diff --git "a/expression/combination_100_value1000-10000/base12_depth2.jsonl" "b/expression/combination_100_value1000-10000/base12_depth2.jsonl"
new file mode 100644--- /dev/null
+++ "b/expression/combination_100_value1000-10000/base12_depth2.jsonl"
@@ -0,0 +1,1000 @@
+{"id":1,"expression_no_base_symbol":"(⪝⪂⫅$1495$)∑⇟⊟(⪲⇎$4723$)","expression":"(⪝⪂⫅⫖↰⪸A47)∑⇟⊟(⪲⇎⫖↰⪸2897)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":153,"operation_count":3,"complexity_ratio":51.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1495,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4723,"base":12}}},"used_operators":["U7g4x0WXJJ","XTarYq4gQB","XPYlsWDdGa"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1495","layer":2},{"info":"compute unary expreesion, input=1495, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-219765","layer":1},{"info":"number node, value=4723","layer":2},{"info":"compute unary expreesion, input=4723, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9446","layer":1},{"info":"compute binary expreesion, left_input=-219765, right_input=9446, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⪝⪂⫅⫖↰⪸A47)∑⇟⊟(⪲⇎⫖↰⪸2897)=NaN","reverse_text":"NaN=(⪝⪂⫅⫖↰⪸A47)∑⇟⊟(⪲⇎⫖↰⪸2897)","cot":[{"info":"⪝⪂⫅⫖↰⪸A47=⫖↰⪸-A7219","layer":1},{"info":"⪲⇎⫖↰⪸2897=⫖↰⪸5572","layer":1},{"info":"⫖↰⪸-A7219∑⇟⊟⫖↰⪸5572=NaN","layer":0}]}
+{"id":2,"expression_no_base_symbol":"≦∁$1831$⋳⪒$5419$","expression":"≦∁⫖↰⪸1087⋳⪒⫖↰⪸3177","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":39,"operation_count":2,"complexity_ratio":19.5,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1831,"base":12},"right_expr":{"type":"numeric_atoms","value":5419,"base":12}}},"used_operators":["9ICcGScMcE","12rbrZMWeM"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1831","layer":2},{"info":"number node, value=5419","layer":2},{"info":"compute binary expreesion, left_input=1831, right_input=5419, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2044","layer":1},{"info":"compute unary expreesion, input=-2044, 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":12,"result_base":12,"text":"≦∁⫖↰⪸1087⋳⪒⫖↰⪸3177=⫖↰⪸57","reverse_text":"⫖↰⪸57=≦∁⫖↰⪸1087⋳⪒⫖↰⪸3177","cot":[{"info":"⫖↰⪸1087⋳⪒⫖↰⪸3177=⫖↰⪸-1224","layer":1},{"info":"≦∁⫖↰⪸-1224=⫖↰⪸57","layer":0}]}
+{"id":3,"expression_no_base_symbol":"($1219$%$2400$)⨰$3216$⪮%⊝$2809$","expression":"(⫖↰⪸857%⫖↰⪸1480)⨰⫖↰⪸1A40⪮%⊝⫖↰⪸1761","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1219,"base":12},"right_expr":{"type":"numeric_atoms","value":2400,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3216,"base":12},"right_expr":{"type":"numeric_atoms","value":2809,"base":12}}},"used_operators":["eewbuw0ToL","k8jYdgA6NY","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸-323B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1219","layer":2},{"info":"number node, value=2400","layer":2},{"info":"compute binary expreesion, left_input=1219, right_input=2400, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1219","layer":1},{"info":"number node, value=3216","layer":2},{"info":"number node, value=2809","layer":2},{"info":"compute binary expreesion, left_input=3216, right_input=2809, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6748","layer":1},{"info":"compute binary expreesion, left_input=1219, right_input=6748, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5519","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸857%⫖↰⪸1480)⨰⫖↰⪸1A40⪮%⊝⫖↰⪸1761=⫖↰⪸-323B","reverse_text":"⫖↰⪸-323B=(⫖↰⪸857%⫖↰⪸1480)⨰⫖↰⪸1A40⪮%⊝⫖↰⪸1761","cot":[{"info":"⫖↰⪸857%⫖↰⪸1480=⫖↰⪸857","layer":1},{"info":"⫖↰⪸1A40⪮%⊝⫖↰⪸1761=⫖↰⪸3AA4","layer":1},{"info":"⫖↰⪸857⨰⫖↰⪸3AA4=⫖↰⪸-323B","layer":0}]}
+{"id":4,"expression_no_base_symbol":"($2904$⨽$2440$)⋥≓≎$4656$⨐⩸⫘$3946$","expression":"(⫖↰⪸1820⨽⫖↰⪸14B4)⋥≓≎⫖↰⪸2840⨐⩸⫘⫖↰⪸234A","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":2916,"operation_count":3,"complexity_ratio":972.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2904,"base":12},"right_expr":{"type":"numeric_atoms","value":2440,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4656,"base":12},"right_expr":{"type":"numeric_atoms","value":3946,"base":12}}},"used_operators":["Qy55tPpLXF","8HhzD0ZcuI","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","3ViojmjbAp"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2904","layer":2},{"info":"number node, value=2440","layer":2},{"info":"compute binary expreesion, left_input=2904, right_input=2440, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-25305654","layer":1},{"info":"number node, value=4656","layer":2},{"info":"number node, value=3946","layer":2},{"info":"compute binary expreesion, left_input=4656, right_input=3946, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-25305654, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1820⨽⫖↰⪸14B4)⋥≓≎⫖↰⪸2840⨐⩸⫘⫖↰⪸234A=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⫖↰⪸1820⨽⫖↰⪸14B4)⋥≓≎⫖↰⪸2840⨐⩸⫘⫖↰⪸234A","cot":[{"info":"⫖↰⪸1820⨽⫖↰⪸14B4=⫖↰⪸-8584586","layer":1},{"info":"⫖↰⪸2840⨐⩸⫘⫖↰⪸234A=NaN","layer":1},{"info":"⫖↰⪸-8584586⋥≓≎NaN=⫖↰⪸57","layer":0}]}
+{"id":5,"expression_no_base_symbol":"($1915$⨵⪆$6496$)∸","expression":"(⫖↰⪸1137⨵⪆⫖↰⪸3914)∸","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":178,"operation_count":2,"complexity_ratio":89.0,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1915,"base":12},"right_expr":{"type":"numeric_atoms","value":6496,"base":12}}},"used_operators":["o20kRiQErp","2DQ55sFlQl"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸129","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1915","layer":2},{"info":"number node, value=6496","layer":2},{"info":"compute binary expreesion, left_input=1915, right_input=6496, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1137⨵⪆⫖↰⪸3914)∸=⫖↰⪸129","reverse_text":"⫖↰⪸129=(⫖↰⪸1137⨵⪆⫖↰⪸3914)∸","cot":[{"info":"⫖↰⪸1137⨵⪆⫖↰⪸3914=⫖↰⪸114","layer":1},{"info":"⫖↰⪸114∸=⫖↰⪸129","layer":0}]}
+{"id":6,"expression_no_base_symbol":"($1152$⇋≉)∧","expression":"(⫖↰⪸800⇋≉)∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1152,"base":12}}},"used_operators":["z63VuFQld9","XIabStNQrY"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1152","layer":2},{"info":"compute unary expreesion, input=1152, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2206","layer":1},{"info":"compute unary expreesion, input=2206, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸800⇋≉)∧=NaN","reverse_text":"NaN=(⫖↰⪸800⇋≉)∧","cot":[{"info":"⫖↰⪸800⇋≉=⫖↰⪸133A","layer":1},{"info":"⫖↰⪸133A∧=NaN","layer":0}]}
+{"id":7,"expression_no_base_symbol":"⫓⪴(↽≂$4204$)","expression":"⫓⪴(↽≂⫖↰⪸2524)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8411,"operation_count":2,"complexity_ratio":4205.5,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4204,"base":12}}},"used_operators":["eLxqMNBOBk","u6S6b8DprG"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸1B813194","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4204","layer":2},{"info":"compute unary expreesion, input=4204, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8408","layer":1},{"info":"compute unary expreesion, input=-8408, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=70694464","layer":0}],"base":12,"result_base":12,"text":"⫓⪴(↽≂⫖↰⪸2524)=⫖↰⪸1B813194","reverse_text":"⫖↰⪸1B813194=⫓⪴(↽≂⫖↰⪸2524)","cot":[{"info":"↽≂⫖↰⪸2524=⫖↰⪸-4A48","layer":1},{"info":"⫓⪴⫖↰⪸-4A48=⫖↰⪸1B813194","layer":0}]}
+{"id":8,"expression_no_base_symbol":"($2073$⨎$1090$)⪘⫢($1352$≧⫂∧$1248$)","expression":"(⫖↰⪸1249⨎⫖↰⪸76A)⪘⫢(⫖↰⪸948≧⫂∧⫖↰⪸880)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17,"operation_count":3,"complexity_ratio":5.666666666666667,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2073,"base":12},"right_expr":{"type":"numeric_atoms","value":1090,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1352,"base":12},"right_expr":{"type":"numeric_atoms","value":1248,"base":12}}},"used_operators":["oacrs7FA3X","rJVOvQCfKK","Ph9nP6C5qx"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸1234","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2073","layer":2},{"info":"number node, value=1090","layer":2},{"info":"compute binary expreesion, left_input=2073, right_input=1090, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1090","layer":1},{"info":"number node, value=1352","layer":2},{"info":"number node, value=1248","layer":2},{"info":"compute binary expreesion, left_input=1352, right_input=1248, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=775","layer":1},{"info":"compute binary expreesion, left_input=1090, right_input=775, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2056","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1249⨎⫖↰⪸76A)⪘⫢(⫖↰⪸948≧⫂∧⫖↰⪸880)=⫖↰⪸1234","reverse_text":"⫖↰⪸1234=(⫖↰⪸1249⨎⫖↰⪸76A)⪘⫢(⫖↰⪸948≧⫂∧⫖↰⪸880)","cot":[{"info":"⫖↰⪸1249⨎⫖↰⪸76A=⫖↰⪸76A","layer":1},{"info":"⫖↰⪸948≧⫂∧⫖↰⪸880=⫖↰⪸547","layer":1},{"info":"⫖↰⪸76A⪘⫢⫖↰⪸547=⫖↰⪸1234","layer":0}]}
+{"id":9,"expression_no_base_symbol":"↥$1254$⋓$8318$","expression":"↥⫖↰⪸886⋓⫖↰⪸4992","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":2,"complexity_ratio":7.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1254,"base":12},"right_expr":{"type":"numeric_atoms","value":8318,"base":12}}},"used_operators":["A8NUZmVepG","T2fj7uvVaJ"],"dependent_operators":["k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1254","layer":2},{"info":"number node, value=8318","layer":2},{"info":"compute binary expreesion, left_input=1254, right_input=8318, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":0}],"base":12,"result_base":12,"text":"↥⫖↰⪸886⋓⫖↰⪸4992=⫖↰⪸0","reverse_text":"⫖↰⪸0=↥⫖↰⪸886⋓⫖↰⪸4992","cot":[{"info":"⫖↰⪸886⋓⫖↰⪸4992=⫖↰⪸0","layer":1},{"info":"↥⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":10,"expression_no_base_symbol":"↔($5672$⊉≛↸$3569$)","expression":"↔(⫖↰⪸3348⊉≛↸⫖↰⪸2095)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5672,"base":12},"right_expr":{"type":"numeric_atoms","value":3569,"base":12}}},"used_operators":["ruOEQAzv1W","DZ8iAZOCBD"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-64A7","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5672","layer":2},{"info":"number node, value=3569","layer":2},{"info":"compute binary expreesion, left_input=5672, right_input=3569, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11344","layer":1},{"info":"compute unary expreesion, input=11344, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-11071","layer":0}],"base":12,"result_base":12,"text":"↔(⫖↰⪸3348⊉≛↸⫖↰⪸2095)=⫖↰⪸-64A7","reverse_text":"⫖↰⪸-64A7=↔(⫖↰⪸3348⊉≛↸⫖↰⪸2095)","cot":[{"info":"⫖↰⪸3348⊉≛↸⫖↰⪸2095=⫖↰⪸6694","layer":1},{"info":"↔⫖↰⪸6694=⫖↰⪸-64A7","layer":0}]}
+{"id":11,"expression_no_base_symbol":"$9439$⊭↱$3643$+(≦∁$2411$)","expression":"⫖↰⪸5567⊭↱⫖↰⪸2137+(≦∁⫖↰⪸148B)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":9439,"base":12},"right_expr":{"type":"numeric_atoms","value":3643,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2411,"base":12}}},"used_operators":["W4YGzv6Whe","COABgblf1C","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫖↰⪸-5388","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=9439","layer":2},{"info":"number node, value=3643","layer":2},{"info":"compute binary expreesion, left_input=9439, right_input=3643, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-11587","layer":1},{"info":"number node, value=2411","layer":2},{"info":"compute unary expreesion, input=2411, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2411","layer":1},{"info":"compute binary expreesion, left_input=-11587, right_input=2411, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-9176","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸5567⊭↱⫖↰⪸2137+(≦∁⫖↰⪸148B)=⫖↰⪸-5388","reverse_text":"⫖↰⪸-5388=⫖↰⪸5567⊭↱⫖↰⪸2137+(≦∁⫖↰⪸148B)","cot":[{"info":"⫖↰⪸5567⊭↱⫖↰⪸2137=⫖↰⪸-6857","layer":1},{"info":"≦∁⫖↰⪸148B=⫖↰⪸148B","layer":1},{"info":"⫖↰⪸-6857+⫖↰⪸148B=⫖↰⪸-5388","layer":0}]}
+{"id":12,"expression_no_base_symbol":"($7458$⋥≓≎$2217$)⨐⩸⫘$1890$⨎$2100$","expression":"(⫖↰⪸4396⋥≓≎⫖↰⪸1349)⨐⩸⫘⫖↰⪸1116⨎⫖↰⪸1270","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7458,"base":12},"right_expr":{"type":"numeric_atoms","value":2217,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1890,"base":12},"right_expr":{"type":"numeric_atoms","value":2100,"base":12}}},"used_operators":["fu6greOZ01","Qy55tPpLXF","rJVOvQCfKK"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7458","layer":2},{"info":"number node, value=2217","layer":2},{"info":"compute binary expreesion, left_input=7458, right_input=2217, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2991","layer":1},{"info":"number node, value=1890","layer":2},{"info":"number node, value=2100","layer":2},{"info":"compute binary expreesion, left_input=1890, right_input=2100, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2100","layer":1},{"info":"compute binary expreesion, left_input=-2991, right_input=2100, 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":12,"result_base":12,"text":"(⫖↰⪸4396⋥≓≎⫖↰⪸1349)⨐⩸⫘⫖↰⪸1116⨎⫖↰⪸1270=NaN","reverse_text":"NaN=(⫖↰⪸4396⋥≓≎⫖↰⪸1349)⨐⩸⫘⫖↰⪸1116⨎⫖↰⪸1270","cot":[{"info":"⫖↰⪸4396⋥≓≎⫖↰⪸1349=⫖↰⪸-1893","layer":1},{"info":"⫖↰⪸1116⨎⫖↰⪸1270=⫖↰⪸1270","layer":1},{"info":"⫖↰⪸-1893⨐⩸⫘⫖↰⪸1270=NaN","layer":0}]}
+{"id":13,"expression_no_base_symbol":"($1466$⨟⋌⩍$3033$)≹⇙⪍($3654$≎⊠⪸$7622$)","expression":"(⫖↰⪸A22⨟⋌⩍⫖↰⪸1909)≹⇙⪍(⫖↰⪸2146≎⊠⪸⫖↰⪸44B2)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":272,"operation_count":3,"complexity_ratio":90.66666666666667,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1466,"base":12},"right_expr":{"type":"numeric_atoms","value":3033,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3654,"base":12},"right_expr":{"type":"numeric_atoms","value":7622,"base":12}}},"used_operators":["AHs5Up7iyr","rGHVDoGpnC","bJkvcejdHO"],"dependent_operators":["dWAJyo7jo9","Tcnh7f0tEr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1466","layer":2},{"info":"number node, value=3033","layer":2},{"info":"compute binary expreesion, left_input=1466, right_input=3033, 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=3654","layer":2},{"info":"number node, value=7622","layer":2},{"info":"compute binary expreesion, left_input=3654, right_input=7622, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=945913","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=945913, 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":12,"result_base":12,"text":"(⫖↰⪸A22⨟⋌⩍⫖↰⪸1909)≹⇙⪍(⫖↰⪸2146≎⊠⪸⫖↰⪸44B2)=NaN","reverse_text":"NaN=(⫖↰⪸A22⨟⋌⩍⫖↰⪸1909)≹⇙⪍(⫖↰⪸2146≎⊠⪸⫖↰⪸44B2)","cot":[{"info":"⫖↰⪸A22⨟⋌⩍⫖↰⪸1909=NaN","layer":1},{"info":"⫖↰⪸2146≎⊠⪸⫖↰⪸44B2=⫖↰⪸3974A1","layer":1},{"info":"NaN≹⇙⪍⫖↰⪸3974A1=NaN","layer":0}]}
+{"id":14,"expression_no_base_symbol":"$3552$⩷∴$1598$⨎(⩦⩻⨪$1942$)","expression":"⫖↰⪸2080⩷∴⫖↰⪸B12⨎(⩦⩻⨪⫖↰⪸115A)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3552,"base":12},"right_expr":{"type":"numeric_atoms","value":1598,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1942,"base":12}}},"used_operators":["rJVOvQCfKK","9FxExcQeMw","2td37pGCOC"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸115A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3552","layer":2},{"info":"number node, value=1598","layer":2},{"info":"compute binary expreesion, left_input=3552, right_input=1598, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3876","layer":1},{"info":"number node, value=1942","layer":2},{"info":"compute unary expreesion, input=1942, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1942","layer":1},{"info":"compute binary expreesion, left_input=3876, right_input=1942, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1942","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2080⩷∴⫖↰⪸B12⨎(⩦⩻⨪⫖↰⪸115A)=⫖↰⪸115A","reverse_text":"⫖↰⪸115A=⫖↰⪸2080⩷∴⫖↰⪸B12⨎(⩦⩻⨪⫖↰⪸115A)","cot":[{"info":"⫖↰⪸2080⩷∴⫖↰⪸B12=⫖↰⪸22B0","layer":1},{"info":"⩦⩻⨪⫖↰⪸115A=⫖↰⪸115A","layer":1},{"info":"⫖↰⪸22B0⨎⫖↰⪸115A=⫖↰⪸115A","layer":0}]}
+{"id":15,"expression_no_base_symbol":"$2030$≹⇙⪍$3121$↬($6294$↺$1487$)","expression":"⫖↰⪸1212≹⇙⪍⫖↰⪸1981↬(⫖↰⪸3786↺⫖↰⪸A3B)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2030,"base":12},"right_expr":{"type":"numeric_atoms","value":3121,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6294,"base":12},"right_expr":{"type":"numeric_atoms","value":1487,"base":12}}},"used_operators":["B5M0gjZbta","AHs5Up7iyr","7j4O788W3g"],"dependent_operators":["rGHVDoGpnC","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2030","layer":2},{"info":"number node, value=3121","layer":2},{"info":"compute binary expreesion, left_input=2030, right_input=3121, 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=6294","layer":2},{"info":"number node, value=1487","layer":2},{"info":"compute binary expreesion, left_input=6294, right_input=1487, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1487","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1487, 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":12,"result_base":12,"text":"⫖↰⪸1212≹⇙⪍⫖↰⪸1981↬(⫖↰⪸3786↺⫖↰⪸A3B)=NaN","reverse_text":"NaN=⫖↰⪸1212≹⇙⪍⫖↰⪸1981↬(⫖↰⪸3786↺⫖↰⪸A3B)","cot":[{"info":"⫖↰⪸1212≹⇙⪍⫖↰⪸1981=NaN","layer":1},{"info":"⫖↰⪸3786↺⫖↰⪸A3B=⫖↰⪸A3B","layer":1},{"info":"NaN↬⫖↰⪸A3B=NaN","layer":0}]}
+{"id":16,"expression_no_base_symbol":"($1759$⫡⨏$1241$)*($4758$+$4859$)","expression":"(⫖↰⪸1027⫡⨏⫖↰⪸875)*(⫖↰⪸2906+⫖↰⪸298B)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9625,"operation_count":3,"complexity_ratio":3208.3333333333335,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1759,"base":12},"right_expr":{"type":"numeric_atoms","value":1241,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4758,"base":12},"right_expr":{"type":"numeric_atoms","value":4859,"base":12}}},"used_operators":["9HNa5Wba9A","QMFrweE19q","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸32A12790","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1759","layer":2},{"info":"number node, value=1241","layer":2},{"info":"compute binary expreesion, left_input=1759, right_input=1241, 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=12060","layer":1},{"info":"number node, value=4758","layer":2},{"info":"number node, value=4859","layer":2},{"info":"compute binary expreesion, left_input=4758, right_input=4859, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9617","layer":1},{"info":"compute binary expreesion, left_input=12060, right_input=9617, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=115981020","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1027⫡⨏⫖↰⪸875)*(⫖↰⪸2906+⫖↰⪸298B)=⫖↰⪸32A12790","reverse_text":"⫖↰⪸32A12790=(⫖↰⪸1027⫡⨏⫖↰⪸875)*(⫖↰⪸2906+⫖↰⪸298B)","cot":[{"info":"⫖↰⪸1027⫡⨏⫖↰⪸875=⫖↰⪸6B90","layer":1},{"info":"⫖↰⪸2906+⫖↰⪸298B=⫖↰⪸5695","layer":1},{"info":"⫖↰⪸6B90*⫖↰⪸5695=⫖↰⪸32A12790","layer":0}]}
+{"id":17,"expression_no_base_symbol":"(⨵≀≌$4766$)/(↽≂$4350$)","expression":"(⨵≀≌⫖↰⪸2912)/(↽≂⫖↰⪸2626)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4766,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4350,"base":12}}},"used_operators":["XhwjNDsVaA","srAu1WTS94","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸1","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4766","layer":2},{"info":"compute unary expreesion, input=4766, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-14298","layer":1},{"info":"number node, value=4350","layer":2},{"info":"compute unary expreesion, input=4350, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8700","layer":1},{"info":"compute binary expreesion, left_input=-14298, right_input=-8700, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":0}],"base":12,"result_base":12,"text":"(⨵≀≌⫖↰⪸2912)/(↽≂⫖↰⪸2626)=⫖↰⪸1","reverse_text":"⫖↰⪸1=(⨵≀≌⫖↰⪸2912)/(↽≂⫖↰⪸2626)","cot":[{"info":"⨵≀≌⫖↰⪸2912=⫖↰⪸-8336","layer":1},{"info":"↽≂⫖↰⪸2626=⫖↰⪸-5050","layer":1},{"info":"⫖↰⪸-8336/⫖↰⪸-5050=⫖↰⪸1","layer":0}]}
+{"id":18,"expression_no_base_symbol":"∥⊫(≉$2713$)","expression":"∥⊫(≉⫖↰⪸16A1)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2713,"base":12}}},"used_operators":["P8v4zCKN1o","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸2468","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2713","layer":2},{"info":"compute unary expreesion, input=2713, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3244","layer":1},{"info":"compute unary expreesion, input=3244, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4112","layer":0}],"base":12,"result_base":12,"text":"∥⊫(≉⫖↰⪸16A1)=⫖↰⪸2468","reverse_text":"⫖↰⪸2468=∥⊫(≉⫖↰⪸16A1)","cot":[{"info":"≉⫖↰⪸16A1=⫖↰⪸1A64","layer":1},{"info":"∥⊫⫖↰⪸1A64=⫖↰⪸2468","layer":0}]}
+{"id":19,"expression_no_base_symbol":"(⋗⩬⋾$1466$)⨽($2790$⪄$1874$)","expression":"(⋗⩬⋾⫖↰⪸A22)⨽(⫖↰⪸1746⪄⫖↰⪸1102)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4505,"operation_count":3,"complexity_ratio":1501.6666666666667,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1466,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2790,"base":12},"right_expr":{"type":"numeric_atoms","value":1874,"base":12}}},"used_operators":["8HhzD0ZcuI","DpFCA1CohY","SUmda5xLS4"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫖↰⪸-17020853","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1466","layer":2},{"info":"compute unary expreesion, input=1466, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4398","layer":1},{"info":"number node, value=2790","layer":2},{"info":"number node, value=1874","layer":2},{"info":"compute binary expreesion, left_input=2790, right_input=1874, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-416505","layer":1},{"info":"compute binary expreesion, left_input=-4398, right_input=-416505, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-56776383","layer":0}],"base":12,"result_base":12,"text":"(⋗⩬⋾⫖↰⪸A22)⨽(⫖↰⪸1746⪄⫖↰⪸1102)=⫖↰⪸-17020853","reverse_text":"⫖↰⪸-17020853=(⋗⩬⋾⫖↰⪸A22)⨽(⫖↰⪸1746⪄⫖↰⪸1102)","cot":[{"info":"⋗⩬⋾⫖↰⪸A22=⫖↰⪸-2666","layer":1},{"info":"⫖↰⪸1746⪄⫖↰⪸1102=⫖↰⪸-181049","layer":1},{"info":"⫖↰⪸-2666⨽⫖↰⪸-181049=⫖↰⪸-17020853","layer":0}]}
+{"id":20,"expression_no_base_symbol":"$5696$≹⇙⪍$2183$⨸⪁($7186$⇼⇔∾$1001$)","expression":"⫖↰⪸3368≹⇙⪍⫖↰⪸131B⨸⪁(⫖↰⪸41AA⇼⇔∾⫖↰⪸6B5)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5696,"base":12},"right_expr":{"type":"numeric_atoms","value":2183,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7186,"base":12},"right_expr":{"type":"numeric_atoms","value":1001,"base":12}}},"used_operators":["g55IO6H4Gj","AHs5Up7iyr","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5696","layer":2},{"info":"number node, value=2183","layer":2},{"info":"compute binary expreesion, left_input=5696, right_input=2183, 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=7186","layer":2},{"info":"number node, value=1001","layer":2},{"info":"compute binary expreesion, left_input=7186, right_input=1001, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6185","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6185, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3368≹⇙⪍⫖↰⪸131B⨸⪁(⫖↰⪸41AA⇼⇔∾⫖↰⪸6B5)=NaN","reverse_text":"NaN=⫖↰⪸3368≹⇙⪍⫖↰⪸131B⨸⪁(⫖↰⪸41AA⇼⇔∾⫖↰⪸6B5)","cot":[{"info":"⫖↰⪸3368≹⇙⪍⫖↰⪸131B=NaN","layer":1},{"info":"⫖↰⪸41AA⇼⇔∾⫖↰⪸6B5=⫖↰⪸-36B5","layer":1},{"info":"NaN⨸⪁⫖↰⪸-36B5=NaN","layer":0}]}
+{"id":21,"expression_no_base_symbol":"$1086$⊉≛↸$1749$⩨$7048$≭$2329$","expression":"⫖↰⪸766⊉≛↸⫖↰⪸1019⩨⫖↰⪸40B4≭⫖↰⪸1421","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1086,"base":12},"right_expr":{"type":"numeric_atoms","value":1749,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7048,"base":12},"right_expr":{"type":"numeric_atoms","value":2329,"base":12}}},"used_operators":["2DlMacCsIx","DZ8iAZOCBD","rxpJgHHUmx"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1086","layer":2},{"info":"number node, value=1749","layer":2},{"info":"compute binary expreesion, left_input=1086, right_input=1749, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2172","layer":1},{"info":"number node, value=7048","layer":2},{"info":"number node, value=2329","layer":2},{"info":"compute binary expreesion, left_input=7048, right_input=2329, 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=2172, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸766⊉≛↸⫖↰⪸1019⩨⫖↰⪸40B4≭⫖↰⪸1421=NaN","reverse_text":"NaN=⫖↰⪸766⊉≛↸⫖↰⪸1019⩨⫖↰⪸40B4≭⫖↰⪸1421","cot":[{"info":"⫖↰⪸766⊉≛↸⫖↰⪸1019=⫖↰⪸1310","layer":1},{"info":"⫖↰⪸40B4≭⫖↰⪸1421=NaN","layer":1},{"info":"⫖↰⪸1310⩨NaN=NaN","layer":0}]}
+{"id":22,"expression_no_base_symbol":"$1140$⨓$1971$⨵⪆(⪲⇎$3132$)","expression":"⫖↰⪸7B0⨓⫖↰⪸1183⨵⪆(⪲⇎⫖↰⪸1990)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1980,"operation_count":3,"complexity_ratio":660.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1140,"base":12},"right_expr":{"type":"numeric_atoms","value":1971,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3132,"base":12}}},"used_operators":["2DQ55sFlQl","3ViojmjbAp","XPYlsWDdGa"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1140","layer":2},{"info":"number node, value=1971","layer":2},{"info":"compute binary expreesion, left_input=1140, right_input=1971, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1974","layer":1},{"info":"number node, value=3132","layer":2},{"info":"compute unary expreesion, input=3132, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6264","layer":1},{"info":"compute binary expreesion, left_input=-1974, right_input=6264, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸7B0⨓⫖↰⪸1183⨵⪆(⪲⇎⫖↰⪸1990)=⫖↰⪸114","reverse_text":"⫖↰⪸114=⫖↰⪸7B0⨓⫖↰⪸1183⨵⪆(⪲⇎⫖↰⪸1990)","cot":[{"info":"⫖↰⪸7B0⨓⫖↰⪸1183=⫖↰⪸-1186","layer":1},{"info":"⪲⇎⫖↰⪸1990=⫖↰⪸3760","layer":1},{"info":"⫖↰⪸-1186⨵⪆⫖↰⪸3760=⫖↰⪸114","layer":0}]}
+{"id":23,"expression_no_base_symbol":"($3392$%$1100$)⊉≛↸$4693$↙$1501$","expression":"(⫖↰⪸1B68%⫖↰⪸778)⊉≛↸⫖↰⪸2871↙⫖↰⪸A51","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1509,"operation_count":3,"complexity_ratio":503.0,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3392,"base":12},"right_expr":{"type":"numeric_atoms","value":1100,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4693,"base":12},"right_expr":{"type":"numeric_atoms","value":1501,"base":12}}},"used_operators":["DZ8iAZOCBD","k8jYdgA6NY","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY"],"result":"⫖↰⪸134","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3392","layer":2},{"info":"number node, value=1100","layer":2},{"info":"compute binary expreesion, left_input=3392, right_input=1100, op_id = k8jYdgA6NY binary_op_definition= 'None', output=92","layer":1},{"info":"number node, value=4693","layer":2},{"info":"number node, value=1501","layer":2},{"info":"compute binary expreesion, left_input=4693, right_input=1501, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4503","layer":1},{"info":"compute binary expreesion, left_input=92, right_input=-4503, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=184","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1B68%⫖↰⪸778)⊉≛↸⫖↰⪸2871↙⫖↰⪸A51=⫖↰⪸134","reverse_text":"⫖↰⪸134=(⫖↰⪸1B68%⫖↰⪸778)⊉≛↸⫖↰⪸2871↙⫖↰⪸A51","cot":[{"info":"⫖↰⪸1B68%⫖↰⪸778=⫖↰⪸78","layer":1},{"info":"⫖↰⪸2871↙⫖↰⪸A51=⫖↰⪸-2733","layer":1},{"info":"⫖↰⪸78⊉≛↸⫖↰⪸-2733=⫖↰⪸134","layer":0}]}
+{"id":24,"expression_no_base_symbol":"$2330$⩷∴$2837$⊭↱($2199$⋷$6302$)","expression":"⫖↰⪸1422⩷∴⫖↰⪸1785⊭↱(⫖↰⪸1333⋷⫖↰⪸3792)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2330,"base":12},"right_expr":{"type":"numeric_atoms","value":2837,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2199,"base":12},"right_expr":{"type":"numeric_atoms","value":6302,"base":12}}},"used_operators":["COABgblf1C","9FxExcQeMw","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸1130B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2330","layer":2},{"info":"number node, value=2837","layer":2},{"info":"compute binary expreesion, left_input=2330, right_input=2837, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1046","layer":1},{"info":"number node, value=2199","layer":2},{"info":"number node, value=6302","layer":2},{"info":"compute binary expreesion, left_input=2199, right_input=6302, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10405","layer":1},{"info":"compute binary expreesion, left_input=-1046, right_input=10405, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=22907","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1422⩷∴⫖↰⪸1785⊭↱(⫖↰⪸1333⋷⫖↰⪸3792)=⫖↰⪸1130B","reverse_text":"⫖↰⪸1130B=⫖↰⪸1422⩷∴⫖↰⪸1785⊭↱(⫖↰⪸1333⋷⫖↰⪸3792)","cot":[{"info":"⫖↰⪸1422⩷∴⫖↰⪸1785=⫖↰⪸-732","layer":1},{"info":"⫖↰⪸1333⋷⫖↰⪸3792=⫖↰⪸6031","layer":1},{"info":"⫖↰⪸-732⊭↱⫖↰⪸6031=⫖↰⪸1130B","layer":0}]}
+{"id":25,"expression_no_base_symbol":"($1175$⪐)∑⇟⊟($1309$⫸⊐$2407$)","expression":"(⫖↰⪸81B⪐)∑⇟⊟(⫖↰⪸911⫸⊐⫖↰⪸1487)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1175,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1309,"base":12},"right_expr":{"type":"numeric_atoms","value":2407,"base":12}}},"used_operators":["U7g4x0WXJJ","eH2TOUuTDT","mqXw5SEYmG"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1175","layer":2},{"info":"compute unary expreesion, input=1175, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2350","layer":1},{"info":"number node, value=1309","layer":2},{"info":"number node, value=2407","layer":2},{"info":"compute binary expreesion, left_input=1309, right_input=2407, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9503","layer":1},{"info":"compute binary expreesion, left_input=2350, right_input=9503, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸81B⪐)∑⇟⊟(⫖↰⪸911⫸⊐⫖↰⪸1487)=NaN","reverse_text":"NaN=(⫖↰⪸81B⪐)∑⇟⊟(⫖↰⪸911⫸⊐⫖↰⪸1487)","cot":[{"info":"⫖↰⪸81B⪐=⫖↰⪸143A","layer":1},{"info":"⫖↰⪸911⫸⊐⫖↰⪸1487=⫖↰⪸55BB","layer":1},{"info":"⫖↰⪸143A∑⇟⊟⫖↰⪸55BB=NaN","layer":0}]}
+{"id":26,"expression_no_base_symbol":"+⊝⨔($2144$⇼⇔∾$1060$)","expression":"+⊝⨔(⫖↰⪸12A8⇼⇔∾⫖↰⪸744)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":22,"operation_count":2,"complexity_ratio":11.0,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2144,"base":12},"right_expr":{"type":"numeric_atoms","value":1060,"base":12}}},"used_operators":["DhbWaqg5eL","tifHPKVTfV"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2144","layer":2},{"info":"number node, value=1060","layer":2},{"info":"compute binary expreesion, left_input=2144, right_input=1060, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1084","layer":1},{"info":"compute unary expreesion, input=-1084, 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":12,"result_base":12,"text":"+⊝⨔(⫖↰⪸12A8⇼⇔∾⫖↰⪸744)=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔(⫖↰⪸12A8⇼⇔∾⫖↰⪸744)","cot":[{"info":"⫖↰⪸12A8⇼⇔∾⫖↰⪸744=⫖↰⪸-764","layer":1},{"info":"+⊝⨔⫖↰⪸-764=⫖↰⪸A6A","layer":0}]}
+{"id":27,"expression_no_base_symbol":"($2416$⪢$1026$)⪢($3834$⫡⨏$1032$)","expression":"(⫖↰⪸1494⪢⫖↰⪸716)⪢(⫖↰⪸2276⫡⨏⫖↰⪸720)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23239,"operation_count":3,"complexity_ratio":7746.333333333333,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2416,"base":12},"right_expr":{"type":"numeric_atoms","value":1026,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3834,"base":12},"right_expr":{"type":"numeric_atoms","value":1032,"base":12}}},"used_operators":["dWAJyo7jo9","QMFrweE19q"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2416","layer":2},{"info":"number node, value=1026","layer":2},{"info":"compute binary expreesion, left_input=2416, right_input=1026, 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=3834","layer":2},{"info":"number node, value=1032","layer":2},{"info":"compute binary expreesion, left_input=3834, right_input=1032, 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=22017","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=22017, 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":12,"result_base":12,"text":"(⫖↰⪸1494⪢⫖↰⪸716)���(⫖↰⪸2276⫡⨏⫖↰⪸720)=NaN","reverse_text":"NaN=(⫖↰⪸1494⪢⫖↰⪸716)⪢(⫖↰⪸2276⫡⨏⫖↰⪸720)","cot":[{"info":"⫖↰⪸1494⪢⫖↰⪸716=NaN","layer":1},{"info":"⫖↰⪸2276⫡⨏⫖↰⪸720=⫖↰⪸108A9","layer":1},{"info":"NaN⪢⫖↰⪸108A9=NaN","layer":0}]}
+{"id":28,"expression_no_base_symbol":"$4155$≧⫂∧$5850$⩚⊴⇥($3969$↪⪝)","expression":"⫖↰⪸24A3≧⫂∧⫖↰⪸3476⩚⊴⇥(⫖↰⪸2369↪⪝)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":704,"operation_count":3,"complexity_ratio":234.66666666666666,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4155,"base":12},"right_expr":{"type":"numeric_atoms","value":5850,"base":12}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3969,"base":12}}},"used_operators":["NTOWxs364D","Ph9nP6C5qx","l07mrZUIn9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"⫖↰⪸-693AA708","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4155","layer":2},{"info":"number node, value=5850","layer":2},{"info":"compute binary expreesion, left_input=4155, right_input=5850, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5377","layer":1},{"info":"number node, value=3969","layer":2},{"info":"compute unary expreesion, input=3969, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=242831358","layer":1},{"info":"compute binary expreesion, left_input=5377, right_input=242831358, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-242836856","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸24A3≧⫂∧⫖↰⪸3476⩚⊴⇥(⫖↰⪸2369↪⪝)=⫖↰⪸-693AA708","reverse_text":"⫖↰⪸-693AA708=⫖↰⪸24A3≧⫂∧⫖↰⪸3476⩚⊴⇥(⫖↰⪸2369↪⪝)","cot":[{"info":"⫖↰⪸24A3≧⫂∧⫖↰⪸3476=⫖↰⪸3141","layer":1},{"info":"⫖↰⪸2369↪⪝=⫖↰⪸693A74A6","layer":1},{"info":"⫖↰⪸3141⩚⊴⇥⫖↰⪸693A74A6=⫖↰⪸-693AA708","layer":0}]}
+{"id":29,"expression_no_base_symbol":"(⋗⩬⋾$2271$)*($4012$⪨≂$4729$)","expression":"(⋗⩬⋾⫖↰⪸1393)*(⫖↰⪸23A4⪨≂⫖↰⪸28A1)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1340,"operation_count":3,"complexity_ratio":446.6666666666667,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2271,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4012,"base":12},"right_expr":{"type":"numeric_atoms","value":4729,"base":12}}},"used_operators":["9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸3057830","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2271","layer":2},{"info":"compute unary expreesion, input=2271, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6813","layer":1},{"info":"number node, value=4012","layer":2},{"info":"number node, value=4729","layer":2},{"info":"compute binary expreesion, left_input=4012, right_input=4729, 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=-1332","layer":1},{"info":"compute binary expreesion, left_input=-6813, right_input=-1332, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9074916","layer":0}],"base":12,"result_base":12,"text":"(⋗⩬⋾⫖↰⪸1393)*(⫖↰⪸23A4⪨≂⫖↰⪸28A1)=⫖↰⪸3057830","reverse_text":"⫖↰⪸3057830=(⋗⩬⋾⫖↰⪸1393)*(⫖↰⪸23A4⪨≂⫖↰⪸28A1)","cot":[{"info":"⋗⩬⋾⫖↰⪸1393=⫖↰⪸-3B39","layer":1},{"info":"⫖↰⪸23A4⪨≂⫖↰⪸28A1=⫖↰⪸-930","layer":1},{"info":"⫖↰⪸-3B39*⫖↰⪸-930=⫖↰⪸3057830","layer":0}]}
+{"id":30,"expression_no_base_symbol":"⫓⪴($3474$⩤)","expression":"⫓⪴(⫖↰⪸2016⩤)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3475,"operation_count":2,"complexity_ratio":1737.5,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3474,"base":12}}},"used_operators":["eLxqMNBOBk","Z2TMIBDE3Q"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸4060230","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3474","layer":2},{"info":"compute unary expreesion, input=3474, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3474","layer":1},{"info":"compute unary expreesion, input=-3474, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=12068676","layer":0}],"base":12,"result_base":12,"text":"⫓⪴(⫖↰⪸2016⩤)=⫖↰⪸4060230","reverse_text":"⫖↰⪸4060230=⫓⪴(⫖↰⪸2016⩤)","cot":[{"info":"⫖↰⪸2016⩤=⫖↰⪸-2016","layer":1},{"info":"⫓⪴⫖↰⪸-2016=⫖↰⪸4060230","layer":0}]}
+{"id":31,"expression_no_base_symbol":"($1092$⊭∹↮)⫌⩹⨱","expression":"(⫖↰⪸770⊭∹↮)⫌⩹⨱","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13,"operation_count":2,"complexity_ratio":6.5,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1092,"base":12}}},"used_operators":["EBcxylXtPf","xNBdhnnwKq"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸3409","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1092","layer":2},{"info":"compute unary expreesion, input=1092, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2184","layer":1},{"info":"compute unary expreesion, input=2184, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5769","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸770⊭∹↮)⫌⩹⨱=⫖↰⪸3409","reverse_text":"⫖↰⪸3409=(⫖↰⪸770⊭∹↮)⫌⩹⨱","cot":[{"info":"⫖↰⪸770⊭∹↮=⫖↰⪸1320","layer":1},{"info":"⫖↰⪸1320⫌⩹⨱=⫖↰⪸3409","layer":0}]}
+{"id":32,"expression_no_base_symbol":"($1203$≧⫂∧$5286$)⪢($2547$↙$1764$)","expression":"(⫖↰⪸843≧⫂∧⫖↰⪸3086)⪢(⫖↰⪸1583↙⫖↰⪸1030)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14776,"operation_count":3,"complexity_ratio":4925.333333333333,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1203,"base":12},"right_expr":{"type":"numeric_atoms","value":5286,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2547,"base":12},"right_expr":{"type":"numeric_atoms","value":1764,"base":12}}},"used_operators":["dWAJyo7jo9","Ph9nP6C5qx","yyfyN0ffXY"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1203","layer":2},{"info":"number node, value=5286","layer":2},{"info":"compute binary expreesion, left_input=1203, right_input=5286, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4813","layer":1},{"info":"number node, value=2547","layer":2},{"info":"number node, value=1764","layer":2},{"info":"compute binary expreesion, left_input=2547, right_input=1764, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5292","layer":1},{"info":"compute binary expreesion, left_input=4813, right_input=-5292, 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":12,"result_base":12,"text":"(⫖↰⪸843≧⫂∧⫖↰⪸3086)⪢(⫖↰⪸1583↙⫖↰⪸1030)=NaN","reverse_text":"NaN=(⫖↰⪸843≧⫂∧⫖↰⪸3086)⪢(⫖↰⪸1583↙⫖↰⪸1030)","cot":[{"info":"⫖↰⪸843≧⫂∧⫖↰⪸3086=⫖↰⪸2951","layer":1},{"info":"⫖↰⪸1583↙⫖↰⪸1030=⫖↰⪸-3090","layer":1},{"info":"⫖↰⪸2951⪢⫖↰⪸-3090=NaN","layer":0}]}
+{"id":33,"expression_no_base_symbol":"$7460$⋝⋈⪟$1390$+$3148$⨽$1119$","expression":"⫖↰⪸4398⋝⋈⪟⫖↰⪸97A+⫖↰⪸19A4⨽⫖↰⪸793","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3161,"operation_count":3,"complexity_ratio":1053.6666666666667,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7460,"base":12},"right_expr":{"type":"numeric_atoms","value":1390,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3148,"base":12},"right_expr":{"type":"numeric_atoms","value":1119,"base":12}}},"used_operators":["W4YGzv6Whe","2DDjHMKMc0","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫖↰⪸-9B55687","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7460","layer":2},{"info":"number node, value=1390","layer":2},{"info":"compute binary expreesion, left_input=7460, right_input=1390, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7460","layer":1},{"info":"number node, value=3148","layer":2},{"info":"number node, value=1119","layer":2},{"info":"compute binary expreesion, left_input=3148, right_input=1119, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-29731755","layer":1},{"info":"compute binary expreesion, left_input=7460, right_input=-29731755, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-29724295","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸4398⋝⋈⪟⫖↰⪸97A+⫖↰⪸19A4⨽⫖↰⪸793=⫖↰⪸-9B55687","reverse_text":"⫖↰⪸-9B55687=⫖↰⪸4398⋝⋈⪟⫖↰⪸97A+⫖↰⪸19A4⨽⫖↰⪸793","cot":[{"info":"⫖↰⪸4398⋝⋈⪟⫖↰⪸97A=⫖↰⪸4398","layer":1},{"info":"⫖↰⪸19A4⨽⫖↰⪸793=⫖↰⪸-9B59A63","layer":1},{"info":"⫖↰⪸4398+⫖↰⪸-9B59A63=⫖↰⪸-9B55687","layer":0}]}
+{"id":34,"expression_no_base_symbol":"($1207$⋫)⋳⪒($2149$⫥∨⫟$1231$)","expression":"(⫖↰⪸847⋫)⋳⪒(⫖↰⪸12B1⫥∨⫟⫖↰⪸867)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1368,"operation_count":3,"complexity_ratio":456.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1207,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2149,"base":12},"right_expr":{"type":"numeric_atoms","value":1231,"base":12}}},"used_operators":["12rbrZMWeM","JL8yIekQnl","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1207","layer":2},{"info":"compute unary expreesion, input=1207, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1207","layer":1},{"info":"number node, value=2149","layer":2},{"info":"number node, value=1231","layer":2},{"info":"compute binary expreesion, left_input=2149, right_input=1231, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1207, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸847⋫)⋳⪒(⫖↰⪸12B1⫥∨⫟⫖↰⪸867)=NaN","reverse_text":"NaN=(⫖↰⪸847⋫)⋳⪒(⫖↰⪸12B1⫥∨⫟⫖↰⪸867)","cot":[{"info":"⫖↰⪸847⋫=⫖↰⪸847","layer":1},{"info":"⫖↰⪸12B1⫥∨⫟⫖↰⪸867=NaN","layer":1},{"info":"⫖↰⪸847⋳⪒NaN=NaN","layer":0}]}
+{"id":35,"expression_no_base_symbol":"($6030$/$1523$)⩨$4060$∑⇟⊟$1182$","expression":"(⫖↰⪸35A6/⫖↰⪸A6B)⩨⫖↰⪸2424∑⇟⊟⫖↰⪸826","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6030,"base":12},"right_expr":{"type":"numeric_atoms","value":1523,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4060,"base":12},"right_expr":{"type":"numeric_atoms","value":1182,"base":12}}},"used_operators":["2DlMacCsIx","XhwjNDsVaA","U7g4x0WXJJ"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6030","layer":2},{"info":"number node, value=1523","layer":2},{"info":"compute binary expreesion, left_input=6030, right_input=1523, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":1},{"info":"number node, value=4060","layer":2},{"info":"number node, value=1182","layer":2},{"info":"compute binary expreesion, left_input=4060, right_input=1182, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸35A6/⫖↰⪸A6B)⩨⫖↰⪸2424∑⇟⊟⫖↰⪸826=NaN","reverse_text":"NaN=(⫖↰⪸35A6/⫖↰⪸A6B)⩨⫖↰⪸2424∑⇟⊟⫖↰⪸826","cot":[{"info":"⫖↰⪸35A6/⫖↰⪸A6B=⫖↰⪸3","layer":1},{"info":"⫖↰⪸2424∑⇟⊟⫖↰⪸826=NaN","layer":1},{"info":"⫖↰⪸3⩨NaN=NaN","layer":0}]}
+{"id":36,"expression_no_base_symbol":"≤/$4786$↬$2803$","expression":"≤/⫖↰⪸292A↬⫖↰⪸1757","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4786,"base":12},"right_expr":{"type":"numeric_atoms","value":2803,"base":12}}},"used_operators":["eLAdDNolq6","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4786","layer":2},{"info":"number node, value=2803","layer":2},{"info":"compute binary expreesion, left_input=4786, right_input=2803, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≤/⫖↰⪸292A↬⫖↰⪸1757=NaN","reverse_text":"NaN=≤/⫖↰⪸292A↬⫖↰⪸1757","cot":[{"info":"⫖↰⪸292A↬⫖↰⪸1757=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
+{"id":37,"expression_no_base_symbol":"($6438$⩨$1031$)↺$2016$≎⊠⪸$7770$","expression":"(⫖↰⪸3886⩨⫖↰⪸71B)↺⫖↰⪸1200≎⊠⪸⫖↰⪸45B6","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":276,"operation_count":3,"complexity_ratio":92.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6438,"base":12},"right_expr":{"type":"numeric_atoms","value":1031,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2016,"base":12},"right_expr":{"type":"numeric_atoms","value":7770,"base":12}}},"used_operators":["7j4O788W3g","2DlMacCsIx","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫖↰⪸211A87","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6438","layer":2},{"info":"number node, value=1031","layer":2},{"info":"compute binary expreesion, left_input=6438, right_input=1031, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=2016","layer":2},{"info":"number node, value=7770","layer":2},{"info":"compute binary expreesion, left_input=2016, right_input=7770, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=521671","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=521671, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=521671","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3886⩨⫖↰⪸71B)↺⫖↰⪸1200≎⊠⪸⫖↰⪸45B6=⫖↰⪸211A87","reverse_text":"⫖↰⪸211A87=(⫖↰⪸3886⩨⫖↰⪸71B)↺⫖↰⪸1200≎⊠⪸⫖↰⪸45B6","cot":[{"info":"⫖↰⪸3886⩨⫖↰⪸71B=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1200≎⊠⪸⫖↰⪸45B6=⫖↰⪸211A87","layer":1},{"info":"⫖↰⪸0↺⫖↰⪸211A87=⫖↰⪸211A87","layer":0}]}
+{"id":38,"expression_no_base_symbol":"(↯⪼$1401$)⇼⇔∾($8210$/$3301$)","expression":"(↯⪼⫖↰⪸989)⇼⇔∾(⫖↰⪸4902/⫖↰⪸1AB1)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1401,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":8210,"base":12},"right_expr":{"type":"numeric_atoms","value":3301,"base":12}}},"used_operators":["tifHPKVTfV","8jW3W4yZS5","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z"],"result":"⫖↰⪸1B","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1401","layer":2},{"info":"compute unary expreesion, input=1401, 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=8210","layer":2},{"info":"number node, value=3301","layer":2},{"info":"compute binary expreesion, left_input=8210, right_input=3301, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=2, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=23","layer":0}],"base":12,"result_base":12,"text":"(↯⪼⫖↰⪸989)⇼⇔∾(⫖↰⪸4902/⫖↰⪸1AB1)=⫖↰⪸1B","reverse_text":"⫖↰⪸1B=(↯⪼⫖↰⪸989)⇼⇔∾(⫖↰⪸4902/⫖↰⪸1AB1)","cot":[{"info":"↯⪼⫖↰⪸989=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸4902/⫖↰⪸1AB1=⫖↰⪸2","layer":1},{"info":"⫖↰⪸-19⇼⇔∾⫖↰⪸2=⫖↰⪸1B","layer":0}]}
+{"id":39,"expression_no_base_symbol":"$2897$⋳⪒$1273$⪐","expression":"⫖↰⪸1815⋳⪒⫖↰⪸8A1⪐","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2897,"base":12},"right_expr":{"type":"numeric_atoms","value":1273,"base":12}}},"used_operators":["eH2TOUuTDT","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸4A98","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2897","layer":2},{"info":"number node, value=1273","layer":2},{"info":"compute binary expreesion, left_input=2897, right_input=1273, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4234","layer":1},{"info":"compute unary expreesion, input=4234, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8468","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1815⋳⪒⫖↰⪸8A1⪐=⫖↰⪸4A98","reverse_text":"⫖↰⪸4A98=⫖↰⪸1815⋳⪒⫖↰⪸8A1⪐","cot":[{"info":"⫖↰⪸1815⋳⪒⫖↰⪸8A1=⫖↰⪸254A","layer":1},{"info":"⫖↰⪸254A⪐=⫖↰⪸4A98","layer":0}]}
+{"id":40,"expression_no_base_symbol":"$3087$⨐⩸⫘$1730$⨳⩥⨓($4386$/$2637$)","expression":"⫖↰⪸1953⨐⩸⫘⫖↰⪸1002⨳⩥⨓(⫖↰⪸2656/⫖↰⪸1639)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3087,"base":12},"right_expr":{"type":"numeric_atoms","value":1730,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4386,"base":12},"right_expr":{"type":"numeric_atoms","value":2637,"base":12}}},"used_operators":["nCS4ZIUYfx","fu6greOZ01","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3087","layer":2},{"info":"number node, value=1730","layer":2},{"info":"compute binary expreesion, left_input=3087, right_input=1730, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4386","layer":2},{"info":"number node, value=2637","layer":2},{"info":"compute binary expreesion, left_input=4386, right_input=2637, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1953⨐⩸⫘⫖↰⪸1002⨳⩥⨓(⫖↰⪸2656/⫖↰⪸1639)=NaN","reverse_text":"NaN=⫖↰⪸1953⨐⩸⫘⫖↰⪸1002⨳⩥⨓(⫖↰⪸2656/⫖↰⪸1639)","cot":[{"info":"⫖↰⪸1953⨐⩸⫘⫖↰⪸1002=NaN","layer":1},{"info":"⫖↰⪸2656/⫖↰⪸1639=⫖↰⪸1","layer":1},{"info":"NaN⨳⩥⨓⫖↰⪸1=NaN","layer":0}]}
+{"id":41,"expression_no_base_symbol":"($3033$⫸⊐$1877$)⨰($4141$≧⫂∧$1480$)","expression":"(⫖↰⪸1909⫸⊐⫖↰⪸1105)⨰(⫖↰⪸2491≧⫂∧⫖↰⪸A34)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":31,"operation_count":3,"complexity_ratio":10.333333333333334,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3033,"base":12},"right_expr":{"type":"numeric_atoms","value":1877,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4141,"base":12},"right_expr":{"type":"numeric_atoms","value":1480,"base":12}}},"used_operators":["eewbuw0ToL","mqXw5SEYmG","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸3842","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3033","layer":2},{"info":"number node, value=1877","layer":2},{"info":"compute binary expreesion, left_input=3033, right_input=1877, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7383","layer":1},{"info":"number node, value=4141","layer":2},{"info":"number node, value=1480","layer":2},{"info":"compute binary expreesion, left_input=4141, right_input=1480, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1007","layer":1},{"info":"compute binary expreesion, left_input=7383, right_input=1007, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6386","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1909⫸⊐⫖↰⪸1105)⨰(⫖↰⪸2491≧⫂∧⫖↰⪸A34)=⫖↰⪸3842","reverse_text":"⫖↰⪸3842=(⫖↰⪸1909⫸⊐⫖↰⪸1105)⨰(⫖↰⪸2491≧⫂∧⫖↰⪸A34)","cot":[{"info":"⫖↰⪸1909⫸⊐⫖↰⪸1105=⫖↰⪸4333","layer":1},{"info":"⫖↰⪸2491≧⫂∧⫖↰⪸A34=⫖↰⪸6BB","layer":1},{"info":"⫖↰⪸4333⨰⫖↰⪸6BB=⫖↰⪸3842","layer":0}]}
+{"id":42,"expression_no_base_symbol":"($2711$⨳⩥⨓$6861$)+⇶⊼($1065$⨳⩥⨓$2022$)","expression":"(⫖↰⪸169B⨳⩥⨓⫖↰⪸3B79)+⇶⊼(⫖↰⪸749⨳⩥⨓⫖↰⪸1206)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2711,"base":12},"right_expr":{"type":"numeric_atoms","value":6861,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1065,"base":12},"right_expr":{"type":"numeric_atoms","value":2022,"base":12}}},"used_operators":["TpPTUOHfaN","nCS4ZIUYfx"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2711","layer":2},{"info":"number node, value=6861","layer":2},{"info":"compute binary expreesion, left_input=2711, right_input=6861, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4150","layer":1},{"info":"number node, value=1065","layer":2},{"info":"number node, value=2022","layer":2},{"info":"compute binary expreesion, left_input=1065, right_input=2022, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=957","layer":1},{"info":"compute binary expreesion, left_input=4150, right_input=957, 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":12,"result_base":12,"text":"(⫖↰⪸169B⨳⩥⨓⫖↰⪸3B79)+⇶⊼(⫖↰⪸749⨳⩥⨓⫖↰⪸1206)=NaN","reverse_text":"NaN=(⫖↰⪸169B⨳⩥⨓⫖↰⪸3B79)+⇶⊼(⫖↰⪸749⨳⩥⨓⫖↰⪸1206)","cot":[{"info":"⫖↰⪸169B⨳⩥⨓⫖↰⪸3B79=⫖↰⪸249A","layer":1},{"info":"⫖↰⪸749⨳⩥⨓⫖↰⪸1206=⫖↰⪸679","layer":1},{"info":"⫖↰⪸249A+⇶⊼⫖↰⪸679=NaN","layer":0}]}
+{"id":43,"expression_no_base_symbol":"($1005$⋷$1737$)⊴($5364$⨰$1173$)","expression":"(⫖↰⪸6B9⋷⫖↰⪸1009)⊴(⫖↰⪸3130⨰⫖↰⪸819)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4216,"operation_count":3,"complexity_ratio":1405.3333333333333,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1005,"base":12},"right_expr":{"type":"numeric_atoms","value":1737,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5364,"base":12},"right_expr":{"type":"numeric_atoms","value":1173,"base":12}}},"used_operators":["Nsiff2A1zJ","23Mk6UjR3U","eewbuw0ToL"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1005","layer":2},{"info":"number node, value=1737","layer":2},{"info":"compute binary expreesion, left_input=1005, right_input=1737, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2469","layer":1},{"info":"number node, value=5364","layer":2},{"info":"number node, value=1173","layer":2},{"info":"compute binary expreesion, left_input=5364, right_input=1173, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4201","layer":1},{"info":"compute binary expreesion, left_input=2469, right_input=4201, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸6B9⋷⫖↰⪸1009)⊴(⫖↰⪸3130⨰⫖↰⪸819)=NaN","reverse_text":"NaN=(⫖↰⪸6B9⋷⫖↰⪸1009)⊴(⫖↰⪸3130⨰⫖↰⪸819)","cot":[{"info":"⫖↰⪸6B9⋷⫖↰⪸1009=⫖↰⪸1519","layer":1},{"info":"⫖↰⪸3130⨰⫖↰⪸819=⫖↰⪸2521","layer":1},{"info":"⫖↰⪸1519⊴⫖↰⪸2521=NaN","layer":0}]}
+{"id":44,"expression_no_base_symbol":"(⩦⩻⨪$3172$)⋷($5045$⨵⪆$7923$)","expression":"(⩦⩻⨪⫖↰⪸1A04)⋷(⫖↰⪸2B05⨵⪆⫖↰⪸4703)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3172,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5045,"base":12},"right_expr":{"type":"numeric_atoms","value":7923,"base":12}}},"used_operators":["23Mk6UjR3U","2td37pGCOC","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-1798","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3172","layer":2},{"info":"compute unary expreesion, input=3172, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3172","layer":1},{"info":"number node, value=5045","layer":2},{"info":"number node, value=7923","layer":2},{"info":"compute binary expreesion, left_input=5045, right_input=7923, 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=3172, right_input=160, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2852","layer":0}],"base":12,"result_base":12,"text":"(⩦⩻⨪⫖↰⪸1A04)⋷(⫖↰⪸2B05⨵⪆⫖↰⪸4703)=⫖↰⪸-1798","reverse_text":"⫖↰⪸-1798=(⩦⩻⨪⫖↰⪸1A04)⋷(⫖↰⪸2B05⨵⪆⫖↰⪸4703)","cot":[{"info":"⩦⩻⨪⫖↰⪸1A04=⫖↰⪸1A04","layer":1},{"info":"⫖↰⪸2B05⨵⪆⫖↰⪸4703=⫖↰⪸114","layer":1},{"info":"⫖↰⪸1A04⋷⫖↰⪸114=⫖↰⪸-1798","layer":0}]}
+{"id":45,"expression_no_base_symbol":"$4744$⪮%⊝$5219$⊉≛↸$1594$⪛$2555$","expression":"⫖↰⪸28B4⪮%⊝⫖↰⪸302B⊉≛↸⫖↰⪸B0A⪛⫖↰⪸158B","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4744,"base":12},"right_expr":{"type":"numeric_atoms","value":5219,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1594,"base":12},"right_expr":{"type":"numeric_atoms","value":2555,"base":12}}},"used_operators":["DZ8iAZOCBD","IWmyXbctLI","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫖↰⪸B420","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4744","layer":2},{"info":"number node, value=5219","layer":2},{"info":"compute binary expreesion, left_input=4744, right_input=5219, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9804","layer":1},{"info":"number node, value=1594","layer":2},{"info":"number node, value=2555","layer":2},{"info":"compute binary expreesion, left_input=1594, right_input=2555, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1594","layer":1},{"info":"compute binary expreesion, left_input=9804, right_input=1594, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=19608","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸28B4⪮%⊝⫖↰⪸302B⊉≛↸⫖↰⪸B0A⪛⫖↰⪸158B=⫖↰⪸B420","reverse_text":"⫖↰⪸B420=⫖↰⪸28B4⪮%⊝⫖↰⪸302B⊉≛↸⫖↰⪸B0A⪛⫖↰⪸158B","cot":[{"info":"⫖↰⪸28B4⪮%⊝⫖↰⪸302B=⫖↰⪸5810","layer":1},{"info":"⫖↰⪸B0A⪛⫖↰⪸158B=⫖↰⪸B0A","layer":1},{"info":"⫖↰⪸5810⊉≛↸⫖↰⪸B0A=⫖↰⪸B420","layer":0}]}
+{"id":46,"expression_no_base_symbol":"(≦∁$1959$)≋⫹","expression":"(≦∁⫖↰⪸1173)≋⫹","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1959,"base":12}}},"used_operators":["N41Kp7NANJ","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫖↰⪸-2326","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1959","layer":2},{"info":"compute unary expreesion, input=1959, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1959","layer":1},{"info":"compute unary expreesion, input=1959, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3918","layer":0}],"base":12,"result_base":12,"text":"(≦∁⫖↰⪸1173)≋⫹=⫖↰⪸-2326","reverse_text":"⫖↰⪸-2326=(≦∁⫖↰⪸1173)≋⫹","cot":[{"info":"≦∁⫖↰⪸1173=⫖↰⪸1173","layer":1},{"info":"⫖↰⪸1173≋⫹=⫖↰⪸-2326","layer":0}]}
+{"id":47,"expression_no_base_symbol":"($7532$⩨$6474$)↙$4030$∼$2824$","expression":"(⫖↰⪸4438⩨⫖↰⪸38B6)↙⫖↰⪸23BA∼⫖↰⪸1774","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":86,"operation_count":3,"complexity_ratio":28.666666666666668,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7532,"base":12},"right_expr":{"type":"numeric_atoms","value":6474,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4030,"base":12},"right_expr":{"type":"numeric_atoms","value":2824,"base":12}}},"used_operators":["yyfyN0ffXY","2DlMacCsIx","DyGG3AbaNP"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7532","layer":2},{"info":"number node, value=6474","layer":2},{"info":"compute binary expreesion, left_input=7532, right_input=6474, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=4030","layer":2},{"info":"number node, value=2824","layer":2},{"info":"compute binary expreesion, left_input=4030, right_input=2824, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸4438⩨⫖↰⪸38B6)↙⫖↰⪸23BA∼⫖↰⪸1774=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸4438⩨⫖↰⪸38B6)↙⫖↰⪸23BA∼⫖↰⪸1774","cot":[{"info":"⫖↰⪸4438⩨⫖↰⪸38B6=⫖↰⪸0","layer":1},{"info":"⫖↰⪸23BA∼⫖↰⪸1774=NaN","layer":1},{"info":"⫖↰⪸0↙NaN=⫖↰⪸0","layer":0}]}
+{"id":48,"expression_no_base_symbol":"($7134$⩷∴$2407$)⊴(⫓⪴$7976$)","expression":"(⫖↰⪸4166⩷∴⫖↰⪸1487)⊴(⫓⪴⫖↰⪸4748)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7989,"operation_count":3,"complexity_ratio":2663.0,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7134,"base":12},"right_expr":{"type":"numeric_atoms","value":2407,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7976,"base":12}}},"used_operators":["Nsiff2A1zJ","9FxExcQeMw","eLxqMNBOBk"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7134","layer":2},{"info":"number node, value=2407","layer":2},{"info":"compute binary expreesion, left_input=7134, right_input=2407, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=9422","layer":1},{"info":"number node, value=7976","layer":2},{"info":"compute unary expreesion, input=7976, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=63616576","layer":1},{"info":"compute binary expreesion, left_input=9422, right_input=63616576, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸4166⩷∴⫖↰⪸1487)⊴(⫓⪴⫖↰⪸4748)=NaN","reverse_text":"NaN=(⫖↰⪸4166⩷∴⫖↰⪸1487)⊴(⫓⪴⫖↰⪸4748)","cot":[{"info":"⫖↰⪸4166⩷∴⫖↰⪸1487=⫖↰⪸5552","layer":1},{"info":"⫓⪴⫖↰⪸4748=⫖↰⪸1937B194","layer":1},{"info":"⫖↰⪸5552⊴⫖↰⪸1937B194=NaN","layer":0}]}
+{"id":49,"expression_no_base_symbol":"$2289$⪮%⊝$4887$⊦⊿","expression":"⫖↰⪸13A9⪮%⊝⫖↰⪸29B3⊦⊿","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":2,"complexity_ratio":7.5,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2289,"base":12},"right_expr":{"type":"numeric_atoms","value":4887,"base":12}}},"used_operators":["14qkJME0vr","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸-8661","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2289","layer":2},{"info":"number node, value=4887","layer":2},{"info":"compute binary expreesion, left_input=2289, right_input=4887, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4894","layer":1},{"info":"compute unary expreesion, input=4894, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-14761","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸13A9⪮%⊝⫖↰⪸29B3⊦⊿=⫖↰⪸-8661","reverse_text":"⫖↰⪸-8661=⫖↰⪸13A9⪮%⊝⫖↰⪸29B3⊦⊿","cot":[{"info":"⫖↰⪸13A9⪮%⊝⫖↰⪸29B3=⫖↰⪸29BA","layer":1},{"info":"⫖↰⪸29BA⊦⊿=⫖↰⪸-8661","layer":0}]}
+{"id":50,"expression_no_base_symbol":"($5087$≦≮≮)⊴($7544$%$5209$)","expression":"(⫖↰⪸2B3B≦≮≮)⊴(⫖↰⪸4448%⫖↰⪸3021)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10769,"operation_count":3,"complexity_ratio":3589.6666666666665,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":5087,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7544,"base":12},"right_expr":{"type":"numeric_atoms","value":5209,"base":12}}},"used_operators":["Nsiff2A1zJ","D4vGDi5EA2","k8jYdgA6NY"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5087","layer":2},{"info":"compute unary expreesion, input=5087, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-15261","layer":1},{"info":"number node, value=7544","layer":2},{"info":"number node, value=5209","layer":2},{"info":"compute binary expreesion, left_input=7544, right_input=5209, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2335","layer":1},{"info":"compute binary expreesion, left_input=-15261, right_input=2335, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2B3B≦≮≮)⊴(⫖↰⪸4448%⫖↰⪸3021)=NaN","reverse_text":"NaN=(⫖↰⪸2B3B≦≮≮)⊴(⫖↰⪸4448%⫖↰⪸3021)","cot":[{"info":"⫖↰⪸2B3B≦≮≮=⫖↰⪸-89B9","layer":1},{"info":"⫖↰⪸4448%⫖↰⪸3021=⫖↰⪸1427","layer":1},{"info":"⫖↰⪸-89B9⊴⫖↰⪸1427=NaN","layer":0}]}
+{"id":51,"expression_no_base_symbol":"≤/($6222$∸)","expression":"≤/(⫖↰⪸3726∸)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":178,"operation_count":2,"complexity_ratio":89.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":6222,"base":12}}},"used_operators":["eLAdDNolq6","o20kRiQErp"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x"],"result":"⫖↰⪸217","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6222","layer":2},{"info":"compute unary expreesion, input=6222, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute unary expreesion, input=177, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=307","layer":0}],"base":12,"result_base":12,"text":"≤/(⫖↰⪸3726∸)=⫖↰⪸217","reverse_text":"⫖↰⪸217=≤/(⫖↰⪸3726∸)","cot":[{"info":"⫖↰⪸3726∸=⫖↰⪸129","layer":1},{"info":"≤/⫖↰⪸129=⫖↰⪸217","layer":0}]}
