":5},"right_expr":{"type":"numeric_atoms","value":2177,"base":5}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":7546,"base":5},"right_expr":{"type":"numeric_atoms","value":6232,"base":5}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":5372,"base":5},"right_expr":{"type":"numeric_atoms","value":3729,"base":5}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":4126,"base":5},"right_expr":{"type":"numeric_atoms","value":2009,"base":5}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2506,"base":5},"right_expr":{"type":"numeric_atoms","value":3203,"base":5}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":4915,"base":5}}}}},"used_operators":["gub5Cegaqo","WR6HLWljOP","YbUVn0Rbpy","nOKPl9n5zu","T2fj7uvVaJ","QbnwKVWMIQ","OXDGMFPWZM","XIIwhv8d0m","6o9Blt3TJ6","9ICcGScMcE","bPywburJMS","xRrnTEsQ6j","yXekIHxTD4","aN9a90urxU"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","uFcxV4UQCh","jLgFTUHLKL"],"result":"⇑⪆-422404","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1523","layer":4},{"info":"compute unary expreesion, input=1523, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-610","layer":3},{"info":"number node, value=4440","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=4440, right_input=2177, 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=-610, 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=-126009","layer":2},{"info":"number node, value=7546","layer":4},{"info":"number node, value=6232","layer":4},{"info":"compute binary expreesion, left_input=7546, right_input=6232, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=5372","layer":4},{"info":"number node, value=3729","layer":4},{"info":"compute binary expreesion, left_input=5372, right_input=3729, 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 = 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=-126009, right_input=-116, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-252250","layer":1},{"info":"number node, value=4126","layer":4},{"info":"number node, value=2009","layer":4},{"info":"compute binary expreesion, left_input=4126, right_input=2009, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3796","layer":3},{"info":"compute unary expreesion, input=3796, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3796","layer":2},{"info":"number node, value=2506","layer":4},{"info":"number node, value=3203","layer":4},{"info":"compute binary expreesion, left_input=2506, right_input=3203, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=6282","layer":3},{"info":"number node, value=4915","layer":4},{"info":"compute unary expreesion, input=4915, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"compute binary expreesion, left_input=6282, right_input=764, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=5518","layer":2},{"info":"compute binary expreesion, left_input=3796, right_input=5518, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3763","layer":1},{"info":"compute binary expreesion, left_input=-252250, right_input=-3763, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-14104","layer":0}],"base":5,"result_base":5,"text":"((⋗⩴⪓⇑⪆22043)⋛(⇑⪆120230⋓⇑⪆32202))↢((⇑⪆220141⊍⩺⋍⇑⪆144412)⪥(⇑⪆132442⫌⩉⩟⇑⪆104404))⩁⩘((≦∁⇑⪆113001↼⊘⨖⇑⪆31014)⫰⋱⇑⪆40011⨥⫆⇑⪆100303⫁⪎(⇑⪆124130≃⋄))=⇑⪆-422404","reverse_text":"⇑⪆-422404=((⋗⩴⪓⇑⪆22043)⋛(⇑⪆120230⋓⇑⪆32202))↢((⇑⪆220141⊍⩺⋍⇑⪆144412)⪥(⇑⪆132442⫌⩉⩟⇑⪆104404))⩁⩘((≦∁⇑⪆113001↼⊘⨖⇑⪆31014)⫰⋱⇑⪆40011⨥⫆⇑⪆100303⫁⪎(⇑⪆124130≃⋄))","cot":[{"info":"⋗⩴⪓⇑⪆22043=⇑⪆-4420","layer":3},{"info":"⇑⪆120230⋓⇑⪆32202=⇑⪆0","layer":3},{"info":"⇑⪆-4420⋛⇑⪆0=⇑⪆-13013014","layer":2},{"info":"⇑⪆220141⊍⩺⋍⇑⪆144412=NaN","layer":3},{"info":"⇑⪆132442⫌⩉⩟⇑⪆104404=⇑⪆-200","layer":3},{"info":"NaN⪥⇑⪆-200=⇑⪆-431","layer":2},{"info":"⇑⪆-13013014↢⇑⪆-431=⇑⪆-31033000","layer":1},{"info":"⇑⪆113001↼⊘⨖⇑⪆31014=⇑⪆110141","layer":3},{"info":"≦∁⇑⪆110141=⇑⪆110141","layer":2},{"info":"⇑⪆40011⨥⫆⇑⪆100303=⇑⪆200112","layer":3},{"info":"⇑⪆124130≃⋄=⇑⪆11024","layer":3},{"info":"⇑⪆200112⫁⪎⇑⪆11024=⇑⪆134033","layer":2},{"info":"⇑⪆110141⫰⋱⇑⪆134033=⇑⪆-110023","layer":1},{"info":"⇑⪆-31033000⩁⩘⇑⪆-110023=⇑⪆-422404","layer":0}]}
{"id":934,"expression_no_base_symbol":"((⩏⊷≩(↯⪼$6051$))⩍⋽⫝̸(($3023$⇣⩺⋵$1276$)⫉⨲⊜($4322$⫡⨏$4921$)))⊱⇼⊻(($3043$→⨶⪴$7354$⊹∫⫚($2367$⫠↝⫳))⫑%∭)","expression":"((⩏⊷≩(↯⪼⇑⪆143201))⩍⋽⫝̸((⇑⪆44043⇣⩺⋵⇑⪆20101)⫉⨲⊜(⇑⪆114242⫡⨏⇑⪆124141)))⊱⇼⊻((⇑⪆44133→⨶⪴⇑⪆213404⊹∫⫚(⇑⪆33432⫠↝⫳))⫑%∭)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2412,"operation_count":11,"complexity_ratio":219.27272727272728,"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":6051,"base":5}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":3023,"base":5},"right_expr":{"type":"numeric_atoms","value":1276,"base":5}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4322,"base":5},"right_expr":{"type":"numeric_atoms","value":4921,"base":5}}}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3043,"base":5},"right_expr":{"type":"numeric_atoms","value":7354,"base":5}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":2367,"base":5}}}}},"used_operators":["FyVja0WsTP","BiWNJpBvwn","uOZ1tnYMDE","8jW3W4yZS5","WhqkvtTD3t","F4yD0voBRQ","QMFrweE19q","xUx7qlDO4z","uWAJUKEvyW","bF6eod5Gvf","8n5YIzOsVS"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","Ph9nP6C5qx","xUOZtlo3hN","23Mk6UjR3U","12rbrZMWeM","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","eewbuw0ToL","zVYPLywUTj","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"⇑⪆3214","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6051","layer":4},{"info":"compute unary expreesion, input=6051, 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 = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=698","layer":2},{"info":"number node, value=3023","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=3023, right_input=1276, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=4322","layer":4},{"info":"number node, value=4921","layer":4},{"info":"compute binary expreesion, left_input=4322, right_input=4921, 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=32235","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=32235, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=706582","layer":2},{"info":"compute binary expreesion, left_input=698, right_input=706582, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=705636","layer":1},{"info":"number node, value=3043","layer":4},{"info":"number node, value=7354","layer":4},{"info":"compute binary expreesion, left_input=3043, right_input=7354, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-22062","layer":3},{"info":"number node, value=2367","layer":4},{"info":"compute unary expreesion, input=2367, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=76367","layer":3},{"info":"compute binary expreesion, left_input=-22062, right_input=76367, 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 unary expreesion, input=-244, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=705636, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":0}],"base":5,"result_base":5,"text":"((⩏⊷≩(↯⪼⇑⪆143201))⩍⋽⫝̸((⇑⪆44043⇣⩺⋵⇑⪆20101)⫉⨲⊜(⇑⪆114242⫡⨏⇑⪆124141)))⊱⇼⊻((⇑⪆44133→⨶⪴⇑⪆213404⊹∫⫚(⇑⪆33432⫠↝⫳))⫑%∭)=⇑⪆3214","reverse_text":"⇑⪆3214=((⩏⊷≩(↯⪼⇑⪆143201))⩍⋽⫝̸((⇑⪆44043⇣⩺⋵⇑⪆20101)⫉⨲⊜(⇑⪆114242⫡⨏⇑⪆124141)))⊱⇼⊻((⇑⪆44133→⨶⪴⇑⪆213404⊹∫⫚(⇑⪆33432⫠↝⫳))⫑%∭)","cot":[{"info":"↯⪼⇑⪆143201=⇑⪆-41","layer":3},{"info":"⩏⊷≩⇑⪆-41=⇑⪆10243","layer":2},{"info":"⇑⪆44043⇣⩺⋵⇑⪆20101=⇑⪆-2020","layer":3},{"info":"⇑⪆114242⫡⨏⇑⪆124141=⇑⪆2012420","layer":3},{"info":"⇑⪆-2020⫉⨲⊜⇑⪆2012420=⇑⪆140102312","layer":2},{"info":"⇑⪆10243⩍⋽⫝̸⇑⪆140102312=⇑⪆140040021","layer":1},{"info":"⇑⪆44133→⨶⪴⇑⪆213404=⇑⪆-1201222","layer":3},{"info":"⇑⪆33432⫠↝⫳=⇑⪆4420432","layer":3},{"info":"⇑⪆-1201222⊹∫⫚⇑⪆4420432=⇑⪆-1434","layer":2},{"info":"⇑⪆-1434⫑%∭=NaN","layer":1},{"info":"⇑⪆140040021⊱⇼⊻NaN=⇑⪆3214","layer":0}]}
{"id":935,"expression_no_base_symbol":"($1675$⊕∕$9139$↼⊘⨖($2541$⪣⫩)≧⫂∧($1458$⪁$7340$)⪛($2772$⩚⊴⇥$2225$))⨔⇊($3976$⪬$1174$⪔⊥($1368$⋭≵$3133$)⪛⫼$1390$⋹⋡⊁$2468$↳≱$4076$≎⪠$5413$)","expression":"(⇑⪆23200⊕∕⇑⪆243024↼⊘⨖(⇑⪆40131⪣⫩)≧⫂∧(⇑⪆21313⪁⇑⪆213330)⪛(⇑⪆42042⩚⊴⇥⇑⪆32400))⨔⇊(⇑⪆111401⪬⇑⪆14144⪔⊥(⇑⪆20433⋭≵⇑⪆100013)⪛⫼⇑⪆21030⋹⋡⊁⇑⪆34333↳≱⇑⪆112301≎⪠⇑⪆133123)","highest_n_order":4,"priority_hierarchical_complexity":14,"normalized_expansion_degree":91298,"operation_count":15,"complexity_ratio":6086.533333333334,"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":1675,"base":5},"right_expr":{"type":"numeric_atoms","value":9139,"base":5}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":2541,"base":5}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1458,"base":5},"right_expr":{"type":"numeric_atoms","value":7340,"base":5}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2772,"base":5},"right_expr":{"type":"numeric_atoms","value":2225,"base":5}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3976,"base":5},"right_expr":{"type":"numeric_atoms","value":1174,"base":5}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1368,"base":5},"right_expr":{"type":"numeric_atoms","value":3133,"base":5}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1390,"base":5},"right_expr":{"type":"numeric_atoms","value":2468,"base":5}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":4076,"base":5},"right_expr":{"type":"numeric_atoms","value":5413,"base":5}}}}},"used_operators":["JclMnS0uGI","Ph9nP6C5qx","bPywburJMS","9cloC0Ngie","iuk5sVOGFA","uFcxV4UQCh","I7sXao9hZE","NTOWxs364D","hyuBjUqXlG","HJ9erzHUuu","Ez1Nq5fNfI","jBncVCNhdl","JwTKLfZU96","As8RqfVLgs","aNhz54LH3e"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"⇑⪆12333","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1675","layer":4},{"info":"number node, value=9139","layer":4},{"info":"compute binary expreesion, left_input=1675, right_input=9139, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1675","layer":3},{"info":"number node, value=2541","layer":4},{"info":"compute unary expreesion, input=2541, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=7590","layer":3},{"info":"compute binary expreesion, left_input=1675, right_input=7590, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=14958","layer":2},{"info":"number node, value=1458","layer":4},{"info":"number node, value=7340","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=7340, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=2772","layer":4},{"info":"number node, value=2225","layer":4},{"info":"compute binary expreesion, left_input=2772, right_input=2225, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5118","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5118, 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=14958, 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=3976","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=3976, right_input=1174, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1368","layer":4},{"info":"number node, value=3133","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=3133, 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=1234, right_input=67, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-435","layer":2},{"info":"number node, value=1390","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=2468, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3218","layer":3},{"info":"number node, value=4076","layer":4},{"info":"number node, value=5413","layer":4},{"info":"compute binary expreesion, left_input=4076, right_input=5413, 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=3218, right_input=19558, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-435, right_input=0, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=968","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆23200⊕∕⇑⪆243024↼⊘⨖(⇑⪆40131⪣⫩)≧⫂∧(⇑⪆21313⪁⇑⪆213330)⪛(⇑⪆42042⩚⊴⇥⇑⪆32400))⨔⇊(⇑⪆111401⪬⇑⪆14144⪔⊥(⇑⪆20433⋭≵⇑⪆100013)⪛⫼⇑⪆21030⋹⋡⊁⇑⪆34333↳≱⇑⪆112301≎⪠⇑⪆133123)=⇑⪆12333","reverse_text":"⇑⪆12333=(⇑⪆23200⊕∕⇑⪆243024↼⊘⨖(⇑⪆40131⪣⫩)≧⫂∧(⇑⪆21313⪁⇑⪆213330)⪛(⇑⪆42042⩚⊴⇥⇑⪆32400))⨔⇊(⇑⪆111401⪬⇑⪆14144⪔⊥(⇑⪆20433⋭≵⇑⪆100013)⪛⫼⇑⪆21030⋹⋡⊁⇑⪆34333↳≱⇑⪆112301≎⪠⇑⪆133123)","cot":[{"info":"⇑⪆23200⊕∕⇑⪆243024=⇑⪆23200","layer":3},{"info":"⇑⪆40131⪣⫩=⇑⪆220330","layer":3},{"info":"⇑⪆23200↼⊘⨖⇑⪆220330=⇑⪆434313","layer":2},{"info":"⇑⪆21313⪁⇑⪆213330=NaN","layer":3},{"info":"⇑⪆42042⩚⊴⇥⇑⪆32400=⇑⪆-130433","layer":3},{"info":"NaN⪛⇑⪆-130433=NaN","layer":2},{"info":"⇑⪆434313≧⫂∧NaN=NaN","layer":1},{"info":"⇑⪆111401⪬⇑⪆14144=⇑⪆14414","layer":3},{"info":"⇑⪆20433⋭≵⇑⪆100013=⇑⪆232","layer":3},{"info":"⇑⪆14414⪔⊥⇑⪆232=⇑⪆-3220","layer":2},{"info":"⇑⪆21030⋹⋡⊁⇑⪆34333=⇑⪆100333","layer":3},{"info":"⇑⪆112301≎⪠⇑⪆133123=⇑⪆1111213","layer":3},{"info":"⇑⪆100333↳≱⇑⪆1111213=⇑⪆0","layer":2},{"info":"⇑⪆-3220⪛⫼⇑⪆0=⇑⪆12333","layer":1},{"info":"NaN⨔⇊⇑⪆12333=⇑⪆12333","layer":0}]}
{"id":936,"expression_no_base_symbol":"⪫⨮⊛(((⨰⫟⨤$1215$)⫦⪉(↨⩢⫨$2511$))∣(⨈⫕(⇺⋃$1002$)))","expression":"⪫⨮⊛(((⨰⫟⨤⇑⪆14330)⫦⪉(↨⩢⫨⇑⪆40021))∣(⨈⫕(⇺⋃⇑⪆13002)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":836946,"operation_count":7,"complexity_ratio":119563.71428571429,"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":1215,"base":5}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":2511,"base":5}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1002,"base":5}}}}},"used_operators":["w5FWba1tyO","PPChnnnBFF","wscyQdcy20","Tw270M8GLb","Z5CJsN7DuW","megm06wKyl","E5v5B3UAjG"],"dependent_operators":["s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1215","layer":4},{"info":"compute unary expreesion, input=1215, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2511","layer":4},{"info":"compute unary expreesion, input=2511, 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 = 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=1002","layer":4},{"info":"compute unary expreesion, input=1002, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=4405","layer":3},{"info":"compute unary expreesion, input=4405, 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 = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⪫⨮⊛(((⨰⫟⨤⇑⪆14330)⫦⪉(↨⩢⫨⇑⪆40021))∣(⨈⫕(⇺⋃⇑⪆13002)))=NaN","reverse_text":"NaN=⪫⨮⊛(((⨰⫟⨤⇑⪆14330)⫦⪉(↨⩢⫨⇑⪆40021))∣(⨈⫕(⇺⋃⇑⪆13002)))","cot":[{"info":"⨰⫟⨤⇑⪆14330=NaN","layer":3},{"info":"↨⩢⫨⇑⪆40021=⇑⪆0","layer":3},{"info":"NaN⫦⪉⇑⪆0=NaN","layer":2},{"info":"⇺⋃⇑⪆13002=⇑⪆120110","layer":3},{"info":"⨈⫕⇑⪆120110=⇑⪆-41","layer":2},{"info":"NaN∣⇑⪆-41=NaN","layer":1},{"info":"⪫⨮⊛NaN=NaN","layer":0}]}
{"id":937,"expression_no_base_symbol":"(∟⋨($4499$⪁$2804$)≝⊿($6575$⪠⩆⊳))⨽∌(⫖→$3410$≁↽≥$3668$⋛($2207$↪⪝))","expression":"(∟⋨(⇑⪆120444⪁⇑⪆42204)≝⊿(⇑⪆202300⪠⩆⊳))⨽∌(⫖→⇑⪆102120≁↽≥⇑⪆104133⋛(⇑⪆32312↪⪝))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":108915705,"operation_count":9,"complexity_ratio":12101745.0,"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":4499,"base":5},"right_expr":{"type":"numeric_atoms","value":2804,"base":5}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":6575,"base":5}}}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3410,"base":5},"right_expr":{"type":"numeric_atoms","value":3668,"base":5}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2207,"base":5}}}}},"used_operators":["9samAPKr6k","ctOc4cKSDt","OKKcZfAt5B","I7sXao9hZE","JLbD19bQDL","U4ylXWHChL","YbUVn0Rbpy","ncHt1X6cMc","l07mrZUIn9"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","eLAdDNolq6","tmPS8pqC7x","12rbrZMWeM","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","oWn0xqSxBt","3Oe9XWJUTD","9HNa5Wba9A","2DDjHMKMc0"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4499","layer":4},{"info":"number node, value=2804","layer":4},{"info":"compute binary expreesion, left_input=4499, right_input=2804, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=6575","layer":4},{"info":"compute unary expreesion, input=6575, 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=nan, right_input=0, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=nan","layer":1},{"info":"number node, value=3410","layer":4},{"info":"number node, value=3668","layer":4},{"info":"compute binary expreesion, left_input=3410, right_input=3668, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=46838","layer":3},{"info":"number node, value=2207","layer":4},{"info":"compute unary expreesion, input=2207, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=135028674","layer":3},{"info":"compute binary expreesion, left_input=46838, right_input=135028674, 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=289350","layer":2},{"info":"compute unary expreesion, input=289350, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":5,"result_base":5,"text":"(∟⋨(⇑⪆120444⪁⇑⪆42204)≝⊿(⇑⪆202300⪠⩆⊳))⨽∌(⫖→⇑⪆102120≁↽≥⇑⪆104133⋛(⇑⪆32312↪⪝))=⇑⪆0","reverse_text":"⇑⪆0=(∟⋨(⇑⪆120444⪁⇑⪆42204)≝⊿(⇑⪆202300⪠⩆⊳))⨽∌(⫖→⇑⪆102120≁↽≥⇑⪆104133⋛(⇑⪆32312↪⪝))","cot":[{"info":"⇑⪆120444⪁⇑⪆42204=NaN","layer":3},{"info":"⇑⪆202300⪠⩆⊳=⇑⪆0","layer":3},{"info":"NaN≝⊿⇑⪆0=NaN","layer":2},{"info":"∟⋨NaN=NaN","layer":1},{"info":"⇑⪆102120≁↽≥⇑⪆104133=⇑⪆2444323","layer":3},{"info":"⇑⪆32312↪⪝=⇑⪆234031404144","layer":3},{"info":"⇑⪆2444323⋛⇑⪆234031404144=⇑⪆33224400","layer":2},{"info":"⫖→⇑⪆33224400=⇑⪆1202","layer":1},{"info":"NaN⨽∌⇑⪆1202=⇑⪆0","layer":0}]}
{"id":938,"expression_no_base_symbol":"⫟($3742$⫣⪄⊒$2352$⨓$1011$↳∿⪆$1083$)→⨶⪴(⊽($1859$∛≔))","expression":"⫟(⇑⪆104432⫣⪄⊒⇑⪆33402⨓⇑⪆13021↳∿⪆⇑⪆13313)→⨶⪴(⊽(⇑⪆24414∛≔))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11001,"operation_count":7,"complexity_ratio":1571.5714285714287,"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":3742,"base":5},"right_expr":{"type":"numeric_atoms","value":2352,"base":5}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1011,"base":5},"right_expr":{"type":"numeric_atoms","value":1083,"base":5}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":1859,"base":5}}}}},"used_operators":["z4E1FaHLuy","bF6eod5Gvf","3ViojmjbAp","RabNbG55vr","Cw4SuJJGHO","QxG7OkqoLX","mGnSCrte3L"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","8w2t5hMYqp","9FxExcQeMw","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3742","layer":4},{"info":"number node, value=2352","layer":4},{"info":"compute binary expreesion, left_input=3742, right_input=2352, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-7140","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=1083, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7140, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1859","layer":4},{"info":"compute unary expreesion, input=1859, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-418661197","layer":3},{"info":"compute unary expreesion, input=-418661197, 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 = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⫟(⇑⪆104432⫣⪄⊒⇑⪆33402⨓⇑⪆13021↳∿⪆⇑⪆13313)→⨶⪴(⊽(⇑⪆24414∛≔))=NaN","reverse_text":"NaN=⫟(⇑⪆104432⫣⪄⊒⇑⪆33402⨓⇑⪆13021↳∿⪆⇑⪆13313)→⨶⪴(⊽(⇑⪆24414∛≔))","cot":[{"info":"⇑⪆104432⫣⪄⊒⇑⪆33402=⇑⪆-212030","layer":3},{"info":"⇑⪆13021↳∿⪆⇑⪆13313=NaN","layer":3},{"info":"⇑⪆-212030⨓NaN=NaN","layer":2},{"info":"⇑⪆24414∛≔=⇑⪆-1324134124242","layer":3},{"info":"⊽⇑⪆-1324134124242=⇑⪆0","layer":2},{"info":"NaN→⨶⪴⇑⪆0=NaN","layer":1},{"info":"⫟NaN=NaN","layer":0}]}
{"id":939,"expression_no_base_symbol":"($2348$⨿$1351$⨑≵⋬($5633$⊴⇁⪶)↸($7402$⋹⋡⊁$1012$⊫∞))⨥⫆(⩷⨜⫀(($3903$⫌⩉⩟$5025$)∘($1736$⫩)))","expression":"(⇑⪆33343⨿⇑⪆20401⨑≵⋬(⇑⪆140013⊴⇁⪶)↸(⇑⪆214102⋹⋡⊁⇑⪆13022⊫∞))⨥⫆(⩷⨜⫀((⇑⪆111103⫌⩉⩟⇑⪆130100)∘(⇑⪆23421⫩)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":122280,"operation_count":11,"complexity_ratio":11116.363636363636,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2348,"base":5},"right_expr":{"type":"numeric_atoms","value":1351,"base":5}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":5633,"base":5}}},"right_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":7402,"base":5},"right_expr":{"type":"numeric_atoms","value":1012,"base":5}}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3903,"base":5},"right_expr":{"type":"numeric_atoms","value":5025,"base":5}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1736,"base":5}}}}},"used_operators":["yXekIHxTD4","1eCjFl0mb9","XnXgA4xnOs","abYXlopdE0","oo9mF6JIpo","pABnYW3G3E","As8RqfVLgs","CDi0ktkjQ4","Z5m6OM72h2","XIIwhv8d0m","6aG7x05OhS"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","ruOEQAzv1W","nhYeJWJD5X","eH2TOUuTDT","rysDP5nf3Z","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","dWAJyo7jo9"],"result":"⇑⪆-1","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2348","layer":4},{"info":"number node, value=1351","layer":4},{"info":"compute binary expreesion, left_input=2348, right_input=1351, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=5633","layer":4},{"info":"compute unary expreesion, input=5633, 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=116248","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=116248, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-813952","layer":2},{"info":"number node, value=7402","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=7402, right_input=1012, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1762","layer":3},{"info":"compute unary expreesion, input=1762, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-813952, right_input=0, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-813952","layer":1},{"info":"number node, value=3903","layer":4},{"info":"number node, value=5025","layer":4},{"info":"compute binary expreesion, left_input=3903, right_input=5025, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1736","layer":4},{"info":"compute unary expreesion, input=1736, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-100","layer":2},{"info":"compute unary expreesion, input=-100, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":1},{"info":"compute binary expreesion, left_input=-813952, right_input=-766, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆33343⨿⇑⪆20401⨑≵⋬(⇑⪆140013⊴⇁⪶)↸(⇑⪆214102⋹⋡⊁⇑⪆13022⊫∞))⨥⫆(⩷⨜⫀((⇑⪆111103⫌⩉⩟⇑⪆130100)∘(⇑⪆23421⫩)))=⇑⪆-1","reverse_text":"⇑⪆-1=(⇑⪆33343⨿⇑⪆20401⨑≵⋬(⇑⪆140013⊴⇁⪶)↸(⇑⪆214102⋹⋡⊁⇑⪆13022⊫∞))⨥⫆(⩷⨜⫀((⇑⪆111103⫌⩉⩟⇑⪆130100)∘(⇑⪆23421⫩)))","cot":[{"info":"⇑⪆33343⨿⇑⪆20401=⇑⪆-2234","layer":3},{"info":"⇑⪆140013⊴⇁⪶=⇑⪆12204443","layer":3},{"info":"⇑⪆-2234⨑≵⋬⇑⪆12204443=⇑⪆-202021302","layer":2},{"info":"⇑⪆214102⋹⋡⊁⇑⪆13022=⇑⪆24022","layer":3},{"info":"⇑⪆24022⊫∞=⇑⪆0","layer":2},{"info":"⇑⪆-202021302↸⇑⪆0=⇑⪆-202021302","layer":1},{"info":"⇑⪆111103⫌⩉⩟⇑⪆130100=⇑⪆-200","layer":3},{"info":"⇑⪆23421⫩=NaN","layer":3},{"info":"⇑⪆-200∘NaN=⇑⪆-400","layer":2},{"info":"⩷⨜⫀⇑⪆-400=⇑⪆-11031","layer":1},{"info":"⇑⪆-202021302⨥⫆⇑⪆-11031=⇑⪆-1","layer":0}]}
{"id":940,"expression_no_base_symbol":"(⨵≀≌$7007$∇⊂⋱$1066$)≌($4563$⫁$5716$)↞⋁(⩒∊$1737$)⪛⫼(⪛⨧$2740$⨽∌$1268$≚⊃≕($1937$↸$2077$))","expression":"(⨵≀≌⇑⪆211012∇⊂⋱⇑⪆13231)≌(⇑⪆121223⫁⇑⪆140331)↞⋁(⩒∊⇑⪆23422)⪛⫼(⪛⨧⇑⪆41430⨽∌⇑⪆20033≚⊃≕(⇑⪆30222↸⇑⪆31302))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2479,"operation_count":11,"complexity_ratio":225.36363636363637,"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":7007,"base":5},"right_expr":{"type":"numeric_atoms","value":1066,"base":5}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":4563,"base":5},"right_expr":{"type":"numeric_atoms","value":5716,"base":5}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1737,"base":5}}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2740,"base":5},"right_expr":{"type":"numeric_atoms","value":1268,"base":5}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1937,"base":5},"right_expr":{"type":"numeric_atoms","value":2077,"base":5}}}}},"used_operators":["hyuBjUqXlG","lyWz822IDG","srAu1WTS94","nhYeJWJD5X","RqrPlJkxDo","0ajvFaJAv0","qazvmhNBbN","6NJAcO2OWT","Bmrmz2XGnR","9samAPKr6k","1eCjFl0mb9"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","cHh1gJQ2o6","AHs5Up7iyr","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7007","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=7007, right_input=1066, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=13468","layer":3},{"info":"compute unary expreesion, input=13468, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-40404","layer":2},{"info":"number node, value=4563","layer":4},{"info":"number node, value=5716","layer":4},{"info":"compute binary expreesion, left_input=4563, right_input=5716, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1737","layer":4},{"info":"compute unary expreesion, input=1737, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=2717","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2717, 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=-40404, 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=2740","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=2740, right_input=1268, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1937","layer":4},{"info":"number node, value=2077","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=2077, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1937","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1937, 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=-9307","layer":2},{"info":"compute unary expreesion, input=-9307, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=-17213","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-17213, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⨵≀≌⇑⪆211012∇⊂⋱⇑⪆13231)≌(⇑⪆121223⫁⇑⪆140331)↞⋁(⩒∊⇑⪆23422)⪛⫼(⪛⨧⇑⪆41430⨽∌⇑⪆20033≚⊃≕(⇑⪆30222↸⇑⪆31302))=NaN","reverse_text":"NaN=(⨵≀≌⇑⪆211012∇⊂⋱⇑⪆13231)≌(⇑⪆121223⫁⇑⪆140331)↞⋁(⩒∊⇑⪆23422)⪛⫼(⪛⨧⇑⪆41430⨽∌⇑⪆20033≚⊃≕(⇑⪆30222↸⇑⪆31302))","cot":[{"info":"⇑⪆211012∇⊂⋱⇑⪆13231=⇑⪆412333","layer":3},{"info":"⨵≀≌⇑⪆412333=⇑⪆-2243104","layer":2},{"info":"⇑⪆121223⫁⇑⪆140331=⇑⪆1120","layer":3},{"info":"⩒∊⇑⪆23422=⇑⪆41332","layer":3},{"info":"⇑⪆1120↞⋁⇑⪆41332=NaN","layer":2},{"info":"⇑⪆-2243104≌NaN=NaN","layer":1},{"info":"⇑⪆41430⨽∌⇑⪆20033=⇑⪆0","layer":3},{"info":"⇑⪆30222↸⇑⪆31302=⇑⪆30222","layer":3},{"info":"⇑⪆0≚⊃≕⇑⪆30222=⇑⪆-244212","layer":2},{"info":"⪛⨧⇑⪆-244212=⇑⪆-1022323","layer":1},{"info":"NaN⪛⫼⇑⪆-1022323=NaN","layer":0}]}
{"id":941,"expression_no_base_symbol":"(($1202$≬⋮$1007$⫳≱↱($1296$⫚↹⊑$1112$))≳⇉($3997$↓$7433$⨔≚≋$3323$⊝⪿⪼$7501$))⊚⫡⫭","expression":"((⇑⪆14302≬⋮⇑⪆13012⫳≱↱(⇑⪆20141⫚↹⊑⇑⪆13422))≳⇉(⇑⪆111442↓⇑⪆214213⨔≚≋⇑⪆101243⊝⪿⪼⇑⪆220001))⊚⫡⫭","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1062503,"operation_count":8,"complexity_ratio":132812.875,"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":1202,"base":5},"right_expr":{"type":"numeric_atoms","value":1007,"base":5}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1296,"base":5},"right_expr":{"type":"numeric_atoms","value":1112,"base":5}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3997,"base":5},"right_expr":{"type":"numeric_atoms","value":7433,"base":5}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3323,"base":5},"right_expr":{"type":"numeric_atoms","value":7501,"base":5}}}}},"used_operators":["SpZWOsLKZJ","V0kx6qeWkN","ZvLB05nZmT","kbkesczE7y","dfKe02y8D2","Z57zeUYC9z","Af076pWI7l","3Oe9XWJUTD"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1202","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=1007, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1296","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=1112, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-447, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=3997","layer":4},{"info":"number node, value=7433","layer":4},{"info":"compute binary expreesion, left_input=3997, right_input=7433, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=3323","layer":4},{"info":"number node, value=7501","layer":4},{"info":"compute binary expreesion, left_input=3323, right_input=7501, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=59777","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=59777, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-478832","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=-478832, 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 = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆14302≬⋮⇑⪆13012⫳≱↱(⇑⪆20141⫚↹⊑⇑⪆13422))≳⇉(⇑⪆111442↓⇑⪆214213⨔≚≋⇑⪆101243⊝⪿⪼⇑⪆220001))⊚⫡⫭=NaN","reverse_text":"NaN=((⇑⪆14302≬⋮⇑⪆13012⫳≱↱(⇑⪆20141⫚↹⊑⇑⪆13422))≳⇉(⇑⪆111442↓⇑⪆214213⨔≚≋⇑⪆101243⊝⪿⪼⇑⪆220001))⊚⫡⫭","cot":[{"info":"⇑⪆14302≬⋮⇑⪆13012=⇑⪆11433","layer":3},{"info":"⇑⪆20141⫚↹⊑⇑⪆13422=⇑⪆-3242","layer":3},{"info":"⇑⪆11433⫳≱↱⇑⪆-3242=⇑⪆-1304","layer":2},{"info":"⇑⪆111442↓⇑⪆214213=⇑⪆-1014","layer":3},{"info":"⇑⪆101243⊝⪿⪼⇑⪆220001=⇑⪆3403102","layer":3},{"info":"⇑⪆-1014⨔≚≋⇑⪆3403102=⇑⪆-110310312","layer":2},{"info":"⇑⪆-1304≳⇉⇑⪆-110310312=NaN","layer":1},{"info":"NaN⊚⫡⫭=NaN","layer":0}]}
{"id":942,"expression_no_base_symbol":"≛(⊵⊁($1371$⊱⇼⊻$6356$))≌(($1063$⪄$4866$)⪛⫼$5540$⋾⨃∁$1614$)","expression":"≛(⊵⊁(⇑⪆20441⊱⇼⊻⇑⪆200411))≌((⇑⪆13223⪄⇑⪆123431)⪛⫼⇑⪆134130⋾⨃∁⇑⪆22424)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":949195,"operation_count":7,"complexity_ratio":135599.2857142857,"tree":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1371,"base":5},"right_expr":{"type":"numeric_atoms","value":6356,"base":5}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1063,"base":5},"right_expr":{"type":"numeric_atoms","value":4866,"base":5}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":5540,"base":5},"right_expr":{"type":"numeric_atoms","value":1614,"base":5}}}}},"used_operators":["W7eaUhjymW","lyWz822IDG","AvED76WdY7","FyVja0WsTP","hyuBjUqXlG","SUmda5xLS4","212REbPD9h"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"⇑⪆-20","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1371","layer":4},{"info":"number node, value=6356","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=6356, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=1534","layer":2},{"info":"number node, value=1063","layer":4},{"info":"number node, value=4866","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=4866, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-172877","layer":3},{"info":"number node, value=5540","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=5540, right_input=1614, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=26030498","layer":3},{"info":"compute binary expreesion, left_input=-172877, right_input=26030498, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=1534, right_input=968, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=12964","layer":1},{"info":"compute unary expreesion, input=12964, 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":5,"result_base":5,"text":"≛(⊵⊁(⇑⪆20441⊱⇼⊻⇑⪆200411))≌((⇑⪆13223⪄⇑⪆123431)⪛⫼⇑⪆134130⋾⨃∁⇑⪆22424)=⇑⪆-20","reverse_text":"⇑⪆-20=≛(⊵⊁(⇑⪆20441⊱⇼⊻⇑⪆200411))≌((⇑⪆13223⪄⇑⪆123431)⪛⫼⇑⪆134130⋾⨃∁⇑⪆22424)","cot":[{"info":"⇑⪆20441⊱⇼⊻⇑⪆200411=⇑⪆3214","layer":3},{"info":"⊵⊁⇑⪆3214=⇑⪆22114","layer":2},{"info":"⇑⪆13223⪄⇑⪆123431=⇑⪆-21013002","layer":3},{"info":"⇑⪆134130⋾⨃∁⇑⪆22424=⇑⪆23130433443","layer":3},{"info":"⇑⪆-21013002⪛⫼⇑⪆23130433443=⇑⪆12333","layer":2},{"info":"⇑⪆22114≌⇑⪆12333=⇑⪆403324","layer":1},{"info":"≛⇑⪆403324=⇑⪆-20","layer":0}]}
{"id":943,"expression_no_base_symbol":"≪(((⇺⋃$1113$)⨵⪆($1796$⪁$3019$))⩒⫫($2182$≳⇉$1770$)⪪($1149$∀⊥⇻))","expression":"≪(((⇺⋃⇑⪆13423)⨵⪆(⇑⪆24141⪁⇑⪆44034))⩒⫫(⇑⪆32212≳⇉⇑⪆24040)⪪(⇑⪆14044∀⊥⇻))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":106457169,"operation_count":8,"complexity_ratio":13307146.125,"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":1113,"base":5}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1796,"base":5},"right_expr":{"type":"numeric_atoms","value":3019,"base":5}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2182,"base":5},"right_expr":{"type":"numeric_atoms","value":1770,"base":5}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":1149,"base":5}}}}},"used_operators":["Qtd6bqUJcN","KFSx94NKJn","2DQ55sFlQl","E5v5B3UAjG","I7sXao9hZE","xD69zh8xqp","V0kx6qeWkN","k4iM1060OG"],"dependent_operators":["3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","FU0Cs4j7VP","JclMnS0uGI","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD"],"result":"⇑⪆12123","longer_result_info":{"target_base":5,"flag":false},"cot_info":[{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=1796","layer":4},{"info":"number node, value=3019","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=3019, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2182","layer":4},{"info":"number node, value=1770","layer":4},{"info":"compute binary expreesion, left_input=2182, right_input=1770, 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=1149","layer":4},{"info":"compute unary expreesion, input=1149, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, 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 = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":0}],"base":5,"result_base":5,"text":"≪(((⇺⋃⇑⪆13423)⨵⪆(⇑⪆24141⪁⇑⪆44034))⩒⫫(⇑⪆32212≳⇉⇑⪆24040)⪪(⇑⪆14044∀⊥⇻))=⇑⪆12123","reverse_text":"⇑⪆12123=≪(((⇺⋃⇑⪆13423)⨵⪆(⇑⪆24141⪁⇑⪆44034))⩒⫫(⇑⪆32212≳⇉⇑⪆24040)⪪(⇑⪆14044∀⊥⇻))","cot":[{"info":"⇺⋃⇑⪆13423=NaN","layer":3},{"info":"⇑⪆24141⪁⇑⪆44034=NaN","layer":3},{"info":"NaN⨵⪆NaN=⇑⪆1120","layer":2},{"info":"⇑⪆32212≳⇉⇑⪆24040=NaN","layer":3},{"info":"⇑⪆14044∀⊥⇻=⇑⪆0","layer":3},{"info":"NaN⪪⇑⪆0=NaN","layer":2},{"info":"⇑⪆1120⩒⫫NaN=NaN","layer":1},{"info":"≪NaN=⇑⪆12123","layer":0}]}
{"id":944,"expression_no_base_symbol":"≪($2604$⨐$5188$⨻⩈⩔(⇜$1806$)⫌⩉⩟$4296$⫯⪬∳$3376$∣($1018$∠↢$1291$))","expression":"≪(⇑⪆40404⨐⇑⪆131223⨻⩈⩔(⇜⇑⪆24211)⫌⩉⩟⇑⪆114141⫯⪬∳⇑⪆102001∣(⇑⪆13033∠↢⇑⪆20131))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":110031,"operation_count":8,"complexity_ratio":13753.875,"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":2604,"base":5},"right_expr":{"type":"numeric_atoms","value":5188,"base":5}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1806,"base":5}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":4296,"base":5},"right_expr":{"type":"numeric_atoms","value":3376,"base":5}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1018,"base":5},"right_expr":{"type":"numeric_atoms","value":1291,"base":5}}}}},"used_operators":["Qtd6bqUJcN","XIIwhv8d0m","nEsXyWgiOK","Noe24qw2ks","lFBm8KRb8F","PPChnnnBFF","d7ASUq0ydm","KbjG8mgYpV"],"dependent_operators":["3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"⇑⪆12123","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2604","layer":4},{"info":"number node, value=5188","layer":4},{"info":"compute binary expreesion, left_input=2604, right_input=5188, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-5208","layer":3},{"info":"number node, value=1806","layer":4},{"info":"compute unary expreesion, input=1806, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-14856","layer":3},{"info":"compute binary expreesion, left_input=-5208, right_input=-14856, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"number node, value=4296","layer":4},{"info":"number node, value=3376","layer":4},{"info":"compute binary expreesion, left_input=4296, right_input=3376, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=18137","layer":3},{"info":"number node, value=1018","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=1291, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-21064","layer":3},{"info":"compute binary expreesion, left_input=18137, right_input=-21064, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-17180","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=-17180, 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":5,"result_base":5,"text":"≪(⇑⪆40404⨐⇑⪆131223⨻⩈⩔(⇜⇑⪆24211)⫌⩉⩟⇑⪆114141⫯⪬∳⇑⪆102001∣(⇑⪆13033∠↢⇑⪆20131))=⇑⪆12123","reverse_text":"⇑⪆12123=≪(⇑⪆40404⨐⇑⪆131223⨻⩈⩔(⇜⇑⪆24211)⫌⩉⩟⇑⪆114141⫯⪬∳⇑⪆102001∣(⇑⪆13033∠↢⇑⪆20131))","cot":[{"info":"⇑⪆40404⨐⇑⪆131223=⇑⪆-131313","layer":3},{"info":"⇜⇑⪆24211=⇑⪆-433411","layer":3},{"info":"⇑⪆-131313⨻⩈⩔⇑⪆-433411=⇑⪆-1144","layer":2},{"info":"⇑⪆114141⫯⪬∳⇑⪆102001=⇑⪆1040022","layer":3},{"info":"⇑⪆13033∠↢⇑⪆20131=⇑⪆-1133224","layer":3},{"info":"⇑⪆1040022∣⇑⪆-1133224=⇑⪆-1022210","layer":2},{"info":"⇑⪆-1144⫌⩉⩟⇑⪆-1022210=⇑⪆-200","layer":1},{"info":"≪⇑⪆-200=⇑⪆12123","layer":0}]}
{"id":945,"expression_no_base_symbol":"(⨞⊢$1653$⫁$2675$)⩼⇪↪($1373$⫸⇳$1972$≓∲$1534$↺$3906$)⊓⋫","expression":"(⨞⊢⇑⪆23103⫁⇑⪆41200)⩼⇪↪(⇑⪆20443⫸⇳⇑⪆30342≓∲⇑⪆22114↺⇑⪆111111)⊓⋫","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":196,"operation_count":7,"complexity_ratio":28.0,"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":1653,"base":5},"right_expr":{"type":"numeric_atoms","value":2675,"base":5}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1373,"base":5},"right_expr":{"type":"numeric_atoms","value":1972,"base":5}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1534,"base":5},"right_expr":{"type":"numeric_atoms","value":3906,"base":5}}}}},"used_operators":["IqGBaFP0uj","ocnLzx9CaJ","xUOZtlo3hN","0ajvFaJAv0","s1XTVnmDOJ","gx7XJ7hdpj","7j4O788W3g"],"dependent_operators":["2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd"],"result":"⇑⪆204204","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1653","layer":4},{"info":"number node, value=2675","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=2675, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-334","layer":2},{"info":"number node, value=1373","layer":4},{"info":"number node, value=1972","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=1972, 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=1534","layer":4},{"info":"number node, value=3906","layer":4},{"info":"compute binary expreesion, left_input=1534, right_input=3906, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3906","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3906, 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":2},{"info":"compute binary expreesion, left_input=-334, right_input=783, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-6932","layer":1},{"info":"compute unary expreesion, input=-6932, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=6804","layer":0}],"base":5,"result_base":5,"text":"(⨞⊢⇑⪆23103⫁⇑⪆41200)⩼⇪↪(⇑⪆20443⫸⇳⇑⪆30342≓∲⇑⪆22114↺⇑⪆111111)⊓⋫=⇑⪆204204","reverse_text":"⇑⪆204204=(⨞⊢⇑⪆23103⫁⇑⪆41200)⩼⇪↪(⇑⪆20443⫸⇳⇑⪆30342≓∲⇑⪆22114↺⇑⪆111111)⊓⋫","cot":[{"info":"⇑⪆23103⫁⇑⪆41200=⇑⪆1120","layer":3},{"info":"⨞⊢⇑⪆1120=⇑⪆-2314","layer":2},{"info":"⇑⪆20443⫸⇳⇑⪆30342=⇑⪆0","layer":3},{"info":"⇑⪆22114↺⇑⪆111111=⇑⪆111111","layer":3},{"info":"⇑⪆0≓∲⇑⪆111111=⇑⪆11113","layer":2},{"info":"⇑⪆-2314⩼⇪↪⇑⪆11113=⇑⪆-210212","layer":1},{"info":"⇑⪆-210212⊓⋫=⇑⪆204204","layer":0}]}
{"id":946,"expression_no_base_symbol":"⋗⩴⪓(($4291$⋐⇩⊬)⪶≀⋏($2980$⪍↜⋙$2334$)⇣⩺⋵($1689$⩢≌)⇡⇂($1383$⊔$8356$))","expression":"⋗⩴⪓((⇑⪆114131⋐⇩⊬)⪶≀⋏(⇑⪆43410⪍↜⋙⇑⪆33314)⇣⩺⋵(⇑⪆23224⩢≌)⇡⇂(⇑⪆21013⊔⇑⪆231411))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":242790,"operation_count":8,"complexity_ratio":30348.75,"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":4291,"base":5}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2980,"base":5},"right_expr":{"type":"numeric_atoms","value":2334,"base":5}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":1689,"base":5}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1383,"base":5},"right_expr":{"type":"numeric_atoms","value":8356,"base":5}}}}},"used_operators":["nOKPl9n5zu","F4yD0voBRQ","zR4jO40bMj","JuuLT1NoCs","L05ObWFQCd","UMwdvZNt44","D617RFjZIq","E4l6HwMY31"],"dependent_operators":["Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","hTbEZDJLEm","o20kRiQErp","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"⇑⪆31034333","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4291","layer":4},{"info":"compute unary expreesion, input=4291, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=4291","layer":3},{"info":"number node, value=2980","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=2980, right_input=2334, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=1292","layer":3},{"info":"compute binary expreesion, left_input=4291, right_input=1292, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-15689","layer":2},{"info":"number node, value=1689","layer":4},{"info":"compute unary expreesion, input=1689, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=1383","layer":4},{"info":"number node, value=8356","layer":4},{"info":"compute binary expreesion, left_input=1383, right_input=8356, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=42146","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=42146, 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=-116","layer":2},{"info":"compute binary expreesion, left_input=-15689, right_input=-116, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-62462","layer":1},{"info":"compute unary expreesion, input=-62462, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=252468","layer":0}],"base":5,"result_base":5,"text":"⋗⩴⪓((⇑⪆114131⋐⇩⊬)⪶≀⋏(⇑⪆43410⪍↜⋙⇑⪆33314)⇣⩺⋵(⇑⪆23224⩢≌)⇡⇂(⇑⪆21013⊔⇑⪆231411))=⇑⪆31034333","reverse_text":"⇑⪆31034333=⋗⩴⪓((⇑⪆114131⋐⇩⊬)⪶≀⋏(⇑⪆43410⪍↜⋙⇑⪆33314)⇣⩺⋵(⇑⪆23224⩢≌)⇡⇂(⇑⪆21013⊔⇑⪆231411))","cot":[{"info":"⇑⪆114131⋐⇩⊬=⇑⪆114131","layer":3},{"info":"⇑⪆43410⪍↜⋙⇑⪆33314=⇑⪆20132","layer":3},{"info":"⇑⪆114131⪶≀⋏⇑⪆20132=⇑⪆-1000224","layer":2},{"info":"⇑⪆23224⩢≌=⇑⪆423","layer":3},{"info":"⇑⪆21013⊔⇑⪆231411=⇑⪆2322041","layer":3},{"info":"⇑⪆423⇡⇂⇑⪆2322041=⇑⪆-431","layer":2},{"info":"⇑⪆-1000224⇣⩺⋵⇑⪆-431=⇑⪆-3444322","layer":1},{"info":"⋗⩴⪓⇑⪆-3444322=⇑⪆31034333","layer":0}]}
{"id":947,"expression_no_base_symbol":"((($1185$∖$1964$)⊾⪯⋞$1005$⩇∃⫛$5160$)≓∲$3536$⨼⩣$8508$⨪↰⇹$1150$⨑⩅≇$6146$)⊢((($6233$↳∿⪆$1042$)⫏⊷)≨($2416$∳⫺$6726$↱$3004$⇴$1777$))","expression":"(((⇑⪆14220∖⇑⪆30324)⊾⪯⋞⇑⪆13010⩇∃⫛⇑⪆131120)≓∲⇑⪆103121⨼⩣⇑⪆233013⨪↰⇹⇑⪆14100⨑⩅≇⇑⪆144041)⊢(((⇑⪆144413↳∿⪆⇑⪆13132)⫏⊷)≨(⇑⪆34131∳⫺⇑⪆203401↱⇑⪆44004⇴⇑⪆24102))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9700,"operation_count":14,"complexity_ratio":692.8571428571429,"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":1185,"base":5},"right_expr":{"type":"numeric_atoms","value":1964,"base":5}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1005,"base":5},"right_expr":{"type":"numeric_atoms","value":5160,"base":5}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3536,"base":5},"right_expr":{"type":"numeric_atoms","value":8508,"base":5}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1150,"base":5},"right_expr":{"type":"numeric_atoms","value":6146,"base":5}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":6233,"base":5},"right_expr":{"type":"numeric_atoms","value":1042,"base":5}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2416,"base":5},"right_expr":{"type":"numeric_atoms","value":6726,"base":5}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3004,"base":5},"right_expr":{"type":"numeric_atoms","value":1777,"base":5}}}}},"used_operators":["5twsqlHp2o","s1XTVnmDOJ","HK0tfVPux8","tXD093vOjl","1aApVXNlOP","tmPS8pqC7x","JxwMv5le6e","h92wMvzauj","0KMCeP1Jsh","dcShxvzhyw","Cw4SuJJGHO","SR5kFfdi6N","AzXXKTstlj","4JB6nKBMSY"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rJVOvQCfKK","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1185","layer":4},{"info":"number node, value=1964","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=1964, 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=1005","layer":4},{"info":"number node, value=5160","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=5160, 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=4628","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4628, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=8830","layer":2},{"info":"number node, value=3536","layer":4},{"info":"number node, value=8508","layer":4},{"info":"compute binary expreesion, left_input=3536, right_input=8508, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1150","layer":4},{"info":"number node, value=6146","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=6146, 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=-3450","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3450, 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=8830, 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=6233","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=6233, right_input=1042, 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 = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=nan","layer":2},{"info":"number node, value=2416","layer":4},{"info":"number node, value=6726","layer":4},{"info":"compute binary expreesion, left_input=2416, right_input=6726, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-3726","layer":3},{"info":"number node, value=3004","layer":4},{"info":"number node, value=1777","layer":4},{"info":"compute binary expreesion, left_input=3004, right_input=1777, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=21192","layer":3},{"info":"compute binary expreesion, left_input=-3726, right_input=21192, 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=-63054","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-63054, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', 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":5,"result_base":5,"text":"(((⇑⪆14220∖⇑⪆30324)⊾⪯⋞⇑⪆13010⩇∃⫛⇑⪆131120)≓∲⇑⪆103121⨼⩣⇑⪆233013⨪↰⇹⇑⪆14100⨑⩅≇⇑⪆144041)⊢(((⇑⪆144413↳∿⪆⇑⪆13132)⫏⊷)≨(⇑⪆34131∳⫺⇑⪆203401↱⇑⪆44004⇴⇑⪆24102))=NaN","reverse_text":"NaN=(((⇑⪆14220∖⇑⪆30324)⊾⪯⋞⇑⪆13010⩇∃⫛⇑⪆131120)≓∲⇑⪆103121⨼⩣⇑⪆233013⨪↰⇹⇑⪆14100⨑⩅≇⇑⪆144041)⊢(((⇑⪆144413↳∿⪆⇑⪆13132)⫏⊷)≨(⇑⪆34131∳⫺⇑⪆203401↱⇑⪆44004⇴⇑⪆24102))","cot":[{"info":"⇑⪆14220∖⇑⪆30324=⇑⪆0","layer":3},{"info":"⇑⪆13010⩇∃⫛⇑⪆131120=⇑⪆122003","layer":3},{"info":"⇑⪆0⊾⪯⋞⇑⪆122003=⇑⪆240310","layer":2},{"info":"⇑⪆103121⨼⩣⇑⪆233013=NaN","layer":3},{"info":"⇑⪆14100⨑⩅≇⇑⪆144041=⇑⪆-102300","layer":3},{"info":"NaN⨪↰⇹⇑⪆-102300=NaN","layer":2},{"info":"⇑⪆240310≓∲NaN=NaN","layer":1},{"info":"⇑⪆144413↳∿⪆⇑⪆13132=NaN","layer":3},{"info":"NaN⫏⊷=NaN","layer":2},{"info":"⇑⪆34131∳⫺⇑⪆203401=⇑⪆-104401","layer":3},{"info":"⇑⪆44004⇴⇑⪆24102=⇑⪆1134232","layer":3},{"info":"⇑⪆-104401↱⇑⪆1134232=⇑⪆-4004204","layer":2},{"info":"NaN≨⇑⪆-4004204=NaN","layer":1},{"info":"NaN⊢NaN=NaN","layer":0}]}
{"id":948,"expression_no_base_symbol":"(($1818$⪣⫩)≫≃)≚⊃≕(($1247$⩍⋽⫝̸$4312$)⩉⊫⨁)⩵∡((↡($2955$⇴∐$1489$))∧)","expression":"((⇑⪆24233⪣⫩)≫≃)≚⊃≕((⇑⪆14442⩍⋽⫝̸⇑⪆114222)⩉⊫⨁)⩵∡((↡(⇑⪆43310⇴∐⇑⪆21424))∧)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":98,"operation_count":9,"complexity_ratio":10.88888888888889,"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":1818,"base":5}}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1247,"base":5},"right_expr":{"type":"numeric_atoms","value":4312,"base":5}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2955,"base":5},"right_expr":{"type":"numeric_atoms","value":1489,"base":5}}}}},"used_operators":["Y7wcNGrDQJ","Bmrmz2XGnR","X99M06cbEe","iuk5sVOGFA","7qqUquhhSb","BiWNJpBvwn","z63VuFQld9","MXaNJeIAZ3","HnzytWxmAO"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","7j4O788W3g","Ph9nP6C5qx","xUOZtlo3hN","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1818","layer":4},{"info":"compute unary expreesion, input=1818, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=5421","layer":3},{"info":"compute unary expreesion, input=5421, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=12243","layer":2},{"info":"number node, value=1247","layer":4},{"info":"number node, value=4312","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=4312, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3366","layer":3},{"info":"compute unary expreesion, input=3366, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=3366","layer":2},{"info":"compute binary expreesion, left_input=12243, right_input=3366, 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=2955","layer":4},{"info":"number node, value=1489","layer":4},{"info":"compute binary expreesion, left_input=2955, right_input=1489, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆24233⪣⫩)≫≃)≚⊃≕((⇑⪆14442⩍⋽⫝̸⇑⪆114222)⩉⊫⨁)⩵∡((↡(⇑⪆43310⇴∐⇑⪆21424))∧)=NaN","reverse_text":"NaN=((⇑⪆24233⪣⫩)≫≃)≚⊃≕((⇑⪆14442⩍⋽⫝̸⇑⪆114222)⩉⊫⨁)⩵∡((↡(⇑⪆43310⇴∐⇑⪆21424))∧)","cot":[{"info":"⇑⪆24233⪣⫩=⇑⪆133141","layer":3},{"info":"⇑⪆133141≫≃=⇑⪆342433","layer":2},{"info":"⇑⪆14442⩍⋽⫝̸⇑⪆114222=⇑⪆101431","layer":3},{"info":"⇑⪆101431⩉⊫⨁=⇑⪆101431","layer":2},{"info":"⇑⪆342433≚⊃≕⇑⪆101431=⇑⪆232","layer":1},{"info":"⇑⪆43310⇴∐⇑⪆21424=NaN","layer":3},{"info":"↡NaN=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"⇑⪆232⩵∡NaN=NaN","layer":0}]}
{"id":949,"expression_no_base_symbol":"(($4802$⩇∃⫛$1333$)→⨶⪴($1277$∪⫐$2275$))≌(($1722$⫚↹⊑$6524$)⫿)≎⊠⪸(($1624$∠⫱$1639$)⨹)≨((⇖⫷⫕$6800$)≬⋮$2834$⪄$2797$)","expression":"((⇑⪆123202⩇∃⫛⇑⪆20313)→⨶⪴(⇑⪆20102∪⫐⇑⪆33100))≌((⇑⪆23342⫚↹⊑⇑⪆202044)⫿)≎⊠⪸((⇑⪆22444∠⫱⇑⪆23024)⨹)≨((⇖⫷⫕⇑⪆204200)≬⋮⇑⪆42314⪄⇑⪆42142)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":809909,"operation_count":13,"complexity_ratio":62300.692307692305,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":4802,"base":5},"right_expr":{"type":"numeric_atoms","value":1333,"base":5}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1277,"base":5},"right_expr":{"type":"numeric_atoms","value":2275,"base":5}}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1722,"base":5},"right_expr":{"type":"numeric_atoms","value":6524,"base":5}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1624,"base":5},"right_expr":{"type":"numeric_atoms","value":1639,"base":5}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":6800,"base":5}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2834,"base":5},"right_expr":{"type":"numeric_atoms","value":2797,"base":5}}}}},"used_operators":["bJkvcejdHO","lyWz822IDG","bF6eod5Gvf","1aApVXNlOP","7YooWSwCyH","9tKT6PmtkH","dfKe02y8D2","0KMCeP1Jsh","UnCoSGIALn","QvoQhV0rrE","kbkesczE7y","UHmRx3INFg","SUmda5xLS4"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rJVOvQCfKK","2DDjHMKMc0","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","mp7IySMOzn","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⇑⪆232","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4802","layer":4},{"info":"number node, value=1333","layer":4},{"info":"compute binary expreesion, left_input=4802, right_input=1333, 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=-2996","layer":3},{"info":"number node, value=1277","layer":4},{"info":"number node, value=2275","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=2275, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1277","layer":3},{"info":"compute binary expreesion, left_input=-2996, right_input=1277, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3831","layer":2},{"info":"number node, value=1722","layer":4},{"info":"number node, value=6524","layer":4},{"info":"compute binary expreesion, left_input=1722, right_input=6524, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=894","layer":2},{"info":"compute binary expreesion, left_input=-3831, right_input=894, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=12668","layer":1},{"info":"number node, value=1624","layer":4},{"info":"number node, value=1639","layer":4},{"info":"compute binary expreesion, left_input=1624, right_input=1639, 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 = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=2468","layer":2},{"info":"number node, value=6800","layer":4},{"info":"compute unary expreesion, input=6800, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=2834","layer":4},{"info":"number node, value=2797","layer":4},{"info":"compute binary expreesion, left_input=2834, right_input=2797, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-426709","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-426709, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=2468, right_input=868, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-22204","layer":1},{"info":"compute binary expreesion, left_input=12668, right_input=-22204, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆123202⩇∃⫛⇑⪆20313)→⨶⪴(⇑⪆20102∪⫐⇑⪆33100))≌((⇑⪆23342⫚↹⊑⇑⪆202044)⫿)≎⊠⪸((⇑⪆22444∠⫱⇑⪆23024)⨹)≨((⇖⫷⫕⇑⪆204200)≬⋮⇑⪆42314⪄⇑⪆42142)=⇑⪆232","reverse_text":"⇑⪆232=((⇑⪆123202⩇∃⫛⇑⪆20313)→⨶⪴(⇑⪆20102∪⫐⇑⪆33100))≌((⇑⪆23342⫚↹⊑⇑⪆202044)⫿)≎⊠⪸((⇑⪆22444∠⫱⇑⪆23024)⨹)≨((⇖⫷⫕⇑⪆204200)≬⋮⇑⪆42314⪄⇑⪆42142)","cot":[{"info":"⇑⪆123202⩇∃⫛⇑⪆20313=⇑⪆-43441","layer":3},{"info":"⇑⪆20102∪⫐⇑⪆33100=⇑⪆20102","layer":3},{"info":"⇑⪆-43441→⨶⪴⇑⪆20102=⇑⪆-110311","layer":2},{"info":"⇑⪆23342⫚↹⊑⇑⪆202044=⇑⪆-3242","layer":3},{"info":"⇑⪆-3242⫿=⇑⪆12034","layer":2},{"info":"⇑⪆-110311≌⇑⪆12034=⇑⪆401133","layer":1},{"info":"⇑⪆22444∠⫱⇑⪆23024=⇑⪆14414","layer":3},{"info":"⇑⪆14414⨹=⇑⪆34333","layer":2},{"info":"⇖⫷⫕⇑⪆204200=⇑⪆42242","layer":3},{"info":"⇑⪆42314⪄⇑⪆42142=⇑⪆-102123314","layer":3},{"info":"⇑⪆42242≬⋮⇑⪆-102123314=⇑⪆11433","layer":2},{"info":"⇑⪆34333≨⇑⪆11433=⇑⪆-1202304","layer":1},{"info":"⇑⪆401133≎⊠⪸⇑⪆-1202304=⇑⪆232","layer":0}]}
{"id":950,"expression_no_base_symbol":"⋂((($4462$∪⫐$4716$)⊴⇁⪶)⇴∐($1051$⨐$7560$)⪃⊛⇣($3557$⊉↱≁$3245$))","expression":"⋂(((⇑⪆120322∪⫐⇑⪆122331)⊴⇁⪶)⇴∐(⇑⪆13201⨐⇑⪆220220)⪃⊛⇣(⇑⪆103212⊉↱≁⇑⪆100440))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5264,"operation_count":7,"complexity_ratio":752.0,"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":4462,"base":5},"right_expr":{"type":"numeric_atoms","value":4716,"base":5}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1051,"base":5},"right_expr":{"type":"numeric_atoms","value":7560,"base":5}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3557,"base":5},"right_expr":{"type":"numeric_atoms","value":3245,"base":5}}}}},"used_operators":["BUOGQAYlQx","HnzytWxmAO","oo9mF6JIpo","7YooWSwCyH","rrgAzCduG9","Noe24qw2ks","w2P8NbNXyL"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","rJVOvQCfKK","2DDjHMKMc0","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4462","layer":4},{"info":"number node, value=4716","layer":4},{"info":"compute binary expreesion, left_input=4462, right_input=4716, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=4462","layer":3},{"info":"compute unary expreesion, input=4462, 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=90486","layer":2},{"info":"number node, value=1051","layer":4},{"info":"number node, value=7560","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=7560, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2102","layer":3},{"info":"number node, value=3557","layer":4},{"info":"number node, value=3245","layer":4},{"info":"compute binary expreesion, left_input=3557, right_input=3245, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=16048","layer":3},{"info":"compute binary expreesion, left_input=-2102, right_input=16048, 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=90486, right_input=1234, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟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":5,"result_base":5,"text":"⋂(((⇑⪆120322∪⫐⇑⪆122331)⊴⇁⪶)⇴∐(⇑⪆13201⨐⇑⪆220220)⪃⊛⇣(⇑⪆103212⊉↱≁⇑⪆100440))=NaN","reverse_text":"NaN=⋂(((⇑⪆120322∪⫐⇑⪆122331)⊴⇁⪶)⇴∐(⇑⪆13201⨐⇑⪆220220)⪃⊛⇣(⇑⪆103212⊉↱≁⇑⪆100440))","cot":[{"info":"⇑⪆120322∪⫐⇑⪆122331=⇑⪆120322","layer":3},{"info":"⇑⪆120322⊴⇁⪶=⇑⪆10343421","layer":2},{"info":"⇑⪆13201⨐⇑⪆220220=⇑⪆-31402","layer":3},{"info":"⇑⪆103212⊉↱≁⇑⪆100440=⇑⪆1003143","layer":3},{"info":"⇑⪆-31402⪃⊛⇣⇑⪆1003143=⇑⪆14414","layer":2},{"info":"⇑⪆10343421⇴∐⇑⪆14414=NaN","layer":1},{"info":"⋂NaN=NaN","layer":0}]}