+{"id":52,"expression_no_base_symbol":"$7092$≹⇙⪍$1354$⋷($9470$⨁⊸⫻)","expression":"⫖↰⪸4130≹⇙⪍⫖↰⪸94A⋷(⫖↰⪸5592⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7092,"base":12},"right_expr":{"type":"numeric_atoms","value":1354,"base":12}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":9470,"base":12}}},"used_operators":["23Mk6UjR3U","AHs5Up7iyr","glklzrTFfD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7092","layer":2},{"info":"number node, value=1354","layer":2},{"info":"compute binary expreesion, left_input=7092, right_input=1354, 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=9470","layer":2},{"info":"compute unary expreesion, input=9470, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=9470","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9470, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸4130≹⇙⪍⫖↰⪸94A⋷(⫖↰⪸5592⨁⊸⫻)=NaN","reverse_text":"NaN=⫖↰⪸4130≹⇙⪍⫖↰⪸94A⋷(⫖↰⪸5592⨁⊸⫻)","cot":[{"info":"⫖↰⪸4130≹⇙⪍⫖↰⪸94A=NaN","layer":1},{"info":"⫖↰⪸5592⨁⊸⫻=⫖↰⪸5592","layer":1},{"info":"NaN⋷⫖↰⪸5592=NaN","layer":0}]}
+{"id":53,"expression_no_base_symbol":"($5639$⇼⇔∾$1005$)⫸⊐$5715$≭$4680$","expression":"(⫖↰⪸331B⇼⇔∾⫖↰⪸6B9)⫸⊐⫖↰⪸3383≭⫖↰⪸2860","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5639,"base":12},"right_expr":{"type":"numeric_atoms","value":1005,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5715,"base":12},"right_expr":{"type":"numeric_atoms","value":4680,"base":12}}},"used_operators":["mqXw5SEYmG","tifHPKVTfV","rxpJgHHUmx"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"⫖↰⪸688","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5639","layer":2},{"info":"number node, value=1005","layer":2},{"info":"compute binary expreesion, left_input=5639, right_input=1005, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4634","layer":1},{"info":"number node, value=5715","layer":2},{"info":"number node, value=4680","layer":2},{"info":"compute binary expreesion, left_input=5715, right_input=4680, 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=-4634, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸331B⇼⇔∾⫖↰⪸6B9)⫸⊐⫖↰⪸3383≭⫖↰⪸2860=⫖↰⪸688","reverse_text":"⫖↰⪸688=(⫖↰⪸331B⇼⇔∾⫖↰⪸6B9)⫸⊐⫖↰⪸3383≭⫖↰⪸2860","cot":[{"info":"⫖↰⪸331B⇼⇔∾⫖↰⪸6B9=⫖↰⪸-2822","layer":1},{"info":"⫖↰⪸3383≭⫖↰⪸2860=NaN","layer":1},{"info":"⫖↰⪸-2822⫸⊐NaN=⫖↰⪸688","layer":0}]}
+{"id":54,"expression_no_base_symbol":"($2288$⋥≓≎$8983$)⩷∴$7053$⪢$5694$","expression":"(⫖↰⪸13A8⋥≓≎⫖↰⪸5247)⩷∴⫖↰⪸40B9⪢⫖↰⪸3366","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9338,"operation_count":3,"complexity_ratio":3112.6666666666665,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2288,"base":12},"right_expr":{"type":"numeric_atoms","value":8983,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7053,"base":12},"right_expr":{"type":"numeric_atoms","value":5694,"base":12}}},"used_operators":["9FxExcQeMw","Qy55tPpLXF","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2288","layer":2},{"info":"number node, value=8983","layer":2},{"info":"compute binary expreesion, left_input=2288, right_input=8983, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=15711","layer":1},{"info":"number node, value=7053","layer":2},{"info":"number node, value=5694","layer":2},{"info":"compute binary expreesion, left_input=7053, right_input=5694, 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=15711, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸13A8⋥≓≎⫖↰⪸5247)⩷∴⫖↰⪸40B9⪢⫖↰⪸3366=NaN","reverse_text":"NaN=(⫖↰⪸13A8⋥≓≎⫖↰⪸5247)⩷∴⫖↰⪸40B9⪢⫖↰⪸3366","cot":[{"info":"⫖↰⪸13A8⋥≓≎⫖↰⪸5247=⫖↰⪸9113","layer":1},{"info":"⫖↰⪸40B9⪢⫖↰⪸3366=NaN","layer":1},{"info":"⫖↰⪸9113⩷∴NaN=NaN","layer":0}]}
+{"id":55,"expression_no_base_symbol":"$6667$⋝⋈⪟$2135$+⇶⊼(↔$1440$)","expression":"⫖↰⪸3A37⋝⋈⪟⫖↰⪸129B+⇶⊼(↔⫖↰⪸A00)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6667,"base":12},"right_expr":{"type":"numeric_atoms","value":2135,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1440,"base":12}}},"used_operators":["TpPTUOHfaN","2DDjHMKMc0","ruOEQAzv1W"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6667","layer":2},{"info":"number node, value=2135","layer":2},{"info":"compute binary expreesion, left_input=6667, right_input=2135, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6667","layer":1},{"info":"number node, value=1440","layer":2},{"info":"compute unary expreesion, input=1440, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1167","layer":1},{"info":"compute binary expreesion, left_input=6667, right_input=-1167, 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":12,"result_base":12,"text":"⫖↰⪸3A37⋝⋈⪟⫖↰⪸129B+⇶⊼(↔⫖↰⪸A00)=NaN","reverse_text":"NaN=⫖↰⪸3A37⋝⋈⪟⫖↰⪸129B+⇶⊼(↔⫖↰⪸A00)","cot":[{"info":"⫖↰⪸3A37⋝⋈⪟⫖↰⪸129B=⫖↰⪸3A37","layer":1},{"info":"↔⫖↰⪸A00=⫖↰⪸-813","layer":1},{"info":"⫖↰⪸3A37+⇶⊼⫖↰⪸-813=NaN","layer":0}]}
+{"id":56,"expression_no_base_symbol":"↣≠⋷($5111$/$1391$)","expression":"↣≠⋷(⫖↰⪸2B5B/⫖↰⪸97B)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":2,"complexity_ratio":7.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5111,"base":12},"right_expr":{"type":"numeric_atoms","value":1391,"base":12}}},"used_operators":["Asc51vEJeQ","XhwjNDsVaA"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5111","layer":2},{"info":"number node, value=1391","layer":2},{"info":"compute binary expreesion, left_input=5111, right_input=1391, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":1},{"info":"compute unary expreesion, input=3, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↣≠⋷(⫖↰⪸2B5B/⫖↰⪸97B)=NaN","reverse_text":"NaN=↣≠⋷(⫖↰⪸2B5B/⫖↰⪸97B)","cot":[{"info":"⫖↰⪸2B5B/⫖↰⪸97B=⫖↰⪸3","layer":1},{"info":"↣≠⋷⫖↰⪸3=NaN","layer":0}]}
+{"id":57,"expression_no_base_symbol":"$3554$+⇶⊼$5652$≭($1277$∲⫓$1036$)","expression":"⫖↰⪸2082+⇶⊼⫖↰⪸3330≭(⫖↰⪸8A5∲⫓⫖↰⪸724)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3554,"base":12},"right_expr":{"type":"numeric_atoms","value":5652,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1277,"base":12},"right_expr":{"type":"numeric_atoms","value":1036,"base":12}}},"used_operators":["rxpJgHHUmx","TpPTUOHfaN","i8ToyICDmI"],"dependent_operators":["AHs5Up7iyr","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-1A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3554","layer":2},{"info":"number node, value=5652","layer":2},{"info":"compute binary expreesion, left_input=3554, right_input=5652, 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=1277","layer":2},{"info":"number node, value=1036","layer":2},{"info":"compute binary expreesion, left_input=1277, right_input=1036, 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=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":12,"result_base":12,"text":"⫖↰⪸2082+⇶⊼⫖↰⪸3330≭(⫖↰⪸8A5∲⫓⫖↰⪸724)=⫖↰⪸-1A","reverse_text":"⫖↰⪸-1A=⫖↰⪸2082+⇶⊼⫖↰⪸3330≭(⫖↰⪸8A5∲⫓⫖↰⪸724)","cot":[{"info":"⫖↰⪸2082+⇶⊼⫖↰⪸3330=NaN","layer":1},{"info":"⫖↰⪸8A5∲⫓⫖↰⪸724=⫖↰⪸0","layer":1},{"info":"NaN≭⫖↰⪸0=⫖↰⪸-1A","layer":0}]}
+{"id":58,"expression_no_base_symbol":"$2908$⪛$2627$⩚⊴⇥($1052$⨳⩥⨓$1091$)","expression":"⫖↰⪸1824⪛⫖↰⪸162B⩚⊴⇥(⫖↰⪸738⨳⩥⨓⫖↰⪸76B)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2908,"base":12},"right_expr":{"type":"numeric_atoms","value":2627,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1052,"base":12},"right_expr":{"type":"numeric_atoms","value":1091,"base":12}}},"used_operators":["NTOWxs364D","uFcxV4UQCh","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸-309","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2908","layer":2},{"info":"number node, value=2627","layer":2},{"info":"compute binary expreesion, left_input=2908, right_input=2627, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=281","layer":1},{"info":"number node, value=1052","layer":2},{"info":"number node, value=1091","layer":2},{"info":"compute binary expreesion, left_input=1052, right_input=1091, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=39","layer":1},{"info":"compute binary expreesion, left_input=281, right_input=39, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-441","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1824⪛⫖↰⪸162B⩚⊴⇥(⫖↰⪸738⨳⩥⨓⫖↰⪸76B)=⫖↰⪸-309","reverse_text":"⫖↰⪸-309=⫖↰⪸1824⪛⫖↰⪸162B⩚⊴⇥(⫖↰⪸738⨳⩥⨓⫖↰⪸76B)","cot":[{"info":"⫖↰⪸1824⪛⫖↰⪸162B=⫖↰⪸1B5","layer":1},{"info":"⫖↰⪸738⨳⩥⨓⫖↰⪸76B=⫖↰⪸33","layer":1},{"info":"⫖↰⪸1B5⩚⊴⇥⫖↰⪸33=⫖↰⪸-309","layer":0}]}
+{"id":59,"expression_no_base_symbol":"($8982$⫡⨏$1001$)⨽(≉$5084$)","expression":"(⫖↰⪸5246⫡⨏⫖↰⪸6B5)⨽(≉⫖↰⪸2B38)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":47713,"operation_count":3,"complexity_ratio":15904.333333333334,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8982,"base":12},"right_expr":{"type":"numeric_atoms","value":1001,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5084,"base":12}}},"used_operators":["8HhzD0ZcuI","QMFrweE19q","e1ybzncUwg"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"-Inf","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8982","layer":2},{"info":"number node, value=1001","layer":2},{"info":"compute binary expreesion, left_input=8982, right_input=1001, 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=47695","layer":1},{"info":"number node, value=5084","layer":2},{"info":"compute unary expreesion, input=5084, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5615","layer":1},{"info":"compute binary expreesion, left_input=47695, right_input=5615, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸5246⫡⨏⫖↰⪸6B5)⨽(≉⫖↰⪸2B38)=-Inf","reverse_text":"-Inf=(⫖↰⪸5246⫡⨏⫖↰⪸6B5)⨽(≉⫖↰⪸2B38)","cot":[{"info":"⫖↰⪸5246⫡⨏⫖↰⪸6B5=⫖↰⪸23727","layer":1},{"info":"≉⫖↰⪸2B38=⫖↰⪸32BB","layer":1},{"info":"⫖↰⪸23727⨽⫖↰⪸32BB=-Inf","layer":0}]}
+{"id":60,"expression_no_base_symbol":"(⋗⩬⋾$2072$)⪛(⇁⨣⪵$4400$)","expression":"(⋗⩬⋾⫖↰⪸1248)⪛(⇁⨣⪵⫖↰⪸2668)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2072,"base":12}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4400,"base":12}}},"used_operators":["uFcxV4UQCh","DpFCA1CohY","inkyxCbjAn"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2072","layer":2},{"info":"compute unary expreesion, input=2072, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6216","layer":1},{"info":"number node, value=4400","layer":2},{"info":"compute unary expreesion, input=4400, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6216, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⋗⩬⋾⫖↰⪸1248)⪛(⇁⨣⪵⫖↰⪸2668)=NaN","reverse_text":"NaN=(⋗⩬⋾⫖↰⪸1248)⪛(⇁⨣⪵⫖↰⪸2668)","cot":[{"info":"⋗⩬⋾⫖↰⪸1248=⫖↰⪸-3720","layer":1},{"info":"⇁⨣⪵⫖↰⪸2668=NaN","layer":1},{"info":"⫖↰⪸-3720⪛NaN=NaN","layer":0}]}
+{"id":61,"expression_no_base_symbol":"$1365$≹⇙⪍$1697$⨪↰⇹($1467$⋷$1739$)","expression":"⫖↰⪸959≹⇙⪍⫖↰⪸B95⨪↰⇹(⫖↰⪸A23⋷⫖↰⪸100B)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1365,"base":12},"right_expr":{"type":"numeric_atoms","value":1697,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1467,"base":12},"right_expr":{"type":"numeric_atoms","value":1739,"base":12}}},"used_operators":["tmPS8pqC7x","AHs5Up7iyr","23Mk6UjR3U"],"dependent_operators":["rJVOvQCfKK","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1365","layer":2},{"info":"number node, value=1697","layer":2},{"info":"compute binary expreesion, left_input=1365, right_input=1697, 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=1467","layer":2},{"info":"number node, value=1739","layer":2},{"info":"compute binary expreesion, left_input=1467, right_input=1739, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2011","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2011, 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":12,"result_base":12,"text":"⫖↰⪸959≹⇙⪍⫖↰⪸B95⨪↰⇹(⫖↰⪸A23⋷⫖↰⪸100B)=NaN","reverse_text":"NaN=⫖↰⪸959≹⇙⪍⫖↰⪸B95⨪↰⇹(⫖↰⪸A23⋷⫖↰⪸100B)","cot":[{"info":"⫖↰⪸959≹⇙⪍⫖↰⪸B95=NaN","layer":1},{"info":"⫖↰⪸A23⋷⫖↰⪸100B=⫖↰⪸11B7","layer":1},{"info":"NaN⨪↰⇹⫖↰⪸11B7=NaN","layer":0}]}
+{"id":62,"expression_no_base_symbol":"($2876$↺$4146$)≦≮≮","expression":"(⫖↰⪸17B8↺⫖↰⪸2496)≦≮≮","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2876,"base":12},"right_expr":{"type":"numeric_atoms","value":4146,"base":12}}},"used_operators":["D4vGDi5EA2","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-7246","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2876","layer":2},{"info":"number node, value=4146","layer":2},{"info":"compute binary expreesion, left_input=2876, right_input=4146, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4146","layer":1},{"info":"compute unary expreesion, input=4146, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-12438","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸17B8↺⫖↰⪸2496)≦≮≮=⫖↰⪸-7246","reverse_text":"⫖↰⪸-7246=(⫖↰⪸17B8↺⫖↰⪸2496)≦≮≮","cot":[{"info":"⫖↰⪸17B8↺⫖↰⪸2496=⫖↰⪸2496","layer":1},{"info":"⫖↰⪸2496≦≮≮=⫖↰⪸-7246","layer":0}]}
+{"id":63,"expression_no_base_symbol":"⨰⫟⨤$3976$⪛$4549$","expression":"⨰⫟⨤⫖↰⪸2374⪛⫖↰⪸2771","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15068,"operation_count":2,"complexity_ratio":7534.0,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3976,"base":12},"right_expr":{"type":"numeric_atoms","value":4549,"base":12}}},"used_operators":["Tw270M8GLb","uFcxV4UQCh"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3976","layer":2},{"info":"number node, value=4549","layer":2},{"info":"compute binary expreesion, left_input=3976, right_input=4549, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3976","layer":1},{"info":"compute unary expreesion, input=3976, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨰⫟⨤⫖↰⪸2374⪛⫖↰⪸2771=NaN","reverse_text":"NaN=⨰⫟⨤⫖↰⪸2374⪛⫖↰⪸2771","cot":[{"info":"⫖↰⪸2374⪛⫖↰⪸2771=⫖↰⪸2374","layer":1},{"info":"⨰⫟⨤⫖↰⪸2374=NaN","layer":0}]}
+{"id":64,"expression_no_base_symbol":"$3737$⩷∴$1597$∲⫓($2732$≫≃)","expression":"⫖↰⪸21B5⩷∴⫖↰⪸B11∲⫓(⫖↰⪸16B8≫≃)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3737,"base":12},"right_expr":{"type":"numeric_atoms","value":1597,"base":12}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2732,"base":12}}},"used_operators":["i8ToyICDmI","9FxExcQeMw","X99M06cbEe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3737","layer":2},{"info":"number node, value=1597","layer":2},{"info":"compute binary expreesion, left_input=3737, right_input=1597, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4248","layer":1},{"info":"number node, value=2732","layer":2},{"info":"compute unary expreesion, input=2732, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6865","layer":1},{"info":"compute binary expreesion, left_input=4248, right_input=6865, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸21B5⩷∴⫖↰⪸B11∲⫓(⫖↰⪸16B8≫≃)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫖↰⪸21B5⩷∴⫖↰⪸B11∲⫓(⫖↰⪸16B8≫≃)","cot":[{"info":"⫖↰⪸21B5⩷∴⫖↰⪸B11=⫖↰⪸2560","layer":1},{"info":"⫖↰⪸16B8≫≃=⫖↰⪸3B81","layer":1},{"info":"⫖↰⪸2560∲⫓⫖↰⪸3B81=⫖↰⪸0","layer":0}]}
+{"id":65,"expression_no_base_symbol":"(⨞⊢$1510$)⪐","expression":"(⨞⊢⫖↰⪸A5A)⪐","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1510,"base":12}}},"used_operators":["eH2TOUuTDT","xUOZtlo3hN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-1B48","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1510","layer":2},{"info":"compute unary expreesion, input=1510, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1684","layer":1},{"info":"compute unary expreesion, input=-1684, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-3368","layer":0}],"base":12,"result_base":12,"text":"(⨞⊢⫖↰⪸A5A)⪐=⫖↰⪸-1B48","reverse_text":"⫖↰⪸-1B48=(⨞⊢⫖↰⪸A5A)⪐","cot":[{"info":"⨞⊢⫖↰⪸A5A=⫖↰⪸-B84","layer":1},{"info":"⫖↰⪸-B84⪐=⫖↰⪸-1B48","layer":0}]}
+{"id":66,"expression_no_base_symbol":"($1413$≦≮≮)⋥≓≎($2214$⫡⨏$1063$)","expression":"(⫖↰⪸999≦≮≮)⋥≓≎(⫖↰⪸1346⫡⨏⫖↰⪸747)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1413,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2214,"base":12},"right_expr":{"type":"numeric_atoms","value":1063,"base":12}}},"used_operators":["Qy55tPpLXF","D4vGDi5EA2","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1413","layer":2},{"info":"compute unary expreesion, input=1413, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4239","layer":1},{"info":"number node, value=2214","layer":2},{"info":"number node, value=1063","layer":2},{"info":"compute binary expreesion, left_input=2214, right_input=1063, 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=13979","layer":1},{"info":"compute binary expreesion, left_input=-4239, right_input=13979, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸999≦≮≮)⋥≓≎(⫖↰⪸1346⫡⨏⫖↰⪸747)=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⫖↰⪸999≦≮≮)⋥≓≎(⫖↰⪸1346⫡⨏⫖↰⪸747)","cot":[{"info":"⫖↰⪸999≦≮≮=⫖↰⪸-2553","layer":1},{"info":"⫖↰⪸1346⫡⨏⫖↰⪸747=⫖↰⪸810B","layer":1},{"info":"⫖↰⪸-2553⋥≓≎⫖↰⪸810B=⫖↰⪸57","layer":0}]}
+{"id":67,"expression_no_base_symbol":"($2512$⪨≂$2689$)⪘⫢$2374$↬$3170$","expression":"(⫖↰⪸1554⪨≂⫖↰⪸1681)⪘⫢⫖↰⪸145A↬⫖↰⪸1A02","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2512,"base":12},"right_expr":{"type":"numeric_atoms","value":2689,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2374,"base":12},"right_expr":{"type":"numeric_atoms","value":3170,"base":12}}},"used_operators":["oacrs7FA3X","sdazOOVcIp","B5M0gjZbta"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2512","layer":2},{"info":"number node, value=2689","layer":2},{"info":"compute binary expreesion, left_input=2512, right_input=2689, 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=-252","layer":1},{"info":"number node, value=2374","layer":2},{"info":"number node, value=3170","layer":2},{"info":"compute binary expreesion, left_input=2374, right_input=3170, 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=-252, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1554⪨≂⫖↰⪸1681)⪘⫢⫖↰⪸145A↬⫖↰⪸1A02=NaN","reverse_text":"NaN=(⫖↰⪸1554⪨≂⫖↰⪸1681)⪘⫢⫖↰⪸145A↬⫖↰⪸1A02","cot":[{"info":"⫖↰⪸1554⪨≂⫖↰⪸1681=⫖↰⪸-190","layer":1},{"info":"⫖↰⪸145A↬⫖↰⪸1A02=NaN","layer":1},{"info":"⫖↰⪸-190⪘⫢NaN=NaN","layer":0}]}
+{"id":68,"expression_no_base_symbol":"($1129$⊭∹↮)⩨($1690$∲⫓$5104$)","expression":"(⫖↰⪸7A1⊭∹↮)⩨(⫖↰⪸B8A∲⫓⫖↰⪸2B54)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1129,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1690,"base":12},"right_expr":{"type":"numeric_atoms","value":5104,"base":12}}},"used_operators":["2DlMacCsIx","xNBdhnnwKq","i8ToyICDmI"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1129","layer":2},{"info":"compute unary expreesion, input=1129, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2258","layer":1},{"info":"number node, value=1690","layer":2},{"info":"number node, value=5104","layer":2},{"info":"compute binary expreesion, left_input=1690, right_input=5104, 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=2258, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸7A1⊭∹↮)⩨(⫖↰⪸B8A∲⫓⫖↰⪸2B54)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸7A1⊭∹↮)⩨(⫖↰⪸B8A∲⫓⫖↰⪸2B54)","cot":[{"info":"⫖↰⪸7A1⊭∹↮=⫖↰⪸1382","layer":1},{"info":"⫖↰⪸B8A∲⫓⫖↰⪸2B54=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1382⩨⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":69,"expression_no_base_symbol":"$1705$⋥≓≎$1099$⨸⪁($1292$+$1667$)","expression":"⫖↰⪸BA1⋥≓≎⫖↰⪸777⨸⪁(⫖↰⪸8B8+⫖↰⪸B6B)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1705,"base":12},"right_expr":{"type":"numeric_atoms","value":1099,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1292,"base":12},"right_expr":{"type":"numeric_atoms","value":1667,"base":12}}},"used_operators":["g55IO6H4Gj","Qy55tPpLXF","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸404A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1705","layer":2},{"info":"number node, value=1099","layer":2},{"info":"compute binary expreesion, left_input=1705, right_input=1099, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=526","layer":1},{"info":"number node, value=1292","layer":2},{"info":"number node, value=1667","layer":2},{"info":"compute binary expreesion, left_input=1292, right_input=1667, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2959","layer":1},{"info":"compute binary expreesion, left_input=526, right_input=2959, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6970","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸BA1⋥≓≎⫖↰⪸777⨸⪁(⫖↰⪸8B8+⫖↰⪸B6B)=⫖↰⪸404A","reverse_text":"⫖↰⪸404A=⫖↰⪸BA1⋥≓≎⫖↰⪸777⨸⪁(⫖↰⪸8B8+⫖↰⪸B6B)","cot":[{"info":"⫖↰⪸BA1⋥≓≎⫖↰⪸777=⫖↰⪸37A","layer":1},{"info":"⫖↰⪸8B8+⫖↰⪸B6B=⫖↰⪸1867","layer":1},{"info":"⫖↰⪸37A⨸⪁⫖↰⪸1867=⫖↰⪸404A","layer":0}]}
+{"id":70,"expression_no_base_symbol":"(⊄⩳↩$3474$)⫡⨏$1437$≧⫂∧$3826$","expression":"(⊄⩳↩⫖↰⪸2016)⫡⨏⫖↰⪸9B9≧⫂∧⫖↰⪸226A","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3474,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1437,"base":12},"right_expr":{"type":"numeric_atoms","value":3826,"base":12}}},"used_operators":["QMFrweE19q","8w2t5hMYqp","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-219A5","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3474","layer":2},{"info":"compute unary expreesion, input=3474, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10422","layer":1},{"info":"number node, value=1437","layer":2},{"info":"number node, value=3826","layer":2},{"info":"compute binary expreesion, left_input=1437, right_input=3826, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3353","layer":1},{"info":"compute binary expreesion, left_input=-10422, right_input=3353, 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=-44621","layer":0}],"base":12,"result_base":12,"text":"(⊄⩳↩⫖↰⪸2016)⫡⨏⫖↰⪸9B9≧⫂∧⫖↰⪸226A=⫖↰⪸-219A5","reverse_text":"⫖↰⪸-219A5=(⊄⩳↩⫖↰⪸2016)⫡⨏⫖↰⪸9B9≧⫂∧⫖↰⪸226A","cot":[{"info":"⊄⩳↩⫖↰⪸2016=⫖↰⪸-6046","layer":1},{"info":"⫖↰⪸9B9≧⫂∧⫖↰⪸226A=⫖↰⪸1B35","layer":1},{"info":"⫖↰⪸-6046⫡⨏⫖↰⪸1B35=⫖↰⪸-219A5","layer":0}]}
+{"id":71,"expression_no_base_symbol":"$2077$∼$2318$⪨≂$7272$⋓$2025$","expression":"⫖↰⪸1251∼⫖↰⪸1412⪨≂⫖↰⪸4260⋓⫖↰⪸1209","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":60,"operation_count":3,"complexity_ratio":20.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2077,"base":12},"right_expr":{"type":"numeric_atoms","value":2318,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7272,"base":12},"right_expr":{"type":"numeric_atoms","value":2025,"base":12}}},"used_operators":["sdazOOVcIp","DyGG3AbaNP","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2077","layer":2},{"info":"number node, value=2318","layer":2},{"info":"compute binary expreesion, left_input=2077, right_input=2318, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=7272","layer":2},{"info":"number node, value=2025","layer":2},{"info":"compute binary expreesion, left_input=7272, right_input=2025, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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":12,"result_base":12,"text":"⫖↰⪸1251∼⫖↰⪸1412⪨≂⫖↰⪸4260⋓⫖↰⪸1209=NaN","reverse_text":"NaN=⫖↰⪸1251∼⫖↰⪸1412⪨≂⫖↰⪸4260⋓⫖↰⪸1209","cot":[{"info":"⫖↰⪸1251∼⫖↰⪸1412=NaN","layer":1},{"info":"⫖↰⪸4260⋓⫖↰⪸1209=⫖↰⪸0","layer":1},{"info":"NaN⪨≂⫖↰⪸0=NaN","layer":0}]}
+{"id":72,"expression_no_base_symbol":"(⨑⩽⪐$5130$)⨵⪆(⨈⫕$5847$)","expression":"(⨑⩽⪐⫖↰⪸2B76)⨵⪆(⨈⫕⫖↰⪸3473)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":391,"operation_count":3,"complexity_ratio":130.33333333333334,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5130,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5847,"base":12}}},"used_operators":["2DQ55sFlQl","AF7qkfDlqP","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5130","layer":2},{"info":"compute unary expreesion, input=5130, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4857","layer":1},{"info":"number node, value=5847","layer":2},{"info":"compute unary expreesion, input=5847, 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=-4857, right_input=-21, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⨑⩽⪐⫖↰⪸2B76)⨵⪆(⨈⫕⫖↰⪸3473)=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⨑⩽⪐⫖↰⪸2B76)⨵⪆(⨈⫕⫖↰⪸3473)","cot":[{"info":"⨑⩽⪐⫖↰⪸2B76=⫖↰⪸-2989","layer":1},{"info":"⨈⫕⫖↰⪸3473=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸-2989⨵⪆⫖↰⪸-19=⫖↰⪸114","layer":0}]}
+{"id":73,"expression_no_base_symbol":"($5486$⫩⊇)⋳⪒($1773$/$1305$)","expression":"(⫖↰⪸3212⫩⊇)⋳⪒(⫖↰⪸1039/⫖↰⪸909)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":5486,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1773,"base":12},"right_expr":{"type":"numeric_atoms","value":1305,"base":12}}},"used_operators":["12rbrZMWeM","BjRHVeLaeN","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-6574","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5486","layer":2},{"info":"compute unary expreesion, input=5486, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5444","layer":1},{"info":"number node, value=1773","layer":2},{"info":"number node, value=1305","layer":2},{"info":"compute binary expreesion, left_input=1773, right_input=1305, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"compute binary expreesion, left_input=-5444, right_input=1, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-11176","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3212⫩⊇)⋳⪒(⫖↰⪸1039/⫖↰⪸909)=⫖↰⪸-6574","reverse_text":"⫖↰⪸-6574=(⫖↰⪸3212⫩⊇)⋳⪒(⫖↰⪸1039/⫖↰⪸909)","cot":[{"info":"⫖↰⪸3212⫩⊇=⫖↰⪸-3198","layer":1},{"info":"⫖↰⪸1039/⫖↰⪸909=⫖↰⪸1","layer":1},{"info":"⫖↰⪸-3198⋳⪒⫖↰⪸1=⫖↰⪸-6574","layer":0}]}
+{"id":74,"expression_no_base_symbol":"($1743$⨁⊸⫻)⨓($3597$↺$2991$)","expression":"(⫖↰⪸1013⨁⊸⫻)⨓(⫖↰⪸20B9↺⫖↰⪸1893)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3000,"operation_count":3,"complexity_ratio":1000.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1743,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3597,"base":12},"right_expr":{"type":"numeric_atoms","value":2991,"base":12}}},"used_operators":["3ViojmjbAp","glklzrTFfD","7j4O788W3g"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-1896","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1743","layer":2},{"info":"compute unary expreesion, input=1743, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1743","layer":1},{"info":"number node, value=3597","layer":2},{"info":"number node, value=2991","layer":2},{"info":"compute binary expreesion, left_input=3597, right_input=2991, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2991","layer":1},{"info":"compute binary expreesion, left_input=1743, right_input=2991, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2994","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1013⨁⊸⫻)⨓(⫖↰⪸20B9↺⫖↰⪸1893)=⫖↰⪸-1896","reverse_text":"⫖↰⪸-1896=(⫖↰⪸1013⨁⊸⫻)⨓(⫖↰⪸20B9↺⫖↰⪸1893)","cot":[{"info":"⫖↰⪸1013⨁⊸⫻=⫖↰⪸1013","layer":1},{"info":"⫖↰⪸20B9↺⫖↰⪸1893=⫖↰⪸1893","layer":1},{"info":"⫖↰⪸1013⨓⫖↰⪸1893=⫖↰⪸-1896","layer":0}]}
+{"id":75,"expression_no_base_symbol":"(⫓⪴$1598$)⋳⪒(↥$1850$)","expression":"(⫓⪴⫖↰⪸B12)⋳⪒(↥⫖↰⪸10A2)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1641,"operation_count":3,"complexity_ratio":547.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1598,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1850,"base":12}}},"used_operators":["12rbrZMWeM","eLxqMNBOBk","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","k8jYdgA6NY"],"result":"⫖↰⪸1863477","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1598","layer":2},{"info":"compute unary expreesion, input=1598, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2553604","layer":1},{"info":"number node, value=1850","layer":2},{"info":"compute unary expreesion, input=1850, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=14","layer":1},{"info":"compute binary expreesion, left_input=2553604, right_input=14, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5106907","layer":0}],"base":12,"result_base":12,"text":"(⫓⪴⫖↰⪸B12)⋳⪒(↥⫖↰⪸10A2)=⫖↰⪸1863477","reverse_text":"⫖↰⪸1863477=(⫓⪴⫖↰⪸B12)⋳⪒(↥⫖↰⪸10A2)","cot":[{"info":"⫓⪴⫖↰⪸B12=⫖↰⪸A31944","layer":1},{"info":"↥⫖↰⪸10A2=⫖↰⪸12","layer":1},{"info":"⫖↰⪸A31944⋳⪒⫖↰⪸12=⫖↰⪸1863477","layer":0}]}
+{"id":76,"expression_no_base_symbol":"$1271$⊉≛↸$1307$∲⫓$1462$*$2822$","expression":"⫖↰⪸89B⊉≛↸⫖↰⪸90B∲⫓⫖↰⪸A1A*⫖↰⪸1772","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1466,"operation_count":3,"complexity_ratio":488.6666666666667,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1271,"base":12},"right_expr":{"type":"numeric_atoms","value":1307,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1462,"base":12},"right_expr":{"type":"numeric_atoms","value":2822,"base":12}}},"used_operators":["i8ToyICDmI","DZ8iAZOCBD","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1271","layer":2},{"info":"number node, value=1307","layer":2},{"info":"compute binary expreesion, left_input=1271, right_input=1307, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2542","layer":1},{"info":"number node, value=1462","layer":2},{"info":"number node, value=2822","layer":2},{"info":"compute binary expreesion, left_input=1462, right_input=2822, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4125764","layer":1},{"info":"compute binary expreesion, left_input=2542, right_input=4125764, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸89B⊉≛↸⫖↰⪸90B∲⫓⫖↰⪸A1A*⫖↰⪸1772=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫖↰⪸89B⊉≛↸⫖↰⪸90B∲⫓⫖↰⪸A1A*⫖↰⪸1772","cot":[{"info":"⫖↰⪸89B⊉≛↸⫖↰⪸90B=⫖↰⪸157A","layer":1},{"info":"⫖↰⪸A1A*⫖↰⪸1772=⫖↰⪸146B718","layer":1},{"info":"⫖↰⪸157A∲⫓⫖↰⪸146B718=⫖↰⪸0","layer":0}]}
+{"id":77,"expression_no_base_symbol":"$4457$≧⫂∧$8849$*$6871$⩷∴$5868$","expression":"⫖↰⪸26B5≧⫂∧⫖↰⪸5155*⫖↰⪸3B87⩷∴⫖↰⪸3490","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1981,"operation_count":3,"complexity_ratio":660.3333333333334,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4457,"base":12},"right_expr":{"type":"numeric_atoms","value":8849,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6871,"base":12},"right_expr":{"type":"numeric_atoms","value":5868,"base":12}}},"used_operators":["9HNa5Wba9A","Ph9nP6C5qx","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸5654500","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4457","layer":2},{"info":"number node, value=8849","layer":2},{"info":"compute binary expreesion, left_input=4457, right_input=8849, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8376","layer":1},{"info":"number node, value=6871","layer":2},{"info":"number node, value=5868","layer":2},{"info":"compute binary expreesion, left_input=6871, right_input=5868, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1974","layer":1},{"info":"compute binary expreesion, left_input=8376, right_input=1974, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=16534224","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸26B5≧⫂∧⫖↰⪸5155*⫖↰⪸3B87⩷∴⫖↰⪸3490=⫖↰⪸5654500","reverse_text":"⫖↰⪸5654500=⫖↰⪸26B5≧⫂∧⫖↰⪸5155*⫖↰⪸3B87⩷∴⫖↰⪸3490","cot":[{"info":"⫖↰⪸26B5≧⫂∧⫖↰⪸5155=⫖↰⪸4A20","layer":1},{"info":"⫖↰⪸3B87⩷∴⫖↰⪸3490=⫖↰⪸1186","layer":1},{"info":"⫖↰⪸4A20*⫖↰⪸1186=⫖↰⪸5654500","layer":0}]}
+{"id":78,"expression_no_base_symbol":"(↔$2237$)⨳⩥⨓$1268$≎⊠⪸$4426$","expression":"(↔⫖↰⪸1365)⨳⩥⨓⫖↰⪸898≎⊠⪸⫖↰⪸268A","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":280,"operation_count":3,"complexity_ratio":93.33333333333333,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2237,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1268,"base":12},"right_expr":{"type":"numeric_atoms","value":4426,"base":12}}},"used_operators":["nCS4ZIUYfx","ruOEQAzv1W","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫖↰⪸13AABB","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2237","layer":2},{"info":"compute unary expreesion, input=2237, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1964","layer":1},{"info":"number node, value=1268","layer":2},{"info":"number node, value=4426","layer":2},{"info":"compute binary expreesion, left_input=1268, right_input=4426, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=327939","layer":1},{"info":"compute binary expreesion, left_input=-1964, right_input=327939, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=329903","layer":0}],"base":12,"result_base":12,"text":"(↔⫖↰⪸1365)⨳⩥⨓⫖↰⪸898≎⊠⪸⫖↰⪸268A=⫖↰⪸13AABB","reverse_text":"⫖↰⪸13AABB=(↔⫖↰⪸1365)⨳⩥⨓⫖↰⪸898≎⊠⪸⫖↰⪸268A","cot":[{"info":"↔���↰⪸1365=⫖↰⪸-1178","layer":1},{"info":"⫖↰⪸898≎⊠⪸⫖↰⪸268A=⫖↰⪸139943","layer":1},{"info":"⫖↰⪸-1178⨳⩥⨓⫖↰⪸139943=⫖↰⪸13AABB","layer":0}]}
+{"id":79,"expression_no_base_symbol":"(⩦⩻⨪$3408$)⩷∴(∥⊫$1212$)","expression":"(⩦⩻⨪⫖↰⪸1B80)⩷∴(∥⊫⫖↰⪸850)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3408,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1212,"base":12}}},"used_operators":["9FxExcQeMw","2td37pGCOC","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸1628","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3408","layer":2},{"info":"compute unary expreesion, input=3408, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3408","layer":1},{"info":"number node, value=1212","layer":2},{"info":"compute unary expreesion, input=1212, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2080","layer":1},{"info":"compute binary expreesion, left_input=3408, right_input=2080, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2624","layer":0}],"base":12,"result_base":12,"text":"(⩦⩻⨪⫖↰⪸1B80)⩷∴(∥⊫⫖↰⪸850)=⫖↰⪸1628","reverse_text":"⫖↰⪸1628=(⩦⩻⨪⫖↰⪸1B80)⩷∴(∥⊫⫖↰⪸850)","cot":[{"info":"⩦⩻⨪⫖↰⪸1B80=⫖↰⪸1B80","layer":1},{"info":"∥⊫⫖↰⪸850=⫖↰⪸1254","layer":1},{"info":"⫖↰⪸1B80⩷∴⫖↰⪸1254=⫖↰⪸1628","layer":0}]}
+{"id":80,"expression_no_base_symbol":"(⪲⇎$4770$)≎⊠⪸(-$3701$)","expression":"(⪲⇎⫖↰⪸2916)≎⊠⪸(-⫖↰⪸2185)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4770,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3701,"base":12}}},"used_operators":["bJkvcejdHO","XPYlsWDdGa","t8gj7n24qd"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4770","layer":2},{"info":"compute unary expreesion, input=4770, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9540","layer":1},{"info":"number node, value=3701","layer":2},{"info":"compute unary expreesion, input=3701, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3701","layer":1},{"info":"compute binary expreesion, left_input=9540, right_input=-3701, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⪲⇎⫖↰⪸2916)≎⊠⪸(-⫖↰⪸2185)=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⪲⇎⫖↰⪸2916)≎⊠⪸(-⫖↰⪸2185)","cot":[{"info":"⪲⇎⫖↰⪸2916=⫖↰⪸5630","layer":1},{"info":"-⫖↰⪸2185=⫖↰⪸-2185","layer":1},{"info":"⫖↰⪸5630≎⊠⪸⫖↰⪸-2185=⫖↰⪸57","layer":0}]}
+{"id":81,"expression_no_base_symbol":"(⪝⪂⫅$4522$)↺$2755$⋓$3456$","expression":"(⪝⪂⫅⫖↰⪸274A)↺⫖↰⪸1717⋓⫖↰⪸2000","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":165,"operation_count":3,"complexity_ratio":55.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4522,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2755,"base":12},"right_expr":{"type":"numeric_atoms","value":3456,"base":12}}},"used_operators":["7j4O788W3g","XTarYq4gQB","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4522","layer":2},{"info":"compute unary expreesion, input=4522, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-664734","layer":1},{"info":"number node, value=2755","layer":2},{"info":"number node, value=3456","layer":2},{"info":"compute binary expreesion, left_input=2755, right_input=3456, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-664734, right_input=0, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⪝⪂⫅⫖↰⪸274A)↺⫖↰⪸1717⋓⫖↰⪸2000=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⪝⪂⫅⫖↰⪸274A)↺⫖↰⪸1717⋓⫖↰⪸2000","cot":[{"info":"⪝⪂⫅⫖↰⪸274A=⫖↰⪸-280826","layer":1},{"info":"⫖↰⪸1717⋓⫖↰⪸2000=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-280826↺⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":82,"expression_no_base_symbol":"($4945$≭$1171$)⪘⫢($1524$⨎$2987$)","expression":"(⫖↰⪸2A41≭⫖↰⪸817)⪘⫢(⫖↰⪸A70⨎⫖↰⪸188B)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4945,"base":12},"right_expr":{"type":"numeric_atoms","value":1171,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1524,"base":12},"right_expr":{"type":"numeric_atoms","value":2987,"base":12}}},"used_operators":["oacrs7FA3X","rxpJgHHUmx","rJVOvQCfKK"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4945","layer":2},{"info":"number node, value=1171","layer":2},{"info":"compute binary expreesion, left_input=4945, right_input=1171, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1524","layer":2},{"info":"number node, value=2987","layer":2},{"info":"compute binary expreesion, left_input=1524, right_input=2987, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2987","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2987, 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":12,"result_base":12,"text":"(⫖↰⪸2A41≭⫖↰⪸817)⪘⫢(⫖↰⪸A70⨎⫖↰⪸188B)=NaN","reverse_text":"NaN=(⫖↰⪸2A41≭⫖↰⪸817)⪘⫢(⫖↰⪸A70⨎⫖↰⪸188B)","cot":[{"info":"⫖↰⪸2A41≭⫖↰⪸817=NaN","layer":1},{"info":"⫖↰⪸A70⨎⫖↰⪸188B=⫖↰⪸188B","layer":1},{"info":"NaN⪘⫢⫖↰⪸188B=NaN","layer":0}]}
+{"id":83,"expression_no_base_symbol":"($1302$%$1365$)↺(⋗⩬⋾$3783$)","expression":"(⫖↰⪸906%⫖↰⪸959)↺(⋗⩬⋾⫖↰⪸2233)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1302,"base":12},"right_expr":{"type":"numeric_atoms","value":1365,"base":12}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3783,"base":12}}},"used_operators":["7j4O788W3g","k8jYdgA6NY","DpFCA1CohY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-6699","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1302","layer":2},{"info":"number node, value=1365","layer":2},{"info":"compute binary expreesion, left_input=1302, right_input=1365, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1302","layer":1},{"info":"number node, value=3783","layer":2},{"info":"compute unary expreesion, input=3783, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-11349","layer":1},{"info":"compute binary expreesion, left_input=1302, right_input=-11349, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-11349","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸906%⫖↰⪸959)↺(⋗⩬⋾⫖↰⪸2233)=⫖↰⪸-6699","reverse_text":"⫖↰⪸-6699=(⫖↰⪸906%⫖↰⪸959)↺(⋗⩬⋾⫖↰⪸2233)","cot":[{"info":"⫖↰⪸906%⫖↰⪸959=⫖↰⪸906","layer":1},{"info":"⋗⩬⋾⫖↰⪸2233=⫖↰⪸-6699","layer":1},{"info":"⫖↰⪸906↺⫖↰⪸-6699=⫖↰⪸-6699","layer":0}]}
+{"id":84,"expression_no_base_symbol":"($5578$⇼⇔∾$1824$)⪄$3921$⪮%⊝$1427$","expression":"(⫖↰⪸328A⇼⇔∾⫖↰⪸1080)⪄⫖↰⪸2329⪮%⊝⫖↰⪸9AB","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":104,"operation_count":3,"complexity_ratio":34.666666666666664,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5578,"base":12},"right_expr":{"type":"numeric_atoms","value":1824,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3921,"base":12},"right_expr":{"type":"numeric_atoms","value":1427,"base":12}}},"used_operators":["SUmda5xLS4","tifHPKVTfV","IWmyXbctLI"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5578","layer":2},{"info":"number node, value=1824","layer":2},{"info":"compute binary expreesion, left_input=5578, right_input=1824, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3754","layer":1},{"info":"number node, value=3921","layer":2},{"info":"number node, value=1427","layer":2},{"info":"compute binary expreesion, left_input=3921, right_input=1427, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8158","layer":1},{"info":"compute binary expreesion, left_input=-3754, right_input=8158, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸328A⇼⇔∾⫖↰⪸1080)⪄⫖↰⪸2329⪮%⊝⫖↰⪸9AB=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=(⫖↰⪸328A⇼⇔∾⫖↰⪸1080)⪄⫖↰⪸2329⪮%⊝⫖↰⪸9AB","cot":[{"info":"⫖↰⪸328A⇼⇔∾⫖↰⪸1080=⫖↰⪸-220A","layer":1},{"info":"⫖↰⪸2329⪮%⊝⫖↰⪸9AB=⫖↰⪸487A","layer":1},{"info":"⫖↰⪸-220A⪄⫖↰⪸487A=⫖↰⪸2377","layer":0}]}
+{"id":85,"expression_no_base_symbol":"($1841$⋥≓≎$1345$)⨰($3534$⪒$4212$)","expression":"(⫖↰⪸1095⋥≓≎⫖↰⪸941)⨰(⫖↰⪸2066⪒⫖↰⪸2530)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1841,"base":12},"right_expr":{"type":"numeric_atoms","value":1345,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3534,"base":12},"right_expr":{"type":"numeric_atoms","value":4212,"base":12}}},"used_operators":["eewbuw0ToL","Qy55tPpLXF","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸4BBA","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1841","layer":2},{"info":"number node, value=1345","layer":2},{"info":"compute binary expreesion, left_input=1841, right_input=1345, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=882","layer":1},{"info":"number node, value=3534","layer":2},{"info":"number node, value=4212","layer":2},{"info":"compute binary expreesion, left_input=3534, right_input=4212, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7746","layer":1},{"info":"compute binary expreesion, left_input=882, right_input=-7746, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=8638","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1095⋥≓≎⫖↰⪸941)⨰(⫖↰⪸2066⪒⫖↰⪸2530)=⫖↰⪸4BBA","reverse_text":"⫖↰⪸4BBA=(⫖↰⪸1095⋥≓≎⫖↰⪸941)⨰(⫖↰⪸2066⪒⫖↰⪸2530)","cot":[{"info":"⫖↰⪸1095⋥≓≎⫖↰⪸941=⫖↰⪸616","layer":1},{"info":"⫖↰⪸2066⪒⫖↰⪸2530=⫖↰⪸-4596","layer":1},{"info":"⫖↰⪸616⨰⫖↰⪸-4596=⫖↰⪸4BBA","layer":0}]}
+{"id":86,"expression_no_base_symbol":"($4324$%$1522$)↺($1321$⋫)","expression":"(⫖↰⪸2604%⫖↰⪸A6A)↺(⫖↰⪸921⋫)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1325,"operation_count":3,"complexity_ratio":441.6666666666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4324,"base":12},"right_expr":{"type":"numeric_atoms","value":1522,"base":12}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1321,"base":12}}},"used_operators":["7j4O788W3g","k8jYdgA6NY","JL8yIekQnl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x"],"result":"⫖↰⪸921","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4324","layer":2},{"info":"number node, value=1522","layer":2},{"info":"compute binary expreesion, left_input=4324, right_input=1522, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1280","layer":1},{"info":"number node, value=1321","layer":2},{"info":"compute unary expreesion, input=1321, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1321","layer":1},{"info":"compute binary expreesion, left_input=1280, right_input=1321, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1321","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2604%⫖↰⪸A6A)↺(⫖↰⪸921⋫)=⫖↰⪸921","reverse_text":"⫖↰⪸921=(⫖↰⪸2604%⫖↰⪸A6A)↺(⫖↰⪸921⋫)","cot":[{"info":"⫖↰⪸2604%⫖↰⪸A6A=⫖↰⪸8A8","layer":1},{"info":"⫖↰⪸921⋫=⫖↰⪸921","layer":1},{"info":"⫖↰⪸8A8↺⫖↰⪸921=⫖↰⪸921","layer":0}]}
+{"id":87,"expression_no_base_symbol":"(∂$1492$)↬($2305$⪒$1067$)","expression":"(∂⫖↰⪸A44)↬(⫖↰⪸1401⪒⫖↰⪸74B)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1492,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2305,"base":12},"right_expr":{"type":"numeric_atoms","value":1067,"base":12}}},"used_operators":["B5M0gjZbta","Uaa54Peajs","f6k1SAg4EE"],"dependent_operators":["rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1492","layer":2},{"info":"compute unary expreesion, input=1492, 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=2305","layer":2},{"info":"number node, value=1067","layer":2},{"info":"compute binary expreesion, left_input=2305, right_input=1067, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3372","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3372, 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":12,"result_base":12,"text":"(∂⫖↰⪸A44)↬(⫖↰⪸1401⪒⫖↰⪸74B)=NaN","reverse_text":"NaN=(∂⫖↰⪸A44)↬(⫖↰⪸1401⪒⫖↰⪸74B)","cot":[{"info":"∂⫖↰⪸A44=NaN","layer":1},{"info":"⫖↰⪸1401⪒⫖↰⪸74B=⫖↰⪸-1B50","layer":1},{"info":"NaN↬⫖↰⪸-1B50=NaN","layer":0}]}
+{"id":88,"expression_no_base_symbol":"($3981$-$4893$)≭($2955$+⇶⊼$3771$)","expression":"(⫖↰⪸2379-⫖↰⪸29B9)≭(⫖↰⪸1863+⇶⊼⫖↰⪸2223)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3981,"base":12},"right_expr":{"type":"numeric_atoms","value":4893,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2955,"base":12},"right_expr":{"type":"numeric_atoms","value":3771,"base":12}}},"used_operators":["rxpJgHHUmx","rysDP5nf3Z","TpPTUOHfaN"],"dependent_operators":["AHs5Up7iyr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3981","layer":2},{"info":"number node, value=4893","layer":2},{"info":"compute binary expreesion, left_input=3981, right_input=4893, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-912","layer":1},{"info":"number node, value=2955","layer":2},{"info":"number node, value=3771","layer":2},{"info":"compute binary expreesion, left_input=2955, right_input=3771, 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=-912, 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":12,"result_base":12,"text":"(⫖↰⪸2379-⫖↰⪸29B9)≭(⫖↰⪸1863+⇶⊼⫖↰⪸2223)=NaN","reverse_text":"NaN=(⫖↰⪸2379-⫖↰⪸29B9)≭(⫖↰⪸1863+⇶⊼⫖↰⪸2223)","cot":[{"info":"⫖↰⪸2379-⫖↰⪸29B9=⫖↰⪸-640","layer":1},{"info":"⫖↰⪸1863+⇶⊼⫖↰⪸2223=NaN","layer":1},{"info":"⫖↰⪸-640≭NaN=NaN","layer":0}]}
+{"id":89,"expression_no_base_symbol":"($1114$≣⋋)⪠⩆⊳","expression":"(⫖↰⪸78A≣⋋)⪠⩆⊳","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":520,"operation_count":2,"complexity_ratio":260.0,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1114,"base":12}}},"used_operators":["JLbD19bQDL","Tcnh7f0tEr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1114","layer":2},{"info":"compute unary expreesion, input=1114, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸78A≣⋋)⪠⩆⊳=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸78A≣⋋)⪠⩆⊳","cot":[{"info":"⫖↰⪸78A≣⋋=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⪠⩆⊳=⫖↰⪸0","layer":0}]}
+{"id":90,"expression_no_base_symbol":"$3780$⋝⋈⪟$5025$⪨≂$5799$⊴$2005$","expression":"⫖↰⪸2230⋝⋈⪟⫖↰⪸2AA9⪨≂⫖↰⪸3433⊴⫖↰⪸11B1","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4041,"operation_count":3,"complexity_ratio":1347.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3780,"base":12},"right_expr":{"type":"numeric_atoms","value":5025,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5799,"base":12},"right_expr":{"type":"numeric_atoms","value":2005,"base":12}}},"used_operators":["sdazOOVcIp","2DDjHMKMc0","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3780","layer":2},{"info":"number node, value=5025","layer":2},{"info":"compute binary expreesion, left_input=3780, right_input=5025, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3780","layer":1},{"info":"number node, value=5799","layer":2},{"info":"number node, value=2005","layer":2},{"info":"compute binary expreesion, left_input=5799, right_input=2005, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3780, 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":12,"result_base":12,"text":"⫖↰⪸2230⋝⋈⪟⫖↰⪸2AA9⪨≂⫖↰⪸3433⊴⫖↰⪸11B1=NaN","reverse_text":"NaN=⫖↰⪸2230⋝⋈⪟⫖↰⪸2AA9⪨≂⫖↰⪸3433⊴⫖↰⪸11B1","cot":[{"info":"⫖↰⪸2230⋝⋈⪟⫖↰⪸2AA9=⫖↰⪸2230","layer":1},{"info":"⫖↰⪸3433⊴⫖↰⪸11B1=NaN","layer":1},{"info":"⫖↰⪸2230⪨≂NaN=NaN","layer":0}]}
+{"id":91,"expression_no_base_symbol":"⨰⫟⨤($5709$∑⇟⊟$4759$)","expression":"⨰⫟⨤(⫖↰⪸3379∑⇟⊟⫖↰⪸2907)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5709,"base":12},"right_expr":{"type":"numeric_atoms","value":4759,"base":12}}},"used_operators":["Tw270M8GLb","U7g4x0WXJJ"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5709","layer":2},{"info":"number node, value=4759","layer":2},{"info":"compute binary expreesion, left_input=5709, right_input=4759, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨰⫟⨤(⫖↰⪸3379∑⇟⊟⫖↰⪸2907)=NaN","reverse_text":"NaN=⨰⫟⨤(⫖↰⪸3379∑⇟⊟⫖↰⪸2907)","cot":[{"info":"⫖↰⪸3379∑⇟⊟⫖↰⪸2907=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
+{"id":92,"expression_no_base_symbol":"-$3285$↙$1706$","expression":"-⫖↰⪸1A99↙⫖↰⪸BA2","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1710,"operation_count":2,"complexity_ratio":855.0,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3285,"base":12},"right_expr":{"type":"numeric_atoms","value":1706,"base":12}}},"used_operators":["t8gj7n24qd","yyfyN0ffXY"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY"],"result":"⫖↰⪸2B66","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3285","layer":2},{"info":"number node, value=1706","layer":2},{"info":"compute binary expreesion, left_input=3285, right_input=1706, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5118","layer":1},{"info":"compute unary expreesion, input=-5118, op_id = t8gj7n24qd, unary_op_definition = 'None', output=5118","layer":0}],"base":12,"result_base":12,"text":"-⫖↰⪸1A99↙⫖↰⪸BA2=⫖↰⪸2B66","reverse_text":"⫖↰⪸2B66=-⫖↰⪸1A99↙⫖↰⪸BA2","cot":[{"info":"⫖↰⪸1A99↙⫖↰⪸BA2=⫖↰⪸-2B66","layer":1},{"info":"-⫖↰⪸-2B66=⫖↰⪸2B66","layer":0}]}
+{"id":93,"expression_no_base_symbol":"($1372$⫡⨏$4818$)∑⇟⊟$3016$⨟⋌⩍$1076$","expression":"(⫖↰⪸964⫡⨏⫖↰⪸2956)∑⇟⊟⫖↰⪸18B4⨟⋌⩍⫖↰⪸758","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1372,"base":12},"right_expr":{"type":"numeric_atoms","value":4818,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3016,"base":12},"right_expr":{"type":"numeric_atoms","value":1076,"base":12}}},"used_operators":["U7g4x0WXJJ","QMFrweE19q","rGHVDoGpnC"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1372","layer":2},{"info":"number node, value=4818","layer":2},{"info":"compute binary expreesion, left_input=1372, right_input=4818, 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=17279","layer":1},{"info":"number node, value=3016","layer":2},{"info":"number node, value=1076","layer":2},{"info":"compute binary expreesion, left_input=3016, right_input=1076, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=17279, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸964⫡⨏⫖↰⪸2956)∑⇟⊟⫖↰⪸18B4⨟⋌⩍⫖↰⪸758=NaN","reverse_text":"NaN=(⫖↰⪸964⫡⨏⫖↰⪸2956)∑⇟⊟⫖↰⪸18B4⨟⋌⩍⫖↰⪸758","cot":[{"info":"⫖↰⪸964⫡⨏⫖↰⪸2956=⫖↰⪸9BBB","layer":1},{"info":"⫖↰⪸18B4⨟⋌⩍⫖↰⪸758=NaN","layer":1},{"info":"⫖↰⪸9BBB∑⇟⊟NaN=NaN","layer":0}]}
+{"id":94,"expression_no_base_symbol":"($3174$⋷$2917$)⪢($2563$⨸⪁$1098$)","expression":"(⫖↰⪸1A06⋷⫖↰⪸1831)⪢(⫖↰⪸1597⨸⪁⫖↰⪸776)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7328,"operation_count":3,"complexity_ratio":2442.6666666666665,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3174,"base":12},"right_expr":{"type":"numeric_atoms","value":2917,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2563,"base":12},"right_expr":{"type":"numeric_atoms","value":1098,"base":12}}},"used_operators":["dWAJyo7jo9","23Mk6UjR3U","g55IO6H4Gj"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3174","layer":2},{"info":"number node, value=2917","layer":2},{"info":"compute binary expreesion, left_input=3174, right_input=2917, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2660","layer":1},{"info":"number node, value=2563","layer":2},{"info":"number node, value=1098","layer":2},{"info":"compute binary expreesion, left_input=2563, right_input=1098, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7322","layer":1},{"info":"compute binary expreesion, left_input=2660, right_input=7322, 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":12,"result_base":12,"text":"(⫖↰⪸1A06⋷⫖↰⪸1831)⪢(⫖↰⪸1597⨸⪁⫖↰⪸776)=NaN","reverse_text":"NaN=(⫖↰⪸1A06⋷⫖↰⪸1831)⪢(⫖↰⪸1597⨸⪁⫖↰⪸776)","cot":[{"info":"⫖↰⪸1A06⋷⫖↰⪸1831=⫖↰⪸1658","layer":1},{"info":"⫖↰⪸1597⨸⪁⫖↰⪸776=⫖↰⪸42A2","layer":1},{"info":"⫖↰⪸1658⪢⫖↰⪸42A2=NaN","layer":0}]}
+{"id":95,"expression_no_base_symbol":"$2308$⩨$7042$%$5191$↙$2268$","expression":"⫖↰⪸1404⩨⫖↰⪸40AA%⫖↰⪸3007↙⫖↰⪸1390","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2278,"operation_count":3,"complexity_ratio":759.3333333333334,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2308,"base":12},"right_expr":{"type":"numeric_atoms","value":7042,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5191,"base":12},"right_expr":{"type":"numeric_atoms","value":2268,"base":12}}},"used_operators":["k8jYdgA6NY","2DlMacCsIx","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY"],"result":"⫖↰⪸-9","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2308","layer":2},{"info":"number node, value=7042","layer":2},{"info":"compute binary expreesion, left_input=2308, right_input=7042, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":1},{"info":"number node, value=5191","layer":2},{"info":"number node, value=2268","layer":2},{"info":"compute binary expreesion, left_input=5191, right_input=2268, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6804","layer":1},{"info":"compute binary expreesion, left_input=-9, right_input=-6804, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-9","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1404⩨⫖↰⪸40AA%⫖↰⪸3007↙⫖↰⪸1390=⫖↰⪸-9","reverse_text":"⫖↰⪸-9=⫖↰⪸1404⩨⫖↰⪸40AA%⫖↰⪸3007↙⫖↰⪸1390","cot":[{"info":"⫖↰⪸1404⩨⫖↰⪸40AA=⫖↰⪸-9","layer":1},{"info":"⫖↰⪸3007↙⫖↰⪸1390=⫖↰⪸-3B30","layer":1},{"info":"⫖↰⪸-9%⫖↰⪸-3B30=⫖↰⪸-9","layer":0}]}
+{"id":96,"expression_no_base_symbol":"$1017$⨐⩸⫘$3958$⨳⩥⨓$2302$∼$1779$","expression":"⫖↰⪸709⨐⩸⫘⫖↰⪸235A⨳⩥⨓⫖↰⪸13BA∼⫖↰⪸1043","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":51,"operation_count":3,"complexity_ratio":17.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1017,"base":12},"right_expr":{"type":"numeric_atoms","value":3958,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2302,"base":12},"right_expr":{"type":"numeric_atoms","value":1779,"base":12}}},"used_operators":["nCS4ZIUYfx","fu6greOZ01","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1017","layer":2},{"info":"number node, value=3958","layer":2},{"info":"compute binary expreesion, left_input=1017, right_input=3958, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2302","layer":2},{"info":"number node, value=1779","layer":2},{"info":"compute binary expreesion, left_input=2302, right_input=1779, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸709⨐⩸⫘⫖↰⪸235A⨳⩥⨓⫖↰⪸13BA∼⫖↰⪸1043=NaN","reverse_text":"NaN=⫖↰⪸709⨐⩸⫘⫖↰⪸235A⨳⩥⨓⫖↰⪸13BA∼⫖↰⪸1043","cot":[{"info":"⫖↰⪸709⨐⩸⫘⫖↰⪸235A=NaN","layer":1},{"info":"⫖↰⪸13BA∼⫖↰⪸1043=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
+{"id":97,"expression_no_base_symbol":"($3403$⪢$4487$)⨟⋌⩍($1849$≦≮≮)","expression":"(⫖↰⪸1B77⪢⫖↰⪸271B)⨟⋌⩍(⫖↰⪸10A1≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4491,"operation_count":3,"complexity_ratio":1497.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3403,"base":12},"right_expr":{"type":"numeric_atoms","value":4487,"base":12}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1849,"base":12}}},"used_operators":["rGHVDoGpnC","dWAJyo7jo9","D4vGDi5EA2"],"dependent_operators":["Tcnh7f0tEr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3403","layer":2},{"info":"number node, value=4487","layer":2},{"info":"compute binary expreesion, left_input=3403, right_input=4487, 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=1849","layer":2},{"info":"compute unary expreesion, input=1849, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5547","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5547, 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":12,"result_base":12,"text":"(⫖↰⪸1B77⪢⫖↰⪸271B)⨟⋌⩍(⫖↰⪸10A1≦≮≮)=NaN","reverse_text":"NaN=(⫖↰⪸1B77⪢⫖↰⪸271B)⨟⋌⩍(⫖↰⪸10A1≦≮≮)","cot":[{"info":"⫖↰⪸1B77⪢⫖↰⪸271B=NaN","layer":1},{"info":"⫖↰⪸10A1≦≮≮=⫖↰⪸-3263","layer":1},{"info":"NaN⨟⋌⩍⫖↰⪸-3263=NaN","layer":0}]}
+{"id":98,"expression_no_base_symbol":"($4306$⪒$4309$)⨸⪁(≉$2134$)","expression":"(⫖↰⪸25AA⪒⫖↰⪸25B1)⨸⪁(≉⫖↰⪸129A)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4306,"base":12},"right_expr":{"type":"numeric_atoms","value":4309,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2134,"base":12}}},"used_operators":["g55IO6H4Gj","f6k1SAg4EE","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-6A78","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4306","layer":2},{"info":"number node, value=4309","layer":2},{"info":"compute binary expreesion, left_input=4306, right_input=4309, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8615","layer":1},{"info":"number node, value=2134","layer":2},{"info":"compute unary expreesion, input=2134, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2665","layer":1},{"info":"compute binary expreesion, left_input=-8615, right_input=2665, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-11900","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸25AA⪒⫖↰⪸25B1)⨸⪁(≉⫖↰⪸129A)=⫖↰⪸-6A78","reverse_text":"⫖↰⪸-6A78=(⫖↰⪸25AA⪒⫖↰⪸25B1)⨸⪁(≉⫖↰⪸129A)","cot":[{"info":"⫖↰⪸25AA⪒⫖↰⪸25B1=⫖↰⪸-4B9B","layer":1},{"info":"≉⫖↰⪸129A=⫖↰⪸1661","layer":1},{"info":"⫖↰⪸-4B9B⨸⪁⫖↰⪸1661=⫖↰⪸-6A78","layer":0}]}
+{"id":99,"expression_no_base_symbol":"$1625$+⇶⊼$3976$≋⫹","expression":"⫖↰⪸B35+⇶⊼⫖↰⪸2374≋⫹","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1625,"base":12},"right_expr":{"type":"numeric_atoms","value":3976,"base":12}}},"used_operators":["N41Kp7NANJ","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1625","layer":2},{"info":"number node, value=3976","layer":2},{"info":"compute binary expreesion, left_input=1625, right_input=3976, 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸B35+⇶⊼⫖↰⪸2374≋⫹=NaN","reverse_text":"NaN=⫖↰⪸B35+⇶⊼⫖↰⪸2374≋⫹","cot":[{"info":"⫖↰⪸B35+⇶⊼⫖↰⪸2374=NaN","layer":1},{"info":"NaN≋⫹=NaN","layer":0}]}
+{"id":100,"expression_no_base_symbol":"↣≠⋷$3229$≹⇙⪍$1923$","expression":"↣≠⋷⫖↰⪸1A51≹⇙⪍⫖↰⪸1143","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3229,"base":12},"right_expr":{"type":"numeric_atoms","value":1923,"base":12}}},"used_operators":["Asc51vEJeQ","AHs5Up7iyr"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3229","layer":2},{"info":"number node, value=1923","layer":2},{"info":"compute binary expreesion, left_input=3229, right_input=1923, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↣≠⋷⫖↰⪸1A51≹⇙⪍⫖↰⪸1143=NaN","reverse_text":"NaN=↣≠⋷⫖↰⪸1A51≹⇙⪍⫖↰⪸1143","cot":[{"info":"⫖↰⪸1A51≹⇙⪍⫖↰⪸1143=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
+{"id":101,"expression_no_base_symbol":"($2221$⪄$1068$)⊠≄⫣","expression":"(⫖↰⪸1351⪄⫖↰⪸750)⊠≄⫣","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":98,"operation_count":2,"complexity_ratio":49.0,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2221,"base":12},"right_expr":{"type":"numeric_atoms","value":1068,"base":12}}},"used_operators":["DIvbN7qnHd","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2221","layer":2},{"info":"number node, value=1068","layer":2},{"info":"compute binary expreesion, left_input=2221, right_input=1068, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-329069","layer":1},{"info":"compute unary expreesion, input=-329069, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1351⪄⫖↰⪸750)⊠≄⫣=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸1351⪄⫖↰⪸750)⊠≄⫣","cot":[{"info":"⫖↰⪸1351⪄⫖↰⪸750=⫖↰⪸-13A525","layer":1},{"info":"⫖↰⪸-13A525⊠≄⫣=⫖↰⪸0","layer":0}]}
+{"id":102,"expression_no_base_symbol":"($1941$≋⫹)∲⫓($4587$⋷$1639$)","expression":"(⫖↰⪸1159≋⫹)∲⫓(⫖↰⪸27A3⋷⫖↰⪸B47)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1941,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4587,"base":12},"right_expr":{"type":"numeric_atoms","value":1639,"base":12}}},"used_operators":["i8ToyICDmI","N41Kp7NANJ","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-22B6","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1941","layer":2},{"info":"compute unary expreesion, input=1941, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3882","layer":1},{"info":"number node, value=4587","layer":2},{"info":"number node, value=1639","layer":2},{"info":"compute binary expreesion, left_input=4587, right_input=1639, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1309","layer":1},{"info":"compute binary expreesion, left_input=-3882, right_input=-1309, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-3882","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1159≋⫹)∲⫓(⫖↰⪸27A3⋷⫖↰⪸B47)=⫖↰⪸-22B6","reverse_text":"⫖↰⪸-22B6=(⫖↰⪸1159≋⫹)∲⫓(⫖↰⪸27A3⋷⫖↰⪸B47)","cot":[{"info":"⫖↰⪸1159≋⫹=⫖↰⪸-22B6","layer":1},{"info":"⫖↰⪸27A3⋷⫖↰⪸B47=⫖↰⪸-911","layer":1},{"info":"⫖↰⪸-22B6∲⫓⫖↰⪸-911=⫖↰⪸-22B6","layer":0}]}
+{"id":103,"expression_no_base_symbol":"($1440$⇷$4160$)⪢($4966$⋥≓≎$9310$)","expression":"(⫖↰⪸A00⇷⫖↰⪸24A8)⪢(⫖↰⪸2A5A⋥≓≎⫖↰⪸547A)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33857,"operation_count":3,"complexity_ratio":11285.666666666666,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1440,"base":12},"right_expr":{"type":"numeric_atoms","value":4160,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4966,"base":12},"right_expr":{"type":"numeric_atoms","value":9310,"base":12}}},"used_operators":["dWAJyo7jo9","mp7IySMOzn","Qy55tPpLXF"],"dependent_operators":["k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1440","layer":2},{"info":"number node, value=4160","layer":2},{"info":"compute binary expreesion, left_input=1440, right_input=4160, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8320","layer":1},{"info":"number node, value=4966","layer":2},{"info":"number node, value=9310","layer":2},{"info":"compute binary expreesion, left_input=4966, right_input=9310, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=13687","layer":1},{"info":"compute binary expreesion, left_input=8320, right_input=13687, 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":12,"result_base":12,"text":"(⫖↰⪸A00⇷⫖↰⪸24A8)⪢(⫖↰⪸2A5A⋥≓≎⫖↰⪸547A)=NaN","reverse_text":"NaN=(⫖↰⪸A00⇷⫖↰⪸24A8)⪢(⫖↰⪸2A5A⋥≓≎⫖↰⪸547A)","cot":[{"info":"⫖↰⪸A00⇷⫖↰⪸24A8=⫖↰⪸4994","layer":1},{"info":"⫖↰⪸2A5A⋥≓≎⫖↰⪸547A=⫖↰⪸7B07","layer":1},{"info":"⫖↰⪸4994⪢⫖↰⪸7B07=NaN","layer":0}]}