{"id":951,"expression_no_base_symbol":"($2143$⩖⊿$1691$⪉⨛$3713$⩍⋽⫝̸$1418$)⩣⫁∢(⩷$6679$)≦↸$4553$⨔⇊$5649$→⨶⪴(⇾⩊⇾((≑⋹$2768$)↫))","expression":"(⇑⪆32033⩖⊿⇑⪆23231⪉⨛⇑⪆104323⩍⋽⫝̸⇑⪆21133)⩣⫁∢(⩷⇑⪆203204)≦↸⇑⪆121203⨔⇊⇑⪆140044→⨶⪴(⇾⩊⇾((≑⋹⇑⪆42033)↫))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":238,"operation_count":11,"complexity_ratio":21.636363636363637,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2143,"base":5},"right_expr":{"type":"numeric_atoms","value":1691,"base":5}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":3713,"base":5},"right_expr":{"type":"numeric_atoms","value":1418,"base":5}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":6679,"base":5}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4553,"base":5},"right_expr":{"type":"numeric_atoms","value":5649,"base":5}}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":2768,"base":5}}}}},"used_operators":["bF6eod5Gvf","JDUIKTTSIa","EWw2JM7wp4","RZ5CV9rWsJ","BiWNJpBvwn","RygbFNSyEJ","1h0rLqGiFr","JclMnS0uGI","bx9Z9DAK5y","uPb5QRN0te","6B9nyZLogK"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","Ph9nP6C5qx","xUOZtlo3hN","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"⇑⪆-2310233","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2143","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=2143, right_input=1691, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=4874","layer":3},{"info":"number node, value=3713","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=3713, right_input=1418, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=472","layer":3},{"info":"compute binary expreesion, left_input=4874, right_input=472, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=14365","layer":2},{"info":"number node, value=6679","layer":4},{"info":"compute unary expreesion, input=6679, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-80227","layer":3},{"info":"number node, value=4553","layer":4},{"info":"number node, value=5649","layer":4},{"info":"compute binary expreesion, left_input=4553, right_input=5649, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5649","layer":3},{"info":"compute binary expreesion, left_input=-80227, right_input=5649, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=149837","layer":2},{"info":"compute binary expreesion, left_input=14365, right_input=149837, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-28569","layer":1},{"info":"number node, value=2768","layer":4},{"info":"compute unary expreesion, input=2768, 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 = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-7926","layer":1},{"info":"compute binary expreesion, left_input=-28569, right_input=-7926, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-41318","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆32033⩖⊿⇑⪆23231⪉⨛⇑⪆104323⩍⋽⫝̸⇑⪆21133)⩣⫁∢(⩷⇑⪆203204)≦↸⇑⪆121203⨔⇊⇑⪆140044→⨶⪴(⇾⩊⇾((≑⋹⇑⪆42033)↫))=⇑⪆-2310233","reverse_text":"⇑⪆-2310233=(⇑⪆32033⩖⊿⇑⪆23231⪉⨛⇑⪆104323⩍⋽⫝̸⇑⪆21133)⩣⫁∢(⩷⇑⪆203204)≦↸⇑⪆121203⨔⇊⇑⪆140044→⨶⪴(⇾⩊⇾((≑⋹⇑⪆42033)↫))","cot":[{"info":"⇑⪆32033⩖⊿⇑⪆23231=⇑⪆123444","layer":3},{"info":"⇑⪆104323⩍⋽⫝̸⇑⪆21133=⇑⪆3342","layer":3},{"info":"⇑⪆123444⪉⨛⇑⪆3342=⇑⪆424430","layer":2},{"info":"⩷⇑⪆203204=⇑⪆-10031402","layer":3},{"info":"⇑⪆121203⨔⇊⇑⪆140044=⇑⪆140044","layer":3},{"info":"⇑⪆-10031402≦↸⇑⪆140044=⇑⪆14243322","layer":2},{"info":"⇑⪆424430⩣⫁∢⇑⪆14243322=⇑⪆-1403234","layer":1},{"info":"≑⋹⇑⪆42033=⇑⪆23100","layer":3},{"info":"⇑⪆23100↫=⇑⪆1120","layer":2},{"info":"⇾⩊⇾⇑⪆1120=⇑⪆-223201","layer":1},{"info":"⇑⪆-1403234→⨶⪴⇑⪆-223201=⇑⪆-2310233","layer":0}]}
{"id":952,"expression_no_base_symbol":"(($3484$⇌⫙⪟$6651$⇣⩺⋵(⪫⨮⊛$5845$))⫩)≬⇓(($2891$⋷$4839$)⫳≱↱$1968$⇴$2905$)⩇∃⫛($1011$↢$2758$⋻⩜⩜$3395$⨼⩣$5825$)","expression":"((⇑⪆102414⇌⫙⪟⇑⪆203101⇣⩺⋵(⪫⨮⊛⇑⪆141340))⫩)≬⇓((⇑⪆43031⋷⇑⪆123324)⫳≱↱⇑⪆30333⇴⇑⪆43110)⩇∃⫛(⇑⪆13021↢⇑⪆42013⋻⩜⩜⇑⪆102040⨼⩣⇑⪆141300)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3540266,"operation_count":12,"complexity_ratio":295022.1666666667,"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":3484,"base":5},"right_expr":{"type":"numeric_atoms","value":6651,"base":5}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":5845,"base":5}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2891,"base":5},"right_expr":{"type":"numeric_atoms","value":4839,"base":5}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1968,"base":5},"right_expr":{"type":"numeric_atoms","value":2905,"base":5}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1011,"base":5},"right_expr":{"type":"numeric_atoms","value":2758,"base":5}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3395,"base":5},"right_expr":{"type":"numeric_atoms","value":5825,"base":5}}}}},"used_operators":["jWTQ2TZYIH","6aG7x05OhS","F4yD0voBRQ","AFVx7xoS7T","w5FWba1tyO","1aApVXNlOP","ZvLB05nZmT","23Mk6UjR3U","4JB6nKBMSY","oDCm7WA9JY","WR6HLWljOP","JxwMv5le6e"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","dWAJyo7jo9","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"⇑⪆-42","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3484","layer":4},{"info":"number node, value=6651","layer":4},{"info":"compute binary expreesion, left_input=3484, right_input=6651, 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=5845","layer":4},{"info":"compute unary expreesion, input=5845, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, 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 = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=2891","layer":4},{"info":"number node, value=4839","layer":4},{"info":"compute binary expreesion, left_input=2891, right_input=4839, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6787","layer":3},{"info":"number node, value=1968","layer":4},{"info":"number node, value=2905","layer":4},{"info":"compute binary expreesion, left_input=1968, right_input=2905, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=17232","layer":3},{"info":"compute binary expreesion, left_input=6787, right_input=17232, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=1011","layer":4},{"info":"number node, value=2758","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=2758, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=527","layer":3},{"info":"number node, value=3395","layer":4},{"info":"number node, value=5825","layer":4},{"info":"compute binary expreesion, left_input=3395, right_input=5825, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=527, 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=1054","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=1054, 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=-204","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆102414⇌⫙⪟⇑⪆203101⇣⩺⋵(⪫⨮⊛⇑⪆141340))⫩)≬⇓((⇑⪆43031⋷⇑⪆123324)⫳≱↱⇑⪆30333⇴⇑⪆43110)⩇∃⫛(⇑⪆13021↢⇑⪆42013⋻⩜⩜⇑⪆102040⨼⩣⇑⪆141300)=⇑⪆-42","reverse_text":"⇑⪆-42=((⇑⪆102414⇌⫙⪟⇑⪆203101⇣⩺⋵(⪫⨮⊛⇑⪆141340))⫩)≬⇓((⇑⪆43031⋷⇑⪆123324)⫳≱↱⇑⪆30333⇴⇑⪆43110)⩇∃⫛(⇑⪆13021↢⇑⪆42013⋻⩜⩜⇑⪆102040⨼⩣⇑⪆141300)","cot":[{"info":"⇑⪆102414⇌⫙⪟⇑⪆203101=⇑⪆423","layer":3},{"info":"⪫⨮⊛⇑⪆141340=NaN","layer":3},{"info":"⇑⪆423⇣⩺⋵NaN=⇑⪆-2020","layer":2},{"info":"⇑⪆-2020⫩=NaN","layer":1},{"info":"⇑⪆43031⋷⇑⪆123324=⇑⪆204122","layer":3},{"info":"⇑⪆30333⇴⇑⪆43110=⇑⪆1022412","layer":3},{"info":"⇑⪆204122⫳≱↱⇑⪆1022412=⇑⪆-1304","layer":2},{"info":"⇑⪆13021↢⇑⪆42013=⇑⪆4102","layer":3},{"info":"⇑⪆102040⨼⩣⇑⪆141300=NaN","layer":3},{"info":"⇑⪆4102⋻⩜⩜NaN=⇑⪆13204","layer":2},{"info":"⇑⪆-1304⩇∃⫛⇑⪆13204=⇑⪆-1304","layer":1},{"info":"NaN≬⇓⇑⪆-1304=⇑⪆-42","layer":0}]}
{"id":953,"expression_no_base_symbol":"((⪓⩚$6290$)⨲∙)⨓(($4366$⫚↹⊑$5594$)≋⫹)≒∊($3792$⪔⊥$1915$⇄$1057$⪬$5452$)≎⪠($1492$⪒⊣⊆$6913$⫥∨⫟($1081$≬⇓$2349$))","expression":"((⪓⩚⇑⪆200130)⨲∙)⨓((⇑⪆114431⫚↹⊑⇑⪆134334)≋⫹)≒∊(⇑⪆110132⪔⊥⇑⪆30130⇄⇑⪆13212⪬⇑⪆133302)≎⪠(⇑⪆21432⪒⊣⊆⇑⪆210123⫥∨⫟(⇑⪆13311≬⇓⇑⪆33344))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":24600,"operation_count":13,"complexity_ratio":1892.3076923076924,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":6290,"base":5}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":4366,"base":5},"right_expr":{"type":"numeric_atoms","value":5594,"base":5}}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3792,"base":5},"right_expr":{"type":"numeric_atoms","value":1915,"base":5}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1057,"base":5},"right_expr":{"type":"numeric_atoms","value":5452,"base":5}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1492,"base":5},"right_expr":{"type":"numeric_atoms","value":6913,"base":5}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1081,"base":5},"right_expr":{"type":"numeric_atoms","value":2349,"base":5}}}}},"used_operators":["5KTvxBwnZo","3ViojmjbAp","cRahaglYVE","u0R0Locfp2","N41Kp7NANJ","dfKe02y8D2","aNhz54LH3e","3EYGwJThht","HJ9erzHUuu","Ez1Nq5fNfI","KYD54nUTWz","eRqsBgTDFp","jWTQ2TZYIH"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","W4YGzv6Whe","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"⇑⪆21011","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6290","layer":4},{"info":"compute unary expreesion, input=6290, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute unary expreesion, input=426, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=3991950","layer":2},{"info":"number node, value=4366","layer":4},{"info":"number node, value=5594","layer":4},{"info":"compute binary expreesion, left_input=4366, right_input=5594, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=894","layer":2},{"info":"compute binary expreesion, left_input=3991950, right_input=894, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-897","layer":1},{"info":"number node, value=3792","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=3792, right_input=1915, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=11139","layer":3},{"info":"number node, value=1057","layer":4},{"info":"number node, value=5452","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=5452, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=11139, right_input=1234, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=1492","layer":4},{"info":"number node, value=6913","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=6913, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2984","layer":3},{"info":"number node, value=1081","layer":4},{"info":"number node, value=2349","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=2349, 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=2984, right_input=-22, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute binary expreesion, left_input=-897, right_input=19558, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=1381","layer":0}],"base":5,"result_base":5,"text":"((⪓⩚⇑⪆200130)⨲∙)⨓((⇑⪆114431⫚↹⊑⇑⪆134334)≋⫹)≒∊(⇑⪆110132⪔⊥⇑⪆30130⇄⇑⪆13212⪬⇑⪆133302)≎⪠(⇑⪆21432⪒⊣⊆⇑⪆210123⫥∨⫟(⇑⪆13311≬⇓⇑⪆33344))=⇑⪆21011","reverse_text":"⇑⪆21011=((⪓⩚⇑⪆200130)⨲∙)⨓((⇑⪆114431⫚↹⊑⇑⪆134334)≋⫹)≒∊(⇑⪆110132⪔⊥⇑⪆30130⇄⇑⪆13212⪬⇑⪆133302)≎⪠(⇑⪆21432⪒⊣⊆⇑⪆210123⫥∨⫟(⇑⪆13311≬⇓⇑⪆33344))","cot":[{"info":"⪓⩚⇑⪆200130=⇑⪆3201","layer":3},{"info":"⇑⪆3201⨲∙=⇑⪆2010220300","layer":2},{"info":"⇑⪆114431⫚↹⊑⇑⪆134334=⇑⪆-3242","layer":3},{"info":"⇑⪆-3242≋⫹=⇑⪆12034","layer":2},{"info":"⇑⪆2010220300⨓⇑⪆12034=⇑⪆-12042","layer":1},{"info":"⇑⪆110132⪔⊥⇑⪆30130=⇑⪆324024","layer":3},{"info":"⇑⪆13212⪬⇑⪆133302=⇑⪆14414","layer":3},{"info":"⇑⪆324024⇄⇑⪆14414=⇑⪆0","layer":2},{"info":"⇑⪆21432⪒⊣⊆⇑⪆210123=⇑⪆43414","layer":3},{"info":"⇑⪆13311≬⇓⇑⪆33344=⇑⪆-42","layer":3},{"info":"⇑⪆43414⫥∨⫟⇑⪆-42=NaN","layer":2},{"info":"⇑⪆0≎⪠NaN=⇑⪆1111213","layer":1},{"info":"⇑⪆-12042≒∊⇑⪆1111213=⇑⪆21011","layer":0}]}
{"id":954,"expression_no_base_symbol":"(((⨑⩽⪐$5729$)⇚⪠)∲⫓(≉$2056$⨔⇊$1425$))≚⊃≕($1802$≄⊠$1980$⪛⫼$1476$⩇∃⫛$4108$⨵⪆($1788$∓⋝$3180$)↢($6815$↡⊰⫅$1025$))","expression":"(((⨑⩽⪐⇑⪆140404)⇚⪠)∲⫓(≉⇑⪆31211⨔⇊⇑⪆21200))≚⊃≕(⇑⪆24202≄⊠⇑⪆30410⪛⫼⇑⪆21401⩇∃⫛⇑⪆112413⨵⪆(⇑⪆24123∓⋝⇑⪆100210)↢(⇑⪆204230↡⊰⫅⇑⪆13100))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20775,"operation_count":13,"complexity_ratio":1598.076923076923,"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":5729,"base":5}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2056,"base":5},"right_expr":{"type":"numeric_atoms","value":1425,"base":5}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1802,"base":5},"right_expr":{"type":"numeric_atoms","value":1980,"base":5}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1476,"base":5},"right_expr":{"type":"numeric_atoms","value":4108,"base":5}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1788,"base":5},"right_expr":{"type":"numeric_atoms","value":3180,"base":5}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":6815,"base":5},"right_expr":{"type":"numeric_atoms","value":1025,"base":5}}}}},"used_operators":["Bmrmz2XGnR","i8ToyICDmI","Loh9y4A90B","AF7qkfDlqP","e1ybzncUwg","JclMnS0uGI","2DQ55sFlQl","hyuBjUqXlG","vXNesLlMH1","1aApVXNlOP","WR6HLWljOP","PoHhknlbAi","VCtxkLNOzz"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"⇑⪆-111401","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5729","layer":4},{"info":"compute unary expreesion, input=5729, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5456","layer":3},{"info":"compute unary expreesion, input=-5456, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=-31841216","layer":2},{"info":"number node, value=2056","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=2056, right_input=1425, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1425","layer":3},{"info":"compute unary expreesion, input=1425, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1956","layer":2},{"info":"compute binary expreesion, left_input=-31841216, right_input=1956, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1802","layer":4},{"info":"number node, value=1980","layer":4},{"info":"compute binary expreesion, left_input=1802, right_input=1980, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=36348","layer":3},{"info":"number node, value=1476","layer":4},{"info":"number node, value=4108","layer":4},{"info":"compute binary expreesion, left_input=1476, right_input=4108, 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=3105","layer":3},{"info":"compute binary expreesion, left_input=36348, right_input=3105, 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=1788","layer":4},{"info":"number node, value=3180","layer":4},{"info":"compute binary expreesion, left_input=1788, right_input=3180, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=6815","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=6815, right_input=1025, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2050","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=2050, 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=968, right_input=-484, 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 = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-3976","layer":0}],"base":5,"result_base":5,"text":"(((⨑⩽⪐⇑⪆140404)⇚⪠)∲⫓(≉⇑⪆31211⨔⇊⇑⪆21200))≚⊃≕(⇑⪆24202≄⊠⇑⪆30410⪛⫼⇑⪆21401⩇∃⫛⇑⪆112413⨵⪆(⇑⪆24123∓⋝⇑⪆100210)↢(⇑⪆204230↡⊰⫅⇑⪆13100))=⇑⪆-111401","reverse_text":"⇑⪆-111401=(((⨑⩽⪐⇑⪆140404)⇚⪠)∲⫓(≉⇑⪆31211⨔⇊⇑⪆21200))≚⊃≕(⇑⪆24202≄⊠⇑⪆30410⪛⫼⇑⪆21401⩇∃⫛⇑⪆112413⨵⪆(⇑⪆24123∓⋝⇑⪆100210)↢(⇑⪆204230↡⊰⫅⇑⪆13100))","cot":[{"info":"⨑⩽⪐⇑⪆140404=⇑⪆-133311","layer":3},{"info":"⇑⪆-133311⇚⪠=⇑⪆-31122404331","layer":2},{"info":"⇑⪆31211⨔⇊⇑⪆21200=⇑⪆21200","layer":3},{"info":"≉⇑⪆21200=⇑⪆30311","layer":2},{"info":"⇑⪆-31122404331∲⫓⇑⪆30311=⇑⪆0","layer":1},{"info":"⇑⪆24202≄⊠⇑⪆30410=⇑⪆2130343","layer":3},{"info":"⇑⪆21401⩇∃⫛⇑⪆112413=⇑⪆44410","layer":3},{"info":"⇑⪆2130343⪛⫼⇑⪆44410=⇑⪆12333","layer":2},{"info":"⇑⪆24123∓⋝⇑⪆100210=⇑⪆232","layer":3},{"info":"⇑⪆204230↡⊰⫅⇑⪆13100=⇑⪆31200","layer":3},{"info":"⇑⪆232↢⇑⪆31200=⇑⪆-3414","layer":2},{"info":"⇑⪆12333⨵⪆⇑⪆-3414=⇑⪆1120","layer":1},{"info":"⇑⪆0≚⊃≕⇑⪆1120=⇑⪆-111401","layer":0}]}
{"id":955,"expression_no_base_symbol":"((≀↧⇸$1745$⩼⇪↪$6673$)⪮%⊝(⊑($6498$⇯⋐)))∣(⇐($6236$→⨶⪴$2103$⫸⊐(+⊝⨔$8081$)))","expression":"((≀↧⇸⇑⪆23440⩼⇪↪⇑⪆203143)⪮%⊝(⊑(⇑⪆201443⇯⋐)))∣(⇐(⇑⪆144421→⨶⪴⇑⪆31403⫸⊐(+⊝⨔⇑⪆224311)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":556,"operation_count":10,"complexity_ratio":55.6,"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":1745,"base":5},"right_expr":{"type":"numeric_atoms","value":6673,"base":5}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":6498,"base":5}}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":6236,"base":5},"right_expr":{"type":"numeric_atoms","value":2103,"base":5}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":8081,"base":5}}}}},"used_operators":["PPChnnnBFF","IWmyXbctLI","ljTHtUsqzn","ocnLzx9CaJ","IkUmn0D7oy","LkLIoiE525","nmZMaaE0Q9","mqXw5SEYmG","bF6eod5Gvf","DhbWaqg5eL"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XPYlsWDdGa","23Mk6UjR3U","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","9FxExcQeMw","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⇑⪆42233343","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1745","layer":4},{"info":"number node, value=6673","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=6673, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-44004","layer":3},{"info":"compute unary expreesion, input=-44004, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=176016","layer":2},{"info":"number node, value=6498","layer":4},{"info":"compute unary expreesion, input=6498, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=20372","layer":3},{"info":"compute unary expreesion, input=20372, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=176016, right_input=192, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=352348","layer":1},{"info":"number node, value=6236","layer":4},{"info":"number node, value=2103","layer":4},{"info":"compute binary expreesion, left_input=6236, right_input=2103, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-6309","layer":3},{"info":"number node, value=8081","layer":4},{"info":"compute unary expreesion, input=8081, 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=-6309, right_input=1522, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute unary expreesion, input=968, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=1050","layer":1},{"info":"compute binary expreesion, left_input=352348, right_input=1050, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=352348","layer":0}],"base":5,"result_base":5,"text":"((≀↧⇸⇑⪆23440⩼⇪↪⇑⪆203143)⪮%⊝(⊑(⇑⪆201443⇯⋐)))∣(⇐(⇑⪆144421→⨶⪴⇑⪆31403⫸⊐(+⊝⨔⇑⪆224311)))=⇑⪆42233343","reverse_text":"⇑⪆42233343=((≀↧⇸⇑⪆23440⩼⇪↪⇑⪆203143)⪮%⊝(⊑(⇑⪆201443⇯⋐)))∣(⇐(⇑⪆144421→⨶⪴⇑⪆31403⫸⊐(+⊝⨔⇑⪆224311)))","cot":[{"info":"⇑⪆23440⩼⇪↪⇑⪆203143=⇑⪆-2402004","layer":3},{"info":"≀↧⇸⇑⪆-2402004=⇑⪆21113031","layer":2},{"info":"⇑⪆201443⇯⋐=⇑⪆1122442","layer":3},{"info":"⊑⇑⪆1122442=⇑⪆1232","layer":2},{"info":"⇑⪆21113031⪮%⊝⇑⪆1232=⇑⪆42233343","layer":1},{"info":"⇑⪆144421→⨶⪴⇑⪆31403=⇑⪆-200214","layer":3},{"info":"+⊝⨔⇑⪆224311=⇑⪆22042","layer":3},{"info":"⇑⪆-200214⫸⊐⇑⪆22042=⇑⪆12333","layer":2},{"info":"⇐⇑⪆12333=⇑⪆13200","layer":1},{"info":"⇑⪆42233343∣⇑⪆13200=⇑⪆42233343","layer":0}]}
{"id":956,"expression_no_base_symbol":"(≪($2422$⨿$2374$⪛($1202$⨚⇆$1726$)))⨑≵⋬($7098$∼$5508$⩇∃⫛(⪫⨮⊛$6196$))⨪↰⇹($4070$≠≀$2229$)⫘($7079$⋹)","expression":"(≪(⇑⪆34142⨿⇑⪆33444⪛(⇑⪆14302⨚⇆⇑⪆23401)))⨑≵⋬(⇑⪆211343∼⇑⪆134013⩇∃⫛(⪫⨮⊛⇑⪆144241))⨪↰⇹(⇑⪆112240≠≀⇑⪆32404)⫘(⇑⪆211304⋹)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3769625,"operation_count":12,"complexity_ratio":314135.4166666667,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2422,"base":5},"right_expr":{"type":"numeric_atoms","value":2374,"base":5}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1202,"base":5},"right_expr":{"type":"numeric_atoms","value":1726,"base":5}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7098,"base":5},"right_expr":{"type":"numeric_atoms","value":5508,"base":5}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":6196,"base":5}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":4070,"base":5},"right_expr":{"type":"numeric_atoms","value":2229,"base":5}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":7079,"base":5}}}}},"used_operators":["XnXgA4xnOs","Qtd6bqUJcN","uFcxV4UQCh","abYXlopdE0","lwHaAYXP2r","tmPS8pqC7x","1aApVXNlOP","DyGG3AbaNP","w5FWba1tyO","48vC8HMD2b","IwW236VD4Y","opAxDRczMr"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2422","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=2422, right_input=2374, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=1202","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=1726, 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=-319, 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 = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":1},{"info":"number node, value=7098","layer":4},{"info":"number node, value=5508","layer":4},{"info":"compute binary expreesion, left_input=7098, right_input=5508, 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=6196","layer":4},{"info":"compute unary expreesion, input=6196, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":2},{"info":"number node, value=4070","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=4070, right_input=2229, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-7834","layer":3},{"info":"number node, value=7079","layer":4},{"info":"compute unary expreesion, input=7079, 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=-7834, right_input=-20, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=34537679","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=34537679, 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=913, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(≪(⇑⪆34142⨿⇑⪆33444⪛(⇑⪆14302⨚⇆⇑⪆23401)))⨑≵⋬(⇑⪆211343∼⇑⪆134013⩇∃⫛(⪫⨮⊛⇑⪆144241))⨪↰⇹(⇑⪆112240≠≀⇑⪆32404)⫘(⇑⪆211304⋹)=NaN","reverse_text":"NaN=(≪(⇑⪆34142⨿⇑⪆33444⪛(⇑⪆14302⨚⇆⇑⪆23401)))⨑≵⋬(⇑⪆211343∼⇑⪆134013⩇∃⫛(⪫⨮⊛⇑⪆144241))⨪↰⇹(⇑⪆112240≠≀⇑⪆32404)⫘(⇑⪆211304⋹)","cot":[{"info":"⇑⪆34142⨿⇑⪆33444=⇑⪆-2234","layer":3},{"info":"⇑⪆14302⨚⇆⇑⪆23401=NaN","layer":3},{"info":"⇑⪆-2234⪛NaN=NaN","layer":2},{"info":"≪NaN=⇑⪆12123","layer":1},{"info":"⇑⪆211343∼⇑⪆134013=NaN","layer":3},{"info":"⪫⨮⊛⇑⪆144241=NaN","layer":3},{"info":"NaN⩇∃⫛NaN=NaN","layer":2},{"info":"⇑⪆112240≠≀⇑⪆32404=⇑⪆-222314","layer":3},{"info":"⇑⪆211304⋹=⇑⪆-40","layer":3},{"info":"⇑⪆-222314⫘⇑⪆-40=⇑⪆32320201204","layer":2},{"info":"NaN⨪↰⇹⇑⪆32320201204=NaN","layer":1},{"info":"⇑⪆12123⨑≵⋬NaN=NaN","layer":0}]}
{"id":957,"expression_no_base_symbol":"($3308$≴⪞⇿$1268$⪍↜⋙($1818$⋅⇍$9108$)⇄(($4661$∙⊟$1963$)⨭⪣($2663$⫌⩉⩟$1440$)))⫗⊷⫓(⫟(⩷⨜⫀($9318$⫻⋑⊟)))","expression":"(⇑⪆101213≴⪞⇿⇑⪆20033⪍↜⋙(⇑⪆24233⋅⇍⇑⪆242413)⇄((⇑⪆122121∙⊟⇑⪆30323)⨭⪣(⇑⪆41123⫌⩉⩟⇑⪆21230)))⫗⊷⫓(⫟(⩷⨜⫀(⇑⪆244233⫻⋑⊟)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":424698,"operation_count":11,"complexity_ratio":38608.90909090909,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":3308,"base":5},"right_expr":{"type":"numeric_atoms","value":1268,"base":5}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1818,"base":5},"right_expr":{"type":"numeric_atoms","value":9108,"base":5}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":4661,"base":5},"right_expr":{"type":"numeric_atoms","value":1963,"base":5}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2663,"base":5},"right_expr":{"type":"numeric_atoms","value":1440,"base":5}}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":9318,"base":5}}}}},"used_operators":["zashukvMKz","3EYGwJThht","L05ObWFQCd","lvlrscuwVU","AdZkA7nFnk","kn8WO9XteQ","SxTAKzQCrw","XIIwhv8d0m","z4E1FaHLuy","CDi0ktkjQ4","o575Zjdmzy"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","ruOEQAzv1W","nhYeJWJD5X","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI"],"result":"⇑⪆-1014","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3308","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=3308, right_input=1268, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=18422684","layer":3},{"info":"number node, value=1818","layer":4},{"info":"number node, value=9108","layer":4},{"info":"compute binary expreesion, left_input=1818, right_input=9108, 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=18422684, right_input=-22, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=36845412","layer":2},{"info":"number node, value=4661","layer":4},{"info":"number node, value=1963","layer":4},{"info":"compute binary expreesion, left_input=4661, right_input=1963, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=70439","layer":3},{"info":"number node, value=2663","layer":4},{"info":"number node, value=1440","layer":4},{"info":"compute binary expreesion, left_input=2663, right_input=1440, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=70439, right_input=-50, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=69160","layer":2},{"info":"compute binary expreesion, left_input=36845412, right_input=69160, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"number node, value=9318","layer":4},{"info":"compute unary expreesion, input=9318, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-18126","layer":3},{"info":"compute unary expreesion, input=-18126, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":2},{"info":"compute unary expreesion, input=-766, 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=528","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=528, 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":5,"result_base":5,"text":"(⇑⪆101213≴⪞⇿⇑⪆20033⪍↜⋙(⇑⪆24233⋅⇍⇑⪆242413)⇄((⇑⪆122121∙⊟⇑⪆30323)⨭⪣(⇑⪆41123⫌⩉⩟⇑⪆21230)))⫗⊷⫓(⫟(⩷⨜⫀(⇑⪆244233⫻⋑⊟)))=⇑⪆-1014","reverse_text":"⇑⪆-1014=(⇑⪆101213≴⪞⇿⇑⪆20033⪍↜⋙(⇑⪆24233⋅⇍⇑⪆242413)⇄((⇑⪆122121∙⊟⇑⪆30323)⨭⪣(⇑⪆41123⫌⩉⩟⇑⪆21230)))⫗⊷⫓(⫟(⩷⨜⫀(⇑⪆244233⫻⋑⊟)))","cot":[{"info":"⇑⪆101213≴⪞⇿⇑⪆20033=⇑⪆14204011214","layer":3},{"info":"⇑⪆24233⋅⇍⇑⪆242413=⇑⪆-42","layer":3},{"info":"⇑⪆14204011214⪍↜⋙⇑⪆-42=⇑⪆33413023122","layer":2},{"info":"⇑⪆122121∙⊟⇑⪆30323=⇑⪆4223224","layer":3},{"info":"⇑⪆41123⫌⩉⩟⇑⪆21230=⇑⪆-200","layer":3},{"info":"⇑⪆4223224⨭⪣⇑⪆-200=⇑⪆4203120","layer":2},{"info":"⇑⪆33413023122⇄⇑⪆4203120=⇑⪆0","layer":1},{"info":"⇑⪆244233⫻⋑⊟=⇑⪆-1040001","layer":3},{"info":"⩷⨜⫀⇑⪆-1040001=⇑⪆-11031","layer":2},{"info":"⫟⇑⪆-11031=⇑⪆4103","layer":1},{"info":"⇑⪆0⫗⊷⫓⇑⪆4103=⇑⪆-1014","layer":0}]}
{"id":958,"expression_no_base_symbol":"(($4686$⪉⨛$3774$)⨽$4664$⪭≯$3782$)↳≱(($1272$∠⫱$1929$)⊹∫⫚($9755$↙$1381$))∷","expression":"((⇑⪆122221⪉⨛⇑⪆110044)⨽⇑⪆122124⪭≯⇑⪆110112)↳≱((⇑⪆20042∠⫱⇑⪆30204)⊹∫⫚(⇑⪆303010↙⇑⪆21011))∷","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":12228,"operation_count":8,"complexity_ratio":1528.5,"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":4686,"base":5},"right_expr":{"type":"numeric_atoms","value":3774,"base":5}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":4664,"base":5},"right_expr":{"type":"numeric_atoms","value":3782,"base":5}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1272,"base":5},"right_expr":{"type":"numeric_atoms","value":1929,"base":5}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":9755,"base":5},"right_expr":{"type":"numeric_atoms","value":1381,"base":5}}}}},"used_operators":["nFAOW8KTqp","JwTKLfZU96","8HhzD0ZcuI","EWw2JM7wp4","XAx5wpdLa6","uWAJUKEvyW","QvoQhV0rrE","yyfyN0ffXY"],"dependent_operators":["D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4686","layer":4},{"info":"number node, value=3774","layer":4},{"info":"compute binary expreesion, left_input=4686, right_input=3774, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=10499","layer":3},{"info":"number node, value=4664","layer":4},{"info":"number node, value=3782","layer":4},{"info":"compute binary expreesion, left_input=4664, right_input=3782, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10499, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=1272","layer":4},{"info":"number node, value=1929","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=1929, 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=9755","layer":4},{"info":"number node, value=1381","layer":4},{"info":"compute binary expreesion, left_input=9755, right_input=1381, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4143","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-4143, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=-336, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=0","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆122221⪉⨛⇑⪆110044)⨽⇑⪆122124⪭≯⇑⪆110112)↳≱((⇑⪆20042∠⫱⇑⪆30204)⊹∫⫚(⇑⪆303010↙⇑⪆21011))∷=⇑⪆0","reverse_text":"⇑⪆0=((⇑⪆122221⪉⨛⇑⪆110044)⨽⇑⪆122124⪭≯⇑⪆110112)↳≱((⇑⪆20042∠⫱⇑⪆30204)⊹∫⫚(⇑⪆303010↙⇑⪆21011))∷","cot":[{"info":"⇑⪆122221⪉⨛⇑⪆110044=⇑⪆313444","layer":3},{"info":"⇑⪆122124⪭≯⇑⪆110112=NaN","layer":3},{"info":"⇑⪆313444⨽NaN=NaN","layer":2},{"info":"⇑⪆20042∠⫱⇑⪆30204=⇑⪆14414","layer":3},{"info":"⇑⪆303010↙⇑⪆21011=⇑⪆-113033","layer":3},{"info":"⇑⪆14414⊹∫⫚⇑⪆-113033=⇑⪆-2321","layer":2},{"info":"NaN↳≱⇑⪆-2321=⇑⪆0","layer":1},{"info":"⇑⪆0∷=⇑⪆0","layer":0}]}
{"id":959,"expression_no_base_symbol":"(($6048$≎⊠⪸$1290$)∘($3155$⇉⇉)⋷(⪫⨮⊛($6818$∊∟⩊$5987$)))⊾⪯⋞((⇺⋃$2091$)⫢⨠$1464$⇣⩺⋵$1555$)≎⪠(($1428$⩘)∙⊟$2601$≀⩗∶$1108$)","expression":"((⇑⪆143143≎⊠⪸⇑⪆20130)∘(⇑⪆100110⇉⇉)⋷(⪫⨮⊛(⇑⪆204233∊∟⩊⇑⪆142422)))⊾⪯⋞((⇺⋃⇑⪆31331)⫢⨠⇑⪆21324⇣⩺⋵⇑⪆22210)≎⪠((⇑⪆21203⩘)∙⊟⇑⪆40401≀⩗∶⇑⪆13413)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3645375,"operation_count":14,"complexity_ratio":260383.92857142858,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6048,"base":5},"right_expr":{"type":"numeric_atoms","value":1290,"base":5}},"right_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":3155,"base":5}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":6818,"base":5},"right_expr":{"type":"numeric_atoms","value":5987,"base":5}}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":2091,"base":5}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1464,"base":5},"right_expr":{"type":"numeric_atoms","value":1555,"base":5}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":1428,"base":5}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2601,"base":5},"right_expr":{"type":"numeric_atoms","value":1108,"base":5}}}}},"used_operators":["HK0tfVPux8","23Mk6UjR3U","Z5m6OM72h2","bJkvcejdHO","diKm42VcIt","w5FWba1tyO","ddLRYrp01A","aNhz54LH3e","xlXykHWxX1","E5v5B3UAjG","F4yD0voBRQ","SxTAKzQCrw","wvHyciQT5X","8INZBEW696"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9ICcGScMcE","dfKe02y8D2","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"⇑⪆2214230","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6048","layer":4},{"info":"number node, value=1290","layer":4},{"info":"compute binary expreesion, left_input=6048, right_input=1290, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1565959","layer":3},{"info":"number node, value=3155","layer":4},{"info":"compute unary expreesion, input=3155, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-199796","layer":3},{"info":"compute binary expreesion, left_input=1565959, right_input=-199796, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-1565579","layer":2},{"info":"number node, value=6818","layer":4},{"info":"number node, value=5987","layer":4},{"info":"compute binary expreesion, left_input=6818, right_input=5987, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=5987","layer":3},{"info":"compute unary expreesion, input=5987, 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=-1565579, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3131158","layer":1},{"info":"number node, value=2091","layer":4},{"info":"compute unary expreesion, input=2091, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=1464","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=1555, 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 = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=1428","layer":4},{"info":"compute unary expreesion, input=1428, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"number node, value=2601","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=2601, right_input=1108, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=21414","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=21414, 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=3131158, 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":0}],"base":5,"result_base":5,"text":"((⇑⪆143143≎⊠⪸⇑⪆20130)∘(⇑⪆100110⇉⇉)⋷(⪫⨮⊛(⇑⪆204233∊∟⩊⇑⪆142422)))⊾⪯⋞((⇺⋃⇑⪆31331)⫢⨠⇑⪆21324⇣⩺⋵⇑⪆22210)≎⪠((⇑⪆21203⩘)∙⊟⇑⪆40401≀⩗∶⇑⪆13413)=⇑⪆2214230","reverse_text":"⇑⪆2214230=((⇑⪆143143≎⊠⪸⇑⪆20130)∘(⇑⪆100110⇉⇉)⋷(⪫⨮⊛(⇑⪆204233∊∟⩊⇑⪆142422)))⊾⪯⋞((⇺⋃⇑⪆31331)⫢⨠⇑⪆21324⇣⩺⋵⇑⪆22210)≎⪠((⇑⪆21203⩘)∙⊟⇑⪆40401≀⩗∶⇑⪆13413)","cot":[{"info":"⇑⪆143143≎⊠⪸⇑⪆20130=⇑⪆400102314","layer":3},{"info":"⇑⪆100110⇉⇉=⇑⪆-22343141","layer":3},{"info":"⇑⪆400102314∘⇑⪆-22343141=⇑⪆-400044304","layer":2},{"info":"⇑⪆204233∊∟⩊⇑⪆142422=⇑⪆142422","layer":3},{"info":"⪫⨮⊛⇑⪆142422=NaN","layer":2},{"info":"⇑⪆-400044304⋷NaN=⇑⪆1300144113","layer":1},{"info":"⇺⋃⇑⪆31331=NaN","layer":3},{"info":"⇑⪆21324⇣⩺⋵⇑⪆22210=⇑⪆-2020","layer":3},{"info":"NaN⫢⨠⇑⪆-2020=NaN","layer":2},{"info":"⇑⪆21203⩘=⇑⪆232","layer":3},{"info":"⇑⪆40401≀⩗∶⇑⪆13413=⇑⪆0","layer":3},{"info":"⇑⪆232∙⊟⇑⪆0=⇑⪆1141124","layer":2},{"info":"NaN≎⪠⇑⪆1141124=⇑⪆1111213","layer":1},{"info":"⇑⪆1300144113⊾⪯⋞⇑⪆1111213=⇑⪆2214230","layer":0}]}
{"id":960,"expression_no_base_symbol":"(($2677$⇼⇔∾$2616$)⫉⨲⊜(≪$7583$))⨑⩅≇($2375$%$4045$)⊕∕($2773$⩺⪪$4676$)∼(($1123$⫚↹⊑$1232$)⪛$2958$⊉↱≁$6120$⩇∃⫛($2065$≧⫂∧$1008$⇴∐(↣≠⋷$1004$)))","expression":"((⇑⪆41202⇼⇔∾⇑⪆40431)⫉⨲⊜(≪⇑⪆220313))⨑⩅≇(⇑⪆34000%⇑⪆112140)⊕∕(⇑⪆42043⩺⪪⇑⪆122201)∼((⇑⪆13443⫚↹⊑⇑⪆14412)⪛⇑⪆43313⊉↱≁⇑⪆143440⩇∃⫛(⇑⪆31230≧⫂∧⇑⪆13013⇴∐(↣≠⋷⇑⪆13004)))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":4529,"operation_count":15,"complexity_ratio":301.93333333333334,"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":2677,"base":5},"right_expr":{"type":"numeric_atoms","value":2616,"base":5}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":7583,"base":5}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2375,"base":5},"right_expr":{"type":"numeric_atoms","value":4045,"base":5}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2773,"base":5},"right_expr":{"type":"numeric_atoms","value":4676,"base":5}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1123,"base":5},"right_expr":{"type":"numeric_atoms","value":1232,"base":5}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2958,"base":5},"right_expr":{"type":"numeric_atoms","value":6120,"base":5}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2065,"base":5},"right_expr":{"type":"numeric_atoms","value":1008,"base":5}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1004,"base":5}}}}},"used_operators":["DyGG3AbaNP","h92wMvzauj","WhqkvtTD3t","tifHPKVTfV","Qtd6bqUJcN","9cloC0Ngie","k8jYdgA6NY","uvdQJvN4PV","1aApVXNlOP","uFcxV4UQCh","dfKe02y8D2","w2P8NbNXyL","HnzytWxmAO","Ph9nP6C5qx","Asc51vEJeQ"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eewbuw0ToL","zVYPLywUTj","rysDP5nf3Z","t8gj7n24qd","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2677","layer":4},{"info":"number node, value=2616","layer":4},{"info":"compute binary expreesion, left_input=2677, right_input=2616, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-61","layer":3},{"info":"number node, value=7583","layer":4},{"info":"compute unary expreesion, input=7583, 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=-61, right_input=913, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"number node, value=2375","layer":4},{"info":"number node, value=4045","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=4045, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2375","layer":3},{"info":"number node, value=2773","layer":4},{"info":"number node, value=4676","layer":4},{"info":"compute binary expreesion, left_input=2773, right_input=4676, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=2375, right_input=-1818, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2375","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2375, 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":1},{"info":"number node, value=1123","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=1232, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=2958","layer":4},{"info":"number node, value=6120","layer":4},{"info":"compute binary expreesion, left_input=2958, right_input=6120, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-8254","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-8254, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-447","layer":2},{"info":"number node, value=2065","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=2065, right_input=1008, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=535","layer":3},{"info":"number node, value=1004","layer":4},{"info":"compute unary expreesion, input=1004, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=535, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=524","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=524, 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":1},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆41202⇼⇔∾⇑⪆40431)⫉⨲⊜(≪⇑⪆220313))⨑⩅≇(⇑⪆34000%⇑⪆112140)⊕∕(⇑⪆42043⩺⪪⇑⪆122201)∼((⇑⪆13443⫚↹⊑⇑⪆14412)⪛⇑⪆43313⊉↱≁⇑⪆143440⩇∃⫛(⇑⪆31230≧⫂∧⇑⪆13013⇴∐(↣≠⋷⇑⪆13004)))=⇑⪆0","reverse_text":"⇑⪆0=((⇑⪆41202⇼⇔∾⇑⪆40431)⫉⨲⊜(≪⇑⪆220313))⨑⩅≇(⇑⪆34000%⇑⪆112140)⊕∕(⇑⪆42043⩺⪪⇑⪆122201)∼((⇑⪆13443⫚↹⊑⇑⪆14412)⪛⇑⪆43313⊉↱≁⇑⪆143440⩇∃⫛(⇑⪆31230≧⫂∧⇑⪆13013⇴∐(↣≠⋷⇑⪆13004)))","cot":[{"info":"⇑⪆41202⇼⇔∾⇑⪆40431=⇑⪆-221","layer":3},{"info":"≪⇑⪆220313=⇑⪆12123","layer":3},{"info":"⇑⪆-221⫉⨲⊜⇑⪆12123=⇑⪆0","layer":2},{"info":"⇑⪆34000%⇑⪆112140=⇑⪆34000","layer":3},{"info":"⇑⪆42043⩺⪪⇑⪆122201=⇑⪆-24233","layer":3},{"info":"⇑⪆34000⊕∕⇑⪆-24233=⇑⪆34000","layer":2},{"info":"⇑⪆0⨑⩅≇⇑⪆34000=⇑⪆0","layer":1},{"info":"⇑⪆13443⫚↹⊑⇑⪆14412=⇑⪆-3242","layer":3},{"info":"⇑⪆43313⊉↱≁⇑⪆143440=⇑⪆-231004","layer":3},{"info":"⇑⪆-3242⪛⇑⪆-231004=⇑⪆-3242","layer":2},{"info":"⇑⪆31230≧⫂∧⇑⪆13013=⇑⪆4120","layer":3},{"info":"↣≠⋷⇑⪆13004=NaN","layer":3},{"info":"⇑⪆4120⇴∐NaN=⇑⪆4044","layer":2},{"info":"⇑⪆-3242⩇∃⫛⇑⪆4044=⇑⪆-3242","layer":1},{"info":"⇑⪆0∼⇑⪆-3242=⇑⪆0","layer":0}]}
{"id":961,"expression_no_base_symbol":"(($5628$≥⨤⩑$6512$)⩒⫫$2117$⩌⋺$4883$)⫁(⇐($1322$⫸⊐$2163$))⪍↜⋙($4867$∇⊂⋱$5560$+$2107$⪥$3557$)≚⊃≕($1410$⋻⩜⩜$4103$)⨐($2798$∪⫐$7164$)","expression":"((⇑⪆140003≥⨤⩑⇑⪆202022)⩒⫫⇑⪆31432⩌⋺⇑⪆124013)⫁(⇐(⇑⪆20242⫸⊐⇑⪆32123))⪍↜⋙(⇑⪆123432∇⊂⋱⇑⪆134220+⇑⪆31412⪥⇑⪆103212)≚⊃≕(⇑⪆21120⋻⩜⩜⇑⪆112403)⨐(⇑⪆42143∪⫐⇑⪆212124)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":57742,"operation_count":14,"complexity_ratio":4124.428571428572,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":5628,"base":5},"right_expr":{"type":"numeric_atoms","value":6512,"base":5}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2117,"base":5},"right_expr":{"type":"numeric_atoms","value":4883,"base":5}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1322,"base":5},"right_expr":{"type":"numeric_atoms","value":2163,"base":5}}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":4867,"base":5},"right_expr":{"type":"numeric_atoms","value":5560,"base":5}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2107,"base":5},"right_expr":{"type":"numeric_atoms","value":3557,"base":5}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1410,"base":5},"right_expr":{"type":"numeric_atoms","value":4103,"base":5}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2798,"base":5},"right_expr":{"type":"numeric_atoms","value":7164,"base":5}}}}},"used_operators":["L05ObWFQCd","0ajvFaJAv0","KFSx94NKJn","gJLn6v0xnP","g7Hmc5v1ko","nmZMaaE0Q9","mqXw5SEYmG","Bmrmz2XGnR","W4YGzv6Whe","nhYeJWJD5X","QbnwKVWMIQ","Noe24qw2ks","oDCm7WA9JY","7YooWSwCyH"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rJVOvQCfKK","2DDjHMKMc0"],"result":"⇑⪆-20004320","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5628","layer":4},{"info":"number node, value=6512","layer":4},{"info":"compute binary expreesion, left_input=5628, right_input=6512, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=2117","layer":4},{"info":"number node, value=4883","layer":4},{"info":"compute binary expreesion, left_input=2117, right_input=4883, 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=-7121","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-7121, 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":"number node, value=1322","layer":4},{"info":"number node, value=2163","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=2163, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8527","layer":3},{"info":"compute unary expreesion, input=8527, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=6148","layer":2},{"info":"compute binary expreesion, left_input=932, right_input=6148, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=4867","layer":4},{"info":"number node, value=5560","layer":4},{"info":"compute binary expreesion, left_input=4867, right_input=5560, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=9188","layer":3},{"info":"number node, value=2107","layer":4},{"info":"number node, value=3557","layer":4},{"info":"compute binary expreesion, left_input=2107, right_input=3557, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=13080","layer":3},{"info":"compute binary expreesion, left_input=9188, right_input=13080, op_id = W4YGzv6Whe binary_op_definition= 'None', output=22268","layer":2},{"info":"number node, value=1410","layer":4},{"info":"number node, value=4103","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=4103, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2820","layer":3},{"info":"number node, value=2798","layer":4},{"info":"number node, value=7164","layer":4},{"info":"compute binary expreesion, left_input=2798, right_input=7164, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2798","layer":3},{"info":"compute binary expreesion, left_input=2820, right_input=2798, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-5640","layer":2},{"info":"compute binary expreesion, left_input=22268, right_input=-5640, 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=77626","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=77626, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-156835","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆140003≥⨤⩑⇑⪆202022)⩒⫫⇑⪆31432⩌⋺⇑⪆124013)⫁(⇐(⇑⪆20242⫸⊐⇑⪆32123))⪍↜⋙(⇑⪆123432∇⊂⋱⇑⪆134220+⇑⪆31412⪥⇑⪆103212)≚⊃≕(⇑⪆21120⋻⩜⩜⇑⪆112403)⨐(⇑⪆42143∪⫐⇑⪆212124)=⇑⪆-20004320","reverse_text":"⇑⪆-20004320=((⇑⪆140003≥⨤⩑⇑⪆202022)⩒⫫⇑⪆31432⩌⋺⇑⪆124013)⫁(⇐(⇑⪆20242⫸⊐⇑⪆32123))⪍↜⋙(⇑⪆123432∇⊂⋱⇑⪆134220+⇑⪆31412⪥⇑⪆103212)≚⊃≕(⇑⪆21120⋻⩜⩜⇑⪆112403)⨐(⇑⪆42143∪⫐⇑⪆212124)","cot":[{"info":"⇑⪆140003≥⨤⩑⇑⪆202022=⇑⪆14414","layer":3},{"info":"⇑⪆31432⩌⋺⇑⪆124013=⇑⪆-211441","layer":3},{"info":"⇑⪆14414⩒⫫⇑⪆-211441=⇑⪆12212","layer":2},{"info":"⇑⪆20242⫸⊐⇑⪆32123=⇑⪆233102","layer":3},{"info":"⇐⇑⪆233102=⇑⪆144043","layer":2},{"info":"⇑⪆12212⫁⇑⪆144043=⇑⪆1120","layer":1},{"info":"⇑⪆123432∇⊂⋱⇑⪆134220=⇑⪆243223","layer":3},{"info":"⇑⪆31412⪥⇑⪆103212=⇑⪆404310","layer":3},{"info":"⇑⪆243223+⇑⪆404310=⇑⪆1203033","layer":2},{"info":"⇑⪆21120⋻⩜⩜⇑⪆112403=⇑⪆42240","layer":3},{"info":"⇑⪆42143∪⫐⇑⪆212124=⇑⪆42143","layer":3},{"info":"⇑⪆42240⨐⇑⪆42143=⇑⪆-140030","layer":2},{"info":"⇑⪆1203033≚⊃≕⇑⪆-140030=⇑⪆4441001","layer":1},{"info":"⇑⪆1120⪍↜⋙⇑⪆4441001=⇑⪆-20004320","layer":0}]}
{"id":962,"expression_no_base_symbol":"((⪫⨮⊛($2269$⨐⩸⫘$1982$))↱($1606$⪄$2149$)⩌⋺($1931$⨟⋌⩍$1235$))⪒⊣⊆(((∡$7967$)⩁)⪉⨛(↑(↥$1168$)))","expression":"((⪫⨮⊛(⇑⪆33034⨐⩸⫘⇑⪆30412))↱(⇑⪆22411⪄⇑⪆32044)⩌⋺(⇑⪆30211⨟⋌⩍⇑⪆14420))⪒⊣⊆(((∡⇑⪆223332)⩁)⪉⨛(↑(↥⇑⪆14133)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15452,"operation_count":12,"complexity_ratio":1287.6666666666667,"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":2269,"base":5},"right_expr":{"type":"numeric_atoms","value":1982,"base":5}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1606,"base":5},"right_expr":{"type":"numeric_atoms","value":2149,"base":5}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1931,"base":5},"right_expr":{"type":"numeric_atoms","value":1235,"base":5}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":7967,"base":5}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1168,"base":5}}}}},"used_operators":["eRqsBgTDFp","SR5kFfdi6N","w5FWba1tyO","fu6greOZ01","g7Hmc5v1ko","SUmda5xLS4","rGHVDoGpnC","EWw2JM7wp4","5GqDbVmqXU","pRsWfj4Fpp","tR7O2zTn5j","A8NUZmVepG"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","3ViojmjbAp","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Tcnh7f0tEr","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2269","layer":4},{"info":"number node, value=1982","layer":4},{"info":"compute binary expreesion, left_input=2269, right_input=1982, 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 = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"number node, value=1606","layer":4},{"info":"number node, value=2149","layer":4},{"info":"compute binary expreesion, left_input=1606, right_input=2149, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-242373","layer":3},{"info":"number node, value=1931","layer":4},{"info":"number node, value=1235","layer":4},{"info":"compute binary expreesion, left_input=1931, right_input=1235, 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=-242373, 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":"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":"number node, value=7967","layer":4},{"info":"compute unary expreesion, input=7967, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-7967","layer":3},{"info":"compute unary expreesion, input=-7967, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=7967","layer":2},{"info":"number node, value=1168","layer":4},{"info":"compute unary expreesion, input=1168, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=46","layer":3},{"info":"compute unary expreesion, input=46, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=7967, right_input=192, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=23924","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=23924, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⪫⨮⊛(⇑⪆33034⨐⩸⫘⇑⪆30412))↱(⇑⪆22411⪄⇑⪆32044)⩌⋺(⇑⪆30211⨟⋌⩍⇑⪆14420))⪒⊣⊆(((∡⇑⪆223332)⩁)⪉⨛(↑(↥⇑⪆14133)))=NaN","reverse_text":"NaN=((⪫⨮⊛(⇑⪆33034⨐⩸⫘⇑⪆30412))↱(⇑⪆22411⪄⇑⪆32044)⩌⋺(⇑⪆30211⨟⋌⩍⇑⪆14420))⪒⊣⊆(((∡⇑⪆223332)⩁)⪉⨛(↑(↥⇑⪆14133)))","cot":[{"info":"⇑⪆33034⨐⩸⫘⇑⪆30412=NaN","layer":3},{"info":"⪫⨮⊛NaN=NaN","layer":2},{"info":"⇑⪆22411⪄⇑⪆32044=⇑⪆-30223443","layer":3},{"info":"⇑⪆30211⨟⋌⩍⇑⪆14420=NaN","layer":3},{"info":"⇑⪆-30223443⩌⋺NaN=NaN","layer":2},{"info":"NaN↱NaN=NaN","layer":1},{"info":"∡⇑⪆223332=⇑⪆-223332","layer":3},{"info":"⇑⪆-223332⩁=⇑⪆223332","layer":2},{"info":"↥⇑⪆14133=⇑⪆141","layer":3},{"info":"↑⇑⪆141=⇑⪆1232","layer":2},{"info":"⇑⪆223332⪉⨛⇑⪆1232=⇑⪆1231144","layer":1},{"info":"NaN⪒⊣⊆⇑⪆1231144=NaN","layer":0}]}
{"id":963,"expression_no_base_symbol":"(↞≼((≀↧⇸$2617$)∈))⫸⇳((⨴⫝$3601$)⨻⩈⩔(+⊝⨔$1205$))⨜⨶($1250$⩌⋺$1058$⋛(↥$3837$))","expression":"(↞≼((≀↧⇸⇑⪆40432)∈))⫸⇳((⨴⫝⇑⪆103401)⨻⩈⩔(+⊝⨔⇑⪆14310))⨜⨶(⇑⪆20000⩌⋺⇑⪆13213⋛(↥⇑⪆110322))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2380,"operation_count":11,"complexity_ratio":216.36363636363637,"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":2617,"base":5}}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":3601,"base":5}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1205,"base":5}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1250,"base":5},"right_expr":{"type":"numeric_atoms","value":1058,"base":5}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3837,"base":5}}}}},"used_operators":["gx7XJ7hdpj","DE7zCoGJt9","ztP7wcbY7m","ljTHtUsqzn","HiPekx5b7W","nEsXyWgiOK","SVb2v531z1","DhbWaqg5eL","YbUVn0Rbpy","g7Hmc5v1ko","A8NUZmVepG"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","XPYlsWDdGa","23Mk6UjR3U","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","k8jYdgA6NY"],"result":"⇑⪆0","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2617","layer":4},{"info":"compute unary expreesion, input=2617, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=5234","layer":3},{"info":"compute unary expreesion, input=5234, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=15031","layer":2},{"info":"compute unary expreesion, input=15031, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=119834","layer":1},{"info":"number node, value=3601","layer":4},{"info":"compute unary expreesion, input=3601, 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=1205","layer":4},{"info":"compute unary expreesion, input=1205, 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=2828198, right_input=1522, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=22617183","layer":2},{"info":"number node, value=1250","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=1058, 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=-2429","layer":3},{"info":"number node, value=3837","layer":4},{"info":"compute unary expreesion, input=3837, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=12","layer":3},{"info":"compute binary expreesion, left_input=-2429, right_input=12, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-133791","layer":2},{"info":"compute binary expreesion, left_input=22617183, right_input=-133791, 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=225369867","layer":1},{"info":"compute binary expreesion, left_input=119834, right_input=225369867, 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":5,"result_base":5,"text":"(↞≼((≀↧⇸⇑⪆40432)∈))⫸⇳((⨴⫝⇑⪆103401)⨻⩈⩔(+⊝⨔⇑⪆14310))⨜⨶(⇑⪆20000⩌⋺⇑⪆13213⋛(↥⇑⪆110322))=⇑⪆0","reverse_text":"⇑⪆0=(↞≼((≀↧⇸⇑⪆40432)∈))⫸⇳((⨴⫝⇑⪆103401)⨻⩈⩔(+⊝⨔⇑⪆14310))⨜⨶(⇑⪆20000⩌⋺⇑⪆13213⋛(↥⇑⪆110322))","cot":[{"info":"≀↧⇸⇑⪆40432=⇑⪆131414","layer":3},{"info":"⇑⪆131414∈=⇑⪆440111","layer":2},{"info":"↞≼⇑⪆440111=⇑⪆12313314","layer":1},{"info":"⨴⫝⇑⪆103401=⇑⪆1211000243","layer":3},{"info":"+⊝⨔⇑⪆14310=⇑⪆22042","layer":3},{"info":"⇑⪆1211000243⨻⩈⩔⇑⪆22042=⇑⪆21242222213","layer":2},{"info":"⇑⪆20000⩌⋺⇑⪆13213=⇑⪆-34204","layer":3},{"info":"↥⇑⪆110322=⇑⪆22","layer":3},{"info":"⇑⪆-34204⋛⇑⪆22=⇑⪆-13240131","layer":2},{"info":"⇑⪆21242222213⨜⨶⇑⪆-13240131=⇑⪆430143313432","layer":1},{"info":"⇑⪆12313314⫸⇳⇑⪆430143313432=⇑⪆0","layer":0}]}
{"id":964,"expression_no_base_symbol":"((≇⪴$7077$)⫣⪄⊒$4686$⫗⊷⫓$1070$⨱∎)⫚↹⊑((($6458$⊉≛↸$7068$)∠↢$7927$≀⫉$1504$)⇟⨁⪰)","expression":"((≇⪴⇑⪆211302)⫣⪄⊒⇑⪆122221⫗⊷⫓⇑⪆13240⨱∎)⫚↹⊑(((⇑⪆201313⊉≛↸⇑⪆211233)∠↢⇑⪆223202≀⫉⇑⪆22004)⇟⨁⪰)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":830957,"operation_count":9,"complexity_ratio":92328.55555555556,"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":7077,"base":5}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":4686,"base":5},"right_expr":{"type":"numeric_atoms","value":1070,"base":5}}}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6458,"base":5},"right_expr":{"type":"numeric_atoms","value":7068,"base":5}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":7927,"base":5},"right_expr":{"type":"numeric_atoms","value":1504,"base":5}}}}},"used_operators":["dfKe02y8D2","MmTdOpaElr","RabNbG55vr","zoVPnxeHJ3","zashukvMKz","BX1lVwlMe0","KbjG8mgYpV","DZ8iAZOCBD","oZj3VtZNQx"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","tifHPKVTfV","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","2DDjHMKMc0","xUOZtlo3hN","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"⇑⪆-3242","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7077","layer":4},{"info":"compute unary expreesion, input=7077, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-19891","layer":3},{"info":"number node, value=4686","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=4686, right_input=1070, 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=-19891, right_input=-134, 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 = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":1},{"info":"number node, value=6458","layer":4},{"info":"number node, value=7068","layer":4},{"info":"compute binary expreesion, left_input=6458, right_input=7068, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12916","layer":3},{"info":"number node, value=7927","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=7927, right_input=1504, 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=12916, right_input=2822, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-90090","layer":2},{"info":"compute unary expreesion, input=-90090, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=89916","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=89916, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":5,"result_base":5,"text":"((≇⪴⇑⪆211302)⫣⪄⊒⇑⪆122221⫗⊷⫓⇑⪆13240⨱∎)⫚↹⊑(((⇑⪆201313⊉≛↸⇑⪆211233)∠↢⇑⪆223202≀⫉⇑⪆22004)⇟⨁⪰)=⇑⪆-3242","reverse_text":"⇑⪆-3242=((≇⪴⇑⪆211302)⫣⪄⊒⇑⪆122221⫗⊷⫓⇑⪆13240⨱∎)⫚↹⊑(((⇑⪆201313⊉≛↸⇑⪆211233)∠↢⇑⪆223202≀⫉⇑⪆22004)⇟⨁⪰)","cot":[{"info":"≇⪴⇑⪆211302=⇑⪆-1114031","layer":3},{"info":"⇑⪆122221⫗⊷⫓⇑⪆13240=⇑⪆-1014","layer":3},{"info":"⇑⪆-1114031⫣⪄⊒⇑⪆-1014=⇑⪆1120","layer":2},{"info":"⇑⪆1120⨱∎=⇑⪆0","layer":1},{"info":"⇑⪆201313⊉≛↸⇑⪆211233=⇑⪆403131","layer":3},{"info":"⇑⪆223202≀⫉⇑⪆22004=⇑⪆42242","layer":3},{"info":"⇑⪆403131∠↢⇑⪆42242=⇑⪆-10340330","layer":2},{"info":"⇑⪆-10340330⇟⨁⪰=⇑⪆10334131","layer":1},{"info":"⇑⪆0⫚↹⊑⇑⪆10334131=⇑⪆-3242","layer":0}]}
{"id":965,"expression_no_base_symbol":"⨰⫟⨤(⇘(($7313$⪕$4162$)⪭($3243$∠⫱$1077$)))","expression":"⨰⫟⨤(⇘((⇑⪆213223⪕⇑⪆113122)⪭(⇑⪆100433∠⫱⇑⪆13302)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8121,"operation_count":5,"complexity_ratio":1624.2,"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":7313,"base":5},"right_expr":{"type":"numeric_atoms","value":4162,"base":5}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3243,"base":5},"right_expr":{"type":"numeric_atoms","value":1077,"base":5}}}}},"used_operators":["Tw270M8GLb","MGuIdZPyUC","j9kHMeSvPp","umQnsF7QlU","QvoQhV0rrE"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","COABgblf1C","xUOZtlo3hN","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7313","layer":4},{"info":"number node, value=4162","layer":4},{"info":"compute binary expreesion, left_input=7313, right_input=4162, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=11365","layer":3},{"info":"number node, value=3243","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=3243, right_input=1077, 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=11365, right_input=1234, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"compute unary expreesion, input=5, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-1785","layer":1},{"info":"compute unary expreesion, input=-1785, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⨰⫟⨤(⇘((⇑⪆213223⪕⇑⪆113122)⪭(⇑⪆100433∠⫱⇑⪆13302)))=NaN","reverse_text":"NaN=⨰⫟⨤(⇘((⇑⪆213223⪕⇑⪆113122)⪭(⇑⪆100433∠⫱⇑⪆13302)))","cot":[{"info":"⇑⪆213223⪕⇑⪆113122=⇑⪆330430","layer":3},{"info":"⇑⪆100433∠⫱⇑⪆13302=⇑⪆14414","layer":3},{"info":"⇑⪆330430⪭⇑⪆14414=⇑⪆10","layer":2},{"info":"⇘⇑⪆10=⇑⪆-24120","layer":1},{"info":"⨰⫟⨤⇑⪆-24120=NaN","layer":0}]}
{"id":966,"expression_no_base_symbol":"⇜⊴$8156$⫗⊷⫓$1102$⩖⊿($7528$≄⊠$3590$)≥⨤⩑(⋃($1390$⫌⩉⩟$4036$))","expression":"⇜⊴⇑⪆230111⫗⊷⫓⇑⪆13402⩖⊿(⇑⪆220103≄⊠⇑⪆103330)≥⨤⩑(⋃(⇑⪆21030⫌⩉⩟⇑⪆112121))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":882565,"operation_count":7,"complexity_ratio":126080.71428571429,"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":8156,"base":5},"right_expr":{"type":"numeric_atoms","value":1102,"base":5}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":7528,"base":5},"right_expr":{"type":"numeric_atoms","value":3590,"base":5}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1390,"base":5},"right_expr":{"type":"numeric_atoms","value":4036,"base":5}}}}},"used_operators":["XwDhCwWbUn","gJLn6v0xnP","RZ5CV9rWsJ","zashukvMKz","vXNesLlMH1","3mBM5G4a3l","XIIwhv8d0m"],"dependent_operators":["WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","g55IO6H4Gj","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"⇑⪆-32340020","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8156","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=8156, right_input=1102, 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=7528","layer":4},{"info":"number node, value=3590","layer":4},{"info":"compute binary expreesion, left_input=7528, right_input=3590, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=62108","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=62108, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-122302","layer":2},{"info":"number node, value=1390","layer":4},{"info":"number node, value=4036","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=4036, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=2","layer":2},{"info":"compute binary expreesion, left_input=-122302, right_input=2, 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 = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-277510","layer":0}],"base":5,"result_base":5,"text":"⇜⊴⇑⪆230111⫗⊷⫓⇑⪆13402⩖⊿(⇑⪆220103≄⊠⇑⪆103330)≥⨤⩑(⋃(⇑⪆21030⫌⩉⩟⇑⪆112121))=⇑⪆-32340020","reverse_text":"⇑⪆-32340020=⇜⊴⇑⪆230111⫗⊷⫓⇑⪆13402⩖⊿(⇑⪆220103≄⊠⇑⪆103330)≥⨤⩑(⋃(⇑⪆21030⫌⩉⩟⇑⪆112121))","cot":[{"info":"⇑⪆230111⫗⊷⫓⇑⪆13402=⇑⪆-1014","layer":3},{"info":"⇑⪆220103≄⊠⇑⪆103330=⇑⪆3441413","layer":3},{"info":"⇑⪆-1014⩖⊿⇑⪆3441413=⇑⪆-12403202","layer":2},{"info":"⇑⪆21030⫌⩉⩟⇑⪆112121=⇑⪆-200","layer":3},{"info":"⋃⇑⪆-200=⇑⪆2","layer":2},{"info":"⇑⪆-12403202≥⨤⩑⇑⪆2=⇑⪆14414","layer":1},{"info":"⇜⊴⇑⪆14414=⇑⪆-32340020","layer":0}]}