+{"id":104,"expression_no_base_symbol":"$1421$%$3387$/($1292$⋷$1170$)","expression":"⫖↰⪸9A5%⫖↰⪸1B63/(⫖↰⪸8B8⋷⫖↰⪸816)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1421,"base":12},"right_expr":{"type":"numeric_atoms","value":3387,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1292,"base":12},"right_expr":{"type":"numeric_atoms","value":1170,"base":12}}},"used_operators":["XhwjNDsVaA","k8jYdgA6NY","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸1","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1421","layer":2},{"info":"number node, value=3387","layer":2},{"info":"compute binary expreesion, left_input=1421, right_input=3387, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1421","layer":1},{"info":"number node, value=1292","layer":2},{"info":"number node, value=1170","layer":2},{"info":"compute binary expreesion, left_input=1292, right_input=1170, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1048","layer":1},{"info":"compute binary expreesion, left_input=1421, right_input=1048, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸9A5%⫖↰⪸1B63/(⫖↰⪸8B8⋷⫖↰⪸816)=⫖↰⪸1","reverse_text":"⫖↰⪸1=⫖↰⪸9A5%⫖↰⪸1B63/(⫖↰⪸8B8⋷⫖↰⪸816)","cot":[{"info":"⫖↰⪸9A5%⫖↰⪸1B63=⫖↰⪸9A5","layer":1},{"info":"⫖↰⪸8B8⋷⫖↰⪸816=⫖↰⪸734","layer":1},{"info":"⫖↰⪸9A5/⫖↰⪸734=⫖↰⪸1","layer":0}]}
+{"id":105,"expression_no_base_symbol":"⨞⊢($2054$⨵⪆$1191$)","expression":"⨞⊢(⫖↰⪸1232⨵⪆⫖↰⪸833)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2054,"base":12},"right_expr":{"type":"numeric_atoms","value":1191,"base":12}}},"used_operators":["xUOZtlo3hN","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-23A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2054","layer":2},{"info":"number node, value=1191","layer":2},{"info":"compute binary expreesion, left_input=2054, right_input=1191, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-334","layer":0}],"base":12,"result_base":12,"text":"⨞⊢(⫖↰⪸1232⨵⪆⫖↰⪸833)=⫖↰⪸-23A","reverse_text":"⫖↰⪸-23A=⨞⊢(⫖↰⪸1232⨵⪆⫖↰⪸833)","cot":[{"info":"⫖↰⪸1232⨵⪆⫖↰⪸833=⫖↰⪸114","layer":1},{"info":"⨞⊢⫖↰⪸114=⫖↰⪸-23A","layer":0}]}
+{"id":106,"expression_no_base_symbol":"��⩳↩$2778$⪢$2390$","expression":"⊄⩳↩⫖↰⪸1736⪢⫖↰⪸1472","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3056,"operation_count":2,"complexity_ratio":1528.0,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2778,"base":12},"right_expr":{"type":"numeric_atoms","value":2390,"base":12}}},"used_operators":["8w2t5hMYqp","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2778","layer":2},{"info":"number node, value=2390","layer":2},{"info":"compute binary expreesion, left_input=2778, right_input=2390, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊄⩳↩⫖↰⪸1736⪢⫖↰⪸1472=NaN","reverse_text":"NaN=⊄⩳↩⫖↰⪸1736⪢⫖↰⪸1472","cot":[{"info":"⫖↰⪸1736⪢⫖↰⪸1472=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
+{"id":107,"expression_no_base_symbol":"$3711$+⇶⊼$1034$≭($2437$⋷$1364$)","expression":"⫖↰⪸2193+⇶⊼⫖↰⪸722≭(⫖↰⪸14B1⋷⫖↰⪸958)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3711,"base":12},"right_expr":{"type":"numeric_atoms","value":1034,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2437,"base":12},"right_expr":{"type":"numeric_atoms","value":1364,"base":12}}},"used_operators":["rxpJgHHUmx","TpPTUOHfaN","23Mk6UjR3U"],"dependent_operators":["AHs5Up7iyr","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3711","layer":2},{"info":"number node, value=1034","layer":2},{"info":"compute binary expreesion, left_input=3711, right_input=1034, 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=2437","layer":2},{"info":"number node, value=1364","layer":2},{"info":"compute binary expreesion, left_input=2437, right_input=1364, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=291","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=291, 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":12,"result_base":12,"text":"⫖↰⪸2193+⇶⊼⫖↰⪸722≭(⫖↰⪸14B1⋷⫖↰⪸958)=NaN","reverse_text":"NaN=⫖↰⪸2193+⇶⊼⫖↰⪸722≭(⫖↰⪸14B1⋷⫖↰⪸958)","cot":[{"info":"⫖↰⪸2193+⇶⊼⫖↰⪸722=NaN","layer":1},{"info":"⫖↰⪸14B1⋷⫖↰⪸958=⫖↰⪸203","layer":1},{"info":"NaN≭⫖↰⪸203=NaN","layer":0}]}
+{"id":108,"expression_no_base_symbol":"$2345$⇼⇔∾$1461$≋⫹","expression":"⫖↰⪸1435⇼⇔∾⫖↰⪸A19≋⫹","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2345,"base":12},"right_expr":{"type":"numeric_atoms","value":1461,"base":12}}},"used_operators":["N41Kp7NANJ","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸1034","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2345","layer":2},{"info":"number node, value=1461","layer":2},{"info":"compute binary expreesion, left_input=2345, right_input=1461, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-884","layer":1},{"info":"compute unary expreesion, input=-884, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=1768","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1435⇼⇔∾⫖↰⪸A19≋⫹=⫖↰⪸1034","reverse_text":"⫖↰⪸1034=⫖↰⪸1435⇼⇔∾⫖↰⪸A19≋⫹","cot":[{"info":"⫖↰⪸1435⇼⇔∾⫖↰⪸A19=⫖↰⪸-618","layer":1},{"info":"⫖↰⪸-618≋⫹=⫖↰⪸1034","layer":0}]}
+{"id":109,"expression_no_base_symbol":"($1537$⋝⋈⪟$1025$)≹⇙⪍($5606$↙$6869$)","expression":"(⫖↰⪸A81⋝⋈⪟⫖↰⪸715)≹⇙���(⫖↰⪸32B2↙⫖↰⪸3B85)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6876,"operation_count":3,"complexity_ratio":2292.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1537,"base":12},"right_expr":{"type":"numeric_atoms","value":1025,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5606,"base":12},"right_expr":{"type":"numeric_atoms","value":6869,"base":12}}},"used_operators":["AHs5Up7iyr","2DDjHMKMc0","yyfyN0ffXY"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1537","layer":2},{"info":"number node, value=1025","layer":2},{"info":"compute binary expreesion, left_input=1537, right_input=1025, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1537","layer":1},{"info":"number node, value=5606","layer":2},{"info":"number node, value=6869","layer":2},{"info":"compute binary expreesion, left_input=5606, right_input=6869, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-20607","layer":1},{"info":"compute binary expreesion, left_input=1537, right_input=-20607, 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":12,"result_base":12,"text":"(⫖↰⪸A81⋝⋈⪟⫖↰⪸715)≹⇙⪍(⫖↰⪸32B2↙⫖↰⪸3B85)=NaN","reverse_text":"NaN=(⫖↰⪸A81⋝⋈⪟⫖↰⪸715)≹⇙⪍(⫖↰⪸32B2↙⫖↰⪸3B85)","cot":[{"info":"⫖↰⪸A81⋝⋈⪟⫖↰⪸715=⫖↰⪸A81","layer":1},{"info":"⫖↰⪸32B2↙⫖↰⪸3B85=⫖↰⪸-BB13","layer":1},{"info":"⫖↰⪸A81≹⇙⪍⫖↰⪸-BB13=NaN","layer":0}]}
+{"id":110,"expression_no_base_symbol":"($1209$⫩⊇)⨟⋌⩍($2300$↺$1132$)","expression":"(⫖↰⪸849⫩⊇)⨟⋌⩍(⫖↰⪸13B8↺⫖↰⪸7A4)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1209,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2300,"base":12},"right_expr":{"type":"numeric_atoms","value":1132,"base":12}}},"used_operators":["rGHVDoGpnC","BjRHVeLaeN","7j4O788W3g"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1209","layer":2},{"info":"compute unary expreesion, input=1209, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1167","layer":1},{"info":"number node, value=2300","layer":2},{"info":"number node, value=1132","layer":2},{"info":"compute binary expreesion, left_input=2300, right_input=1132, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1132","layer":1},{"info":"compute binary expreesion, left_input=-1167, right_input=1132, 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":12,"result_base":12,"text":"(⫖↰⪸849⫩⊇)⨟⋌⩍(⫖↰⪸13B8↺⫖↰⪸7A4)=NaN","reverse_text":"NaN=(⫖↰⪸849⫩⊇)⨟⋌⩍(⫖↰⪸13B8↺⫖↰⪸7A4)","cot":[{"info":"⫖↰⪸849⫩⊇=⫖↰⪸-813","layer":1},{"info":"⫖↰⪸13B8↺⫖↰⪸7A4=⫖↰⪸7A4","layer":1},{"info":"⫖↰⪸-813⨟⋌⩍⫖↰⪸7A4=NaN","layer":0}]}
+{"id":111,"expression_no_base_symbol":"$1427$+⇶⊼$3546$⋳⪒($4665$⫥∨⫟$7336$)","expression":"⫖↰⪸9AB+⇶⊼⫖↰⪸2076⋳⪒(⫖↰⪸2849⫥∨⫟⫖↰⪸42B4)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":162,"operation_count":3,"complexity_ratio":54.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1427,"base":12},"right_expr":{"type":"numeric_atoms","value":3546,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4665,"base":12},"right_expr":{"type":"numeric_atoms","value":7336,"base":12}}},"used_operators":["12rbrZMWeM","TpPTUOHfaN","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1427","layer":2},{"info":"number node, value=3546","layer":2},{"info":"compute binary expreesion, left_input=1427, right_input=3546, 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=4665","layer":2},{"info":"number node, value=7336","layer":2},{"info":"compute binary expreesion, left_input=4665, right_input=7336, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸9AB+⇶⊼⫖↰⪸2076⋳⪒(⫖↰⪸2849⫥∨⫟⫖↰⪸42B4)=NaN","reverse_text":"NaN=⫖↰⪸9AB+⇶⊼⫖↰⪸2076⋳⪒(⫖↰⪸2849⫥∨⫟⫖↰⪸42B4)","cot":[{"info":"⫖↰⪸9AB+⇶⊼⫖↰⪸2076=NaN","layer":1},{"info":"⫖↰⪸2849⫥∨⫟⫖↰⪸42B4=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
+{"id":112,"expression_no_base_symbol":"$1147$∑⇟⊟$2965$⩤","expression":"⫖↰⪸7B7∑⇟⊟⫖↰⪸1871⩤","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1147,"base":12},"right_expr":{"type":"numeric_atoms","value":2965,"base":12}}},"used_operators":["Z2TMIBDE3Q","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1147","layer":2},{"info":"number node, value=2965","layer":2},{"info":"compute binary expreesion, left_input=1147, right_input=2965, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸7B7∑⇟⊟⫖↰⪸1871⩤=NaN","reverse_text":"NaN=⫖↰⪸7B7∑⇟⊟⫖↰⪸1871⩤","cot":[{"info":"⫖↰⪸7B7∑⇟⊟⫖↰⪸1871=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
+{"id":113,"expression_no_base_symbol":"$1182$⩷∴$1867$⊭↱($2708$⊭↱$1405$)","expression":"⫖↰⪸826⩷∴⫖↰⪸10B7⊭↱(⫖↰⪸1698⊭↱⫖↰⪸991)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1182,"base":12},"right_expr":{"type":"numeric_atoms","value":1867,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2708,"base":12},"right_expr":{"type":"numeric_atoms","value":1405,"base":12}}},"used_operators":["COABgblf1C","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-1475","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1182","layer":2},{"info":"number node, value=1867","layer":2},{"info":"compute binary expreesion, left_input=1182, right_input=1867, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1402","layer":1},{"info":"number node, value=2708","layer":2},{"info":"number node, value=1405","layer":2},{"info":"compute binary expreesion, left_input=2708, right_input=1405, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2601","layer":1},{"info":"compute binary expreesion, left_input=-1402, right_input=-2601, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2393","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸826⩷∴⫖↰⪸10B7⊭↱(⫖↰⪸1698⊭↱⫖↰⪸991)=⫖↰⪸-1475","reverse_text":"⫖↰⪸-1475=⫖↰⪸826⩷∴⫖↰⪸10B7⊭↱(⫖↰⪸1698⊭↱⫖↰⪸991)","cot":[{"info":"⫖↰⪸826⩷∴⫖↰⪸10B7=⫖↰⪸-98A","layer":1},{"info":"⫖↰⪸1698⊭↱⫖↰⪸991=⫖↰⪸-1609","layer":1},{"info":"⫖↰⪸-98A⊭↱⫖↰⪸-1609=⫖↰⪸-1475","layer":0}]}
+{"id":114,"expression_no_base_symbol":"($4186$⫸⊐$1600$)≧⫂∧($1262$⋓$1191$)","expression":"(⫖↰⪸250A⫸⊐⫖↰⪸B14)≧⫂∧(⫖↰⪸892⋓⫖↰⪸833)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":38,"operation_count":3,"complexity_ratio":12.666666666666666,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4186,"base":12},"right_expr":{"type":"numeric_atoms","value":1600,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1262,"base":12},"right_expr":{"type":"numeric_atoms","value":1191,"base":12}}},"used_operators":["Ph9nP6C5qx","mqXw5SEYmG","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫖↰⪸-335","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4186","layer":2},{"info":"number node, value=1600","layer":2},{"info":"compute binary expreesion, left_input=4186, right_input=1600, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6275","layer":1},{"info":"number node, value=1262","layer":2},{"info":"number node, value=1191","layer":2},{"info":"compute binary expreesion, left_input=1262, right_input=1191, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=6275, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸250A⫸⊐⫖↰⪸B14)≧⫂∧(⫖↰⪸892⋓⫖↰⪸833)=⫖↰⪸-335","reverse_text":"⫖↰⪸-335=(⫖↰⪸250A⫸⊐⫖↰⪸B14)≧⫂∧(⫖↰⪸892⋓⫖↰⪸833)","cot":[{"info":"⫖↰⪸250A⫸⊐⫖↰⪸B14=⫖↰⪸376B","layer":1},{"info":"⫖↰⪸892⋓⫖↰⪸833=⫖↰⪸0","layer":1},{"info":"⫖↰⪸376B≧⫂∧⫖↰⪸0=⫖↰⪸-335","layer":0}]}
+{"id":115,"expression_no_base_symbol":"$3505$⨎$2535$+$2103$⋝⋈⪟$2148$","expression":"⫖↰⪸2041⨎⫖↰⪸1573+⫖↰⪸1273⋝⋈⪟⫖↰⪸12B0","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3505,"base":12},"right_expr":{"type":"numeric_atoms","value":2535,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2103,"base":12},"right_expr":{"type":"numeric_atoms","value":2148,"base":12}}},"used_operators":["W4YGzv6Whe","rJVOvQCfKK","2DDjHMKMc0"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸2826","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3505","layer":2},{"info":"number node, value=2535","layer":2},{"info":"compute binary expreesion, left_input=3505, right_input=2535, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2535","layer":1},{"info":"number node, value=2103","layer":2},{"info":"number node, value=2148","layer":2},{"info":"compute binary expreesion, left_input=2103, right_input=2148, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2103","layer":1},{"info":"compute binary expreesion, left_input=2535, right_input=2103, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4638","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2041⨎⫖↰⪸1573+⫖↰⪸1273⋝⋈⪟⫖↰⪸12B0=⫖↰⪸2826","reverse_text":"⫖↰⪸2826=⫖↰⪸2041⨎⫖↰⪸1573+⫖↰⪸1273⋝⋈⪟⫖↰⪸12B0","cot":[{"info":"⫖↰⪸2041⨎⫖↰⪸1573=⫖↰⪸1573","layer":1},{"info":"⫖↰⪸1273⋝⋈⪟⫖↰⪸12B0=⫖↰⪸1273","layer":1},{"info":"⫖↰⪸1573+⫖↰⪸1273=⫖↰⪸2826","layer":0}]}
+{"id":116,"expression_no_base_symbol":"($7617$⊉≛↸$3223$)⋳⪒(↽≂$8704$)","expression":"(⫖↰⪸44A9⊉≛↸⫖↰⪸1A47)⋳⪒(↽≂⫖↰⪸5054)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7617,"base":12},"right_expr":{"type":"numeric_atoms","value":3223,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":8704,"base":12}}},"used_operators":["12rbrZMWeM","DZ8iAZOCBD","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸23659","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7617","layer":2},{"info":"number node, value=3223","layer":2},{"info":"compute binary expreesion, left_input=7617, right_input=3223, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=15234","layer":1},{"info":"number node, value=8704","layer":2},{"info":"compute unary expreesion, input=8704, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-17408","layer":1},{"info":"compute binary expreesion, left_input=15234, right_input=-17408, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=47589","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸44A9⊉≛↸⫖↰⪸1A47)⋳⪒(↽≂⫖↰⪸5054)=⫖↰⪸23659","reverse_text":"⫖↰⪸23659=(⫖↰⪸44A9⊉≛↸⫖↰⪸1A47)⋳⪒(↽≂⫖↰⪸5054)","cot":[{"info":"⫖↰⪸44A9⊉≛↸⫖↰⪸1A47=⫖↰⪸8996","layer":1},{"info":"↽≂⫖↰⪸5054=⫖↰⪸-A0A8","layer":1},{"info":"⫖↰⪸8996⋳⪒⫖↰⪸-A0A8=⫖↰⪸23659","layer":0}]}
+{"id":117,"expression_no_base_symbol":"($4872$⪨≂$1067$)⋝⋈⪟(↔$3854$)","expression":"(⫖↰⪸29A0⪨≂⫖↰⪸74B)⋝⋈⪟(↔⫖↰⪸2292)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4872,"base":12},"right_expr":{"type":"numeric_atoms","value":1067,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3854,"base":12}}},"used_operators":["2DDjHMKMc0","sdazOOVcIp","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫖↰⪸4568","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4872","layer":2},{"info":"number node, value=1067","layer":2},{"info":"compute binary expreesion, left_input=4872, right_input=1067, 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=7712","layer":1},{"info":"number node, value=3854","layer":2},{"info":"compute unary expreesion, input=3854, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3581","layer":1},{"info":"compute binary expreesion, left_input=7712, right_input=-3581, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7712","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸29A0⪨≂⫖↰⪸74B)⋝⋈⪟(↔⫖↰⪸2292)=⫖↰⪸4568","reverse_text":"⫖↰⪸4568=(⫖↰⪸29A0⪨≂⫖↰⪸74B)⋝⋈⪟(↔⫖↰⪸2292)","cot":[{"info":"⫖↰⪸29A0⪨≂⫖↰⪸74B=⫖↰⪸4568","layer":1},{"info":"↔⫖↰⪸2292=⫖↰⪸-20A5","layer":1},{"info":"⫖↰⪸4568⋝⋈⪟⫖↰⪸-20A5=⫖↰⪸4568","layer":0}]}
+{"id":118,"expression_no_base_symbol":"$7584$⨓$2002$⩷∴($1257$⇋≉)","expression":"⫖↰⪸4480⨓⫖↰⪸11AA⩷∴(⫖↰⪸889⇋≉)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2017,"operation_count":3,"complexity_ratio":672.3333333333334,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7584,"base":12},"right_expr":{"type":"numeric_atoms","value":2002,"base":12}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1257,"base":12}}},"used_operators":["9FxExcQeMw","3ViojmjbAp","XIabStNQrY"],"dependent_operators":["rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-5176","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7584","layer":2},{"info":"number node, value=2002","layer":2},{"info":"compute binary expreesion, left_input=7584, right_input=2002, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2005","layer":1},{"info":"number node, value=1257","layer":2},{"info":"compute unary expreesion, input=1257, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2416","layer":1},{"info":"compute binary expreesion, left_input=-2005, right_input=2416, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-8874","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸4480⨓⫖↰⪸11AA⩷∴(⫖↰⪸889⇋≉)=⫖↰⪸-5176","reverse_text":"⫖↰⪸-5176=⫖↰⪸4480⨓⫖↰⪸11AA⩷∴(⫖↰⪸889⇋≉)","cot":[{"info":"⫖↰⪸4480⨓⫖↰⪸11AA=⫖↰⪸-11B1","layer":1},{"info":"⫖↰⪸889⇋≉=⫖↰⪸1494","layer":1},{"info":"⫖↰⪸-11B1⩷∴⫖↰⪸1494=⫖↰⪸-5176","layer":0}]}
+{"id":119,"expression_no_base_symbol":"$4869$⨐⩸⫘$5313$⪒$3084$⨳⩥⨓$5229$","expression":"⫖↰⪸2999⨐⩸⫘⫖↰⪸30A9⪒⫖↰⪸1950⨳⩥⨓⫖↰⪸3039","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4869,"base":12},"right_expr":{"type":"numeric_atoms","value":5313,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3084,"base":12},"right_expr":{"type":"numeric_atoms","value":5229,"base":12}}},"used_operators":["f6k1SAg4EE","fu6greOZ01","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4869","layer":2},{"info":"number node, value=5313","layer":2},{"info":"compute binary expreesion, left_input=4869, right_input=5313, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=3084","layer":2},{"info":"number node, value=5229","layer":2},{"info":"compute binary expreesion, left_input=3084, right_input=5229, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2145","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2145, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2999⨐⩸⫘⫖↰⪸30A9⪒⫖↰⪸1950⨳⩥⨓⫖↰⪸3039=NaN","reverse_text":"NaN=⫖↰⪸2999⨐⩸⫘⫖↰⪸30A9⪒⫖↰⪸1950⨳⩥⨓⫖↰⪸3039","cot":[{"info":"⫖↰⪸2999⨐⩸⫘⫖↰⪸30A9=NaN","layer":1},{"info":"⫖↰⪸1950⨳⩥⨓⫖↰⪸3039=⫖↰⪸12A9","layer":1},{"info":"NaN⪒⫖↰⪸12A9=NaN","layer":0}]}
+{"id":120,"expression_no_base_symbol":"↣≠⋷($1002$%$1013$)","expression":"↣≠⋷(⫖↰⪸6B6%⫖↰⪸705)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1002,"base":12},"right_expr":{"type":"numeric_atoms","value":1013,"base":12}}},"used_operators":["Asc51vEJeQ","k8jYdgA6NY"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1002","layer":2},{"info":"number node, value=1013","layer":2},{"info":"compute binary expreesion, left_input=1002, right_input=1013, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1002","layer":1},{"info":"compute unary expreesion, input=1002, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↣≠⋷(⫖↰⪸6B6%⫖↰⪸705)=NaN","reverse_text":"NaN=↣≠⋷(⫖↰⪸6B6%⫖↰⪸705)","cot":[{"info":"⫖↰⪸6B6%⫖↰⪸705=⫖↰⪸6B6","layer":1},{"info":"↣≠⋷⫖↰⪸6B6=NaN","layer":0}]}
+{"id":121,"expression_no_base_symbol":"$4577$/$3868$⨵⪆$1253$↙$1359$","expression":"⫖↰⪸2795/⫖↰⪸22A4⨵⪆⫖↰⪸885↙⫖↰⪸953","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1364,"operation_count":3,"complexity_ratio":454.6666666666667,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4577,"base":12},"right_expr":{"type":"numeric_atoms","value":3868,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1253,"base":12},"right_expr":{"type":"numeric_atoms","value":1359,"base":12}}},"used_operators":["2DQ55sFlQl","XhwjNDsVaA","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4577","layer":2},{"info":"number node, value=3868","layer":2},{"info":"compute binary expreesion, left_input=4577, right_input=3868, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"number node, value=1253","layer":2},{"info":"number node, value=1359","layer":2},{"info":"compute binary expreesion, left_input=1253, right_input=1359, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4077","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=-4077, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2795/⫖↰⪸22A4⨵⪆⫖↰⪸885↙⫖↰⪸953=⫖↰⪸114","reverse_text":"⫖↰⪸114=⫖↰⪸2795/⫖↰⪸22A4⨵⪆⫖↰⪸885↙⫖↰⪸953","cot":[{"info":"⫖↰⪸2795/⫖↰⪸22A4=⫖↰⪸1","layer":1},{"info":"⫖↰⪸885↙⫖↰���953=⫖↰⪸-2439","layer":1},{"info":"⫖↰⪸1⨵⪆⫖↰⪸-2439=⫖↰⪸114","layer":0}]}
+{"id":122,"expression_no_base_symbol":"$1286$⪢$4162$↬($1746$⊉≛↸$3731$)","expression":"⫖↰⪸8B2⪢⫖↰⪸24AA↬(⫖↰⪸1016⊉≛↸⫖↰⪸21AB)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4165,"operation_count":3,"complexity_ratio":1388.3333333333333,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1286,"base":12},"right_expr":{"type":"numeric_atoms","value":4162,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1746,"base":12},"right_expr":{"type":"numeric_atoms","value":3731,"base":12}}},"used_operators":["B5M0gjZbta","dWAJyo7jo9","DZ8iAZOCBD"],"dependent_operators":["rGHVDoGpnC","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1286","layer":2},{"info":"number node, value=4162","layer":2},{"info":"compute binary expreesion, left_input=1286, right_input=4162, 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=1746","layer":2},{"info":"number node, value=3731","layer":2},{"info":"compute binary expreesion, left_input=1746, right_input=3731, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3492","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3492, 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":12,"result_base":12,"text":"⫖↰⪸8B2⪢⫖↰⪸24AA↬(⫖↰⪸1016⊉≛↸⫖↰⪸21AB)=NaN","reverse_text":"NaN=⫖↰⪸8B2⪢⫖↰⪸24AA↬(⫖↰⪸1016⊉≛↸⫖↰⪸21AB)","cot":[{"info":"⫖↰⪸8B2⪢⫖↰⪸24AA=NaN","layer":1},{"info":"⫖↰⪸1016⊉≛↸⫖↰⪸21AB=⫖↰⪸2030","layer":1},{"info":"NaN↬⫖↰⪸2030=NaN","layer":0}]}
+{"id":123,"expression_no_base_symbol":"⨵≀≌($2565$⊉≛↸$2018$)","expression":"⨵≀≌(⫖↰⪸1599⊉≛↸⫖↰⪸1202)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2565,"base":12},"right_expr":{"type":"numeric_atoms","value":2018,"base":12}}},"used_operators":["srAu1WTS94","DZ8iAZOCBD"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-8AA6","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2565","layer":2},{"info":"number node, value=2018","layer":2},{"info":"compute binary expreesion, left_input=2565, right_input=2018, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5130","layer":1},{"info":"compute unary expreesion, input=5130, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-15390","layer":0}],"base":12,"result_base":12,"text":"⨵≀≌(⫖↰⪸1599⊉≛↸⫖↰⪸1202)=⫖↰⪸-8AA6","reverse_text":"⫖↰⪸-8AA6=⨵≀≌(⫖↰⪸1599⊉≛↸⫖↰⪸1202)","cot":[{"info":"⫖↰⪸1599⊉≛↸⫖↰⪸1202=⫖↰⪸2B76","layer":1},{"info":"⨵≀≌⫖↰⪸2B76=⫖↰⪸-8AA6","layer":0}]}
+{"id":124,"expression_no_base_symbol":"($5217$⊭↱$1929$)≧⫂∧($6088$⋥≓≎$2174$)","expression":"(⫖↰⪸3029⊭↱⫖↰⪸1149)≧⫂∧(⫖↰⪸3634⋥≓≎⫖↰⪸1312)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5217,"base":12},"right_expr":{"type":"numeric_atoms","value":1929,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6088,"base":12},"right_expr":{"type":"numeric_atoms","value":2174,"base":12}}},"used_operators":["Ph9nP6C5qx","COABgblf1C","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-2994","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5217","layer":2},{"info":"number node, value=1929","layer":2},{"info":"compute binary expreesion, left_input=5217, right_input=1929, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6571","layer":1},{"info":"number node, value=6088","layer":2},{"info":"number node, value=2174","layer":2},{"info":"compute binary expreesion, left_input=6088, right_input=2174, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1707","layer":1},{"info":"compute binary expreesion, left_input=-6571, right_input=-1707, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-4864","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3029⊭↱⫖↰⪸1149)≧⫂∧(⫖↰⪸3634⋥≓≎⫖↰⪸1312)=⫖↰⪸-2994","reverse_text":"⫖↰⪸-2994=(⫖↰⪸3029⊭↱⫖↰⪸1149)≧⫂∧(⫖↰⪸3634⋥≓≎⫖↰⪸1312)","cot":[{"info":"⫖↰⪸3029⊭↱⫖↰⪸1149=⫖↰⪸-3977","layer":1},{"info":"⫖↰⪸3634⋥≓≎⫖↰⪸1312=⫖↰⪸-BA3","layer":1},{"info":"⫖↰⪸-3977≧⫂∧⫖↰⪸-BA3=⫖↰⪸-2994","layer":0}]}
+{"id":125,"expression_no_base_symbol":"$2635$⩷∴$2821$⨎(⨵≀≌$7541$)","expression":"⫖↰⪸1637⩷∴⫖↰⪸1771⨎(⨵≀≌⫖↰⪸4445)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2635,"base":12},"right_expr":{"type":"numeric_atoms","value":2821,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":7541,"base":12}}},"used_operators":["rJVOvQCfKK","9FxExcQeMw","srAu1WTS94"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫖↰⪸-11113","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2635","layer":2},{"info":"number node, value=2821","layer":2},{"info":"compute binary expreesion, left_input=2635, right_input=2821, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-404","layer":1},{"info":"number node, value=7541","layer":2},{"info":"compute unary expreesion, input=7541, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-22623","layer":1},{"info":"compute binary expreesion, left_input=-404, right_input=-22623, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-22623","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1637⩷∴⫖↰⪸1771⨎(⨵≀≌⫖↰⪸4445)=⫖↰⪸-11113","reverse_text":"⫖↰⪸-11113=⫖↰⪸1637⩷∴⫖↰⪸1771⨎(⨵≀≌⫖↰⪸4445)","cot":[{"info":"⫖↰⪸1637⩷∴⫖↰⪸1771=⫖↰⪸-298","layer":1},{"info":"⨵≀≌⫖↰⪸4445=⫖↰⪸-11113","layer":1},{"info":"⫖↰⪸-298⨎⫖↰⪸-11113=⫖↰⪸-11113","layer":0}]}
+{"id":126,"expression_no_base_symbol":"$1873$⨟⋌⩍$1142$≎⊠⪸(⊄⩳↩$2137$)","expression":"⫖↰⪸1101⨟⋌⩍⫖↰⪸7B2≎⊠⪸(⊄⩳↩⫖↰⪸12A1)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1873,"base":12},"right_expr":{"type":"numeric_atoms","value":1142,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2137,"base":12}}},"used_operators":["bJkvcejdHO","rGHVDoGpnC","8w2t5hMYqp"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1873","layer":2},{"info":"number node, value=1142","layer":2},{"info":"compute binary expreesion, left_input=1873, right_input=1142, 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=2137","layer":2},{"info":"compute unary expreesion, input=2137, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6411","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6411, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1101⨟⋌⩍⫖↰⪸7B2≎⊠⪸(⊄⩳↩⫖↰⪸12A1)=⫖↰⪸57","reverse_text":"⫖↰⪸57=⫖↰⪸1101⨟⋌⩍⫖↰⪸7B2≎⊠⪸(⊄⩳↩⫖↰⪸12A1)","cot":[{"info":"⫖↰⪸1101⨟⋌⩍⫖↰⪸7B2=NaN","layer":1},{"info":"⊄⩳↩⫖↰⪸12A1=⫖↰⪸-3863","layer":1},{"info":"NaN≎⊠⪸⫖↰⪸-3863=⫖↰⪸57","layer":0}]}
+{"id":127,"expression_no_base_symbol":"($4518$-$1661$)∑⇟⊟(∂$5956$)","expression":"(⫖↰⪸2746-⫖↰⪸B65)∑⇟⊟(∂⫖↰⪸3544)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4518,"base":12},"right_expr":{"type":"numeric_atoms","value":1661,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5956,"base":12}}},"used_operators":["U7g4x0WXJJ","rysDP5nf3Z","Uaa54Peajs"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4518","layer":2},{"info":"number node, value=1661","layer":2},{"info":"compute binary expreesion, left_input=4518, right_input=1661, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2857","layer":1},{"info":"number node, value=5956","layer":2},{"info":"compute unary expreesion, input=5956, 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=2857, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2746-⫖↰⪸B65)∑⇟⊟(∂⫖↰⪸3544)=NaN","reverse_text":"NaN=(⫖↰⪸2746-⫖↰⪸B65)∑⇟⊟(∂⫖↰⪸3544)","cot":[{"info":"⫖↰⪸2746-⫖↰⪸B65=⫖↰⪸17A1","layer":1},{"info":"∂⫖↰⪸3544=NaN","layer":1},{"info":"⫖↰⪸17A1∑⇟⊟NaN=NaN","layer":0}]}
+{"id":128,"expression_no_base_symbol":"($1327$⨐⩸⫘$4685$)+⇶⊼($5106$⫸⊐$6164$)","expression":"(⫖↰⪸927⨐⩸⫘⫖↰⪸2865)+⇶⊼(⫖↰⪸2B56⫸⊐⫖↰⪸3698)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1327,"base":12},"right_expr":{"type":"numeric_atoms","value":4685,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5106,"base":12},"right_expr":{"type":"numeric_atoms","value":6164,"base":12}}},"used_operators":["TpPTUOHfaN","fu6greOZ01","mqXw5SEYmG"],"dependent_operators":["AHs5Up7iyr","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1327","layer":2},{"info":"number node, value=4685","layer":2},{"info":"compute binary expreesion, left_input=1327, right_input=4685, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=5106","layer":2},{"info":"number node, value=6164","layer":2},{"info":"compute binary expreesion, left_input=5106, right_input=6164, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=24531","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=24531, 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":12,"result_base":12,"text":"(⫖↰⪸927⨐⩸⫘⫖↰⪸2865)+⇶⊼(⫖↰⪸2B56⫸⊐⫖↰⪸3698)=NaN","reverse_text":"NaN=(⫖↰⪸927⨐⩸⫘⫖↰⪸2865)+⇶⊼(⫖↰⪸2B56⫸⊐⫖↰⪸3698)","cot":[{"info":"⫖↰⪸927⨐⩸⫘⫖↰⪸2865=NaN","layer":1},{"info":"⫖↰⪸2B56⫸⊐⫖↰⪸3698=⫖↰⪸12243","layer":1},{"info":"NaN+⇶⊼⫖↰⪸12243=NaN","layer":0}]}
+{"id":129,"expression_no_base_symbol":"($1281$-$3963$)∼($2226$⪐)","expression":"(⫖↰⪸8A9-⫖↰⪸2363)∼(⫖↰⪸1356⪐)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":57,"operation_count":3,"complexity_ratio":19.0,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1281,"base":12},"right_expr":{"type":"numeric_atoms","value":3963,"base":12}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2226,"base":12}}},"used_operators":["DyGG3AbaNP","rysDP5nf3Z","eH2TOUuTDT"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1281","layer":2},{"info":"number node, value=3963","layer":2},{"info":"compute binary expreesion, left_input=1281, right_input=3963, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2682","layer":1},{"info":"number node, value=2226","layer":2},{"info":"compute unary expreesion, input=2226, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4452","layer":1},{"info":"compute binary expreesion, left_input=-2682, right_input=4452, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸8A9-⫖↰⪸2363)∼(⫖↰⪸1356⪐)=NaN","reverse_text":"NaN=(⫖↰⪸8A9-⫖↰⪸2363)∼(⫖↰⪸1356⪐)","cot":[{"info":"⫖↰⪸8A9-⫖↰⪸2363=⫖↰⪸-1676","layer":1},{"info":"⫖↰⪸1356⪐=⫖↰⪸26B0","layer":1},{"info":"⫖↰⪸-1676∼⫖↰⪸26B0=NaN","layer":0}]}
+{"id":130,"expression_no_base_symbol":"($8160$⨁⊸⫻)+⇶⊼(-$6141$)","expression":"(⫖↰⪸4880⨁⊸⫻)+⇶⊼(-⫖↰⪸3679)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":8160,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":6141,"base":12}}},"used_operators":["TpPTUOHfaN","glklzrTFfD","t8gj7n24qd"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8160","layer":2},{"info":"compute unary expreesion, input=8160, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=8160","layer":1},{"info":"number node, value=6141","layer":2},{"info":"compute unary expreesion, input=6141, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6141","layer":1},{"info":"compute binary expreesion, left_input=8160, right_input=-6141, 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":12,"result_base":12,"text":"(⫖↰⪸4880⨁⊸⫻)+⇶⊼(-⫖↰⪸3679)=NaN","reverse_text":"NaN=(⫖↰⪸4880⨁⊸⫻)+⇶⊼(-⫖↰⪸3679)","cot":[{"info":"⫖↰⪸4880⨁⊸⫻=⫖↰⪸4880","layer":1},{"info":"-⫖↰⪸3679=⫖↰⪸-3679","layer":1},{"info":"⫖↰⪸4880+⇶⊼⫖↰⪸-3679=NaN","layer":0}]}
+{"id":131,"expression_no_base_symbol":"($1709$⨽$4235$)⫩⊇","expression":"(⫖↰⪸BA5⨽⫖↰⪸254B)⫩⊇","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1720,"operation_count":2,"complexity_ratio":860.0,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1709,"base":12},"right_expr":{"type":"numeric_atoms","value":4235,"base":12}}},"used_operators":["BjRHVeLaeN","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫖↰⪸2B312B0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1709","layer":2},{"info":"number node, value=4235","layer":2},{"info":"compute binary expreesion, left_input=1709, right_input=4235, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8773434","layer":1},{"info":"compute unary expreesion, input=-8773434, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=8773476","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸BA5⨽⫖↰⪸254B)⫩⊇=⫖↰⪸2B312B0","reverse_text":"⫖↰⪸2B312B0=(⫖↰⪸BA5⨽⫖↰⪸254B)⫩⊇","cot":[{"info":"⫖↰⪸BA5⨽⫖↰⪸254B=⫖↰⪸-2B31276","layer":1},{"info":"⫖↰⪸-2B31276⫩⊇=⫖↰⪸2B312B0","layer":0}]}
+{"id":132,"expression_no_base_symbol":"$3003$↬$1669$⫡⨏(⨞⊢$9572$)","expression":"⫖↰⪸18A3↬⫖↰⪸B71⫡⨏(⨞⊢⫖↰⪸5658)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3003,"base":12},"right_expr":{"type":"numeric_atoms","value":1669,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":9572,"base":12}}},"used_operators":["QMFrweE19q","B5M0gjZbta","xUOZtlo3hN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3003","layer":2},{"info":"number node, value=1669","layer":2},{"info":"compute binary expreesion, left_input=3003, right_input=1669, 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=9572","layer":2},{"info":"compute unary expreesion, input=9572, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-9746","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-9746, 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":12,"result_base":12,"text":"⫖↰⪸18A3↬⫖↰⪸B71⫡⨏(⨞⊢⫖↰⪸5658)=NaN","reverse_text":"NaN=⫖↰⪸18A3↬⫖↰⪸B71⫡⨏(⨞⊢⫖↰⪸5658)","cot":[{"info":"⫖↰⪸18A3↬⫖↰⪸B71=NaN","layer":1},{"info":"⨞⊢⫖↰⪸5658=⫖↰⪸-5782","layer":1},{"info":"NaN⫡⨏⫖↰⪸-5782=NaN","layer":0}]}
+{"id":133,"expression_no_base_symbol":"$1625$/$2093$⫡⨏($1608$⋷$1011$)","expression":"⫖↰⪸B35/⫖↰⪸1265⫡⨏(⫖↰⪸B20⋷⫖↰⪸703)","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1625,"base":12},"right_expr":{"type":"numeric_atoms","value":2093,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1608,"base":12},"right_expr":{"type":"numeric_atoms","value":1011,"base":12}}},"used_operators":["QMFrweE19q","XhwjNDsVaA","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸B23","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1625","layer":2},{"info":"number node, value=2093","layer":2},{"info":"compute binary expreesion, left_input=1625, right_input=2093, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1608","layer":2},{"info":"number node, value=1011","layer":2},{"info":"compute binary expreesion, left_input=1608, right_input=1011, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=414","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=414, 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=1611","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸B35/⫖↰⪸1265⫡⨏(⫖↰⪸B20⋷⫖↰⪸703)=⫖↰⪸B23","reverse_text":"⫖↰⪸B23=⫖↰⪸B35/⫖↰⪸1265⫡⨏(⫖↰⪸B20⋷⫖↰⪸703)","cot":[{"info":"⫖↰⪸B35/⫖↰⪸1265=⫖↰⪸0","layer":1},{"info":"⫖↰⪸B20⋷⫖↰⪸703=⫖↰⪸2A6","layer":1},{"info":"⫖↰⪸0⫡⨏⫖↰⪸2A6=⫖↰⪸B23","layer":0}]}
+{"id":134,"expression_no_base_symbol":"≤/(↽≂$1319$)","expression":"≤/(↽≂⫖↰⪸91B)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1319,"base":12}}},"used_operators":["eLAdDNolq6","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸1982","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1319","layer":2},{"info":"compute unary expreesion, input=1319, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2638","layer":1},{"info":"compute unary expreesion, input=-2638, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=3122","layer":0}],"base":12,"result_base":12,"text":"≤/(↽≂⫖↰⪸91B)=⫖↰⪸1982","reverse_text":"⫖↰⪸1982=≤/(↽≂⫖↰⪸91B)","cot":[{"info":"↽≂⫖↰⪸91B=⫖↰⪸-163A","layer":1},{"info":"≤/⫖↰⪸-163A=⫖↰⪸1982","layer":0}]}
+{"id":135,"expression_no_base_symbol":"($2472$⋳⪒$1682$)⋝⋈⪟($1306$⊪)","expression":"(⫖↰⪸1520⋳⪒⫖↰⪸B82)⋝⋈⪟(⫖↰⪸90A⊪)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":43,"operation_count":3,"complexity_ratio":14.333333333333334,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2472,"base":12},"right_expr":{"type":"numeric_atoms","value":1682,"base":12}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1306,"base":12}}},"used_operators":["2DDjHMKMc0","12rbrZMWeM","zVYPLywUTj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⫖↰⪸187B","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2472","layer":2},{"info":"number node, value=1682","layer":2},{"info":"compute binary expreesion, left_input=2472, right_input=1682, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2975","layer":1},{"info":"number node, value=1306","layer":2},{"info":"compute unary expreesion, input=1306, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=2975, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2975","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1520⋳⪒⫖↰⪸B82)⋝⋈⪟(⫖↰⪸90A⊪)=⫖↰⪸187B","reverse_text":"⫖↰⪸187B=(⫖↰⪸1520⋳⪒⫖↰⪸B82)⋝⋈⪟(⫖↰⪸90A⊪)","cot":[{"info":"⫖↰⪸1520⋳⪒⫖↰⪸B82=⫖↰⪸187B","layer":1},{"info":"⫖↰⪸90A⊪=⫖↰⪸0","layer":1},{"info":"⫖↰⪸187B⋝⋈⪟⫖↰⪸0=⫖↰⪸187B","layer":0}]}
+{"id":136,"expression_no_base_symbol":"$9158$∑⇟⊟$3639$⊭↱$3045$⨳⩥⨓$5434$","expression":"⫖↰⪸5372∑⇟⊟⫖↰⪸2133⊭↱⫖↰⪸1919⨳⩥⨓⫖↰⪸318A","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":9158,"base":12},"right_expr":{"type":"numeric_atoms","value":3639,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3045,"base":12},"right_expr":{"type":"numeric_atoms","value":5434,"base":12}}},"used_operators":["COABgblf1C","U7g4x0WXJJ","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=9158","layer":2},{"info":"number node, value=3639","layer":2},{"info":"compute binary expreesion, left_input=9158, right_input=3639, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=3045","layer":2},{"info":"number node, value=5434","layer":2},{"info":"compute binary expreesion, left_input=3045, right_input=5434, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2389","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2389, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸5372∑⇟⊟⫖↰⪸2133⊭↱⫖↰⪸1919⨳⩥⨓⫖↰⪸318A=NaN","reverse_text":"NaN=⫖↰⪸5372∑⇟⊟⫖↰⪸2133⊭↱⫖↰⪸1919⨳⩥⨓⫖↰⪸318A","cot":[{"info":"⫖↰⪸5372∑⇟⊟⫖↰⪸2133=NaN","layer":1},{"info":"⫖↰⪸1919⨳⩥⨓⫖↰⪸318A=⫖↰⪸1471","layer":1},{"info":"NaN⊭↱⫖↰⪸1471=NaN","layer":0}]}
+{"id":137,"expression_no_base_symbol":"(⫓⪴$1297$)∼($2238$⨐⩸⫘$1316$)","expression":"(⫓⪴⫖↰⪸901)∼(⫖↰⪸1366⨐⩸⫘⫖↰⪸918)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34284,"operation_count":3,"complexity_ratio":11428.0,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1297,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2238,"base":12},"right_expr":{"type":"numeric_atoms","value":1316,"base":12}}},"used_operators":["DyGG3AbaNP","eLxqMNBOBk","fu6greOZ01"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1297","layer":2},{"info":"compute unary expreesion, input=1297, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1682209","layer":1},{"info":"number node, value=2238","layer":2},{"info":"number node, value=1316","layer":2},{"info":"compute binary expreesion, left_input=2238, right_input=1316, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1682209, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫓⪴⫖↰⪸901)∼(⫖↰⪸1366⨐⩸⫘⫖↰⪸918)=NaN","reverse_text":"NaN=(⫓⪴⫖↰⪸901)∼(⫖↰⪸1366⨐⩸⫘⫖↰⪸918)","cot":[{"info":"⫓⪴⫖↰⪸901=⫖↰⪸691601","layer":1},{"info":"⫖↰⪸1366⨐⩸⫘⫖↰⪸918=NaN","layer":1},{"info":"⫖↰⪸691601∼NaN=NaN","layer":0}]}
+{"id":138,"expression_no_base_symbol":"$8216$⊴$5156$⋓$1751$⪢$3804$","expression":"⫖↰⪸4908⊴⫖↰⪸2B98⋓⫖↰⪸101B⪢⫖↰⪸2250","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10079,"operation_count":3,"complexity_ratio":3359.6666666666665,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":8216,"base":12},"right_expr":{"type":"numeric_atoms","value":5156,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1751,"base":12},"right_expr":{"type":"numeric_atoms","value":3804,"base":12}}},"used_operators":["T2fj7uvVaJ","Nsiff2A1zJ","dWAJyo7jo9"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=8216","layer":2},{"info":"number node, value=5156","layer":2},{"info":"compute binary expreesion, left_input=8216, right_input=5156, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1751","layer":2},{"info":"number node, value=3804","layer":2},{"info":"compute binary expreesion, left_input=1751, right_input=3804, 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 = 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":12,"result_base":12,"text":"⫖↰⪸4908⊴⫖↰⪸2B98⋓⫖↰⪸101B⪢⫖↰⪸2250=NaN","reverse_text":"NaN=⫖↰⪸4908⊴⫖↰⪸2B98⋓⫖↰⪸101B⪢⫖↰⪸2250","cot":[{"info":"⫖↰⪸4908⊴⫖↰⪸2B98=NaN","layer":1},{"info":"⫖↰⪸101B⪢⫖↰⪸2250=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
+{"id":139,"expression_no_base_symbol":"$1715$≭$5578$↙($1835$⊉≛↸$1161$)","expression":"⫖↰⪸BAB≭⫖↰⪸328A↙(⫖↰⪸108B⊉≛↸⫖↰⪸809)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1715,"base":12},"right_expr":{"type":"numeric_atoms","value":5578,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1835,"base":12},"right_expr":{"type":"numeric_atoms","value":1161,"base":12}}},"used_operators":["yyfyN0ffXY","rxpJgHHUmx","DZ8iAZOCBD"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1715","layer":2},{"info":"number node, value=5578","layer":2},{"info":"compute binary expreesion, left_input=1715, right_input=5578, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1835","layer":2},{"info":"number node, value=1161","layer":2},{"info":"compute binary expreesion, left_input=1835, right_input=1161, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3670","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3670, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸BAB≭⫖↰⪸328A↙(⫖↰⪸108B⊉≛↸⫖↰⪸809)=NaN","reverse_text":"NaN=⫖↰⪸BAB≭⫖↰⪸328A↙(⫖↰⪸108B⊉≛↸⫖↰⪸809)","cot":[{"info":"⫖↰⪸BAB≭⫖↰⪸328A=NaN","layer":1},{"info":"⫖↰⪸108B⊉≛↸⫖↰⪸809=⫖↰⪸215A","layer":1},{"info":"NaN↙⫖↰⪸215A=NaN","layer":0}]}
+{"id":140,"expression_no_base_symbol":"$1582$*$3225$⩨(⊥$2351$)","expression":"⫖↰⪸ABA*⫖↰⪸1A49⩨(⊥⫖↰⪸143B)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1587,"operation_count":3,"complexity_ratio":529.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1582,"base":12},"right_expr":{"type":"numeric_atoms","value":3225,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2351,"base":12}}},"used_operators":["2DlMacCsIx","9HNa5Wba9A","Q3PJZHRvZv"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1582","layer":2},{"info":"number node, value=3225","layer":2},{"info":"compute binary expreesion, left_input=1582, right_input=3225, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5101950","layer":1},{"info":"number node, value=2351","layer":2},{"info":"compute unary expreesion, input=2351, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5101950, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸ABA*⫖↰⪸1A49⩨(⊥⫖↰⪸143B)=NaN","reverse_text":"NaN=⫖↰⪸ABA*⫖↰⪸1A49⩨(⊥⫖↰⪸143B)","cot":[{"info":"⫖↰⪸ABA*⫖↰⪸1A49=⫖↰⪸1860626","layer":1},{"info":"⊥⫖↰⪸143B=NaN","layer":1},{"info":"⫖↰⪸1860626⩨NaN=NaN","layer":0}]}
+{"id":141,"expression_no_base_symbol":"(⊥$1125$)+($5819$⫡⨏$3504$)","expression":"(⊥⫖↰⪸799)+(⫖↰⪸344B⫡⨏⫖↰⪸2040)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1125,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5819,"base":12},"right_expr":{"type":"numeric_atoms","value":3504,"base":12}}},"used_operators":["W4YGzv6Whe","Q3PJZHRvZv","QMFrweE19q"],"dependent_operators":["fu6greOZ01","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1125","layer":2},{"info":"compute unary expreesion, input=1125, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=5819","layer":2},{"info":"number node, value=3504","layer":2},{"info":"compute binary expreesion, left_input=5819, right_input=3504, 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=36886","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=36886, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊥⫖↰⪸799)+(⫖↰⪸344B⫡⨏⫖↰⪸2040)=NaN","reverse_text":"NaN=(⊥⫖↰⪸799)+(⫖↰⪸344B⫡⨏⫖↰⪸2040)","cot":[{"info":"⊥⫖↰⪸799=NaN","layer":1},{"info":"⫖↰⪸344B⫡⨏⫖↰⪸2040=⫖↰⪸1941A","layer":1},{"info":"NaN+⫖↰⪸1941A=NaN","layer":0}]}
+{"id":142,"expression_no_base_symbol":"∂$1122$⇷$2392$","expression":"∂⫖↰⪸796⇷⫖↰⪸1474","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":15715,"operation_count":2,"complexity_ratio":7857.5,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1122,"base":12},"right_expr":{"type":"numeric_atoms","value":2392,"base":12}}},"used_operators":["Uaa54Peajs","mp7IySMOzn"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1122","layer":2},{"info":"number node, value=2392","layer":2},{"info":"compute binary expreesion, left_input=1122, right_input=2392, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4784","layer":1},{"info":"compute unary expreesion, input=4784, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∂⫖↰⪸796⇷⫖↰⪸1474=NaN","reverse_text":"NaN=∂⫖↰⪸796⇷⫖↰⪸1474","cot":[{"info":"⫖↰⪸796⇷⫖↰⪸1474=⫖↰⪸2928","layer":1},{"info":"∂⫖↰⪸2928=NaN","layer":0}]}
+{"id":143,"expression_no_base_symbol":"($3047$↛⩡⫤)⪘⫢($3232$⋥≓≎$1072$)","expression":"(⫖↰⪸191B↛⩡⫤)⪘⫢(⫖↰⪸1A54⋥≓≎⫖↰⪸754)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9288,"operation_count":3,"complexity_ratio":3096.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3047,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3232,"base":12},"right_expr":{"type":"numeric_atoms","value":1072,"base":12}}},"used_operators":["oacrs7FA3X","FU0Cs4j7VP","Qy55tPpLXF"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-1","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3047","layer":2},{"info":"compute unary expreesion, input=3047, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-456186","layer":1},{"info":"number node, value=3232","layer":2},{"info":"number node, value=1072","layer":2},{"info":"compute binary expreesion, left_input=3232, right_input=1072, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1055","layer":1},{"info":"compute binary expreesion, left_input=-456186, right_input=-1055, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸191B↛⩡⫤)⪘⫢(⫖↰⪸1A54⋥≓≎⫖↰⪸754)=⫖↰⪸-1","reverse_text":"⫖↰⪸-1=(⫖↰⪸191B↛⩡⫤)⪘⫢(⫖↰⪸1A54⋥≓≎⫖↰⪸754)","cot":[{"info":"⫖↰⪸191B↛⩡⫤=⫖↰⪸-19BBB6","layer":1},{"info":"⫖↰⪸1A54⋥≓≎⫖↰⪸754=⫖↰⪸-73B","layer":1},{"info":"⫖↰⪸-19BBB6⪘⫢⫖↰⪸-73B=⫖↰⪸-1","layer":0}]}
+{"id":144,"expression_no_base_symbol":"∂($3630$⋷$9424$)","expression":"∂(⫖↰⪸2126⋷⫖↰⪸5554)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3630,"base":12},"right_expr":{"type":"numeric_atoms","value":9424,"base":12}}},"used_operators":["Uaa54Peajs","23Mk6UjR3U"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3630","layer":2},{"info":"number node, value=9424","layer":2},{"info":"compute binary expreesion, left_input=3630, right_input=9424, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=15218","layer":1},{"info":"compute unary expreesion, input=15218, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∂(⫖↰⪸2126⋷⫖↰⪸5554)=NaN","reverse_text":"NaN=∂(⫖↰⪸2126⋷⫖↰⪸5554)","cot":[{"info":"⫖↰⪸2126⋷⫖↰⪸5554=⫖↰⪸8982","layer":1},{"info":"∂⫖↰⪸8982=NaN","layer":0}]}
+{"id":145,"expression_no_base_symbol":"($1684$⊉≛↸$3231$)↬($1260$∲⫓$1315$)","expression":"(⫖↰⪸B84⊉≛↸⫖↰⪸1A53)↬(⫖↰⪸890∲⫓⫖↰⪸917)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1684,"base":12},"right_expr":{"type":"numeric_atoms","value":3231,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1260,"base":12},"right_expr":{"type":"numeric_atoms","value":1315,"base":12}}},"used_operators":["B5M0gjZbta","DZ8iAZOCBD","i8ToyICDmI"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1684","layer":2},{"info":"number node, value=3231","layer":2},{"info":"compute binary expreesion, left_input=1684, right_input=3231, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3368","layer":1},{"info":"number node, value=1260","layer":2},{"info":"number node, value=1315","layer":2},{"info":"compute binary expreesion, left_input=1260, right_input=1315, 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=3368, 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":0}],"base":12,"result_base":12,"text":"(⫖↰⪸B84⊉≛↸⫖↰⪸1A53)↬(⫖↰⪸890∲⫓⫖↰⪸917)=NaN","reverse_text":"NaN=(⫖↰⪸B84⊉≛↸⫖↰⪸1A53)↬(⫖↰⪸890∲⫓⫖↰⪸917)","cot":[{"info":"⫖↰⪸B84⊉≛↸⫖↰⪸1A53=⫖↰⪸1B48","layer":1},{"info":"⫖↰⪸890∲⫓⫖↰⪸917=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1B48↬⫖↰⪸0=NaN","layer":0}]}
+{"id":146,"expression_no_base_symbol":"(⊙↵-$1839$)⨽$3687$⊴$2934$","expression":"(⊙↵-⫖↰⪸1093)⨽⫖↰⪸2173⊴⫖↰⪸1846","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6868,"operation_count":3,"complexity_ratio":2289.3333333333335,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1839,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3687,"base":12},"right_expr":{"type":"numeric_atoms","value":2934,"base":12}}},"used_operators":["8HhzD0ZcuI","oWn0xqSxBt","Nsiff2A1zJ"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1839","layer":2},{"info":"compute unary expreesion, input=1839, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=3687","layer":2},{"info":"number node, value=2934","layer":2},{"info":"compute binary expreesion, left_input=3687, right_input=2934, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊙↵-⫖↰⪸1093)⨽⫖↰⪸2173⊴⫖↰⪸1846=NaN","reverse_text":"NaN=(⊙↵-⫖↰⪸1093)⨽⫖↰⪸2173⊴⫖↰⪸1846","cot":[{"info":"⊙↵-⫖↰⪸1093=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸2173⊴⫖↰⪸1846=NaN","layer":1},{"info":"⫖↰⪸-1⨽NaN=NaN","layer":0}]}
+{"id":147,"expression_no_base_symbol":"⨈⫕($3021$⇼⇔∾$1044$)","expression":"⨈⫕(⫖↰⪸18B9⇼⇔∾⫖↰⪸730)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":388,"operation_count":2,"complexity_ratio":194.0,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3021,"base":12},"right_expr":{"type":"numeric_atoms","value":1044,"base":12}}},"used_operators":["megm06wKyl","tifHPKVTfV"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3021","layer":2},{"info":"number node, value=1044","layer":2},{"info":"compute binary expreesion, left_input=3021, right_input=1044, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1977","layer":1},{"info":"compute unary expreesion, input=-1977, 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":12,"result_base":12,"text":"⨈⫕(⫖↰⪸18B9⇼⇔∾⫖↰⪸730)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=⨈⫕(⫖↰⪸18B9⇼⇔∾⫖↰⪸730)","cot":[{"info":"⫖↰⪸18B9⇼⇔∾⫖↰⪸730=⫖↰⪸-1189","layer":1},{"info":"⨈⫕⫖↰⪸-1189=⫖↰⪸-19","layer":0}]}
+{"id":148,"expression_no_base_symbol":"≉($2898$⊠≄⫣)","expression":"≉(⫖↰⪸1816⊠≄⫣)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2898,"base":12}}},"used_operators":["e1ybzncUwg","DIvbN7qnHd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸383","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2898","layer":2},{"info":"compute unary expreesion, input=2898, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":0}],"base":12,"result_base":12,"text":"≉(⫖↰⪸1816⊠≄⫣)=⫖↰⪸383","reverse_text":"⫖↰⪸383=≉(⫖↰⪸1816⊠≄⫣)","cot":[{"info":"⫖↰⪸1816⊠≄⫣=⫖↰⪸0","layer":1},{"info":"≉⫖↰⪸0=⫖↰⪸383","layer":0}]}
+{"id":149,"expression_no_base_symbol":"+⊝⨔($2004$-$1440$)","expression":"+⊝⨔(⫖↰⪸11B0-⫖↰⪸A00)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":41,"operation_count":2,"complexity_ratio":20.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2004,"base":12},"right_expr":{"type":"numeric_atoms","value":1440,"base":12}}},"used_operators":["DhbWaqg5eL","rysDP5nf3Z"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2004","layer":2},{"info":"number node, value=1440","layer":2},{"info":"compute binary expreesion, left_input=2004, right_input=1440, op_id = rysDP5nf3Z binary_op_definition= 'None', output=564","layer":1},{"info":"compute unary expreesion, input=564, 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":12,"result_base":12,"text":"+⊝⨔(⫖↰⪸11B0-⫖↰⪸A00)=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔(⫖↰⪸11B0-⫖↰⪸A00)","cot":[{"info":"⫖↰⪸11B0-⫖↰⪸A00=⫖↰⪸3B0","layer":1},{"info":"+⊝⨔⫖↰⪸3B0=⫖↰⪸A6A","layer":0}]}
+{"id":150,"expression_no_base_symbol":"$5380$*$3051$⊉≛↸(⫓⪴$2198$)","expression":"⫖↰⪸3144*⫖↰⪸1923⊉≛↸(⫓⪴⫖↰⪸1332)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5251,"operation_count":3,"complexity_ratio":1750.3333333333333,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5380,"base":12},"right_expr":{"type":"numeric_atoms","value":3051,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2198,"base":12}}},"used_operators":["DZ8iAZOCBD","9HNa5Wba9A","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A"],"result":"⫖↰⪸ABB2160","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5380","layer":2},{"info":"number node, value=3051","layer":2},{"info":"compute binary expreesion, left_input=5380, right_input=3051, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=16414380","layer":1},{"info":"number node, value=2198","layer":2},{"info":"compute unary expreesion, input=2198, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4831204","layer":1},{"info":"compute binary expreesion, left_input=16414380, right_input=4831204, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=32828760","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3144*⫖↰⪸1923⊉≛↸(⫓⪴⫖↰⪸1332)=⫖↰⪸ABB2160","reverse_text":"⫖↰⪸ABB2160=⫖↰⪸3144*⫖↰⪸1923⊉≛↸(⫓⪴⫖↰⪸1332)","cot":[{"info":"⫖↰⪸3144*⫖↰⪸1923=⫖↰⪸55B7090","layer":1},{"info":"⫓⪴⫖↰⪸1332=⫖↰⪸174BA04","layer":1},{"info":"⫖↰⪸55B7090⊉≛↸⫖↰⪸174BA04=⫖↰⪸ABB2160","layer":0}]}
+{"id":151,"expression_no_base_symbol":"($1820$⫸⊐$1329$)⋓($2081$⪒$1127$)","expression":"(⫖↰⪸1078⫸⊐⫖↰⪸929)⋓(⫖↰⪸1255⪒⫖↰⪸79B)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1820,"base":12},"right_expr":{"type":"numeric_atoms","value":1329,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2081,"base":12},"right_expr":{"type":"numeric_atoms","value":1127,"base":12}}},"used_operators":["T2fj7uvVaJ","mqXw5SEYmG","f6k1SAg4EE"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1820","layer":2},{"info":"number node, value=1329","layer":2},{"info":"compute binary expreesion, left_input=1820, right_input=1329, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5191","layer":1},{"info":"number node, value=2081","layer":2},{"info":"number node, value=1127","layer":2},{"info":"compute binary expreesion, left_input=2081, right_input=1127, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3208","layer":1},{"info":"compute binary expreesion, left_input=5191, right_input=-3208, 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":12,"result_base":12,"text":"(⫖↰⪸1078⫸⊐⫖↰⪸929)⋓(⫖↰⪸1255⪒⫖↰⪸79B)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸1078⫸⊐⫖↰⪸929)⋓(⫖↰⪸1255⪒⫖↰⪸79B)","cot":[{"info":"⫖↰⪸1078⫸⊐⫖↰⪸929=⫖↰⪸3007","layer":1},{"info":"⫖↰⪸1255⪒⫖↰⪸79B=⫖↰⪸-1A34","layer":1},{"info":"⫖↰⪸3007⋓⫖↰⪸-1A34=⫖↰⪸0","layer":0}]}
+{"id":152,"expression_no_base_symbol":"($8045$%$1988$)≹⇙⪍($5459$⋳⪒$2939$)","expression":"(⫖↰⪸47A5%⫖↰⪸1198)≹⇙⪍(⫖↰⪸31AB⋳⪒⫖↰⪸184B)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":8045,"base":12},"right_expr":{"type":"numeric_atoms","value":1988,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5459,"base":12},"right_expr":{"type":"numeric_atoms","value":2939,"base":12}}},"used_operators":["AHs5Up7iyr","k8jYdgA6NY","12rbrZMWeM"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=8045","layer":2},{"info":"number node, value=1988","layer":2},{"info":"compute binary expreesion, left_input=8045, right_input=1988, op_id = k8jYdgA6NY binary_op_definition= 'None', output=93","layer":1},{"info":"number node, value=5459","layer":2},{"info":"number node, value=2939","layer":2},{"info":"compute binary expreesion, left_input=5459, right_input=2939, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7692","layer":1},{"info":"compute binary expreesion, left_input=93, right_input=7692, 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":12,"result_base":12,"text":"(⫖↰⪸47A5%⫖↰⪸1198)≹⇙⪍(⫖↰⪸31AB⋳⪒⫖↰⪸184B)=NaN","reverse_text":"NaN=(⫖↰⪸47A5%⫖↰⪸1198)≹⇙⪍(⫖↰⪸31AB⋳⪒⫖↰⪸184B)","cot":[{"info":"⫖↰⪸47A5%⫖↰⪸1198=⫖↰⪸79","layer":1},{"info":"⫖↰⪸31AB⋳⪒⫖↰⪸184B=⫖↰⪸4550","layer":1},{"info":"⫖↰⪸79≹⇙⪍⫖↰⪸4550=NaN","layer":0}]}
+{"id":153,"expression_no_base_symbol":"($3974$↺$5049$)⩚⊴⇥($1087$⊉≛↸$3371$)","expression":"(⫖↰⪸2372↺⫖↰⪸2B09)⩚⊴⇥(⫖↰⪸767⊉≛↸⫖↰⪸1B4B)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3974,"base":12},"right_expr":{"type":"numeric_atoms","value":5049,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1087,"base":12},"right_expr":{"type":"numeric_atoms","value":3371,"base":12}}},"used_operators":["NTOWxs364D","7j4O788W3g","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-4300","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3974","layer":2},{"info":"number node, value=5049","layer":2},{"info":"compute binary expreesion, left_input=3974, right_input=5049, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5049","layer":1},{"info":"number node, value=1087","layer":2},{"info":"number node, value=3371","layer":2},{"info":"compute binary expreesion, left_input=1087, right_input=3371, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2174","layer":1},{"info":"compute binary expreesion, left_input=5049, right_input=2174, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7344","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2372↺⫖↰⪸2B09)⩚⊴⇥(⫖↰⪸767⊉≛↸⫖↰⪸1B4B)=⫖↰⪸-4300","reverse_text":"⫖↰⪸-4300=(⫖↰⪸2372↺⫖↰⪸2B09)⩚⊴⇥(⫖↰⪸767⊉≛↸⫖↰⪸1B4B)","cot":[{"info":"⫖↰⪸2372↺⫖↰⪸2B09=⫖↰⪸2B09","layer":1},{"info":"⫖↰⪸767⊉≛↸���↰⪸1B4B=⫖↰⪸1312","layer":1},{"info":"⫖↰⪸2B09⩚⊴⇥⫖↰⪸1312=⫖↰⪸-4300","layer":0}]}
+{"id":154,"expression_no_base_symbol":"$1996$⋓$2321$⊘","expression":"⫖↰⪸11A4⋓⫖↰⪸1415⊘","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":35,"operation_count":2,"complexity_ratio":17.5,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1996,"base":12},"right_expr":{"type":"numeric_atoms","value":2321,"base":12}}},"used_operators":["gu96TGCTMs","T2fj7uvVaJ"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1996","layer":2},{"info":"number node, value=2321","layer":2},{"info":"compute binary expreesion, left_input=1996, right_input=2321, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 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":12,"result_base":12,"text":"⫖↰⪸11A4⋓⫖↰⪸1415⊘=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫖↰⪸11A4⋓⫖↰⪸1415⊘","cot":[{"info":"⫖↰⪸11A4⋓⫖↰⪸1415=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⊘=⫖↰⪸0","layer":0}]}
+{"id":155,"expression_no_base_symbol":"$1932$≎⊠⪸$1627$⫡⨏$6048$+⇶⊼$3490$","expression":"⫖↰⪸1150≎⊠⪸⫖↰⪸B37⫡⨏⫖↰⪸3600+⇶⊼⫖↰⪸202A","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":278,"operation_count":3,"complexity_ratio":92.66666666666667,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1932,"base":12},"right_expr":{"type":"numeric_atoms","value":1627,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6048,"base":12},"right_expr":{"type":"numeric_atoms","value":3490,"base":12}}},"used_operators":["QMFrweE19q","bJkvcejdHO","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1932","layer":2},{"info":"number node, value=1627","layer":2},{"info":"compute binary expreesion, left_input=1932, right_input=1627, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=499915","layer":1},{"info":"number node, value=6048","layer":2},{"info":"number node, value=3490","layer":2},{"info":"compute binary expreesion, left_input=6048, right_input=3490, 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=499915, 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":12,"result_base":12,"text":"⫖↰⪸1150≎⊠⪸⫖↰⪸B37⫡⨏⫖↰⪸3600+⇶⊼⫖↰⪸202A=NaN","reverse_text":"NaN=⫖↰⪸1150≎⊠⪸⫖↰⪸B37⫡⨏⫖↰⪸3600+⇶⊼⫖↰⪸202A","cot":[{"info":"⫖↰⪸1150≎⊠⪸⫖↰⪸B37=⫖↰⪸201377","layer":1},{"info":"⫖↰⪸3600+⇶⊼⫖↰⪸202A=NaN","layer":1},{"info":"⫖↰⪸201377⫡⨏NaN=NaN","layer":0}]}
+{"id":156,"expression_no_base_symbol":"($3510$⨰$2481$)⨪↰⇹(↽≂$1239$)","expression":"(⫖↰⪸2046⨰⫖↰⪸1529)⨪↰⇹(↽≂⫖↰⪸873)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1048,"operation_count":3,"complexity_ratio":349.3333333333333,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3510,"base":12},"right_expr":{"type":"numeric_atoms","value":2481,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1239,"base":12}}},"used_operators":["tmPS8pqC7x","eewbuw0ToL","u6S6b8DprG"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸727","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3510","layer":2},{"info":"number node, value=2481","layer":2},{"info":"compute binary expreesion, left_input=3510, right_input=2481, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1039","layer":1},{"info":"number node, value=1239","layer":2},{"info":"compute unary expreesion, input=1239, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2478","layer":1},{"info":"compute binary expreesion, left_input=1039, right_input=-2478, 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=1039","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2046⨰⫖↰⪸1529)⨪↰⇹(↽≂⫖↰⪸873)=⫖↰⪸727","reverse_text":"⫖↰⪸727=(⫖↰⪸2046⨰⫖↰⪸1529)⨪↰⇹(↽≂⫖↰⪸873)","cot":[{"info":"⫖↰⪸2046⨰⫖↰⪸1529=⫖↰⪸727","layer":1},{"info":"↽≂⫖↰⪸873=⫖↰⪸-1526","layer":1},{"info":"⫖↰⪸727⨪↰⇹⫖↰⪸-1526=⫖↰⪸727","layer":0}]}