{"id":967,"expression_no_base_symbol":"($8099$⪃⊛⇣$1110$/($1192$↬⩅∪))⪘⫢(($1286$≃⋄)⊦⊿)↺(⇖⫷⫕(($4696$⊪)⫚⫇))","expression":"(⇑⪆224344⪃⊛⇣⇑⪆13420/(⇑⪆14232↬⩅∪))⪘⫢((⇑⪆20121≃⋄)⊦⊿)↺(⇖⫷⫕((⇑⪆122241⊪)⫚⫇))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1377,"operation_count":10,"complexity_ratio":137.7,"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":8099,"base":5},"right_expr":{"type":"numeric_atoms","value":1110,"base":5}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1192,"base":5}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":1286,"base":5}}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4696,"base":5}}}}},"used_operators":["7j4O788W3g","oacrs7FA3X","XhwjNDsVaA","rrgAzCduG9","VJ330n2nnx","14qkJME0vr","aN9a90urxU","UHmRx3INFg","SdCjLnB6rR","zVYPLywUTj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","uFcxV4UQCh","jLgFTUHLKL","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⇑⪆42242","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8099","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=8099, right_input=1110, 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=1192","layer":4},{"info":"compute unary expreesion, input=1192, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-3576","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-3576, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1286","layer":4},{"info":"compute unary expreesion, input=1286, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"compute unary expreesion, input=764, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-2371","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-2371, 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":1},{"info":"number node, value=4696","layer":4},{"info":"compute unary expreesion, input=4696, 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 = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-1468","layer":2},{"info":"compute unary expreesion, input=-1468, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=2822, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2822","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆224344⪃⊛⇣⇑⪆13420/(⇑⪆14232↬⩅∪))⪘⫢((⇑⪆20121≃⋄)⊦⊿)↺(⇖⫷⫕((⇑⪆122241⊪)⫚⫇))=⇑⪆42242","reverse_text":"⇑⪆42242=(⇑⪆224344⪃⊛⇣⇑⪆13420/(⇑⪆14232↬⩅∪))⪘⫢((⇑⪆20121≃⋄)⊦⊿)↺(⇖⫷⫕((⇑⪆122241⊪)⫚⫇))","cot":[{"info":"⇑⪆224344⪃⊛⇣⇑⪆13420=⇑⪆14414","layer":3},{"info":"⇑⪆14232↬⩅∪=⇑⪆-103301","layer":3},{"info":"⇑⪆14414/⇑⪆-103301=⇑⪆-1","layer":2},{"info":"⇑⪆20121≃⋄=⇑⪆11024","layer":3},{"info":"⇑⪆11024⊦⊿=⇑⪆-33441","layer":2},{"info":"⇑⪆-1⪘⫢⇑⪆-33441=⇑⪆-1","layer":1},{"info":"⇑⪆122241⊪=⇑⪆0","layer":3},{"info":"⇑⪆0⫚⫇=⇑⪆-21333","layer":2},{"info":"⇖⫷⫕⇑⪆-21333=⇑⪆42242","layer":1},{"info":"⇑⪆-1↺⇑⪆42242=⇑⪆42242","layer":0}]}
{"id":968,"expression_no_base_symbol":"(⨑⩽⪐$6543$)⨿($2800$≦↸$1410$)⫔⩽⩺$1288$⪬$3018$⪕($3737$⇞)⫡⨏((↥$2470$)⨱∎)≎⊠⪸$6340$⫯⪬∳$1410$≳⇉(⪸$6702$)","expression":"(⨑⩽⪐⇑⪆202133)⨿(⇑⪆42200≦↸⇑⪆21120)⫔⩽⩺⇑⪆20123⪬⇑⪆44033⪕(⇑⪆104422⇞)⫡⨏((↥⇑⪆34340)⨱∎)≎⊠⪸⇑⪆200330⫯⪬∳⇑⪆21120≳⇉(⪸⇑⪆203302)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":251700,"operation_count":14,"complexity_ratio":17978.571428571428,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6543,"base":5}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2800,"base":5},"right_expr":{"type":"numeric_atoms","value":1410,"base":5}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1288,"base":5},"right_expr":{"type":"numeric_atoms","value":3018,"base":5}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":3737,"base":5}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2470,"base":5}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":6340,"base":5},"right_expr":{"type":"numeric_atoms","value":1410,"base":5}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":6702,"base":5}}}}},"used_operators":["QMFrweE19q","i9eR4S00cU","abYXlopdE0","AF7qkfDlqP","RygbFNSyEJ","umQnsF7QlU","Ez1Nq5fNfI","5JYyxRJd4f","bJkvcejdHO","MmTdOpaElr","A8NUZmVepG","V0kx6qeWkN","d7ASUq0ydm","86A5ENbKR9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tw270M8GLb","fu6greOZ01","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","k8jYdgA6NY","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6543","layer":4},{"info":"compute unary expreesion, input=6543, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6270","layer":3},{"info":"number node, value=2800","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=2800, right_input=1410, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-7739","layer":3},{"info":"compute binary expreesion, left_input=-6270, right_input=-7739, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=1288","layer":4},{"info":"number node, value=3018","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=3018, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=3737","layer":4},{"info":"compute unary expreesion, input=3737, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=14861","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=14861, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-55, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=2470","layer":4},{"info":"compute unary expreesion, input=2470, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=22","layer":3},{"info":"compute unary expreesion, input=22, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"number node, value=6340","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=6340, right_input=1410, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=30323","layer":3},{"info":"number node, value=6702","layer":4},{"info":"compute unary expreesion, input=6702, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-113725","layer":3},{"info":"compute binary expreesion, left_input=30323, right_input=-113725, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, 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=nan, right_input=67, 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":5,"result_base":5,"text":"(⨑⩽⪐⇑⪆202133)⨿(⇑⪆42200≦↸⇑⪆21120)⫔⩽⩺⇑⪆20123⪬⇑⪆44033⪕(⇑⪆104422⇞)⫡⨏((↥⇑⪆34340)⨱∎)≎⊠⪸⇑⪆200330⫯⪬∳⇑⪆21120≳⇉(⪸⇑⪆203302)=NaN","reverse_text":"NaN=(⨑⩽⪐⇑⪆202133)⨿(⇑⪆42200≦↸⇑⪆21120)⫔⩽⩺⇑⪆20123⪬⇑⪆44033⪕(⇑⪆104422⇞)⫡⨏((↥⇑⪆34340)⨱∎)≎⊠⪸⇑⪆200330⫯⪬∳⇑⪆21120≳⇉(⪸⇑⪆203302)","cot":[{"info":"⨑⩽⪐⇑⪆202133=⇑⪆-200040","layer":3},{"info":"⇑⪆42200≦↸⇑⪆21120=⇑⪆-221424","layer":3},{"info":"⇑⪆-200040⨿⇑⪆-221424=⇑⪆232","layer":2},{"info":"⇑⪆20123⪬⇑⪆44033=⇑⪆14414","layer":3},{"info":"⇑⪆104422⇞=⇑⪆433421","layer":3},{"info":"⇑⪆14414⪕⇑⪆433421=⇑⪆-210","layer":2},{"info":"⇑⪆232⫔⩽⩺⇑⪆-210=NaN","layer":1},{"info":"↥⇑⪆34340=⇑⪆42","layer":3},{"info":"⇑⪆42⨱∎=⇑⪆0","layer":2},{"info":"⇑⪆200330⫯⪬∳⇑⪆21120=⇑⪆1432243","layer":3},{"info":"⪸⇑⪆203302=⇑⪆-12114400","layer":3},{"info":"⇑⪆1432243≳⇉⇑⪆-12114400=NaN","layer":2},{"info":"⇑⪆0≎⊠⪸NaN=⇑⪆232","layer":1},{"info":"NaN⫡⨏⇑⪆232=NaN","layer":0}]}
{"id":969,"expression_no_base_symbol":"(⨞⊢(⪲⇎$7291$⫗⊷⫓$1252$))≎⪠($1018$⨂≜$8306$⪘⫢(⩦⩻⨪$5481$)⪨⊡((⇤←$1110$)⪛⫼$1213$∀⇚≩$1184$))","expression":"(⨞⊢(⪲⇎⇑⪆213131⫗⊷⫓⇑⪆20002))≎⪠(⇑⪆13033⨂≜⇑⪆231211⪘⫢(⩦⩻⨪⇑⪆133411)⪨⊡((⇤←⇑⪆13420)⪛⫼⇑⪆14323∀⇚≩⇑⪆14214))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1000994,"operation_count":11,"complexity_ratio":90999.45454545454,"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":7291,"base":5},"right_expr":{"type":"numeric_atoms","value":1252,"base":5}}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1018,"base":5},"right_expr":{"type":"numeric_atoms","value":8306,"base":5}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5481,"base":5}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1110,"base":5}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1213,"base":5},"right_expr":{"type":"numeric_atoms","value":1184,"base":5}}}}},"used_operators":["aNhz54LH3e","xUOZtlo3hN","XPYlsWDdGa","zashukvMKz","kuIXHzHcAH","oacrs7FA3X","k1SHOSEABc","2td37pGCOC","hyuBjUqXlG","jfAgQ2OQeM","LRNGc0VcxI"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","X99M06cbEe"],"result":"⇑⪆1111213","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7291","layer":4},{"info":"number node, value=1252","layer":4},{"info":"compute binary expreesion, left_input=7291, right_input=1252, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-268","layer":2},{"info":"compute unary expreesion, input=-268, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=94","layer":1},{"info":"number node, value=1018","layer":4},{"info":"number node, value=8306","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=8306, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=5481","layer":4},{"info":"compute unary expreesion, input=5481, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5481","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5481, 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":"number node, value=1110","layer":4},{"info":"compute unary expreesion, input=1110, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-4184","layer":3},{"info":"number node, value=1213","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=1184, 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=-4184, 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 = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=94, 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":5,"result_base":5,"text":"(⨞⊢(⪲⇎⇑⪆213131⫗⊷⫓⇑⪆20002))≎⪠(⇑⪆13033⨂≜⇑⪆231211⪘⫢(⩦⩻⨪⇑⪆133411)⪨⊡((⇤←⇑⪆13420)⪛⫼⇑⪆14323∀⇚≩⇑⪆14214))=⇑⪆1111213","reverse_text":"⇑⪆1111213=(⨞⊢(⪲⇎⇑⪆213131⫗⊷⫓⇑⪆20002))≎⪠(⇑⪆13033⨂≜⇑⪆231211⪘⫢(⩦⩻⨪⇑⪆133411)⪨⊡((⇤←⇑⪆13420)⪛⫼⇑⪆14323∀⇚≩⇑⪆14214))","cot":[{"info":"⇑⪆213131⫗⊷⫓⇑⪆20002=⇑⪆-1014","layer":3},{"info":"⪲⇎⇑⪆-1014=⇑⪆-2033","layer":2},{"info":"⨞⊢⇑⪆-2033=⇑⪆334","layer":1},{"info":"⇑⪆13033⨂≜⇑⪆231211=NaN","layer":3},{"info":"⩦⩻⨪⇑⪆133411=⇑⪆133411","layer":3},{"info":"NaN⪘⫢⇑⪆133411=NaN","layer":2},{"info":"⇤←⇑⪆13420=⇑⪆-113214","layer":3},{"info":"⇑⪆14323∀⇚≩⇑⪆14214=NaN","layer":3},{"info":"⇑⪆-113214⪛⫼NaN=NaN","layer":2},{"info":"NaN⪨⊡NaN=NaN","layer":1},{"info":"⇑⪆334≎⪠NaN=⇑⪆1111213","layer":0}]}
{"id":970,"expression_no_base_symbol":"(($5808$≬⋮$3905$)∘$1874$⪒⊣⊆$1553$⨁⊸⫻)≴⪞⇿($2123$⇻⋧≁$3688$⩣⫁∢($1139$∀⇚≩$8218$)⊲⩕⊾($1502$⨓$2374$⪉⨛$1037$⩇∃⫛$2250$))","expression":"((⇑⪆141213≬⋮⇑⪆111110)∘⇑⪆24444⪒⊣⊆⇑⪆22203⨁⊸⫻)≴⪞⇿(⇑⪆31443⇻⋧≁⇑⪆104223⩣⫁∢(⇑⪆14024∀⇚≩⇑⪆230333)⊲⩕⊾(⇑⪆22002⨓⇑⪆33444⪉⨛⇑⪆13122⩇∃⫛⇑⪆33000))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14101,"operation_count":12,"complexity_ratio":1175.0833333333333,"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":5808,"base":5},"right_expr":{"type":"numeric_atoms","value":3905,"base":5}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1874,"base":5},"right_expr":{"type":"numeric_atoms","value":1553,"base":5}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2123,"base":5},"right_expr":{"type":"numeric_atoms","value":3688,"base":5}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1139,"base":5},"right_expr":{"type":"numeric_atoms","value":8218,"base":5}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1502,"base":5},"right_expr":{"type":"numeric_atoms","value":2374,"base":5}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1037,"base":5},"right_expr":{"type":"numeric_atoms","value":2250,"base":5}}}}},"used_operators":["lvlrscuwVU","glklzrTFfD","Z5m6OM72h2","kbkesczE7y","eRqsBgTDFp","DmTXOeWf9t","JDUIKTTSIa","jCPkEVoL5K","LRNGc0VcxI","EWw2JM7wp4","3ViojmjbAp","1aApVXNlOP"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","eH2TOUuTDT","rysDP5nf3Z","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","sdazOOVcIp","W4YGzv6Whe","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","X99M06cbEe","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"⇑⪆2043442342","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5808","layer":4},{"info":"number node, value=3905","layer":4},{"info":"compute binary expreesion, left_input=5808, right_input=3905, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1874","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=1874, right_input=1553, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3748","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=3748, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=1736","layer":2},{"info":"compute unary expreesion, input=1736, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1736","layer":1},{"info":"number node, value=2123","layer":4},{"info":"number node, value=3688","layer":4},{"info":"compute binary expreesion, left_input=2123, right_input=3688, 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=1139","layer":4},{"info":"number node, value=8218","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=8218, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":2},{"info":"number node, value=1502","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=1502, right_input=2374, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2377","layer":3},{"info":"number node, value=1037","layer":4},{"info":"number node, value=2250","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=2250, 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=1686","layer":3},{"info":"compute binary expreesion, left_input=-2377, right_input=1686, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-11974","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11974, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1736, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=4280972","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆141213≬⋮⇑⪆111110)∘⇑⪆24444⪒⊣⊆⇑⪆22203⨁⊸⫻)≴⪞⇿(⇑⪆31443⇻⋧≁⇑⪆104223⩣⫁∢(⇑⪆14024∀⇚≩⇑⪆230333)⊲⩕⊾(⇑⪆22002⨓⇑⪆33444⪉⨛⇑⪆13122⩇∃⫛⇑⪆33000))=⇑⪆2043442342","reverse_text":"⇑⪆2043442342=((⇑⪆141213≬⋮⇑⪆111110)∘⇑⪆24444⪒⊣⊆⇑⪆22203⨁⊸⫻)≴⪞⇿(⇑⪆31443⇻⋧≁⇑⪆104223⩣⫁∢(⇑⪆14024∀⇚≩⇑⪆230333)⊲⩕⊾(⇑⪆22002⨓⇑⪆33444⪉⨛⇑⪆13122⩇∃⫛⇑⪆33000))","cot":[{"info":"⇑⪆141213≬⋮⇑⪆111110=⇑⪆11433","layer":3},{"info":"⇑⪆24444⪒⊣⊆⇑⪆22203=⇑⪆104443","layer":3},{"info":"⇑⪆11433∘⇑⪆104443=⇑⪆23421","layer":2},{"info":"⇑⪆23421⨁⊸⫻=⇑⪆23421","layer":1},{"info":"⇑⪆31443⇻⋧≁⇑⪆104223=⇑⪆-3242","layer":3},{"info":"⇑⪆14024∀⇚≩⇑⪆230333=NaN","layer":3},{"info":"⇑⪆-3242⩣⫁∢NaN=NaN","layer":2},{"info":"⇑⪆22002⨓⇑⪆33444=⇑⪆-34002","layer":3},{"info":"⇑⪆13122⩇∃⫛⇑⪆33000=⇑⪆23221","layer":3},{"info":"⇑⪆-34002⪉⨛⇑⪆23221=⇑⪆-340344","layer":2},{"info":"NaN⊲⩕⊾⇑⪆-340344=NaN","layer":1},{"info":"⇑⪆23421≴⪞⇿NaN=⇑⪆2043442342","layer":0}]}
{"id":971,"expression_no_base_symbol":"(⨣⨃⇪($4188$⪃⊛⇣$1623$⨫⇇↔($1552$⊝⪿⪼$1842$)))⊔(($1054$≒∊$2806$)∌↝(∨∊⋏$1531$))↓(($1862$⪨⊡$1994$)↬(⫯$3913$))","expression":"(⨣⨃⇪(⇑⪆113223⪃⊛⇣⇑⪆22443⨫⇇↔(⇑⪆22202⊝⪿⪼⇑⪆24332)))⊔((⇑⪆13204≒∊⇑⪆42211)∌↝(∨∊⋏⇑⪆22111))↓((⇑⪆24422⪨⊡⇑⪆30434)↬(⫯⇑⪆111123))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2094883,"operation_count":12,"complexity_ratio":174573.58333333334,"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":4188,"base":5},"right_expr":{"type":"numeric_atoms","value":1623,"base":5}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1552,"base":5},"right_expr":{"type":"numeric_atoms","value":1842,"base":5}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1054,"base":5},"right_expr":{"type":"numeric_atoms","value":2806,"base":5}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1531,"base":5}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1862,"base":5},"right_expr":{"type":"numeric_atoms","value":1994,"base":5}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":3913,"base":5}}}}},"used_operators":["E4l6HwMY31","AcOhelriW5","LXhwmt4mBO","rrgAzCduG9","3Oe9XWJUTD","Af076pWI7l","9Isq31Ruls","5KTvxBwnZo","R5aXW34M0v","B5M0gjZbta","kuIXHzHcAH","H6BK1Evt7c"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","rGHVDoGpnC","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe"],"result":"⇑⪆-2020","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4188","layer":4},{"info":"number node, value=1623","layer":4},{"info":"compute binary expreesion, left_input=4188, right_input=1623, 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=1552","layer":4},{"info":"number node, value=1842","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=1842, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=26336","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=26336, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"number node, value=1054","layer":4},{"info":"number node, value=2806","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=2806, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-570","layer":3},{"info":"number node, value=1531","layer":4},{"info":"compute unary expreesion, input=1531, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=23543","layer":3},{"info":"compute binary expreesion, left_input=-570, right_input=23543, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-70629","layer":2},{"info":"number node, value=1862","layer":4},{"info":"number node, value=1994","layer":4},{"info":"compute binary expreesion, left_input=1862, right_input=1994, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3913","layer":4},{"info":"compute unary expreesion, input=3913, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-149558","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-149558, 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=-149558","layer":2},{"info":"compute binary expreesion, left_input=-70629, right_input=-149558, 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=1405, right_input=-134, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=-260","layer":0}],"base":5,"result_base":5,"text":"(⨣⨃⇪(⇑⪆113223⪃⊛⇣⇑⪆22443⨫⇇↔(⇑⪆22202⊝⪿⪼⇑⪆24332)))⊔((⇑⪆13204≒∊⇑⪆42211)∌↝(∨∊⋏⇑⪆22111))↓((⇑⪆24422⪨⊡⇑⪆30434)↬(⫯⇑⪆111123))=⇑⪆-2020","reverse_text":"⇑⪆-2020=(⨣⨃⇪(⇑⪆113223⪃⊛⇣⇑⪆22443⨫⇇↔(⇑⪆22202⊝⪿⪼⇑⪆24332)))⊔((⇑⪆13204≒∊⇑⪆42211)∌↝(∨∊⋏⇑⪆22111))↓((⇑⪆24422⪨⊡⇑⪆30434)↬(⫯⇑⪆111123))","cot":[{"info":"⇑⪆113223⪃⊛⇣⇑⪆22443=⇑⪆14414","layer":3},{"info":"⇑⪆22202⊝⪿⪼⇑⪆24332=⇑⪆1320321","layer":3},{"info":"⇑⪆14414⨫⇇↔⇑⪆1320321=⇑⪆-4102","layer":2},{"info":"⨣⨃⇪⇑⪆-4102=⇑⪆21110","layer":1},{"info":"⇑⪆13204≒∊⇑⪆42211=⇑⪆-4240","layer":3},{"info":"∨∊⋏⇑⪆22111=⇑⪆1223133","layer":3},{"info":"⇑⪆-4240∌↝⇑⪆1223133=⇑⪆-4230004","layer":2},{"info":"⇑⪆24422⪨⊡⇑⪆30434=⇑⪆0","layer":3},{"info":"⫯⇑⪆111123=⇑⪆-14241213","layer":3},{"info":"⇑⪆0↬⇑⪆-14241213=⇑⪆-14241213","layer":2},{"info":"⇑⪆-4230004↓⇑⪆-14241213=⇑⪆-1014","layer":1},{"info":"⇑⪆21110⊔⇑⪆-1014=⇑⪆-2020","layer":0}]}
{"id":972,"expression_no_base_symbol":"((⨞⊢$9217$⋓$1340$)≃(($1452$⨴∎)↪⪝))↳∿⪆(($9503$⊾⪯⋞$1415$)∛($1241$⩉⊫⨁)⨳⩥⨓($3910$⫰⋱$1224$)⪚($1680$⪄$3921$))","expression":"((⨞⊢⇑⪆243332⋓⇑⪆20330)≃((⇑⪆21302⨴∎)↪⪝))↳∿⪆((⇑⪆301003⊾⪯⋞⇑⪆21130)∛(⇑⪆14431⩉⊫⨁)⨳⩥⨓(⇑⪆111120⫰⋱⇑⪆14344)⪚(⇑⪆23210⪄⇑⪆111141))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":4283,"operation_count":13,"complexity_ratio":329.46153846153845,"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":9217,"base":5},"right_expr":{"type":"numeric_atoms","value":1340,"base":5}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":1452,"base":5}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":9503,"base":5},"right_expr":{"type":"numeric_atoms","value":1415,"base":5}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":1241,"base":5}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3910,"base":5},"right_expr":{"type":"numeric_atoms","value":1224,"base":5}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1680,"base":5},"right_expr":{"type":"numeric_atoms","value":3921,"base":5}}}}},"used_operators":["Cw4SuJJGHO","YbVcJGFEVW","xUOZtlo3hN","T2fj7uvVaJ","l07mrZUIn9","CpSg5vQTgA","nCS4ZIUYfx","w2537kitQq","HK0tfVPux8","7qqUquhhSb","HrjLwUk87U","6o9Blt3TJ6","SUmda5xLS4"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","2DDjHMKMc0","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","W4YGzv6Whe","rysDP5nf3Z","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","7j4O788W3g","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=9217","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=9217, right_input=1340, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":2},{"info":"number node, value=1452","layer":4},{"info":"compute unary expreesion, input=1452, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', 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 binary expreesion, left_input=-174, 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=9503","layer":4},{"info":"number node, value=1415","layer":4},{"info":"compute binary expreesion, left_input=9503, right_input=1415, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2404","layer":3},{"info":"number node, value=1241","layer":4},{"info":"compute unary expreesion, input=1241, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=1241","layer":3},{"info":"compute binary expreesion, left_input=2404, right_input=1241, 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=3910","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=3910, right_input=1224, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3877","layer":3},{"info":"number node, value=1680","layer":4},{"info":"number node, value=3921","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=3921, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-260413","layer":3},{"info":"compute binary expreesion, left_input=-3877, right_input=-260413, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=6878","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=6878, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6811","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6811, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⨞⊢⇑⪆243332⋓⇑⪆20330)≃((⇑⪆21302⨴∎)↪⪝))↳∿⪆((⇑⪆301003⊾⪯⋞⇑⪆21130)∛(⇑⪆14431⩉⊫⨁)⨳⩥⨓(⇑⪆111120⫰⋱⇑⪆14344)⪚(⇑⪆23210⪄⇑⪆111141))=NaN","reverse_text":"NaN=((⨞⊢⇑⪆243332⋓⇑⪆20330)≃((⇑⪆21302⨴∎)↪⪝))↳∿⪆((⇑⪆301003⊾⪯⋞⇑⪆21130)∛(⇑⪆14431⩉⊫⨁)⨳⩥⨓(⇑⪆111120⫰⋱⇑⪆14344)⪚(⇑⪆23210⪄⇑⪆111141))","cot":[{"info":"⇑⪆243332⋓⇑⪆20330=⇑⪆0","layer":3},{"info":"⨞⊢⇑⪆0=⇑⪆-1144","layer":2},{"info":"⇑⪆21302⨴∎=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"⇑⪆-1144≃NaN=NaN","layer":1},{"info":"⇑⪆301003⊾⪯⋞⇑⪆21130=⇑⪆34104","layer":3},{"info":"⇑⪆14431⩉⊫⨁=⇑⪆14431","layer":3},{"info":"⇑⪆34104∛⇑⪆14431=⇑⪆232","layer":2},{"info":"⇑⪆111120⫰⋱⇑⪆14344=⇑⪆-111002","layer":3},{"info":"⇑⪆23210⪄⇑⪆111141=⇑⪆-31313123","layer":3},{"info":"⇑⪆-111002⪚⇑⪆-31313123=⇑⪆210003","layer":2},{"info":"⇑⪆232⨳⩥⨓⇑⪆210003=⇑⪆204221","layer":1},{"info":"NaN↳∿⪆⇑⪆204221=NaN","layer":0}]}
{"id":973,"expression_no_base_symbol":"⊲⪭((⫎≠⋺$3728$)⨎⋸⪻)≦↸(($4286$⇌⫙⪟$6151$)∌($2432$→⨶⪴$4305$))","expression":"⊲⪭((⫎≠⋺⇑⪆104403)⨎⋸⪻)≦↸((⇑⪆114121⇌⫙⪟⇑⪆144101)∌(⇑⪆34212→⨶⪴⇑⪆114210))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":65,"operation_count":7,"complexity_ratio":9.285714285714286,"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":3728,"base":5}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":4286,"base":5},"right_expr":{"type":"numeric_atoms","value":6151,"base":5}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2432,"base":5},"right_expr":{"type":"numeric_atoms","value":4305,"base":5}}}}},"used_operators":["k7HXdKtiEU","RygbFNSyEJ","Dk5vyLCiGd","LYeZOJ0nQG","8cLx32lpNA","AFVx7xoS7T","bF6eod5Gvf"],"dependent_operators":["i8ToyICDmI","xUOZtlo3hN","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","IWmyXbctLI","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","8w2t5hMYqp","9FxExcQeMw"],"result":"⇑⪆1304412","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3728","layer":4},{"info":"compute unary expreesion, input=3728, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=316","layer":2},{"info":"number node, value=4286","layer":4},{"info":"number node, value=6151","layer":4},{"info":"compute binary expreesion, left_input=4286, right_input=6151, 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=2432","layer":4},{"info":"number node, value=4305","layer":4},{"info":"compute binary expreesion, left_input=2432, right_input=4305, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-12915","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-12915, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=12915","layer":2},{"info":"compute binary expreesion, left_input=316, right_input=12915, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-25781","layer":1},{"info":"compute unary expreesion, input=-25781, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=25607","layer":0}],"base":5,"result_base":5,"text":"⊲⪭((⫎≠⋺⇑⪆104403)⨎⋸⪻)≦↸((⇑⪆114121⇌⫙⪟⇑⪆144101)∌(⇑⪆34212→⨶⪴⇑⪆114210))=⇑⪆1304412","reverse_text":"⇑⪆1304412=⊲⪭((⫎≠⋺⇑⪆104403)⨎⋸⪻)≦↸((⇑⪆114121⇌⫙⪟⇑⪆144101)∌(⇑⪆34212→⨶⪴⇑⪆114210))","cot":[{"info":"⫎≠⋺⇑⪆104403=⇑⪆0","layer":3},{"info":"⇑⪆0⨎⋸⪻=⇑⪆2231","layer":2},{"info":"⇑⪆114121⇌⫙⪟⇑⪆144101=⇑⪆423","layer":3},{"info":"⇑⪆34212→⨶⪴⇑⪆114210=⇑⪆-403130","layer":3},{"info":"⇑⪆423∌⇑⪆-403130=⇑⪆403130","layer":2},{"info":"⇑⪆2231≦↸⇑⪆403130=⇑⪆-1311111","layer":1},{"info":"⊲⪭⇑⪆-1311111=⇑⪆1304412","layer":0}]}
{"id":974,"expression_no_base_symbol":"(⇨(∓$1886$∼$6004$))⊉↱≁(⊑(⊙↵-$3630$⫗⊷⫓$1437$))","expression":"(⇨(∓⇑⪆30021∼⇑⪆143004))⊉↱≁(⊑(⊙↵-⇑⪆104010⫗⊷⫓⇑⪆21222))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1116512,"operation_count":7,"complexity_ratio":159501.7142857143,"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":1886,"base":5},"right_expr":{"type":"numeric_atoms","value":6004,"base":5}}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3630,"base":5},"right_expr":{"type":"numeric_atoms","value":1437,"base":5}}}}},"used_operators":["w2P8NbNXyL","G9tJMlZ94a","OwUj7dcsQK","DyGG3AbaNP","IkUmn0D7oy","oWn0xqSxBt","zashukvMKz"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","k8jYdgA6NY","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1886","layer":4},{"info":"number node, value=6004","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=6004, 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 = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(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=3630","layer":4},{"info":"number node, value=1437","layer":4},{"info":"compute binary expreesion, left_input=3630, right_input=1437, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=192, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇨(∓⇑⪆30021∼⇑⪆143004))⊉↱≁(⊑(⊙↵-⇑⪆104010⫗⊷⫓⇑⪆21222))=NaN","reverse_text":"NaN=(⇨(∓⇑⪆30021∼⇑⪆143004))⊉↱≁(⊑(⊙↵-⇑⪆104010⫗⊷⫓⇑⪆21222))","cot":[{"info":"⇑⪆30021∼⇑⪆143004=NaN","layer":3},{"info":"∓NaN=NaN","layer":2},{"info":"⇨NaN=NaN","layer":1},{"info":"⇑⪆104010⫗⊷⫓⇑⪆21222=⇑⪆-1014","layer":3},{"info":"⊙↵-⇑⪆-1014=⇑⪆0","layer":2},{"info":"⊑⇑⪆0=⇑⪆1232","layer":1},{"info":"NaN⊉↱≁⇑⪆1232=NaN","layer":0}]}
{"id":975,"expression_no_base_symbol":"(($1846$/$5484$)⋹⋡⊁($5870$⪢$1063$)⇌⫙⪟($3547$⇣⩺⋵$3878$⫸⊐$2623$↡⊰⫅$2873$))⨼⩣(((∓$1416$)∖$3836$⪇≇⋚$7001$)⇼⇔∾(⇠$2713$)⨒$1938$≹⇙⪍$1450$)","expression":"((⇑⪆24341/⇑⪆133414)⋹⋡⊁(⇑⪆141440⪢⇑⪆13223)⇌⫙⪟(⇑⪆103142⇣⩺⋵⇑⪆111003⫸⊐⇑⪆40443↡⊰⫅⇑⪆42443))⨼⩣(((∓⇑⪆21131)∖⇑⪆110321⪇≇⋚⇑⪆211001)⇼⇔∾(⇠⇑⪆41323)⨒⇑⪆30223≹⇙⪍⇑⪆21300)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":43263,"operation_count":15,"complexity_ratio":2884.2,"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":1846,"base":5},"right_expr":{"type":"numeric_atoms","value":5484,"base":5}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5870,"base":5},"right_expr":{"type":"numeric_atoms","value":1063,"base":5}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":3547,"base":5},"right_expr":{"type":"numeric_atoms","value":3878,"base":5}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2623,"base":5},"right_expr":{"type":"numeric_atoms","value":2873,"base":5}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":1416,"base":5}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3836,"base":5},"right_expr":{"type":"numeric_atoms","value":7001,"base":5}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":2713,"base":5}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1938,"base":5},"right_expr":{"type":"numeric_atoms","value":1450,"base":5}}}}},"used_operators":["JxwMv5le6e","AFVx7xoS7T","As8RqfVLgs","XhwjNDsVaA","dWAJyo7jo9","mqXw5SEYmG","F4yD0voBRQ","VCtxkLNOzz","tifHPKVTfV","tXD093vOjl","OwUj7dcsQK","3sJ7IOPOlU","y75s1iXyHd","18saOjeKKm","AHs5Up7iyr"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1846","layer":4},{"info":"number node, value=5484","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=5484, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=5870","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=5870, right_input=1063, 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=0, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=-262","layer":2},{"info":"number node, value=3547","layer":4},{"info":"number node, value=3878","layer":4},{"info":"compute binary expreesion, left_input=3547, right_input=3878, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=2623","layer":4},{"info":"number node, value=2873","layer":4},{"info":"compute binary expreesion, left_input=2623, right_input=2873, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5746","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=5746, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=224","layer":2},{"info":"compute binary expreesion, left_input=-262, right_input=224, 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=1416","layer":4},{"info":"compute unary expreesion, input=1416, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-26112","layer":3},{"info":"number node, value=3836","layer":4},{"info":"number node, value=7001","layer":4},{"info":"compute binary expreesion, left_input=3836, right_input=7001, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-26112, 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":2},{"info":"number node, value=2713","layer":4},{"info":"compute unary expreesion, input=2713, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2471","layer":3},{"info":"number node, value=1938","layer":4},{"info":"number node, value=1450","layer":4},{"info":"compute binary expreesion, left_input=1938, right_input=1450, 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=-2471, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆24341/⇑⪆133414)⋹⋡⊁(⇑⪆141440⪢⇑⪆13223)⇌⫙⪟(⇑⪆103142⇣⩺⋵⇑⪆111003⫸⊐⇑⪆40443↡⊰⫅⇑⪆42443))⨼⩣(((∓⇑⪆21131)∖⇑⪆110321⪇≇⋚⇑⪆211001)⇼⇔∾(⇠⇑⪆41323)⨒⇑⪆30223≹⇙⪍⇑⪆21300)=NaN","reverse_text":"NaN=((⇑⪆24341/⇑⪆133414)⋹⋡⊁(⇑⪆141440⪢⇑⪆13223)⇌⫙⪟(⇑⪆103142⇣⩺⋵⇑⪆111003⫸⊐⇑⪆40443↡⊰⫅⇑⪆42443))⨼⩣(((∓⇑⪆21131)∖⇑⪆110321⪇≇⋚⇑⪆211001)⇼⇔∾(⇠⇑⪆41323)⨒⇑⪆30223≹⇙⪍⇑⪆21300)","cot":[{"info":"⇑⪆24341/⇑⪆133414=⇑⪆0","layer":3},{"info":"⇑⪆141440⪢⇑⪆13223=NaN","layer":3},{"info":"⇑⪆0⋹⋡⊁NaN=⇑⪆-2022","layer":2},{"info":"⇑⪆103142⇣⩺⋵⇑⪆111003=⇑⪆-2020","layer":3},{"info":"⇑⪆40443↡⊰⫅⇑⪆42443=⇑⪆140441","layer":3},{"info":"⇑⪆-2020⫸⊐⇑⪆140441=⇑⪆1344","layer":2},{"info":"⇑⪆-2022⇌⫙⪟⇑⪆1344=⇑⪆423","layer":1},{"info":"∓⇑⪆21131=⇑⪆-1313422","layer":3},{"info":"⇑⪆110321⪇≇⋚⇑⪆211001=⇑⪆0","layer":3},{"info":"⇑⪆-1313422∖⇑⪆0=⇑⪆0","layer":2},{"info":"⇠⇑⪆41323=⇑⪆-34341","layer":3},{"info":"⇑⪆30223≹⇙⪍⇑⪆21300=NaN","layer":3},{"info":"⇑⪆-34341⨒NaN=NaN","layer":2},{"info":"⇑⪆0⇼⇔∾NaN=NaN","layer":1},{"info":"⇑⪆423⨼⩣NaN=NaN","layer":0}]}
{"id":976,"expression_no_base_symbol":"(⊆⋠(($1276$⨟⋌⩍$2805$)⋹))↛⩡⫤","expression":"(⊆⋠((⇑⪆20101⨟⋌⩍⇑⪆42210)⋹))↛⩡⫤","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":12120,"operation_count":4,"complexity_ratio":3030.0,"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":1276,"base":5},"right_expr":{"type":"numeric_atoms","value":2805,"base":5}}}}},"used_operators":["FU0Cs4j7VP","EBhcHTkKd8","opAxDRczMr","rGHVDoGpnC"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","Tcnh7f0tEr"],"result":"⇑⪆-123100133","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1276","layer":4},{"info":"number node, value=2805","layer":4},{"info":"compute binary expreesion, left_input=1276, right_input=2805, 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 = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":1},{"info":"compute unary expreesion, input=3979, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-596918","layer":0}],"base":5,"result_base":5,"text":"(⊆⋠((⇑⪆20101⨟⋌⩍⇑⪆42210)⋹))↛⩡⫤=⇑⪆-123100133","reverse_text":"⇑⪆-123100133=(⊆⋠((⇑⪆20101⨟⋌⩍⇑⪆42210)⋹))↛⩡⫤","cot":[{"info":"⇑⪆20101⨟⋌⩍⇑⪆42210=NaN","layer":3},{"info":"NaN⋹=NaN","layer":2},{"info":"⊆⋠NaN=⇑⪆111404","layer":1},{"info":"⇑⪆111404↛⩡⫤=⇑⪆-123100133","layer":0}]}
{"id":977,"expression_no_base_symbol":"(($1452$⋻⩜⩜$1661$)⨐$2465$⫗⊷⫓$4297$↡⊰⫅(⫓⪴$1256$≁↽≥$1128$))⫉⨲⊜(($2104$⫗⊷⫓$1291$⪛⫼(⩪∧⨌$3173$))⫥∨⫟($1125$⨎$2691$)≦↸($3130$⨱∎))","expression":"((⇑⪆21302⋻⩜⩜⇑⪆23121)⨐⇑⪆34330⫗⊷⫓⇑⪆114142↡⊰⫅(⫓⪴⇑⪆20011≁↽≥⇑⪆14003))⫉⨲⊜((⇑⪆31404⫗⊷⫓⇑⪆20131⪛⫼(⩪∧⨌⇑⪆100143))⫥∨⫟(⇑⪆14000⨎⇑⪆41231)≦↸(⇑⪆100010⨱∎))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1050582,"operation_count":14,"complexity_ratio":75041.57142857143,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1452,"base":5},"right_expr":{"type":"numeric_atoms","value":1661,"base":5}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2465,"base":5},"right_expr":{"type":"numeric_atoms","value":4297,"base":5}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1256,"base":5},"right_expr":{"type":"numeric_atoms","value":1128,"base":5}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2104,"base":5},"right_expr":{"type":"numeric_atoms","value":1291,"base":5}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":3173,"base":5}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1125,"base":5},"right_expr":{"type":"numeric_atoms","value":2691,"base":5}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":3130,"base":5}}}}},"used_operators":["WhqkvtTD3t","VCtxkLNOzz","Noe24qw2ks","oDCm7WA9JY","zashukvMKz","eLxqMNBOBk","ncHt1X6cMc","KYD54nUTWz","hyuBjUqXlG","6iOiAJX1F8","RygbFNSyEJ","rJVOvQCfKK","MmTdOpaElr"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9HNa5Wba9A","oWn0xqSxBt","3Oe9XWJUTD","8HhzD0ZcuI","rGHVDoGpnC","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1452","layer":4},{"info":"number node, value=1661","layer":4},{"info":"compute binary expreesion, left_input=1452, right_input=1661, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2904","layer":3},{"info":"number node, value=2465","layer":4},{"info":"number node, value=4297","layer":4},{"info":"compute binary expreesion, left_input=2465, right_input=4297, 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=2904, right_input=-134, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-5808","layer":2},{"info":"number node, value=1256","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=1256, right_input=1128, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=23916","layer":3},{"info":"compute unary expreesion, input=23916, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=571975056","layer":2},{"info":"compute binary expreesion, left_input=-5808, right_input=571975056, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=1143950112","layer":1},{"info":"number node, value=2104","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=2104, right_input=1291, 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=3173","layer":4},{"info":"compute unary expreesion, input=3173, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=31730","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=31730, 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=1125","layer":4},{"info":"number node, value=2691","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=2691, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2691","layer":3},{"info":"number node, value=3130","layer":4},{"info":"compute unary expreesion, input=3130, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2691, right_input=0, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-4701","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=-4701, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1143950112, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆21302⋻⩜⩜⇑⪆23121)⨐⇑⪆34330⫗⊷⫓⇑⪆114142↡⊰⫅(⫓⪴⇑⪆20011≁↽≥⇑⪆14003))⫉⨲⊜((⇑⪆31404⫗⊷⫓⇑⪆20131⪛⫼(⩪∧⨌⇑⪆100143))⫥∨⫟(⇑⪆14000⨎⇑⪆41231)≦↸(⇑⪆100010⨱∎))=NaN","reverse_text":"NaN=((⇑⪆21302⋻⩜⩜⇑⪆23121)⨐⇑⪆34330⫗⊷⫓⇑⪆114142↡⊰⫅(⫓⪴⇑⪆20011≁↽≥⇑⪆14003))⫉⨲⊜((⇑⪆31404⫗⊷⫓⇑⪆20131⪛⫼(⩪∧⨌⇑⪆100143))⫥∨⫟(⇑⪆14000⨎⇑⪆41231)≦↸(⇑⪆100010⨱∎))","cot":[{"info":"⇑⪆21302⋻⩜⩜⇑⪆23121=⇑⪆43104","layer":3},{"info":"⇑⪆34330⫗⊷⫓⇑⪆114142=⇑⪆-1014","layer":3},{"info":"⇑⪆43104⨐⇑⪆-1014=⇑⪆-141213","layer":2},{"info":"⇑⪆20011≁↽≥⇑⪆14003=⇑⪆1231131","layer":3},{"info":"⫓⪴⇑⪆1231131=⇑⪆2132411200211","layer":2},{"info":"⇑⪆-141213↡⊰⫅⇑⪆2132411200211=⇑⪆4320322400422","layer":1},{"info":"⇑⪆31404⫗⊷⫓⇑⪆20131=⇑⪆-1014","layer":3},{"info":"⩪∧⨌⇑⪆100143=⇑⪆2003410","layer":3},{"info":"⇑⪆-1014⪛⫼⇑⪆2003410=⇑⪆12333","layer":2},{"info":"⇑⪆14000⨎⇑⪆41231=⇑⪆41231","layer":3},{"info":"⇑⪆100010⨱∎=⇑⪆0","layer":3},{"info":"⇑⪆41231≦↸⇑⪆0=⇑⪆-122301","layer":2},{"info":"⇑⪆12333⫥∨⫟⇑⪆-122301=NaN","layer":1},{"info":"⇑⪆4320322400422⫉⨲⊜NaN=NaN","layer":0}]}
{"id":978,"expression_no_base_symbol":"(($2863$⩇∃⫛$4399$)∊∟⩊($5369$∥⊢⊲$4869$)⊹∫⫚($3049$⪎↠$6639$*($3708$≑≱⪘)))⪔(⊀((⪹$4205$)⨎$7462$⨂≜$1002$))","expression":"((⇑⪆42423⩇∃⫛⇑⪆120044)∊∟⩊(⇑⪆132434∥⊢⊲⇑⪆123434)⊹∫⫚(⇑⪆44144⪎↠⇑⪆203024*(⇑⪆104313≑≱⪘)))⪔(⊀((⪹⇑⪆113310)⨎⇑⪆214322⨂≜⇑⪆13002))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":157877,"operation_count":12,"complexity_ratio":13156.416666666666,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":2863,"base":5},"right_expr":{"type":"numeric_atoms","value":4399,"base":5}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":5369,"base":5},"right_expr":{"type":"numeric_atoms","value":4869,"base":5}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3049,"base":5},"right_expr":{"type":"numeric_atoms","value":6639,"base":5}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":3708,"base":5}}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":4205,"base":5}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":7462,"base":5},"right_expr":{"type":"numeric_atoms","value":1002,"base":5}}}}},"used_operators":["GjBEYRfMaF","uWAJUKEvyW","ddLRYrp01A","1aApVXNlOP","v1UQAVDJRr","9HNa5Wba9A","3tVxb0NHM4","tGSeddj7UK","oPMjh9089D","rJVOvQCfKK","USyYr0JgAa","k1SHOSEABc"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","EBcxylXtPf","rGHVDoGpnC","W4YGzv6Whe","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tifHPKVTfV","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2863","layer":4},{"info":"number node, value=4399","layer":4},{"info":"compute binary expreesion, left_input=2863, right_input=4399, 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=2009","layer":3},{"info":"number node, value=5369","layer":4},{"info":"number node, value=4869","layer":4},{"info":"compute binary expreesion, left_input=5369, right_input=4869, 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=2009, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=20","layer":2},{"info":"number node, value=3049","layer":4},{"info":"number node, value=6639","layer":4},{"info":"compute binary expreesion, left_input=3049, right_input=6639, 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=3708","layer":4},{"info":"compute unary expreesion, input=3708, 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=92773","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=92773, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14843680","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=14843680, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-332","layer":1},{"info":"number node, value=4205","layer":4},{"info":"compute unary expreesion, input=4205, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-4025","layer":3},{"info":"number node, value=7462","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=7462, right_input=1002, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4025, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute 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":1},{"info":"compute binary expreesion, left_input=-332, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆42423⩇∃⫛⇑⪆120044)∊∟⩊(⇑⪆132434∥⊢⊲⇑⪆123434)⊹∫⫚(⇑⪆44144⪎↠⇑⪆203024*(⇑⪆104313≑≱⪘)))⪔(⊀((⪹⇑⪆113310)⨎⇑⪆214322⨂≜⇑⪆13002))=NaN","reverse_text":"NaN=((⇑⪆42423⩇∃⫛⇑⪆120044)∊∟⩊(⇑⪆132434∥⊢⊲⇑⪆123434)⊹∫⫚(⇑⪆44144⪎↠⇑⪆203024*(⇑⪆104313≑≱⪘)))⪔(⊀((⪹⇑⪆113310)⨎⇑⪆214322⨂≜⇑⪆13002))","cot":[{"info":"⇑⪆42423⩇∃⫛⇑⪆120044=⇑⪆31014","layer":3},{"info":"⇑⪆132434∥⊢⊲⇑⪆123434=NaN","layer":3},{"info":"⇑⪆31014∊∟⩊NaN=⇑⪆40","layer":2},{"info":"⇑⪆44144⪎↠⇑⪆203024=⇑⪆1120","layer":3},{"info":"⇑⪆104313≑≱⪘=⇑⪆10432043","layer":3},{"info":"⇑⪆1120*⇑⪆10432043=⇑⪆12244444210","layer":2},{"info":"⇑⪆40⊹∫⫚⇑⪆12244444210=⇑⪆-2312","layer":1},{"info":"⪹⇑⪆113310=⇑⪆-112100","layer":3},{"info":"⇑⪆214322⨂≜⇑⪆13002=NaN","layer":3},{"info":"⇑⪆-112100⨎NaN=NaN","layer":2},{"info":"⊀NaN=NaN","layer":1},{"info":"⇑⪆-2312⪔NaN=NaN","layer":0}]}
{"id":979,"expression_no_base_symbol":"⨰⫟⨤(($2512$⫁⪎$1646$↺($5879$⪥⨬⪅))≃(⨆≐≲$4836$)↢(⩎⋉$1227$))","expression":"⨰⫟⨤((⇑⪆40022⫁⪎⇑⪆23041↺(⇑⪆142004⪥⨬⪅))≃(⨆≐≲⇑⪆123321)↢(⩎⋉⇑⪆14402))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3198,"operation_count":8,"complexity_ratio":399.75,"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":2512,"base":5},"right_expr":{"type":"numeric_atoms","value":1646,"base":5}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":5879,"base":5}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":4836,"base":5}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1227,"base":5}}}}},"used_operators":["Tw270M8GLb","YbVcJGFEVW","7j4O788W3g","xRrnTEsQ6j","zNRQejTB5A","WR6HLWljOP","Bi9z9uYZqW","FlXk3pOYe8"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2512","layer":4},{"info":"number node, value=1646","layer":4},{"info":"compute binary expreesion, left_input=2512, right_input=1646, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=866","layer":3},{"info":"number node, value=5879","layer":4},{"info":"compute unary expreesion, input=5879, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=866, right_input=-473, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-473","layer":2},{"info":"number node, value=4836","layer":4},{"info":"compute unary expreesion, input=4836, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=52591704","layer":3},{"info":"number node, value=1227","layer":4},{"info":"compute unary expreesion, input=1227, 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=52591704, right_input=1650, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=52591220","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=52591220, 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=926","layer":1},{"info":"compute unary expreesion, input=926, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⨰⫟⨤((⇑⪆40022⫁⪎⇑⪆23041↺(⇑⪆142004⪥⨬⪅))≃(⨆≐≲⇑⪆123321)↢(⩎⋉⇑⪆14402))=NaN","reverse_text":"NaN=⨰⫟⨤((⇑⪆40022⫁⪎⇑⪆23041↺(⇑⪆142004⪥⨬⪅))≃(⨆≐≲⇑⪆123321)↢(⩎⋉⇑⪆14402))","cot":[{"info":"⇑⪆40022⫁⪎⇑⪆23041=⇑⪆11431","layer":3},{"info":"⇑⪆142004⪥⨬⪅=⇑⪆-3343","layer":3},{"info":"⇑⪆11431↺⇑⪆-3343=⇑⪆-3343","layer":2},{"info":"⨆≐≲⇑⪆123321=⇑⪆101430413304","layer":3},{"info":"⩎⋉⇑⪆14402=⇑⪆23100","layer":3},{"info":"⇑⪆101430413304↢⇑⪆23100=⇑⪆101430404340","layer":2},{"info":"⇑⪆-3343≃⇑⪆101430404340=⇑⪆12201","layer":1},{"info":"⨰⫟⨤⇑⪆12201=NaN","layer":0}]}
{"id":980,"expression_no_base_symbol":"($1271$⪭≯$1659$⊉≛↸$3008$↢$2249$)⋕⪉⪜($4730$⫣⪄⊒$2209$≀⩗∶$1415$⪔⊥$3592$)↓(⨵$5282$⨂≜$2751$≎⪠($1716$∺≝⩲$6582$))","expression":"(⇑⪆20041⪭≯⇑⪆23114⊉≛↸⇑⪆44013↢⇑⪆32444)⋕⪉⪜(⇑⪆122410⫣⪄⊒⇑⪆32314≀⩗∶⇑⪆21130⪔⊥⇑⪆103332)↓(⨵⇑⪆132112⨂≜⇑⪆42001≎⪠(⇑⪆23331∺≝⩲⇑⪆202312))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2232471,"operation_count":12,"complexity_ratio":186039.25,"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":1271,"base":5},"right_expr":{"type":"numeric_atoms","value":1659,"base":5}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":3008,"base":5},"right_expr":{"type":"numeric_atoms","value":2249,"base":5}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4730,"base":5},"right_expr":{"type":"numeric_atoms","value":2209,"base":5}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1415,"base":5},"right_expr":{"type":"numeric_atoms","value":3592,"base":5}}}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":5282,"base":5},"right_expr":{"type":"numeric_atoms","value":2751,"base":5}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1716,"base":5},"right_expr":{"type":"numeric_atoms","value":6582,"base":5}}}}},"used_operators":["Af076pWI7l","z6LnFrNh4i","DZ8iAZOCBD","XAx5wpdLa6","WR6HLWljOP","8INZBEW696","RabNbG55vr","HJ9erzHUuu","Tl3Y52tvF8","aNhz54LH3e","k1SHOSEABc","KPf6cnQVty"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⇑⪆-1014","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1271","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=1271, right_input=1659, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=3008","layer":4},{"info":"number node, value=2249","layer":4},{"info":"compute binary expreesion, left_input=3008, right_input=2249, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2524","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2524, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=4730","layer":4},{"info":"number node, value=2209","layer":4},{"info":"compute binary expreesion, left_input=4730, right_input=2209, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-4306","layer":3},{"info":"number node, value=1415","layer":4},{"info":"number node, value=3592","layer":4},{"info":"compute binary expreesion, left_input=1415, right_input=3592, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-1723","layer":3},{"info":"compute binary expreesion, left_input=-4306, right_input=-1723, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=5282","layer":4},{"info":"number node, value=2751","layer":4},{"info":"compute binary expreesion, left_input=5282, right_input=2751, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1716","layer":4},{"info":"number node, value=6582","layer":4},{"info":"compute binary expreesion, left_input=1716, right_input=6582, 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 = 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 = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-157673","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=-157673, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆20041⪭≯⇑⪆23114⊉≛↸⇑⪆44013↢⇑⪆32444)⋕⪉⪜(⇑⪆122410⫣⪄⊒⇑⪆32314≀⩗∶⇑⪆21130⪔⊥⇑⪆103332)↓(⨵⇑⪆132112⨂≜⇑⪆42001≎⪠(⇑⪆23331∺≝⩲⇑⪆202312))=⇑⪆-1014","reverse_text":"⇑⪆-1014=(⇑⪆20041⪭≯⇑⪆23114⊉≛↸⇑⪆44013↢⇑⪆32444)⋕⪉⪜(⇑⪆122410⫣⪄⊒⇑⪆32314≀⩗∶⇑⪆21130⪔⊥⇑⪆103332)↓(⨵⇑⪆132112⨂≜⇑⪆42001≎⪠(⇑⪆23331∺≝⩲⇑⪆202312))","cot":[{"info":"⇑⪆20041⪭≯⇑⪆23114=NaN","layer":3},{"info":"⇑⪆44013↢⇑⪆32444=⇑⪆40044","layer":3},{"info":"NaN⊉≛↸⇑⪆40044=NaN","layer":2},{"info":"⇑⪆122410⫣⪄⊒⇑⪆32314=⇑⪆-114211","layer":3},{"info":"⇑⪆21130⪔⊥⇑⪆103332=⇑⪆-23343","layer":3},{"info":"⇑⪆-114211≀⩗∶⇑⪆-23343=⇑⪆0","layer":2},{"info":"NaN⋕⪉⪜⇑⪆0=⇑⪆1304","layer":1},{"info":"⇑⪆132112⨂≜⇑⪆42001=NaN","layer":3},{"info":"⇑⪆23331∺≝⩲⇑⪆202312=⇑⪆1120","layer":3},{"info":"NaN≎⪠⇑⪆1120=⇑⪆1111213","layer":2},{"info":"⨵⇑⪆1111213=⇑⪆-20021143","layer":1},{"info":"⇑⪆1304↓⇑⪆-20021143=⇑⪆-1014","layer":0}]}
{"id":981,"expression_no_base_symbol":"(($4003$≚⊃≕$2330$)⇤($1143$⊍)⩍⋽⫝̸(⨝⨆(∑⇻≧$7478$)))⨿(($2861$⇤$6884$⪢($1962$⋷$6079$))⪢($2088$⫿)↓$7459$⇡⇂$2133$)","expression":"((⇑⪆112003≚⊃≕⇑⪆33310)⇤(⇑⪆14033⊍)⩍⋽⫝̸(⨝⨆(∑⇻≧⇑⪆214403)))⨿((⇑⪆42421⇤⇑⪆210014⪢(⇑⪆30322⋷⇑⪆143304))⪢(⇑⪆31323⫿)↓⇑⪆214314⇡⇂⇑⪆32013)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":114168,"operation_count":14,"complexity_ratio":8154.857142857143,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":4003,"base":5},"right_expr":{"type":"numeric_atoms","value":2330,"base":5}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":1143,"base":5}}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":7478,"base":5}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2861,"base":5},"right_expr":{"type":"numeric_atoms","value":6884,"base":5}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1962,"base":5},"right_expr":{"type":"numeric_atoms","value":6079,"base":5}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":2088,"base":5}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":7459,"base":5},"right_expr":{"type":"numeric_atoms","value":2133,"base":5}}}}},"used_operators":["abYXlopdE0","BiWNJpBvwn","YSKBFp38Pu","Bmrmz2XGnR","3nqY3DE9mg","bQ67fsrMVf","l1M9WJ3V7u","dWAJyo7jo9","23Mk6UjR3U","Af076pWI7l","9tKT6PmtkH","UMwdvZNt44"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","tifHPKVTfV","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"⇑⪆-2234","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4003","layer":4},{"info":"number node, value=2330","layer":4},{"info":"compute binary expreesion, left_input=4003, right_input=2330, 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=1143","layer":4},{"info":"compute unary expreesion, input=1143, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=1749","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=1749, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-6232","layer":2},{"info":"number node, value=7478","layer":4},{"info":"compute unary expreesion, input=7478, 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 = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-1061","layer":2},{"info":"compute binary expreesion, left_input=-6232, right_input=-1061, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4489","layer":1},{"info":"number node, value=2861","layer":4},{"info":"number node, value=6884","layer":4},{"info":"compute binary expreesion, left_input=2861, right_input=6884, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-45877","layer":3},{"info":"number node, value=1962","layer":4},{"info":"number node, value=6079","layer":4},{"info":"compute binary expreesion, left_input=1962, right_input=6079, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10196","layer":3},{"info":"compute binary expreesion, left_input=-45877, right_input=10196, 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=2088","layer":4},{"info":"compute unary expreesion, input=2088, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=2088","layer":3},{"info":"number node, value=7459","layer":4},{"info":"number node, value=2133","layer":4},{"info":"compute binary expreesion, left_input=7459, right_input=2133, 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=2088, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4489, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆112003≚⊃≕⇑⪆33310)⇤(⇑⪆14033⊍)⩍⋽⫝̸(⨝⨆(∑⇻≧⇑⪆214403)))⨿((⇑⪆42421⇤⇑⪆210014⪢(⇑⪆30322⋷⇑⪆143304))⪢(⇑⪆31323⫿)↓⇑⪆214314⇡⇂⇑⪆32013)=⇑⪆-2234","reverse_text":"⇑⪆-2234=((⇑⪆112003≚⊃≕⇑⪆33310)⇤(⇑⪆14033⊍)⩍⋽⫝̸(⨝⨆(∑⇻≧⇑⪆214403)))⨿((⇑⪆42421⇤⇑⪆210014⪢(⇑⪆30322⋷⇑⪆143304))⪢(⇑⪆31323⫿)↓⇑⪆214314⇡⇂⇑⪆32013)","cot":[{"info":"⇑⪆112003≚⊃≕⇑⪆33310=⇑⪆232","layer":3},{"info":"⇑⪆14033⊍=⇑⪆23444","layer":3},{"info":"⇑⪆232⇤⇑⪆23444=⇑⪆-144412","layer":2},{"info":"∑⇻≧⇑⪆214403=⇑⪆-11402","layer":3},{"info":"⨝⨆⇑⪆-11402=⇑⪆-13221","layer":2},{"info":"⇑⪆-144412⩍⋽⫝̸⇑⪆-13221=⇑⪆120424","layer":1},{"info":"⇑⪆42421⇤⇑⪆210014=⇑⪆-2432002","layer":3},{"info":"⇑⪆30322⋷⇑⪆143304=⇑⪆311241","layer":3},{"info":"⇑⪆-2432002⪢⇑⪆311241=NaN","layer":2},{"info":"⇑⪆31323⫿=⇑⪆31323","layer":3},{"info":"⇑⪆214314⇡⇂⇑⪆32013=NaN","layer":3},{"info":"⇑⪆31323↓NaN=⇑⪆-1014","layer":2},{"info":"NaN⪢⇑⪆-1014=NaN","layer":1},{"info":"⇑⪆120424⨿NaN=⇑⪆-2234","layer":0}]}
{"id":982,"expression_no_base_symbol":"((∡$2355$⋛$5776$)⪁(⨦⪝$6207$)⪒⊣⊆($6643$⋾⨃∁$1002$))∙⊟($7836$⫠)⨪↰⇹($4254$↺$3939$)∠⫱($3991$⫗⊷⫓$1657$⊹≧⊝)","expression":"((∡⇑⪆33410⋛⇑⪆141101)⪁(⨦⪝⇑⪆144312)⪒⊣⊆(⇑⪆203033⋾⨃∁⇑⪆13002))∙⊟(⇑⪆222321⫠)⨪↰⇹(⇑⪆114004↺⇑⪆111224)∠⫱(⇑⪆111431⫗⊷⫓⇑⪆23112⊹≧⊝)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":22123687,"operation_count":13,"complexity_ratio":1701822.076923077,"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":2355,"base":5},"right_expr":{"type":"numeric_atoms","value":5776,"base":5}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":6207,"base":5}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":6643,"base":5},"right_expr":{"type":"numeric_atoms","value":1002,"base":5}}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":7836,"base":5}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4254,"base":5},"right_expr":{"type":"numeric_atoms","value":3939,"base":5}}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3991,"base":5},"right_expr":{"type":"numeric_atoms","value":1657,"base":5}}}}},"used_operators":["SxTAKzQCrw","I7sXao9hZE","pRsWfj4Fpp","YbUVn0Rbpy","eRqsBgTDFp","SUjycxNXIR","212REbPD9h","QvoQhV0rrE","tmPS8pqC7x","6SnOT2rOjz","7j4O788W3g","LxFB4K6j0n","zashukvMKz"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","sdazOOVcIp","W4YGzv6Whe","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rJVOvQCfKK","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2355","layer":4},{"info":"number node, value=5776","layer":4},{"info":"compute binary expreesion, left_input=2355, right_input=5776, 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=-110997","layer":3},{"info":"compute unary expreesion, input=-110997, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=665982","layer":2},{"info":"number node, value=6207","layer":4},{"info":"compute unary expreesion, input=6207, 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=6643","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=6643, right_input=1002, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=10027922","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=10027922, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=20059714","layer":2},{"info":"compute binary expreesion, left_input=665982, right_input=20059714, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=7836","layer":4},{"info":"compute unary expreesion, input=7836, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=4254","layer":4},{"info":"number node, value=3939","layer":4},{"info":"compute binary expreesion, left_input=4254, right_input=3939, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3939","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3939, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=3991","layer":4},{"info":"number node, value=1657","layer":4},{"info":"compute binary expreesion, left_input=3991, right_input=1657, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=536","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=536, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((∡⇑⪆33410⋛⇑⪆141101)⪁(⨦⪝⇑⪆144312)⪒⊣⊆(⇑⪆203033⋾⨃∁⇑⪆13002))∙⊟(⇑⪆222321⫠)⨪↰⇹(⇑⪆114004↺⇑⪆111224)∠⫱(⇑⪆111431⫗⊷⫓⇑⪆23112⊹≧⊝)=NaN","reverse_text":"NaN=((∡⇑⪆33410⋛⇑⪆141101)⪁(⨦⪝⇑⪆144312)⪒⊣⊆(⇑⪆203033⋾⨃∁⇑⪆13002))∙⊟(⇑⪆222321⫠)⨪↰⇹(⇑⪆114004↺⇑⪆111224)∠⫱(⇑⪆111431⫗⊷⫓⇑⪆23112⊹≧⊝)","cot":[{"info":"⇑⪆33410⋛⇑⪆141101=⇑⪆-12022442","layer":3},{"info":"∡⇑⪆-12022442=⇑⪆132302412","layer":2},{"info":"⨦⪝⇑⪆144312=⇑⪆-30014","layer":3},{"info":"⇑⪆203033⋾⨃∁⇑⪆13002=⇑⪆10031343142","layer":3},{"info":"⇑⪆-30014⪒⊣⊆⇑⪆10031343142=⇑⪆20113402324","layer":2},{"info":"⇑⪆132302412⪁⇑⪆20113402324=NaN","layer":1},{"info":"⇑⪆222321⫠=⇑⪆0","layer":3},{"info":"⇑⪆114004↺⇑⪆111224=⇑⪆111224","layer":3},{"info":"⇑⪆0⨪↰⇹⇑⪆111224=⇑⪆0","layer":2},{"info":"⇑⪆111431⫗⊷⫓⇑⪆23112=⇑⪆-1014","layer":3},{"info":"⇑⪆-1014⊹≧⊝=⇑⪆4121","layer":2},{"info":"⇑⪆0∠⫱⇑⪆4121=⇑⪆14414","layer":1},{"info":"NaN∙⊟⇑⪆14414=NaN","layer":0}]}
{"id":983,"expression_no_base_symbol":"((⊈$2432$)∊∟⩊$1189$⨔⇊$4042$⩚⊴⇥($3363$≨$1110$+$3902$⫉⨲⊜$5008$))⨸(⇺⋃(≔(⋂$4942$)))","expression":"((⊈⇑⪆34212)∊∟⩊⇑⪆14224⨔⇊⇑⪆112132⩚⊴⇥(⇑⪆101423≨⇑⪆13420+⇑⪆111102⫉⨲⊜⇑⪆130013))⨸(⇺⋃(≔(⋂⇑⪆124232)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":27320,"operation_count":11,"complexity_ratio":2483.6363636363635,"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":2432,"base":5}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1189,"base":5},"right_expr":{"type":"numeric_atoms","value":4042,"base":5}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3363,"base":5},"right_expr":{"type":"numeric_atoms","value":1110,"base":5}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3902,"base":5},"right_expr":{"type":"numeric_atoms","value":5008,"base":5}}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":4942,"base":5}}}}},"used_operators":["KmoU8R5UQR","NTOWxs364D","ddLRYrp01A","RHru8klgy8","JclMnS0uGI","W4YGzv6Whe","0KMCeP1Jsh","WhqkvtTD3t","E5v5B3UAjG","8FLs4eVsLt","BUOGQAYlQx"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","12rbrZMWeM","xUOZtlo3hN","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eewbuw0ToL","zVYPLywUTj","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C"],"result":"⇑⪆3211412","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2432","layer":4},{"info":"compute unary expreesion, input=2432, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2606","layer":3},{"info":"number node, value=1189","layer":4},{"info":"number node, value=4042","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=4042, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4042","layer":3},{"info":"compute binary expreesion, left_input=-2606, right_input=4042, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=4042","layer":2},{"info":"number node, value=3363","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=3363, right_input=1110, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-31154","layer":3},{"info":"number node, value=3902","layer":4},{"info":"number node, value=5008","layer":4},{"info":"compute binary expreesion, left_input=3902, right_input=5008, 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=-31154, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-31154","layer":2},{"info":"compute binary expreesion, left_input=4042, right_input=-31154, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=26991","layer":1},{"info":"number node, value=4942","layer":4},{"info":"compute unary expreesion, input=4942, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-68592","layer":3},{"info":"compute unary expreesion, input=-68592, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=1921870","layer":2},{"info":"compute unary expreesion, input=1921870, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=26991, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=53982","layer":0}],"base":5,"result_base":5,"text":"((⊈⇑⪆34212)∊∟⩊⇑⪆14224⨔⇊⇑⪆112132⩚⊴⇥(⇑⪆101423≨⇑⪆13420+⇑⪆111102⫉⨲⊜⇑⪆130013))⨸(⇺⋃(≔(⋂⇑⪆124232)))=⇑⪆3211412","reverse_text":"⇑⪆3211412=((⊈⇑⪆34212)∊∟⩊⇑⪆14224⨔⇊⇑⪆112132⩚⊴⇥(⇑⪆101423≨⇑⪆13420+⇑⪆111102⫉⨲⊜⇑⪆130013))⨸(⇺⋃(≔(⋂⇑⪆124232)))","cot":[{"info":"⊈⇑⪆34212=⇑⪆-40411","layer":3},{"info":"⇑⪆14224⨔⇊⇑⪆112132=⇑⪆112132","layer":3},{"info":"⇑⪆-40411∊∟⩊⇑⪆112132=⇑⪆112132","layer":2},{"info":"⇑⪆101423≨⇑⪆13420=⇑⪆-1444104","layer":3},{"info":"⇑⪆111102⫉⨲⊜⇑⪆130013=⇑⪆0","layer":3},{"info":"⇑⪆-1444104+⇑⪆0=⇑⪆-1444104","layer":2},{"info":"⇑⪆112132⩚⊴⇥⇑⪆-1444104=⇑⪆1330431","layer":1},{"info":"⋂⇑⪆124232=⇑⪆-4143332","layer":3},{"info":"≔⇑⪆-4143332=⇑⪆442444440","layer":2},{"info":"⇺⋃⇑⪆442444440=NaN","layer":1},{"info":"⇑⪆1330431⨸NaN=⇑⪆3211412","layer":0}]}