+{"id":157,"expression_no_base_symbol":"$7002$⪢$1724$⫸⊐($3737$∲⫓$1676$)","expression":"⫖↰⪸4076⪢⫖↰⪸BB8⫸⊐(⫖↰⪸21B5∲⫓⫖↰⪸B78)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2964,"operation_count":3,"complexity_ratio":988.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7002,"base":12},"right_expr":{"type":"numeric_atoms","value":1724,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3737,"base":12},"right_expr":{"type":"numeric_atoms","value":1676,"base":12}}},"used_operators":["mqXw5SEYmG","dWAJyo7jo9","i8ToyICDmI"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7002","layer":2},{"info":"number node, value=1724","layer":2},{"info":"compute binary expreesion, left_input=7002, right_input=1724, 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=3737","layer":2},{"info":"number node, value=1676","layer":2},{"info":"compute binary expreesion, left_input=3737, right_input=1676, 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=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":0}],"base":12,"result_base":12,"text":"⫖↰⪸4076⪢⫖↰⪸BB8⫸⊐(⫖↰⪸21B5∲⫓⫖↰⪸B78)=NaN","reverse_text":"NaN=⫖↰⪸4076⪢⫖↰⪸BB8⫸⊐(⫖↰⪸21B5∲⫓⫖↰⪸B78)","cot":[{"info":"⫖↰⪸4076⪢⫖↰⪸BB8=NaN","layer":1},{"info":"⫖↰⪸21B5∲⫓⫖↰⪸B78=⫖↰⪸0","layer":1},{"info":"NaN⫸⊐⫖↰⪸0=NaN","layer":0}]}
+{"id":158,"expression_no_base_symbol":"(∂$1573$)⋷$1150$⨓$2223$","expression":"(∂⫖↰⪸AB1)⋷⫖↰⪸7BA⨓⫖↰⪸1353","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2232,"operation_count":3,"complexity_ratio":744.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1573,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1150,"base":12},"right_expr":{"type":"numeric_atoms","value":2223,"base":12}}},"used_operators":["23Mk6UjR3U","Uaa54Peajs","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1573","layer":2},{"info":"compute unary expreesion, input=1573, 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=1150","layer":2},{"info":"number node, value=2223","layer":2},{"info":"compute binary expreesion, left_input=1150, right_input=2223, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2226","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2226, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∂⫖↰⪸AB1)⋷⫖↰⪸7BA⨓⫖↰⪸1353=NaN","reverse_text":"NaN=(∂⫖↰⪸AB1)⋷⫖↰⪸7BA⨓⫖↰⪸1353","cot":[{"info":"∂⫖↰⪸AB1=NaN","layer":1},{"info":"⫖↰⪸7BA⨓⫖↰⪸1353=⫖↰⪸-1356","layer":1},{"info":"NaN⋷⫖↰⪸-1356=NaN","layer":0}]}
+{"id":159,"expression_no_base_symbol":"(+⊝⨔$3036$)≧⫂∧($5575$⫸⊐$4174$)","expression":"(+⊝⨔⫖↰⪸1910)≧⫂∧(⫖↰⪸3287⫸⊐⫖↰⪸24BA)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65,"operation_count":3,"complexity_ratio":21.666666666666668,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3036,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5575,"base":12},"right_expr":{"type":"numeric_atoms","value":4174,"base":12}}},"used_operators":["Ph9nP6C5qx","DhbWaqg5eL","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸9396","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3036","layer":2},{"info":"compute unary expreesion, input=3036, 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=5575","layer":2},{"info":"number node, value=4174","layer":2},{"info":"compute binary expreesion, left_input=5575, right_input=4174, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=16571","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=16571, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=16098","layer":0}],"base":12,"result_base":12,"text":"(+⊝⨔⫖↰⪸1910)≧⫂∧(⫖↰⪸3287⫸⊐⫖↰⪸24BA)=⫖↰⪸9396","reverse_text":"⫖↰⪸9396=(+⊝⨔⫖↰⪸1910)≧⫂∧(⫖↰⪸3287⫸⊐⫖↰⪸24BA)","cot":[{"info":"+⊝⨔⫖↰⪸1910=⫖↰⪸A6A","layer":1},{"info":"⫖↰⪸3287⫸⊐⫖↰⪸24BA=⫖↰⪸970B","layer":1},{"info":"⫖↰⪸A6A≧⫂∧⫖↰⪸970B=⫖↰⪸9396","layer":0}]}
+{"id":160,"expression_no_base_symbol":"$8165$%$1140$/($3953$⋷$5043$)","expression":"⫖↰⪸4885%⫖↰⪸7B0/(⫖↰⪸2355⋷⫖↰⪸2B03)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":8165,"base":12},"right_expr":{"type":"numeric_atoms","value":1140,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3953,"base":12},"right_expr":{"type":"numeric_atoms","value":5043,"base":12}}},"used_operators":["XhwjNDsVaA","k8jYdgA6NY","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=8165","layer":2},{"info":"number node, value=1140","layer":2},{"info":"compute binary expreesion, left_input=8165, right_input=1140, op_id = k8jYdgA6NY binary_op_definition= 'None', output=185","layer":1},{"info":"number node, value=3953","layer":2},{"info":"number node, value=5043","layer":2},{"info":"compute binary expreesion, left_input=3953, right_input=5043, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6133","layer":1},{"info":"compute binary expreesion, left_input=185, right_input=6133, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸4885%⫖↰⪸7B0/(⫖↰⪸2355⋷⫖↰⪸2B03)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫖↰⪸4885%⫖↰⪸7B0/(⫖↰⪸2355⋷⫖↰⪸2B03)","cot":[{"info":"⫖↰⪸4885%⫖↰⪸7B0=⫖↰⪸135","layer":1},{"info":"⫖↰⪸2355⋷⫖↰⪸2B03=⫖↰⪸3671","layer":1},{"info":"⫖↰⪸135/⫖↰⪸3671=⫖↰⪸0","layer":0}]}
+{"id":161,"expression_no_base_symbol":"$5316$⪮%⊝$3089$∲⫓(⋗⩬⋾$2012$)","expression":"⫖↰⪸30B0⪮%⊝⫖↰⪸1955∲⫓(⋗⩬⋾⫖↰⪸11B8)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5316,"base":12},"right_expr":{"type":"numeric_atoms","value":3089,"base":12}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2012,"base":12}}},"used_operators":["i8ToyICDmI","IWmyXbctLI","DpFCA1CohY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸6404","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5316","layer":2},{"info":"number node, value=3089","layer":2},{"info":"compute binary expreesion, left_input=5316, right_input=3089, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10948","layer":1},{"info":"number node, value=2012","layer":2},{"info":"compute unary expreesion, input=2012, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6036","layer":1},{"info":"compute binary expreesion, left_input=10948, right_input=-6036, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=10948","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸30B0⪮%⊝⫖↰⪸1955∲⫓(⋗⩬⋾⫖↰⪸11B8)=⫖↰⪸6404","reverse_text":"⫖↰⪸6404=⫖↰⪸30B0⪮%⊝⫖↰⪸1955∲⫓(⋗⩬⋾⫖↰⪸11B8)","cot":[{"info":"⫖↰⪸30B0⪮%⊝⫖↰⪸1955=⫖↰⪸6404","layer":1},{"info":"⋗⩬⋾⫖↰⪸11B8=⫖↰⪸-35B0","layer":1},{"info":"⫖↰⪸6404∲⫓⫖↰⪸-35B0=⫖↰⪸6404","layer":0}]}
+{"id":162,"expression_no_base_symbol":"$1293$⪘⫢$1123$⨸⪁(⨞⊢$2093$)","expression":"⫖↰⪸8B9⪘⫢⫖↰⪸797⨸⪁(⨞⊢⫖↰⪸1265)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1293,"base":12},"right_expr":{"type":"numeric_atoms","value":1123,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2093,"base":12}}},"used_operators":["g55IO6H4Gj","oacrs7FA3X","xUOZtlo3hN"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸286","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1293","layer":2},{"info":"number node, value=1123","layer":2},{"info":"compute binary expreesion, left_input=1293, right_input=1123, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2462","layer":1},{"info":"number node, value=2093","layer":2},{"info":"compute unary expreesion, input=2093, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2267","layer":1},{"info":"compute binary expreesion, left_input=2462, right_input=-2267, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=390","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸8B9⪘⫢⫖↰⪸797⨸⪁(⨞⊢⫖↰⪸1265)=⫖↰⪸286","reverse_text":"⫖↰⪸286=⫖↰⪸8B9⪘⫢⫖↰⪸797⨸⪁(⨞⊢⫖↰⪸1265)","cot":[{"info":"⫖↰⪸8B9⪘⫢⫖↰⪸797=⫖↰⪸1512","layer":1},{"info":"⨞⊢⫖↰⪸1265=⫖↰⪸-138B","layer":1},{"info":"⫖↰⪸1512⨸⪁⫖↰⪸-138B=⫖↰⪸286","layer":0}]}
+{"id":163,"expression_no_base_symbol":"+⊝⨔($1572$⨪↰⇹$1154$)","expression":"+⊝⨔(⫖↰⪸AB0⨪↰⇹⫖↰⪸802)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1612,"operation_count":2,"complexity_ratio":806.0,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1572,"base":12},"right_expr":{"type":"numeric_atoms","value":1154,"base":12}}},"used_operators":["DhbWaqg5eL","tmPS8pqC7x"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rJVOvQCfKK"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1572","layer":2},{"info":"number node, value=1154","layer":2},{"info":"compute binary expreesion, left_input=1572, right_input=1154, 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=1572","layer":1},{"info":"compute unary expreesion, input=1572, 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":12,"result_base":12,"text":"+⊝⨔(⫖↰⪸AB0⨪↰⇹⫖↰⪸802)=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔(⫖↰⪸AB0⨪↰⇹⫖↰⪸802)","cot":[{"info":"⫖↰⪸AB0⨪↰⇹⫖↰⪸802=⫖↰⪸AB0","layer":1},{"info":"+⊝⨔⫖↰⪸AB0=⫖↰⪸A6A","layer":0}]}
+{"id":164,"expression_no_base_symbol":"(⨞⊢$1951$)∲⫓(↯⪼$4403$)","expression":"(⨞⊢⫖↰⪸1167)∲⫓(↯⪼⫖↰⪸266B)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1951,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4403,"base":12}}},"used_operators":["i8ToyICDmI","xUOZtlo3hN","8jW3W4yZS5"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⫖↰⪸-1291","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1951","layer":2},{"info":"compute unary expreesion, input=1951, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2125","layer":1},{"info":"number node, value=4403","layer":2},{"info":"compute unary expreesion, input=4403, 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=-2125, right_input=-21, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-2125","layer":0}],"base":12,"result_base":12,"text":"(⨞⊢⫖↰⪸1167)∲⫓(↯⪼⫖↰⪸266B)=⫖↰⪸-1291","reverse_text":"⫖↰⪸-1291=(⨞⊢⫖↰⪸1167)∲⫓(↯⪼⫖↰⪸266B)","cot":[{"info":"⨞⊢⫖↰⪸1167=⫖↰⪸-1291","layer":1},{"info":"↯⪼⫖↰⪸266B=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸-1291∲⫓⫖↰⪸-19=⫖↰⪸-1291","layer":0}]}
+{"id":165,"expression_no_base_symbol":"($2485$⋷$3937$)*($1508$⩨$3046$)","expression":"(⫖↰⪸1531⋷⫖↰⪸2341)*(⫖↰⪸A58⩨⫖↰⪸191A)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2485,"base":12},"right_expr":{"type":"numeric_atoms","value":3937,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1508,"base":12},"right_expr":{"type":"numeric_atoms","value":3046,"base":12}}},"used_operators":["9HNa5Wba9A","23Mk6UjR3U","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸-16866","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2485","layer":2},{"info":"number node, value=3937","layer":2},{"info":"compute binary expreesion, left_input=2485, right_input=3937, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5389","layer":1},{"info":"number node, value=1508","layer":2},{"info":"number node, value=3046","layer":2},{"info":"compute binary expreesion, left_input=1508, right_input=3046, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":1},{"info":"compute binary expreesion, left_input=5389, right_input=-6, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-32334","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1531⋷⫖↰⪸2341)*(⫖↰⪸A58⩨⫖↰⪸191A)=⫖↰⪸-16866","reverse_text":"⫖↰⪸-16866=(⫖↰⪸1531⋷⫖↰⪸2341)*(⫖↰⪸A58⩨⫖↰⪸191A)","cot":[{"info":"⫖↰⪸1531⋷⫖↰⪸2341=⫖↰⪸3151","layer":1},{"info":"⫖↰⪸A58⩨⫖↰⪸191A=⫖↰⪸-6","layer":1},{"info":"⫖↰⪸3151*⫖↰⪸-6=⫖↰⪸-16866","layer":0}]}
+{"id":166,"expression_no_base_symbol":"$2175$∼$1538$⊪","expression":"⫖↰⪸1313∼⫖↰⪸A82⊪","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":57,"operation_count":2,"complexity_ratio":28.5,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2175,"base":12},"right_expr":{"type":"numeric_atoms","value":1538,"base":12}}},"used_operators":["zVYPLywUTj","DyGG3AbaNP"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2175","layer":2},{"info":"number node, value=1538","layer":2},{"info":"compute binary expreesion, left_input=2175, right_input=1538, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":12,"result_base":12,"text":"⫖↰⪸1313∼⫖↰⪸A82⊪=NaN","reverse_text":"NaN=⫖↰⪸1313∼⫖↰⪸A82⊪","cot":[{"info":"⫖↰⪸1313∼⫖↰⪸A82=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
+{"id":167,"expression_no_base_symbol":"$2035$⋝⋈⪟$2322$≭$2012$⇷$2778$","expression":"⫖↰⪸1217⋝⋈⪟⫖↰⪸1416≭⫖↰⪸11B8⇷⫖↰⪸1736","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28178,"operation_count":3,"complexity_ratio":9392.666666666666,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2035,"base":12},"right_expr":{"type":"numeric_atoms","value":2322,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2012,"base":12},"right_expr":{"type":"numeric_atoms","value":2778,"base":12}}},"used_operators":["rxpJgHHUmx","2DDjHMKMc0","mp7IySMOzn"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2035","layer":2},{"info":"number node, value=2322","layer":2},{"info":"compute binary expreesion, left_input=2035, right_input=2322, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2035","layer":1},{"info":"number node, value=2012","layer":2},{"info":"number node, value=2778","layer":2},{"info":"compute binary expreesion, left_input=2012, right_input=2778, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5556","layer":1},{"info":"compute binary expreesion, left_input=2035, right_input=5556, 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":12,"result_base":12,"text":"⫖↰⪸1217⋝⋈⪟⫖↰⪸1416≭⫖↰⪸11B8⇷⫖↰⪸1736=NaN","reverse_text":"NaN=⫖↰⪸1217⋝⋈⪟⫖↰⪸1416≭⫖↰⪸11B8⇷⫖↰⪸1736","cot":[{"info":"⫖↰⪸1217⋝⋈⪟⫖↰⪸1416=⫖↰⪸1217","layer":1},{"info":"⫖↰⪸11B8⇷⫖↰⪸1736=⫖↰⪸3270","layer":1},{"info":"⫖↰⪸1217≭⫖↰⪸3270=NaN","layer":0}]}
+{"id":168,"expression_no_base_symbol":"$4069$⪢$1686$⨳⩥⨓$2399$⨰$1525$","expression":"⫖↰⪸2431⪢⫖↰⪸B86⨳⩥⨓⫖↰⪸147B⨰⫖↰⪸A71","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6553,"operation_count":3,"complexity_ratio":2184.3333333333335,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4069,"base":12},"right_expr":{"type":"numeric_atoms","value":1686,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2399,"base":12},"right_expr":{"type":"numeric_atoms","value":1525,"base":12}}},"used_operators":["nCS4ZIUYfx","dWAJyo7jo9","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4069","layer":2},{"info":"number node, value=1686","layer":2},{"info":"compute binary expreesion, left_input=4069, right_input=1686, 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=2399","layer":2},{"info":"number node, value=1525","layer":2},{"info":"compute binary expreesion, left_input=2399, right_input=1525, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=884","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=884, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2431⪢⫖↰⪸B86⨳⩥⨓⫖↰⪸147B⨰⫖↰⪸A71=NaN","reverse_text":"NaN=⫖↰⪸2431⪢⫖↰⪸B86⨳⩥⨓⫖↰⪸147B⨰⫖↰⪸A71","cot":[{"info":"⫖↰⪸2431⪢⫖↰⪸B86=NaN","layer":1},{"info":"⫖↰⪸147B⨰⫖↰⪸A71=⫖↰⪸618","layer":1},{"info":"NaN⨳⩥⨓⫖↰⪸618=NaN","layer":0}]}
+{"id":169,"expression_no_base_symbol":"$8478$⨓$2789$≭(+⊝⨔$2669$)","expression":"⫖↰⪸4AA6⨓⫖↰⪸1745≭(+⊝⨔⫖↰⪸1665)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2836,"operation_count":3,"complexity_ratio":945.3333333333334,"tree":{"type":"binary","operator":"���","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":8478,"base":12},"right_expr":{"type":"numeric_atoms","value":2789,"base":12}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2669,"base":12}}},"used_operators":["rxpJgHHUmx","3ViojmjbAp","DhbWaqg5eL"],"dependent_operators":["AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8478","layer":2},{"info":"number node, value=2789","layer":2},{"info":"compute binary expreesion, left_input=8478, right_input=2789, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2792","layer":1},{"info":"number node, value=2669","layer":2},{"info":"compute unary expreesion, input=2669, 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=-2792, right_input=1522, 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":12,"result_base":12,"text":"⫖↰⪸4AA6⨓⫖↰⪸1745≭(+⊝⨔⫖↰⪸1665)=NaN","reverse_text":"NaN=⫖↰⪸4AA6⨓⫖↰⪸1745≭(+⊝⨔⫖↰⪸1665)","cot":[{"info":"⫖↰⪸4AA6⨓⫖↰⪸1745=⫖↰⪸-1748","layer":1},{"info":"+⊝⨔⫖↰⪸1665=⫖↰⪸A6A","layer":1},{"info":"⫖↰⪸-1748≭⫖↰⪸A6A=NaN","layer":0}]}
+{"id":170,"expression_no_base_symbol":"($1159$≣⋋)⇷($1656$⫡⨏$7562$)","expression":"(⫖↰⪸807≣⋋)⇷(⫖↰⪸B60⫡⨏⫖↰⪸4462)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":528,"operation_count":3,"complexity_ratio":176.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1159,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1656,"base":12},"right_expr":{"type":"numeric_atoms","value":7562,"base":12}}},"used_operators":["mp7IySMOzn","Tcnh7f0tEr","QMFrweE19q"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸23BB2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1159","layer":2},{"info":"compute unary expreesion, input=1159, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"number node, value=1656","layer":2},{"info":"number node, value=7562","layer":2},{"info":"compute binary expreesion, left_input=1656, right_input=7562, 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=24187","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=24187, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=48374","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸807≣⋋)⇷(⫖↰⪸B60⫡⨏⫖↰⪸4462)=⫖↰⪸23BB2","reverse_text":"⫖↰⪸23BB2=(⫖↰⪸807≣⋋)⇷(⫖↰⪸B60⫡⨏⫖↰⪸4462)","cot":[{"info":"⫖↰⪸807≣⋋=⫖↰⪸0","layer":1},{"info":"⫖↰⪸B60⫡⨏⫖↰⪸4462=⫖↰⪸11BB7","layer":1},{"info":"⫖↰⪸0⇷⫖↰⪸11BB7=⫖↰⪸23BB2","layer":0}]}
+{"id":171,"expression_no_base_symbol":"($4809$⫌⩹⨱)%($1111$⩤)","expression":"(⫖↰⪸2949⫌⩹⨱)%(⫖↰⪸787⩤)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17,"operation_count":3,"complexity_ratio":5.666666666666667,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4809,"base":12}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1111,"base":12}}},"used_operators":["k8jYdgA6NY","EBcxylXtPf","Z2TMIBDE3Q"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-77","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4809","layer":2},{"info":"compute unary expreesion, input=4809, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=11019","layer":1},{"info":"number node, value=1111","layer":2},{"info":"compute unary expreesion, input=1111, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1111","layer":1},{"info":"compute binary expreesion, left_input=11019, right_input=-1111, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-91","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2949⫌⩹⨱)%(⫖↰⪸787⩤)=⫖↰⪸-77","reverse_text":"⫖↰⪸-77=(⫖↰⪸2949⫌⩹⨱)%(⫖↰⪸787⩤)","cot":[{"info":"⫖↰⪸2949⫌⩹⨱=⫖↰⪸6463","layer":1},{"info":"⫖↰⪸787⩤=⫖↰⪸-787","layer":1},{"info":"⫖↰⪸6463%⫖↰⪸-787=⫖↰⪸-77","layer":0}]}
+{"id":172,"expression_no_base_symbol":"($4187$↙$3387$)≧⫂∧($1723$⨸⪁$1203$)","expression":"(⫖↰⪸250B↙⫖↰⪸1B63)≧⫂∧(⫖↰⪸BB7⨸⪁⫖↰⪸843)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3394,"operation_count":3,"complexity_ratio":1131.3333333333333,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4187,"base":12},"right_expr":{"type":"numeric_atoms","value":3387,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1723,"base":12},"right_expr":{"type":"numeric_atoms","value":1203,"base":12}}},"used_operators":["Ph9nP6C5qx","yyfyN0ffXY","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸3143","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4187","layer":2},{"info":"number node, value=3387","layer":2},{"info":"compute binary expreesion, left_input=4187, right_input=3387, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10161","layer":1},{"info":"number node, value=1723","layer":2},{"info":"number node, value=1203","layer":2},{"info":"compute binary expreesion, left_input=1723, right_input=1203, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5852","layer":1},{"info":"compute binary expreesion, left_input=-10161, right_input=5852, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5379","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸250B↙⫖↰⪸1B63)≧⫂∧(⫖↰⪸BB7⨸⪁⫖↰⪸843)=⫖↰⪸3143","reverse_text":"⫖↰⪸3143=(⫖↰⪸250B↙⫖↰⪸1B63)≧⫂∧(⫖↰⪸BB7⨸⪁⫖↰⪸843)","cot":[{"info":"⫖↰⪸250B↙⫖↰⪸1B63=⫖↰⪸-5A69","layer":1},{"info":"⫖↰⪸BB7⨸⪁⫖↰⪸843=⫖↰⪸3478","layer":1},{"info":"⫖↰⪸-5A69≧⫂∧⫖↰⪸3478=⫖↰⪸3143","layer":0}]}
+{"id":173,"expression_no_base_symbol":"(↽≂$2308$)⨓($3149$⫡⨏$4754$)","expression":"(↽≂⫖↰⪸1404)⨓(⫖↰⪸19A5⫡⨏⫖↰⪸2902)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26052,"operation_count":3,"complexity_ratio":8684.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2308,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3149,"base":12},"right_expr":{"type":"numeric_atoms","value":4754,"base":12}}},"used_operators":["3ViojmjbAp","u6S6b8DprG","QMFrweE19q"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-1309B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2308","layer":2},{"info":"compute unary expreesion, input=2308, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4616","layer":1},{"info":"number node, value=3149","layer":2},{"info":"number node, value=4754","layer":2},{"info":"compute binary expreesion, left_input=3149, right_input=4754, 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=26036","layer":1},{"info":"compute binary expreesion, left_input=-4616, right_input=26036, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-26039","layer":0}],"base":12,"result_base":12,"text":"(↽≂⫖↰⪸1404)⨓(⫖↰⪸19A5⫡⨏⫖↰⪸2902)=⫖↰⪸-1309B","reverse_text":"⫖↰⪸-1309B=(↽≂⫖↰⪸1404)⨓(⫖↰⪸19A5⫡⨏⫖↰⪸2902)","cot":[{"info":"↽≂⫖↰⪸1404=⫖↰⪸-2808","layer":1},{"info":"⫖↰⪸19A5⫡⨏⫖↰⪸2902=⫖↰⪸13098","layer":1},{"info":"⫖↰⪸-2808⨓⫖↰⪸13098=⫖↰⪸-1309B","layer":0}]}
+{"id":174,"expression_no_base_symbol":"($1572$⇋≉)⫸⊐$2126$⇷$1590$","expression":"(⫖↰⪸AB0⇋≉)⫸⊐⫖↰⪸1292⇷⫖↰⪸B06","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29797,"operation_count":3,"complexity_ratio":9932.333333333334,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1572,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2126,"base":12},"right_expr":{"type":"numeric_atoms","value":1590,"base":12}}},"used_operators":["mqXw5SEYmG","XIabStNQrY","mp7IySMOzn"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸7357","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1572","layer":2},{"info":"compute unary expreesion, input=1572, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3046","layer":1},{"info":"number node, value=2126","layer":2},{"info":"number node, value=1590","layer":2},{"info":"compute binary expreesion, left_input=2126, right_input=1590, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3180","layer":1},{"info":"compute binary expreesion, left_input=3046, right_input=3180, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12595","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸AB0⇋≉)⫸⊐⫖↰⪸1292⇷⫖↰⪸B06=⫖↰⪸7357","reverse_text":"⫖↰⪸7357=(⫖↰⪸AB0⇋≉)⫸⊐⫖↰⪸1292⇷⫖↰⪸B06","cot":[{"info":"⫖↰⪸AB0⇋≉=⫖↰⪸191A","layer":1},{"info":"⫖↰⪸1292⇷⫖↰⪸B06=⫖↰⪸1A10","layer":1},{"info":"⫖↰⪸191A⫸⊐⫖↰⪸1A10=⫖↰⪸7357","layer":0}]}
+{"id":175,"expression_no_base_symbol":"$2376$↙$1002$%(≤/$2422$)","expression":"⫖↰⪸1460↙⫖↰⪸6B6%(≤/⫖↰⪸149A)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1007,"operation_count":3,"complexity_ratio":335.6666666666667,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2376,"base":12},"right_expr":{"type":"numeric_atoms","value":1002,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2422,"base":12}}},"used_operators":["k8jYdgA6NY","yyfyN0ffXY","eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z"],"result":"⫖↰⪸-750","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2376","layer":2},{"info":"number node, value=1002","layer":2},{"info":"compute binary expreesion, left_input=2376, right_input=1002, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3006","layer":1},{"info":"number node, value=2422","layer":2},{"info":"compute unary expreesion, input=2422, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1938","layer":1},{"info":"compute binary expreesion, left_input=-3006, right_input=-1938, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-1068","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1460↙⫖↰⪸6B6%(≤/⫖↰⪸149A)=⫖↰⪸-750","reverse_text":"⫖↰⪸-750=⫖↰⪸1460↙⫖↰⪸6B6%(≤/⫖↰⪸149A)","cot":[{"info":"⫖↰⪸1460↙⫖↰⪸6B6=⫖↰⪸-18A6","layer":1},{"info":"≤/⫖↰⪸149A=⫖↰⪸-1156","layer":1},{"info":"⫖↰⪸-18A6%⫖↰⪸-1156=⫖↰⪸-750","layer":0}]}
+{"id":176,"expression_no_base_symbol":"($1071$⫡⨏$4328$)⨰($2015$↙$3061$)","expression":"(⫖↰⪸753⫡⨏⫖↰⪸2608)⨰(⫖↰⪸11BB↙⫖↰⪸1931)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3077,"operation_count":3,"complexity_ratio":1025.6666666666667,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1071,"base":12},"right_expr":{"type":"numeric_atoms","value":4328,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2015,"base":12},"right_expr":{"type":"numeric_atoms","value":3061,"base":12}}},"used_operators":["eewbuw0ToL","QMFrweE19q","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⫖↰⪸11A6B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1071","layer":2},{"info":"number node, value=4328","layer":2},{"info":"compute binary expreesion, left_input=1071, right_input=4328, 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=14794","layer":1},{"info":"number node, value=2015","layer":2},{"info":"number node, value=3061","layer":2},{"info":"compute binary expreesion, left_input=2015, right_input=3061, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9183","layer":1},{"info":"compute binary expreesion, left_input=14794, right_input=-9183, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=23987","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸753⫡⨏⫖↰⪸2608)⨰(⫖↰⪸11BB↙⫖↰⪸1931)=⫖↰⪸11A6B","reverse_text":"⫖↰⪸11A6B=(⫖↰⪸753⫡⨏⫖↰⪸2608)⨰(⫖↰⪸11BB↙⫖↰⪸1931)","cot":[{"info":"⫖↰⪸753⫡⨏⫖↰⪸2608=⫖↰⪸868A","layer":1},{"info":"⫖↰⪸11BB↙⫖↰⪸1931=⫖↰⪸-5393","layer":1},{"info":"⫖↰⪸868A⨰⫖↰⪸-5393=⫖↰⪸11A6B","layer":0}]}
+{"id":177,"expression_no_base_symbol":"($1551$⨳⩥⨓$3828$)⨪↰⇹($4521$⨵⪆$6737$)","expression":"(⫖↰⪸A93⨳⩥⨓⫖↰⪸2270)⨪↰⇹(⫖↰⪸2749⨵⪆⫖↰⪸3A95)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2281,"operation_count":3,"complexity_ratio":760.3333333333334,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1551,"base":12},"right_expr":{"type":"numeric_atoms","value":3828,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4521,"base":12},"right_expr":{"type":"numeric_atoms","value":6737,"base":12}}},"used_operators":["tmPS8pqC7x","nCS4ZIUYfx","2DQ55sFlQl"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸1399","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1551","layer":2},{"info":"number node, value=3828","layer":2},{"info":"compute binary expreesion, left_input=1551, right_input=3828, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2277","layer":1},{"info":"number node, value=4521","layer":2},{"info":"number node, value=6737","layer":2},{"info":"compute binary expreesion, left_input=4521, right_input=6737, 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=2277, right_input=160, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2277","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A93⨳⩥⨓⫖↰⪸2270)⨪↰⇹(⫖↰⪸2749⨵⪆⫖↰⪸3A95)=⫖↰⪸1399","reverse_text":"⫖↰⪸1399=(⫖↰⪸A93⨳⩥⨓⫖↰⪸2270)⨪↰⇹(⫖↰⪸2749⨵⪆⫖↰⪸3A95)","cot":[{"info":"⫖↰⪸A93⨳⩥⨓⫖↰⪸2270=⫖↰⪸1399","layer":1},{"info":"⫖↰⪸2749⨵⪆⫖↰⪸3A95=⫖↰⪸114","layer":1},{"info":"⫖↰⪸1399⨪↰⇹⫖↰⪸114=⫖↰⪸1399","layer":0}]}
+{"id":178,"expression_no_base_symbol":"($1499$↙$1144$)⨰($5972$⩨$1914$)","expression":"(⫖↰⪸A4B↙⫖↰⪸7B4)⨰(⫖↰⪸3558⩨⫖↰⪸1136)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1157,"operation_count":3,"complexity_ratio":385.6666666666667,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1499,"base":12},"right_expr":{"type":"numeric_atoms","value":1144,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5972,"base":12},"right_expr":{"type":"numeric_atoms","value":1914,"base":12}}},"used_operators":["eewbuw0ToL","yyfyN0ffXY","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸-1B92","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1499","layer":2},{"info":"number node, value=1144","layer":2},{"info":"compute binary expreesion, left_input=1499, right_input=1144, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3432","layer":1},{"info":"number node, value=5972","layer":2},{"info":"number node, value=1914","layer":2},{"info":"compute binary expreesion, left_input=5972, right_input=1914, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-3432, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3422","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A4B↙⫖↰⪸7B4)⨰(⫖↰⪸3558⩨⫖↰⪸1136)=⫖↰⪸-1B92","reverse_text":"⫖↰⪸-1B92=(⫖↰⪸A4B↙⫖↰⪸7B4)⨰(⫖↰⪸3558⩨⫖↰⪸1136)","cot":[{"info":"⫖↰⪸A4B↙⫖↰⪸7B4=⫖↰⪸-1BA0","layer":1},{"info":"⫖↰⪸3558⩨⫖↰⪸1136=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-1BA0⨰⫖↰⪸0=⫖↰⪸-1B92","layer":0}]}
+{"id":179,"expression_no_base_symbol":"(⊄⩳↩$3770$)⩷∴$2009$∼$1742$","expression":"(⊄⩳↩⫖↰⪸2222)⩷∴⫖↰⪸11B5∼⫖↰⪸1012","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":50,"operation_count":3,"complexity_ratio":16.666666666666668,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3770,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2009,"base":12},"right_expr":{"type":"numeric_atoms","value":1742,"base":12}}},"used_operators":["9FxExcQeMw","8w2t5hMYqp","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3770","layer":2},{"info":"compute unary expreesion, input=3770, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-11310","layer":1},{"info":"number node, value=2009","layer":2},{"info":"number node, value=1742","layer":2},{"info":"compute binary expreesion, left_input=2009, right_input=1742, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-11310, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊄⩳↩⫖↰⪸2222)⩷∴⫖↰⪸11B5∼⫖↰⪸1012=NaN","reverse_text":"NaN=(⊄⩳↩⫖↰⪸2222)⩷∴⫖↰⪸11B5∼⫖↰⪸1012","cot":[{"info":"⊄⩳↩⫖↰⪸2222=⫖↰⪸-6666","layer":1},{"info":"⫖↰⪸11B5∼⫖↰⪸1012=NaN","layer":1},{"info":"⫖↰⪸-6666⩷∴NaN=NaN","layer":0}]}
+{"id":180,"expression_no_base_symbol":"(⊙↵-$4163$)⫥∨⫟($1199$⋥≓≎$9236$)","expression":"(⊙↵-⫖↰⪸24AB)⫥∨⫟(⫖↰⪸83B⋥≓≎⫖↰⪸5418)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4367,"operation_count":3,"complexity_ratio":1455.6666666666667,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4163,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1199,"base":12},"right_expr":{"type":"numeric_atoms","value":9236,"base":12}}},"used_operators":["KYD54nUTWz","oWn0xqSxBt","Qy55tPpLXF"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4163","layer":2},{"info":"compute unary expreesion, input=4163, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=1199","layer":2},{"info":"number node, value=9236","layer":2},{"info":"compute binary expreesion, left_input=1199, right_input=9236, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=17306","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=17306, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊙↵-⫖↰⪸24AB)⫥∨⫟(⫖↰⪸83B⋥≓≎⫖↰⪸5418)=NaN","reverse_text":"NaN=(⊙↵-⫖↰⪸24AB)⫥∨⫟(⫖↰⪸83B⋥≓≎⫖↰⪸5418)","cot":[{"info":"⊙↵-⫖↰⪸24AB=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸83B⋥≓≎⫖↰⪸5418=⫖↰⪸A022","layer":1},{"info":"⫖↰⪸-1⫥∨⫟⫖↰⪸A022=NaN","layer":0}]}
+{"id":181,"expression_no_base_symbol":"$1752$⨓$7548$⪄$1468$≹⇙⪍$1223$","expression":"⫖↰⪸1020⨓⫖↰⪸4450⪄⫖↰⪸A24≹⇙⪍⫖↰⪸85B","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7647,"operation_count":3,"complexity_ratio":2549.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1752,"base":12},"right_expr":{"type":"numeric_atoms","value":7548,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1468,"base":12},"right_expr":{"type":"numeric_atoms","value":1223,"base":12}}},"used_operators":["SUmda5xLS4","3ViojmjbAp","AHs5Up7iyr"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1752","layer":2},{"info":"number node, value=7548","layer":2},{"info":"compute binary expreesion, left_input=1752, right_input=7548, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7551","layer":1},{"info":"number node, value=1468","layer":2},{"info":"number node, value=1223","layer":2},{"info":"compute binary expreesion, left_input=1468, right_input=1223, 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=-7551, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1020⨓⫖↰⪸4450⪄⫖↰⪸A24≹⇙⪍⫖↰⪸85B=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=⫖↰⪸1020⨓⫖↰⪸4450⪄⫖↰⪸A24≹⇙⪍⫖↰⪸85B","cot":[{"info":"⫖↰⪸1020⨓⫖↰⪸4450=⫖↰⪸-4453","layer":1},{"info":"⫖↰⪸A24≹⇙⪍⫖↰⪸85B=NaN","layer":1},{"info":"⫖↰⪸-4453⪄NaN=⫖↰⪸2377","layer":0}]}
+{"id":182,"expression_no_base_symbol":"$2227$⇷$6494$⪄($2074$⨸⪁$7717$)","expression":"⫖↰⪸1357⇷⫖↰⪸3912⪄(⫖↰⪸124A⨸⪁⫖↰⪸4571)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":31282,"operation_count":3,"complexity_ratio":10427.333333333334,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2227,"base":12},"right_expr":{"type":"numeric_atoms","value":6494,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2074,"base":12},"right_expr":{"type":"numeric_atoms","value":7717,"base":12}}},"used_operators":["SUmda5xLS4","mp7IySMOzn","g55IO6H4Gj"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe"],"result":"⫖↰⪸-803569","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2227","layer":2},{"info":"number node, value=6494","layer":2},{"info":"compute binary expreesion, left_input=2227, right_input=6494, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12988","layer":1},{"info":"number node, value=2074","layer":2},{"info":"number node, value=7717","layer":2},{"info":"compute binary expreesion, left_input=2074, right_input=7717, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19582","layer":1},{"info":"compute binary expreesion, left_input=12988, right_input=19582, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1996641","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1357⇷⫖↰⪸3912⪄(⫖↰⪸124A⨸⪁⫖↰⪸4571)=⫖↰⪸-803569","reverse_text":"⫖↰⪸-803569=⫖↰⪸1357⇷⫖↰⪸3912⪄(⫖↰⪸124A⨸⪁⫖↰⪸4571)","cot":[{"info":"⫖↰⪸1357⇷⫖↰⪸3912=⫖↰⪸7624","layer":1},{"info":"⫖↰⪸124A⨸⪁⫖↰⪸4571=⫖↰⪸B3BA","layer":1},{"info":"⫖↰⪸7624⪄⫖↰⪸B3BA=⫖↰⪸-803569","layer":0}]}
+{"id":183,"expression_no_base_symbol":"(⨰⫟⨤$9103$)↺$1671$≧⫂∧$2007$","expression":"(⨰⫟⨤⫖↰⪸5327)↺⫖↰⪸B73≧⫂∧⫖↰⪸11B3","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35575,"operation_count":3,"complexity_ratio":11858.333333333334,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":9103,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1671,"base":12},"right_expr":{"type":"numeric_atoms","value":2007,"base":12}}},"used_operators":["7j4O788W3g","Tw270M8GLb","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸A7A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=9103","layer":2},{"info":"compute unary expreesion, input=9103, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1671","layer":2},{"info":"number node, value=2007","layer":2},{"info":"compute binary expreesion, left_input=1671, right_input=2007, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1534","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1534, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1534","layer":0}],"base":12,"result_base":12,"text":"(⨰⫟⨤⫖↰⪸5327)↺⫖↰⪸B73≧⫂∧⫖↰⪸11B3=⫖↰⪸A7A","reverse_text":"⫖↰⪸A7A=(⨰⫟⨤⫖↰⪸5327)↺⫖↰���B73≧⫂∧⫖↰⪸11B3","cot":[{"info":"⨰⫟⨤⫖↰⪸5327=NaN","layer":1},{"info":"⫖↰⪸B73≧⫂∧⫖↰⪸11B3=⫖↰⪸A7A","layer":1},{"info":"NaN↺⫖↰⪸A7A=⫖↰⪸A7A","layer":0}]}
+{"id":184,"expression_no_base_symbol":"($1523$-$2086$)⩷∴$2628$∀⇚≩$1310$","expression":"(⫖↰⪸A6B-⫖↰⪸125A)⩷∴⫖↰⪸1630∀⇚≩⫖↰⪸912","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18403,"operation_count":3,"complexity_ratio":6134.333333333333,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1523,"base":12},"right_expr":{"type":"numeric_atoms","value":2086,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2628,"base":12},"right_expr":{"type":"numeric_atoms","value":1310,"base":12}}},"used_operators":["9FxExcQeMw","rysDP5nf3Z","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1523","layer":2},{"info":"number node, value=2086","layer":2},{"info":"compute binary expreesion, left_input=1523, right_input=2086, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-563","layer":1},{"info":"number node, value=2628","layer":2},{"info":"number node, value=1310","layer":2},{"info":"compute binary expreesion, left_input=2628, right_input=1310, 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=-563, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A6B-⫖↰⪸125A)⩷∴⫖↰⪸1630∀⇚≩⫖↰⪸912=NaN","reverse_text":"NaN=(⫖↰⪸A6B-⫖↰⪸125A)⩷∴⫖↰⪸1630∀⇚≩⫖↰⪸912","cot":[{"info":"⫖↰⪸A6B-⫖↰⪸125A=⫖↰⪸-3AB","layer":1},{"info":"⫖↰⪸1630∀⇚≩⫖↰⪸912=NaN","layer":1},{"info":"⫖↰⪸-3AB⩷∴NaN=NaN","layer":0}]}
+{"id":185,"expression_no_base_symbol":"$3463$⨓$5565$↺$2083$↬$3480$","expression":"⫖↰⪸2007⨓⫖↰⪸3279↺⫖↰⪸1257↬⫖↰⪸2020","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5574,"operation_count":3,"complexity_ratio":1858.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3463,"base":12},"right_expr":{"type":"numeric_atoms","value":5565,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2083,"base":12},"right_expr":{"type":"numeric_atoms","value":3480,"base":12}}},"used_operators":["7j4O788W3g","3ViojmjbAp","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3463","layer":2},{"info":"number node, value=5565","layer":2},{"info":"compute binary expreesion, left_input=3463, right_input=5565, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5568","layer":1},{"info":"number node, value=2083","layer":2},{"info":"number node, value=3480","layer":2},{"info":"compute binary expreesion, left_input=2083, right_input=3480, 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=-5568, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2007⨓⫖↰⪸3279↺⫖↰⪸1257↬⫖↰⪸2020=NaN","reverse_text":"NaN=⫖↰⪸2007⨓⫖↰⪸3279↺⫖↰⪸1257↬⫖↰⪸2020","cot":[{"info":"⫖↰⪸2007⨓⫖↰⪸3279=⫖↰⪸-3280","layer":1},{"info":"⫖↰⪸1257↬⫖↰⪸2020=NaN","layer":1},{"info":"⫖↰⪸-3280↺NaN=NaN","layer":0}]}
+{"id":186,"expression_no_base_symbol":"$2376$⋥≓≎$3330$⫸⊐$1348$⫸⊐$1839$","expression":"⫖↰⪸1460⋥≓≎⫖↰⪸1B16⫸⊐⫖↰⪸944⫸⊐⫖↰⪸1093","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":52,"operation_count":3,"complexity_ratio":17.333333333333332,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2376,"base":12},"right_expr":{"type":"numeric_atoms","value":3330,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1348,"base":12},"right_expr":{"type":"numeric_atoms","value":1839,"base":12}}},"used_operators":["mqXw5SEYmG","Qy55tPpLXF"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸147BB","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2376","layer":2},{"info":"number node, value=3330","layer":2},{"info":"compute binary expreesion, left_input=2376, right_input=3330, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4317","layer":1},{"info":"number node, value=1348","layer":2},{"info":"number node, value=1839","layer":2},{"info":"compute binary expreesion, left_input=1348, right_input=1839, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7231","layer":1},{"info":"compute binary expreesion, left_input=4317, right_input=7231, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=28799","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1460⋥≓≎⫖↰⪸1B16⫸⊐⫖↰⪸944⫸⊐⫖↰⪸1093=⫖↰⪸147BB","reverse_text":"⫖↰⪸147BB=⫖↰⪸1460⋥≓≎⫖↰⪸1B16⫸⊐⫖↰⪸944⫸⊐⫖↰⪸1093","cot":[{"info":"⫖↰⪸1460⋥≓≎⫖↰⪸1B16=⫖↰⪸25B9","layer":1},{"info":"⫖↰⪸944⫸⊐⫖↰⪸1093=⫖↰⪸4227","layer":1},{"info":"⫖↰⪸25B9⫸⊐⫖↰⪸4227=⫖↰⪸147BB","layer":0}]}
+{"id":187,"expression_no_base_symbol":"(⋗⩬⋾$4175$)⨵⪆$1433$⨽$1061$","expression":"(⋗⩬⋾⫖↰⪸24BB)⨵⪆⫖↰⪸9B5⨽⫖↰⪸745","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1446,"operation_count":3,"complexity_ratio":482.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4175,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1433,"base":12},"right_expr":{"type":"numeric_atoms","value":1061,"base":12}}},"used_operators":["2DQ55sFlQl","DpFCA1CohY","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4175","layer":2},{"info":"compute unary expreesion, input=4175, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12525","layer":1},{"info":"number node, value=1433","layer":2},{"info":"number node, value=1061","layer":2},{"info":"compute binary expreesion, left_input=1433, right_input=1061, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6162336","layer":1},{"info":"compute binary expreesion, left_input=-12525, right_input=-6162336, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⋗⩬⋾⫖↰⪸24BB)⨵⪆⫖↰⪸9B5⨽⫖↰⪸745=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⋗⩬⋾⫖↰⪸24BB)⨵⪆⫖↰⪸9B5⨽⫖↰⪸745","cot":[{"info":"⋗⩬⋾⫖↰⪸24BB=⫖↰⪸-72B9","layer":1},{"info":"⫖↰⪸9B5⨽⫖↰⪸745=⫖↰⪸-2092200","layer":1},{"info":"⫖↰⪸-72B9⨵⪆⫖↰⪸-2092200=⫖↰⪸114","layer":0}]}
+{"id":188,"expression_no_base_symbol":"↔(⫛⫱⨽$7308$)","expression":"↔(⫛⫱⨽⫖↰⪸4290)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1432,"operation_count":2,"complexity_ratio":716.0,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":7308,"base":12}}},"used_operators":["ruOEQAzv1W","DlLNRPXxWL"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rGHVDoGpnC"],"result":"⫖↰⪸559","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7308","layer":2},{"info":"compute unary expreesion, input=7308, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"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":0}],"base":12,"result_base":12,"text":"↔(⫛⫱⨽⫖↰⪸4290)=⫖↰⪸559","reverse_text":"⫖↰⪸559=↔(⫛⫱⨽⫖↰⪸4290)","cot":[{"info":"⫛⫱⨽⫖↰⪸4290=⫖↰⪸0","layer":1},{"info":"↔⫖↰⪸0=⫖↰⪸559","layer":0}]}
+{"id":189,"expression_no_base_symbol":"($2074$⫸⊐$2400$)⋥≓≎$1843$⩷∴$4856$","expression":"(⫖↰⪸124A⫸⊐⫖↰⪸1480)⋥≓≎⫖↰⪸1097⩷∴⫖↰⪸2988","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2074,"base":12},"right_expr":{"type":"numeric_atoms","value":2400,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1843,"base":12},"right_expr":{"type":"numeric_atoms","value":4856,"base":12}}},"used_operators":["Qy55tPpLXF","mqXw5SEYmG","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z"],"result":"⫖↰⪸-10586","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2074","layer":2},{"info":"number node, value=2400","layer":2},{"info":"compute binary expreesion, left_input=2074, right_input=2400, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9475","layer":1},{"info":"number node, value=1843","layer":2},{"info":"number node, value=4856","layer":2},{"info":"compute binary expreesion, left_input=1843, right_input=4856, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6058","layer":1},{"info":"compute binary expreesion, left_input=9475, right_input=-6058, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-21558","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸124A⫸⊐⫖↰⪸1480)⋥≓≎⫖↰⪸1097⩷∴⫖↰⪸2988=⫖↰⪸-10586","reverse_text":"⫖↰⪸-10586=(⫖↰⪸124A⫸⊐⫖↰⪸1480)⋥≓≎⫖↰⪸1097⩷∴⫖↰⪸2988","cot":[{"info":"⫖↰⪸124A⫸⊐⫖↰⪸1480=⫖↰⪸5597","layer":1},{"info":"⫖↰⪸1097⩷∴⫖↰⪸2988=⫖↰⪸-360A","layer":1},{"info":"⫖↰⪸5597⋥≓≎⫖↰⪸-360A=⫖↰⪸-10586","layer":0}]}
+{"id":190,"expression_no_base_symbol":"(⊄⩳↩$1196$)⨽$1173$≧⫂∧$3338$","expression":"(⊄⩳↩⫖↰⪸838)⨽⫖↰⪸819≧⫂∧⫖↰⪸1B22","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3601,"operation_count":3,"complexity_ratio":1200.3333333333333,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1196,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1173,"base":12},"right_expr":{"type":"numeric_atoms","value":3338,"base":12}}},"used_operators":["8HhzD0ZcuI","8w2t5hMYqp","Ph9nP6C5qx"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-10B2A569","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1196","layer":2},{"info":"compute unary expreesion, input=1196, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3588","layer":1},{"info":"number node, value=1173","layer":2},{"info":"number node, value=3338","layer":2},{"info":"compute binary expreesion, left_input=1173, right_input=3338, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2865","layer":1},{"info":"compute binary expreesion, left_input=-3588, right_input=2865, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-38628513","layer":0}],"base":12,"result_base":12,"text":"(⊄⩳↩⫖↰⪸838)⨽⫖↰⪸819≧⫂∧⫖↰⪸1B22=⫖↰⪸-10B2A569","reverse_text":"⫖↰⪸-10B2A569=(⊄⩳↩⫖↰⪸838)⨽⫖↰⪸819≧⫂∧⫖↰⪸1B22","cot":[{"info":"⊄⩳↩⫖↰⪸838=⫖↰⪸-20B0","layer":1},{"info":"⫖↰⪸819≧⫂∧⫖↰⪸1B22=⫖↰⪸17A9","layer":1},{"info":"⫖↰⪸-20B0⨽⫖↰⪸17A9=⫖↰⪸-10B2A569","layer":0}]}
+{"id":191,"expression_no_base_symbol":"$4120$∀⇚≩$2801$⊉≛↸(-$1267$)","expression":"⫖↰⪸2474∀⇚≩⫖↰⪸1755⊉≛↸(-⫖↰⪸897)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28843,"operation_count":3,"complexity_ratio":9614.333333333334,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4120,"base":12},"right_expr":{"type":"numeric_atoms","value":2801,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1267,"base":12}}},"used_operators":["DZ8iAZOCBD","LRNGc0VcxI","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4120","layer":2},{"info":"number node, value=2801","layer":2},{"info":"compute binary expreesion, left_input=4120, right_input=2801, 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=1267","layer":2},{"info":"compute unary expreesion, input=1267, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1267","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1267, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2474∀⇚≩⫖↰⪸1755⊉≛↸(-⫖↰⪸897)=NaN","reverse_text":"NaN=⫖↰⪸2474∀⇚≩⫖↰⪸1755⊉≛↸(-⫖↰⪸897)","cot":[{"info":"⫖↰⪸2474∀⇚≩⫖↰⪸1755=NaN","layer":1},{"info":"-⫖↰⪸897=⫖↰⪸-897","layer":1},{"info":"NaN⊉≛↸⫖↰⪸-897=NaN","layer":0}]}
+{"id":192,"expression_no_base_symbol":"-(-$3802$)","expression":"-(-⫖↰⪸224A)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3802,"base":12}}},"used_operators":["t8gj7n24qd"],"dependent_operators":[],"result":"⫖↰⪸224A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3802","layer":2},{"info":"compute unary expreesion, input=3802, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3802","layer":1},{"info":"compute unary expreesion, input=-3802, op_id = t8gj7n24qd, unary_op_definition = 'None', output=3802","layer":0}],"base":12,"result_base":12,"text":"-(-⫖↰⪸224A)=⫖↰⪸224A","reverse_text":"⫖↰⪸224A=-(-⫖↰⪸224A)","cot":[{"info":"-⫖↰⪸224A=⫖↰⪸-224A","layer":1},{"info":"-⫖↰⪸-224A=⫖↰⪸224A","layer":0}]}
+{"id":193,"expression_no_base_symbol":"⨑⩽⪐(⊙↵-$1199$)","expression":"⨑⩽⪐(⊙↵-⫖↰⪸83B)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1252,"operation_count":2,"complexity_ratio":626.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1199,"base":12}}},"used_operators":["AF7qkfDlqP","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫖↰⪸55B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1199","layer":2},{"info":"compute unary expreesion, input=1199, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=791","layer":0}],"base":12,"result_base":12,"text":"⨑⩽⪐(⊙↵-⫖↰⪸83B)=⫖↰⪸55B","reverse_text":"⫖↰⪸55B=⨑⩽⪐(⊙↵-⫖↰⪸83B)","cot":[{"info":"⊙↵-⫖↰⪸83B=⫖↰⪸-1","layer":1},{"info":"⨑⩽⪐⫖↰⪸-1=⫖↰⪸55B","layer":0}]}
+{"id":194,"expression_no_base_symbol":"↥$9284$⩚⊴⇥$3680$","expression":"↥⫖↰⪸5458⩚⊴⇥⫖↰⪸2168","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":259,"operation_count":2,"complexity_ratio":129.5,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":9284,"base":12},"right_expr":{"type":"numeric_atoms","value":3680,"base":12}}},"used_operators":["A8NUZmVepG","NTOWxs364D"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸1A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=9284","layer":2},{"info":"number node, value=3680","layer":2},{"info":"compute binary expreesion, left_input=9284, right_input=3680, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-13085","layer":1},{"info":"compute unary expreesion, input=-13085, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=22","layer":0}],"base":12,"result_base":12,"text":"↥⫖↰⪸5458⩚⊴⇥⫖↰⪸2168=⫖↰⪸1A","reverse_text":"⫖↰⪸1A=↥⫖↰⪸5458⩚⊴⇥⫖↰⪸2168","cot":[{"info":"⫖↰⪸5458⩚⊴⇥⫖↰⪸2168=⫖↰⪸-76A5","layer":1},{"info":"↥⫖↰⪸-76A5=⫖↰⪸1A","layer":0}]}
+{"id":195,"expression_no_base_symbol":"$5866$⫥∨⫟$1281$⨸⪁($3429$⫌⩹⨱)","expression":"⫖↰⪸348A⫥∨⫟⫖↰⪸8A9⨸⪁(⫖↰⪸1B99⫌⩹⨱)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":164,"operation_count":3,"complexity_ratio":54.666666666666664,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5866,"base":12},"right_expr":{"type":"numeric_atoms","value":1281,"base":12}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3429,"base":12}}},"used_operators":["g55IO6H4Gj","KYD54nUTWz","EBcxylXtPf"],"dependent_operators":["W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5866","layer":2},{"info":"number node, value=1281","layer":2},{"info":"compute binary expreesion, left_input=5866, right_input=1281, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3429","layer":2},{"info":"compute unary expreesion, input=3429, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8259","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8259, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸348A⫥∨⫟⫖↰⪸8A9⨸⪁(⫖↰⪸1B99⫌⩹⨱)=NaN","reverse_text":"NaN=⫖↰⪸348A⫥∨⫟⫖↰⪸8A9⨸⪁(⫖↰⪸1B99⫌⩹⨱)","cot":[{"info":"⫖↰⪸348A⫥∨⫟⫖↰⪸8A9=NaN","layer":1},{"info":"⫖↰⪸1B99⫌⩹⨱=⫖↰⪸4943","layer":1},{"info":"NaN⨸⪁⫖↰⪸4943=NaN","layer":0}]}
+{"id":196,"expression_no_base_symbol":"($1688$∲⫓$2375$)⪢($3475$⩠)","expression":"(⫖↰⪸B88∲⫓⫖↰⪸145B)⪢(⫖↰⪸2017⩠)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1688,"base":12},"right_expr":{"type":"numeric_atoms","value":2375,"base":12}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3475,"base":12}}},"used_operators":["dWAJyo7jo9","i8ToyICDmI","sJAwomhLZr"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1688","layer":2},{"info":"number node, value=2375","layer":2},{"info":"compute binary expreesion, left_input=1688, right_input=2375, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=3475","layer":2},{"info":"compute unary expreesion, input=3475, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸B88∲⫓⫖↰⪸145B)⪢(⫖↰⪸2017⩠)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸B88∲⫓⫖↰⪸145B)⪢(⫖↰⪸2017⩠)","cot":[{"info":"⫖↰⪸B88∲⫓⫖↰⪸145B=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2017⩠=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⪢⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":197,"expression_no_base_symbol":"(⨞⊢$1113$)⋥≓≎(↽≂$7081$)","expression":"(⨞⊢⫖↰⪸789)⋥≓≎(↽≂⫖↰⪸4121)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1113,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":7081,"base":12}}},"used_operators":["Qy55tPpLXF","xUOZtlo3hN","u6S6b8DprG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1113","layer":2},{"info":"compute unary expreesion, input=1113, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1287","layer":1},{"info":"number node, value=7081","layer":2},{"info":"compute unary expreesion, input=7081, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-14162","layer":1},{"info":"compute binary expreesion, left_input=-1287, right_input=-14162, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⨞⊢⫖↰⪸789)⋥≓≎(↽≂⫖↰⪸4121)=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⨞⊢⫖↰⪸789)⋥≓≎(↽≂⫖↰⪸4121)","cot":[{"info":"⨞⊢⫖↰⪸789=⫖↰⪸-8B3","layer":1},{"info":"↽≂⫖↰⪸4121=⫖↰⪸-8242","layer":1},{"info":"⫖↰⪸-8B3⋥≓≎⫖↰⪸-8242=⫖↰⪸57","layer":0}]}
+{"id":198,"expression_no_base_symbol":"↩($6809$/$5116$)","expression":"↩(⫖↰⪸3B35/⫖↰⪸2B64)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6809,"base":12},"right_expr":{"type":"numeric_atoms","value":5116,"base":12}}},"used_operators":["jLgFTUHLKL","XhwjNDsVaA"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z"],"result":"⫖↰⪸2968","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6809","layer":2},{"info":"number node, value=5116","layer":2},{"info":"compute binary expreesion, left_input=6809, right_input=5116, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"compute unary expreesion, input=1, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4832","layer":0}],"base":12,"result_base":12,"text":"↩(⫖↰⪸3B35/⫖↰⪸2B64)=⫖↰⪸2968","reverse_text":"⫖↰⪸2968=↩(⫖↰⪸3B35/⫖↰⪸2B64)","cot":[{"info":"⫖↰⪸3B35/⫖↰⪸2B64=⫖↰⪸1","layer":1},{"info":"↩⫖↰⪸1=⫖↰⪸2968","layer":0}]}
+{"id":199,"expression_no_base_symbol":"$4171$⊴$1015$⨵⪆$1331$⇼⇔∾$1112$","expression":"⫖↰⪸24B7⊴⫖↰⪸707⨵⪆⫖↰⪸92B⇼⇔∾⫖↰⪸788","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7759,"operation_count":3,"complexity_ratio":2586.3333333333335,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4171,"base":12},"right_expr":{"type":"numeric_atoms","value":1015,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1331,"base":12},"right_expr":{"type":"numeric_atoms","value":1112,"base":12}}},"used_operators":["2DQ55sFlQl","Nsiff2A1zJ","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4171","layer":2},{"info":"number node, value=1015","layer":2},{"info":"compute binary expreesion, left_input=4171, right_input=1015, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1331","layer":2},{"info":"number node, value=1112","layer":2},{"info":"compute binary expreesion, left_input=1331, right_input=1112, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-219","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-219, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸24B7⊴⫖↰⪸707⨵⪆⫖↰⪸92B⇼⇔∾⫖↰⪸788=⫖↰⪸114","reverse_text":"⫖↰⪸114=⫖↰⪸24B7⊴⫖↰⪸707⨵⪆⫖↰⪸92B⇼⇔∾⫖↰⪸788","cot":[{"info":"⫖↰⪸24B7⊴⫖↰⪸707=NaN","layer":1},{"info":"⫖↰⪸92B⇼⇔∾⫖↰⪸788=⫖↰⪸-163","layer":1},{"info":"NaN⨵⪆⫖↰⪸-163=⫖↰⪸114","layer":0}]}
+{"id":200,"expression_no_base_symbol":"∂($2348$*$2614$)","expression":"∂(⫖↰⪸1438*⫖↰⪸161A)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2349,"operation_count":2,"complexity_ratio":1174.5,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2348,"base":12},"right_expr":{"type":"numeric_atoms","value":2614,"base":12}}},"used_operators":["Uaa54Peajs","9HNa5Wba9A"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2348","layer":2},{"info":"number node, value=2614","layer":2},{"info":"compute binary expreesion, left_input=2348, right_input=2614, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6137672","layer":1},{"info":"compute unary expreesion, input=6137672, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∂(⫖↰⪸1438*⫖↰⪸161A)=NaN","reverse_text":"NaN=∂(⫖↰⪸1438*⫖↰⪸161A)","cot":[{"info":"⫖↰⪸1438*⫖↰⪸161A=⫖↰⪸207BA88","layer":1},{"info":"∂⫖↰⪸207BA88=NaN","layer":0}]}
+{"id":201,"expression_no_base_symbol":"⨵≀≌$5110$⋝⋈⪟$1991$","expression":"⨵≀≌⫖↰⪸2B5A⋝⋈⪟⫖↰⪸119B","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5110,"base":12},"right_expr":{"type":"numeric_atoms","value":1991,"base":12}}},"used_operators":["srAu1WTS94","2DDjHMKMc0"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-8A56","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5110","layer":2},{"info":"number node, value=1991","layer":2},{"info":"compute binary expreesion, left_input=5110, right_input=1991, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5110","layer":1},{"info":"compute unary expreesion, input=5110, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-15330","layer":0}],"base":12,"result_base":12,"text":"⨵≀≌⫖↰⪸2B5A⋝⋈⪟⫖↰⪸119B=⫖↰⪸-8A56","reverse_text":"⫖↰⪸-8A56=⨵≀≌⫖↰⪸2B5A⋝⋈⪟⫖↰⪸119B","cot":[{"info":"⫖↰⪸2B5A⋝⋈⪟⫖↰⪸119B=⫖↰⪸2B5A","layer":1},{"info":"⨵≀≌⫖↰⪸2B5A=⫖↰⪸-8A56","layer":0}]}
+{"id":202,"expression_no_base_symbol":"($8875$⨳⩥⨓$2640$)⊴($1163$⊘)","expression":"(⫖↰⪸5177⨳⩥⨓⫖↰⪸1640)⊴(⫖↰⪸80B⊘)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":8875,"base":12},"right_expr":{"type":"numeric_atoms","value":2640,"base":12}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1163,"base":12}}},"used_operators":["Nsiff2A1zJ","nCS4ZIUYfx","gu96TGCTMs"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⫖↰⪸-67","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8875","layer":2},{"info":"number node, value=2640","layer":2},{"info":"compute binary expreesion, left_input=8875, right_input=2640, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-6235","layer":1},{"info":"number node, value=1163","layer":2},{"info":"compute unary expreesion, input=1163, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-6235, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸5177⨳⩥⨓⫖↰⪸1640)⊴(⫖↰⪸80B⊘)=⫖↰⪸-67","reverse_text":"⫖↰⪸-67=(⫖↰⪸5177⨳⩥⨓⫖↰⪸1640)⊴(⫖↰⪸80B⊘)","cot":[{"info":"⫖↰⪸5177⨳⩥⨓⫖↰⪸1640=⫖↰⪸-3737","layer":1},{"info":"⫖↰⪸80B⊘=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-3737⊴⫖↰⪸0=⫖↰⪸-67","layer":0}]}
+{"id":203,"expression_no_base_symbol":"($2155$⊠≄⫣)↙($1050$⋷$1209$)","expression":"(⫖↰⪸12B7⊠≄⫣)↙(⫖↰⪸736⋷⫖↰⪸849)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2155,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1050,"base":12},"right_expr":{"type":"numeric_atoms","value":1209,"base":12}}},"used_operators":["yyfyN0ffXY","DIvbN7qnHd","23Mk6UjR3U"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2155","layer":2},{"info":"compute unary expreesion, input=2155, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=1050","layer":2},{"info":"number node, value=1209","layer":2},{"info":"compute binary expreesion, left_input=1050, right_input=1209, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1368","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1368, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸12B7⊠≄⫣)↙(⫖↰⪸736⋷⫖↰⪸849)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸12B7⊠≄⫣)↙(⫖↰⪸736⋷⫖↰⪸849)","cot":[{"info":"⫖↰⪸12B7⊠≄⫣=⫖↰⪸0","layer":1},{"info":"⫖↰⪸736⋷⫖↰⪸849=⫖↰⪸960","layer":1},{"info":"⫖↰⪸0↙⫖↰⪸960=⫖↰⪸0","layer":0}]}
+{"id":204,"expression_no_base_symbol":"$2249$/$1813$/(∂$1757$)","expression":"⫖↰⪸1375/⫖↰⪸1071/(∂⫖↰⪸1025)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2249,"base":12},"right_expr":{"type":"numeric_atoms","value":1813,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1757,"base":12}}},"used_operators":["XhwjNDsVaA","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2249","layer":2},{"info":"number node, value=1813","layer":2},{"info":"compute binary expreesion, left_input=2249, right_input=1813, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"number node, value=1757","layer":2},{"info":"compute unary expreesion, input=1757, 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=1, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1375/⫖↰⪸1071/(∂⫖↰⪸1025)=NaN","reverse_text":"NaN=⫖↰⪸1375/⫖↰⪸1071/(∂⫖↰⪸1025)","cot":[{"info":"⫖↰⪸1375/⫖↰⪸1071=⫖↰⪸1","layer":1},{"info":"∂⫖↰⪸1025=NaN","layer":1},{"info":"⫖↰⪸1/NaN=NaN","layer":0}]}
+{"id":205,"expression_no_base_symbol":"($1014$⪄$1144$)⋓($5010$⪨≂$2507$)","expression":"(⫖↰⪸706⪄⫖↰⪸7B4)⋓(⫖↰⪸2A96⪨≂⫖↰⪸154B)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":113,"operation_count":3,"complexity_ratio":37.666666666666664,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1014,"base":12},"right_expr":{"type":"numeric_atoms","value":1144,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5010,"base":12},"right_expr":{"type":"numeric_atoms","value":2507,"base":12}}},"used_operators":["T2fj7uvVaJ","SUmda5xLS4","sdazOOVcIp"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1014","layer":2},{"info":"number node, value=1144","layer":2},{"info":"compute binary expreesion, left_input=1014, right_input=1144, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-150737","layer":1},{"info":"number node, value=5010","layer":2},{"info":"number node, value=2507","layer":2},{"info":"compute binary expreesion, left_input=5010, right_input=2507, 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=5108","layer":1},{"info":"compute binary expreesion, left_input=-150737, right_input=5108, 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":12,"result_base":12,"text":"(⫖↰⪸706⪄⫖↰⪸7B4)⋓(⫖↰⪸2A96⪨≂⫖↰⪸154B)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸706⪄⫖↰⪸7B4)⋓(⫖↰⪸2A96⪨≂⫖↰⪸154B)","cot":[{"info":"⫖↰⪸706⪄⫖↰⪸7B4=⫖↰⪸-73295","layer":1},{"info":"⫖↰⪸2A96⪨≂⫖↰⪸154B=⫖↰⪸2B58","layer":1},{"info":"⫖↰⪸-73295⋓⫖↰⪸2B58=⫖↰⪸0","layer":0}]}
+{"id":206,"expression_no_base_symbol":"($5014$⫥∨⫟$5106$)∼($3141$+⇶⊼$1186$)","expression":"(⫖↰⪸2A9A⫥∨⫟⫖↰⪸2B56)∼(⫖↰⪸1999+⇶⊼⫖↰⪸82A)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":158,"operation_count":3,"complexity_ratio":52.666666666666664,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5014,"base":12},"right_expr":{"type":"numeric_atoms","value":5106,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3141,"base":12},"right_expr":{"type":"numeric_atoms","value":1186,"base":12}}},"used_operators":["DyGG3AbaNP","KYD54nUTWz","TpPTUOHfaN"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5014","layer":2},{"info":"number node, value=5106","layer":2},{"info":"compute binary expreesion, left_input=5014, right_input=5106, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3141","layer":2},{"info":"number node, value=1186","layer":2},{"info":"compute binary expreesion, left_input=3141, right_input=1186, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2A9A⫥∨⫟⫖↰⪸2B56)∼(⫖↰⪸1999+⇶⊼⫖↰⪸82A)=NaN","reverse_text":"NaN=(⫖↰⪸2A9A⫥∨⫟⫖↰⪸2B56)∼(⫖↰⪸1999+⇶⊼⫖↰⪸82A)","cot":[{"info":"⫖↰⪸2A9A⫥∨⫟⫖↰⪸2B56=NaN","layer":1},{"info":"⫖↰⪸1999+⇶⊼⫖↰⪸82A=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