{"id":984,"expression_no_base_symbol":"⇖((⪓⩚$3970$)∣($1126$∑⇟⊟$2508$)⩺⪪($3931$⨂≜$1016$⪉⨛$2026$⨔≚≋$1051$))","expression":"⇖((⪓⩚⇑⪆111340)∣(⇑⪆14001∑⇟⊟⇑⪆40013)⩺⪪(⇑⪆111211⨂≜⇑⪆13031⪉⨛⇑⪆31101⨔≚≋⇑⪆13201))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7533,"operation_count":8,"complexity_ratio":941.625,"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":3970,"base":5}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1126,"base":5},"right_expr":{"type":"numeric_atoms","value":2508,"base":5}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3931,"base":5},"right_expr":{"type":"numeric_atoms","value":1016,"base":5}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2026,"base":5},"right_expr":{"type":"numeric_atoms","value":1051,"base":5}}}}},"used_operators":["tfWHHpNKUN","uvdQJvN4PV","PPChnnnBFF","u0R0Locfp2","U7g4x0WXJJ","EWw2JM7wp4","k1SHOSEABc","Z57zeUYC9z"],"dependent_operators":["2DQ55sFlQl","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"⇑⪆1120","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3970","layer":4},{"info":"compute unary expreesion, input=3970, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=1126","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=2508, 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=426, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=426","layer":2},{"info":"number node, value=3931","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=3931, right_input=1016, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2026","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=2026, right_input=1051, 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 = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":0}],"base":5,"result_base":5,"text":"⇖((⪓⩚⇑⪆111340)∣(⇑⪆14001∑⇟⊟⇑⪆40013)⩺⪪(⇑⪆111211⨂≜⇑⪆13031⪉⨛⇑⪆31101⨔≚≋⇑⪆13201))=⇑⪆1120","reverse_text":"⇑⪆1120=⇖((⪓⩚⇑⪆111340)∣(⇑⪆14001∑⇟⊟⇑⪆40013)⩺⪪(⇑⪆111211⨂≜⇑⪆13031⪉⨛⇑⪆31101⨔≚≋⇑⪆13201))","cot":[{"info":"⪓⩚⇑⪆111340=⇑⪆3201","layer":3},{"info":"⇑⪆14001∑⇟⊟⇑⪆40013=NaN","layer":3},{"info":"⇑⪆3201∣NaN=⇑⪆3201","layer":2},{"info":"⇑⪆111211⨂≜⇑⪆13031=NaN","layer":3},{"info":"⇑⪆31101⨔≚≋⇑⪆13201=⇑⪆303442","layer":3},{"info":"NaN⪉⨛⇑⪆303442=NaN","layer":2},{"info":"⇑⪆3201⩺⪪NaN=NaN","layer":1},{"info":"⇖NaN=⇑⪆1120","layer":0}]}
{"id":985,"expression_no_base_symbol":"((↩$1805$∴$1417$)⪛⫼($1783$⫉⨲⊜$2318$)⨽∌(⫛⫱⨽$1207$))⫩⊇","expression":"((↩⇑⪆24210∴⇑⪆21132)⪛⫼(⇑⪆24113⫉⨲⊜⇑⪆33233)⨽∌(⫛⫱⨽⇑⪆14312))⫩⊇","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2371,"operation_count":7,"complexity_ratio":338.7142857142857,"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":1805,"base":5},"right_expr":{"type":"numeric_atoms","value":1417,"base":5}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1783,"base":5},"right_expr":{"type":"numeric_atoms","value":2318,"base":5}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1207,"base":5}}}}},"used_operators":["BjRHVeLaeN","hyuBjUqXlG","jLgFTUHLKL","hrf7POJlIJ","9samAPKr6k","WhqkvtTD3t","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","eewbuw0ToL","zVYPLywUTj","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1805","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=1805, right_input=1417, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5258","layer":3},{"info":"compute unary expreesion, input=5258, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-39284","layer":2},{"info":"number node, value=1783","layer":4},{"info":"number node, value=2318","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=2318, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1207","layer":4},{"info":"compute unary expreesion, input=1207, 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 = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-39284, 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 unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((↩⇑⪆24210∴⇑⪆21132)⪛⫼(⇑⪆24113⫉⨲⊜⇑⪆33233)⨽∌(⫛⫱⨽⇑⪆14312))⫩⊇=NaN","reverse_text":"NaN=((↩⇑⪆24210∴⇑⪆21132)⪛⫼(⇑⪆24113⫉⨲⊜⇑⪆33233)⨽∌(⫛⫱⨽⇑⪆14312))⫩⊇","cot":[{"info":"⇑⪆24210∴⇑⪆21132=⇑⪆132013","layer":3},{"info":"↩⇑⪆132013=⇑⪆-2224114","layer":2},{"info":"⇑⪆24113⫉⨲⊜⇑⪆33233=⇑⪆0","layer":3},{"info":"⫛⫱⨽⇑⪆14312=⇑⪆0","layer":3},{"info":"⇑⪆0⨽∌⇑⪆0=NaN","layer":2},{"info":"⇑⪆-2224114⪛⫼NaN=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":986,"expression_no_base_symbol":"(↽≂($7890$≝⊿$1792$↡⊰⫅$7717$≄⊠$2837$))⊔($8066$⫗⊷⫓$1252$⨫⇇↔(⪭⩑⪱$1151$)⊬⫿⊭)","expression":"(↽≂(⇑⪆223030≝⊿⇑⪆24132↡⊰⫅⇑⪆221332≄⊠⇑⪆42322))⊔(⇑⪆224231⫗⊷⫓⇑⪆20002⨫⇇↔(⪭⩑⪱⇑⪆14101)⊬⫿⊭)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1734760,"operation_count":9,"complexity_ratio":192751.11111111112,"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":7890,"base":5},"right_expr":{"type":"numeric_atoms","value":1792,"base":5}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":7717,"base":5},"right_expr":{"type":"numeric_atoms","value":2837,"base":5}}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":8066,"base":5},"right_expr":{"type":"numeric_atoms","value":1252,"base":5}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":1151,"base":5}}}}},"used_operators":["E4l6HwMY31","u6S6b8DprG","VCtxkLNOzz","OKKcZfAt5B","vXNesLlMH1","v0DYgG9ikt","LXhwmt4mBO","zashukvMKz","SIgE0bArFf"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","12rbrZMWeM","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"⇑⪆201121332","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=7890","layer":4},{"info":"number node, value=1792","layer":4},{"info":"compute binary expreesion, left_input=7890, right_input=1792, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-12007","layer":3},{"info":"number node, value=7717","layer":4},{"info":"number node, value=2837","layer":4},{"info":"compute binary expreesion, left_input=7717, right_input=2837, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=50060","layer":3},{"info":"compute binary expreesion, left_input=-12007, right_input=50060, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=100120","layer":2},{"info":"compute unary expreesion, input=100120, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-200240","layer":1},{"info":"number node, value=8066","layer":4},{"info":"number node, value=1252","layer":4},{"info":"compute binary expreesion, left_input=8066, right_input=1252, 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=1151","layer":4},{"info":"compute unary expreesion, input=1151, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=8320752, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=739","layer":1},{"info":"compute binary expreesion, left_input=-200240, right_input=739, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=801467","layer":0}],"base":5,"result_base":5,"text":"(↽≂(⇑⪆223030≝⊿⇑⪆24132↡⊰⫅⇑⪆221332≄⊠⇑⪆42322))⊔(⇑⪆224231⫗⊷⫓⇑⪆20002⨫⇇↔(⪭⩑⪱⇑⪆14101)⊬⫿⊭)=⇑⪆201121332","reverse_text":"⇑⪆201121332=(↽≂(⇑⪆223030≝⊿⇑⪆24132↡⊰⫅⇑⪆221332≄⊠⇑⪆42322))⊔(⇑⪆224231⫗⊷⫓⇑⪆20002⨫⇇↔(⪭⩑⪱⇑⪆14101)⊬⫿⊭)","cot":[{"info":"⇑⪆223030≝⊿⇑⪆24132=⇑⪆-341012","layer":3},{"info":"⇑⪆221332≄⊠⇑⪆42322=⇑⪆3100220","layer":3},{"info":"⇑⪆-341012↡⊰⫅⇑⪆3100220=⇑⪆11200440","layer":2},{"info":"↽≂⇑⪆11200440=⇑⪆-22401430","layer":1},{"info":"⇑⪆224231⫗⊷⫓⇑⪆20002=⇑⪆-1014","layer":3},{"info":"⪭⩑⪱⇑⪆14101=⇑⪆4112231002","layer":3},{"info":"⇑⪆-1014⨫⇇↔⇑⪆4112231002=⇑⪆-4102","layer":2},{"info":"⇑⪆-4102⊬⫿⊭=⇑⪆10424","layer":1},{"info":"⇑⪆-22401430⊔⇑⪆10424=⇑⪆201121332","layer":0}]}
{"id":987,"expression_no_base_symbol":"⨵(($5005$≓∲$4169$⪒(↣≠⋷$7775$))+⇶⊼(↥$3230$⊲⩕⊾$2590$))","expression":"⨵((⇑⪆130010≓∲⇑⪆113134⪒(↣≠⋷⇑⪆222100))+⇶⊼(↥⇑⪆100410⊲⩕⊾⇑⪆40330))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3748,"operation_count":7,"complexity_ratio":535.4285714285714,"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":5005,"base":5},"right_expr":{"type":"numeric_atoms","value":4169,"base":5}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":7775,"base":5}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3230,"base":5},"right_expr":{"type":"numeric_atoms","value":2590,"base":5}}}}},"used_operators":["Tl3Y52tvF8","TpPTUOHfaN","f6k1SAg4EE","s1XTVnmDOJ","Asc51vEJeQ","A8NUZmVepG","DmTXOeWf9t"],"dependent_operators":["gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","XhwjNDsVaA","AHs5Up7iyr","k8jYdgA6NY","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=5005","layer":4},{"info":"number node, value=4169","layer":4},{"info":"compute binary expreesion, left_input=5005, right_input=4169, 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=50833","layer":3},{"info":"number node, value=7775","layer":4},{"info":"compute unary expreesion, input=7775, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=50833, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=3230","layer":4},{"info":"number node, value=2590","layer":4},{"info":"compute binary expreesion, left_input=3230, right_input=2590, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-74210","layer":3},{"info":"compute unary expreesion, input=-74210, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=46","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=46, 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 = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"⨵((⇑⪆130010≓∲⇑⪆113134⪒(↣≠⋷⇑⪆222100))+⇶⊼(↥⇑⪆100410⊲⩕⊾⇑⪆40330))=NaN","reverse_text":"NaN=⨵((⇑⪆130010≓∲⇑⪆113134⪒(↣≠⋷⇑⪆222100))+⇶⊼(↥⇑⪆100410⊲⩕⊾⇑⪆40330))","cot":[{"info":"⇑⪆130010≓∲⇑⪆113134=⇑⪆3111313","layer":3},{"info":"↣≠⋷⇑⪆222100=NaN","layer":3},{"info":"⇑⪆3111313⪒NaN=NaN","layer":2},{"info":"⇑⪆100410⊲⩕⊾⇑⪆40330=⇑⪆-4333320","layer":3},{"info":"↥⇑⪆-4333320=⇑⪆141","layer":2},{"info":"NaN+⇶⊼⇑⪆141=NaN","layer":1},{"info":"⨵NaN=NaN","layer":0}]}
{"id":988,"expression_no_base_symbol":"⩷⨜⫀(($1014$↺$4552$≓∲$1518$⩁⩘$8539$)↳∿⪆((⊗$4688$)⩚⊴⇥($4713$⋻⩜⩜$1222$)))","expression":"⩷⨜⫀((⇑⪆13024↺⇑⪆121202≓∲⇑⪆22033⩁⩘⇑⪆233124)↳∿⪆((⊗⇑⪆122223)⩚⊴⇥(⇑⪆122323⋻⩜⩜⇑⪆14342)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19601,"operation_count":8,"complexity_ratio":2450.125,"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":1014,"base":5},"right_expr":{"type":"numeric_atoms","value":4552,"base":5}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1518,"base":5},"right_expr":{"type":"numeric_atoms","value":8539,"base":5}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":4688,"base":5}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4713,"base":5},"right_expr":{"type":"numeric_atoms","value":1222,"base":5}}}}},"used_operators":["CDi0ktkjQ4","Cw4SuJJGHO","s1XTVnmDOJ","7j4O788W3g","gub5Cegaqo","NTOWxs364D","RhiyfpczSx","oDCm7WA9JY"],"dependent_operators":["ruOEQAzv1W","nhYeJWJD5X","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⇑⪆-1014","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1014","layer":4},{"info":"number node, value=4552","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=4552, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4552","layer":3},{"info":"number node, value=1518","layer":4},{"info":"number node, value=8539","layer":4},{"info":"compute binary expreesion, left_input=1518, right_input=8539, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=35104","layer":3},{"info":"compute binary expreesion, left_input=4552, right_input=35104, 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=46303","layer":2},{"info":"number node, value=4688","layer":4},{"info":"compute unary expreesion, input=4688, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-9376","layer":3},{"info":"number node, value=4713","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=4713, right_input=1222, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=9426","layer":3},{"info":"compute binary expreesion, left_input=-9376, right_input=9426, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-171","layer":2},{"info":"compute binary expreesion, left_input=46303, right_input=-171, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-134","layer":0}],"base":5,"result_base":5,"text":"⩷⨜⫀((⇑⪆13024↺⇑⪆121202≓∲⇑⪆22033⩁⩘⇑⪆233124)↳∿⪆((⊗⇑⪆122223)⩚⊴⇥(⇑⪆122323⋻⩜⩜⇑⪆14342)))=⇑⪆-1014","reverse_text":"⇑⪆-1014=⩷⨜⫀((⇑⪆13024↺⇑⪆121202≓∲⇑⪆22033⩁⩘⇑⪆233124)↳∿⪆((⊗⇑⪆122223)⩚⊴⇥(⇑⪆122323⋻⩜⩜⇑⪆14342)))","cot":[{"info":"⇑⪆13024↺⇑⪆121202=⇑⪆121202","layer":3},{"info":"⇑⪆22033⩁⩘⇑⪆233124=⇑⪆2110404","layer":3},{"info":"⇑⪆121202≓∲⇑⪆2110404=⇑⪆2440203","layer":2},{"info":"⊗⇑⪆122223=⇑⪆-300001","layer":3},{"info":"⇑⪆122323⋻⩜⩜⇑⪆14342=⇑⪆300201","layer":3},{"info":"⇑⪆-300001⩚⊴⇥⇑⪆300201=⇑⪆-1141","layer":2},{"info":"⇑⪆2440203↳∿⪆⇑⪆-1141=NaN","layer":1},{"info":"⩷⨜⫀NaN=⇑⪆-1014","layer":0}]}
{"id":989,"expression_no_base_symbol":"($6961$⨐$1504$≥⨤⩑($6345$⋖∅⋲)⫰⋱(∓$1817$)⊱⇼⊻$6781$⊉↱≁$4190$)≒∊(($7580$⊴⇁⪶)⫢⨠$1760$∥⊢⊲$3752$)⨚(($1269$+$4674$)⊫∞)","expression":"(⇑⪆210321⨐⇑⪆22004≥⨤⩑(⇑⪆200340⋖∅⋲)⫰⋱(∓⇑⪆24232)⊱⇼⊻⇑⪆204111⊉↱≁⇑⪆113230)≒∊((⇑⪆220310⊴⇁⪶)⫢⨠⇑⪆24020∥⊢⊲⇑⪆110002)⨚((⇑⪆20034+⇑⪆122144)⊫∞)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":5410460,"operation_count":14,"complexity_ratio":386461.4285714286,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":6961,"base":5},"right_expr":{"type":"numeric_atoms","value":1504,"base":5}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":6345,"base":5}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":1817,"base":5}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":6781,"base":5},"right_expr":{"type":"numeric_atoms","value":4190,"base":5}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":7580,"base":5}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1760,"base":5},"right_expr":{"type":"numeric_atoms","value":3752,"base":5}}},"right_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1269,"base":5},"right_expr":{"type":"numeric_atoms","value":4674,"base":5}}}}},"used_operators":["5KTvxBwnZo","6o9Blt3TJ6","gJLn6v0xnP","Noe24qw2ks","L95AwlJzhO","FyVja0WsTP","OwUj7dcsQK","w2P8NbNXyL","nREPSIbpBE","xlXykHWxX1","oo9mF6JIpo","v1UQAVDJRr","pABnYW3G3E","W4YGzv6Whe"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","BjRHVeLaeN","12rbrZMWeM","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","EBcxylXtPf","rGHVDoGpnC","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6961","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=6961, right_input=1504, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-13922","layer":3},{"info":"number node, value=6345","layer":4},{"info":"compute unary expreesion, input=6345, 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=-13922, right_input=-384231, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":2},{"info":"number node, value=1817","layer":4},{"info":"compute unary expreesion, input=1817, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-32127","layer":3},{"info":"number node, value=6781","layer":4},{"info":"number node, value=4190","layer":4},{"info":"compute binary expreesion, left_input=6781, right_input=4190, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=42618","layer":3},{"info":"compute binary expreesion, left_input=-32127, right_input=42618, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=128712","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=128712, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"number node, value=7580","layer":4},{"info":"compute unary expreesion, input=7580, 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=159082","layer":3},{"info":"number node, value=1760","layer":4},{"info":"number node, value=3752","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=3752, 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=159082, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=1269","layer":4},{"info":"number node, value=4674","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=4674, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5943","layer":3},{"info":"compute unary expreesion, input=5943, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆210321⨐⇑⪆22004≥⨤⩑(⇑⪆200340⋖∅⋲)⫰⋱(∓⇑⪆24232)⊱⇼⊻⇑⪆204111⊉↱≁⇑⪆113230)≒∊((⇑⪆220310⊴⇁⪶)⫢⨠⇑⪆24020∥⊢⊲⇑⪆110002)⨚((⇑⪆20034+⇑⪆122144)⊫∞)=NaN","reverse_text":"NaN=(⇑⪆210321⨐⇑⪆22004≥⨤⩑(⇑⪆200340⋖∅⋲)⫰⋱(∓⇑⪆24232)⊱⇼⊻⇑⪆204111⊉↱≁⇑⪆113230)≒∊((⇑⪆220310⊴⇁⪶)⫢⨠⇑⪆24020∥⊢⊲⇑⪆110002)⨚((⇑⪆20034+⇑⪆122144)⊫∞)","cot":[{"info":"⇑⪆210321⨐⇑⪆22004=⇑⪆-421142","layer":3},{"info":"⇑⪆200340⋖∅⋲=⇑⪆-44243411","layer":3},{"info":"⇑⪆-421142≥⨤⩑⇑⪆-44243411=NaN","layer":2},{"info":"∓⇑⪆24232=⇑⪆-2012002","layer":3},{"info":"⇑⪆204111⊉↱≁⇑⪆113230=⇑⪆2330433","layer":3},{"info":"⇑⪆-2012002⊱⇼⊻⇑⪆2330433=⇑⪆13104322","layer":2},{"info":"NaN⫰⋱⇑⪆13104322=NaN","layer":1},{"info":"⇑⪆220310⊴⇁⪶=⇑⪆20042312","layer":3},{"info":"⇑⪆24020∥⊢⊲⇑⪆110002=NaN","layer":3},{"info":"⇑⪆20042312⫢⨠NaN=NaN","layer":2},{"info":"⇑⪆20034+⇑⪆122144=⇑⪆142233","layer":3},{"info":"⇑⪆142233⊫∞=⇑⪆0","layer":2},{"info":"NaN⨚⇑⪆0=NaN","layer":1},{"info":"NaN≒∊NaN=NaN","layer":0}]}
{"id":990,"expression_no_base_symbol":"↨(($2948$⩧⪆$1292$)↳≱($1307$⩠)⊢)","expression":"↨((⇑⪆43243⩧⪆⇑⪆20132)↳≱(⇑⪆20212⩠)⊢)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":235,"operation_count":5,"complexity_ratio":47.0,"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":2948,"base":5},"right_expr":{"type":"numeric_atoms","value":1292,"base":5}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1307,"base":5}}}}},"used_operators":["jiX4gk2v2Q","40aOVDgCDB","JwTKLfZU96","Ikt5ks8PT7","sJAwomhLZr"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","NTOWxs364D","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","eewbuw0ToL","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⇑⪆42242","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2948","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=2948, right_input=1292, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1292","layer":3},{"info":"number node, value=1307","layer":4},{"info":"compute unary expreesion, input=1307, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1292, right_input=0, 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 = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=2822","layer":0}],"base":5,"result_base":5,"text":"↨((⇑⪆43243⩧⪆⇑⪆20132)↳≱(⇑⪆20212⩠)⊢)=⇑⪆42242","reverse_text":"⇑⪆42242=↨((⇑⪆43243⩧⪆⇑⪆20132)↳≱(⇑⪆20212⩠)⊢)","cot":[{"info":"⇑⪆43243⩧⪆⇑⪆20132=⇑⪆-20132","layer":3},{"info":"⇑⪆20212⩠=⇑⪆0","layer":3},{"info":"⇑⪆-20132↳≱⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆0⊢=⇑⪆0","layer":1},{"info":"↨⇑⪆0=⇑⪆42242","layer":0}]}
{"id":991,"expression_no_base_symbol":"($2653$⊔$6626$≓∲$1543$⊔$1707$∙∹∝(⊢≑≆($1029$⪇≇⋚$1673$)))⫗⊷⫓(($6268$∘$5580$)⫗⊷⫓($2710$⪚$3733$)⫲≸⪮((⫖→$4069$)⨎($3700$∖$4912$)))","expression":"(⇑⪆41103⊔⇑⪆203001≓∲⇑⪆22133⊔⇑⪆23312∙∹∝(⊢≑≆(⇑⪆13104⪇≇⋚⇑⪆23143)))⫗⊷⫓((⇑⪆200033∘⇑⪆134310)⫗⊷⫓(⇑⪆41320⪚⇑⪆104413)⫲≸⪮((⫖→⇑⪆112234)⨎(⇑⪆104300∖⇑⪆124122)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1976905,"operation_count":14,"complexity_ratio":141207.5,"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":2653,"base":5},"right_expr":{"type":"numeric_atoms","value":6626,"base":5}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1543,"base":5},"right_expr":{"type":"numeric_atoms","value":1707,"base":5}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1029,"base":5},"right_expr":{"type":"numeric_atoms","value":1673,"base":5}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":6268,"base":5},"right_expr":{"type":"numeric_atoms","value":5580,"base":5}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2710,"base":5},"right_expr":{"type":"numeric_atoms","value":3733,"base":5}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":4069,"base":5}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3700,"base":5},"right_expr":{"type":"numeric_atoms","value":4912,"base":5}}}}},"used_operators":["zashukvMKz","HmxsFra2vL","s1XTVnmDOJ","E4l6HwMY31","27wFxooxGf","3sJ7IOPOlU","P3lXMJvFrc","Z5m6OM72h2","HrjLwUk87U","rJVOvQCfKK","U4ylXWHChL","tXD093vOjl"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"⇑⪆-1014","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2653","layer":4},{"info":"number node, value=6626","layer":4},{"info":"compute binary expreesion, left_input=2653, right_input=6626, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=36036","layer":3},{"info":"number node, value=1543","layer":4},{"info":"number node, value=1707","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=1707, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=9221","layer":3},{"info":"compute binary expreesion, left_input=36036, right_input=9221, 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=361143","layer":2},{"info":"number node, value=1029","layer":4},{"info":"number node, value=1673","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=1673, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=193","layer":2},{"info":"compute binary expreesion, left_input=361143, right_input=193, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=6268","layer":4},{"info":"number node, value=5580","layer":4},{"info":"compute binary expreesion, left_input=6268, right_input=5580, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=12536","layer":3},{"info":"number node, value=2710","layer":4},{"info":"number node, value=3733","layer":4},{"info":"compute binary expreesion, left_input=2710, right_input=3733, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-2402","layer":3},{"info":"compute binary expreesion, left_input=12536, right_input=-2402, 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=4069","layer":4},{"info":"compute unary expreesion, input=4069, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"number node, value=3700","layer":4},{"info":"number node, value=4912","layer":4},{"info":"compute binary expreesion, left_input=3700, right_input=4912, 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=177, 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=-134, right_input=0, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-134, 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":5,"result_base":5,"text":"(⇑⪆41103⊔⇑⪆203001≓∲⇑⪆22133⊔⇑⪆23312∙∹∝(⊢≑≆(⇑⪆13104⪇≇⋚⇑⪆23143)))⫗⊷⫓((⇑⪆200033∘⇑⪆134310)⫗⊷⫓(⇑⪆41320⪚⇑⪆104413)⫲≸⪮((⫖→⇑⪆112234)⨎(⇑⪆104300∖⇑⪆124122)))=⇑⪆-1014","reverse_text":"⇑⪆-1014=(⇑⪆41103⊔⇑⪆203001≓∲⇑⪆22133⊔⇑⪆23312∙∹∝(⊢≑≆(⇑⪆13104⪇≇⋚⇑⪆23143)))⫗⊷⫓((⇑⪆200033∘⇑⪆134310)⫗⊷⫓(⇑⪆41320⪚⇑⪆104413)⫲≸⪮((⫖→⇑⪆112234)⨎(⇑⪆104300∖⇑⪆124122)))","cot":[{"info":"⇑⪆41103⊔⇑⪆203001=⇑⪆2123121","layer":3},{"info":"⇑⪆22133⊔⇑⪆23312=⇑⪆243341","layer":3},{"info":"⇑⪆2123121≓∲⇑⪆243341=⇑⪆43024033","layer":2},{"info":"⇑⪆13104⪇≇⋚⇑⪆23143=⇑⪆0","layer":3},{"info":"⊢≑≆⇑⪆0=⇑⪆1233","layer":2},{"info":"⇑⪆43024033∙∹∝⇑⪆1233=⇑⪆0","layer":1},{"info":"⇑⪆200033∘⇑⪆134310=⇑⪆400121","layer":3},{"info":"⇑⪆41320⪚⇑⪆104413=⇑⪆-34102","layer":3},{"info":"⇑⪆400121⫗⊷⫓⇑⪆-34102=⇑⪆-1014","layer":2},{"info":"⫖→⇑⪆112234=⇑⪆1202","layer":3},{"info":"⇑⪆104300∖⇑⪆124122=⇑⪆0","layer":3},{"info":"⇑⪆1202⨎⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆-1014⫲≸⪮⇑⪆0=⇑⪆-1014","layer":1},{"info":"⇑⪆0⫗⊷⫓⇑⪆-1014=⇑⪆-1014","layer":0}]}
{"id":992,"expression_no_base_symbol":"(($6313$⪘⫢$2269$⊭↱(≯$1472$))⪐)≝⊰⇂","expression":"((⇑⪆200223⪘⫢⇑⪆33034⊭↱(≯⇑⪆21342))⪐)≝⊰⇂","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":38,"operation_count":5,"complexity_ratio":7.6,"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":6313,"base":5},"right_expr":{"type":"numeric_atoms","value":2269,"base":5}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1472,"base":5}}}}},"used_operators":["htSmYCowi5","eH2TOUuTDT","COABgblf1C","oacrs7FA3X","keWfFq85dY"],"dependent_operators":["9FxExcQeMw","DlLNRPXxWL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","g55IO6H4Gj","JLbD19bQDL"],"result":"⇑⪆-11201010","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=6313","layer":4},{"info":"number node, value=2269","layer":4},{"info":"compute binary expreesion, left_input=6313, right_input=2269, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12502","layer":3},{"info":"number node, value=1472","layer":4},{"info":"compute unary expreesion, input=1472, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=12502, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-24999","layer":2},{"info":"compute unary expreesion, input=-24999, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-49998","layer":1},{"info":"compute unary expreesion, input=-49998, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=-100130","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆200223⪘⫢⇑⪆33034⊭↱(≯⇑⪆21342))⪐)≝⊰⇂=⇑⪆-11201010","reverse_text":"⇑⪆-11201010=((⇑⪆200223⪘⫢⇑⪆33034⊭↱(≯⇑⪆21342))⪐)≝⊰⇂","cot":[{"info":"⇑⪆200223⪘⫢⇑⪆33034=⇑⪆400002","layer":3},{"info":"≯⇑⪆21342=⇑⪆0","layer":3},{"info":"⇑⪆400002⊭↱⇑⪆0=⇑⪆-1244444","layer":2},{"info":"⇑⪆-1244444⪐=⇑⪆-3044443","layer":1},{"info":"⇑⪆-3044443≝⊰⇂=⇑⪆-11201010","layer":0}]}
{"id":993,"expression_no_base_symbol":"(⇉-⫰$8090$+⪬∐$6863$)≒∊$3912$⫗⊷⫓$3039$≨(⇖⫷⫕$2689$)⩢≌","expression":"(⇉-⫰⇑⪆224330+⪬∐⇑⪆204423)≒∊⇑⪆111122⫗⊷⫓⇑⪆44124≨(⇖⫷⫕⇑⪆41224)⩢≌","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2363153,"operation_count":7,"complexity_ratio":337593.28571428574,"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":8090,"base":5},"right_expr":{"type":"numeric_atoms","value":6863,"base":5}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3912,"base":5},"right_expr":{"type":"numeric_atoms","value":3039,"base":5}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":2689,"base":5}}}}},"used_operators":["D617RFjZIq","5KTvxBwnZo","IGFM8TAlm9","2GS7woTJqF","0KMCeP1Jsh","zashukvMKz","UHmRx3INFg"],"dependent_operators":["hTbEZDJLEm","o20kRiQErp","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eH2TOUuTDT","eewbuw0ToL","g55IO6H4Gj","D4vGDi5EA2","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP"],"result":"⇑⪆423","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=8090","layer":4},{"info":"number node, value=6863","layer":4},{"info":"compute binary expreesion, left_input=8090, right_input=6863, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-24270","layer":3},{"info":"compute unary expreesion, input=-24270, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"number node, value=3912","layer":4},{"info":"number node, value=3039","layer":4},{"info":"compute binary expreesion, left_input=3912, right_input=3039, 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=2689","layer":4},{"info":"compute unary expreesion, input=2689, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=2822, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=170","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=170, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=464","layer":1},{"info":"compute unary expreesion, input=464, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":0}],"base":5,"result_base":5,"text":"(⇉-⫰⇑⪆224330+⪬∐⇑⪆204423)≒∊⇑⪆111122⫗⊷⫓⇑⪆44124≨(⇖⫷⫕⇑⪆41224)⩢≌=⇑⪆423","reverse_text":"⇑⪆423=(⇉-⫰⇑⪆224330+⪬∐⇑⪆204423)≒∊⇑⪆111122⫗⊷⫓⇑⪆44124≨(⇖⫷⫕⇑⪆41224)⩢≌","cot":[{"info":"⇑⪆224330+⪬∐⇑⪆204423=⇑⪆-1234040","layer":3},{"info":"⇉-⫰⇑⪆-1234040=⇑⪆40","layer":2},{"info":"⇑⪆111122⫗⊷⫓⇑⪆44124=⇑⪆-1014","layer":3},{"info":"⇖⫷⫕⇑⪆41224=⇑⪆42242","layer":3},{"info":"⇑⪆-1014≨⇑⪆42242=⇑⪆1140","layer":2},{"info":"⇑⪆40≒∊⇑⪆1140=⇑⪆3324","layer":1},{"info":"⇑⪆3324⩢≌=⇑⪆423","layer":0}]}