+{"id":207,"expression_no_base_symbol":"($3418$*$1542$)⊘","expression":"(⫖↰⪸1B8A*⫖↰⪸A86)⊘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1561,"operation_count":2,"complexity_ratio":780.5,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3418,"base":12},"right_expr":{"type":"numeric_atoms","value":1542,"base":12}}},"used_operators":["gu96TGCTMs","9HNa5Wba9A"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3418","layer":2},{"info":"number node, value=1542","layer":2},{"info":"compute binary expreesion, left_input=3418, right_input=1542, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5270556","layer":1},{"info":"compute unary expreesion, input=5270556, 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":12,"result_base":12,"text":"(⫖↰⪸1B8A*⫖↰⪸A86)⊘=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸1B8A*⫖↰⪸A86)⊘","cot":[{"info":"⫖↰⪸1B8A*⫖↰⪸A86=⫖↰⪸1922110","layer":1},{"info":"⫖↰⪸1922110⊘=⫖↰⪸0","layer":0}]}
+{"id":208,"expression_no_base_symbol":"($2015$∲⫓$1418$)⪛($1297$⋷$3674$)","expression":"(⫖↰⪸11BB∲⫓⫖↰⪸9A2)⪛(⫖↰⪸901⋷⫖↰⪸2162)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2015,"base":12},"right_expr":{"type":"numeric_atoms","value":1418,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1297,"base":12},"right_expr":{"type":"numeric_atoms","value":3674,"base":12}}},"used_operators":["uFcxV4UQCh","i8ToyICDmI","23Mk6UjR3U"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2015","layer":2},{"info":"number node, value=1418","layer":2},{"info":"compute binary expreesion, left_input=2015, right_input=1418, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1297","layer":2},{"info":"number node, value=3674","layer":2},{"info":"compute binary expreesion, left_input=1297, right_input=3674, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6051","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6051, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸11BB∲⫓⫖↰⪸9A2)⪛(⫖↰⪸901⋷⫖↰⪸2162)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸11BB∲⫓⫖↰⪸9A2)��(⫖↰⪸901⋷⫖↰⪸2162)","cot":[{"info":"⫖↰⪸11BB∲⫓⫖↰⪸9A2=⫖↰⪸0","layer":1},{"info":"⫖↰⪸901⋷⫖↰⪸2162=⫖↰⪸3603","layer":1},{"info":"⫖↰⪸0⪛⫖↰⪸3603=⫖↰⪸0","layer":0}]}
+{"id":209,"expression_no_base_symbol":"$4366$≹⇙⪍$2874$⨵⪆$6886$+⇶⊼$3207$","expression":"⫖↰⪸263A≹⇙⪍⫖↰⪸17B6⨵⪆⫖↰⪸3B9A+⇶⊼⫖↰⪸1A33","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4366,"base":12},"right_expr":{"type":"numeric_atoms","value":2874,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6886,"base":12},"right_expr":{"type":"numeric_atoms","value":3207,"base":12}}},"used_operators":["2DQ55sFlQl","AHs5Up7iyr","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","AHs5Up7iyr"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4366","layer":2},{"info":"number node, value=2874","layer":2},{"info":"compute binary expreesion, left_input=4366, right_input=2874, 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=6886","layer":2},{"info":"number node, value=3207","layer":2},{"info":"compute binary expreesion, left_input=6886, right_input=3207, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸263A≹⇙⪍⫖↰⪸17B6⨵⪆⫖↰⪸3B9A+⇶⊼⫖↰⪸1A33=⫖↰⪸114","reverse_text":"⫖↰⪸114=⫖↰⪸263A≹⇙⪍⫖↰⪸17B6⨵⪆⫖↰⪸3B9A+⇶⊼⫖↰⪸1A33","cot":[{"info":"⫖↰⪸263A≹⇙⪍⫖↰⪸17B6=NaN","layer":1},{"info":"⫖↰⪸3B9A+⇶⊼⫖↰⪸1A33=NaN","layer":1},{"info":"NaN⨵⪆NaN=⫖↰⪸114","layer":0}]}
+{"id":210,"expression_no_base_symbol":"≤/(∂$3921$)","expression":"≤/(∂⫖↰⪸2329)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3921,"base":12}}},"used_operators":["eLAdDNolq6","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3921","layer":2},{"info":"compute unary expreesion, input=3921, 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 unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≤/(∂⫖↰⪸2329)=NaN","reverse_text":"NaN=≤/(∂⫖↰⪸2329)","cot":[{"info":"∂⫖↰⪸2329=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
+{"id":211,"expression_no_base_symbol":"($2638$*$8405$)⩷∴($9670$↺$4105$)","expression":"(⫖↰⪸163A*⫖↰⪸4A45)⩷∴(⫖↰⪸571A↺⫖↰⪸2461)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2646,"operation_count":3,"complexity_ratio":882.0,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2638,"base":12},"right_expr":{"type":"numeric_atoms","value":8405,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":9670,"base":12},"right_expr":{"type":"numeric_atoms","value":4105,"base":12}}},"used_operators":["9FxExcQeMw","9HNa5Wba9A","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸12A21876","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2638","layer":2},{"info":"number node, value=8405","layer":2},{"info":"compute binary expreesion, left_input=2638, right_input=8405, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=22172390","layer":1},{"info":"number node, value=9670","layer":2},{"info":"number node, value=4105","layer":2},{"info":"compute binary expreesion, left_input=9670, right_input=4105, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4105","layer":1},{"info":"compute binary expreesion, left_input=22172390, right_input=4105, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=44336538","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸163A*⫖↰⪸4A45)⩷∴(⫖↰⪸571A↺⫖↰⪸2461)=⫖↰⪸12A21876","reverse_text":"⫖↰⪸12A21876=(⫖↰⪸163A*⫖↰⪸4A45)⩷∴(⫖↰⪸571A↺⫖↰⪸2461)","cot":[{"info":"⫖↰⪸163A*⫖↰⪸4A45=⫖↰⪸75132B2","layer":1},{"info":"⫖↰⪸571A↺⫖↰⪸2461=⫖↰⪸2461","layer":1},{"info":"⫖↰⪸75132B2⩷∴⫖↰⪸2461=⫖↰⪸12A21876","layer":0}]}
+{"id":212,"expression_no_base_symbol":"$3669$⩨$1458$⊭↱($7362$⩨$5781$)","expression":"⫖↰⪸2159⩨⫖↰⪸A16⊭↱(⫖↰⪸4316⩨⫖↰⪸3419)","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3669,"base":12},"right_expr":{"type":"numeric_atoms","value":1458,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7362,"base":12},"right_expr":{"type":"numeric_atoms","value":5781,"base":12}}},"used_operators":["COABgblf1C","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸5","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3669","layer":2},{"info":"number node, value=1458","layer":2},{"info":"compute binary expreesion, left_input=3669, right_input=1458, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=7362","layer":2},{"info":"number node, value=5781","layer":2},{"info":"compute binary expreesion, left_input=7362, right_input=5781, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2159⩨⫖↰⪸A16⊭↱(⫖↰⪸4316⩨⫖↰⪸3419)=⫖↰⪸5","reverse_text":"⫖↰⪸5=⫖↰⪸2159⩨⫖↰⪸A16⊭↱(⫖↰⪸4316⩨⫖↰⪸3419)","cot":[{"info":"⫖↰⪸2159⩨⫖↰⪸A16=⫖↰⪸0","layer":1},{"info":"⫖↰⪸4316⩨⫖↰⪸3419=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⊭↱⫖↰⪸0=⫖↰⪸5","layer":0}]}
+{"id":213,"expression_no_base_symbol":"$5774$⇼⇔∾$5054$⪒$1659$≎⊠⪸$2492$","expression":"⫖↰⪸3412⇼⇔∾⫖↰⪸2B12⪒⫖↰⪸B63≎⊠⪸⫖↰⪸1538","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":275,"operation_count":3,"complexity_ratio":91.66666666666667,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5774,"base":12},"right_expr":{"type":"numeric_atoms","value":5054,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1659,"base":12},"right_expr":{"type":"numeric_atoms","value":2492,"base":12}}},"used_operators":["f6k1SAg4EE","tifHPKVTfV","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫖↰⪸-187B74","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5774","layer":2},{"info":"number node, value=5054","layer":2},{"info":"compute binary expreesion, left_input=5774, right_input=5054, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-720","layer":1},{"info":"number node, value=1659","layer":2},{"info":"number node, value=2492","layer":2},{"info":"compute binary expreesion, left_input=1659, right_input=2492, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=429208","layer":1},{"info":"compute binary expreesion, left_input=-720, right_input=429208, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-428488","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3412⇼⇔∾⫖↰⪸2B12⪒⫖↰⪸B63≎⊠⪸⫖↰⪸1538=⫖↰⪸-187B74","reverse_text":"⫖↰⪸-187B74=⫖↰⪸3412⇼⇔∾⫖↰⪸2B12⪒⫖↰⪸B63≎⊠⪸⫖↰⪸1538","cot":[{"info":"⫖↰⪸3412⇼⇔∾⫖↰⪸2B12=⫖↰⪸-500","layer":1},{"info":"⫖↰⪸B63≎⊠⪸⫖↰⪸1538=⫖↰⪸188474","layer":1},{"info":"⫖↰⪸-500⪒⫖↰⪸188474=⫖↰⪸-187B74","layer":0}]}
+{"id":214,"expression_no_base_symbol":"($2234$*$1968$)⪢($2410$⨸⪁$1153$)","expression":"(⫖↰⪸1362*⫖↰⪸1180)⪢(⫖↰⪸148A⨸⪁⫖↰⪸801)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":102626,"operation_count":3,"complexity_ratio":34208.666666666664,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2234,"base":12},"right_expr":{"type":"numeric_atoms","value":1968,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2410,"base":12},"right_expr":{"type":"numeric_atoms","value":1153,"base":12}}},"used_operators":["dWAJyo7jo9","9HNa5Wba9A","g55IO6H4Gj"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2234","layer":2},{"info":"number node, value=1968","layer":2},{"info":"compute binary expreesion, left_input=2234, right_input=1968, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4396512","layer":1},{"info":"number node, value=2410","layer":2},{"info":"number node, value=1153","layer":2},{"info":"compute binary expreesion, left_input=2410, right_input=1153, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7126","layer":1},{"info":"compute binary expreesion, left_input=4396512, right_input=7126, 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":12,"result_base":12,"text":"(⫖↰⪸1362*⫖↰⪸1180)⪢(⫖↰⪸148A⨸⪁⫖↰⪸801)=NaN","reverse_text":"NaN=(⫖↰⪸1362*⫖↰⪸1180)⪢(⫖↰⪸148A⨸⪁⫖↰⪸801)","cot":[{"info":"⫖↰⪸1362*⫖↰⪸1180=⫖↰⪸1580340","layer":1},{"info":"⫖↰⪸148A⨸⪁⫖↰⪸801=⫖↰⪸415A","layer":1},{"info":"⫖↰⪸1580340⪢⫖↰⪸415A=NaN","layer":0}]}
+{"id":215,"expression_no_base_symbol":"(⊙↵-$1303$)≎⊠⪸($4671$⫩⊇)","expression":"(⊙↵-⫖↰⪸907)≎⊠⪸(⫖↰⪸2853⫩⊇)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1362,"operation_count":3,"complexity_ratio":454.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1303,"base":12}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4671,"base":12}}},"used_operators":["bJkvcejdHO","oWn0xqSxBt","BjRHVeLaeN"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1303","layer":2},{"info":"compute unary expreesion, input=1303, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=4671","layer":2},{"info":"compute unary expreesion, input=4671, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4629","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=-4629, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⊙↵-⫖↰⪸907)≎⊠⪸(⫖↰⪸2853⫩⊇)=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⊙↵-⫖↰⪸907)≎⊠⪸(⫖↰⪸2853⫩⊇)","cot":[{"info":"⊙↵-⫖↰⪸907=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸2853⫩⊇=⫖↰⪸-2819","layer":1},{"info":"⫖↰⪸-1≎⊠⪸⫖↰⪸-2819=⫖↰⪸57","layer":0}]}
+{"id":216,"expression_no_base_symbol":"(⫓⪴$5060$)⋝⋈⪟$5645$∀⇚≩$2380$","expression":"(⫓⪴⫖↰⪸2B18)⋝⋈⪟⫖↰⪸3325∀⇚≩⫖↰⪸1464","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":44578,"operation_count":3,"complexity_ratio":14859.333333333334,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5060,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5645,"base":12},"right_expr":{"type":"numeric_atoms","value":2380,"base":12}}},"used_operators":["2DDjHMKMc0","eLxqMNBOBk","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5060","layer":2},{"info":"compute unary expreesion, input=5060, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=25603600","layer":1},{"info":"number node, value=5645","layer":2},{"info":"number node, value=2380","layer":2},{"info":"compute binary expreesion, left_input=5645, right_input=2380, 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=25603600, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫓⪴⫖↰⪸2B18)⋝⋈⪟⫖↰⪸3325∀⇚≩⫖↰⪸1464=NaN","reverse_text":"NaN=(⫓⪴⫖↰⪸2B18)⋝⋈⪟⫖↰⪸3325∀⇚≩⫖↰⪸1464","cot":[{"info":"⫓⪴⫖↰⪸2B18=⫖↰⪸86A8A94","layer":1},{"info":"⫖↰⪸3325∀⇚≩⫖↰⪸1464=NaN","layer":1},{"info":"⫖↰⪸86A8A94⋝⋈⪟NaN=NaN","layer":0}]}
+{"id":217,"expression_no_base_symbol":"∂$1815$⪮%⊝$2171$","expression":"∂⫖↰⪸1073⪮%⊝⫖↰⪸130B","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1815,"base":12},"right_expr":{"type":"numeric_atoms","value":2171,"base":12}}},"used_operators":["Uaa54Peajs","IWmyXbctLI"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1815","layer":2},{"info":"number node, value=2171","layer":2},{"info":"compute binary expreesion, left_input=1815, right_input=2171, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3946","layer":1},{"info":"compute unary expreesion, input=3946, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∂⫖↰⪸1073⪮%⊝⫖↰⪸130B=NaN","reverse_text":"NaN=∂⫖↰⪸1073⪮%⊝⫖↰⪸130B","cot":[{"info":"⫖↰⪸1073⪮%⊝⫖↰⪸130B=⫖↰⪸234A","layer":1},{"info":"∂⫖↰⪸234A=NaN","layer":0}]}
+{"id":218,"expression_no_base_symbol":"($3090$⩚⊴⇥$7850$)≫≃","expression":"(⫖↰⪸1956⩚⊴⇥⫖↰⪸4662)≫≃","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3090,"base":12},"right_expr":{"type":"numeric_atoms","value":7850,"base":12}}},"used_operators":["X99M06cbEe","NTOWxs364D"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-BBA9","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3090","layer":2},{"info":"number node, value=7850","layer":2},{"info":"compute binary expreesion, left_input=3090, right_input=7850, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11061","layer":1},{"info":"compute unary expreesion, input=-11061, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-20721","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1956⩚⊴⇥⫖↰⪸4662)≫≃=⫖↰⪸-BBA9","reverse_text":"⫖↰⪸-BBA9=(⫖↰⪸1956⩚⊴⇥⫖↰⪸4662)≫≃","cot":[{"info":"⫖↰⪸1956⩚⊴⇥⫖↰⪸4662=⫖↰⪸-6499","layer":1},{"info":"⫖↰⪸-6499≫≃=⫖↰⪸-BBA9","layer":0}]}
+{"id":219,"expression_no_base_symbol":"($2445$≦≮≮)∀⇚≩$2076$⨟⋌⩍$4924$","expression":"(⫖↰⪸14B9≦≮≮)∀⇚≩⫖↰⪸1250⨟⋌⩍⫖↰⪸2A24","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":51349,"operation_count":3,"complexity_ratio":17116.333333333332,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2445,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2076,"base":12},"right_expr":{"type":"numeric_atoms","value":4924,"base":12}}},"used_operators":["LRNGc0VcxI","D4vGDi5EA2","rGHVDoGpnC"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2445","layer":2},{"info":"compute unary expreesion, input=2445, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7335","layer":1},{"info":"number node, value=2076","layer":2},{"info":"number node, value=4924","layer":2},{"info":"compute binary expreesion, left_input=2076, right_input=4924, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-7335, 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":12,"result_base":12,"text":"(⫖↰⪸14B9≦≮≮)∀⇚≩⫖↰⪸1250⨟⋌⩍⫖↰⪸2A24=NaN","reverse_text":"NaN=(⫖↰⪸14B9≦≮≮)∀⇚≩⫖↰⪸1250⨟⋌⩍⫖↰⪸2A24","cot":[{"info":"⫖↰⪸14B9≦≮≮=⫖↰⪸-42B3","layer":1},{"info":"⫖↰⪸1250⨟⋌⩍⫖↰⪸2A24=NaN","layer":1},{"info":"⫖↰⪸-42B3∀⇚≩NaN=NaN","layer":0}]}
+{"id":220,"expression_no_base_symbol":"(↣≠⋷$2158$)⪮%⊝($4897$↙$5717$)","expression":"(↣≠⋷⫖↰⪸12BA)⪮%⊝(⫖↰⪸2A01↙⫖↰⪸3385)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5732,"operation_count":3,"complexity_ratio":1910.6666666666667,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2158,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4897,"base":12},"right_expr":{"type":"numeric_atoms","value":5717,"base":12}}},"used_operators":["IWmyXbctLI","Asc51vEJeQ","yyfyN0ffXY"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2158","layer":2},{"info":"compute unary expreesion, input=2158, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=4897","layer":2},{"info":"number node, value=5717","layer":2},{"info":"compute binary expreesion, left_input=4897, right_input=5717, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-17151","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-17151, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↣≠⋷⫖↰⪸12BA)⪮%⊝(⫖↰⪸2A01↙⫖↰⪸3385)=NaN","reverse_text":"NaN=(↣≠⋷⫖↰⪸12BA)⪮%⊝(⫖↰⪸2A01↙⫖↰⪸3385)","cot":[{"info":"↣≠⋷⫖↰⪸12BA=NaN","layer":1},{"info":"⫖↰⪸2A01↙⫖↰⪸3385=⫖↰⪸-9B13","layer":1},{"info":"NaN⪮%⊝⫖↰⪸-9B13=NaN","layer":0}]}
+{"id":221,"expression_no_base_symbol":"($2823$⫡⨏$2012$)⩨$2351$⊴$2356$","expression":"(⫖↰⪸1773⫡⨏⫖↰⪸11B8)⩨⫖↰⪸143B⊴⫖↰⪸1444","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2373,"operation_count":3,"complexity_ratio":791.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2823,"base":12},"right_expr":{"type":"numeric_atoms","value":2012,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2351,"base":12},"right_expr":{"type":"numeric_atoms","value":2356,"base":12}}},"used_operators":["2DlMacCsIx","QMFrweE19q","Nsiff2A1zJ"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2823","layer":2},{"info":"number node, value=2012","layer":2},{"info":"compute binary expreesion, left_input=2823, right_input=2012, 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=18922","layer":1},{"info":"number node, value=2351","layer":2},{"info":"number node, value=2356","layer":2},{"info":"compute binary expreesion, left_input=2351, right_input=2356, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=18922, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1773⫡⨏⫖↰⪸11B8)⩨⫖↰⪸143B⊴⫖↰⪸1444=NaN","reverse_text":"NaN=(⫖↰⪸1773⫡⨏⫖↰⪸11B8)⩨⫖↰⪸143B⊴⫖↰⪸1444","cot":[{"info":"⫖↰⪸1773⫡⨏⫖↰⪸11B8=⫖↰⪸AB4A","layer":1},{"info":"⫖↰⪸143B⊴⫖↰⪸1444=NaN","layer":1},{"info":"⫖↰⪸AB4A⩨NaN=NaN","layer":0}]}
+{"id":222,"expression_no_base_symbol":"(↥$2371$)∑⇟⊟(⨈⫕$7156$)","expression":"(↥⫖↰⪸1457)∑⇟⊟(⨈⫕⫖↰⪸4184)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":913,"operation_count":3,"complexity_ratio":304.3333333333333,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2371,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":7156,"base":12}}},"used_operators":["U7g4x0WXJJ","A8NUZmVepG","megm06wKyl"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2371","layer":2},{"info":"compute unary expreesion, input=2371, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=25","layer":1},{"info":"number node, value=7156","layer":2},{"info":"compute unary expreesion, input=7156, 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=25, right_input=-21, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↥⫖↰⪸1457)∑⇟⊟(⨈⫕⫖↰⪸4184)=NaN","reverse_text":"NaN=(↥⫖↰⪸1457)∑⇟⊟(⨈⫕⫖↰⪸4184)","cot":[{"info":"↥⫖↰⪸1457=⫖↰⪸21","layer":1},{"info":"⨈⫕⫖↰⪸4184=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸21∑⇟⊟⫖↰⪸-19=NaN","layer":0}]}
+{"id":223,"expression_no_base_symbol":"($2750$⊪)⨽$6131$⨓$7489$","expression":"(⫖↰⪸1712⊪)⨽⫖↰⪸366B⨓⫖↰⪸4401","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7538,"operation_count":3,"complexity_ratio":2512.6666666666665,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2750,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6131,"base":12},"right_expr":{"type":"numeric_atoms","value":7489,"base":12}}},"used_operators":["8HhzD0ZcuI","zVYPLywUTj","3ViojmjbAp"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫖↰⪸11926","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2750","layer":2},{"info":"compute unary expreesion, input=2750, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"number node, value=6131","layer":2},{"info":"number node, value=7489","layer":2},{"info":"compute binary expreesion, left_input=6131, right_input=7489, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7492","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-7492, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=23790","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1712⊪)⨽⫖↰⪸366B⨓⫖↰⪸4401=⫖↰⪸11926","reverse_text":"⫖↰⪸11926=(⫖↰⪸1712⊪)⨽⫖↰⪸366B⨓⫖↰⪸4401","cot":[{"info":"⫖↰⪸1712⊪=⫖↰⪸0","layer":1},{"info":"⫖↰⪸366B⨓⫖↰⪸4401=⫖↰⪸-4404","layer":1},{"info":"⫖↰⪸0⨽⫖↰⪸-4404=⫖↰⪸11926","layer":0}]}
+{"id":224,"expression_no_base_symbol":"($5394$+$1521$)⪛($5342$⨐⩸⫘$5724$)","expression":"(⫖↰⪸3156+⫖↰⪸A69)⪛(⫖↰⪸3112⨐⩸⫘⫖↰⪸3390)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5394,"base":12},"right_expr":{"type":"numeric_atoms","value":1521,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5342,"base":12},"right_expr":{"type":"numeric_atoms","value":5724,"base":12}}},"used_operators":["uFcxV4UQCh","W4YGzv6Whe","fu6greOZ01"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5394","layer":2},{"info":"number node, value=1521","layer":2},{"info":"compute binary expreesion, left_input=5394, right_input=1521, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6915","layer":1},{"info":"number node, value=5342","layer":2},{"info":"number node, value=5724","layer":2},{"info":"compute binary expreesion, left_input=5342, right_input=5724, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6915, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3156+⫖↰⪸A69)⪛(⫖↰⪸3112⨐⩸⫘⫖↰⪸3390)=NaN","reverse_text":"NaN=(⫖↰⪸3156+⫖↰⪸A69)⪛(⫖↰⪸3112⨐⩸⫘⫖↰⪸3390)","cot":[{"info":"⫖↰⪸3156+⫖↰⪸A69=⫖↰⪸4003","layer":1},{"info":"⫖↰⪸3112⨐⩸⫘⫖↰⪸3390=NaN","layer":1},{"info":"⫖↰⪸4003⪛NaN=NaN","layer":0}]}
+{"id":225,"expression_no_base_symbol":"$7650$∼$6185$⫸⊐$2159$≎⊠⪸$2644$","expression":"⫖↰⪸4516∼⫖↰⪸36B5⫸⊐⫖↰⪸12BB≎⊠⪸⫖↰⪸1644","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":426,"operation_count":3,"complexity_ratio":142.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7650,"base":12},"right_expr":{"type":"numeric_atoms","value":6185,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2159,"base":12},"right_expr":{"type":"numeric_atoms","value":2644,"base":12}}},"used_operators":["mqXw5SEYmG","DyGG3AbaNP","bJkvcejdHO"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7650","layer":2},{"info":"number node, value=6185","layer":2},{"info":"compute binary expreesion, left_input=7650, right_input=6185, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=2159","layer":2},{"info":"number node, value=2644","layer":2},{"info":"compute binary expreesion, left_input=2159, right_input=2644, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=558708","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=558708, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸4516∼⫖↰⪸36B5⫸⊐⫖↰⪸12BB≎⊠⪸⫖↰⪸1644=NaN","reverse_text":"NaN=⫖↰⪸4516∼⫖↰⪸36B5⫸⊐⫖↰⪸12BB≎⊠⪸⫖↰⪸1644","cot":[{"info":"⫖↰⪸4516∼⫖↰⪸36B5=NaN","layer":1},{"info":"⫖↰⪸12BB≎⊠⪸⫖↰⪸1644=⫖↰⪸22B3B0","layer":1},{"info":"NaN⫸⊐⫖↰⪸22B3B0=NaN","layer":0}]}
+{"id":226,"expression_no_base_symbol":"-(↥$3289$)","expression":"-(↥⫖↰⪸1AA1)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":65,"operation_count":2,"complexity_ratio":32.5,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3289,"base":12}}},"used_operators":["t8gj7n24qd","A8NUZmVepG"],"dependent_operators":["k8jYdgA6NY"],"result":"⫖↰⪸-21","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3289","layer":2},{"info":"compute unary expreesion, input=3289, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=25","layer":1},{"info":"compute unary expreesion, input=25, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-25","layer":0}],"base":12,"result_base":12,"text":"-(↥⫖↰⪸1AA1)=⫖↰⪸-21","reverse_text":"⫖↰⪸-21=-(↥⫖↰⪸1AA1)","cot":[{"info":"↥⫖↰⪸1AA1=⫖↰⪸21","layer":1},{"info":"-⫖↰⪸21=⫖↰⪸-21","layer":0}]}
+{"id":227,"expression_no_base_symbol":"($4909$⫥∨⫟$4052$)⇋≉","expression":"(⫖↰⪸2A11⫥∨⫟⫖↰⪸2418)⇋≉","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":157,"operation_count":2,"complexity_ratio":78.5,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4909,"base":12},"right_expr":{"type":"numeric_atoms","value":4052,"base":12}}},"used_operators":["XIabStNQrY","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4909","layer":2},{"info":"number node, value=4052","layer":2},{"info":"compute binary expreesion, left_input=4909, right_input=4052, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2A11⫥∨⫟⫖↰⪸2418)⇋≉=NaN","reverse_text":"NaN=(⫖↰⪸2A11⫥∨⫟⫖↰⪸2418)⇋≉","cot":[{"info":"⫖↰⪸2A11⫥∨⫟⫖↰⪸2418=NaN","layer":1},{"info":"NaN⇋≉=NaN","layer":0}]}
+{"id":228,"expression_no_base_symbol":"($4448$⩨$3869$)+⇶⊼$4799$⩷∴$1068$","expression":"(⫖↰⪸26A8⩨⫖↰⪸22A5)+⇶⊼⫖↰⪸293B⩷∴⫖↰⪸750","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4448,"base":12},"right_expr":{"type":"numeric_atoms","value":3869,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4799,"base":12},"right_expr":{"type":"numeric_atoms","value":1068,"base":12}}},"used_operators":["TpPTUOHfaN","2DlMacCsIx","9FxExcQeMw"],"dependent_operators":["AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4448","layer":2},{"info":"number node, value=3869","layer":2},{"info":"compute binary expreesion, left_input=4448, right_input=3869, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=4799","layer":2},{"info":"number node, value=1068","layer":2},{"info":"compute binary expreesion, left_input=4799, right_input=1068, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7430","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=7430, 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":12,"result_base":12,"text":"(⫖↰⪸26A8⩨⫖↰⪸22A5)+⇶⊼⫖↰⪸293B⩷∴⫖↰⪸750=NaN","reverse_text":"NaN=(⫖↰⪸26A8⩨⫖↰⪸22A5)+⇶⊼⫖↰⪸293B⩷∴⫖↰⪸750","cot":[{"info":"⫖↰⪸26A8⩨⫖↰⪸22A5=⫖↰⪸0","layer":1},{"info":"⫖↰⪸293B⩷∴⫖↰⪸750=⫖↰⪸4372","layer":1},{"info":"⫖↰⪸0+⇶⊼⫖↰⪸4372=NaN","layer":0}]}
+{"id":229,"expression_no_base_symbol":"$1429$⪛$2962$⩨($5112$/$2416$)","expression":"⫖↰⪸9B1⪛⫖↰⪸186A⩨(⫖↰⪸2B60/⫖↰⪸1494)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1429,"base":12},"right_expr":{"type":"numeric_atoms","value":2962,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5112,"base":12},"right_expr":{"type":"numeric_atoms","value":2416,"base":12}}},"used_operators":["2DlMacCsIx","uFcxV4UQCh","XhwjNDsVaA"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1429","layer":2},{"info":"number node, value=2962","layer":2},{"info":"compute binary expreesion, left_input=1429, right_input=2962, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1429","layer":1},{"info":"number node, value=5112","layer":2},{"info":"number node, value=2416","layer":2},{"info":"compute binary expreesion, left_input=5112, right_input=2416, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":1},{"info":"compute binary expreesion, left_input=1429, right_input=2, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸9B1⪛⫖↰⪸186A⩨(⫖↰⪸2B60/⫖↰⪸1494)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫖↰⪸9B1⪛⫖↰⪸186A⩨(⫖↰⪸2B60/⫖↰⪸1494)","cot":[{"info":"⫖↰⪸9B1⪛⫖↰⪸186A=⫖↰⪸9B1","layer":1},{"info":"⫖↰⪸2B60/⫖↰⪸1494=⫖↰⪸2","layer":1},{"info":"⫖↰⪸9B1⩨⫖↰⪸2=⫖↰⪸0","layer":0}]}
+{"id":230,"expression_no_base_symbol":"(⇁⨣⪵$1955$)+($7922$⪐)","expression":"(⇁⨣⪵⫖↰⪸116B)+(⫖↰⪸4702⪐)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1955,"base":12}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":7922,"base":12}}},"used_operators":["W4YGzv6Whe","inkyxCbjAn","eH2TOUuTDT"],"dependent_operators":["B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1955","layer":2},{"info":"compute unary expreesion, input=1955, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=7922","layer":2},{"info":"compute unary expreesion, input=7922, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=15844","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=15844, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇁⨣⪵⫖↰⪸116B)+(⫖↰⪸4702⪐)=NaN","reverse_text":"NaN=(⇁⨣⪵⫖↰⪸116B)+(⫖↰⪸4702⪐)","cot":[{"info":"⇁⨣⪵⫖↰⪸116B=NaN","layer":1},{"info":"⫖↰⪸4702⪐=⫖↰⪸9204","layer":1},{"info":"NaN+⫖↰⪸9204=NaN","layer":0}]}
+{"id":231,"expression_no_base_symbol":"($2153$⫸⊐$2441$)↬($4212$⪒$4015$)","expression":"(⫖↰⪸12B5⫸⊐⫖↰⪸14B5)↬(⫖↰⪸2530⪒⫖↰⪸23A7)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2153,"base":12},"right_expr":{"type":"numeric_atoms","value":2441,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4212,"base":12},"right_expr":{"type":"numeric_atoms","value":4015,"base":12}}},"used_operators":["B5M0gjZbta","mqXw5SEYmG","f6k1SAg4EE"],"dependent_operators":["rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2153","layer":2},{"info":"number node, value=2441","layer":2},{"info":"compute binary expreesion, left_input=2153, right_input=2441, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9639","layer":1},{"info":"number node, value=4212","layer":2},{"info":"number node, value=4015","layer":2},{"info":"compute binary expreesion, left_input=4212, right_input=4015, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8227","layer":1},{"info":"compute binary expreesion, left_input=9639, right_input=-8227, 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":12,"result_base":12,"text":"(⫖↰⪸12B5⫸⊐⫖↰⪸14B5)↬(⫖↰⪸2530⪒⫖↰⪸23A7)=NaN","reverse_text":"NaN=(⫖↰⪸12B5⫸⊐⫖↰⪸14B5)↬(⫖↰⪸2530⪒⫖↰⪸23A7)","cot":[{"info":"⫖↰⪸12B5⫸⊐⫖↰⪸14B5=⫖↰⪸56B3","layer":1},{"info":"⫖↰⪸2530⪒⫖↰⪸23A7=⫖↰⪸-4917","layer":1},{"info":"⫖↰⪸56B3↬⫖↰⪸-4917=NaN","layer":0}]}
+{"id":232,"expression_no_base_symbol":"($1616$↺$4593$)⪮%⊝($1516$↺$3027$)","expression":"(⫖↰⪸B28↺⫖↰⪸27A9)⪮%⊝(⫖↰⪸A64↺⫖↰⪸1903)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1616,"base":12},"right_expr":{"type":"numeric_atoms","value":4593,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1516,"base":12},"right_expr":{"type":"numeric_atoms","value":3027,"base":12}}},"used_operators":["IWmyXbctLI","7j4O788W3g"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸55BA","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1616","layer":2},{"info":"number node, value=4593","layer":2},{"info":"compute binary expreesion, left_input=1616, right_input=4593, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4593","layer":1},{"info":"number node, value=1516","layer":2},{"info":"number node, value=3027","layer":2},{"info":"compute binary expreesion, left_input=1516, right_input=3027, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3027","layer":1},{"info":"compute binary expreesion, left_input=4593, right_input=3027, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9502","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸B28↺⫖↰⪸27A9)⪮%⊝(⫖↰⪸A64↺⫖↰⪸1903)=⫖↰⪸55BA","reverse_text":"⫖↰⪸55BA=(⫖↰⪸B28↺⫖↰⪸27A9)⪮%⊝(⫖↰⪸A64↺⫖↰⪸1903)","cot":[{"info":"⫖↰⪸B28↺⫖↰⪸27A9=⫖↰⪸27A9","layer":1},{"info":"⫖↰⪸A64↺⫖↰⪸1903=⫖↰⪸1903","layer":1},{"info":"⫖↰⪸27A9⪮%⊝⫖↰⪸1903=⫖↰⪸55BA","layer":0}]}
+{"id":233,"expression_no_base_symbol":"(+⊝⨔$8871$)≦≮≮","expression":"(+⊝⨔⫖↰⪸5173)≦≮≮","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":43,"operation_count":2,"complexity_ratio":21.5,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":8871,"base":12}}},"used_operators":["D4vGDi5EA2","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫖↰⪸-2786","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8871","layer":2},{"info":"compute unary expreesion, input=8871, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute unary expreesion, input=1522, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4566","layer":0}],"base":12,"result_base":12,"text":"(+⊝⨔⫖↰⪸5173)≦≮≮=⫖↰⪸-2786","reverse_text":"⫖↰⪸-2786=(+⊝⨔⫖↰⪸5173)≦≮≮","cot":[{"info":"+⊝⨔⫖↰⪸5173=⫖↰⪸A6A","layer":1},{"info":"⫖↰⪸A6A≦≮≮=⫖↰⪸-2786","layer":0}]}
+{"id":234,"expression_no_base_symbol":"($3038$⩤)↙($1034$/$1141$)","expression":"(⫖↰⪸1912⩤)↙(⫖↰⪸722/⫖↰⪸7B1)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3038,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1034,"base":12},"right_expr":{"type":"numeric_atoms","value":1141,"base":12}}},"used_operators":["yyfyN0ffXY","Z2TMIBDE3Q","XhwjNDsVaA"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-1912","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3038","layer":2},{"info":"compute unary expreesion, input=3038, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3038","layer":1},{"info":"number node, value=1034","layer":2},{"info":"number node, value=1141","layer":2},{"info":"compute binary expreesion, left_input=1034, right_input=1141, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=-3038, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3038","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1912⩤)↙(⫖↰⪸722/⫖↰⪸7B1)=⫖↰⪸-1912","reverse_text":"⫖↰⪸-1912=(⫖↰⪸1912⩤)↙(⫖↰⪸722/⫖↰⪸7B1)","cot":[{"info":"⫖↰⪸1912⩤=⫖↰⪸-1912","layer":1},{"info":"⫖↰⪸722/⫖↰⪸7B1=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-1912↙⫖↰⪸0=⫖↰⪸-1912","layer":0}]}
+{"id":235,"expression_no_base_symbol":"($1582$⩷∴$1969$)≹⇙⪍(⨑⩽⪐$8354$)","expression":"(⫖↰⪸ABA⩷∴⫖↰⪸1181)≹⇙⪍(⨑⩽⪐⫖↰⪸4A02)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1582,"base":12},"right_expr":{"type":"numeric_atoms","value":1969,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":8354,"base":12}}},"used_operators":["AHs5Up7iyr","9FxExcQeMw","AF7qkfDlqP"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1582","layer":2},{"info":"number node, value=1969","layer":2},{"info":"compute binary expreesion, left_input=1582, right_input=1969, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-806","layer":1},{"info":"number node, value=8354","layer":2},{"info":"compute unary expreesion, input=8354, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-8081","layer":1},{"info":"compute binary expreesion, left_input=-806, right_input=-8081, 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":12,"result_base":12,"text":"(⫖↰⪸ABA⩷∴⫖↰⪸1181)≹⇙⪍(⨑⩽⪐⫖↰⪸4A02)=NaN","reverse_text":"NaN=(⫖↰⪸ABA⩷∴⫖↰⪸1181)≹⇙⪍(⨑⩽⪐⫖↰⪸4A02)","cot":[{"info":"⫖↰⪸ABA⩷∴⫖↰⪸1181=⫖↰⪸-572","layer":1},{"info":"⨑⩽⪐⫖↰⪸4A02=⫖↰⪸-4815","layer":1},{"info":"⫖↰⪸-572≹⇙⪍⫖↰⪸-4815=NaN","layer":0}]}
+{"id":236,"expression_no_base_symbol":"$2474$≎⊠⪸$3520$⫸⊐$2602$⋝⋈⪟$1394$","expression":"⫖↰⪸1522≎⊠⪸⫖↰⪸2054⫸⊐⫖↰⪸160A⋝⋈⪟⫖↰⪸982","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":297,"operation_count":3,"complexity_ratio":99.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2474,"base":12},"right_expr":{"type":"numeric_atoms","value":3520,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2602,"base":12},"right_expr":{"type":"numeric_atoms","value":1394,"base":12}}},"used_operators":["mqXw5SEYmG","bJkvcejdHO","2DDjHMKMc0"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸5B4B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2474","layer":2},{"info":"number node, value=3520","layer":2},{"info":"compute binary expreesion, left_input=2474, right_input=3520, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=640293","layer":1},{"info":"number node, value=2602","layer":2},{"info":"number node, value=1394","layer":2},{"info":"compute binary expreesion, left_input=2602, right_input=1394, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2602","layer":1},{"info":"compute binary expreesion, left_input=640293, right_input=2602, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10283","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1522≎⊠⪸⫖↰⪸2054⫸⊐⫖↰⪸160A⋝⋈⪟⫖↰⪸982=⫖↰⪸5B4B","reverse_text":"⫖↰⪸5B4B=⫖↰⪸1522≎⊠⪸⫖↰⪸2054⫸⊐⫖↰⪸160A⋝⋈⪟⫖↰⪸982","cot":[{"info":"⫖↰⪸1522≎⊠⪸⫖↰⪸2054=⫖↰⪸26A659","layer":1},{"info":"⫖↰⪸160A⋝⋈⪟⫖↰⪸982=⫖↰⪸160A","layer":1},{"info":"⫖↰⪸26A659⫸⊐⫖↰⪸160A=⫖↰⪸5B4B","layer":0}]}
+{"id":237,"expression_no_base_symbol":"$4697$⊴$1248$⨓($3961$/$1078$)","expression":"⫖↰⪸2875⊴⫖↰⪸880⨓(⫖↰⪸2361/⫖↰⪸75A)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2178,"operation_count":3,"complexity_ratio":726.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4697,"base":12},"right_expr":{"type":"numeric_atoms","value":1248,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3961,"base":12},"right_expr":{"type":"numeric_atoms","value":1078,"base":12}}},"used_operators":["3ViojmjbAp","Nsiff2A1zJ","XhwjNDsVaA"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z"],"result":"⫖↰⪸-6","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4697","layer":2},{"info":"number node, value=1248","layer":2},{"info":"compute binary expreesion, left_input=4697, right_input=1248, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=3961","layer":2},{"info":"number node, value=1078","layer":2},{"info":"compute binary expreesion, left_input=3961, right_input=1078, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2875⊴⫖↰⪸880⨓(⫖↰⪸2361/⫖↰⪸75A)=⫖↰⪸-6","reverse_text":"⫖↰⪸-6=⫖↰⪸2875⊴⫖↰⪸880⨓(⫖↰⪸2361/⫖↰⪸75A)","cot":[{"info":"⫖↰⪸2875⊴⫖↰⪸880=NaN","layer":1},{"info":"⫖↰⪸2361/⫖↰⪸75A=⫖↰⪸3","layer":1},{"info":"NaN⨓⫖↰⪸3=⫖↰⪸-6","layer":0}]}
+{"id":238,"expression_no_base_symbol":"$2014$⪛$1004$⊪","expression":"⫖↰⪸11BA⪛⫖↰⪸6B8⊪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23,"operation_count":2,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2014,"base":12},"right_expr":{"type":"numeric_atoms","value":1004,"base":12}}},"used_operators":["zVYPLywUTj","uFcxV4UQCh"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2014","layer":2},{"info":"number node, value=1004","layer":2},{"info":"compute binary expreesion, left_input=2014, right_input=1004, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=6","layer":1},{"info":"compute unary expreesion, input=6, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸11BA⪛⫖↰⪸6B8⊪=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫖↰⪸11BA⪛⫖↰⪸6B8⊪","cot":[{"info":"⫖↰⪸11BA⪛⫖↰⪸6B8=⫖↰⪸6","layer":1},{"info":"⫖↰⪸6⊪=⫖↰⪸0","layer":0}]}
+{"id":239,"expression_no_base_symbol":"$6002$-$7865$+($3107$⩤)","expression":"⫖↰⪸3582-⫖↰⪸4675+(⫖↰⪸196B⩤)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6002,"base":12},"right_expr":{"type":"numeric_atoms","value":7865,"base":12}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3107,"base":12}}},"used_operators":["W4YGzv6Whe","rysDP5nf3Z","Z2TMIBDE3Q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-2A62","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6002","layer":2},{"info":"number node, value=7865","layer":2},{"info":"compute binary expreesion, left_input=6002, right_input=7865, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1863","layer":1},{"info":"number node, value=3107","layer":2},{"info":"compute unary expreesion, input=3107, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3107","layer":1},{"info":"compute binary expreesion, left_input=-1863, right_input=-3107, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-4970","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3582-⫖↰⪸4675+(⫖↰⪸196B⩤)=⫖↰⪸-2A62","reverse_text":"⫖↰⪸-2A62=⫖↰⪸3582-⫖↰⪸4675+(⫖↰⪸196B⩤)","cot":[{"info":"⫖↰⪸3582-⫖↰⪸4675=⫖↰⪸-10B3","layer":1},{"info":"⫖↰⪸196B⩤=⫖↰⪸-196B","layer":1},{"info":"⫖↰⪸-10B3+⫖↰⪸-196B=⫖↰⪸-2A62","layer":0}]}
+{"id":240,"expression_no_base_symbol":"($5637$⇼⇔∾$4715$)⋥≓≎(↣≠⋷$1285$)","expression":"(⫖↰⪸3319⇼⇔∾⫖↰⪸288B)⋥≓≎(↣≠⋷⫖↰⪸8B1)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5637,"base":12},"right_expr":{"type":"numeric_atoms","value":4715,"base":12}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1285,"base":12}}},"used_operators":["Qy55tPpLXF","tifHPKVTfV","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5637","layer":2},{"info":"number node, value=4715","layer":2},{"info":"compute binary expreesion, left_input=5637, right_input=4715, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-922","layer":1},{"info":"number node, value=1285","layer":2},{"info":"compute unary expreesion, input=1285, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-922, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3319⇼⇔∾⫖↰⪸288B)⋥≓≎(↣≠⋷⫖↰⪸8B1)=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⫖↰⪸3319⇼⇔∾⫖↰⪸288B)⋥≓≎(↣≠⋷⫖↰⪸8B1)","cot":[{"info":"⫖↰⪸3319⇼⇔∾⫖↰⪸288B=⫖↰⪸-64A","layer":1},{"info":"↣≠⋷⫖↰⪸8B1=NaN","layer":1},{"info":"⫖↰⪸-64A⋥≓≎NaN=⫖↰⪸57","layer":0}]}
+{"id":241,"expression_no_base_symbol":"(⋗⩬⋾$2557$)⩨($1449$⨁⊸⫻)","expression":"(⋗⩬⋾⫖↰⪸1591)⩨(⫖↰⪸A09⨁⊸⫻)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2557,"base":12}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1449,"base":12}}},"used_operators":["2DlMacCsIx","DpFCA1CohY","glklzrTFfD"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸3","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2557","layer":2},{"info":"compute unary expreesion, input=2557, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7671","layer":1},{"info":"number node, value=1449","layer":2},{"info":"compute unary expreesion, input=1449, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1449","layer":1},{"info":"compute binary expreesion, left_input=-7671, right_input=1449, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":0}],"base":12,"result_base":12,"text":"(⋗⩬⋾⫖↰⪸1591)⩨(⫖↰⪸A09⨁⊸⫻)=⫖↰⪸3","reverse_text":"⫖↰⪸3=(⋗⩬⋾⫖↰⪸1591)⩨(⫖↰⪸A09⨁⊸⫻)","cot":[{"info":"⋗⩬⋾⫖↰⪸1591=⫖↰⪸-4533","layer":1},{"info":"⫖↰⪸A09⨁⊸⫻=⫖↰⪸A09","layer":1},{"info":"⫖↰⪸-4533⩨⫖↰⪸A09=⫖↰⪸3","layer":0}]}
+{"id":242,"expression_no_base_symbol":"$7790$⨟⋌⩍$4299$⨸⪁($1432$⪒$1274$)","expression":"⫖↰⪸4612⨟⋌⩍⫖↰⪸25A3⨸⪁(⫖↰⪸9B4⪒⫖↰⪸8A2)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7790,"base":12},"right_expr":{"type":"numeric_atoms","value":4299,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1432,"base":12},"right_expr":{"type":"numeric_atoms","value":1274,"base":12}}},"used_operators":["g55IO6H4Gj","rGHVDoGpnC","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7790","layer":2},{"info":"number node, value=4299","layer":2},{"info":"compute binary expreesion, left_input=7790, right_input=4299, 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=1432","layer":2},{"info":"number node, value=1274","layer":2},{"info":"compute binary expreesion, left_input=1432, right_input=1274, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2706","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2706, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸4612⨟⋌⩍⫖↰⪸25A3⨸⪁(⫖↰⪸9B4⪒⫖↰⪸8A2)=NaN","reverse_text":"NaN=⫖↰⪸4612⨟⋌⩍⫖↰⪸25A3⨸⪁(⫖↰⪸9B4⪒⫖↰⪸8A2)","cot":[{"info":"⫖↰⪸4612⨟⋌⩍⫖↰⪸25A3=NaN","layer":1},{"info":"⫖↰⪸9B4⪒⫖↰⪸8A2=⫖↰⪸-1696","layer":1},{"info":"NaN⨸⪁⫖↰⪸-1696=NaN","layer":0}]}
+{"id":243,"expression_no_base_symbol":"$5121$∑⇟⊟$1651$⊭↱(⫓⪴$4117$)","expression":"⫖↰⪸2B69∑⇟⊟⫖↰⪸B57⊭↱(⫓⪴⫖↰⪸2471)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4124,"operation_count":3,"complexity_ratio":1374.6666666666667,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5121,"base":12},"right_expr":{"type":"numeric_atoms","value":1651,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4117,"base":12}}},"used_operators":["COABgblf1C","U7g4x0WXJJ","eLxqMNBOBk"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5121","layer":2},{"info":"number node, value=1651","layer":2},{"info":"compute binary expreesion, left_input=5121, right_input=1651, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=4117","layer":2},{"info":"compute unary expreesion, input=4117, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=16949689","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=16949689, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2B69∑⇟⊟⫖↰⪸B57⊭↱(⫓⪴⫖↰⪸2471)=NaN","reverse_text":"NaN=⫖↰⪸2B69∑⇟⊟⫖↰⪸B57⊭↱(⫓⪴⫖↰⪸2471)","cot":[{"info":"⫖↰⪸2B69∑⇟⊟⫖↰⪸B57=NaN","layer":1},{"info":"⫓⪴⫖↰⪸2471=⫖↰⪸5814A21","layer":1},{"info":"NaN⊭↱⫖↰⪸5814A21=NaN","layer":0}]}
+{"id":244,"expression_no_base_symbol":"⨵≀≌$3171$≧⫂∧$3827$","expression":"⨵≀≌⫖↰⪸1A03≧⫂∧⫖↰⪸226B","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3171,"base":12},"right_expr":{"type":"numeric_atoms","value":3827,"base":12}}},"used_operators":["srAu1WTS94","Ph9nP6C5qx"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-59A6","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3171","layer":2},{"info":"number node, value=3827","layer":2},{"info":"compute binary expreesion, left_input=3171, right_input=3827, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3354","layer":1},{"info":"compute unary expreesion, input=3354, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10062","layer":0}],"base":12,"result_base":12,"text":"⨵≀≌⫖↰⪸1A03≧⫂∧⫖↰⪸226B=⫖↰⪸-59A6","reverse_text":"⫖↰⪸-59A6=⨵≀≌⫖↰⪸1A03≧⫂∧⫖↰⪸226B","cot":[{"info":"⫖↰⪸1A03≧⫂∧⫖↰⪸226B=⫖↰⪸1B36","layer":1},{"info":"⨵≀≌⫖↰⪸1B36=⫖↰⪸-59A6","layer":0}]}
+{"id":245,"expression_no_base_symbol":"(↣≠⋷$1848$)⊪","expression":"(↣≠⋷⫖↰⪸10A0)⊪","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1848,"base":12}}},"used_operators":["zVYPLywUTj","Asc51vEJeQ"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1848","layer":2},{"info":"compute unary expreesion, input=1848, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', 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":12,"result_base":12,"text":"(↣≠⋷⫖↰⪸10A0)⊪=NaN","reverse_text":"NaN=(↣≠⋷⫖↰⪸10A0)⊪","cot":[{"info":"↣≠⋷⫖↰⪸10A0=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
+{"id":246,"expression_no_base_symbol":"$2471$⨰$4840$⇼⇔∾$1320$≎⊠⪸$5482$","expression":"⫖↰⪸151B⨰⫖↰⪸2974⇼⇔∾⫖↰⪸920≎⊠⪸⫖↰⪸320A","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":278,"operation_count":3,"complexity_ratio":92.66666666666667,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2471,"base":12},"right_expr":{"type":"numeric_atoms","value":4840,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1320,"base":12},"right_expr":{"type":"numeric_atoms","value":5482,"base":12}}},"used_operators":["tifHPKVTfV","eewbuw0ToL","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫖↰⪸146B32","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2471","layer":2},{"info":"number node, value=4840","layer":2},{"info":"compute binary expreesion, left_input=2471, right_input=4840, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2359","layer":1},{"info":"number node, value=1320","layer":2},{"info":"number node, value=5482","layer":2},{"info":"compute binary expreesion, left_input=1320, right_input=5482, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=341407","layer":1},{"info":"compute binary expreesion, left_input=-2359, right_input=341407, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=343766","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸151B⨰⫖↰⪸2974⇼⇔∾⫖↰⪸920≎⊠⪸⫖↰⪸320A=⫖↰⪸146B32","reverse_text":"⫖↰⪸146B32=⫖↰⪸151B⨰⫖↰⪸2974⇼⇔∾⫖↰⪸920≎⊠⪸⫖↰⪸320A","cot":[{"info":"⫖↰⪸151B⨰⫖↰⪸2974=⫖↰⪸-1447","layer":1},{"info":"⫖↰⪸920≎⊠⪸⫖↰⪸320A=⫖↰⪸1456A7","layer":1},{"info":"⫖↰⪸-1447⇼⇔∾⫖↰⪸1456A7=⫖↰⪸146B32","layer":0}]}
+{"id":247,"expression_no_base_symbol":"(⇁⨣⪵$5965$)⪒(⪲⇎$8187$)","expression":"(⇁⨣⪵⫖↰⪸3551)⪒(⪲⇎⫖↰⪸48A3)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5965,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":8187,"base":12}}},"used_operators":["f6k1SAg4EE","inkyxCbjAn","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5965","layer":2},{"info":"compute unary expreesion, input=5965, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=8187","layer":2},{"info":"compute unary expreesion, input=8187, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=16374","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=16374, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇁⨣⪵⫖↰⪸3551)⪒(⪲⇎⫖↰⪸48A3)=NaN","reverse_text":"NaN=(⇁⨣⪵⫖↰⪸3551)⪒(⪲⇎⫖↰⪸48A3)","cot":[{"info":"⇁⨣⪵⫖↰⪸3551=NaN","layer":1},{"info":"⪲⇎⫖↰⪸48A3=⫖↰⪸9586","layer":1},{"info":"NaN⪒⫖↰⪸9586=NaN","layer":0}]}
+{"id":248,"expression_no_base_symbol":"$2303$⊴$1105$⨎$4323$+⇶⊼$1687$","expression":"⫖↰⪸13BB⊴⫖↰⪸781⨎⫖↰⪸2603+⇶⊼⫖↰⪸B87","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2109,"operation_count":3,"complexity_ratio":703.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2303,"base":12},"right_expr":{"type":"numeric_atoms","value":1105,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4323,"base":12},"right_expr":{"type":"numeric_atoms","value":1687,"base":12}}},"used_operators":["rJVOvQCfKK","Nsiff2A1zJ","TpPTUOHfaN"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2303","layer":2},{"info":"number node, value=1105","layer":2},{"info":"compute binary expreesion, left_input=2303, right_input=1105, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=4323","layer":2},{"info":"number node, value=1687","layer":2},{"info":"compute binary expreesion, left_input=4323, right_input=1687, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":12,"result_base":12,"text":"⫖↰⪸13BB⊴⫖↰⪸781⨎⫖↰⪸2603+⇶⊼⫖↰⪸B87=NaN","reverse_text":"NaN=⫖↰⪸13BB⊴⫖↰⪸781⨎⫖↰⪸2603+⇶⊼⫖↰⪸B87","cot":[{"info":"⫖↰⪸13BB⊴⫖↰⪸781=NaN","layer":1},{"info":"⫖↰⪸2603+⇶⊼⫖↰⪸B87=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
+{"id":249,"expression_no_base_symbol":"$2470$⨟⋌⩍$1399$⫸⊐$2988$↬$2738$","expression":"⫖↰⪸151A⨟⋌⩍⫖↰⪸987⫸⊐⫖↰⪸1890↬⫖↰⪸1702","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2470,"base":12},"right_expr":{"type":"numeric_atoms","value":1399,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2988,"base":12},"right_expr":{"type":"numeric_atoms","value":2738,"base":12}}},"used_operators":["mqXw5SEYmG","rGHVDoGpnC","B5M0gjZbta"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2470","layer":2},{"info":"number node, value=1399","layer":2},{"info":"compute binary expreesion, left_input=2470, right_input=1399, 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=2988","layer":2},{"info":"number node, value=2738","layer":2},{"info":"compute binary expreesion, left_input=2988, right_input=2738, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸151A⨟⋌⩍⫖↰⪸987⫸⊐⫖↰⪸1890↬⫖↰⪸1702=NaN","reverse_text":"NaN=⫖↰⪸151A⨟⋌⩍⫖↰⪸987⫸⊐⫖↰⪸1890↬⫖↰⪸1702","cot":[{"info":"⫖↰⪸151A⨟⋌⩍⫖↰⪸987=NaN","layer":1},{"info":"⫖↰⪸1890↬⫖↰⪸1702=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
+{"id":250,"expression_no_base_symbol":"↥($4912$⪄$2328$)","expression":"↥(⫖↰⪸2A14⪄⫖↰⪸1420)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14455,"operation_count":2,"complexity_ratio":7227.5,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4912,"base":12},"right_expr":{"type":"numeric_atoms","value":2328,"base":12}}},"used_operators":["A8NUZmVepG","SUmda5xLS4"],"dependent_operators":["k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫖↰⪸2A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4912","layer":2},{"info":"number node, value=2328","layer":2},{"info":"compute binary expreesion, left_input=4912, right_input=2328, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-732377","layer":1},{"info":"compute unary expreesion, input=-732377, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=34","layer":0}],"base":12,"result_base":12,"text":"↥(⫖↰⪸2A14⪄⫖↰⪸1420)=⫖↰⪸2A","reverse_text":"⫖↰⪸2A=↥(⫖↰⪸2A14⪄⫖↰⪸1420)","cot":[{"info":"⫖↰⪸2A14⪄⫖↰⪸1420=⫖↰⪸-2B39B5","layer":1},{"info":"↥⫖↰⪸-2B39B5=⫖↰⪸2A","layer":0}]}
+{"id":251,"expression_no_base_symbol":"($3296$⫡⨏$5528$)⪄($4089$⇼⇔∾$2101$)","expression":"(⫖↰⪸1AA8⫡⨏⫖↰⪸3248)⪄(⫖↰⪸2449⇼⇔∾⫖↰⪸1271)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":103,"operation_count":3,"complexity_ratio":34.333333333333336,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3296,"base":12},"right_expr":{"type":"numeric_atoms","value":5528,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4089,"base":12},"right_expr":{"type":"numeric_atoms","value":2101,"base":12}}},"used_operators":["SUmda5xLS4","QMFrweE19q","tifHPKVTfV"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-1496731","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3296","layer":2},{"info":"number node, value=5528","layer":2},{"info":"compute binary expreesion, left_input=3296, right_input=5528, 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=28319","layer":1},{"info":"number node, value=4089","layer":2},{"info":"number node, value=2101","layer":2},{"info":"compute binary expreesion, left_input=4089, right_input=2101, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1988","layer":1},{"info":"compute binary expreesion, left_input=28319, right_input=-1988, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-4179349","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1AA8⫡⨏⫖↰⪸3248)⪄(⫖↰⪸2449⇼⇔∾⫖↰⪸1271)=⫖↰⪸-1496731","reverse_text":"⫖↰⪸-1496731=(⫖↰⪸1AA8⫡⨏⫖↰⪸3248)⪄(⫖↰⪸2449⇼⇔∾⫖↰⪸1271)","cot":[{"info":"⫖↰⪸1AA8⫡⨏⫖↰⪸3248=⫖↰⪸1447B","layer":1},{"info":"⫖↰⪸2449⇼⇔∾⫖↰⪸1271=⫖↰⪸-1198","layer":1},{"info":"⫖↰⪸1447B⪄⫖↰⪸-1198=⫖↰⪸-1496731","layer":0}]}
+{"id":252,"expression_no_base_symbol":"$3195$∑⇟⊟$1099$⨸⪁$2763$⨪↰⇹$1036$","expression":"⫖↰⪸1A23∑⇟⊟⫖↰⪸777⨸⪁⫖↰⪸1723⨪↰⇹⫖↰⪸724","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2767,"operation_count":3,"complexity_ratio":922.3333333333334,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3195,"base":12},"right_expr":{"type":"numeric_atoms","value":1099,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2763,"base":12},"right_expr":{"type":"numeric_atoms","value":1036,"base":12}}},"used_operators":["g55IO6H4Gj","U7g4x0WXJJ","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3195","layer":2},{"info":"number node, value=1099","layer":2},{"info":"compute binary expreesion, left_input=3195, right_input=1099, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2763","layer":2},{"info":"number node, value=1036","layer":2},{"info":"compute binary expreesion, left_input=2763, right_input=1036, 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=2763","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2763, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1A23∑⇟⊟⫖↰⪸777⨸⪁⫖↰⪸1723⨪↰⇹⫖↰⪸724=NaN","reverse_text":"NaN=⫖↰⪸1A23∑⇟⊟⫖↰⪸777⨸⪁⫖↰⪸1723⨪↰⇹⫖↰⪸724","cot":[{"info":"⫖↰⪸1A23∑⇟⊟⫖↰⪸777=NaN","layer":1},{"info":"⫖↰⪸1723⨪↰⇹⫖↰⪸724=⫖↰⪸1723","layer":1},{"info":"NaN⨸⪁⫖↰⪸1723=NaN","layer":0}]}
+{"id":253,"expression_no_base_symbol":"(⊄⩳↩$4469$)⨐⩸⫘($1717$*$2781$)","expression":"(⊄⩳↩⫖↰⪸2705)⨐⩸⫘(⫖↰⪸BB1*⫖↰⪸1739)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1721,"operation_count":3,"complexity_ratio":573.6666666666666,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4469,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1717,"base":12},"right_expr":{"type":"numeric_atoms","value":2781,"base":12}}},"used_operators":["fu6greOZ01","8w2t5hMYqp","9HNa5Wba9A"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4469","layer":2},{"info":"compute unary expreesion, input=4469, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-13407","layer":1},{"info":"number node, value=1717","layer":2},{"info":"number node, value=2781","layer":2},{"info":"compute binary expreesion, left_input=1717, right_input=2781, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4774977","layer":1},{"info":"compute binary expreesion, left_input=-13407, right_input=4774977, 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":12,"result_base":12,"text":"(⊄⩳↩⫖↰⪸2705)⨐⩸⫘(⫖↰⪸BB1*⫖↰⪸1739)=NaN","reverse_text":"NaN=(⊄⩳↩⫖↰⪸2705)⨐⩸⫘(⫖↰⪸BB1*⫖↰⪸1739)","cot":[{"info":"⊄⩳↩⫖↰⪸2705=⫖↰⪸-7913","layer":1},{"info":"⫖↰⪸BB1*⫖↰⪸1739=⫖↰⪸1723369","layer":1},{"info":"⫖↰⪸-7913⨐⩸⫘⫖↰⪸1723369=NaN","layer":0}]}
+{"id":254,"expression_no_base_symbol":"$6564$⨎$7539$↛⩡⫤","expression":"⫖↰⪸3970⨎⫖↰⪸4443↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":22752,"operation_count":2,"complexity_ratio":11376.0,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6564,"base":12},"right_expr":{"type":"numeric_atoms","value":7539,"base":12}}},"used_operators":["FU0Cs4j7VP","rJVOvQCfKK"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸-46863A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6564","layer":2},{"info":"number node, value=7539","layer":2},{"info":"compute binary expreesion, left_input=6564, right_input=7539, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7539","layer":1},{"info":"compute unary expreesion, input=7539, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1134478","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3970⨎⫖↰⪸4443↛⩡⫤=⫖↰⪸-46863A","reverse_text":"⫖↰⪸-46863A=⫖↰⪸3970⨎⫖↰⪸4443↛⩡⫤","cot":[{"info":"⫖↰⪸3970⨎⫖↰⪸4443=⫖↰⪸4443","layer":1},{"info":"⫖↰⪸4443↛⩡⫤=⫖↰⪸-46863A","layer":0}]}
+{"id":255,"expression_no_base_symbol":"($1475$⋳⪒$1536$)+⇶⊼($3727$*$1540$)","expression":"(⫖↰⪸A2B⋳⪒⫖↰⪸A80)+⇶⊼(⫖↰⪸21A7*⫖↰⪸A84)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1548,"operation_count":3,"complexity_ratio":516.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1475,"base":12},"right_expr":{"type":"numeric_atoms","value":1536,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3727,"base":12},"right_expr":{"type":"numeric_atoms","value":1540,"base":12}}},"used_operators":["TpPTUOHfaN","12rbrZMWeM","9HNa5Wba9A"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1475","layer":2},{"info":"number node, value=1536","layer":2},{"info":"compute binary expreesion, left_input=1475, right_input=1536, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1127","layer":1},{"info":"number node, value=3727","layer":2},{"info":"number node, value=1540","layer":2},{"info":"compute binary expreesion, left_input=3727, right_input=1540, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5739580","layer":1},{"info":"compute binary expreesion, left_input=1127, right_input=5739580, 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":12,"result_base":12,"text":"(⫖↰⪸A2B⋳⪒⫖↰⪸A80)+⇶⊼(⫖↰⪸21A7*⫖↰⪸A84)=NaN","reverse_text":"NaN=(⫖↰⪸A2B⋳⪒⫖↰⪸A80)+⇶⊼(⫖↰⪸21A7*⫖↰⪸A84)","cot":[{"info":"⫖↰⪸A2B⋳⪒⫖↰⪸A80=⫖↰⪸79B","layer":1},{"info":"⫖↰⪸21A7*⫖↰⪸A84=⫖↰⪸1B09624","layer":1},{"info":"⫖↰⪸79B+⇶⊼⫖↰⪸1B09624=NaN","layer":0}]}
+{"id":256,"expression_no_base_symbol":"($1024$⋥≓≎$3221$)⊦⊿","expression":"(⫖↰⪸714⋥≓≎⫖↰⪸1A45)⊦⊿","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1024,"base":12},"right_expr":{"type":"numeric_atoms","value":3221,"base":12}}},"used_operators":["14qkJME0vr","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-9614","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1024","layer":2},{"info":"number node, value=3221","layer":2},{"info":"compute binary expreesion, left_input=1024, right_input=3221, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5451","layer":1},{"info":"compute unary expreesion, input=5451, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-16432","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸714⋥≓≎⫖↰⪸1A45)⊦⊿=⫖↰⪸-9614","reverse_text":"⫖↰⪸-9614=(⫖↰⪸714⋥≓≎⫖↰⪸1A45)⊦⊿","cot":[{"info":"⫖↰⪸714⋥≓≎⫖↰⪸1A45=⫖↰⪸31A3","layer":1},{"info":"⫖↰⪸31A3⊦⊿=⫖↰⪸-9614","layer":0}]}
+{"id":257,"expression_no_base_symbol":"↽≂(⩦⩻⨪$6573$)","expression":"↽≂(⩦⩻⨪⫖↰⪸3979)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6573,"base":12}}},"used_operators":["u6S6b8DprG","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-7736","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6573","layer":2},{"info":"compute unary expreesion, input=6573, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6573","layer":1},{"info":"compute unary expreesion, input=6573, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-13146","layer":0}],"base":12,"result_base":12,"text":"↽≂(⩦⩻⨪⫖↰⪸3979)=⫖↰⪸-7736","reverse_text":"⫖↰⪸-7736=↽≂(⩦⩻⨪⫖↰⪸3979)","cot":[{"info":"⩦⩻⨪⫖↰⪸3979=⫖↰⪸3979","layer":1},{"info":"↽≂⫖↰⪸3979=⫖↰⪸-7736","layer":0}]}
+{"id":258,"expression_no_base_symbol":"$1025$*$2472$⇼⇔∾$2675$⩚⊴⇥$1956$","expression":"⫖↰⪸715*⫖↰⪸1520⇼⇔∾⫖↰⪸166B⩚⊴⇥⫖↰⪸1170","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1030,"operation_count":3,"complexity_ratio":343.3333333333333,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1025,"base":12},"right_expr":{"type":"numeric_atoms","value":2472,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2675,"base":12},"right_expr":{"type":"numeric_atoms","value":1956,"base":12}}},"used_operators":["tifHPKVTfV","9HNa5Wba9A","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-A250A0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1025","layer":2},{"info":"number node, value=2472","layer":2},{"info":"compute binary expreesion, left_input=1025, right_input=2472, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2533800","layer":1},{"info":"number node, value=2675","layer":2},{"info":"number node, value=1956","layer":2},{"info":"compute binary expreesion, left_input=2675, right_input=1956, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4752","layer":1},{"info":"compute binary expreesion, left_input=2533800, right_input=-4752, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2538552","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸715*⫖↰⪸1520⇼⇔∾⫖↰⪸166B⩚⊴⇥⫖↰⪸1170=⫖↰⪸-A250A0","reverse_text":"⫖↰⪸-A250A0=⫖↰⪸715*⫖↰⪸1520⇼⇔∾⫖↰⪸166B⩚⊴⇥⫖↰⪸1170","cot":[{"info":"⫖↰⪸715*⫖↰⪸1520=⫖↰⪸A223A0","layer":1},{"info":"⫖↰⪸166B⩚⊴⇥⫖↰⪸1170=⫖↰⪸-2900","layer":1},{"info":"⫖↰⪸A223A0⇼⇔∾⫖↰⪸-2900=⫖↰⪸-A250A0","layer":0}]}
+{"id":259,"expression_no_base_symbol":"$6251$∼$1566$⨸⪁($3769$⩤)","expression":"⫖↰⪸374B∼⫖↰⪸AA6⨸⪁(⫖↰⪸2221⩤)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":128,"operation_count":3,"complexity_ratio":42.666666666666664,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6251,"base":12},"right_expr":{"type":"numeric_atoms","value":1566,"base":12}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3769,"base":12}}},"used_operators":["g55IO6H4Gj","DyGG3AbaNP","Z2TMIBDE3Q"],"dependent_operators":["W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6251","layer":2},{"info":"number node, value=1566","layer":2},{"info":"compute binary expreesion, left_input=6251, right_input=1566, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=3769","layer":2},{"info":"compute unary expreesion, input=3769, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3769","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3769, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸374B∼⫖↰⪸AA6⨸⪁(⫖↰⪸2221⩤)=NaN","reverse_text":"NaN=⫖↰⪸374B∼⫖↰⪸AA6⨸⪁(⫖↰⪸2221⩤)","cot":[{"info":"⫖↰⪸374B∼⫖↰⪸AA6=NaN","layer":1},{"info":"⫖↰⪸2221⩤=⫖↰⪸-2221","layer":1},{"info":"NaN⨸⪁⫖↰⪸-2221=NaN","layer":0}]}
+{"id":260,"expression_no_base_symbol":"$1389$⨪↰⇹$2207$⨎$1257$⩚⊴⇥$1225$","expression":"⫖↰⪸979⨪↰⇹⫖↰⪸133B⨎⫖↰⪸889⩚⊴⇥⫖↰⪸861","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1393,"operation_count":3,"complexity_ratio":464.3333333333333,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1389,"base":12},"right_expr":{"type":"numeric_atoms","value":2207,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1257,"base":12},"right_expr":{"type":"numeric_atoms","value":1225,"base":12}}},"used_operators":["rJVOvQCfKK","tmPS8pqC7x","NTOWxs364D"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-160B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1389","layer":2},{"info":"number node, value=2207","layer":2},{"info":"compute binary expreesion, left_input=1389, right_input=2207, 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=1389","layer":1},{"info":"number node, value=1257","layer":2},{"info":"number node, value=1225","layer":2},{"info":"compute binary expreesion, left_input=1257, right_input=1225, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2603","layer":1},{"info":"compute binary expreesion, left_input=1389, right_input=-2603, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-2603","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸979⨪↰⇹⫖↰⪸133B⨎⫖↰⪸889⩚⊴⇥⫖↰⪸861=⫖↰⪸-160B","reverse_text":"⫖↰⪸-160B=⫖↰⪸979⨪↰⇹⫖↰⪸133B⨎⫖↰⪸889⩚⊴⇥⫖↰⪸861","cot":[{"info":"⫖↰⪸979⨪↰⇹⫖↰⪸133B=⫖↰⪸979","layer":1},{"info":"⫖↰⪸889⩚⊴⇥⫖↰⪸861=⫖↰⪸-160B","layer":1},{"info":"⫖↰⪸979⨎⫖↰⪸-160B=⫖↰⪸-160B","layer":0}]}
+{"id":261,"expression_no_base_symbol":"($2437$⇼⇔∾$2725$)⪘⫢(⨰⫟⨤$2621$)","expression":"(⫖↰⪸14B1⇼⇔∾⫖↰⪸16B1)⪘⫢(⨰⫟⨤⫖↰⪸1625)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9655,"operation_count":3,"complexity_ratio":3218.3333333333335,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2437,"base":12},"right_expr":{"type":"numeric_atoms","value":2725,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2621,"base":12}}},"used_operators":["oacrs7FA3X","tifHPKVTfV","Tw270M8GLb"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2437","layer":2},{"info":"number node, value=2725","layer":2},{"info":"compute binary expreesion, left_input=2437, right_input=2725, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=288","layer":1},{"info":"number node, value=2621","layer":2},{"info":"compute unary expreesion, input=2621, 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=288, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸14B1⇼⇔∾⫖↰⪸16B1)⪘⫢(⨰⫟⨤⫖↰⪸1625)=NaN","reverse_text":"NaN=(⫖↰⪸14B1⇼⇔∾⫖↰⪸16B1)⪘⫢(⨰⫟⨤⫖↰⪸1625)","cot":[{"info":"⫖↰⪸14B1⇼⇔∾⫖↰⪸16B1=⫖↰⪸200","layer":1},{"info":"⨰⫟⨤⫖↰⪸1625=NaN","layer":1},{"info":"⫖↰⪸200⪘⫢NaN=NaN","layer":0}]}
+{"id":262,"expression_no_base_symbol":"($8472$↺$1738$)⪘⫢$6100$≹⇙⪍$5236$","expression":"(⫖↰⪸4AA0↺⫖↰⪸100A)⪘⫢⫖↰⪸3644≹⇙⪍⫖↰⪸3044","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":8472,"base":12},"right_expr":{"type":"numeric_atoms","value":1738,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6100,"base":12},"right_expr":{"type":"numeric_atoms","value":5236,"base":12}}},"used_operators":["oacrs7FA3X","7j4O788W3g","AHs5Up7iyr"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=8472","layer":2},{"info":"number node, value=1738","layer":2},{"info":"compute binary expreesion, left_input=8472, right_input=1738, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1738","layer":1},{"info":"number node, value=6100","layer":2},{"info":"number node, value=5236","layer":2},{"info":"compute binary expreesion, left_input=6100, right_input=5236, 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=1738, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸4AA0↺⫖↰⪸100A)⪘⫢⫖↰⪸3644≹⇙⪍⫖↰⪸3044=NaN","reverse_text":"NaN=(⫖↰⪸4AA0↺⫖↰⪸100A)⪘⫢⫖↰⪸3644≹⇙⪍⫖↰⪸3044","cot":[{"info":"⫖↰⪸4AA0↺⫖↰⪸100A=⫖↰⪸100A","layer":1},{"info":"⫖↰⪸3644≹⇙⪍⫖↰⪸3044=NaN","layer":1},{"info":"⫖↰⪸100A⪘⫢NaN=NaN","layer":0}]}
+{"id":263,"expression_no_base_symbol":"(⇁⨣⪵$2959$)⪐","expression":"(⇁⨣⪵⫖↰⪸1867)⪐","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2959,"base":12}}},"used_operators":["eH2TOUuTDT","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2959","layer":2},{"info":"compute unary expreesion, input=2959, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (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":12,"result_base":12,"text":"(⇁⨣⪵⫖↰⪸1867)⪐=NaN","reverse_text":"NaN=(⇁⨣⪵⫖↰⪸1867)⪐","cot":[{"info":"⇁⨣⪵⫖↰⪸1867=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
+{"id":264,"expression_no_base_symbol":"(⊙↵-$6184$)⋷$1370$⨎$4378$","expression":"(⊙↵-⫖↰⪸36B4)⋷⫖↰⪸962⨎⫖↰⪸264A","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6233,"operation_count":3,"complexity_ratio":2077.6666666666665,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":6184,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1370,"base":12},"right_expr":{"type":"numeric_atoms","value":4378,"base":12}}},"used_operators":["23Mk6UjR3U","oWn0xqSxBt","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸2","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6184","layer":2},{"info":"compute unary expreesion, input=6184, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=1370","layer":2},{"info":"number node, value=4378","layer":2},{"info":"compute binary expreesion, left_input=1370, right_input=4378, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4378","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=4378, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2","layer":0}],"base":12,"result_base":12,"text":"(⊙↵-⫖↰⪸36B4)⋷⫖↰⪸962⨎⫖↰⪸264A=⫖↰⪸2","reverse_text":"⫖↰⪸2=(⊙↵-⫖↰⪸36B4)⋷⫖↰⪸962⨎⫖↰⪸264A","cot":[{"info":"⊙↵-⫖↰⪸36B4=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸962⨎⫖↰⪸264A=⫖↰⪸264A","layer":1},{"info":"⫖↰⪸-1⋷⫖↰⪸264A=⫖↰⪸2","layer":0}]}
+{"id":265,"expression_no_base_symbol":"⊥($4427$⪘⫢$2856$)","expression":"⊥(⫖↰⪸268B⪘⫢⫖↰⪸17A0)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4427,"base":12},"right_expr":{"type":"numeric_atoms","value":2856,"base":12}}},"used_operators":["Q3PJZHRvZv","oacrs7FA3X"],"dependent_operators":["fu6greOZ01","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4427","layer":2},{"info":"number node, value=2856","layer":2},{"info":"compute binary expreesion, left_input=4427, right_input=2856, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8730","layer":1},{"info":"compute unary expreesion, input=8730, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊥(⫖↰⪸268B⪘⫢⫖↰⪸17A0)=NaN","reverse_text":"NaN=⊥(⫖↰⪸268B⪘⫢⫖↰⪸17A0)","cot":[{"info":"⫖↰⪸268B⪘⫢⫖↰⪸17A0=⫖↰⪸5076","layer":1},{"info":"⊥⫖↰⪸5076=NaN","layer":0}]}
+{"id":266,"expression_no_base_symbol":"$7800$⨎$2188$*$2254$⪘⫢$5774$","expression":"⫖↰⪸4620⨎⫖↰⪸1324*⫖↰⪸137A⪘⫢⫖↰⪸3412","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2204,"operation_count":3,"complexity_ratio":734.6666666666666,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7800,"base":12},"right_expr":{"type":"numeric_atoms","value":2188,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2254,"base":12},"right_expr":{"type":"numeric_atoms","value":5774,"base":12}}},"used_operators":["9HNa5Wba9A","rJVOvQCfKK","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫖↰⪸3267054","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7800","layer":2},{"info":"number node, value=2188","layer":2},{"info":"compute binary expreesion, left_input=7800, right_input=2188, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2188","layer":1},{"info":"number node, value=2254","layer":2},{"info":"number node, value=5774","layer":2},{"info":"compute binary expreesion, left_input=2254, right_input=5774, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4384","layer":1},{"info":"compute binary expreesion, left_input=2188, right_input=4384, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9592192","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸4620⨎⫖↰⪸1324*⫖↰⪸137A⪘⫢⫖↰⪸3412=⫖↰⪸3267054","reverse_text":"⫖↰⪸3267054=⫖↰⪸4620⨎⫖↰⪸1324*⫖↰⪸137A⪘⫢⫖↰⪸3412","cot":[{"info":"⫖↰⪸4620⨎⫖↰⪸1324=⫖↰⪸1324","layer":1},{"info":"⫖↰⪸137A⪘⫢⫖↰⪸3412=⫖↰⪸2654","layer":1},{"info":"⫖↰⪸1324*⫖↰⪸2654=⫖↰⪸3267054","layer":0}]}
+{"id":267,"expression_no_base_symbol":"($5910$⋳⪒$7398$)∑⇟⊟($6142$-$1868$)","expression":"(⫖↰⪸3506⋳⪒⫖↰⪸4346)∑⇟⊟(⫖↰⪸367A-⫖↰⪸10B8)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5910,"base":12},"right_expr":{"type":"numeric_atoms","value":7398,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6142,"base":12},"right_expr":{"type":"numeric_atoms","value":1868,"base":12}}},"used_operators":["U7g4x0WXJJ","12rbrZMWeM","rysDP5nf3Z"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5910","layer":2},{"info":"number node, value=7398","layer":2},{"info":"compute binary expreesion, left_input=5910, right_input=7398, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4135","layer":1},{"info":"number node, value=6142","layer":2},{"info":"number node, value=1868","layer":2},{"info":"compute binary expreesion, left_input=6142, right_input=1868, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4274","layer":1},{"info":"compute binary expreesion, left_input=4135, right_input=4274, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3506⋳⪒⫖↰⪸4346)∑⇟⊟(⫖↰⪸367A-⫖↰⪸10B8)=NaN","reverse_text":"NaN=(⫖↰⪸3506⋳⪒⫖↰⪸4346)∑⇟⊟(⫖↰⪸367A-⫖↰⪸10B8)","cot":[{"info":"⫖↰⪸3506⋳⪒⫖↰⪸4346=⫖↰⪸2487","layer":1},{"info":"⫖↰⪸367A-⫖↰⪸10B8=⫖↰⪸2582","layer":1},{"info":"⫖↰⪸2487∑⇟⊟⫖↰⪸2582=NaN","layer":0}]}
+{"id":268,"expression_no_base_symbol":"($4988$⩨$1238$)≧⫂∧($1013$⨽$6379$)","expression":"(⫖↰⪸2A78⩨⫖↰⪸872)≧⫂∧(⫖↰⪸705⨽⫖↰⪸3837)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1028,"operation_count":3,"complexity_ratio":342.6666666666667,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4988,"base":12},"right_expr":{"type":"numeric_atoms","value":1238,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1013,"base":12},"right_expr":{"type":"numeric_atoms","value":6379,"base":12}}},"used_operators":["Ph9nP6C5qx","2DlMacCsIx","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫖↰⪸1053A36","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4988","layer":2},{"info":"number node, value=1238","layer":2},{"info":"compute binary expreesion, left_input=4988, right_input=1238, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=1013","layer":2},{"info":"number node, value=6379","layer":2},{"info":"compute binary expreesion, left_input=1013, right_input=6379, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3096330","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3096330, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3096330","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2A78⩨⫖↰⪸872)≧⫂∧(⫖↰⪸705⨽⫖↰⪸3837)=⫖↰⪸1053A36","reverse_text":"⫖↰⪸1053A36=(⫖↰⪸2A78⩨⫖↰⪸872)≧⫂∧(⫖↰⪸705⨽⫖↰⪸3837)","cot":[{"info":"⫖↰⪸2A78⩨⫖↰⪸872=⫖↰⪸0","layer":1},{"info":"⫖↰⪸705⨽⫖↰⪸3837=⫖↰⪸-1053A36","layer":1},{"info":"⫖↰⪸0≧⫂∧⫖↰⪸-1053A36=⫖↰⪸1053A36","layer":0}]}
+{"id":269,"expression_no_base_symbol":"$1499$↬$2139$⪄(⫓⪴$1561$)","expression":"⫖↰⪸A4B↬⫖↰⪸12A3⪄(⫓⪴⫖↰⪸AA1)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1584,"operation_count":3,"complexity_ratio":528.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1499,"base":12},"right_expr":{"type":"numeric_atoms","value":2139,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1561,"base":12}}},"used_operators":["SUmda5xLS4","B5M0gjZbta","eLxqMNBOBk"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","9HNa5Wba9A"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1499","layer":2},{"info":"number node, value=2139","layer":2},{"info":"compute binary expreesion, left_input=1499, right_input=2139, 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=1561","layer":2},{"info":"compute unary expreesion, input=1561, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2436721","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2436721, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸A4B↬⫖↰⪸12A3⪄(⫓⪴⫖↰⪸AA1)=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=⫖↰⪸A4B↬⫖↰⪸12A3⪄(⫓⪴⫖↰⪸AA1)","cot":[{"info":"⫖↰⪸A4B↬⫖↰⪸12A3=NaN","layer":1},{"info":"⫓⪴⫖↰⪸AA1=⫖↰⪸996181","layer":1},{"info":"NaN⪄⫖↰⪸996181=⫖↰⪸2377","layer":0}]}
+{"id":270,"expression_no_base_symbol":"$3482$⪛$9503$↪⪝","expression":"⫖↰⪸2022⪛⫖↰⪸55BB↪⪝","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":704,"operation_count":2,"complexity_ratio":352.0,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3482,"base":12},"right_expr":{"type":"numeric_atoms","value":9503,"base":12}}},"used_operators":["l07mrZUIn9","uFcxV4UQCh"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫖↰⪸5B418690","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3482","layer":2},{"info":"number node, value=9503","layer":2},{"info":"compute binary expreesion, left_input=3482, right_input=9503, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3482","layer":1},{"info":"compute unary expreesion, input=3482, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=213035724","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2022⪛⫖↰⪸55BB↪⪝=⫖↰⪸5B418690","reverse_text":"⫖↰⪸5B418690=⫖↰⪸2022⪛⫖↰⪸55BB↪⪝","cot":[{"info":"⫖↰⪸2022⪛⫖↰⪸55BB=⫖↰⪸2022","layer":1},{"info":"⫖↰⪸2022↪⪝=⫖↰⪸5B418690","layer":0}]}
+{"id":271,"expression_no_base_symbol":"$4900$⩷∴$8912$⋥≓≎($8727$⪒$1505$)","expression":"⫖↰⪸2A04⩷∴⫖↰⪸51A8⋥≓≎(⫖↰⪸5073⪒⫖↰⪸A55)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4900,"base":12},"right_expr":{"type":"numeric_atoms","value":8912,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":8727,"base":12},"right_expr":{"type":"numeric_atoms","value":1505,"base":12}}},"used_operators":["Qy55tPpLXF","9FxExcQeMw","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4900","layer":2},{"info":"number node, value=8912","layer":2},{"info":"compute binary expreesion, left_input=4900, right_input=8912, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-8056","layer":1},{"info":"number node, value=8727","layer":2},{"info":"number node, value=1505","layer":2},{"info":"compute binary expreesion, left_input=8727, right_input=1505, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10232","layer":1},{"info":"compute binary expreesion, left_input=-8056, right_input=-10232, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2A04⩷∴⫖↰⪸51A8⋥≓≎(⫖↰⪸5073⪒⫖↰⪸A55)=⫖↰⪸57","reverse_text":"⫖↰⪸57=⫖↰⪸2A04⩷∴⫖↰⪸51A8⋥≓≎(⫖↰⪸5073⪒⫖↰⪸A55)","cot":[{"info":"⫖↰⪸2A04⩷∴⫖↰⪸51A8=⫖↰⪸-47B4","layer":1},{"info":"⫖↰⪸5073⪒⫖↰⪸A55=⫖↰⪸-5B08","layer":1},{"info":"⫖↰⪸-47B4⋥≓≎⫖↰⪸-5B08=⫖↰⪸57","layer":0}]}
+{"id":272,"expression_no_base_symbol":"$3527$⋳⪒$1599$*($1038$+$2521$)","expression":"⫖↰⪸205B⋳⪒⫖↰⪸B13*(⫖↰⪸726+⫖↰⪸1561)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3567,"operation_count":3,"complexity_ratio":1189.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3527,"base":12},"right_expr":{"type":"numeric_atoms","value":1599,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1038,"base":12},"right_expr":{"type":"numeric_atoms","value":2521,"base":12}}},"used_operators":["9HNa5Wba9A","12rbrZMWeM","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸61B0068","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3527","layer":2},{"info":"number node, value=1599","layer":2},{"info":"compute binary expreesion, left_input=3527, right_input=1599, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5168","layer":1},{"info":"number node, value=1038","layer":2},{"info":"number node, value=2521","layer":2},{"info":"compute binary expreesion, left_input=1038, right_input=2521, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3559","layer":1},{"info":"compute binary expreesion, left_input=5168, right_input=3559, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=18392912","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸205B⋳⪒⫖↰⪸B13*(⫖↰⪸726+⫖↰⪸1561)=⫖↰⪸61B0068","reverse_text":"⫖↰⪸61B0068=⫖↰⪸205B⋳⪒⫖↰⪸B13*(⫖↰⪸726+⫖↰⪸1561)","cot":[{"info":"⫖↰⪸205B⋳⪒⫖↰⪸B13=⫖↰⪸2BA8","layer":1},{"info":"⫖↰⪸726+⫖↰⪸1561=⫖↰⪸2087","layer":1},{"info":"⫖↰⪸2BA8*⫖↰⪸2087=⫖↰⪸61B0068","layer":0}]}
+{"id":273,"expression_no_base_symbol":"($3054$/$8083$)⇼⇔∾(∂$1587$)","expression":"(⫖↰⪸1926/⫖↰⪸4817)⇼⇔∾(∂⫖↰⪸B03)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3054,"base":12},"right_expr":{"type":"numeric_atoms","value":8083,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1587,"base":12}}},"used_operators":["tifHPKVTfV","XhwjNDsVaA","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3054","layer":2},{"info":"number node, value=8083","layer":2},{"info":"compute binary expreesion, left_input=3054, right_input=8083, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1587","layer":2},{"info":"compute unary expreesion, input=1587, 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=0, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1926/⫖↰⪸4817)⇼⇔∾(∂⫖↰⪸B03)=NaN","reverse_text":"NaN=(⫖↰⪸1926/⫖↰⪸4817)⇼⇔∾(∂⫖↰⪸B03)","cot":[{"info":"⫖↰⪸1926/⫖↰⪸4817=⫖↰⪸0","layer":1},{"info":"∂⫖↰⪸B03=NaN","layer":1},{"info":"⫖↰⪸0⇼⇔∾NaN=NaN","layer":0}]}
+{"id":274,"expression_no_base_symbol":"($1261$⪒$1897$)⨽$1374$∼$2887$","expression":"(⫖↰⪸891⪒⫖↰⪸1121)⨽⫖↰⪸966∼⫖↰⪸1807","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3198,"operation_count":3,"complexity_ratio":1066.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1261,"base":12},"right_expr":{"type":"numeric_atoms","value":1897,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1374,"base":12},"right_expr":{"type":"numeric_atoms","value":2887,"base":12}}},"used_operators":["8HhzD0ZcuI","f6k1SAg4EE","DyGG3AbaNP"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1261","layer":2},{"info":"number node, value=1897","layer":2},{"info":"compute binary expreesion, left_input=1261, right_input=1897, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3158","layer":1},{"info":"number node, value=1374","layer":2},{"info":"number node, value=2887","layer":2},{"info":"compute binary expreesion, left_input=1374, right_input=2887, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3158, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸891⪒⫖↰⪸1121)⨽⫖↰⪸966∼⫖↰⪸1807=NaN","reverse_text":"NaN=(⫖↰⪸891⪒⫖↰⪸1121)⨽⫖↰⪸966∼⫖↰⪸1807","cot":[{"info":"⫖↰⪸891⪒⫖↰⪸1121=⫖↰⪸-19B2","layer":1},{"info":"⫖↰⪸966∼⫖↰⪸1807=NaN","layer":1},{"info":"⫖↰⪸-19B2⨽NaN=NaN","layer":0}]}
+{"id":275,"expression_no_base_symbol":"($1385$/$5509$)∀⇚≩($3446$≧⫂∧$4540$)","expression":"(⫖↰⪸975/⫖↰⪸3231)∀⇚≩(⫖↰⪸1BB2≧⫂∧⫖↰⪸2764)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1385,"base":12},"right_expr":{"type":"numeric_atoms","value":5509,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3446,"base":12},"right_expr":{"type":"numeric_atoms","value":4540,"base":12}}},"used_operators":["LRNGc0VcxI","XhwjNDsVaA","Ph9nP6C5qx"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸242B","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1385","layer":2},{"info":"number node, value=5509","layer":2},{"info":"compute binary expreesion, left_input=1385, right_input=5509, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=3446","layer":2},{"info":"number node, value=4540","layer":2},{"info":"compute binary expreesion, left_input=3446, right_input=4540, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4067","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=4067, 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=4067","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸975/⫖↰⪸3231)∀⇚≩(⫖↰⪸1BB2≧⫂∧⫖↰⪸2764)=⫖↰⪸242B","reverse_text":"⫖↰⪸242B=(⫖↰⪸975/⫖↰⪸3231)∀⇚≩(⫖↰⪸1BB2≧⫂∧⫖↰⪸2764)","cot":[{"info":"⫖↰⪸975/⫖↰⪸3231=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1BB2≧⫂∧⫖↰⪸2764=⫖↰⪸242B","layer":1},{"info":"⫖↰⪸0∀⇚≩⫖↰⪸242B=⫖↰⪸242B","layer":0}]}
+{"id":276,"expression_no_base_symbol":"≉(⋗⩬⋾$7825$)","expression":"≉(⋗⩬⋾⫖↰⪸4641)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":7825,"base":12}}},"used_operators":["e1ybzncUwg","DpFCA1CohY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-11703","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7825","layer":2},{"info":"compute unary expreesion, input=7825, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-23475","layer":1},{"info":"compute unary expreesion, input=-23475, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-23475","layer":0}],"base":12,"result_base":12,"text":"≉(⋗⩬⋾⫖↰⪸4641)=⫖↰⪸-11703","reverse_text":"⫖↰⪸-11703=≉(⋗⩬⋾⫖↰⪸4641)","cot":[{"info":"⋗⩬⋾⫖↰⪸4641=⫖↰⪸-11703","layer":1},{"info":"≉⫖↰⪸-11703=⫖↰⪸-11703","layer":0}]}
+{"id":277,"expression_no_base_symbol":"$6904$⪛$2989$⨓($1023$≭$4659$)","expression":"⫖↰⪸3BB4⪛⫖↰⪸1891⨓(⫖↰⪸713≭⫖↰⪸2843)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6904,"base":12},"right_expr":{"type":"numeric_atoms","value":2989,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1023,"base":12},"right_expr":{"type":"numeric_atoms","value":4659,"base":12}}},"used_operators":["3ViojmjbAp","uFcxV4UQCh","rxpJgHHUmx"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6904","layer":2},{"info":"number node, value=2989","layer":2},{"info":"compute binary expreesion, left_input=6904, right_input=2989, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=926","layer":1},{"info":"number node, value=1023","layer":2},{"info":"number node, value=4659","layer":2},{"info":"compute binary expreesion, left_input=1023, right_input=4659, 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=926, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3BB4⪛⫖↰⪸1891⨓(⫖↰⪸713≭⫖↰⪸2843)=NaN","reverse_text":"NaN=⫖↰⪸3BB4⪛⫖↰⪸1891⨓(⫖↰⪸713≭⫖↰⪸2843)","cot":[{"info":"⫖↰⪸3BB4⪛⫖↰⪸1891=⫖↰⪸652","layer":1},{"info":"⫖↰⪸713≭⫖↰⪸2843=NaN","layer":1},{"info":"⫖↰⪸652⨓NaN=NaN","layer":0}]}
+{"id":278,"expression_no_base_symbol":"$1330$⨐⩸⫘$2662$⋷$3031$⨓$1145$","expression":"⫖↰⪸92A⨐⩸⫘⫖↰⪸165A⋷⫖↰⪸1907⨓⫖↰⪸7B5","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1154,"operation_count":3,"complexity_ratio":384.6666666666667,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1330,"base":12},"right_expr":{"type":"numeric_atoms","value":2662,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3031,"base":12},"right_expr":{"type":"numeric_atoms","value":1145,"base":12}}},"used_operators":["23Mk6UjR3U","fu6greOZ01","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1330","layer":2},{"info":"number node, value=2662","layer":2},{"info":"compute binary expreesion, left_input=1330, right_input=2662, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=3031","layer":2},{"info":"number node, value=1145","layer":2},{"info":"compute binary expreesion, left_input=3031, right_input=1145, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1148","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1148, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸92A⨐⩸⫘⫖↰⪸165A⋷⫖↰⪸1907⨓⫖↰⪸7B5=NaN","reverse_text":"NaN=⫖↰⪸92A⨐⩸⫘⫖↰⪸165A⋷⫖↰⪸1907⨓⫖↰⪸7B5","cot":[{"info":"⫖↰⪸92A⨐⩸⫘⫖↰⪸165A=NaN","layer":1},{"info":"⫖↰⪸1907⨓⫖↰⪸7B5=⫖↰⪸-7B8","layer":1},{"info":"NaN⋷⫖↰⪸-7B8=NaN","layer":0}]}
+{"id":279,"expression_no_base_symbol":"$4293$≎⊠⪸$3483$⫥∨⫟$1906$⪘⫢$1289$","expression":"⫖↰⪸2599≎⊠⪸⫖↰⪸2023⫥∨⫟⫖↰⪸112A⪘⫢⫖↰⪸8B5","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":439,"operation_count":3,"complexity_ratio":146.33333333333334,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4293,"base":12},"right_expr":{"type":"numeric_atoms","value":3483,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1906,"base":12},"right_expr":{"type":"numeric_atoms","value":1289,"base":12}}},"used_operators":["KYD54nUTWz","bJkvcejdHO","oacrs7FA3X"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4293","layer":2},{"info":"number node, value=3483","layer":2},{"info":"compute binary expreesion, left_input=4293, right_input=3483, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1111414","layer":1},{"info":"number node, value=1906","layer":2},{"info":"number node, value=1289","layer":2},{"info":"compute binary expreesion, left_input=1906, right_input=1289, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3688","layer":1},{"info":"compute binary expreesion, left_input=1111414, right_input=3688, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2599≎⊠⪸⫖↰⪸2023⫥∨⫟⫖↰⪸112A⪘⫢⫖↰⪸8B5=NaN","reverse_text":"NaN=⫖↰⪸2599≎⊠⪸⫖↰⪸2023⫥∨⫟⫖↰⪸112A⪘⫢⫖↰⪸8B5","cot":[{"info":"⫖↰⪸2599≎⊠⪸⫖↰⪸2023=⫖↰⪸45721A","layer":1},{"info":"⫖↰⪸112A⪘⫢⫖↰⪸8B5=⫖↰⪸2174","layer":1},{"info":"⫖↰⪸45721A⫥∨⫟⫖↰⪸2174=NaN","layer":0}]}
+{"id":280,"expression_no_base_symbol":"($6135$+$6310$)⨳⩥⨓($3792$⊭∹↮)","expression":"(⫖↰⪸3673+⫖↰⪸379A)⨳⩥⨓(⫖↰⪸2240⊭∹↮)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6135,"base":12},"right_expr":{"type":"numeric_atoms","value":6310,"base":12}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3792,"base":12}}},"used_operators":["nCS4ZIUYfx","W4YGzv6Whe","xNBdhnnwKq"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸-2991","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6135","layer":2},{"info":"number node, value=6310","layer":2},{"info":"compute binary expreesion, left_input=6135, right_input=6310, op_id = W4YGzv6Whe binary_op_definition= 'None', output=12445","layer":1},{"info":"number node, value=3792","layer":2},{"info":"compute unary expreesion, input=3792, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=7584","layer":1},{"info":"compute binary expreesion, left_input=12445, right_input=7584, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4861","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3673+⫖↰⪸379A)⨳⩥⨓(⫖↰⪸2240⊭∹↮)=⫖↰⪸-2991","reverse_text":"⫖↰⪸-2991=(⫖↰⪸3673+⫖↰⪸379A)⨳⩥⨓(⫖↰⪸2240⊭∹↮)","cot":[{"info":"⫖↰⪸3673+⫖↰⪸379A=⫖↰⪸7251","layer":1},{"info":"⫖↰⪸2240⊭∹↮=⫖↰⪸4480","layer":1},{"info":"⫖↰⪸7251⨳⩥⨓⫖↰⪸4480=⫖↰⪸-2991","layer":0}]}
+{"id":281,"expression_no_base_symbol":"↩$2191$≎⊠⪸$2289$","expression":"↩⫖↰⪸1327≎⊠⪸⫖↰⪸13A9","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":286,"operation_count":2,"complexity_ratio":143.0,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2191,"base":12},"right_expr":{"type":"numeric_atoms","value":2289,"base":12}}},"used_operators":["jLgFTUHLKL","bJkvcejdHO"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫖↰⪸-1627458","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2191","layer":2},{"info":"number node, value=2289","layer":2},{"info":"compute binary expreesion, left_input=2191, right_input=2289, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=566996","layer":1},{"info":"compute unary expreesion, input=566996, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-4533188","layer":0}],"base":12,"result_base":12,"text":"↩⫖↰⪸1327≎⊠⪸⫖↰⪸13A9=⫖↰⪸-1627458","reverse_text":"⫖↰⪸-1627458=↩⫖↰⪸1327≎⊠⪸⫖↰⪸13A9","cot":[{"info":"⫖↰⪸1327≎⊠⪸⫖↰⪸13A9=⫖↰⪸234158","layer":1},{"info":"↩⫖↰⪸234158=⫖↰⪸-1627458","layer":0}]}
+{"id":282,"expression_no_base_symbol":"($1472$⩤)≧⫂∧(∥⊫$1539$)","expression":"(⫖↰⪸A28⩤)≧⫂∧(∥⊫⫖↰⪸A83)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1472,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1539,"base":12}}},"used_operators":["Ph9nP6C5qx","Z2TMIBDE3Q","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸1152","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1472","layer":2},{"info":"compute unary expreesion, input=1472, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1472","layer":1},{"info":"number node, value=1539","layer":2},{"info":"compute unary expreesion, input=1539, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2407","layer":1},{"info":"compute binary expreesion, left_input=-1472, right_input=2407, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1934","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A28⩤)≧⫂∧(∥⊫⫖↰⪸A83)=⫖↰⪸1152","reverse_text":"⫖↰⪸1152=(⫖↰⪸A28⩤)≧⫂∧(∥⊫⫖↰⪸A83)","cot":[{"info":"⫖↰⪸A28⩤=⫖↰⪸-A28","layer":1},{"info":"∥⊫⫖↰⪸A83=⫖↰⪸1487","layer":1},{"info":"⫖↰⪸-A28≧⫂∧⫖↰⪸1487=⫖↰⪸1152","layer":0}]}
+{"id":283,"expression_no_base_symbol":"($3947$+$5435$)⋝⋈⪟(↣≠⋷$2434$)","expression":"(⫖↰⪸234B+⫖↰⪸318B)⋝⋈⪟(↣≠⋷⫖↰⪸14AA)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3947,"base":12},"right_expr":{"type":"numeric_atoms","value":5435,"base":12}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2434,"base":12}}},"used_operators":["2DDjHMKMc0","W4YGzv6Whe","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3947","layer":2},{"info":"number node, value=5435","layer":2},{"info":"compute binary expreesion, left_input=3947, right_input=5435, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9382","layer":1},{"info":"number node, value=2434","layer":2},{"info":"compute unary expreesion, input=2434, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9382, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸234B+⫖↰⪸318B)⋝⋈⪟(↣≠⋷⫖↰⪸14AA)=NaN","reverse_text":"NaN=(⫖↰⪸234B+⫖↰⪸318B)⋝⋈⪟(↣≠⋷⫖↰⪸14AA)","cot":[{"info":"⫖↰⪸234B+⫖↰⪸318B=⫖↰⪸551A","layer":1},{"info":"↣≠⋷⫖↰⪸14AA=NaN","layer":1},{"info":"⫖↰⪸551A⋝⋈⪟NaN=NaN","layer":0}]}
+{"id":284,"expression_no_base_symbol":"$3133$⨪↰⇹$5116$⋝⋈⪟(⊄⩳↩$5597$)","expression":"⫖↰⪸1991⨪↰⇹⫖↰⪸2B64⋝⋈⪟(⊄⩳↩⫖↰⪸32A5)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3139,"operation_count":3,"complexity_ratio":1046.3333333333333,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3133,"base":12},"right_expr":{"type":"numeric_atoms","value":5116,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5597,"base":12}}},"used_operators":["2DDjHMKMc0","tmPS8pqC7x","8w2t5hMYqp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸1991","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3133","layer":2},{"info":"number node, value=5116","layer":2},{"info":"compute binary expreesion, left_input=3133, right_input=5116, 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=3133","layer":1},{"info":"number node, value=5597","layer":2},{"info":"compute unary expreesion, input=5597, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-16791","layer":1},{"info":"compute binary expreesion, left_input=3133, right_input=-16791, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3133","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1991⨪↰⇹⫖↰⪸2B64⋝⋈⪟(⊄⩳↩⫖↰⪸32A5)=⫖↰⪸1991","reverse_text":"⫖↰⪸1991=⫖↰⪸1991⨪↰⇹⫖↰⪸2B64⋝⋈⪟(⊄⩳↩⫖↰⪸32A5)","cot":[{"info":"⫖↰⪸1991⨪↰⇹⫖↰⪸2B64=⫖↰⪸1991","layer":1},{"info":"⊄⩳↩⫖↰⪸32A5=⫖↰⪸-9873","layer":1},{"info":"⫖↰⪸1991⋝⋈⪟⫖↰⪸-9873=⫖↰⪸1991","layer":0}]}
+{"id":285,"expression_no_base_symbol":"∂$2528$⨪↰⇹$7034$","expression":"∂⫖↰⪸1568⨪↰⇹⫖↰⪸40A2","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":2529,"operation_count":2,"complexity_ratio":1264.5,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2528,"base":12},"right_expr":{"type":"numeric_atoms","value":7034,"base":12}}},"used_operators":["Uaa54Peajs","tmPS8pqC7x"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2528","layer":2},{"info":"number node, value=7034","layer":2},{"info":"compute binary expreesion, left_input=2528, right_input=7034, 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=2528","layer":1},{"info":"compute unary expreesion, input=2528, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∂⫖↰⪸1568⨪↰⇹⫖↰⪸40A2=NaN","reverse_text":"NaN=∂⫖↰⪸1568⨪↰⇹⫖↰⪸40A2","cot":[{"info":"⫖↰⪸1568⨪↰⇹⫖↰⪸40A2=⫖↰⪸1568","layer":1},{"info":"∂⫖↰⪸1568=NaN","layer":0}]}
+{"id":286,"expression_no_base_symbol":"($2549$⊉≛↸$7009$)⊪","expression":"(⫖↰⪸1585⊉≛↸⫖↰⪸4081)⊪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":35,"operation_count":2,"complexity_ratio":17.5,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2549,"base":12},"right_expr":{"type":"numeric_atoms","value":7009,"base":12}}},"used_operators":["zVYPLywUTj","DZ8iAZOCBD"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2549","layer":2},{"info":"number node, value=7009","layer":2},{"info":"compute binary expreesion, left_input=2549, right_input=7009, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5098","layer":1},{"info":"compute unary expreesion, input=5098, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1585⊉≛↸⫖↰⪸4081)⊪=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸1585⊉≛↸⫖↰⪸4081)⊪","cot":[{"info":"⫖↰⪸1585⊉≛↸⫖↰⪸4081=⫖↰⪸2B4A","layer":1},{"info":"⫖↰⪸2B4A⊪=⫖↰⪸0","layer":0}]}
+{"id":287,"expression_no_base_symbol":"($2926$⫡⨏$1990$)%(⇁⨣⪵$1124$)","expression":"(⫖↰⪸183A⫡⨏⫖↰⪸119A)%(⇁⨣⪵⫖↰⪸798)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2926,"base":12},"right_expr":{"type":"numeric_atoms","value":1990,"base":12}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1124,"base":12}}},"used_operators":["k8jYdgA6NY","QMFrweE19q","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2926","layer":2},{"info":"number node, value=1990","layer":2},{"info":"compute binary expreesion, left_input=2926, right_input=1990, 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=19393","layer":1},{"info":"number node, value=1124","layer":2},{"info":"compute unary expreesion, input=1124, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=19393, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸183A⫡⨏⫖↰⪸119A)%(⇁⨣⪵⫖↰⪸798)=NaN","reverse_text":"NaN=(⫖↰⪸183A⫡⨏⫖↰⪸119A)%(⇁⨣⪵⫖↰⪸798)","cot":[{"info":"⫖↰⪸183A⫡⨏⫖↰⪸119A=⫖↰⪸B281","layer":1},{"info":"⇁⨣⪵⫖↰⪸798=NaN","layer":1},{"info":"⫖↰⪸B281%NaN=NaN","layer":0}]}
+{"id":288,"expression_no_base_symbol":"⪝⪂⫅($3681$*$2054$)","expression":"⪝⪂⫅(⫖↰⪸2169*⫖↰⪸1232)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2204,"operation_count":2,"complexity_ratio":1102.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3681,"base":12},"right_expr":{"type":"numeric_atoms","value":2054,"base":12}}},"used_operators":["XTarYq4gQB","9HNa5Wba9A"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe"],"result":"⫖↰⪸-270272A16","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3681","layer":2},{"info":"number node, value=2054","layer":2},{"info":"compute binary expreesion, left_input=3681, right_input=2054, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7560774","layer":1},{"info":"compute unary expreesion, input=7560774, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1111433778","layer":0}],"base":12,"result_base":12,"text":"⪝⪂⫅(⫖↰⪸2169*⫖↰⪸1232)=⫖↰⪸-270272A16","reverse_text":"⫖↰⪸-270272A16=⪝⪂⫅(⫖↰⪸2169*⫖↰⪸1232)","cot":[{"info":"⫖↰⪸2169*⫖↰⪸1232=⫖↰⪸2647546","layer":1},{"info":"⪝⪂⫅⫖↰⪸2647546=⫖↰⪸-270272A16","layer":0}]}
+{"id":289,"expression_no_base_symbol":"$1024$≧⫂∧$1372$⩚⊴⇥(⊄⩳↩$6781$)","expression":"⫖↰⪸714≧⫂∧⫖↰⪸964⩚⊴⇥(⊄⩳↩⫖↰⪸3B11)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1024,"base":12},"right_expr":{"type":"numeric_atoms","value":1372,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6781,"base":12}}},"used_operators":["NTOWxs364D","Ph9nP6C5qx","8w2t5hMYqp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸B223","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1024","layer":2},{"info":"number node, value=1372","layer":2},{"info":"compute binary expreesion, left_input=1024, right_input=1372, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=899","layer":1},{"info":"number node, value=6781","layer":2},{"info":"compute unary expreesion, input=6781, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-20343","layer":1},{"info":"compute binary expreesion, left_input=899, right_input=-20343, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=19323","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸714≧⫂∧⫖↰⪸964⩚⊴⇥(⊄⩳↩⫖↰⪸3B11)=⫖↰⪸B223","reverse_text":"⫖↰⪸B223=⫖↰⪸714≧⫂∧⫖↰⪸964⩚⊴⇥(⊄⩳↩⫖↰⪸3B11)","cot":[{"info":"⫖↰⪸714≧⫂∧⫖↰⪸964=⫖↰⪸62B","layer":1},{"info":"⊄⩳↩⫖↰⪸3B11=⫖↰⪸-B933","layer":1},{"info":"⫖↰⪸62B⩚⊴⇥⫖↰⪸-B933=⫖↰⪸B223","layer":0}]}
+{"id":290,"expression_no_base_symbol":"(↽≂$3348$)⇼⇔∾$2664$∑⇟⊟$8967$","expression":"(↽≂⫖↰⪸1B30)⇼⇔∾⫖↰⪸1660∑⇟⊟⫖↰⪸5233","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3348,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2664,"base":12},"right_expr":{"type":"numeric_atoms","value":8967,"base":12}}},"used_operators":["tifHPKVTfV","u6S6b8DprG","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3348","layer":2},{"info":"compute unary expreesion, input=3348, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6696","layer":1},{"info":"number node, value=2664","layer":2},{"info":"number node, value=8967","layer":2},{"info":"compute binary expreesion, left_input=2664, right_input=8967, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6696, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↽≂⫖↰⪸1B30)⇼⇔∾⫖↰⪸1660∑⇟⊟⫖↰⪸5233=NaN","reverse_text":"NaN=(↽≂⫖↰⪸1B30)⇼⇔∾⫖↰⪸1660∑⇟⊟⫖↰⪸5233","cot":[{"info":"↽≂⫖↰⪸1B30=⫖↰⪸-3A60","layer":1},{"info":"⫖↰⪸1660∑⇟⊟⫖↰⪸5233=NaN","layer":1},{"info":"⫖↰⪸-3A60⇼⇔∾NaN=NaN","layer":0}]}
+{"id":291,"expression_no_base_symbol":"$3954$∼$1132$⩷∴$1189$⪢$6290$","expression":"⫖↰⪸2356∼⫖↰⪸7A4⩷∴⫖↰⪸831⪢⫖↰⪸3782","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6375,"operation_count":3,"complexity_ratio":2125.0,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3954,"base":12},"right_expr":{"type":"numeric_atoms","value":1132,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1189,"base":12},"right_expr":{"type":"numeric_atoms","value":6290,"base":12}}},"used_operators":["9FxExcQeMw","DyGG3AbaNP","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3954","layer":2},{"info":"number node, value=1132","layer":2},{"info":"compute binary expreesion, left_input=3954, right_input=1132, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=1189","layer":2},{"info":"number node, value=6290","layer":2},{"info":"compute binary expreesion, left_input=1189, right_input=6290, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2356∼⫖↰⪸7A4⩷∴⫖↰⪸831⪢⫖↰⪸3782=NaN","reverse_text":"NaN=⫖↰⪸2356∼⫖↰⪸7A4⩷∴⫖↰⪸831⪢⫖↰⪸3782","cot":[{"info":"⫖↰⪸2356∼⫖↰⪸7A4=NaN","layer":1},{"info":"⫖↰⪸831⪢⫖↰⪸3782=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
+{"id":292,"expression_no_base_symbol":"($1038$⊭∹↮)≹⇙⪍($4634$⋷$2820$)","expression":"(⫖↰⪸726⊭∹↮)≹⇙⪍(⫖↰⪸2822⋷⫖↰⪸1770)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1038,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4634,"base":12},"right_expr":{"type":"numeric_atoms","value":2820,"base":12}}},"used_operators":["AHs5Up7iyr","xNBdhnnwKq","23Mk6UjR3U"],"dependent_operators":["dWAJyo7jo9","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1038","layer":2},{"info":"compute unary expreesion, input=1038, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2076","layer":1},{"info":"number node, value=4634","layer":2},{"info":"number node, value=2820","layer":2},{"info":"compute binary expreesion, left_input=4634, right_input=2820, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1006","layer":1},{"info":"compute binary expreesion, left_input=2076, right_input=1006, 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":12,"result_base":12,"text":"(⫖↰⪸726⊭∹↮)≹⇙⪍(⫖↰⪸2822⋷⫖↰⪸1770)=NaN","reverse_text":"NaN=(⫖↰⪸726⊭∹↮)≹⇙⪍(⫖↰⪸2822⋷⫖↰⪸1770)","cot":[{"info":"⫖↰⪸726⊭∹↮=⫖↰⪸1250","layer":1},{"info":"⫖↰⪸2822⋷⫖↰⪸1770=⫖↰⪸6BA","layer":1},{"info":"⫖↰⪸1250≹⇙⪍⫖↰⪸6BA=NaN","layer":0}]}
+{"id":293,"expression_no_base_symbol":"($2503$-$4714$)+⇶⊼($1068$⊉≛↸$2037$)","expression":"(⫖↰⪸1547-⫖↰⪸288A)+⇶⊼(⫖↰⪸750⊉≛↸⫖↰⪸1219)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2503,"base":12},"right_expr":{"type":"numeric_atoms","value":4714,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1068,"base":12},"right_expr":{"type":"numeric_atoms","value":2037,"base":12}}},"used_operators":["TpPTUOHfaN","rysDP5nf3Z","DZ8iAZOCBD"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2503","layer":2},{"info":"number node, value=4714","layer":2},{"info":"compute binary expreesion, left_input=2503, right_input=4714, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2211","layer":1},{"info":"number node, value=1068","layer":2},{"info":"number node, value=2037","layer":2},{"info":"compute binary expreesion, left_input=1068, right_input=2037, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2136","layer":1},{"info":"compute binary expreesion, left_input=-2211, right_input=2136, 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":12,"result_base":12,"text":"(⫖↰⪸1547-⫖↰⪸288A)+⇶⊼(⫖↰⪸750⊉≛↸⫖↰⪸1219)=NaN","reverse_text":"NaN=(⫖↰⪸1547-⫖↰⪸288A)+⇶⊼(⫖↰⪸750⊉≛↸⫖↰⪸1219)","cot":[{"info":"⫖↰⪸1547-⫖↰⪸288A=⫖↰⪸-1343","layer":1},{"info":"⫖↰⪸750⊉≛↸⫖↰⪸1219=⫖↰⪸12A0","layer":1},{"info":"⫖↰⪸-1343+⇶⊼⫖↰⪸12A0=NaN","layer":0}]}
+{"id":294,"expression_no_base_symbol":"($3300$⨵⪆$2020$)⊦⊿","expression":"(⫖↰⪸1AB0⨵⪆⫖↰⪸1204)⊦⊿","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3300,"base":12},"right_expr":{"type":"numeric_atoms","value":2020,"base":12}}},"used_operators":["14qkJME0vr","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-3A7","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3300","layer":2},{"info":"number node, value=2020","layer":2},{"info":"compute binary expreesion, left_input=3300, right_input=2020, 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 = 14qkJME0vr, unary_op_definition = 'a���⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-559","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1AB0⨵⪆⫖↰⪸1204)⊦⊿=⫖↰⪸-3A7","reverse_text":"⫖↰⪸-3A7=(⫖↰⪸1AB0⨵⪆⫖↰⪸1204)⊦⊿","cot":[{"info":"⫖↰⪸1AB0⨵⪆⫖↰⪸1204=⫖↰⪸114","layer":1},{"info":"⫖↰⪸114⊦⊿=⫖↰⪸-3A7","layer":0}]}
+{"id":295,"expression_no_base_symbol":"($2175$⪐)⩚⊴⇥($4824$+⇶⊼$5923$)","expression":"(⫖↰⪸1313⪐)⩚⊴⇥(⫖↰⪸2960+⇶⊼⫖↰⪸3517)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2175,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4824,"base":12},"right_expr":{"type":"numeric_atoms","value":5923,"base":12}}},"used_operators":["NTOWxs364D","eH2TOUuTDT","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2175","layer":2},{"info":"compute unary expreesion, input=2175, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4350","layer":1},{"info":"number node, value=4824","layer":2},{"info":"number node, value=5923","layer":2},{"info":"compute binary expreesion, left_input=4824, right_input=5923, 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=4350, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1313⪐)⩚⊴⇥(⫖↰⪸2960+⇶⊼⫖↰⪸3517)=NaN","reverse_text":"NaN=(⫖↰⪸1313⪐)⩚⊴⇥(⫖↰⪸2960+⇶⊼⫖↰⪸3517)","cot":[{"info":"⫖↰⪸1313⪐=⫖↰⪸2626","layer":1},{"info":"⫖↰⪸2960+⇶⊼⫖↰⪸3517=NaN","layer":1},{"info":"⫖↰⪸2626⩚⊴⇥NaN=NaN","layer":0}]}
+{"id":296,"expression_no_base_symbol":"($1072$∲⫓$3210$)⩨($7818$⪐)","expression":"(⫖↰⪸754∲⫓⫖↰⪸1A36)⩨(⫖↰⪸4636⪐)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1072,"base":12},"right_expr":{"type":"numeric_atoms","value":3210,"base":12}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":7818,"base":12}}},"used_operators":["2DlMacCsIx","i8ToyICDmI","eH2TOUuTDT"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1072","layer":2},{"info":"number node, value=3210","layer":2},{"info":"compute binary expreesion, left_input=1072, right_input=3210, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=7818","layer":2},{"info":"compute unary expreesion, input=7818, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=15636","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=15636, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸754∲⫓⫖↰⪸1A36)⩨(⫖↰⪸4636⪐)=NaN","reverse_text":"NaN=(⫖↰⪸754∲⫓⫖↰⪸1A36)⩨(⫖↰⪸4636⪐)","cot":[{"info":"⫖↰⪸754∲⫓⫖↰⪸1A36=⫖↰⪸0","layer":1},{"info":"⫖↰⪸4636⪐=⫖↰⪸9070","layer":1},{"info":"⫖↰⪸0⩨⫖↰⪸9070=NaN","layer":0}]}
+{"id":297,"expression_no_base_symbol":"(⪝⪂⫅$4576$)⩷∴($7811$-$2467$)","expression":"(⪝⪂⫅⫖↰⪸2794)⩷∴(⫖↰⪸462B-⫖↰⪸1517)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":157,"operation_count":3,"complexity_ratio":52.333333333333336,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4576,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7811,"base":12},"right_expr":{"type":"numeric_atoms","value":2467,"base":12}}},"used_operators":["9FxExcQeMw","XTarYq4gQB","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫖↰⪸-554914","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4576","layer":2},{"info":"compute unary expreesion, input=4576, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-672672","layer":1},{"info":"number node, value=7811","layer":2},{"info":"number node, value=2467","layer":2},{"info":"compute binary expreesion, left_input=7811, right_input=2467, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5344","layer":1},{"info":"compute binary expreesion, left_input=-672672, right_input=5344, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1356064","layer":0}],"base":12,"result_base":12,"text":"(⪝⪂⫅⫖↰⪸2794)⩷∴(⫖↰⪸462B-⫖↰⪸1517)=⫖↰⪸-554914","reverse_text":"⫖↰⪸-554914=(⪝⪂⫅⫖↰⪸2794)⩷∴(⫖↰⪸462B-⫖↰⪸1517)","cot":[{"info":"⪝⪂⫅⫖↰⪸2794=⫖↰⪸-285340","layer":1},{"info":"⫖↰⪸462B-⫖↰⪸1517=⫖↰⪸3114","layer":1},{"info":"⫖↰⪸-285340⩷∴⫖↰⪸3114=⫖↰⪸-554914","layer":0}]}
+{"id":298,"expression_no_base_symbol":"($7297$⪨≂$3425$)↬(∂$3361$)","expression":"(⫖↰⪸4281⪨≂⫖↰⪸1B95)↬(∂⫖↰⪸1B41)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7297,"base":12},"right_expr":{"type":"numeric_atoms","value":3425,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3361,"base":12}}},"used_operators":["B5M0gjZbta","sdazOOVcIp","Uaa54Peajs"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7297","layer":2},{"info":"number node, value=3425","layer":2},{"info":"compute binary expreesion, left_input=7297, right_input=3425, 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=7846","layer":1},{"info":"number node, value=3361","layer":2},{"info":"compute unary expreesion, input=3361, 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=7846, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸4281⪨≂⫖↰⪸1B95)↬(∂⫖↰⪸1B41)=NaN","reverse_text":"NaN=(⫖↰⪸4281⪨≂⫖↰⪸1B95)↬(∂⫖↰⪸1B41)","cot":[{"info":"⫖↰⪸4281⪨≂⫖↰⪸1B95=⫖↰⪸465A","layer":1},{"info":"∂⫖↰⪸1B41=NaN","layer":1},{"info":"⫖↰⪸465A↬NaN=NaN","layer":0}]}
+{"id":299,"expression_no_base_symbol":"⊥(↥$2224$)","expression":"⊥(↥⫖↰⪸1354)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1190,"operation_count":2,"complexity_ratio":595.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2224,"base":12}}},"used_operators":["Q3PJZHRvZv","A8NUZmVepG"],"dependent_operators":["fu6greOZ01","k8jYdgA6NY"],"result":"⫖↰⪸-2A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2224","layer":2},{"info":"compute unary expreesion, input=2224, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=31","layer":1},{"info":"compute unary expreesion, input=31, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-34","layer":0}],"base":12,"result_base":12,"text":"⊥(↥⫖↰⪸1354)=⫖↰⪸-2A","reverse_text":"⫖↰⪸-2A=⊥(↥⫖↰⪸1354)","cot":[{"info":"↥⫖↰⪸1354=⫖↰⪸27","layer":1},{"info":"⊥⫖↰⪸27=⫖↰⪸-2A","layer":0}]}
+{"id":300,"expression_no_base_symbol":"$7202$⪛$1559$∲⫓$7219$⪄$1009$","expression":"⫖↰⪸4202⪛⫖↰⪸A9B∲⫓⫖↰⪸4217⪄⫖↰⪸701","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":103,"operation_count":3,"complexity_ratio":34.333333333333336,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7202,"base":12},"right_expr":{"type":"numeric_atoms","value":1559,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7219,"base":12},"right_expr":{"type":"numeric_atoms","value":1009,"base":12}}},"used_operators":["i8ToyICDmI","uFcxV4UQCh","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"��↰⪸686","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7202","layer":2},{"info":"number node, value=1559","layer":2},{"info":"compute binary expreesion, left_input=7202, right_input=1559, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=966","layer":1},{"info":"number node, value=7219","layer":2},{"info":"number node, value=1009","layer":2},{"info":"compute binary expreesion, left_input=7219, right_input=1009, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1068537","layer":1},{"info":"compute binary expreesion, left_input=966, right_input=-1068537, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=966","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸4202⪛⫖↰⪸A9B∲⫓⫖↰⪸4217⪄⫖↰⪸701=⫖↰⪸686","reverse_text":"⫖↰⪸686=⫖↰⪸4202⪛⫖↰⪸A9B∲⫓⫖↰⪸4217⪄⫖↰⪸701","cot":[{"info":"⫖↰⪸4202⪛⫖↰⪸A9B=⫖↰⪸686","layer":1},{"info":"⫖↰⪸4217⪄⫖↰⪸701=⫖↰⪸-436449","layer":1},{"info":"⫖↰⪸686∲⫓⫖↰⪸-436449=⫖↰⪸686","layer":0}]}
+{"id":301,"expression_no_base_symbol":"($1457$⨰$1746$)∑⇟⊟($1079$≫≃)","expression":"(⫖↰⪸A15⨰⫖↰⪸1016)∑⇟⊟(⫖↰⪸75B≫≃)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1457,"base":12},"right_expr":{"type":"numeric_atoms","value":1746,"base":12}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1079,"base":12}}},"used_operators":["U7g4x0WXJJ","eewbuw0ToL","X99M06cbEe"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1457","layer":2},{"info":"number node, value=1746","layer":2},{"info":"compute binary expreesion, left_input=1457, right_input=1746, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-279","layer":1},{"info":"number node, value=1079","layer":2},{"info":"compute unary expreesion, input=1079, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3559","layer":1},{"info":"compute binary expreesion, left_input=-279, right_input=3559, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A15⨰⫖↰⪸1016)∑⇟⊟(⫖↰⪸75B≫≃)=NaN","reverse_text":"NaN=(⫖↰⪸A15⨰⫖↰⪸1016)∑⇟⊟(⫖↰⪸75B≫≃)","cot":[{"info":"⫖↰⪸A15⨰⫖↰⪸1016=⫖↰⪸-1B3","layer":1},{"info":"⫖↰⪸75B≫≃=⫖↰⪸2087","layer":1},{"info":"⫖↰⪸-1B3∑⇟⊟⫖↰⪸2087=NaN","layer":0}]}
+{"id":302,"expression_no_base_symbol":"$1341$⫥∨⫟$1780$⇼⇔∾$1514$⨐⩸⫘$4657$","expression":"⫖↰⪸939⫥∨⫟⫖↰⪸1044⇼⇔∾⫖↰⪸A62⨐⩸⫘⫖↰⪸2841","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":157,"operation_count":3,"complexity_ratio":52.333333333333336,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1341,"base":12},"right_expr":{"type":"numeric_atoms","value":1780,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1514,"base":12},"right_expr":{"type":"numeric_atoms","value":4657,"base":12}}},"used_operators":["tifHPKVTfV","KYD54nUTWz","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1341","layer":2},{"info":"number node, value=1780","layer":2},{"info":"compute binary expreesion, left_input=1341, right_input=1780, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1514","layer":2},{"info":"number node, value=4657","layer":2},{"info":"compute binary expreesion, left_input=1514, right_input=4657, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸939⫥∨⫟⫖↰⪸1044⇼⇔∾⫖↰⪸A62⨐⩸⫘⫖↰⪸2841=NaN","reverse_text":"NaN=⫖↰⪸939⫥∨⫟⫖↰⪸1044⇼⇔∾⫖↰⪸A62⨐⩸⫘⫖↰⪸2841","cot":[{"info":"⫖↰⪸939⫥∨⫟⫖↰⪸1044=NaN","layer":1},{"info":"⫖↰⪸A62⨐⩸⫘⫖↰⪸2841=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
+{"id":303,"expression_no_base_symbol":"$8634$⨎$4340$⫸⊐($1983$⨸⪁$3001$)","expression":"⫖↰⪸4BB6⨎⫖↰⪸2618⫸⊐(⫖↰⪸1193⨸⪁⫖↰⪸18A1)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8634,"base":12},"right_expr":{"type":"numeric_atoms","value":4340,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1983,"base":12},"right_expr":{"type":"numeric_atoms","value":3001,"base":12}}},"used_operators":["mqXw5SEYmG","rJVOvQCfKK","g55IO6H4Gj"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe"],"result":"⫖↰⪸1B003","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8634","layer":2},{"info":"number node, value=4340","layer":2},{"info":"compute binary expreesion, left_input=8634, right_input=4340, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4340","layer":1},{"info":"number node, value=1983","layer":2},{"info":"number node, value=3001","layer":2},{"info":"compute binary expreesion, left_input=1983, right_input=3001, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9968","layer":1},{"info":"compute binary expreesion, left_input=4340, right_input=9968, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=39747","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸4BB6⨎⫖↰⪸2618⫸⊐(⫖↰⪸1193⨸⪁⫖↰⪸18A1)=⫖↰⪸1B003","reverse_text":"⫖↰⪸1B003=⫖↰⪸4BB6⨎⫖↰⪸2618⫸⊐(⫖↰⪸1193⨸⪁⫖↰⪸18A1)","cot":[{"info":"⫖↰⪸4BB6⨎⫖↰⪸2618=⫖↰⪸2618","layer":1},{"info":"⫖↰⪸1193⨸⪁⫖↰⪸18A1=⫖↰⪸5928","layer":1},{"info":"⫖↰⪸2618⫸⊐⫖↰⪸5928=⫖↰⪸1B003","layer":0}]}
+{"id":304,"expression_no_base_symbol":"⪝⪂⫅$1302$⇷$1796$","expression":"⪝⪂⫅⫖↰⪸906⇷⫖↰⪸1058","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":18384,"operation_count":2,"complexity_ratio":9192.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1302,"base":12},"right_expr":{"type":"numeric_atoms","value":1796,"base":12}}},"used_operators":["XTarYq4gQB","mp7IySMOzn"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸-2156A0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1302","layer":2},{"info":"number node, value=1796","layer":2},{"info":"compute binary expreesion, left_input=1302, right_input=1796, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3592","layer":1},{"info":"compute unary expreesion, input=3592, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-528024","layer":0}],"base":12,"result_base":12,"text":"⪝⪂⫅⫖↰⪸906⇷⫖↰⪸1058=⫖↰⪸-2156A0","reverse_text":"⫖↰⪸-2156A0=⪝⪂⫅⫖↰⪸906⇷⫖↰⪸1058","cot":[{"info":"⫖↰⪸906⇷⫖↰⪸1058=⫖↰⪸20B4","layer":1},{"info":"⪝⪂⫅⫖↰⪸20B4=⫖↰⪸-2156A0","layer":0}]}
+{"id":305,"expression_no_base_symbol":"(⨰⫟⨤$4611$)≦≮≮","expression":"(⨰⫟⨤⫖↰⪸2803)≦≮≮","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":17607,"operation_count":2,"complexity_ratio":8803.5,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4611,"base":12}}},"used_operators":["D4vGDi5EA2","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4611","layer":2},{"info":"compute unary expreesion, input=4611, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨰⫟⨤⫖↰⪸2803)≦≮≮=NaN","reverse_text":"NaN=(⨰⫟⨤⫖↰⪸2803)≦≮≮","cot":[{"info":"⨰⫟⨤⫖↰⪸2803=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
+{"id":306,"expression_no_base_symbol":"$5135$⨳⩥⨓$1043$/($1285$⇋≉)","expression":"⫖↰⪸2B7B⨳⩥⨓⫖↰⪸72B/(⫖↰⪸8B1⇋≉)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5135,"base":12},"right_expr":{"type":"numeric_atoms","value":1043,"base":12}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1285,"base":12}}},"used_operators":["XhwjNDsVaA","nCS4ZIUYfx","XIabStNQrY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5135","layer":2},{"info":"number node, value=1043","layer":2},{"info":"compute binary expreesion, left_input=5135, right_input=1043, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4092","layer":1},{"info":"number node, value=1285","layer":2},{"info":"compute unary expreesion, input=1285, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2472","layer":1},{"info":"compute binary expreesion, left_input=-4092, right_input=2472, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-2","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2B7B⨳⩥⨓⫖↰⪸72B/(⫖↰⪸8B1⇋≉)=⫖↰⪸-2","reverse_text":"⫖↰⪸-2=⫖↰⪸2B7B⨳⩥⨓⫖↰⪸72B/(⫖↰⪸8B1⇋≉)","cot":[{"info":"⫖↰⪸2B7B⨳⩥⨓⫖↰⪸72B=⫖↰⪸-2450","layer":1},{"info":"⫖↰⪸8B1⇋≉=⫖↰⪸1520","layer":1},{"info":"⫖↰⪸-2450/⫖↰⪸1520=⫖↰⪸-2","layer":0}]}
+{"id":307,"expression_no_base_symbol":"($1465$≫≃)⋝⋈⪟($3267$⪨≂$5005$)","expression":"(⫖↰⪸A21≫≃)⋝⋈⪟(⫖↰⪸1A83⪨≂⫖↰⪸2A91)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1465,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3267,"base":12},"right_expr":{"type":"numeric_atoms","value":5005,"base":12}}},"used_operators":["2DDjHMKMc0","X99M06cbEe","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸260B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1465","layer":2},{"info":"compute unary expreesion, input=1465, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4331","layer":1},{"info":"number node, value=3267","layer":2},{"info":"number node, value=5005","layer":2},{"info":"compute binary expreesion, left_input=3267, right_input=5005, 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=-3374","layer":1},{"info":"compute binary expreesion, left_input=4331, right_input=-3374, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4331","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A21≫≃)⋝⋈⪟(⫖↰⪸1A83⪨≂⫖↰⪸2A91)=⫖↰⪸260B","reverse_text":"⫖↰⪸260B=(⫖↰⪸A21≫≃)⋝⋈⪟(⫖↰⪸1A83⪨≂⫖↰⪸2A91)","cot":[{"info":"⫖↰⪸A21≫≃=⫖↰⪸260B","layer":1},{"info":"⫖↰⪸1A83⪨≂⫖↰⪸2A91=⫖↰⪸-1B52","layer":1},{"info":"⫖↰⪸260B⋝⋈⪟⫖↰⪸-1B52=⫖↰⪸260B","layer":0}]}
+{"id":308,"expression_no_base_symbol":"(⨞⊢$1737$)∧","expression":"(⨞⊢⫖↰⪸1009)∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1737,"base":12}}},"used_operators":["z63VuFQld9","xUOZtlo3hN"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1737","layer":2},{"info":"compute unary expreesion, input=1737, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1911","layer":1},{"info":"compute unary expreesion, input=-1911, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a���a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⨞⊢⫖↰⪸1009)∧=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⨞⊢⫖↰⪸1009)∧","cot":[{"info":"⨞⊢⫖↰⪸1009=⫖↰⪸-1133","layer":1},{"info":"⫖↰⪸-1133∧=⫖↰⪸0","layer":0}]}
+{"id":309,"expression_no_base_symbol":"$1400$≹⇙⪍$1732$-$1597$⨟⋌⩍$1419$","expression":"⫖↰⪸988≹⇙⪍⫖↰⪸1004-⫖↰⪸B11⨟⋌⩍⫖↰⪸9A3","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1400,"base":12},"right_expr":{"type":"numeric_atoms","value":1732,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1597,"base":12},"right_expr":{"type":"numeric_atoms","value":1419,"base":12}}},"used_operators":["rysDP5nf3Z","AHs5Up7iyr","rGHVDoGpnC"],"dependent_operators":["dWAJyo7jo9","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1400","layer":2},{"info":"number node, value=1732","layer":2},{"info":"compute binary expreesion, left_input=1400, right_input=1732, 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=1597","layer":2},{"info":"number node, value=1419","layer":2},{"info":"compute binary expreesion, left_input=1597, right_input=1419, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸988≹⇙⪍⫖↰⪸1004-⫖↰⪸B11⨟⋌⩍⫖↰⪸9A3=NaN","reverse_text":"NaN=⫖↰⪸988≹⇙⪍⫖↰⪸1004-⫖↰⪸B11⨟⋌⩍⫖↰⪸9A3","cot":[{"info":"⫖↰⪸988≹⇙⪍⫖↰⪸1004=NaN","layer":1},{"info":"⫖↰⪸B11⨟⋌⩍⫖↰⪸9A3=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
+{"id":310,"expression_no_base_symbol":"⇁⨣⪵($5727$⪠⩆⊳)","expression":"⇁⨣⪵(⫖↰⪸3393⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5727,"base":12}}},"used_operators":["inkyxCbjAn","JLbD19bQDL"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5727","layer":2},{"info":"compute unary expreesion, input=5727, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⇁⨣⪵(⫖↰⪸3393⪠⩆⊳)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⇁⨣⪵(⫖↰⪸3393⪠⩆⊳)","cot":[{"info":"⫖↰⪸3393⪠⩆⊳=⫖↰⪸0","layer":1},{"info":"⇁⨣⪵⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":311,"expression_no_base_symbol":"($3449$⋥≓≎$2424$)⨪↰⇹($1067$≋⫹)","expression":"(⫖↰⪸1BB5⋥≓≎⫖↰⪸14A0)⨪↰⇹(⫖↰⪸74B≋⫹)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1439,"operation_count":3,"complexity_ratio":479.6666666666667,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3449,"base":12},"right_expr":{"type":"numeric_atoms","value":2424,"base":12}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1067,"base":12}}},"used_operators":["tmPS8pqC7x","Qy55tPpLXF","N41Kp7NANJ"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸9B4","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3449","layer":2},{"info":"number node, value=2424","layer":2},{"info":"compute binary expreesion, left_input=3449, right_input=2424, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1432","layer":1},{"info":"number node, value=1067","layer":2},{"info":"compute unary expreesion, input=1067, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2134","layer":1},{"info":"compute binary expreesion, left_input=1432, right_input=-2134, 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=1432","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1BB5⋥≓≎⫖↰⪸14A0)⨪↰⇹(⫖↰⪸74B≋⫹)=⫖↰⪸9B4","reverse_text":"⫖↰⪸9B4=(⫖↰⪸1BB5⋥≓≎⫖↰⪸14A0)⨪↰⇹(⫖↰⪸74B≋⫹)","cot":[{"info":"⫖↰⪸1BB5⋥≓≎⫖↰⪸14A0=⫖↰⪸9B4","layer":1},{"info":"⫖↰⪸74B≋⫹=⫖↰⪸-129A","layer":1},{"info":"⫖↰⪸9B4⨪↰⇹⫖↰⪸-129A=⫖↰⪸9B4","layer":0}]}