{"id":994,"expression_no_base_symbol":"((≀↧⇸$2793$)⨐⩸⫘$2189$≄⊠$5977$)∴(⇉-⫰(↨⩢⫨$1010$))⨳⩥⨓(⨡↴$2883$)⨚$1097$∊∟⩊$1156$⨔≚≋($8880$∛$8169$↡⊰⫅$2252$⨿$1610$)","expression":"((≀↧⇸⇑⪆42133)⨐⩸⫘⇑⪆32224≄⊠⇑⪆142402)∴(⇉-⫰(↨⩢⫨⇑⪆13020))⨳⩥⨓(⨡↴⇑⪆43013)⨚⇑⪆13342∊∟⩊⇑⪆14111⨔≚≋(⇑⪆241010∛⇑⪆230134↡⊰⫅⇑⪆33002⨿⇑⪆22420)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5015,"operation_count":14,"complexity_ratio":358.2142857142857,"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":2793,"base":5}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2189,"base":5},"right_expr":{"type":"numeric_atoms","value":5977,"base":5}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":1010,"base":5}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":2883,"base":5}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1097,"base":5},"right_expr":{"type":"numeric_atoms","value":1156,"base":5}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":8880,"base":5},"right_expr":{"type":"numeric_atoms","value":8169,"base":5}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2252,"base":5},"right_expr":{"type":"numeric_atoms","value":1610,"base":5}}}}},"used_operators":["nCS4ZIUYfx","hrf7POJlIJ","fu6greOZ01","ljTHtUsqzn","vXNesLlMH1","IGFM8TAlm9","Z5CJsN7DuW","Z57zeUYC9z","nREPSIbpBE","liw5iZPkLH","ddLRYrp01A","VCtxkLNOzz","w2537kitQq","abYXlopdE0"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","3ViojmjbAp","XPYlsWDdGa","23Mk6UjR3U","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eH2TOUuTDT","eewbuw0ToL","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","P8v4zCKN1o","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2793","layer":4},{"info":"compute unary expreesion, input=2793, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=5586","layer":3},{"info":"number node, value=2189","layer":4},{"info":"number node, value=5977","layer":4},{"info":"compute binary expreesion, left_input=2189, right_input=5977, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=100300","layer":3},{"info":"compute binary expreesion, left_input=5586, right_input=100300, 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=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, 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 = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":1},{"info":"number node, value=2883","layer":4},{"info":"compute unary expreesion, input=2883, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=3932","layer":3},{"info":"number node, value=1097","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=1156, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1156","layer":3},{"info":"compute binary expreesion, left_input=3932, right_input=1156, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=4174","layer":2},{"info":"number node, value=8880","layer":4},{"info":"number node, value=8169","layer":4},{"info":"compute binary expreesion, left_input=8880, right_input=8169, 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=2252","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=2252, right_input=1610, 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=-670, right_input=-319, 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=4174, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"((≀↧⇸⇑⪆42133)⨐⩸⫘⇑⪆32224≄⊠⇑⪆142402)∴(⇉-⫰(↨⩢⫨⇑⪆13020))⨳⩥⨓(⨡↴⇑⪆43013)⨚⇑⪆13342∊∟⩊⇑⪆14111⨔≚≋(⇑⪆241010∛⇑⪆230134↡⊰⫅⇑⪆33002⨿⇑⪆22420)=NaN","reverse_text":"NaN=((≀↧⇸⇑⪆42133)⨐⩸⫘⇑⪆32224≄⊠⇑⪆142402)∴(⇉-⫰(↨⩢⫨⇑⪆13020))⨳⩥⨓(⨡↴⇑⪆43013)⨚⇑⪆13342∊∟⩊⇑⪆14111⨔≚≋(⇑⪆241010∛⇑⪆230134↡⊰⫅⇑⪆33002⨿⇑⪆22420)","cot":[{"info":"≀↧⇸⇑⪆42133=⇑⪆134321","layer":3},{"info":"⇑⪆32224≄⊠⇑⪆142402=⇑⪆11202200","layer":3},{"info":"⇑⪆134321⨐⩸⫘⇑⪆11202200=NaN","layer":2},{"info":"↨⩢⫨⇑⪆13020=⇑⪆0","layer":3},{"info":"⇉-⫰⇑⪆0=⇑⪆40","layer":2},{"info":"NaN∴⇑⪆40=NaN","layer":1},{"info":"⨡↴⇑⪆43013=⇑⪆111212","layer":3},{"info":"⇑⪆13342∊∟⩊⇑⪆14111=⇑⪆14111","layer":3},{"info":"⇑⪆111212⨚⇑⪆14111=⇑⪆113144","layer":2},{"info":"⇑⪆241010∛⇑⪆230134=⇑⪆-10140","layer":3},{"info":"⇑⪆33002⨿⇑⪆22420=⇑⪆-2234","layer":3},{"info":"⇑⪆-10140↡⊰⫅⇑⪆-2234=NaN","layer":2},{"info":"⇑⪆113144⨔≚≋NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":995,"expression_no_base_symbol":"(($1439$⨪↰⇹$1000$⨸⪁(↡$1170$))⩌⋺($7075$⋝⋈⪟$1460$)≴⪞⇿(≅≯⇸$1342$))↓((↴⪽⋼(↥$4126$))⋣⋖(($3333$⊧↖)⨫⇇↔(⇘$8289$)))","expression":"((⇑⪆21224⨪↰⇹⇑⪆13000⨸⪁(↡⇑⪆14140))⩌⋺(⇑⪆211300⋝⋈⪟⇑⪆21320)≴⪞⇿(≅≯⇸⇑⪆20332))↓((↴⪽⋼(↥⇑⪆113001))⋣⋖((⇑⪆101313⊧↖)⨫⇇↔(⇘⇑⪆231124)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":29342,"operation_count":14,"complexity_ratio":2095.8571428571427,"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":1439,"base":5},"right_expr":{"type":"numeric_atoms","value":1000,"base":5}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1170,"base":5}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7075,"base":5},"right_expr":{"type":"numeric_atoms","value":1460,"base":5}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1342,"base":5}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4126,"base":5}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":3333,"base":5}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":8289,"base":5}}}}},"used_operators":["Af076pWI7l","g7Hmc5v1ko","g55IO6H4Gj","tmPS8pqC7x","MXaNJeIAZ3","lvlrscuwVU","2DDjHMKMc0","apS25hmuAe","J0M6qkBnIM","5TUYCnJO6w","A8NUZmVepG","LXhwmt4mBO","EKiFHuOFxO","MGuIdZPyUC"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","rJVOvQCfKK","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","EBcxylXtPf","QMFrweE19q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","k8jYdgA6NY","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X"],"result":"⇑⪆-411","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1439","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=1000, 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=1439","layer":3},{"info":"number node, value=1170","layer":4},{"info":"compute unary expreesion, input=1170, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=10530","layer":3},{"info":"compute binary expreesion, left_input=1439, right_input=10530, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=23938","layer":2},{"info":"number node, value=7075","layer":4},{"info":"number node, value=1460","layer":4},{"info":"compute binary expreesion, left_input=7075, right_input=1460, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7075","layer":3},{"info":"number node, value=1342","layer":4},{"info":"compute unary expreesion, input=1342, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=13045","layer":3},{"info":"compute binary expreesion, left_input=7075, right_input=13045, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=92534642","layer":2},{"info":"compute binary expreesion, left_input=23938, right_input=92534642, 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=-92558701","layer":1},{"info":"number node, value=4126","layer":4},{"info":"compute unary expreesion, input=4126, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=46","layer":3},{"info":"compute unary expreesion, input=46, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=46","layer":2},{"info":"number node, value=3333","layer":4},{"info":"compute unary expreesion, input=3333, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=66670460","layer":3},{"info":"number node, value=8289","layer":4},{"info":"compute unary expreesion, input=8289, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=491722","layer":3},{"info":"compute binary expreesion, left_input=66670460, right_input=491722, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=46, right_input=-527, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=46","layer":1},{"info":"compute binary expreesion, left_input=-92558701, right_input=46, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-106","layer":0}],"base":5,"result_base":5,"text":"((⇑⪆21224⨪↰⇹⇑⪆13000⨸⪁(↡⇑⪆14140))⩌⋺(⇑⪆211300⋝⋈⪟⇑⪆21320)≴⪞⇿(≅≯⇸⇑⪆20332))↓((↴⪽⋼(↥⇑⪆113001))⋣⋖((⇑⪆101313⊧↖)⨫⇇↔(⇘⇑⪆231124)))=⇑⪆-411","reverse_text":"⇑⪆-411=((⇑⪆21224⨪↰⇹⇑⪆13000⨸⪁(↡⇑⪆14140))⩌⋺(⇑⪆211300⋝⋈⪟⇑⪆21320)≴⪞⇿(≅≯⇸⇑⪆20332))↓((↴⪽⋼(↥⇑⪆113001))⋣⋖((⇑⪆101313⊧↖)⨫⇇↔(⇘⇑⪆231124)))","cot":[{"info":"⇑⪆21224⨪↰⇹⇑⪆13000=⇑⪆21224","layer":3},{"info":"↡⇑⪆14140=⇑⪆314110","layer":3},{"info":"⇑⪆21224⨸⪁⇑⪆314110=⇑⪆1231223","layer":2},{"info":"⇑⪆211300⋝⋈⪟⇑⪆21320=⇑⪆211300","layer":3},{"info":"≅≯⇸⇑⪆20332=⇑⪆404140","layer":3},{"info":"⇑⪆211300≴⪞⇿⇑⪆404140=⇑⪆142142102032","layer":2},{"info":"⇑⪆1231223⩌⋺⇑⪆142142102032=⇑⪆-142143334301","layer":1},{"info":"↥⇑⪆113001=⇑⪆141","layer":3},{"info":"↴⪽⋼⇑⪆141=⇑⪆141","layer":2},{"info":"⇑⪆101313⊧↖=⇑⪆114031423320","layer":3},{"info":"⇘⇑⪆231124=⇑⪆111213342","layer":3},{"info":"⇑⪆114031423320⨫⇇↔⇑⪆111213342=⇑⪆-4102","layer":2},{"info":"⇑⪆141⋣⋖⇑⪆-4102=⇑⪆141","layer":1},{"info":"⇑⪆-142143334301↓⇑⪆141=⇑⪆-411","layer":0}]}
{"id":996,"expression_no_base_symbol":"⨵≀≌($1205$∸)⨔⇊(⊆⋠$1205$)⨻⩈⩔(($1188$⪁$8581$)⋅⇍($4787$≓∲$1677$))","expression":"⨵≀≌(⇑⪆14310∸)⨔⇊(⊆⋠⇑⪆14310)⨻⩈⩔((⇑⪆14223⪁⇑⪆233311)⋅⇍(⇑⪆123122≓∲⇑⪆23202))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10314,"operation_count":8,"complexity_ratio":1289.25,"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":1205,"base":5}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1205,"base":5}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1188,"base":5},"right_expr":{"type":"numeric_atoms","value":8581,"base":5}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":4787,"base":5},"right_expr":{"type":"numeric_atoms","value":1677,"base":5}}}}},"used_operators":["srAu1WTS94","nEsXyWgiOK","JclMnS0uGI","o20kRiQErp","EBhcHTkKd8","AdZkA7nFnk","I7sXao9hZE","s1XTVnmDOJ"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","tmPS8pqC7x","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"⇑⪆1432101","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=1205","layer":4},{"info":"compute unary expreesion, input=1205, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1205","layer":4},{"info":"compute unary expreesion, input=1205, 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=177, 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":"number node, value=1188","layer":4},{"info":"number node, value=8581","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=8581, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=4787","layer":4},{"info":"number node, value=1677","layer":4},{"info":"compute binary expreesion, left_input=4787, right_input=1677, 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=48653","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=48653, 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=0, right_input=-22, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"compute unary expreesion, input=-174, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=30276","layer":0}],"base":5,"result_base":5,"text":"⨵≀≌(⇑⪆14310∸)⨔⇊(⊆⋠⇑⪆14310)⨻⩈⩔((⇑⪆14223⪁⇑⪆233311)⋅⇍(⇑⪆123122≓∲⇑⪆23202))=⇑⪆1432101","reverse_text":"⇑⪆1432101=⨵≀≌(⇑⪆14310∸)⨔⇊(⊆⋠⇑⪆14310)⨻⩈⩔((⇑⪆14223⪁⇑⪆233311)⋅⇍(⇑⪆123122≓∲⇑⪆23202))","cot":[{"info":"⇑⪆14310∸=⇑⪆1202","layer":3},{"info":"⊆⋠⇑⪆14310=⇑⪆0","layer":3},{"info":"⇑⪆1202⨔⇊⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆14223⪁⇑⪆233311=NaN","layer":3},{"info":"⇑⪆123122≓∲⇑⪆23202=⇑⪆3024103","layer":3},{"info":"NaN⋅⇍⇑⪆3024103=⇑⪆-42","layer":2},{"info":"⇑⪆0⨻⩈⩔⇑⪆-42=⇑⪆-1144","layer":1},{"info":"⨵≀≌⇑⪆-1144=⇑⪆1432101","layer":0}]}
{"id":997,"expression_no_base_symbol":"((∨∊⋏($4828$⩍⋽⫝̸$4858$))⩹$3943$⫗⊷⫓$3631$≁(⋃$1922$))⨑⩅≇((⪨⨬($5971$⊝⪿⪼$3581$))⪟⇏(↴⪽⋼($4708$∖$2042$)))","expression":"((∨∊⋏(⇑⪆123303⩍⋽⫝̸⇑⪆123413))⩹⇑⪆111233⫗⊷⫓⇑⪆104011≁(⋃⇑⪆30142))⨑⩅≇((⪨⨬(⇑⪆142341⊝⪿⪼⇑⪆103311))⪟⇏(↴⪽⋼(⇑⪆122313∖⇑⪆31132)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2821228,"operation_count":12,"complexity_ratio":235102.33333333334,"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":4828,"base":5},"right_expr":{"type":"numeric_atoms","value":4858,"base":5}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3943,"base":5},"right_expr":{"type":"numeric_atoms","value":3631,"base":5}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1922,"base":5}}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":5971,"base":5},"right_expr":{"type":"numeric_atoms","value":3581,"base":5}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":4708,"base":5},"right_expr":{"type":"numeric_atoms","value":2042,"base":5}}}}},"used_operators":["h92wMvzauj","2Wsdkap16l","R5aXW34M0v","BiWNJpBvwn","8N2wDY1A35","zashukvMKz","3mBM5G4a3l","GODebY97qR","5obUd6DV38","3Oe9XWJUTD","5TUYCnJO6w","tXD093vOjl"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","Ph9nP6C5qx","xUOZtlo3hN","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","g55IO6H4Gj","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","T2fj7uvVaJ","nlCqmYiOvY","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"⇑⪆-30311003","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=4828","layer":4},{"info":"number node, value=4858","layer":4},{"info":"compute binary expreesion, left_input=4828, right_input=4858, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3912","layer":3},{"info":"compute unary expreesion, input=3912, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=80687","layer":2},{"info":"number node, value=3943","layer":4},{"info":"number node, value=3631","layer":4},{"info":"compute binary expreesion, left_input=3943, right_input=3631, 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=1922","layer":4},{"info":"compute unary expreesion, input=1922, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=3946","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=3946, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=81503","layer":2},{"info":"compute binary expreesion, left_input=80687, right_input=81503, 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=81501","layer":1},{"info":"number node, value=5971","layer":4},{"info":"number node, value=3581","layer":4},{"info":"compute binary expreesion, left_input=5971, right_input=3581, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=80305","layer":3},{"info":"compute unary expreesion, input=80305, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"number node, value=4708","layer":4},{"info":"number node, value=2042","layer":4},{"info":"compute binary expreesion, left_input=4708, right_input=2042, 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 = 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=-526, 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":1},{"info":"compute binary expreesion, left_input=81501, 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=-244503","layer":0}],"base":5,"result_base":5,"text":"((∨∊⋏(⇑⪆123303⩍⋽⫝̸⇑⪆123413))⩹⇑⪆111233⫗⊷⫓⇑⪆104011≁(⋃⇑⪆30142))⨑⩅≇((⪨⨬(⇑⪆142341⊝⪿⪼⇑⪆103311))⪟⇏(↴⪽⋼(⇑⪆122313∖⇑⪆31132)))=⇑⪆-30311003","reverse_text":"⇑⪆-30311003=((∨∊⋏(⇑⪆123303⩍⋽⫝̸⇑⪆123413))⩹⇑⪆111233⫗⊷⫓⇑⪆104011≁(⋃⇑⪆30142))⨑⩅≇((⪨⨬(⇑⪆142341⊝⪿⪼⇑⪆103311))⪟⇏(↴⪽⋼(⇑⪆122313∖⇑⪆31132)))","cot":[{"info":"⇑⪆123303⩍⋽⫝̸⇑⪆123413=⇑⪆111122","layer":3},{"info":"∨∊⋏⇑⪆111122=⇑⪆10040222","layer":2},{"info":"⇑⪆111233⫗⊷⫓⇑⪆104011=⇑⪆-1014","layer":3},{"info":"⋃⇑⪆30142=⇑⪆111241","layer":3},{"info":"⇑⪆-1014≁⇑⪆111241=⇑⪆10102003","layer":2},{"info":"⇑⪆10040222⩹⇑⪆10102003=⇑⪆10102001","layer":1},{"info":"⇑⪆142341⊝⪿⪼⇑⪆103311=⇑⪆10032210","layer":3},{"info":"⪨⨬⇑⪆10032210=⇑⪆-4101","layer":2},{"info":"⇑⪆122313∖⇑⪆31132=⇑⪆0","layer":3},{"info":"↴⪽⋼⇑⪆0=⇑⪆0","layer":2},{"info":"⇑⪆-4101⪟⇏⇑⪆0=⇑⪆0","layer":1},{"info":"⇑⪆10102001⨑⩅≇⇑⪆0=⇑⪆-30311003","layer":0}]}
{"id":998,"expression_no_base_symbol":"(≘($2898$⊴$2674$⊹∫⫚$4119$↹⊜$2527$))⨽∌(↞≼(($2409$-$1186$)⊍⩺⋍$1257$⫯⪬∳$2194$))","expression":"(≘(⇑⪆43043⊴⇑⪆41144⊹∫⫚⇑⪆112434↹⊜⇑⪆40102))⨽∌(↞≼((⇑⪆34114-⇑⪆14221)⊍⩺⋍⇑⪆20012⫯⪬∳⇑⪆32234))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3330,"operation_count":9,"complexity_ratio":370.0,"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":2898,"base":5},"right_expr":{"type":"numeric_atoms","value":2674,"base":5}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":4119,"base":5},"right_expr":{"type":"numeric_atoms","value":2527,"base":5}}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2409,"base":5},"right_expr":{"type":"numeric_atoms","value":1186,"base":5}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1257,"base":5},"right_expr":{"type":"numeric_atoms","value":2194,"base":5}}}}},"used_operators":["9samAPKr6k","tcjXMdvYtA","uWAJUKEvyW","Nsiff2A1zJ","9bazX3JMtO","DE7zCoGJt9","OXDGMFPWZM","rysDP5nf3Z","d7ASUq0ydm"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2898","layer":4},{"info":"number node, value=2674","layer":4},{"info":"compute binary expreesion, left_input=2898, right_input=2674, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4119","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=4119, right_input=2527, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-1966","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1966, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-340","layer":2},{"info":"compute unary expreesion, input=-340, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=199658","layer":1},{"info":"number node, value=2409","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=2409, right_input=1186, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1223","layer":3},{"info":"number node, value=1257","layer":4},{"info":"number node, value=2194","layer":4},{"info":"compute binary expreesion, left_input=1257, right_input=2194, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=4124","layer":3},{"info":"compute binary expreesion, left_input=1223, right_input=4124, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=199658, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(≘(⇑⪆43043⊴⇑⪆41144⊹∫⫚⇑⪆112434↹⊜⇑⪆40102))⨽∌(↞≼((⇑⪆34114-⇑⪆14221)⊍⩺⋍⇑⪆20012⫯⪬∳⇑⪆32234))=NaN","reverse_text":"NaN=(≘(⇑⪆43043⊴⇑⪆41144⊹∫⫚⇑⪆112434↹⊜⇑⪆40102))⨽∌(↞≼((⇑⪆34114-⇑⪆14221)⊍⩺⋍⇑⪆20012⫯⪬∳⇑⪆32234))","cot":[{"info":"⇑⪆43043⊴⇑⪆41144=NaN","layer":3},{"info":"⇑⪆112434↹⊜⇑⪆40102=⇑⪆-30331","layer":3},{"info":"NaN⊹∫⫚⇑⪆-30331=⇑⪆-2330","layer":2},{"info":"≘⇑⪆-2330=⇑⪆22342113","layer":1},{"info":"⇑⪆34114-⇑⪆14221=⇑⪆14343","layer":3},{"info":"⇑⪆20012⫯⪬∳⇑⪆32234=⇑⪆112444","layer":3},{"info":"⇑⪆14343⊍⩺⋍⇑⪆112444=NaN","layer":2},{"info":"↞≼NaN=NaN","layer":1},{"info":"⇑⪆22342113⨽∌NaN=NaN","layer":0}]}
{"id":999,"expression_no_base_symbol":"($3580$↞⋁$1118$)↞⋁($3098$∛$6350$)⨜⨶($1444$⋥⋵⩄$1494$⨭⪣$7804$⨑⩅≇$1581$)↳∿⪆(($2027$∛$7272$)⊢($1037$⇷$5096$))⨼⩣(⨂⪏⇭$4890$)⪒⊣⊆($3519$⊎←↗)","expression":"(⇑⪆103310↞⋁⇑⪆13433)↞⋁(⇑⪆44343∛⇑⪆200400)⨜⨶(⇑⪆21234⋥⋵⩄⇑⪆21434⨭⪣⇑⪆222204⨑⩅≇⇑⪆22311)↳∿⪆((⇑⪆31102∛⇑⪆213042)⊢(⇑⪆13122⇷⇑⪆130341))⨼⩣(⨂⪏⇭⇑⪆124030)⪒⊣⊆(⇑⪆103034⊎←↗)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19368,"operation_count":15,"complexity_ratio":1291.2,"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":3580,"base":5},"right_expr":{"type":"numeric_atoms","value":1118,"base":5}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3098,"base":5},"right_expr":{"type":"numeric_atoms","value":6350,"base":5}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1444,"base":5},"right_expr":{"type":"numeric_atoms","value":1494,"base":5}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":7804,"base":5},"right_expr":{"type":"numeric_atoms","value":1581,"base":5}}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2027,"base":5},"right_expr":{"type":"numeric_atoms","value":7272,"base":5}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1037,"base":5},"right_expr":{"type":"numeric_atoms","value":5096,"base":5}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":4890,"base":5}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":3519,"base":5}}}}},"used_operators":["Cw4SuJJGHO","HiPekx5b7W","RqrPlJkxDo","w2537kitQq","kn8WO9XteQ","7t3wd0Fuz7","h92wMvzauj","JxwMv5le6e","5twsqlHp2o","mp7IySMOzn","eRqsBgTDFp","AYdpE9sXAk","dwb5p0fa6d"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","W4YGzv6Whe","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","sdazOOVcIp","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=3580","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=3580, right_input=1118, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=3098","layer":4},{"info":"number node, value=6350","layer":4},{"info":"compute binary expreesion, left_input=3098, right_input=6350, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-670, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"number node, value=1444","layer":4},{"info":"number node, value=1494","layer":4},{"info":"compute binary expreesion, left_input=1444, right_input=1494, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=7804","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=7804, right_input=1581, 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=-23412","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-23412, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-435","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-435, 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=2027","layer":4},{"info":"number node, value=7272","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=7272, 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=1037","layer":4},{"info":"number node, value=5096","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=5096, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10192","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=10192, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=1096","layer":2},{"info":"number node, value=4890","layer":4},{"info":"compute unary expreesion, input=4890, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=13691","layer":3},{"info":"number node, value=3519","layer":4},{"info":"compute unary expreesion, input=3519, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-6353","layer":3},{"info":"compute binary expreesion, left_input=13691, right_input=-6353, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=27382","layer":2},{"info":"compute binary expreesion, left_input=1096, right_input=27382, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":5,"result_base":5,"text":"(⇑⪆103310↞⋁⇑⪆13433)↞⋁(⇑⪆44343∛⇑⪆200400)⨜⨶(⇑⪆21234⋥⋵⩄⇑⪆21434⨭⪣⇑⪆222204⨑⩅≇⇑⪆22311)↳∿⪆((⇑⪆31102∛⇑⪆213042)⊢(⇑⪆13122⇷⇑⪆130341))⨼⩣(⨂⪏⇭⇑⪆124030)⪒⊣⊆(⇑⪆103034⊎←↗)=NaN","reverse_text":"NaN=(⇑⪆103310↞⋁⇑⪆13433)↞⋁(⇑⪆44343∛⇑⪆200400)⨜⨶(⇑⪆21234⋥⋵⩄⇑⪆21434⨭⪣⇑⪆222204⨑⩅≇⇑⪆22311)↳∿⪆((⇑⪆31102∛⇑⪆213042)⊢(⇑⪆13122⇷⇑⪆130341))⨼⩣(⨂⪏⇭⇑⪆124030)⪒⊣⊆(⇑⪆103034⊎←↗)","cot":[{"info":"⇑⪆103310↞⋁⇑⪆13433=NaN","layer":3},{"info":"⇑⪆44343∛⇑⪆200400=⇑⪆-10140","layer":3},{"info":"NaN↞⋁⇑⪆-10140=NaN","layer":2},{"info":"⇑⪆21234⋥⋵⩄⇑⪆21434=⇑⪆423","layer":3},{"info":"⇑⪆222204⨑⩅≇⇑⪆22311=⇑⪆-1222122","layer":3},{"info":"⇑⪆423⨭⪣⇑⪆-1222122=⇑⪆-3220","layer":2},{"info":"NaN⨜⨶⇑⪆-3220=NaN","layer":1},{"info":"⇑⪆31102∛⇑⪆213042=⇑⪆-10140","layer":3},{"info":"⇑⪆13122⇷⇑⪆130341=⇑⪆311232","layer":3},{"info":"⇑⪆-10140⊢⇑⪆311232=⇑⪆13341","layer":2},{"info":"⨂⪏⇭⇑⪆124030=⇑⪆414231","layer":3},{"info":"⇑⪆103034⊎←↗=⇑⪆-200403","layer":3},{"info":"⇑⪆414231⪒⊣⊆⇑⪆-200403=⇑⪆1334012","layer":2},{"info":"⇑⪆13341⨼⩣⇑⪆1334012=NaN","layer":1},{"info":"NaN↳∿⪆NaN=NaN","layer":0}]}
{"id":1000,"expression_no_base_symbol":"((($2798$⊓⋫)⫌⩉⩟(⇘$4755$))⫘($2122$⊱⇼⊻$1247$↱$3185$⋓$2691$))⫗⊷⫓(($1062$*$4425$)⊮⊟↴($1332$≁$9331$)≀⫉($4997$∽$6658$)⫒⫫$3646$⋣⋖$2831$)","expression":"(((⇑⪆42143⊓⋫)⫌⩉⩟(⇘⇑⪆123010))⫘(⇑⪆31442⊱⇼⊻⇑⪆14442↱⇑⪆100220⋓⇑⪆41231))⫗⊷⫓((⇑⪆13222*⇑⪆120200)⊮⊟↴(⇑⪆20312≁⇑⪆244311)≀⫉(⇑⪆124442∽⇑⪆203113)⫒⫫⇑⪆104041⋣⋖⇑⪆42311)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3628001,"operation_count":15,"complexity_ratio":241866.73333333334,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":2798,"base":5}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":4755,"base":5}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2122,"base":5},"right_expr":{"type":"numeric_atoms","value":1247,"base":5}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3185,"base":5},"right_expr":{"type":"numeric_atoms","value":2691,"base":5}}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1062,"base":5},"right_expr":{"type":"numeric_atoms","value":4425,"base":5}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1332,"base":5},"right_expr":{"type":"numeric_atoms","value":9331,"base":5}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":4997,"base":5},"right_expr":{"type":"numeric_atoms","value":6658,"base":5}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3646,"base":5},"right_expr":{"type":"numeric_atoms","value":2831,"base":5}}}}},"used_operators":["zashukvMKz","48vC8HMD2b","XIIwhv8d0m","IqGBaFP0uj","MGuIdZPyUC","SR5kFfdi6N","FyVja0WsTP","T2fj7uvVaJ","oZj3VtZNQx","QDVgd2eftb","9HNa5Wba9A","8N2wDY1A35","6Ko8hGgeMq","y4ImoPnbV5","J0M6qkBnIM"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","NTOWxs364D","QMFrweE19q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⇑⪆-1014","longer_result_info":{"target_base":5,"flag":true},"cot_info":[{"info":"number node, value=2798","layer":4},{"info":"compute unary expreesion, input=2798, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-2926","layer":3},{"info":"number node, value=4755","layer":4},{"info":"compute unary expreesion, input=4755, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=279682","layer":3},{"info":"compute binary expreesion, left_input=-2926, right_input=279682, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=2122","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=2122, right_input=1247, 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=3185","layer":4},{"info":"number node, value=2691","layer":4},{"info":"compute binary expreesion, left_input=3185, right_input=2691, 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=434, 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=-50, right_input=15670, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=210237","layer":1},{"info":"number node, value=1062","layer":4},{"info":"number node, value=4425","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=4425, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4699350","layer":3},{"info":"number node, value=1332","layer":4},{"info":"number node, value=9331","layer":4},{"info":"compute binary expreesion, left_input=1332, right_input=9331, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=210743","layer":3},{"info":"compute binary expreesion, left_input=4699350, right_input=210743, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"number node, value=4997","layer":4},{"info":"number node, value=6658","layer":4},{"info":"compute binary expreesion, left_input=4997, right_input=6658, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-44781","layer":3},{"info":"number node, value=3646","layer":4},{"info":"number node, value=2831","layer":4},{"info":"compute binary expreesion, left_input=3646, right_input=2831, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3646","layer":3},{"info":"compute binary expreesion, left_input=-44781, right_input=3646, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=216649","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=216649, 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=210237, 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":0}],"base":5,"result_base":5,"text":"(((⇑⪆42143⊓⋫)⫌⩉⩟(⇘⇑⪆123010))⫘(⇑⪆31442⊱⇼⊻⇑⪆14442↱⇑⪆100220⋓⇑⪆41231))⫗⊷⫓((⇑⪆13222*⇑⪆120200)⊮⊟↴(⇑⪆20312≁⇑⪆244311)≀⫉(⇑⪆124442∽⇑⪆203113)⫒⫫⇑⪆104041⋣⋖⇑⪆42311)=⇑⪆-1014","reverse_text":"⇑⪆-1014=(((⇑⪆42143⊓⋫)⫌⩉⩟(⇘⇑⪆123010))⫘(⇑⪆31442⊱⇼⊻⇑⪆14442↱⇑⪆100220⋓⇑⪆41231))⫗⊷⫓((⇑⪆13222*⇑⪆120200)⊮⊟↴(⇑⪆20312≁⇑⪆244311)≀⫉(⇑⪆124442∽⇑⪆203113)⫒⫫⇑⪆104041⋣⋖⇑⪆42311)","cot":[{"info":"⇑⪆42143⊓⋫=⇑⪆-43201","layer":3},{"info":"⇘⇑⪆123010=⇑⪆32422212","layer":3},{"info":"⇑⪆-43201⫌⩉⩟⇑⪆32422212=⇑⪆-200","layer":2},{"info":"⇑⪆31442⊱⇼⊻⇑⪆14442=⇑⪆3214","layer":3},{"info":"⇑⪆100220⋓⇑⪆41231=⇑⪆0","layer":3},{"info":"⇑⪆3214↱⇑⪆0=⇑⪆1000140","layer":2},{"info":"⇑⪆-200⫘⇑⪆1000140=⇑⪆23211422","layer":1},{"info":"⇑⪆13222*⇑⪆120200=⇑⪆2200334400","layer":3},{"info":"⇑⪆20312≁⇑⪆244311=⇑⪆23220433","layer":3},{"info":"⇑⪆2200334400⊮⊟↴⇑⪆23220433=⇑⪆0","layer":2},{"info":"⇑⪆124442∽⇑⪆203113=⇑⪆-2413111","layer":3},{"info":"⇑⪆104041⋣⋖⇑⪆42311=⇑⪆104041","layer":3},{"info":"⇑⪆-2413111⫒⫫⇑⪆104041=⇑⪆23413044","layer":2},{"info":"⇑⪆0≀⫉⇑⪆23413044=⇑⪆42242","layer":1},{"info":"⇑⪆23211422⫗⊷⫓⇑⪆42242=⇑⪆-1014","layer":0}]}