+{"id":312,"expression_no_base_symbol":"⩦⩻⨪($7781$/$3081$)","expression":"⩦⩻⨪(⫖↰⪸4605/⫖↰⪸1949)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7781,"base":12},"right_expr":{"type":"numeric_atoms","value":3081,"base":12}}},"used_operators":["2td37pGCOC","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸2","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7781","layer":2},{"info":"number node, value=3081","layer":2},{"info":"compute binary expreesion, left_input=7781, right_input=3081, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":1},{"info":"compute unary expreesion, input=2, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪(⫖↰⪸4605/⫖↰⪸1949)=⫖↰⪸2","reverse_text":"⫖↰⪸2=⩦⩻⨪(⫖↰⪸4605/⫖↰⪸1949)","cot":[{"info":"⫖↰⪸4605/⫖↰⪸1949=⫖↰⪸2","layer":1},{"info":"⩦⩻⨪⫖↰⪸2=⫖↰⪸2","layer":0}]}
+{"id":313,"expression_no_base_symbol":"↥($5292$-$3421$)","expression":"↥(⫖↰⪸3090-⫖↰⪸1B91)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":37,"operation_count":2,"complexity_ratio":18.5,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5292,"base":12},"right_expr":{"type":"numeric_atoms","value":3421,"base":12}}},"used_operators":["A8NUZmVepG","rysDP5nf3Z"],"dependent_operators":["k8jYdgA6NY"],"result":"⫖↰⪸2B","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5292","layer":2},{"info":"number node, value=3421","layer":2},{"info":"compute binary expreesion, left_input=5292, right_input=3421, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1871","layer":1},{"info":"compute unary expreesion, input=1871, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=35","layer":0}],"base":12,"result_base":12,"text":"↥(⫖↰⪸3090-⫖↰⪸1B91)=⫖↰⪸2B","reverse_text":"⫖↰⪸2B=↥(⫖↰⪸3090-⫖↰⪸1B91)","cot":[{"info":"⫖↰⪸3090-⫖↰⪸1B91=⫖↰⪸10BB","layer":1},{"info":"↥⫖↰⪸10BB=⫖↰⪸2B","layer":0}]}
+{"id":314,"expression_no_base_symbol":"($2404$⊘)≧⫂∧($1439$⋳⪒$3689$)","expression":"(⫖↰⪸1484⊘)≧⫂∧(⫖↰⪸9BB⋳⪒⫖↰⪸2175)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2404,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1439,"base":12},"right_expr":{"type":"numeric_atoms","value":3689,"base":12}}},"used_operators":["Ph9nP6C5qx","gu96TGCTMs","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸776","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2404","layer":2},{"info":"compute unary expreesion, input=2404, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"number node, value=1439","layer":2},{"info":"number node, value=3689","layer":2},{"info":"compute binary expreesion, left_input=1439, right_input=3689, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1098","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1098, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1098","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1484⊘)≧⫂∧(⫖↰⪸9BB⋳⪒⫖↰⪸2175)=⫖↰⪸776","reverse_text":"⫖↰⪸776=(⫖↰⪸1484⊘)��⫂∧(⫖↰⪸9BB⋳⪒⫖↰⪸2175)","cot":[{"info":"⫖↰⪸1484⊘=⫖↰⪸0","layer":1},{"info":"⫖↰⪸9BB⋳⪒⫖↰⪸2175=⫖↰⪸-776","layer":1},{"info":"⫖↰⪸0≧⫂∧⫖↰⪸-776=⫖↰⪸776","layer":0}]}
+{"id":315,"expression_no_base_symbol":"(⩦⩻⨪$2885$)∀⇚≩($1386$⨳⩥⨓$1604$)","expression":"(⩦⩻⨪⫖↰⪸1805)∀⇚≩(⫖↰⪸976⨳⩥⨓⫖↰⪸B18)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20201,"operation_count":3,"complexity_ratio":6733.666666666667,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2885,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1386,"base":12},"right_expr":{"type":"numeric_atoms","value":1604,"base":12}}},"used_operators":["LRNGc0VcxI","2td37pGCOC","nCS4ZIUYfx"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2885","layer":2},{"info":"compute unary expreesion, input=2885, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2885","layer":1},{"info":"number node, value=1386","layer":2},{"info":"number node, value=1604","layer":2},{"info":"compute binary expreesion, left_input=1386, right_input=1604, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=218","layer":1},{"info":"compute binary expreesion, left_input=2885, right_input=218, 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":12,"result_base":12,"text":"(⩦⩻⨪⫖↰⪸1805)∀⇚≩(⫖↰⪸976⨳⩥⨓⫖↰⪸B18)=NaN","reverse_text":"NaN=(⩦⩻⨪⫖↰⪸1805)∀⇚≩(⫖↰⪸976⨳⩥⨓⫖↰⪸B18)","cot":[{"info":"⩦⩻⨪⫖↰⪸1805=⫖↰⪸1805","layer":1},{"info":"⫖↰⪸976⨳⩥⨓⫖↰⪸B18=⫖↰⪸162","layer":1},{"info":"⫖↰⪸1805∀⇚≩⫖↰⪸162=NaN","layer":0}]}
+{"id":316,"expression_no_base_symbol":"$6270$⊴$5558$⪨≂($2360$≫≃)","expression":"⫖↰⪸3766⊴⫖↰⪸3272⪨≂(⫖↰⪸1448≫≃)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5671,"operation_count":3,"complexity_ratio":1890.3333333333333,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6270,"base":12},"right_expr":{"type":"numeric_atoms","value":5558,"base":12}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2360,"base":12}}},"used_operators":["sdazOOVcIp","Nsiff2A1zJ","X99M06cbEe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6270","layer":2},{"info":"number node, value=5558","layer":2},{"info":"compute binary expreesion, left_input=6270, right_input=5558, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2360","layer":2},{"info":"compute unary expreesion, input=2360, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6121","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6121, 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":12,"result_base":12,"text":"⫖↰⪸3766⊴⫖↰⪸3272⪨≂(⫖↰⪸1448≫≃)=NaN","reverse_text":"NaN=⫖↰⪸3766⊴⫖↰⪸3272⪨≂(⫖↰⪸1448≫≃)","cot":[{"info":"⫖↰⪸3766⊴⫖↰⪸3272=NaN","layer":1},{"info":"⫖↰⪸1448≫≃=⫖↰⪸3661","layer":1},{"info":"NaN⪨≂⫖↰⪸3661=NaN","layer":0}]}
+{"id":317,"expression_no_base_symbol":"↽≂($1222$⋷$3940$)","expression":"↽≂(⫖↰⪸85A⋷⫖↰⪸2344)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1222,"base":12},"right_expr":{"type":"numeric_atoms","value":3940,"base":12}}},"used_operators":["u6S6b8DprG","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-7858","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1222","layer":2},{"info":"number node, value=3940","layer":2},{"info":"compute binary expreesion, left_input=1222, right_input=3940, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6658","layer":1},{"info":"compute unary expreesion, input=6658, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-13316","layer":0}],"base":12,"result_base":12,"text":"↽≂(⫖↰⪸85A⋷⫖↰⪸2344)=⫖↰⪸-7858","reverse_text":"⫖↰⪸-7858=↽≂(⫖↰⪸85A⋷⫖↰⪸2344)","cot":[{"info":"⫖↰⪸85A⋷⫖↰⪸2344=⫖↰⪸3A2A","layer":1},{"info":"↽≂⫖↰⪸3A2A=⫖↰⪸-7858","layer":0}]}
+{"id":318,"expression_no_base_symbol":"$3216$⨸⪁$1558$%$2870$⨰$1579$","expression":"⫖↰⪸1A40⨸⪁⫖↰⪸A9A%⫖↰⪸17B2⨰⫖↰⪸AB7","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3216,"base":12},"right_expr":{"type":"numeric_atoms","value":1558,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2870,"base":12},"right_expr":{"type":"numeric_atoms","value":1579,"base":12}}},"used_operators":["k8jYdgA6NY","g55IO6H4Gj","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸309","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3216","layer":2},{"info":"number node, value=1558","layer":2},{"info":"compute binary expreesion, left_input=3216, right_input=1558, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9548","layer":1},{"info":"number node, value=2870","layer":2},{"info":"number node, value=1579","layer":2},{"info":"compute binary expreesion, left_input=2870, right_input=1579, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1301","layer":1},{"info":"compute binary expreesion, left_input=9548, right_input=1301, op_id = k8jYdgA6NY binary_op_definition= 'None', output=441","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1A40⨸⪁⫖↰⪸A9A%⫖↰⪸17B2⨰⫖↰⪸AB7=⫖↰⪸309","reverse_text":"⫖↰⪸309=⫖↰⪸1A40⨸⪁⫖↰⪸A9A%⫖↰⪸17B2⨰⫖↰⪸AB7","cot":[{"info":"⫖↰⪸1A40⨸⪁⫖↰⪸A9A=⫖↰⪸5638","layer":1},{"info":"⫖↰⪸17B2⨰⫖↰⪸AB7=⫖↰⪸905","layer":1},{"info":"⫖↰⪸5638%⫖↰⪸905=⫖↰⪸309","layer":0}]}
+{"id":319,"expression_no_base_symbol":"($2440$⪠⩆⊳)⋝⋈⪟($1644$⨎$6537$)","expression":"(⫖↰⪸14B4⪠⩆⊳)⋝⋈⪟(⫖↰⪸B50⨎⫖↰⪸3949)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2440,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1644,"base":12},"right_expr":{"type":"numeric_atoms","value":6537,"base":12}}},"used_operators":["2DDjHMKMc0","JLbD19bQDL","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2440","layer":2},{"info":"compute unary expreesion, input=2440, 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":"number node, value=1644","layer":2},{"info":"number node, value=6537","layer":2},{"info":"compute binary expreesion, left_input=1644, right_input=6537, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6537","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6537, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸14B4⪠⩆⊳)⋝⋈⪟(⫖↰⪸B50⨎⫖↰⪸3949)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸14B4⪠⩆⊳)⋝⋈⪟(⫖↰⪸B50⨎⫖↰⪸3949)","cot":[{"info":"⫖↰⪸14B4⪠⩆⊳=⫖↰⪸0","layer":1},{"info":"⫖↰⪸B50⨎⫖↰⪸3949=⫖↰⪸3949","layer":1},{"info":"⫖↰⪸0⋝⋈⪟⫖↰⪸3949=⫖↰⪸0","layer":0}]}
+{"id":320,"expression_no_base_symbol":"($3793$∲⫓$1225$)⊘","expression":"(⫖↰⪸2241∲⫓⫖↰⪸861)⊘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24,"operation_count":2,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3793,"base":12},"right_expr":{"type":"numeric_atoms","value":1225,"base":12}}},"used_operators":["gu96TGCTMs","i8ToyICDmI"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3793","layer":2},{"info":"number node, value=1225","layer":2},{"info":"compute binary expreesion, left_input=3793, right_input=1225, 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 = 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":12,"result_base":12,"text":"(⫖↰⪸2241∲⫓⫖↰⪸861)⊘=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸2241∲⫓⫖↰⪸861)⊘","cot":[{"info":"⫖↰⪸2241∲⫓⫖↰⪸861=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⊘=⫖↰⪸0","layer":0}]}
+{"id":321,"expression_no_base_symbol":"⩦⩻⨪$2967$⇷$5333$","expression":"⩦⩻⨪⫖↰⪸1873⇷⫖↰⪸3105","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":41547,"operation_count":2,"complexity_ratio":20773.5,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2967,"base":12},"right_expr":{"type":"numeric_atoms","value":5333,"base":12}}},"used_operators":["2td37pGCOC","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸620A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2967","layer":2},{"info":"number node, value=5333","layer":2},{"info":"compute binary expreesion, left_input=2967, right_input=5333, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10666","layer":1},{"info":"compute unary expreesion, input=10666, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=10666","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪⫖↰⪸1873⇷⫖↰⪸3105=⫖↰⪸620A","reverse_text":"⫖↰⪸620A=⩦⩻⨪⫖↰⪸1873⇷⫖↰⪸3105","cot":[{"info":"⫖↰⪸1873⇷⫖↰⪸3105=⫖↰⪸620A","layer":1},{"info":"⩦⩻⨪⫖↰⪸620A=⫖↰⪸620A","layer":0}]}
+{"id":322,"expression_no_base_symbol":"⪝⪂⫅($1261$∲⫓$6938$)","expression":"⪝⪂⫅(⫖↰⪸891∲⫓⫖↰⪸4022)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1261,"base":12},"right_expr":{"type":"numeric_atoms","value":6938,"base":12}}},"used_operators":["XTarYq4gQB","i8ToyICDmI"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1261","layer":2},{"info":"number node, value=6938","layer":2},{"info":"compute binary expreesion, left_input=1261, right_input=6938, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⪝⪂⫅(⫖↰⪸891∲⫓⫖↰⪸4022)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⪝⪂⫅(⫖↰⪸891∲⫓⫖↰⪸4022)","cot":[{"info":"⫖↰⪸891∲⫓⫖↰⪸4022=⫖↰⪸0","layer":1},{"info":"⪝⪂⫅⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":323,"expression_no_base_symbol":"⨵≀≌($1205$⩨$1280$)","expression":"⨵≀≌(⫖↰⪸845⩨⫖↰⪸8A8)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":2,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1205,"base":12},"right_expr":{"type":"numeric_atoms","value":1280,"base":12}}},"used_operators":["srAu1WTS94","2DlMacCsIx"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸9","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1205","layer":2},{"info":"number node, value=1280","layer":2},{"info":"compute binary expreesion, left_input=1205, right_input=1280, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"compute unary expreesion, input=-3, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=9","layer":0}],"base":12,"result_base":12,"text":"⨵≀≌(⫖↰⪸845⩨⫖↰⪸8A8)=⫖↰⪸9","reverse_text":"⫖↰⪸9=⨵≀≌(⫖↰⪸845⩨⫖↰⪸8A8)","cot":[{"info":"⫖↰⪸845⩨⫖↰⪸8A8=⫖↰⪸-3","layer":1},{"info":"⨵≀≌⫖↰⪸-3=⫖↰⪸9","layer":0}]}
+{"id":324,"expression_no_base_symbol":"$1123$≹⇙⪍$1391$⊉≛↸$1040$⪛$5256$","expression":"⫖↰⪸797≹⇙⪍⫖↰⪸97B⊉≛↸⫖↰⪸728⪛⫖↰⪸3060","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1123,"base":12},"right_expr":{"type":"numeric_atoms","value":1391,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1040,"base":12},"right_expr":{"type":"numeric_atoms","value":5256,"base":12}}},"used_operators":["DZ8iAZOCBD","AHs5Up7iyr","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1123","layer":2},{"info":"number node, value=1391","layer":2},{"info":"compute binary expreesion, left_input=1123, right_input=1391, 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=1040","layer":2},{"info":"number node, value=5256","layer":2},{"info":"compute binary expreesion, left_input=1040, right_input=5256, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1040","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1040, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸797≹⇙⪍⫖↰⪸97B⊉≛↸⫖↰⪸728⪛⫖↰⪸3060=NaN","reverse_text":"NaN=⫖↰⪸797≹⇙⪍⫖↰⪸97B⊉≛↸⫖↰⪸728⪛⫖↰⪸3060","cot":[{"info":"⫖↰⪸797≹⇙⪍⫖↰⪸97B=NaN","layer":1},{"info":"⫖↰⪸728⪛⫖↰⪸3060=⫖↰⪸728","layer":1},{"info":"NaN⊉≛↸⫖↰⪸728=NaN","layer":0}]}
+{"id":325,"expression_no_base_symbol":"($1257$≦≮≮)≎⊠⪸(↔$2605$)","expression":"(⫖↰⪸889≦≮≮)≎⊠⪸(↔⫖↰⪸1611)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1257,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2605,"base":12}}},"used_operators":["bJkvcejdHO","D4vGDi5EA2","ruOEQAzv1W"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1257","layer":2},{"info":"compute unary expreesion, input=1257, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3771","layer":1},{"info":"number node, value=2605","layer":2},{"info":"compute unary expreesion, input=2605, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2332","layer":1},{"info":"compute binary expreesion, left_input=-3771, right_input=-2332, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸889≦≮≮)≎⊠⪸(↔⫖↰⪸1611)=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⫖↰⪸889≦≮≮)≎⊠⪸(↔⫖↰⪸1611)","cot":[{"info":"⫖↰⪸889≦≮≮=⫖↰⪸-2223","layer":1},{"info":"↔⫖↰⪸1611=⫖↰⪸-1424","layer":1},{"info":"⫖↰⪸-2223≎⊠⪸⫖↰⪸-1424=⫖↰⪸57","layer":0}]}
+{"id":326,"expression_no_base_symbol":"($1030$⨸⪁$1228$)⪘⫢($3734$-$3987$)","expression":"(⫖↰⪸71A⨸⪁⫖↰⪸864)⪘⫢(⫖↰⪸21B2-⫖↰⪸2383)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1030,"base":12},"right_expr":{"type":"numeric_atoms","value":1228,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3734,"base":12},"right_expr":{"type":"numeric_atoms","value":3987,"base":12}}},"used_operators":["oacrs7FA3X","g55IO6H4Gj","rysDP5nf3Z"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1030","layer":2},{"info":"number node, value=1228","layer":2},{"info":"compute binary expreesion, left_input=1030, right_input=1228, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4516","layer":1},{"info":"number node, value=3734","layer":2},{"info":"number node, value=3987","layer":2},{"info":"compute binary expreesion, left_input=3734, right_input=3987, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-253","layer":1},{"info":"compute binary expreesion, left_input=4516, right_input=-253, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸71A⨸⪁⫖↰⪸864)⪘⫢(⫖↰⪸21B2-⫖↰⪸2383)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸71A⨸⪁⫖↰⪸864)⪘⫢(⫖↰⪸21B2-⫖↰⪸2383)","cot":[{"info":"⫖↰⪸71A⨸⪁⫖↰⪸864=⫖↰⪸2744","layer":1},{"info":"⫖↰⪸21B2-⫖↰⪸2383=⫖↰⪸-191","layer":1},{"info":"⫖↰⪸2744⪘⫢⫖↰⪸-191=⫖↰⪸0","layer":0}]}
+{"id":327,"expression_no_base_symbol":"(∥⊫$3565$)⪛(⊥$2748$)","expression":"(∥⊫⫖↰⪸2091)⪛(⊥⫖↰⪸1710)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3565,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2748,"base":12}}},"used_operators":["uFcxV4UQCh","P8v4zCKN1o","Q3PJZHRvZv"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3565","layer":2},{"info":"compute unary expreesion, input=3565, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4433","layer":1},{"info":"number node, value=2748","layer":2},{"info":"compute unary expreesion, input=2748, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4433, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∥⊫⫖↰⪸2091)⪛(⊥⫖↰⪸1710)=NaN","reverse_text":"NaN=(∥⊫⫖↰⪸2091)⪛(⊥⫖↰⪸1710)","cot":[{"info":"∥⊫⫖↰⪸2091=⫖↰⪸2695","layer":1},{"info":"⊥⫖↰⪸1710=NaN","layer":1},{"info":"⫖↰⪸2695⪛NaN=NaN","layer":0}]}
+{"id":328,"expression_no_base_symbol":"($6687$↺$1505$)⋓$1821$↬$2163$","expression":"(⫖↰⪸3A53↺⫖↰⪸A55)⋓⫖↰⪸1079↬⫖↰⪸1303","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6687,"base":12},"right_expr":{"type":"numeric_atoms","value":1505,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1821,"base":12},"right_expr":{"type":"numeric_atoms","value":2163,"base":12}}},"used_operators":["T2fj7uvVaJ","7j4O788W3g","B5M0gjZbta"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6687","layer":2},{"info":"number node, value=1505","layer":2},{"info":"compute binary expreesion, left_input=6687, right_input=1505, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1505","layer":1},{"info":"number node, value=1821","layer":2},{"info":"number node, value=2163","layer":2},{"info":"compute binary expreesion, left_input=1821, right_input=2163, 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=1505, 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":12,"result_base":12,"text":"(⫖↰⪸3A53↺⫖↰⪸A55)⋓⫖↰⪸1079↬⫖↰⪸1303=NaN","reverse_text":"NaN=(⫖↰⪸3A53↺⫖↰⪸A55)⋓⫖↰⪸1079↬⫖↰⪸1303","cot":[{"info":"⫖↰⪸3A53↺⫖↰⪸A55=⫖↰⪸A55","layer":1},{"info":"⫖↰⪸1079↬⫖↰⪸1303=NaN","layer":1},{"info":"⫖↰⪸A55⋓NaN=NaN","layer":0}]}
+{"id":329,"expression_no_base_symbol":"⩦⩻⨪($1461$⋫)","expression":"⩦⩻⨪(⫖↰⪸A19⋫)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1464,"operation_count":2,"complexity_ratio":732.0,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1461,"base":12}}},"used_operators":["2td37pGCOC","JL8yIekQnl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x"],"result":"⫖↰⪸A19","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1461","layer":2},{"info":"compute unary expreesion, input=1461, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1461","layer":1},{"info":"compute unary expreesion, input=1461, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1461","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪(⫖↰⪸A19⋫)=⫖↰⪸A19","reverse_text":"⫖↰⪸A19=⩦⩻⨪(⫖↰⪸A19⋫)","cot":[{"info":"⫖↰⪸A19⋫=⫖↰⪸A19","layer":1},{"info":"⩦⩻⨪⫖↰⪸A19=⫖↰⪸A19","layer":0}]}
+{"id":330,"expression_no_base_symbol":"($1194$∲⫓$1481$)%$4950$⪛$4403$","expression":"(⫖↰⪸836∲⫓⫖↰⪸A35)%⫖↰⪸2A46⪛⫖↰⪸266B","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1194,"base":12},"right_expr":{"type":"numeric_atoms","value":1481,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4950,"base":12},"right_expr":{"type":"numeric_atoms","value":4403,"base":12}}},"used_operators":["k8jYdgA6NY","i8ToyICDmI","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1194","layer":2},{"info":"number node, value=1481","layer":2},{"info":"compute binary expreesion, left_input=1194, right_input=1481, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=4950","layer":2},{"info":"number node, value=4403","layer":2},{"info":"compute binary expreesion, left_input=4950, right_input=4403, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=547","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=547, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸836∲⫓⫖↰⪸A35)%⫖↰⪸2A46⪛⫖↰⪸266B=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸836∲⫓⫖↰⪸A35)%⫖↰⪸2A46⪛⫖↰⪸266B","cot":[{"info":"⫖↰⪸836∲⫓⫖↰⪸A35=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2A46⪛⫖↰⪸266B=⫖↰⪸397","layer":1},{"info":"⫖↰⪸0%⫖↰⪸397=⫖↰⪸0","layer":0}]}
+{"id":331,"expression_no_base_symbol":"$1623$≧⫂∧$2529$⊉≛↸($1723$≋⫹)","expression":"⫖↰⪸B33≧⫂∧⫖↰⪸1569⊉≛↸(⫖↰⪸BB7≋⫹)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1623,"base":12},"right_expr":{"type":"numeric_atoms","value":2529,"base":12}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1723,"base":12}}},"used_operators":["DZ8iAZOCBD","Ph9nP6C5qx","N41Kp7NANJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸2468","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1623","layer":2},{"info":"number node, value=2529","layer":2},{"info":"compute binary expreesion, left_input=1623, right_input=2529, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2056","layer":1},{"info":"number node, value=1723","layer":2},{"info":"compute unary expreesion, input=1723, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3446","layer":1},{"info":"compute binary expreesion, left_input=2056, right_input=-3446, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4112","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸B33≧⫂∧⫖↰⪸1569⊉≛↸(⫖↰⪸BB7≋⫹)=⫖↰⪸2468","reverse_text":"⫖↰⪸2468=⫖↰⪸B33≧⫂∧⫖↰⪸1569⊉≛↸(⫖↰⪸BB7≋⫹)","cot":[{"info":"⫖↰⪸B33≧⫂∧⫖↰⪸1569=⫖↰⪸1234","layer":1},{"info":"⫖↰⪸BB7≋⫹=⫖↰⪸-1BB2","layer":1},{"info":"⫖↰⪸1234⊉≛↸⫖↰⪸-1BB2=⫖↰⪸2468","layer":0}]}
+{"id":332,"expression_no_base_symbol":"$2006$≎⊠⪸$1552$⋷$2825$⨳⩥⨓$2604$","expression":"⫖↰⪸11B2≎⊠⪸⫖↰⪸A94⋷⫖↰⪸1775⨳⩥⨓⫖↰⪸1610","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":276,"operation_count":3,"complexity_ratio":92.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2006,"base":12},"right_expr":{"type":"numeric_atoms","value":1552,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2825,"base":12},"right_expr":{"type":"numeric_atoms","value":2604,"base":12}}},"used_operators":["23Mk6UjR3U","bJkvcejdHO","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸-210797","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2006","layer":2},{"info":"number node, value=1552","layer":2},{"info":"compute binary expreesion, left_input=2006, right_input=1552, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=519081","layer":1},{"info":"number node, value=2825","layer":2},{"info":"number node, value=2604","layer":2},{"info":"compute binary expreesion, left_input=2825, right_input=2604, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-221","layer":1},{"info":"compute binary expreesion, left_input=519081, right_input=-221, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-519523","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸11B2≎⊠⪸⫖↰⪸A94⋷⫖↰⪸1775⨳⩥⨓⫖↰⪸1610=⫖↰⪸-210797","reverse_text":"⫖↰⪸-210797=⫖↰⪸11B2≎⊠⪸⫖↰⪸A94⋷⫖↰⪸1775⨳⩥⨓⫖↰⪸1610","cot":[{"info":"⫖↰⪸11B2≎⊠⪸⫖↰⪸A94=⫖↰⪸210489","layer":1},{"info":"⫖↰⪸1775⨳⩥⨓⫖↰⪸1610=⫖↰⪸-165","layer":1},{"info":"⫖↰⪸210489⋷⫖↰⪸-165=⫖↰⪸-210797","layer":0}]}
+{"id":333,"expression_no_base_symbol":"($5133$⫸⊐$3267$)⩤","expression":"(⫖↰⪸2B79⫸⊐⫖↰⪸1A83)⩤","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5133,"base":12},"right_expr":{"type":"numeric_atoms","value":3267,"base":12}}},"used_operators":["Z2TMIBDE3Q","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸-75A7","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5133","layer":2},{"info":"number node, value=3267","layer":2},{"info":"compute binary expreesion, left_input=5133, right_input=3267, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12943","layer":1},{"info":"compute unary expreesion, input=12943, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-12943","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2B79⫸⊐⫖↰⪸1A83)⩤=⫖↰⪸-75A7","reverse_text":"⫖↰⪸-75A7=(⫖↰⪸2B79⫸⊐⫖↰⪸1A83)⩤","cot":[{"info":"⫖↰⪸2B79⫸⊐⫖↰⪸1A83=⫖↰⪸75A7","layer":1},{"info":"⫖↰⪸75A7⩤=⫖↰⪸-75A7","layer":0}]}
+{"id":334,"expression_no_base_symbol":"⪝⪂⫅(+⊝⨔$2121$)","expression":"⪝⪂⫅(+⊝⨔⫖↰⪸1289)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":190,"operation_count":2,"complexity_ratio":95.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2121,"base":12}}},"used_operators":["XTarYq4gQB","DhbWaqg5eL"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫖↰⪸-A9586","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2121","layer":2},{"info":"compute unary expreesion, input=2121, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute unary expreesion, input=1522, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-223734","layer":0}],"base":12,"result_base":12,"text":"⪝⪂⫅(+⊝⨔⫖↰⪸1289)=⫖↰⪸-A9586","reverse_text":"⫖↰⪸-A9586=⪝⪂⫅(+⊝⨔⫖↰⪸1289)","cot":[{"info":"+⊝⨔⫖↰⪸1289=⫖↰⪸A6A","layer":1},{"info":"⪝⪂⫅⫖↰⪸A6A=⫖↰⪸-A9586","layer":0}]}
+{"id":335,"expression_no_base_symbol":"∂($5284$⇼⇔∾$1544$)","expression":"∂(⫖↰⪸3084⇼⇔∾⫖↰⪸A88)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":419,"operation_count":2,"complexity_ratio":209.5,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5284,"base":12},"right_expr":{"type":"numeric_atoms","value":1544,"base":12}}},"used_operators":["Uaa54Peajs","tifHPKVTfV"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸2018","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5284","layer":2},{"info":"number node, value=1544","layer":2},{"info":"compute binary expreesion, left_input=5284, right_input=1544, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3740","layer":1},{"info":"compute unary expreesion, input=-3740, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=3476","layer":0}],"base":12,"result_base":12,"text":"∂(⫖↰⪸3084⇼⇔∾⫖↰⪸A88)=⫖↰⪸2018","reverse_text":"⫖↰⪸2018=∂(⫖↰⪸3084⇼⇔∾⫖↰⪸A88)","cot":[{"info":"⫖↰⪸3084⇼⇔∾⫖↰⪸A88=⫖↰⪸-21B8","layer":1},{"info":"∂⫖↰⪸-21B8=⫖↰⪸2018","layer":0}]}
+{"id":336,"expression_no_base_symbol":"-$2886$⫸⊐$3185$","expression":"-⫖↰⪸1806⫸⊐⫖↰⪸1A15","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2886,"base":12},"right_expr":{"type":"numeric_atoms","value":3185,"base":12}}},"used_operators":["t8gj7n24qd","mqXw5SEYmG"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸-7373","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2886","layer":2},{"info":"number node, value=3185","layer":2},{"info":"compute binary expreesion, left_input=2886, right_input=3185, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12615","layer":1},{"info":"compute unary expreesion, input=12615, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-12615","layer":0}],"base":12,"result_base":12,"text":"-⫖↰⪸1806⫸⊐⫖↰⪸1A15=⫖↰⪸-7373","reverse_text":"⫖↰⪸-7373=-⫖↰⪸1806⫸⊐⫖↰⪸1A15","cot":[{"info":"⫖↰⪸1806⫸⊐⫖↰⪸1A15=⫖↰⪸7373","layer":1},{"info":"-⫖↰⪸7373=⫖↰⪸-7373","layer":0}]}
+{"id":337,"expression_no_base_symbol":"($6476$⨎$1474$)≧⫂∧$1376$∀⇚≩$1586$","expression":"(⫖↰⪸38B8⨎⫖↰⪸A2A)≧⫂∧⫖↰⪸968∀⇚≩⫖↰⪸B02","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9634,"operation_count":3,"complexity_ratio":3211.3333333333335,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6476,"base":12},"right_expr":{"type":"numeric_atoms","value":1474,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1376,"base":12},"right_expr":{"type":"numeric_atoms","value":1586,"base":12}}},"used_operators":["Ph9nP6C5qx","rJVOvQCfKK","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6476","layer":2},{"info":"number node, value=1474","layer":2},{"info":"compute binary expreesion, left_input=6476, right_input=1474, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1474","layer":1},{"info":"number node, value=1376","layer":2},{"info":"number node, value=1586","layer":2},{"info":"compute binary expreesion, left_input=1376, right_input=1586, 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=1474, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸38B8⨎⫖↰⪸A2A)≧⫂∧⫖↰⪸968∀⇚≩⫖↰⪸B02=NaN","reverse_text":"NaN=(⫖↰⪸38B8⨎⫖↰⪸A2A)≧⫂∧⫖↰⪸968∀⇚≩⫖↰⪸B02","cot":[{"info":"⫖↰⪸38B8⨎⫖↰⪸A2A=⫖↰⪸A2A","layer":1},{"info":"⫖↰⪸968∀⇚≩⫖↰⪸B02=NaN","layer":1},{"info":"⫖↰⪸A2A≧⫂∧NaN=NaN","layer":0}]}
+{"id":338,"expression_no_base_symbol":"($1262$∲⫓$1059$)⪢($3755$⋳⪒$2268$)","expression":"(⫖↰⪸892∲⫓⫖↰⪸743)⪢(⫖↰⪸220B⋳⪒⫖↰⪸1390)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4964,"operation_count":3,"complexity_ratio":1654.6666666666667,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1262,"base":12},"right_expr":{"type":"numeric_atoms","value":1059,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3755,"base":12},"right_expr":{"type":"numeric_atoms","value":2268,"base":12}}},"used_operators":["dWAJyo7jo9","i8ToyICDmI","12rbrZMWeM"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1262","layer":2},{"info":"number node, value=1059","layer":2},{"info":"compute binary expreesion, left_input=1262, right_input=1059, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=3755","layer":2},{"info":"number node, value=2268","layer":2},{"info":"compute binary expreesion, left_input=3755, right_input=2268, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4955","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=4955, 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":12,"result_base":12,"text":"(⫖↰⪸892∲⫓⫖↰⪸743)⪢(⫖↰⪸220B⋳⪒⫖↰⪸1390)=NaN","reverse_text":"NaN=(⫖↰⪸892∲⫓⫖↰⪸743)⪢(⫖↰⪸220B⋳⪒⫖↰⪸1390)","cot":[{"info":"⫖↰⪸892∲⫓⫖↰⪸743=⫖↰⪸0","layer":1},{"info":"⫖↰⪸220B⋳⪒⫖↰⪸1390=⫖↰⪸2A4B","layer":1},{"info":"⫖↰⪸0⪢⫖↰⪸2A4B=NaN","layer":0}]}
+{"id":339,"expression_no_base_symbol":"∥⊫$4372$∼$1410$","expression":"∥⊫⫖↰⪸2644∼⫖↰⪸996","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":90,"operation_count":2,"complexity_ratio":45.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4372,"base":12},"right_expr":{"type":"numeric_atoms","value":1410,"base":12}}},"used_operators":["P8v4zCKN1o","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4372","layer":2},{"info":"number node, value=1410","layer":2},{"info":"compute binary expreesion, left_input=4372, 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":1},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∥⊫⫖↰⪸2644∼⫖↰⪸996=NaN","reverse_text":"NaN=∥⊫⫖↰⪸2644∼⫖↰⪸996","cot":[{"info":"⫖↰⪸2644∼⫖↰⪸996=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
+{"id":340,"expression_no_base_symbol":"$5148$↬$5898$⨓($7996$⋝⋈⪟$2571$)","expression":"⫖↰⪸2B90↬⫖↰⪸34B6⨓(⫖↰⪸4764⋝⋈⪟⫖↰⪸15A3)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8006,"operation_count":3,"complexity_ratio":2668.6666666666665,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5148,"base":12},"right_expr":{"type":"numeric_atoms","value":5898,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7996,"base":12},"right_expr":{"type":"numeric_atoms","value":2571,"base":12}}},"used_operators":["3ViojmjbAp","B5M0gjZbta","2DDjHMKMc0"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-4767","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5148","layer":2},{"info":"number node, value=5898","layer":2},{"info":"compute binary expreesion, left_input=5148, right_input=5898, 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=7996","layer":2},{"info":"number node, value=2571","layer":2},{"info":"compute binary expreesion, left_input=7996, right_input=2571, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7996","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7996, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7999","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2B90↬⫖↰⪸34B6⨓(⫖↰⪸4764⋝⋈⪟⫖↰⪸15A3)=⫖↰⪸-4767","reverse_text":"⫖↰⪸-4767=⫖↰⪸2B90↬⫖↰⪸34B6⨓(⫖↰⪸4764⋝⋈⪟⫖↰⪸15A3)","cot":[{"info":"⫖↰⪸2B90↬⫖↰⪸34B6=NaN","layer":1},{"info":"⫖↰⪸4764⋝⋈⪟⫖↰⪸15A3=⫖↰⪸4764","layer":1},{"info":"NaN⨓⫖↰⪸4764=⫖↰⪸-4767","layer":0}]}
+{"id":341,"expression_no_base_symbol":"($1439$⫥∨⫟$4180$)⪛($1336$⇼⇔∾$2312$)","expression":"(⫖↰⪸9BB⫥∨⫟⫖↰⪸2504)⪛(⫖↰⪸934⇼⇔∾⫖↰⪸1408)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":160,"operation_count":3,"complexity_ratio":53.333333333333336,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1439,"base":12},"right_expr":{"type":"numeric_atoms","value":4180,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1336,"base":12},"right_expr":{"type":"numeric_atoms","value":2312,"base":12}}},"used_operators":["uFcxV4UQCh","KYD54nUTWz","tifHPKVTfV"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1439","layer":2},{"info":"number node, value=4180","layer":2},{"info":"compute binary expreesion, left_input=1439, right_input=4180, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1336","layer":2},{"info":"number node, value=2312","layer":2},{"info":"compute binary expreesion, left_input=1336, right_input=2312, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=976","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=976, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸9BB⫥∨⫟⫖↰⪸2504)⪛(⫖↰⪸934⇼⇔∾⫖↰⪸1408)=NaN","reverse_text":"NaN=(⫖↰⪸9BB⫥∨⫟⫖↰⪸2504)⪛(⫖↰⪸934⇼⇔∾⫖↰⪸1408)","cot":[{"info":"⫖↰⪸9BB⫥∨⫟⫖↰⪸2504=NaN","layer":1},{"info":"⫖↰⪸934⇼⇔∾⫖↰⪸1408=⫖↰⪸694","layer":1},{"info":"NaN⪛⫖↰⪸694=NaN","layer":0}]}
+{"id":342,"expression_no_base_symbol":"↽≂(⨑⩽⪐$2413$)","expression":"↽≂(⨑⩽⪐⫖↰⪸1491)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2413,"base":12}}},"used_operators":["u6S6b8DprG","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫖↰⪸2588","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2413","layer":2},{"info":"compute unary expreesion, input=2413, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2140","layer":1},{"info":"compute unary expreesion, input=-2140, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=4280","layer":0}],"base":12,"result_base":12,"text":"↽≂(⨑⩽⪐⫖↰⪸1491)=⫖↰⪸2588","reverse_text":"⫖↰⪸2588=↽≂(⨑⩽⪐⫖↰⪸1491)","cot":[{"info":"⨑⩽⪐⫖↰⪸1491=⫖↰⪸-12A4","layer":1},{"info":"↽≂⫖↰⪸-12A4=⫖↰⪸2588","layer":0}]}
+{"id":343,"expression_no_base_symbol":"↔($2399$/$2623$)","expression":"↔(⫖↰⪸147B/⫖↰⪸1627)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":2,"complexity_ratio":5.5,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2399,"base":12},"right_expr":{"type":"numeric_atoms","value":2623,"base":12}}},"used_operators":["ruOEQAzv1W","XhwjNDsVaA"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z"],"result":"⫖↰⪸559","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2399","layer":2},{"info":"number node, value=2623","layer":2},{"info":"compute binary expreesion, left_input=2399, right_input=2623, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"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":0}],"base":12,"result_base":12,"text":"↔(⫖↰⪸147B/⫖↰⪸1627)=⫖↰⪸559","reverse_text":"⫖↰⪸559=↔(⫖↰⪸147B/⫖↰⪸1627)","cot":[{"info":"⫖↰⪸147B/⫖↰⪸1627=⫖↰⪸0","layer":1},{"info":"↔⫖↰⪸0=⫖↰⪸559","layer":0}]}
+{"id":344,"expression_no_base_symbol":"($1267$/$2793$)⇼⇔∾$1010$⪄$1001$","expression":"(⫖↰⪸897/⫖↰⪸1749)⇼⇔∾⫖↰⪸702⪄⫖↰⪸6B5","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":98,"operation_count":3,"complexity_ratio":32.666666666666664,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1267,"base":12},"right_expr":{"type":"numeric_atoms","value":2793,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1010,"base":12},"right_expr":{"type":"numeric_atoms","value":1001,"base":12}}},"used_operators":["tifHPKVTfV","XhwjNDsVaA","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫖↰⪸-72685","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1267","layer":2},{"info":"number node, value=2793","layer":2},{"info":"compute binary expreesion, left_input=1267, right_input=2793, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1010","layer":2},{"info":"number node, value=1001","layer":2},{"info":"compute binary expreesion, left_input=1010, right_input=1001, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-149573","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-149573, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-149573","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸897/⫖↰⪸1749)⇼⇔∾⫖↰⪸702⪄⫖↰⪸6B5=⫖↰⪸-72685","reverse_text":"⫖↰⪸-72685=(⫖↰⪸897/⫖↰⪸1749)⇼⇔∾⫖↰⪸702⪄⫖↰⪸6B5","cot":[{"info":"⫖↰⪸897/⫖↰⪸1749=⫖↰⪸0","layer":1},{"info":"⫖↰⪸702⪄⫖↰⪸6B5=⫖↰⪸-72685","layer":1},{"info":"⫖↰⪸0⇼⇔∾⫖↰⪸-72685=⫖↰⪸-72685","layer":0}]}
+{"id":345,"expression_no_base_symbol":"$1209$∑⇟⊟$1741$⨵⪆$8700$⨰$6113$","expression":"⫖↰⪸849∑⇟⊟⫖↰⪸1011⨵⪆⫖↰⪸5050⨰⫖↰⪸3655","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1209,"base":12},"right_expr":{"type":"numeric_atoms","value":1741,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":8700,"base":12},"right_expr":{"type":"numeric_atoms","value":6113,"base":12}}},"used_operators":["2DQ55sFlQl","U7g4x0WXJJ","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1209","layer":2},{"info":"number node, value=1741","layer":2},{"info":"compute binary expreesion, left_input=1209, right_input=1741, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=8700","layer":2},{"info":"number node, value=6113","layer":2},{"info":"compute binary expreesion, left_input=8700, right_input=6113, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2597","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2597, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸849∑⇟⊟⫖↰⪸1011⨵⪆⫖↰⪸5050⨰⫖↰⪸3655=⫖↰⪸114","reverse_text":"⫖↰⪸114=⫖↰⪸849∑⇟⊟⫖↰⪸1011⨵⪆⫖↰⪸5050⨰⫖↰⪸3655","cot":[{"info":"⫖↰⪸849∑⇟⊟⫖↰⪸1011=NaN","layer":1},{"info":"⫖↰⪸5050⨰⫖↰⪸3655=⫖↰⪸1605","layer":1},{"info":"NaN⨵⪆⫖↰⪸1605=⫖↰⪸114","layer":0}]}
+{"id":346,"expression_no_base_symbol":"⊙↵-($1315$⊠≄⫣)","expression":"⊙↵-(⫖↰⪸917⊠≄⫣)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1315,"base":12}}},"used_operators":["oWn0xqSxBt","DIvbN7qnHd"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1315","layer":2},{"info":"compute unary expreesion, input=1315, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⊙↵-(⫖↰⪸917⊠≄⫣)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⊙↵-(⫖↰⪸917⊠≄⫣)","cot":[{"info":"⫖↰⪸917⊠≄⫣=⫖↰⪸0","layer":1},{"info":"⊙↵-⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":347,"expression_no_base_symbol":"(∥⊫$4238$)⊭↱$4089$⪢$3296$","expression":"(∥⊫⫖↰⪸2552)⊭↱⫖↰⪸2449⪢⫖↰⪸1AA8","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5666,"operation_count":3,"complexity_ratio":1888.6666666666667,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4238,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4089,"base":12},"right_expr":{"type":"numeric_atoms","value":3296,"base":12}}},"used_operators":["COABgblf1C","P8v4zCKN1o","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4238","layer":2},{"info":"compute unary expreesion, input=4238, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5106","layer":1},{"info":"number node, value=4089","layer":2},{"info":"number node, value=3296","layer":2},{"info":"compute binary expreesion, left_input=4089, right_input=3296, 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=5106, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∥⊫⫖↰⪸2552)⊭↱⫖↰⪸2449⪢⫖↰⪸1AA8=NaN","reverse_text":"NaN=(∥⊫⫖↰⪸2552)⊭↱⫖↰⪸2449⪢⫖↰⪸1AA8","cot":[{"info":"∥⊫⫖↰⪸2552=⫖↰⪸2B56","layer":1},{"info":"⫖↰⪸2449⪢⫖↰⪸1AA8=NaN","layer":1},{"info":"⫖↰⪸2B56⊭↱NaN=NaN","layer":0}]}
+{"id":348,"expression_no_base_symbol":"$3368$∑⇟⊟$2586$∑⇟⊟$1253$∼$2286$","expression":"⫖↰⪸1B48∑⇟⊟⫖↰⪸15B6∑⇟⊟⫖↰⪸885∼⫖↰⪸13A6","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3368,"base":12},"right_expr":{"type":"numeric_atoms","value":2586,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1253,"base":12},"right_expr":{"type":"numeric_atoms","value":2286,"base":12}}},"used_operators":["U7g4x0WXJJ","DyGG3AbaNP"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3368","layer":2},{"info":"number node, value=2586","layer":2},{"info":"compute binary expreesion, left_input=3368, right_input=2586, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1253","layer":2},{"info":"number node, value=2286","layer":2},{"info":"compute binary expreesion, left_input=1253, right_input=2286, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1B48∑⇟⊟⫖↰⪸15B6∑⇟⊟⫖↰⪸885∼⫖↰⪸13A6=NaN","reverse_text":"NaN=⫖↰⪸1B48∑⇟⊟⫖↰⪸15B6∑⇟⊟⫖↰⪸885∼⫖↰⪸13A6","cot":[{"info":"⫖↰⪸1B48∑⇟⊟⫖↰⪸15B6=NaN","layer":1},{"info":"⫖↰⪸885∼⫖↰⪸13A6=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
+{"id":349,"expression_no_base_symbol":"($2588$∲⫓$1762$)⫌⩹⨱","expression":"(⫖↰⪸15B8∲⫓⫖↰⪸102A)⫌⩹⨱","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2588,"base":12},"right_expr":{"type":"numeric_atoms","value":1762,"base":12}}},"used_operators":["EBcxylXtPf","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸989","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2588","layer":2},{"info":"number node, value=1762","layer":2},{"info":"compute binary expreesion, left_input=2588, right_input=1762, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1401","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸15B8∲⫓⫖↰⪸102A)⫌⩹⨱=⫖↰⪸989","reverse_text":"⫖↰⪸989=(⫖↰⪸15B8∲⫓⫖↰⪸102A)⫌⩹⨱","cot":[{"info":"⫖↰⪸15B8∲⫓⫖↰⪸102A=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⫌⩹⨱=⫖↰⪸989","layer":0}]}
+{"id":350,"expression_no_base_symbol":"($3238$↺$5679$)∼($5323$⋷$7120$)","expression":"(⫖↰⪸1A5A↺⫖↰⪸3353)∼(⫖↰⪸30B7⋷⫖↰⪸4154)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":118,"operation_count":3,"complexity_ratio":39.333333333333336,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3238,"base":12},"right_expr":{"type":"numeric_atoms","value":5679,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5323,"base":12},"right_expr":{"type":"numeric_atoms","value":7120,"base":12}}},"used_operators":["DyGG3AbaNP","7j4O788W3g","23Mk6UjR3U"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3238","layer":2},{"info":"number node, value=5679","layer":2},{"info":"compute binary expreesion, left_input=3238, right_input=5679, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5679","layer":1},{"info":"number node, value=5323","layer":2},{"info":"number node, value=7120","layer":2},{"info":"compute binary expreesion, left_input=5323, right_input=7120, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8917","layer":1},{"info":"compute binary expreesion, left_input=5679, right_input=8917, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1A5A↺⫖↰⪸3353)∼(⫖↰⪸30B7⋷⫖↰⪸4154)=NaN","reverse_text":"NaN=(⫖↰⪸1A5A↺⫖↰⪸3353)∼(⫖↰⪸30B7⋷⫖↰⪸4154)","cot":[{"info":"⫖↰⪸1A5A↺⫖↰⪸3353=⫖↰⪸3353","layer":1},{"info":"⫖↰⪸30B7⋷⫖↰⪸4154=⫖↰⪸51B1","layer":1},{"info":"⫖↰⪸3353∼⫖↰⪸51B1=NaN","layer":0}]}
+{"id":351,"expression_no_base_symbol":"($1374$⊭∹↮)↙$1511$⪮%⊝$1003$","expression":"(⫖↰⪸966⊭∹↮)↙⫖↰⪸A5B⪮%⊝⫖↰⪸6B7","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3356,"operation_count":3,"complexity_ratio":1118.6666666666667,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1374,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1511,"base":12},"right_expr":{"type":"numeric_atoms","value":1003,"base":12}}},"used_operators":["yyfyN0ffXY","xNBdhnnwKq","IWmyXbctLI"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸-5966","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1374","layer":2},{"info":"compute unary expreesion, input=1374, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2748","layer":1},{"info":"number node, value=1511","layer":2},{"info":"number node, value=1003","layer":2},{"info":"compute binary expreesion, left_input=1511, right_input=1003, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3338","layer":1},{"info":"compute binary expreesion, left_input=2748, right_input=3338, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10014","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸966⊭∹↮)↙⫖↰⪸A5B⪮%⊝⫖↰⪸6B7=⫖↰⪸-5966","reverse_text":"⫖↰⪸-5966=(⫖↰⪸966⊭∹↮)↙⫖↰⪸A5B⪮%⊝⫖↰⪸6B7","cot":[{"info":"⫖↰⪸966⊭∹↮=⫖↰⪸1710","layer":1},{"info":"⫖↰⪸A5B⪮%⊝⫖↰⪸6B7=⫖↰⪸1B22","layer":1},{"info":"⫖↰⪸1710↙⫖↰⪸1B22=⫖↰⪸-5966","layer":0}]}
+{"id":352,"expression_no_base_symbol":"(↩$8691$)⨽(↥$7379$)","expression":"(↩⫖↰⪸5043)⨽(↥⫖↰⪸432B)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":66917,"operation_count":3,"complexity_ratio":22305.666666666668,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":8691,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":7379,"base":12}}},"used_operators":["8HhzD0ZcuI","jLgFTUHLKL","A8NUZmVepG"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","k8jYdgA6NY"],"result":"-Inf","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8691","layer":2},{"info":"compute unary expreesion, input=8691, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-66748","layer":1},{"info":"number node, value=7379","layer":2},{"info":"compute unary expreesion, input=7379, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=35","layer":1},{"info":"compute binary expreesion, left_input=-66748, right_input=35, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":0}],"base":12,"result_base":12,"text":"(↩⫖↰⪸5043)⨽(↥⫖↰⪸432B)=-Inf","reverse_text":"-Inf=(↩⫖↰⪸5043)⨽(↥⫖↰⪸432B)","cot":[{"info":"↩⫖↰⪸5043=⫖↰⪸-32764","layer":1},{"info":"↥⫖↰⪸432B=⫖↰⪸2B","layer":1},{"info":"⫖↰⪸-32764⨽⫖↰⪸2B=-Inf","layer":0}]}
+{"id":353,"expression_no_base_symbol":"($1306$⪨≂$1448$)∀⇚≩($5292$∧)","expression":"(⫖↰⪸90A⪨≂⫖↰⪸A08)∀⇚≩(⫖↰⪸3090∧)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1285,"operation_count":3,"complexity_ratio":428.3333333333333,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1306,"base":12},"right_expr":{"type":"numeric_atoms","value":1448,"base":12}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5292,"base":12}}},"used_operators":["LRNGc0VcxI","sdazOOVcIp","z63VuFQld9"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1306","layer":2},{"info":"number node, value=1448","layer":2},{"info":"compute binary expreesion, left_input=1306, right_input=1448, 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=-182","layer":1},{"info":"number node, value=5292","layer":2},{"info":"compute unary expreesion, input=5292, 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=-182, 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":12,"result_base":12,"text":"(⫖↰⪸90A⪨≂⫖↰⪸A08)∀⇚≩(⫖↰⪸3090∧)=NaN","reverse_text":"NaN=(⫖↰⪸90A⪨≂⫖↰⪸A08)∀⇚≩(⫖↰⪸3090∧)","cot":[{"info":"⫖↰⪸90A⪨≂⫖↰⪸A08=⫖↰⪸-132","layer":1},{"info":"⫖↰⪸3090∧=NaN","layer":1},{"info":"⫖↰⪸-132∀⇚≩NaN=NaN","layer":0}]}
+{"id":354,"expression_no_base_symbol":"⫓⪴($3596$⊉≛↸$2398$)","expression":"⫓��(⫖↰⪸20B8⊉≛↸⫖↰⪸147A)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7194,"operation_count":2,"complexity_ratio":3597.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3596,"base":12},"right_expr":{"type":"numeric_atoms","value":2398,"base":12}}},"used_operators":["eLxqMNBOBk","DZ8iAZOCBD"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸153A5454","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3596","layer":2},{"info":"number node, value=2398","layer":2},{"info":"compute binary expreesion, left_input=3596, right_input=2398, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7192","layer":1},{"info":"compute unary expreesion, input=7192, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=51724864","layer":0}],"base":12,"result_base":12,"text":"⫓⪴(⫖↰⪸20B8⊉≛↸⫖↰⪸147A)=⫖↰⪸153A5454","reverse_text":"⫖↰⪸153A5454=⫓⪴(⫖↰⪸20B8⊉≛↸⫖↰⪸147A)","cot":[{"info":"⫖↰⪸20B8⊉≛↸⫖↰⪸147A=⫖↰⪸41B4","layer":1},{"info":"⫓⪴⫖↰⪸41B4=⫖↰⪸153A5454","layer":0}]}
+{"id":355,"expression_no_base_symbol":"$6321$∑⇟⊟$3285$%$2747$⨟⋌⩍$1130$","expression":"⫖↰⪸37A9∑⇟⊟⫖↰⪸1A99%⫖↰⪸170B⨟⋌⩍⫖↰⪸7A2","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6321,"base":12},"right_expr":{"type":"numeric_atoms","value":3285,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2747,"base":12},"right_expr":{"type":"numeric_atoms","value":1130,"base":12}}},"used_operators":["k8jYdgA6NY","U7g4x0WXJJ","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6321","layer":2},{"info":"number node, value=3285","layer":2},{"info":"compute binary expreesion, left_input=6321, right_input=3285, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2747","layer":2},{"info":"number node, value=1130","layer":2},{"info":"compute binary expreesion, left_input=2747, right_input=1130, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸37A9∑⇟⊟⫖↰⪸1A99%⫖↰⪸170B⨟⋌⩍⫖↰⪸7A2=NaN","reverse_text":"NaN=⫖↰⪸37A9∑⇟⊟⫖↰⪸1A99%⫖↰⪸170B⨟⋌⩍⫖↰⪸7A2","cot":[{"info":"⫖↰⪸37A9∑⇟⊟⫖↰⪸1A99=NaN","layer":1},{"info":"⫖↰⪸170B⨟⋌⩍⫖↰⪸7A2=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
+{"id":356,"expression_no_base_symbol":"(⊙↵-$2050$)+⇶⊼($1160$⫡⨏$2997$)","expression":"(⊙↵-⫖↰⪸122A)+⇶⊼(⫖↰⪸808⫡⨏⫖↰⪸1899)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2104,"operation_count":3,"complexity_ratio":701.3333333333334,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2050,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1160,"base":12},"right_expr":{"type":"numeric_atoms","value":2997,"base":12}}},"used_operators":["TpPTUOHfaN","oWn0xqSxBt","QMFrweE19q"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2050","layer":2},{"info":"compute unary expreesion, input=2050, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=1160","layer":2},{"info":"number node, value=2997","layer":2},{"info":"compute binary expreesion, left_input=1160, right_input=2997, 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=12577","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=12577, 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":12,"result_base":12,"text":"(⊙↵-⫖↰⪸122A)+⇶⊼(⫖↰⪸808⫡⨏⫖↰⪸1899)=NaN","reverse_text":"NaN=(⊙↵-⫖↰⪸122A)+⇶⊼(⫖↰⪸808⫡⨏⫖↰⪸1899)","cot":[{"info":"⊙↵-⫖↰⪸122A=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸808⫡⨏⫖↰⪸1899=⫖↰⪸7341","layer":1},{"info":"⫖↰⪸-1+⇶⊼⫖↰⪸7341=NaN","layer":0}]}
+{"id":357,"expression_no_base_symbol":"$1704$⩚⊴⇥$2324$⫡⨏($2485$↪⪝)","expression":"⫖↰⪸BA0⩚⊴⇥⫖↰⪸1418⫡⨏(⫖↰⪸1531↪⪝)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":710,"operation_count":3,"complexity_ratio":236.66666666666666,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1704,"base":12},"right_expr":{"type":"numeric_atoms","value":2324,"base":12}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2485,"base":12}}},"used_operators":["QMFrweE19q","NTOWxs364D","l07mrZUIn9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0"],"result":"⫖↰⪸859B1616","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1704","layer":2},{"info":"number node, value=2324","layer":2},{"info":"compute binary expreesion, left_input=1704, right_input=2324, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4149","layer":1},{"info":"number node, value=2485","layer":2},{"info":"compute unary expreesion, input=2485, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=152037270","layer":1},{"info":"compute binary expreesion, left_input=-4149, right_input=152037270, 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=304054578","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸BA0⩚⊴⇥⫖↰⪸1418⫡⨏(⫖↰⪸1531↪⪝)=⫖↰⪸859B1616","reverse_text":"⫖↰⪸859B1616=⫖↰⪸BA0⩚⊴⇥⫖↰⪸1418⫡⨏(⫖↰⪸1531↪⪝)","cot":[{"info":"⫖↰⪸BA0⩚⊴⇥⫖↰⪸1418=⫖↰⪸-2499","layer":1},{"info":"⫖↰⪸1531↪⪝=⫖↰⪸42B00646","layer":1},{"info":"⫖↰⪸-2499⫡⨏⫖↰⪸42B00646=⫖↰⪸859B1616","layer":0}]}
+{"id":358,"expression_no_base_symbol":"(↔$2160$)⨽$1337$≭$2666$","expression":"(↔⫖↰⪸1300)⨽⫖↰⪸935≭⫖↰⪸1662","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1904,"operation_count":3,"complexity_ratio":634.6666666666666,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2160,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1337,"base":12},"right_expr":{"type":"numeric_atoms","value":2666,"base":12}}},"used_operators":["8HhzD0ZcuI","ruOEQAzv1W","rxpJgHHUmx"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2160","layer":2},{"info":"compute unary expreesion, input=2160, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1887","layer":1},{"info":"number node, value=1337","layer":2},{"info":"number node, value=2666","layer":2},{"info":"compute binary expreesion, left_input=1337, right_input=2666, 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=-1887, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↔⫖↰⪸1300)⨽⫖↰⪸935≭⫖↰⪸1662=NaN","reverse_text":"NaN=(↔⫖↰⪸1300)⨽⫖↰⪸935≭⫖↰⪸1662","cot":[{"info":"↔⫖↰⪸1300=⫖↰⪸-1113","layer":1},{"info":"⫖↰⪸935≭⫖↰⪸1662=NaN","layer":1},{"info":"⫖↰⪸-1113⨽NaN=NaN","layer":0}]}
+{"id":359,"expression_no_base_symbol":"(⩦⩻⨪$4065$)≹⇙⪍(↔$3750$)","expression":"(⩦⩻⨪⫖↰⪸2429)≹⇙⪍(↔⫖↰⪸2206)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4065,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3750,"base":12}}},"used_operators":["AHs5Up7iyr","2td37pGCOC","ruOEQAzv1W"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4065","layer":2},{"info":"compute unary expreesion, input=4065, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4065","layer":1},{"info":"number node, value=3750","layer":2},{"info":"compute unary expreesion, input=3750, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3477","layer":1},{"info":"compute binary expreesion, left_input=4065, right_input=-3477, 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":12,"result_base":12,"text":"(⩦⩻⨪⫖↰⪸2429)≹⇙⪍(↔⫖↰⪸2206)=NaN","reverse_text":"NaN=(⩦⩻⨪⫖↰⪸2429)≹⇙⪍(↔⫖↰⪸2206)","cot":[{"info":"⩦⩻⨪⫖↰⪸2429=⫖↰⪸2429","layer":1},{"info":"↔⫖↰⪸2206=⫖↰⪸-2019","layer":1},{"info":"⫖↰⪸2429≹⇙⪍⫖↰⪸-2019=NaN","layer":0}]}
+{"id":360,"expression_no_base_symbol":"$4202$⇼⇔∾$2388$⇼⇔∾$1270$⊴$5715$","expression":"⫖↰⪸2522⇼⇔∾⫖↰⪸1470⇼⇔∾⫖↰⪸89A⊴⫖↰⪸3383","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5725,"operation_count":3,"complexity_ratio":1908.3333333333333,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4202,"base":12},"right_expr":{"type":"numeric_atoms","value":2388,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1270,"base":12},"right_expr":{"type":"numeric_atoms","value":5715,"base":12}}},"used_operators":["tifHPKVTfV","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4202","layer":2},{"info":"number node, value=2388","layer":2},{"info":"compute binary expreesion, left_input=4202, right_input=2388, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1814","layer":1},{"info":"number node, value=1270","layer":2},{"info":"number node, value=5715","layer":2},{"info":"compute binary expreesion, left_input=1270, right_input=5715, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1814, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2522⇼⇔∾⫖↰⪸1470⇼⇔∾⫖↰⪸89A⊴⫖↰⪸3383=NaN","reverse_text":"NaN=⫖↰⪸2522⇼⇔∾⫖↰⪸1470⇼⇔∾⫖↰⪸89A⊴⫖↰⪸3383","cot":[{"info":"⫖↰⪸2522⇼⇔∾⫖↰⪸1470=⫖↰⪸-1072","layer":1},{"info":"⫖↰⪸89A⊴⫖↰⪸3383=NaN","layer":1},{"info":"⫖↰⪸-1072⇼⇔∾NaN=NaN","layer":0}]}
+{"id":361,"expression_no_base_symbol":"($2079$%$2252$)⪢($1687$⪘⫢$1630$)","expression":"(⫖↰⪸1253%⫖↰⪸1378)⪢(⫖↰⪸B87⪘⫢⫖↰⪸B3A)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3266,"operation_count":3,"complexity_ratio":1088.6666666666667,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2079,"base":12},"right_expr":{"type":"numeric_atoms","value":2252,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1687,"base":12},"right_expr":{"type":"numeric_atoms","value":1630,"base":12}}},"used_operators":["dWAJyo7jo9","k8jYdgA6NY","oacrs7FA3X"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2079","layer":2},{"info":"number node, value=2252","layer":2},{"info":"compute binary expreesion, left_input=2079, right_input=2252, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2079","layer":1},{"info":"number node, value=1687","layer":2},{"info":"number node, value=1630","layer":2},{"info":"compute binary expreesion, left_input=1687, right_input=1630, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3250","layer":1},{"info":"compute binary expreesion, left_input=2079, right_input=3250, 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":12,"result_base":12,"text":"(⫖↰⪸1253%⫖↰⪸1378)⪢(⫖↰⪸B87⪘⫢⫖↰⪸B3A)=NaN","reverse_text":"NaN=(⫖↰⪸1253%⫖↰⪸1378)⪢(⫖↰⪸B87⪘⫢⫖↰⪸B3A)","cot":[{"info":"⫖↰⪸1253%⫖↰⪸1378=⫖↰⪸1253","layer":1},{"info":"⫖↰⪸B87⪘⫢⫖↰⪸B3A=⫖↰⪸1A6A","layer":1},{"info":"⫖↰⪸1253⪢⫖↰⪸1A6A=NaN","layer":0}]}
+{"id":362,"expression_no_base_symbol":"($1331$⪄$2214$)⋥≓≎(⨰⫟⨤$5264$)","expression":"(⫖↰⪸92B⪄⫖↰⪸1346)⋥≓≎(⨰⫟⨤⫖↰⪸3068)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20313,"operation_count":3,"complexity_ratio":6771.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1331,"base":12},"right_expr":{"type":"numeric_atoms","value":2214,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5264,"base":12}}},"used_operators":["Qy55tPpLXF","SUmda5xLS4","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1331","layer":2},{"info":"number node, value=2214","layer":2},{"info":"compute binary expreesion, left_input=1331, right_input=2214, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-201933","layer":1},{"info":"number node, value=5264","layer":2},{"info":"compute unary expreesion, input=5264, 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=-201933, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸92B⪄⫖↰⪸1346)⋥≓≎(⨰⫟⨤⫖↰⪸3068)=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⫖↰⪸92B⪄⫖↰⪸1346)⋥≓≎(⨰⫟⨤⫖↰⪸3068)","cot":[{"info":"⫖↰⪸92B⪄⫖↰⪸1346=⫖↰⪸-98A39","layer":1},{"info":"⨰⫟⨤⫖↰⪸3068=NaN","layer":1},{"info":"⫖↰⪸-98A39⋥≓≎NaN=⫖↰⪸57","layer":0}]}
+{"id":363,"expression_no_base_symbol":"$3095$⋳⪒$1984$+(⊄⩳↩$3859$)","expression":"⫖↰⪸195B⋳⪒⫖↰⪸1194+(⊄⩳↩⫖↰⪸2297)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3095,"base":12},"right_expr":{"type":"numeric_atoms","value":1984,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3859,"base":12}}},"used_operators":["W4YGzv6Whe","12rbrZMWeM","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-4522","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3095","layer":2},{"info":"number node, value=1984","layer":2},{"info":"compute binary expreesion, left_input=3095, right_input=1984, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3919","layer":1},{"info":"number node, value=3859","layer":2},{"info":"compute unary expreesion, input=3859, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-11577","layer":1},{"info":"compute binary expreesion, left_input=3919, right_input=-11577, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-7658","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸195B⋳⪒⫖↰⪸1194+(⊄⩳↩⫖↰⪸2297)=⫖↰⪸-4522","reverse_text":"⫖↰⪸-4522=⫖↰⪸195B⋳⪒⫖↰⪸1194+(⊄⩳↩⫖↰⪸2297)","cot":[{"info":"⫖↰⪸195B⋳⪒⫖↰⪸1194=⫖↰⪸2327","layer":1},{"info":"⊄⩳↩⫖↰⪸2297=⫖↰⪸-6849","layer":1},{"info":"⫖↰⪸2327+⫖↰⪸-6849=⫖↰⪸-4522","layer":0}]}
+{"id":364,"expression_no_base_symbol":"↯⪼$3168$≹⇙⪍$6123$","expression":"↯⪼⫖↰⪸1A00≹⇙⪍⫖↰⪸3663","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":32,"operation_count":2,"complexity_ratio":16.0,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3168,"base":12},"right_expr":{"type":"numeric_atoms","value":6123,"base":12}}},"used_operators":["8jW3W4yZS5","AHs5Up7iyr"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3168","layer":2},{"info":"number node, value=6123","layer":2},{"info":"compute binary expreesion, left_input=3168, right_input=6123, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":12,"result_base":12,"text":"↯⪼⫖↰⪸1A00≹⇙⪍⫖↰⪸3663=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=↯⪼⫖↰⪸1A00≹⇙⪍⫖↰⪸3663","cot":[{"info":"⫖↰⪸1A00≹⇙⪍⫖↰⪸3663=NaN","layer":1},{"info":"↯⪼NaN=⫖↰⪸-19","layer":0}]}
+{"id":365,"expression_no_base_symbol":"⋗⩬⋾$1347$⪢$1897$","expression":"⋗⩬⋾⫖↰⪸943⪢⫖↰⪸1121","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1900,"operation_count":2,"complexity_ratio":950.0,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1347,"base":12},"right_expr":{"type":"numeric_atoms","value":1897,"base":12}}},"used_operators":["DpFCA1CohY","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1347","layer":2},{"info":"number node, value=1897","layer":2},{"info":"compute binary expreesion, left_input=1347, right_input=1897, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⋗⩬⋾⫖↰⪸943⪢⫖↰⪸1121=NaN","reverse_text":"NaN=⋗⩬⋾⫖↰⪸943⪢⫖↰⪸1121","cot":[{"info":"⫖↰⪸943⪢⫖↰⪸1121=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
+{"id":366,"expression_no_base_symbol":"$4790$≹⇙⪍$3005$⪮%⊝($1987$⪛$2012$)","expression":"⫖↰⪸2932≹⇙⪍⫖↰⪸18A5⪮%⊝(⫖↰⪸1197⪛⫖↰⪸11B8)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4790,"base":12},"right_expr":{"type":"numeric_atoms","value":3005,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1987,"base":12},"right_expr":{"type":"numeric_atoms","value":2012,"base":12}}},"used_operators":["IWmyXbctLI","AHs5Up7iyr","uFcxV4UQCh"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4790","layer":2},{"info":"number node, value=3005","layer":2},{"info":"compute binary expreesion, left_input=4790, right_input=3005, 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=1987","layer":2},{"info":"number node, value=2012","layer":2},{"info":"compute binary expreesion, left_input=1987, right_input=2012, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1987","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1987, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2932≹⇙⪍⫖↰⪸18A5⪮%⊝(⫖↰⪸1197⪛⫖↰⪸11B8)=NaN","reverse_text":"NaN=⫖↰⪸2932≹⇙⪍⫖↰⪸18A5⪮%⊝(⫖↰⪸1197⪛⫖↰⪸11B8)","cot":[{"info":"⫖↰⪸2932≹⇙⪍⫖↰⪸18A5=NaN","layer":1},{"info":"⫖↰⪸1197⪛⫖↰⪸11B8=⫖↰⪸1197","layer":1},{"info":"NaN⪮%⊝⫖↰⪸1197=NaN","layer":0}]}
+{"id":367,"expression_no_base_symbol":"⇁⨣⪵($5495$∲⫓$3806$)","expression":"⇁⨣⪵(⫖↰⪸321B∲⫓⫖↰⪸2252)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5495,"base":12},"right_expr":{"type":"numeric_atoms","value":3806,"base":12}}},"used_operators":["inkyxCbjAn","i8ToyICDmI"],"dependent_operators":["B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5495","layer":2},{"info":"number node, value=3806","layer":2},{"info":"compute binary expreesion, left_input=5495, right_input=3806, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⇁⨣⪵(⫖↰⪸321B∲⫓⫖↰⪸2252)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⇁⨣⪵(⫖↰⪸321B∲⫓⫖↰⪸2252)","cot":[{"info":"⫖↰⪸321B∲⫓⫖↰⪸2252=⫖↰⪸0","layer":1},{"info":"⇁⨣⪵⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":368,"expression_no_base_symbol":"($1940$⩤)⪄($3082$↛⩡⫤)","expression":"(⫖↰⪸1158⩤)⪄(⫖↰⪸194A↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9473,"operation_count":3,"complexity_ratio":3157.6666666666665,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1940,"base":12}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3082,"base":12}}},"used_operators":["SUmda5xLS4","Z2TMIBDE3Q","FU0Cs4j7VP"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1940","layer":2},{"info":"compute unary expreesion, input=1940, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1940","layer":1},{"info":"number node, value=3082","layer":2},{"info":"compute unary expreesion, input=3082, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-461471","layer":1},{"info":"compute binary expreesion, left_input=-1940, right_input=-461471, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1158⩤)⪄(⫖↰⪸194A↛⩡⫤)=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=(⫖↰⪸1158⩤)⪄(⫖↰⪸194A↛⩡⫤)","cot":[{"info":"⫖↰⪸1158⩤=⫖↰⪸-1158","layer":1},{"info":"⫖↰⪸194A↛⩡⫤=⫖↰⪸-1A307B","layer":1},{"info":"⫖↰⪸-1158⪄⫖↰⪸-1A307B=⫖↰⪸2377","layer":0}]}
+{"id":369,"expression_no_base_symbol":"↯⪼($1706$⫥∨⫟$1895$)","expression":"↯⪼(⫖↰⪸BA2⫥∨⫟⫖↰⪸111B)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":185,"operation_count":2,"complexity_ratio":92.5,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1706,"base":12},"right_expr":{"type":"numeric_atoms","value":1895,"base":12}}},"used_operators":["8jW3W4yZS5","KYD54nUTWz"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1706","layer":2},{"info":"number node, value=1895","layer":2},{"info":"compute binary expreesion, left_input=1706, right_input=1895, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":12,"result_base":12,"text":"↯⪼(⫖↰⪸BA2⫥∨⫟⫖↰⪸111B)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=↯⪼(⫖↰⪸BA2⫥∨⫟⫖↰⪸111B)","cot":[{"info":"⫖↰⪸BA2⫥∨⫟⫖↰⪸111B=NaN","layer":1},{"info":"↯⪼NaN=⫖↰⪸-19","layer":0}]}
+{"id":370,"expression_no_base_symbol":"$3511$∀⇚≩$7436$⨰($3318$⋥≓≎$5267$)","expression":"⫖↰⪸2047∀⇚≩⫖↰⪸4378⨰(⫖↰⪸1B06⋥≓≎⫖↰⪸306B)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24587,"operation_count":3,"complexity_ratio":8195.666666666666,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3511,"base":12},"right_expr":{"type":"numeric_atoms","value":7436,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3318,"base":12},"right_expr":{"type":"numeric_atoms","value":5267,"base":12}}},"used_operators":["eewbuw0ToL","LRNGc0VcxI","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3511","layer":2},{"info":"number node, value=7436","layer":2},{"info":"compute binary expreesion, left_input=3511, right_input=7436, 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=3318","layer":2},{"info":"number node, value=5267","layer":2},{"info":"compute binary expreesion, left_input=3318, right_input=5267, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7249","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7249, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2047∀⇚≩⫖↰⪸4378⨰(⫖↰⪸1B06⋥≓≎⫖↰⪸306B)=NaN","reverse_text":"NaN=⫖↰⪸2047∀⇚≩⫖↰⪸4378⨰(⫖↰⪸1B06⋥≓≎⫖↰⪸306B)","cot":[{"info":"⫖↰⪸2047∀⇚≩⫖↰⪸4378=NaN","layer":1},{"info":"⫖↰⪸1B06⋥≓≎⫖↰⪸306B=⫖↰⪸4241","layer":1},{"info":"NaN⨰⫖↰⪸4241=NaN","layer":0}]}
+{"id":371,"expression_no_base_symbol":"≉$1009$⨎$2040$","expression":"≉⫖↰⪸701⨎⫖↰⪸1220","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1009,"base":12},"right_expr":{"type":"numeric_atoms","value":2040,"base":12}}},"used_operators":["e1ybzncUwg","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸15A3","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1009","layer":2},{"info":"number node, value=2040","layer":2},{"info":"compute binary expreesion, left_input=1009, right_input=2040, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2040","layer":1},{"info":"compute unary expreesion, input=2040, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2571","layer":0}],"base":12,"result_base":12,"text":"≉⫖↰⪸701⨎⫖↰⪸1220=⫖↰⪸15A3","reverse_text":"⫖↰⪸15A3=≉⫖↰⪸701⨎⫖↰⪸1220","cot":[{"info":"⫖↰⪸701⨎⫖↰⪸1220=⫖↰⪸1220","layer":1},{"info":"≉⫖↰⪸1220=⫖↰⪸15A3","layer":0}]}
+{"id":372,"expression_no_base_symbol":"(⊙↵-$3703$)≎⊠⪸($1622$+⇶⊼$3953$)","expression":"(⊙↵-⫖↰⪸2187)≎⊠⪸(⫖↰⪸B32+⇶⊼⫖↰⪸2355)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3761,"operation_count":3,"complexity_ratio":1253.6666666666667,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3703,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1622,"base":12},"right_expr":{"type":"numeric_atoms","value":3953,"base":12}}},"used_operators":["bJkvcejdHO","oWn0xqSxBt","TpPTUOHfaN"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3703","layer":2},{"info":"compute unary expreesion, input=3703, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=1622","layer":2},{"info":"number node, value=3953","layer":2},{"info":"compute binary expreesion, left_input=1622, right_input=3953, 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=-1, 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":12,"result_base":12,"text":"(⊙↵-⫖↰⪸2187)≎⊠⪸(⫖↰⪸B32+⇶⊼⫖↰⪸2355)=⫖↰⪸57","reverse_text":"⫖��⪸57=(⊙↵-⫖↰⪸2187)≎⊠⪸(⫖↰⪸B32+⇶⊼⫖↰⪸2355)","cot":[{"info":"⊙↵-⫖↰⪸2187=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸B32+⇶⊼⫖↰⪸2355=NaN","layer":1},{"info":"⫖↰⪸-1≎⊠⪸NaN=⫖↰⪸57","layer":0}]}
+{"id":373,"expression_no_base_symbol":"⪲⇎$1145$⨟⋌⩍$7588$","expression":"⪲⇎⫖↰⪸7B5⨟⋌⩍⫖↰⪸4484","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1145,"base":12},"right_expr":{"type":"numeric_atoms","value":7588,"base":12}}},"used_operators":["XPYlsWDdGa","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1145","layer":2},{"info":"number node, value=7588","layer":2},{"info":"compute binary expreesion, left_input=1145, right_input=7588, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⪲⇎⫖↰⪸7B5⨟⋌⩍⫖↰⪸4484=NaN","reverse_text":"NaN=⪲⇎⫖↰⪸7B5⨟⋌⩍⫖↰⪸4484","cot":[{"info":"⫖↰⪸7B5⨟⋌⩍⫖↰⪸4484=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
+{"id":374,"expression_no_base_symbol":"(≉$1318$)%$1198$⩷∴$2709$","expression":"(≉⫖↰⪸91A)%⫖↰⪸83A⩷∴⫖↰⪸1699","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1318,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1198,"base":12},"right_expr":{"type":"numeric_atoms","value":2709,"base":12}}},"used_operators":["k8jYdgA6NY","e1ybzncUwg","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-845","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1318","layer":2},{"info":"compute unary expreesion, input=1318, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1849","layer":1},{"info":"number node, value=1198","layer":2},{"info":"number node, value=2709","layer":2},{"info":"compute binary expreesion, left_input=1198, right_input=2709, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3054","layer":1},{"info":"compute binary expreesion, left_input=1849, right_input=-3054, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-1205","layer":0}],"base":12,"result_base":12,"text":"(≉⫖↰⪸91A)%⫖↰⪸83A⩷∴⫖↰⪸1699=⫖↰⪸-845","reverse_text":"⫖↰⪸-845=(≉⫖↰⪸91A)%⫖↰⪸83A⩷∴⫖↰⪸1699","cot":[{"info":"≉⫖↰⪸91A=⫖↰⪸10A1","layer":1},{"info":"⫖↰⪸83A⩷∴⫖↰⪸1699=⫖↰⪸-1926","layer":1},{"info":"⫖↰⪸10A1%⫖↰⪸-1926=⫖↰⪸-845","layer":0}]}
+{"id":375,"expression_no_base_symbol":"∥⊫($2553$⨵⪆$2370$)","expression":"∥⊫(⫖↰⪸1589⨵⪆⫖↰⪸1456)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2553,"base":12},"right_expr":{"type":"numeric_atoms","value":2370,"base":12}}},"used_operators":["P8v4zCKN1o","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸718","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2553","layer":2},{"info":"number node, value=2370","layer":2},{"info":"compute binary expreesion, left_input=2553, right_input=2370, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1028","layer":0}],"base":12,"result_base":12,"text":"∥⊫(⫖↰⪸1589⨵⪆⫖↰⪸1456)=⫖↰⪸718","reverse_text":"⫖↰⪸718=∥⊫(⫖↰⪸1589⨵⪆⫖↰⪸1456)","cot":[{"info":"⫖↰⪸1589⨵⪆⫖↰⪸1456=⫖↰⪸114","layer":1},{"info":"∥⊫⫖↰⪸114=⫖↰⪸718","layer":0}]}
+{"id":376,"expression_no_base_symbol":"$1471$⫥∨⫟$1086$⨳⩥⨓$4088$↬$5594$","expression":"⫖↰⪸A27⫥∨⫟⫖↰⪸766⨳⩥⨓⫖↰⪸2448↬⫖���⪸32A2","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":158,"operation_count":3,"complexity_ratio":52.666666666666664,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1471,"base":12},"right_expr":{"type":"numeric_atoms","value":1086,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4088,"base":12},"right_expr":{"type":"numeric_atoms","value":5594,"base":12}}},"used_operators":["nCS4ZIUYfx","KYD54nUTWz","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1471","layer":2},{"info":"number node, value=1086","layer":2},{"info":"compute binary expreesion, left_input=1471, right_input=1086, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=4088","layer":2},{"info":"number node, value=5594","layer":2},{"info":"compute binary expreesion, left_input=4088, right_input=5594, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸A27⫥∨⫟⫖↰⪸766⨳⩥⨓⫖↰⪸2448↬⫖↰⪸32A2=NaN","reverse_text":"NaN=⫖↰⪸A27⫥∨⫟⫖↰⪸766⨳⩥⨓⫖↰⪸2448↬⫖↰⪸32A2","cot":[{"info":"⫖↰⪸A27⫥∨⫟⫖↰⪸766=NaN","layer":1},{"info":"⫖↰⪸2448↬⫖↰⪸32A2=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
+{"id":377,"expression_no_base_symbol":"$4853$≧⫂∧$5885$⨰($2611$⋝⋈⪟$4658$)","expression":"⫖↰⪸2985≧⫂∧⫖↰⪸34A5⨰(⫖↰⪸1617⋝⋈⪟⫖↰⪸2842)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4853,"base":12},"right_expr":{"type":"numeric_atoms","value":5885,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2611,"base":12},"right_expr":{"type":"numeric_atoms","value":4658,"base":12}}},"used_operators":["eewbuw0ToL","Ph9nP6C5qx","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸1763","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4853","layer":2},{"info":"number node, value=5885","layer":2},{"info":"compute binary expreesion, left_input=4853, right_input=5885, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5412","layer":1},{"info":"number node, value=2611","layer":2},{"info":"number node, value=4658","layer":2},{"info":"compute binary expreesion, left_input=2611, right_input=4658, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2611","layer":1},{"info":"compute binary expreesion, left_input=5412, right_input=2611, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2811","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2985≧⫂∧⫖↰⪸34A5⨰(⫖↰⪸1617⋝⋈⪟⫖↰⪸2842)=⫖↰⪸1763","reverse_text":"⫖↰⪸1763=⫖↰⪸2985≧⫂∧⫖↰⪸34A5⨰(⫖↰⪸1617⋝⋈⪟⫖↰⪸2842)","cot":[{"info":"⫖↰⪸2985≧⫂∧⫖↰⪸34A5=⫖↰⪸3170","layer":1},{"info":"⫖↰⪸1617⋝⋈⪟⫖↰⪸2842=⫖↰⪸1617","layer":1},{"info":"⫖↰⪸3170⨰⫖↰⪸1617=⫖↰⪸1763","layer":0}]}
+{"id":378,"expression_no_base_symbol":"($4711$⊭↱$1593$)⊪","expression":"(⫖↰⪸2887⊭↱⫖↰⪸B09)⊪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18716,"operation_count":2,"complexity_ratio":9358.0,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4711,"base":12},"right_expr":{"type":"numeric_atoms","value":1593,"base":12}}},"used_operators":["zVYPLywUTj","COABgblf1C"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸AA3263B8","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4711","layer":2},{"info":"number node, value=1593","layer":2},{"info":"compute binary expreesion, left_input=4711, right_input=1593, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6231","layer":1},{"info":"compute unary expreesion, input=-6231, 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=388976828","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2887⊭↱⫖↰⪸B09)⊪=⫖↰⪸AA3263B8","reverse_text":"⫖↰⪸AA3263B8=(⫖↰⪸2887⊭↱⫖↰⪸B09)⊪","cot":[{"info":"⫖↰⪸2887⊭↱⫖↰⪸B09=⫖↰⪸-3733","layer":1},{"info":"⫖↰⪸-3733⊪=⫖↰⪸AA3263B8","layer":0}]}
+{"id":379,"expression_no_base_symbol":"↽≂$1705$⇷$1003$","expression":"↽≂⫖↰⪸BA1⇷⫖↰⪸6B7","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23879,"operation_count":2,"complexity_ratio":11939.5,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1705,"base":12},"right_expr":{"type":"numeric_atoms","value":1003,"base":12}}},"used_operators":["u6S6b8DprG","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸-23A4","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1705","layer":2},{"info":"number node, value=1003","layer":2},{"info":"compute binary expreesion, left_input=1705, right_input=1003, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2006","layer":1},{"info":"compute unary expreesion, input=2006, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4012","layer":0}],"base":12,"result_base":12,"text":"↽≂⫖↰⪸BA1⇷⫖↰⪸6B7=⫖↰⪸-23A4","reverse_text":"⫖↰⪸-23A4=↽≂⫖↰⪸BA1⇷⫖↰⪸6B7","cot":[{"info":"⫖↰⪸BA1⇷⫖↰⪸6B7=⫖↰⪸11B2","layer":1},{"info":"↽≂⫖↰⪸11B2=⫖↰⪸-23A4","layer":0}]}
+{"id":380,"expression_no_base_symbol":"$4145$⋓$3206$%$3545$⋓$1879$","expression":"⫖↰⪸2495⋓⫖↰⪸1A32%⫖↰⪸2075⋓⫖↰⪸1107","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4145,"base":12},"right_expr":{"type":"numeric_atoms","value":3206,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3545,"base":12},"right_expr":{"type":"numeric_atoms","value":1879,"base":12}}},"used_operators":["k8jYdgA6NY","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4145","layer":2},{"info":"number node, value=3206","layer":2},{"info":"compute binary expreesion, left_input=4145, right_input=3206, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=3545","layer":2},{"info":"number node, value=1879","layer":2},{"info":"compute binary expreesion, left_input=3545, right_input=1879, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2495⋓⫖↰⪸1A32%⫖↰⪸2075⋓⫖↰⪸1107=NaN","reverse_text":"NaN=⫖↰⪸2495⋓⫖↰⪸1A32%⫖↰⪸2075⋓⫖↰⪸1107","cot":[{"info":"⫖↰⪸2495⋓⫖↰⪸1A32=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2075⋓⫖↰⪸1107=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0%⫖↰⪸0=NaN","layer":0}]}
+{"id":381,"expression_no_base_symbol":"($1705$⊠≄⫣)⫥∨⫟$5213$⩷∴$4535$","expression":"(⫖↰⪸BA1⊠≄⫣)⫥∨⫟⫖↰⪸3025⩷∴⫖↰⪸275B","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":163,"operation_count":3,"complexity_ratio":54.333333333333336,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1705,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5213,"base":12},"right_expr":{"type":"numeric_atoms","value":4535,"base":12}}},"used_operators":["KYD54nUTWz","DIvbN7qnHd","9FxExcQeMw"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1705","layer":2},{"info":"compute unary expreesion, input=1705, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=5213","layer":2},{"info":"number node, value=4535","layer":2},{"info":"compute binary expreesion, left_input=5213, right_input=4535, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1324","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1324, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸BA1⊠≄⫣)⫥∨⫟⫖↰⪸3025⩷∴⫖↰⪸275B=NaN","reverse_text":"NaN=(⫖↰⪸BA1⊠≄⫣)⫥∨⫟⫖↰⪸3025⩷∴⫖↰⪸275B","cot":[{"info":"⫖↰⪸BA1⊠≄⫣=⫖↰⪸0","layer":1},{"info":"⫖↰⪸3025⩷∴⫖↰⪸275B=⫖↰⪸924","layer":1},{"info":"⫖↰⪸0⫥∨⫟⫖↰⪸924=NaN","layer":0}]}
+{"id":382,"expression_no_base_symbol":"($1766$⨐⩸⫘$7590$)≭($1406$⩨$7126$)","expression":"(⫖↰⪸1032⨐⩸⫘⫖↰⪸4486)≭(⫖↰⪸992⩨⫖↰⪸415A)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":507,"operation_count":3,"complexity_ratio":169.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1766,"base":12},"right_expr":{"type":"numeric_atoms","value":7590,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1406,"base":12},"right_expr":{"type":"numeric_atoms","value":7126,"base":12}}},"used_operators":["rxpJgHHUmx","fu6greOZ01","2DlMacCsIx"],"dependent_operators":["AHs5Up7iyr","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1766","layer":2},{"info":"number node, value=7590","layer":2},{"info":"compute binary expreesion, left_input=1766, right_input=7590, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1406","layer":2},{"info":"number node, value=7126","layer":2},{"info":"compute binary expreesion, left_input=1406, right_input=7126, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-15","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-15, 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":12,"result_base":12,"text":"(⫖↰⪸1032⨐⩸⫘⫖↰⪸4486)≭(⫖↰⪸992⩨⫖↰⪸415A)=NaN","reverse_text":"NaN=(⫖↰⪸1032⨐⩸⫘⫖↰⪸4486)≭(⫖↰⪸992⩨⫖↰⪸415A)","cot":[{"info":"⫖↰⪸1032⨐⩸⫘⫖↰⪸4486=NaN","layer":1},{"info":"⫖↰⪸992⩨⫖↰⪸415A=⫖↰⪸-13","layer":1},{"info":"NaN≭⫖↰⪸-13=NaN","layer":0}]}
+{"id":383,"expression_no_base_symbol":"($6573$⪨≂$2904$)⪄(⨑⩽⪐$5060$)","expression":"(⫖↰⪸3979⪨≂⫖↰⪸1820)⪄(⨑⩽⪐⫖↰⪸2B18)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":103,"operation_count":3,"complexity_ratio":34.333333333333336,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6573,"base":12},"right_expr":{"type":"numeric_atoms","value":2904,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5060,"base":12}}},"used_operators":["SUmda5xLS4","sdazOOVcIp","AF7qkfDlqP"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫖↰⪸-43BA65","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6573","layer":2},{"info":"number node, value=2904","layer":2},{"info":"compute binary expreesion, left_input=6573, right_input=2904, 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=7440","layer":1},{"info":"number node, value=5060","layer":2},{"info":"compute unary expreesion, input=5060, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4787","layer":1},{"info":"compute binary expreesion, left_input=7440, right_input=-4787, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1078061","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3979⪨≂⫖↰⪸1820)⪄(⨑⩽⪐⫖↰⪸2B18)=⫖↰⪸-43BA65","reverse_text":"⫖↰⪸-43BA65=(⫖↰⪸3979⪨≂⫖↰⪸1820)⪄(⨑⩽⪐⫖↰⪸2B18)","cot":[{"info":"⫖↰⪸3979⪨≂⫖↰⪸1820=⫖↰⪸4380","layer":1},{"info":"⨑⩽⪐⫖↰⪸2B18=⫖↰⪸-292B","layer":1},{"info":"⫖↰⪸4380⪄⫖↰⪸-292B=⫖↰⪸-43BA65","layer":0}]}
+{"id":384,"expression_no_base_symbol":"($5432$⪠⩆⊳)/$1423$-$2633$","expression":"(⫖↰⪸3188⪠⩆⊳)/⫖↰⪸9A7-⫖↰⪸1635","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5432,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1423,"base":12},"right_expr":{"type":"numeric_atoms","value":2633,"base":12}}},"used_operators":["XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5432","layer":2},{"info":"compute unary expreesion, input=5432, 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":"number node, value=1423","layer":2},{"info":"number node, value=2633","layer":2},{"info":"compute binary expreesion, left_input=1423, right_input=2633, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1210","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1210, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3188⪠⩆⊳)/⫖↰⪸9A7-⫖↰⪸1635=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸3188⪠⩆⊳)/⫖↰⪸9A7-⫖↰⪸1635","cot":[{"info":"⫖↰⪸3188⪠⩆⊳=⫖↰⪸0","layer":1},{"info":"⫖↰⪸9A7-⫖↰⪸1635=⫖↰⪸-84A","layer":1},{"info":"⫖↰⪸0/⫖↰⪸-84A=⫖↰⪸0","layer":0}]}
+{"id":385,"expression_no_base_symbol":"($1102$⋷$4087$)≭(⨞⊢$3695$)","expression":"(⫖↰⪸77A⋷⫖↰⪸2447)≭(⨞⊢⫖↰⪸217B)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1102,"base":12},"right_expr":{"type":"numeric_atoms","value":4087,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3695,"base":12}}},"used_operators":["rxpJgHHUmx","23Mk6UjR3U","xUOZtlo3hN"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1102","layer":2},{"info":"number node, value=4087","layer":2},{"info":"compute binary expreesion, left_input=1102, right_input=4087, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7072","layer":1},{"info":"number node, value=3695","layer":2},{"info":"compute unary expreesion, input=3695, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3869","layer":1},{"info":"compute binary expreesion, left_input=7072, right_input=-3869, 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":12,"result_base":12,"text":"(⫖↰⪸77A⋷⫖↰⪸2447)≭(⨞⊢⫖↰⪸217B)=NaN","reverse_text":"NaN=(⫖↰⪸77A⋷⫖↰⪸2447)≭(⨞⊢⫖↰⪸217B)","cot":[{"info":"⫖↰⪸77A⋷⫖↰⪸2447=⫖↰⪸4114","layer":1},{"info":"⨞⊢⫖↰⪸217B=⫖↰⪸-22A5","layer":1},{"info":"⫖↰⪸4114≭⫖↰⪸-22A5=NaN","layer":0}]}
+{"id":386,"expression_no_base_symbol":"($1005$⫸⊐$7648$)+⇶⊼($5589$⨳⩥⨓$7349$)","expression":"(⫖↰⪸6B9⫸⊐⫖↰⪸4514)+⇶⊼(⫖↰⪸3299⨳⩥⨓⫖↰⪸4305)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1005,"base":12},"right_expr":{"type":"numeric_atoms","value":7648,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5589,"base":12},"right_expr":{"type":"numeric_atoms","value":7349,"base":12}}},"used_operators":["TpPTUOHfaN","mqXw5SEYmG","nCS4ZIUYfx"],"dependent_operators":["AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1005","layer":2},{"info":"number node, value=7648","layer":2},{"info":"compute binary expreesion, left_input=1005, right_input=7648, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=30467","layer":1},{"info":"number node, value=5589","layer":2},{"info":"number node, value=7349","layer":2},{"info":"compute binary expreesion, left_input=5589, right_input=7349, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1760","layer":1},{"info":"compute binary expreesion, left_input=30467, right_input=1760, 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":12,"result_base":12,"text":"(⫖↰⪸6B9⫸⊐⫖↰⪸4514)+⇶⊼(⫖↰⪸3299⨳⩥⨓⫖↰⪸4305)=NaN","reverse_text":"NaN=(⫖↰⪸6B9⫸⊐⫖↰⪸4514)+⇶⊼(⫖↰⪸3299⨳⩥⨓⫖↰⪸4305)","cot":[{"info":"⫖↰⪸6B9⫸⊐⫖↰⪸4514=⫖↰⪸1576B","layer":1},{"info":"⫖↰⪸3299⨳⩥⨓⫖↰⪸4305=⫖↰⪸1028","layer":1},{"info":"⫖↰⪸1576B+⇶⊼⫖↰⪸1028=NaN","layer":0}]}
+{"id":387,"expression_no_base_symbol":"⇁⨣⪵($3274$⪠⩆⊳)","expression":"⇁⨣⪵(⫖↰⪸1A8A⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3274,"base":12}}},"used_operators":["inkyxCbjAn","JLbD19bQDL"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3274","layer":2},{"info":"compute unary expreesion, input=3274, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⇁⨣⪵(⫖↰⪸1A8A⪠⩆⊳)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⇁⨣⪵(⫖↰⪸1A8A⪠⩆⊳)","cot":[{"info":"⫖↰⪸1A8A⪠⩆⊳=⫖↰⪸0","layer":1},{"info":"⇁⨣⪵⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":388,"expression_no_base_symbol":"($1430$⩨$3102$)≹⇙⪍($1185$≭$6703$)","expression":"(⫖↰⪸9B2⩨⫖↰⪸1966)≹⇙⪍(⫖↰⪸829≭⫖↰⪸3A67)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1430,"base":12},"right_expr":{"type":"numeric_atoms","value":3102,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1185,"base":12},"right_expr":{"type":"numeric_atoms","value":6703,"base":12}}},"used_operators":["AHs5Up7iyr","2DlMacCsIx","rxpJgHHUmx"],"dependent_operators":["dWAJyo7jo9","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1430","layer":2},{"info":"number node, value=3102","layer":2},{"info":"compute binary expreesion, left_input=1430, right_input=3102, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":1},{"info":"number node, value=1185","layer":2},{"info":"number node, value=6703","layer":2},{"info":"compute binary expreesion, left_input=1185, right_input=6703, 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=-6, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸9B2⩨⫖↰⪸1966)≹⇙⪍(⫖↰⪸829≭⫖↰⪸3A67)=NaN","reverse_text":"NaN=(⫖↰⪸9B2⩨⫖↰⪸1966)≹⇙⪍(⫖↰⪸829≭⫖↰⪸3A67)","cot":[{"info":"⫖↰⪸9B2⩨⫖↰⪸1966=⫖↰⪸-6","layer":1},{"info":"⫖↰⪸829≭⫖↰⪸3A67=NaN","layer":1},{"info":"⫖↰⪸-6≹⇙⪍NaN=NaN","layer":0}]}
+{"id":389,"expression_no_base_symbol":"⨑⩽⪐($5676$⊭↱$6570$)","expression":"⨑⩽⪐(⫖↰⪸3350⊭↱⫖↰⪸3976)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5676,"base":12},"right_expr":{"type":"numeric_atoms","value":6570,"base":12}}},"used_operators":["AF7qkfDlqP","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-A68","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5676","layer":2},{"info":"number node, value=6570","layer":2},{"info":"compute binary expreesion, left_input=5676, right_input=6570, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1793","layer":1},{"info":"compute unary expreesion, input=1793, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1520","layer":0}],"base":12,"result_base":12,"text":"⨑⩽⪐(⫖↰⪸3350⊭↱⫖↰⪸3976)=⫖↰⪸-A68","reverse_text":"⫖↰⪸-A68=⨑⩽⪐(⫖↰⪸3350⊭↱⫖↰⪸3976)","cot":[{"info":"⫖↰⪸3350⊭↱⫖↰⪸3976=⫖↰⪸1055","layer":1},{"info":"⨑⩽⪐⫖↰⪸1055=⫖↰⪸-A68","layer":0}]}
+{"id":390,"expression_no_base_symbol":"($3412$⩚⊴⇥$2688$)∑⇟⊟$1611$⨪↰⇹$2682$","expression":"(⫖↰⪸1B84⩚⊴⇥⫖↰⪸1680)∑⇟⊟⫖↰⪸B23⨪↰⇹⫖↰⪸1676","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1615,"operation_count":3,"complexity_ratio":538.3333333333334,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3412,"base":12},"right_expr":{"type":"numeric_atoms","value":2688,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1611,"base":12},"right_expr":{"type":"numeric_atoms","value":2682,"base":12}}},"used_operators":["U7g4x0WXJJ","NTOWxs364D","tmPS8pqC7x"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3412","layer":2},{"info":"number node, value=2688","layer":2},{"info":"compute binary expreesion, left_input=3412, right_input=2688, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6221","layer":1},{"info":"number node, value=1611","layer":2},{"info":"number node, value=2682","layer":2},{"info":"compute binary expreesion, left_input=1611, right_input=2682, 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=1611","layer":1},{"info":"compute binary expreesion, left_input=-6221, right_input=1611, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1B84⩚⊴⇥⫖↰⪸1680)∑⇟⊟⫖↰⪸B23⨪↰⇹⫖↰⪸1676=NaN","reverse_text":"NaN=(⫖↰⪸1B84⩚⊴⇥⫖↰⪸1680)∑⇟⊟⫖↰⪸B23⨪↰⇹⫖↰⪸1676","cot":[{"info":"⫖↰⪸1B84⩚⊴⇥⫖↰⪸1680=⫖↰⪸-3725","layer":1},{"info":"⫖↰⪸B23⨪↰⇹⫖↰⪸1676=⫖↰⪸B23","layer":1},{"info":"⫖↰⪸-3725∑⇟⊟⫖↰⪸B23=NaN","layer":0}]}
+{"id":391,"expression_no_base_symbol":"$2392$⊉≛↸$3192$⇼⇔∾$1304$⨟⋌⩍$4362$","expression":"⫖↰⪸1474⊉≛↸⫖↰⪸1A20⇼⇔∾⫖↰⪸908⨟⋌⩍⫖↰⪸2636","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2392,"base":12},"right_expr":{"type":"numeric_atoms","value":3192,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1304,"base":12},"right_expr":{"type":"numeric_atoms","value":4362,"base":12}}},"used_operators":["tifHPKVTfV","DZ8iAZOCBD","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2392","layer":2},{"info":"number node, value=3192","layer":2},{"info":"compute binary expreesion, left_input=2392, right_input=3192, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4784","layer":1},{"info":"number node, value=1304","layer":2},{"info":"number node, value=4362","layer":2},{"info":"compute binary expreesion, left_input=1304, right_input=4362, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4784, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1474⊉≛↸⫖↰⪸1A20⇼⇔∾⫖↰⪸908⨟⋌⩍⫖↰⪸2636=NaN","reverse_text":"NaN=⫖↰⪸1474⊉≛↸⫖↰⪸1A20⇼⇔∾⫖↰⪸908⨟⋌⩍⫖↰⪸2636","cot":[{"info":"⫖↰⪸1474⊉≛↸⫖↰⪸1A20=⫖↰⪸2928","layer":1},{"info":"⫖↰⪸908⨟⋌⩍⫖↰⪸2636=NaN","layer":1},{"info":"⫖↰⪸2928⇼⇔∾NaN=NaN","layer":0}]}
+{"id":392,"expression_no_base_symbol":"(≉$2553$)≧⫂∧$3379$⪘⫢$1951$","expression":"(≉⫖↰⪸1589)≧⫂∧⫖↰⪸1B57⪘⫢⫖↰⪸1167","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2553,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3379,"base":12},"right_expr":{"type":"numeric_atoms","value":1951,"base":12}}},"used_operators":["Ph9nP6C5qx","e1ybzncUwg","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫖↰⪸3695","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2553","layer":2},{"info":"compute unary expreesion, input=2553, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3084","layer":1},{"info":"number node, value=3379","layer":2},{"info":"number node, value=1951","layer":2},{"info":"compute binary expreesion, left_input=3379, right_input=1951, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6634","layer":1},{"info":"compute binary expreesion, left_input=3084, right_input=6634, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6161","layer":0}],"base":12,"result_base":12,"text":"(≉⫖↰⪸1589)≧⫂∧⫖↰⪸1B57⪘⫢⫖↰⪸1167=⫖↰⪸3695","reverse_text":"⫖↰⪸3695=(≉⫖↰⪸1589)≧⫂∧⫖↰⪸1B57⪘⫢⫖↰⪸1167","cot":[{"info":"≉⫖↰⪸1589=⫖↰⪸1950","layer":1},{"info":"⫖↰⪸1B57⪘⫢⫖↰⪸1167=⫖↰⪸3A0A","layer":1},{"info":"⫖↰⪸1950≧⫂∧⫖↰⪸3A0A=⫖↰⪸3695","layer":0}]}
+{"id":393,"expression_no_base_symbol":"(⨈⫕$1388$)↺(⫓⪴$5449$)","expression":"(⨈⫕⫖↰⪸978)↺(⫓⪴⫖↰⪸31A1)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5837,"operation_count":3,"complexity_ratio":1945.6666666666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1388,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5449,"base":12}}},"used_operators":["7j4O788W3g","megm06wKyl","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9HNa5Wba9A"],"result":"⫖↰⪸9B3A781","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1388","layer":2},{"info":"compute unary expreesion, input=1388, 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=5449","layer":2},{"info":"compute unary expreesion, input=5449, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=29691601","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=29691601, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=29691601","layer":0}],"base":12,"result_base":12,"text":"(⨈⫕⫖↰⪸978)↺(⫓⪴⫖↰⪸31A1)=⫖↰⪸9B3A781","reverse_text":"⫖↰⪸9B3A781=(⨈⫕⫖↰⪸978)↺(⫓⪴⫖↰⪸31A1)","cot":[{"info":"⨈⫕⫖↰⪸978=⫖↰⪸-19","layer":1},{"info":"⫓⪴⫖↰⪸31A1=⫖↰⪸9B3A781","layer":1},{"info":"⫖↰⪸-19↺⫖↰⪸9B3A781=⫖↰⪸9B3A781","layer":0}]}
+{"id":394,"expression_no_base_symbol":"($2548$/$2489$)%($2251$⊪)","expression":"(⫖↰⪸1584/⫖↰⪸1535)%(⫖↰⪸1377⊪)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2548,"base":12},"right_expr":{"type":"numeric_atoms","value":2489,"base":12}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2251,"base":12}}},"used_operators":["k8jYdgA6NY","XhwjNDsVaA","zVYPLywUTj"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2548","layer":2},{"info":"number node, value=2489","layer":2},{"info":"compute binary expreesion, left_input=2548, right_input=2489, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"number node, value=2251","layer":2},{"info":"compute unary expreesion, input=2251, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1584/⫖↰⪸1535)%(⫖↰⪸1377⊪)=NaN","reverse_text":"NaN=(⫖↰⪸1584/⫖↰⪸1535)%(⫖↰⪸1377⊪)","cot":[{"info":"⫖↰⪸1584/⫖↰⪸1535=⫖↰⪸1","layer":1},{"info":"⫖↰⪸1377⊪=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1%⫖↰⪸0=NaN","layer":0}]}
+{"id":395,"expression_no_base_symbol":"⊙↵-($7037$≧⫂∧$2487$)","expression":"⊙↵-(⫖↰⪸40A5≧⫂∧⫖↰⪸1533)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2061,"operation_count":2,"complexity_ratio":1030.5,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7037,"base":12},"right_expr":{"type":"numeric_atoms","value":2487,"base":12}}},"used_operators":["oWn0xqSxBt","Ph9nP6C5qx"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-1","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7037","layer":2},{"info":"number node, value=2487","layer":2},{"info":"compute binary expreesion, left_input=7037, right_input=2487, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2014","layer":1},{"info":"compute unary expreesion, input=2014, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":12,"result_base":12,"text":"⊙↵-(⫖↰⪸40A5≧⫂∧⫖↰⪸1533)=⫖↰⪸-1","reverse_text":"⫖↰⪸-1=⊙↵-(⫖↰⪸40A5≧⫂∧⫖↰⪸1533)","cot":[{"info":"⫖↰⪸40A5≧⫂∧⫖↰⪸1533=⫖↰⪸11BA","layer":1},{"info":"⊙↵-⫖↰⪸11BA=⫖↰⪸-1","layer":0}]}
+{"id":396,"expression_no_base_symbol":"+⊝⨔($1399$⫡⨏$3601$)","expression":"+⊝⨔(⫖↰⪸987⫡⨏⫖↰⪸2101)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":47,"operation_count":2,"complexity_ratio":23.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1399,"base":12},"right_expr":{"type":"numeric_atoms","value":3601,"base":12}}},"used_operators":["DhbWaqg5eL","QMFrweE19q"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1399","layer":2},{"info":"number node, value=3601","layer":2},{"info":"compute binary expreesion, left_input=1399, right_input=3601, 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=14980","layer":1},{"info":"compute unary expreesion, input=14980, 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":12,"result_base":12,"text":"+⊝⨔(⫖↰⪸987⫡⨏⫖↰⪸2101)=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔(⫖↰⪸987⫡⨏⫖↰⪸2101)","cot":[{"info":"⫖↰⪸987⫡⨏⫖↰⪸2101=⫖↰⪸8804","layer":1},{"info":"+⊝⨔⫖↰⪸8804=⫖↰⪸A6A","layer":0}]}
+{"id":397,"expression_no_base_symbol":"$3195$-$8484$⫡⨏$2529$↺$4591$","expression":"⫖↰⪸1A23-⫖↰⪸4AB0⫡⨏⫖↰⪸1569↺⫖↰⪸27A7","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3195,"base":12},"right_expr":{"type":"numeric_atoms","value":8484,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2529,"base":12},"right_expr":{"type":"numeric_atoms","value":4591,"base":12}}},"used_operators":["QMFrweE19q","rysDP5nf3Z","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-9654","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3195","layer":2},{"info":"number node, value=8484","layer":2},{"info":"compute binary expreesion, left_input=3195, right_input=8484, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5289","layer":1},{"info":"number node, value=2529","layer":2},{"info":"number node, value=4591","layer":2},{"info":"compute binary expreesion, left_input=2529, right_input=4591, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4591","layer":1},{"info":"compute binary expreesion, left_input=-5289, right_input=4591, 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=-16480","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1A23-⫖↰⪸4AB0⫡⨏⫖↰⪸1569↺⫖↰⪸27A7=⫖↰⪸-9654","reverse_text":"⫖↰⪸-9654=⫖↰⪸1A23-⫖↰⪸4AB0⫡⨏⫖↰⪸1569↺⫖↰⪸27A7","cot":[{"info":"⫖↰⪸1A23-⫖↰⪸4AB0=⫖↰⪸-3089","layer":1},{"info":"⫖↰⪸1569↺⫖↰⪸27A7=⫖↰⪸27A7","layer":1},{"info":"⫖↰⪸-3089⫡⨏⫖↰⪸27A7=⫖↰⪸-9654","layer":0}]}
+{"id":398,"expression_no_base_symbol":"(+⊝⨔$4285$)⨟⋌⩍($1510$+$5434$)","expression":"(+⊝⨔⫖↰⪸2591)⨟⋌⩍(⫖↰⪸A5A+⫖↰⪸318A)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4285,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1510,"base":12},"right_expr":{"type":"numeric_atoms","value":5434,"base":12}}},"used_operators":["rGHVDoGpnC","DhbWaqg5eL","W4YGzv6Whe"],"dependent_operators":["Tcnh7f0tEr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4285","layer":2},{"info":"compute unary expreesion, input=4285, 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=1510","layer":2},{"info":"number node, value=5434","layer":2},{"info":"compute binary expreesion, left_input=1510, right_input=5434, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6944","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=6944, 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":12,"result_base":12,"text":"(+⊝⨔⫖↰⪸2591)⨟⋌⩍(⫖↰⪸A5A+⫖↰⪸318A)=NaN","reverse_text":"NaN=(+⊝⨔⫖↰⪸2591)⨟⋌⩍(⫖↰⪸A5A+⫖↰⪸318A)","cot":[{"info":"+⊝⨔⫖↰⪸2591=⫖↰⪸A6A","layer":1},{"info":"⫖↰⪸A5A+⫖↰⪸318A=⫖↰⪸4028","layer":1},{"info":"⫖↰⪸A6A⨟⋌⩍⫖↰⪸4028=NaN","layer":0}]}
+{"id":399,"expression_no_base_symbol":"($1307$⨐⩸⫘$5453$)⨓$4103$⪘⫢$2404$","expression":"(⫖↰⪸90B⨐⩸⫘⫖↰⪸31A5)⨓⫖↰⪸245B⪘⫢⫖↰⪸1484","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8104,"operation_count":3,"complexity_ratio":2701.3333333333335,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1307,"base":12},"right_expr":{"type":"numeric_atoms","value":5453,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4103,"base":12},"right_expr":{"type":"numeric_atoms","value":2404,"base":12}}},"used_operators":["3ViojmjbAp","fu6greOZ01","oacrs7FA3X"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫖↰⪸-4819","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1307","layer":2},{"info":"number node, value=5453","layer":2},{"info":"compute binary expreesion, left_input=1307, right_input=5453, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4103","layer":2},{"info":"number node, value=2404","layer":2},{"info":"compute binary expreesion, left_input=4103, right_input=2404, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8082","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8082, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8085","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸90B⨐⩸⫘⫖↰⪸31A5)⨓⫖↰⪸245B⪘⫢⫖↰⪸1484=⫖↰⪸-4819","reverse_text":"⫖↰⪸-4819=(⫖↰⪸90B⨐⩸⫘⫖↰⪸31A5)⨓⫖↰⪸245B⪘⫢⫖↰⪸1484","cot":[{"info":"⫖↰⪸90B⨐⩸⫘⫖↰⪸31A5=NaN","layer":1},{"info":"⫖↰⪸245B⪘⫢⫖↰⪸1484=⫖↰⪸4816","layer":1},{"info":"NaN⨓⫖↰⪸4816=⫖↰⪸-4819","layer":0}]}
+{"id":400,"expression_no_base_symbol":"($1105$⨸⪁$1905$)⨪↰⇹($4511$⫸⊐$1797$)","expression":"(⫖↰⪸781⨸⪁⫖↰⪸1129)⨪↰⇹(⫖↰⪸273B⫸⊐⫖↰⪸1059)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6047,"operation_count":3,"complexity_ratio":2015.6666666666667,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1105,"base":12},"right_expr":{"type":"numeric_atoms","value":1905,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4511,"base":12},"right_expr":{"type":"numeric_atoms","value":1797,"base":12}}},"used_operators":["tmPS8pqC7x","g55IO6H4Gj","mqXw5SEYmG"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸3598","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1105","layer":2},{"info":"number node, value=1905","layer":2},{"info":"compute binary expreesion, left_input=1105, right_input=1905, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6020","layer":1},{"info":"number node, value=4511","layer":2},{"info":"number node, value=1797","layer":2},{"info":"compute binary expreesion, left_input=4511, right_input=1797, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7063","layer":1},{"info":"compute binary expreesion, left_input=6020, right_input=7063, 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=6020","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸781⨸⪁⫖↰⪸1129)⨪↰⇹(⫖↰⪸273B⫸⊐⫖↰⪸1059)=⫖↰⪸3598","reverse_text":"⫖↰⪸3598=(⫖↰⪸781⨸⪁⫖↰⪸1129)⨪↰⇹(⫖↰⪸273B⫸⊐⫖↰⪸1059)","cot":[{"info":"⫖↰⪸781⨸⪁⫖↰⪸1129=⫖↰⪸3598","layer":1},{"info":"⫖↰⪸273B⫸⊐⫖↰⪸1059=⫖↰⪸4107","layer":1},{"info":"⫖↰⪸3598⨪↰⇹⫖↰⪸4107=⫖↰⪸3598","layer":0}]}
+{"id":401,"expression_no_base_symbol":"($2527$⨳⩥⨓$2549$)⪮%⊝($8116$↛⩡⫤)","expression":"(⫖↰⪸1567⨳⩥⨓⫖↰⪸1585)⪮%⊝(⫖↰⪸4844↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24494,"operation_count":3,"complexity_ratio":8164.666666666667,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2527,"base":12},"right_expr":{"type":"numeric_atoms","value":2549,"base":12}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":8116,"base":12}}},"used_operators":["IWmyXbctLI","nCS4ZIUYfx","FU0Cs4j7VP"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"⫖↰⪸260","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2527","layer":2},{"info":"number node, value=2549","layer":2},{"info":"compute binary expreesion, left_input=2527, right_input=2549, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=22","layer":1},{"info":"number node, value=8116","layer":2},{"info":"compute unary expreesion, input=8116, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1221605","layer":1},{"info":"compute binary expreesion, left_input=22, right_input=-1221605, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=360","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1567⨳⩥⨓⫖↰⪸1585)⪮%⊝(⫖↰⪸4844↛⩡⫤)=⫖↰⪸260","reverse_text":"⫖↰⪸260=(⫖↰⪸1567⨳⩥⨓⫖↰⪸1585)⪮%⊝(⫖↰⪸4844↛⩡⫤)","cot":[{"info":"⫖↰⪸1567⨳⩥⨓⫖↰⪸1585=⫖↰⪸1A","layer":1},{"info":"⫖↰⪸4844↛⩡⫤=⫖↰⪸-4AAB45","layer":1},{"info":"⫖↰⪸1A⪮%⊝⫖↰⪸-4AAB45=⫖↰⪸260","layer":0}]}
+{"id":402,"expression_no_base_symbol":"$2483$≹⇙⪍$1148$⋝⋈⪟($1309$∸)","expression":"⫖↰⪸152B≹⇙⪍⫖↰⪸7B8⋝⋈⪟(⫖↰⪸911∸)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":181,"operation_count":3,"complexity_ratio":60.333333333333336,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2483,"base":12},"right_expr":{"type":"numeric_atoms","value":1148,"base":12}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1309,"base":12}}},"used_operators":["2DDjHMKMc0","AHs5Up7iyr","o20kRiQErp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2483","layer":2},{"info":"number node, value=1148","layer":2},{"info":"compute binary expreesion, left_input=2483, right_input=1148, 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=1309","layer":2},{"info":"compute unary expreesion, input=1309, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸152B≹⇙⪍⫖↰⪸7B8⋝⋈⪟(⫖↰⪸911∸)=NaN","reverse_text":"NaN=⫖↰⪸152B≹⇙⪍⫖↰⪸7B8⋝⋈⪟(⫖↰⪸911∸)","cot":[{"info":"⫖↰⪸152B≹⇙⪍⫖↰⪸7B8=NaN","layer":1},{"info":"⫖↰⪸911∸=⫖↰⪸129","layer":1},{"info":"NaN⋝⋈⪟⫖↰⪸129=NaN","layer":0}]}
+{"id":403,"expression_no_base_symbol":"($4120$⩨$5608$)+⇶⊼(⨑⩽⪐$4605$)","expression":"(⫖↰⪸2474⩨⫖↰⪸32B4)+⇶⊼(⨑⩽⪐⫖↰⪸27B9)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4120,"base":12},"right_expr":{"type":"numeric_atoms","value":5608,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4605,"base":12}}},"used_operators":["TpPTUOHfaN","2DlMacCsIx","AF7qkfDlqP"],"dependent_operators":["AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4120","layer":2},{"info":"number node, value=5608","layer":2},{"info":"compute binary expreesion, left_input=4120, right_input=5608, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"number node, value=4605","layer":2},{"info":"compute unary expreesion, input=4605, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4332","layer":1},{"info":"compute binary expreesion, left_input=-3, right_input=-4332, 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":12,"result_base":12,"text":"(⫖↰⪸2474⩨⫖↰⪸32B4)+⇶⊼(⨑⩽⪐⫖↰⪸27B9)=NaN","reverse_text":"NaN=(⫖↰⪸2474⩨⫖↰⪸32B4)+⇶⊼(⨑⩽⪐⫖↰⪸27B9)","cot":[{"info":"⫖↰⪸2474⩨⫖↰⪸32B4=⫖↰⪸-3","layer":1},{"info":"⨑⩽⪐⫖↰⪸27B9=⫖↰⪸-2610","layer":1},{"info":"⫖↰⪸-3+⇶⊼⫖↰⪸-2610=NaN","layer":0}]}
+{"id":404,"expression_no_base_symbol":"$9089$≧⫂∧$3954$⊭↱($1210$⩨$1942$)","expression":"⫖↰⪸5315≧⫂∧⫖↰⪸2356⊭↱(⫖↰⪸84A⩨⫖↰⪸115A)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":9089,"base":12},"right_expr":{"type":"numeric_atoms","value":3954,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1210,"base":12},"right_expr":{"type":"numeric_atoms","value":1942,"base":12}}},"used_operators":["COABgblf1C","Ph9nP6C5qx","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸-4043","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=9089","layer":2},{"info":"number node, value=3954","layer":2},{"info":"compute binary expreesion, left_input=9089, right_input=3954, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3481","layer":1},{"info":"number node, value=1210","layer":2},{"info":"number node, value=1942","layer":2},{"info":"compute binary expreesion, left_input=1210, right_input=1942, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"compute binary expreesion, left_input=3481, right_input=-3, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6963","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸5315≧⫂∧⫖↰⪸2356⊭↱(⫖↰⪸84A⩨⫖↰⪸115A)=⫖↰⪸-4043","reverse_text":"⫖↰⪸-4043=⫖↰⪸5315≧⫂∧⫖↰⪸2356⊭↱(⫖↰⪸84A⩨⫖↰⪸115A)","cot":[{"info":"⫖↰⪸5315≧⫂∧⫖↰⪸2356=⫖↰⪸2021","layer":1},{"info":"⫖↰⪸84A⩨⫖↰⪸115A=⫖↰⪸-3","layer":1},{"info":"⫖↰⪸2021⊭↱⫖↰⪸-3=⫖↰⪸-4043","layer":0}]}
+{"id":405,"expression_no_base_symbol":"(⊙↵-$3988$)⋥≓≎($1794$*$3851$)","expression":"(⊙↵-⫖↰⪸2384)⋥≓≎(⫖↰⪸1056*⫖↰⪸228B)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5832,"operation_count":3,"complexity_ratio":1944.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3988,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1794,"base":12},"right_expr":{"type":"numeric_atoms","value":3851,"base":12}}},"used_operators":["Qy55tPpLXF","oWn0xqSxBt","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe"],"result":"⫖↰⪸476423A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3988","layer":2},{"info":"compute unary expreesion, input=3988, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=1794","layer":2},{"info":"number node, value=3851","layer":2},{"info":"compute binary expreesion, left_input=1794, right_input=3851, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6908694","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=6908694, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=13817422","layer":0}],"base":12,"result_base":12,"text":"(⊙↵-⫖↰⪸2384)⋥≓≎(⫖↰⪸1056*⫖↰⪸228B)=⫖↰⪸476423A","reverse_text":"⫖↰⪸476423A=(⊙↵-⫖↰⪸2384)⋥≓≎(⫖↰⪸1056*⫖↰⪸228B)","cot":[{"info":"⊙↵-⫖↰⪸2384=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸1056*⫖↰⪸228B=⫖↰⪸2392106","layer":1},{"info":"⫖↰⪸-1⋥≓≎⫖↰⪸2392106=⫖↰⪸476423A","layer":0}]}
+{"id":406,"expression_no_base_symbol":"$5242$∼$3771$≎⊠⪸($2553$↙$6768$)","expression":"⫖↰⪸304A∼⫖↰⪸2223≎⊠⪸(⫖↰⪸1589↙⫖↰⪸3B00)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6886,"operation_count":3,"complexity_ratio":2295.3333333333335,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5242,"base":12},"right_expr":{"type":"numeric_atoms","value":3771,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2553,"base":12},"right_expr":{"type":"numeric_atoms","value":6768,"base":12}}},"used_operators":["bJkvcejdHO","DyGG3AbaNP","yyfyN0ffXY"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5242","layer":2},{"info":"number node, value=3771","layer":2},{"info":"compute binary expreesion, left_input=5242, right_input=3771, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=2553","layer":2},{"info":"number node, value=6768","layer":2},{"info":"compute binary expreesion, left_input=2553, right_input=6768, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-20304","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-20304, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸304A∼⫖↰⪸2223≎⊠⪸(⫖↰⪸1589↙⫖↰⪸3B00)=⫖↰⪸57","reverse_text":"⫖↰⪸57=⫖↰⪸304A∼⫖↰⪸2223≎⊠⪸(⫖↰⪸1589↙⫖↰⪸3B00)","cot":[{"info":"⫖↰⪸304A∼⫖↰⪸2223=NaN","layer":1},{"info":"⫖↰⪸1589↙⫖↰⪸3B00=⫖↰⪸-B900","layer":1},{"info":"NaN≎⊠⪸⫖↰⪸-B900=⫖↰⪸57","layer":0}]}
+{"id":407,"expression_no_base_symbol":"$7879$⋓$1101$↺($1148$↺$5455$)","expression":"⫖↰⪸4687⋓⫖↰⪸779↺(⫖↰⪸7B8↺⫖↰⪸31A7)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":17,"operation_count":3,"complexity_ratio":5.666666666666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7879,"base":12},"right_expr":{"type":"numeric_atoms","value":1101,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1148,"base":12},"right_expr":{"type":"numeric_atoms","value":5455,"base":12}}},"used_operators":["7j4O788W3g","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫖↰⪸31A7","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7879","layer":2},{"info":"number node, value=1101","layer":2},{"info":"compute binary expreesion, left_input=7879, right_input=1101, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=1148","layer":2},{"info":"number node, value=5455","layer":2},{"info":"compute binary expreesion, left_input=1148, right_input=5455, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5455","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=5455, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5455","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸4687⋓⫖↰⪸779↺(⫖↰⪸7B8↺⫖↰⪸31A7)=⫖↰⪸31A7","reverse_text":"⫖↰⪸31A7=⫖↰⪸4687⋓⫖↰⪸779↺(⫖↰⪸7B8↺⫖↰⪸31A7)","cot":[{"info":"⫖↰⪸4687⋓⫖↰⪸779=⫖↰⪸0","layer":1},{"info":"⫖↰⪸7B8↺⫖↰⪸31A7=⫖↰⪸31A7","layer":1},{"info":"⫖↰⪸0↺⫖↰⪸31A7=⫖↰⪸31A7","layer":0}]}
+{"id":408,"expression_no_base_symbol":"$6038$↙$5412$⨳⩥⨓$3379$⨽$2414$","expression":"⫖↰⪸35B2↙⫖↰⪸3170⨳⩥⨓⫖↰⪸1B57⨽⫖↰⪸1492","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8806,"operation_count":3,"complexity_ratio":2935.3333333333335,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6038,"base":12},"right_expr":{"type":"numeric_atoms","value":5412,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3379,"base":12},"right_expr":{"type":"numeric_atoms","value":2414,"base":12}}},"used_operators":["nCS4ZIUYfx","yyfyN0ffXY","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫖↰⪸-B5743B3","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6038","layer":2},{"info":"number node, value=5412","layer":2},{"info":"compute binary expreesion, left_input=6038, right_input=5412, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16236","layer":1},{"info":"number node, value=3379","layer":2},{"info":"number node, value=2414","layer":2},{"info":"compute binary expreesion, left_input=3379, right_input=2414, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-34258851","layer":1},{"info":"compute binary expreesion, left_input=-16236, right_input=-34258851, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-34242615","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸35B2↙⫖↰⪸3170⨳⩥⨓⫖↰⪸1B57⨽⫖↰⪸1492=⫖↰⪸-B5743B3","reverse_text":"⫖↰⪸-B5743B3=⫖↰⪸35B2↙⫖↰⪸3170⨳⩥⨓⫖↰⪸1B57⨽⫖↰⪸1492","cot":[{"info":"⫖↰⪸35B2↙⫖↰⪸3170=⫖↰⪸-9490","layer":1},{"info":"⫖↰⪸1B57⨽⫖↰⪸1492=⫖↰⪸-B581883","layer":1},{"info":"⫖↰⪸-9490⨳⩥⨓⫖↰⪸-B581883=⫖↰⪸-B5743B3","layer":0}]}
+{"id":409,"expression_no_base_symbol":"($3761$⩤)⨪↰⇹$5724$⊴$1942$","expression":"(⫖↰⪸2215⩤)⨪↰⇹⫖↰⪸3390⊴⫖↰⪸115A","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6216,"operation_count":3,"complexity_ratio":2072.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3761,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5724,"base":12},"right_expr":{"type":"numeric_atoms","value":1942,"base":12}}},"used_operators":["tmPS8pqC7x","Z2TMIBDE3Q","Nsiff2A1zJ"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"⫖↰⪸2215","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3761","layer":2},{"info":"compute unary expreesion, input=3761, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3761","layer":1},{"info":"number node, value=5724","layer":2},{"info":"number node, value=1942","layer":2},{"info":"compute binary expreesion, left_input=5724, right_input=1942, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3761, 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=3761","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2215⩤)⨪↰⇹⫖↰⪸3390⊴⫖↰⪸115A=⫖↰⪸2215","reverse_text":"⫖↰⪸2215=(⫖↰⪸2215⩤)⨪↰⇹⫖↰⪸3390⊴⫖↰⪸115A","cot":[{"info":"⫖↰⪸2215⩤=⫖↰⪸-2215","layer":1},{"info":"⫖↰⪸3390⊴⫖↰⪸115A=NaN","layer":1},{"info":"⫖↰⪸-2215⨪↰⇹NaN=⫖↰⪸2215","layer":0}]}
+{"id":410,"expression_no_base_symbol":"($1945$≣⋋)⩤","expression":"(⫖↰⪸1161≣⋋)⩤","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":515,"operation_count":2,"complexity_ratio":257.5,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1945,"base":12}}},"used_operators":["Z2TMIBDE3Q","Tcnh7f0tEr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1945","layer":2},{"info":"compute unary expreesion, input=1945, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1161≣⋋)⩤=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸1161≣⋋)⩤","cot":[{"info":"⫖↰⪸1161≣⋋=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⩤=⫖↰⪸0","layer":0}]}
+{"id":411,"expression_no_base_symbol":"(⨑⩽⪐$8614$)∑⇟⊟(≦∁$1234$)","expression":"(⨑⩽⪐⫖↰⪸4B9A)∑⇟⊟(≦∁⫖↰⪸86A)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":8614,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1234,"base":12}}},"used_operators":["U7g4x0WXJJ","AF7qkfDlqP","9ICcGScMcE"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8614","layer":2},{"info":"compute unary expreesion, input=8614, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-8341","layer":1},{"info":"number node, value=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=-8341, right_input=1234, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨑⩽⪐⫖↰⪸4B9A)∑⇟⊟(≦∁⫖↰⪸86A)=NaN","reverse_text":"NaN=(⨑⩽⪐⫖↰⪸4B9A)∑⇟⊟(≦∁⫖↰⪸86A)","cot":[{"info":"⨑⩽⪐⫖↰⪸4B9A=⫖↰⪸-49B1","layer":1},{"info":"≦∁⫖↰⪸86A=⫖↰⪸86A","layer":1},{"info":"⫖↰⪸-49B1∑⇟⊟⫖↰⪸86A=NaN","layer":0}]}
+{"id":412,"expression_no_base_symbol":"⨵≀≌($5676$≣⋋)","expression":"⨵≀≌(⫖↰⪸3350≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":520,"operation_count":2,"complexity_ratio":260.0,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":5676,"base":12}}},"used_operators":["srAu1WTS94","Tcnh7f0tEr"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5676","layer":2},{"info":"compute unary expreesion, input=5676, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"⨵≀≌(⫖↰⪸3350≣⋋)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⨵≀≌(⫖↰⪸3350≣⋋)","cot":[{"info":"⫖↰⪸3350≣⋋=⫖↰⪸0","layer":1},{"info":"⨵≀≌⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":413,"expression_no_base_symbol":"$2180$⫥∨⫟$5811$⨐⩸⫘$8150$≎⊠⪸$3358$","expression":"⫖↰⪸1318⫥∨⫟⫖↰⪸3443⨐⩸⫘⫖↰⪸4872≎⊠⪸⫖↰⪸1B3A","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":425,"operation_count":3,"complexity_ratio":141.66666666666666,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2180,"base":12},"right_expr":{"type":"numeric_atoms","value":5811,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":8150,"base":12},"right_expr":{"type":"numeric_atoms","value":3358,"base":12}}},"used_operators":["fu6greOZ01","KYD54nUTWz","bJkvcejdHO"],"dependent_operators":["3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2180","layer":2},{"info":"number node, value=5811","layer":2},{"info":"compute binary expreesion, left_input=2180, right_input=5811, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=8150","layer":2},{"info":"number node, value=3358","layer":2},{"info":"compute binary expreesion, left_input=8150, right_input=3358, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2110377","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2110377, 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":12,"result_base":12,"text":"⫖↰⪸1318⫥∨⫟⫖↰⪸3443⨐⩸⫘⫖↰⪸4872≎⊠⪸⫖↰⪸1B3A=NaN","reverse_text":"NaN=⫖↰⪸1318⫥∨⫟⫖↰⪸3443⨐⩸⫘⫖↰⪸4872≎⊠⪸⫖↰⪸1B3A","cot":[{"info":"⫖↰⪸1318⫥∨⫟⫖↰⪸3443=NaN","layer":1},{"info":"⫖↰⪸4872≎⊠⪸⫖↰⪸1B3A=⫖↰⪸859349","layer":1},{"info":"NaN⨐⩸⫘⫖↰⪸859349=NaN","layer":0}]}
+{"id":414,"expression_no_base_symbol":"$4744$⋥≓≎$1304$⩨($2839$⪠⩆⊳)","expression":"⫖↰⪸28B4⋥≓≎⫖↰⪸908⩨(⫖↰⪸1787⪠⩆⊳)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4744,"base":12},"right_expr":{"type":"numeric_atoms","value":1304,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2839,"base":12}}},"used_operators":["2DlMacCsIx","Qy55tPpLXF","JLbD19bQDL"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4744","layer":2},{"info":"number node, value=1304","layer":2},{"info":"compute binary expreesion, left_input=4744, right_input=1304, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2103","layer":1},{"info":"number node, value=2839","layer":2},{"info":"compute unary expreesion, input=2839, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-2103, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸28B4⋥≓≎⫖↰⪸908⩨(⫖↰⪸1787⪠⩆⊳)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫖↰⪸28B4⋥≓≎⫖↰⪸908⩨(⫖↰⪸1787⪠⩆⊳)","cot":[{"info":"⫖↰⪸28B4⋥≓≎⫖↰⪸908=⫖↰⪸-1273","layer":1},{"info":"⫖↰⪸1787⪠⩆⊳=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-1273⩨⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":415,"expression_no_base_symbol":"+⊝⨔($2191$⊪)","expression":"+⊝⨔(⫖↰⪸1327⊪)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":53,"operation_count":2,"complexity_ratio":26.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2191,"base":12}}},"used_operators":["DhbWaqg5eL","zVYPLywUTj"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2191","layer":2},{"info":"compute unary expreesion, input=2191, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":0}],"base":12,"result_base":12,"text":"+⊝⨔(⫖↰⪸1327⊪)=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔(⫖↰⪸1327⊪)","cot":[{"info":"⫖↰⪸1327⊪=⫖↰⪸0","layer":1},{"info":"+⊝⨔⫖↰⪸0=⫖↰⪸A6A","layer":0}]}
+{"id":416,"expression_no_base_symbol":"$9197$↬$3619$≭(↥$6359$)","expression":"⫖↰⪸53A5↬⫖↰⪸2117≭(↥⫖↰⪸381B)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":643,"operation_count":3,"complexity_ratio":214.33333333333334,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":9197,"base":12},"right_expr":{"type":"numeric_atoms","value":3619,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":6359,"base":12}}},"used_operators":["rxpJgHHUmx","B5M0gjZbta","A8NUZmVepG"],"dependent_operators":["AHs5Up7iyr","rGHVDoGpnC","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=9197","layer":2},{"info":"number node, value=3619","layer":2},{"info":"compute binary expreesion, left_input=9197, right_input=3619, 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=6359","layer":2},{"info":"compute unary expreesion, input=6359, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=35","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=35, 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":12,"result_base":12,"text":"⫖↰⪸53A5↬⫖↰⪸2117≭(↥⫖↰⪸381B)=NaN","reverse_text":"NaN=⫖↰⪸53A5↬⫖↰⪸2117≭(↥⫖↰⪸381B)","cot":[{"info":"⫖↰⪸53A5↬⫖↰⪸2117=NaN","layer":1},{"info":"↥⫖↰⪸381B=⫖↰⪸2B","layer":1},{"info":"NaN≭⫖↰⪸2B=NaN","layer":0}]}
+{"id":417,"expression_no_base_symbol":"($1741$⨵⪆$2922$)⋝⋈⪟(↽≂$6819$)","expression":"(⫖↰⪸1011⨵⪆⫖↰⪸1836)⋝⋈⪟(↽≂⫖↰⪸3B43)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1741,"base":12},"right_expr":{"type":"numeric_atoms","value":2922,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":6819,"base":12}}},"used_operators":["2DDjHMKMc0","2DQ55sFlQl","u6S6b8DprG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1741","layer":2},{"info":"number node, value=2922","layer":2},{"info":"compute binary expreesion, left_input=1741, right_input=2922, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=6819","layer":2},{"info":"compute unary expreesion, input=6819, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-13638","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-13638, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1011⨵⪆⫖↰⪸1836)⋝⋈⪟(↽≂⫖↰⪸3B43)=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⫖↰⪸1011⨵⪆⫖↰⪸1836)⋝⋈⪟(↽≂⫖↰⪸3B43)","cot":[{"info":"⫖↰⪸1011⨵⪆⫖↰⪸1836=⫖↰⪸114","layer":1},{"info":"↽≂⫖↰⪸3B43=⫖↰⪸-7A86","layer":1},{"info":"⫖↰⪸114⋝⋈⪟⫖↰⪸-7A86=⫖↰⪸114","layer":0}]}
+{"id":418,"expression_no_base_symbol":"(⨑⩽⪐$1851$)⋓($4304$⪄$1940$)","expression":"(⨑⩽⪐⫖↰⪸10A3)⋓(⫖↰⪸25A8⪄⫖↰⪸1158)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":112,"operation_count":3,"complexity_ratio":37.333333333333336,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1851,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4304,"base":12},"right_expr":{"type":"numeric_atoms","value":1940,"base":12}}},"used_operators":["T2fj7uvVaJ","AF7qkfDlqP","SUmda5xLS4"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1851","layer":2},{"info":"compute unary expreesion, input=1851, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1578","layer":1},{"info":"number node, value=4304","layer":2},{"info":"number node, value=1940","layer":2},{"info":"compute binary expreesion, left_input=4304, right_input=1940, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-640841","layer":1},{"info":"compute binary expreesion, left_input=-1578, right_input=-640841, 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":12,"result_base":12,"text":"(⨑⩽⪐⫖↰⪸10A3)⋓(⫖↰⪸25A8⪄⫖↰⪸1158)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⨑⩽⪐⫖↰⪸10A3)⋓(⫖↰⪸25A8⪄⫖↰⪸1158)","cot":[{"info":"⨑⩽⪐⫖↰⪸10A3=⫖↰⪸-AB6","layer":1},{"info":"⫖↰⪸25A8⪄⫖↰⪸1158=⫖↰⪸-26AA35","layer":1},{"info":"⫖↰⪸-AB6⋓⫖↰⪸-26AA35=⫖↰⪸0","layer":0}]}
+{"id":419,"expression_no_base_symbol":"$3819$⋓$1000$⪒$1293$⨳⩥⨓$1527$","expression":"⫖↰⪸2263⋓⫖↰⪸6B4⪒⫖↰⪸8B9⨳⩥⨓⫖↰⪸A73","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3819,"base":12},"right_expr":{"type":"numeric_atoms","value":1000,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1293,"base":12},"right_expr":{"type":"numeric_atoms","value":1527,"base":12}}},"used_operators":["f6k1SAg4EE","T2fj7uvVaJ","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸-176","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3819","layer":2},{"info":"number node, value=1000","layer":2},{"info":"compute binary expreesion, left_input=3819, right_input=1000, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=1293","layer":2},{"info":"number node, value=1527","layer":2},{"info":"compute binary expreesion, left_input=1293, right_input=1527, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=234","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=234, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-234","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2263⋓⫖↰⪸6B4⪒⫖↰⪸8B9⨳⩥⨓⫖↰⪸A73=⫖↰⪸-176","reverse_text":"⫖↰⪸-176=⫖↰⪸2263⋓⫖↰⪸6B4⪒⫖↰⪸8B9⨳⩥⨓⫖↰⪸A73","cot":[{"info":"⫖↰⪸2263⋓⫖↰⪸6B4=⫖↰⪸0","layer":1},{"info":"⫖↰⪸8B9⨳⩥⨓⫖↰⪸A73=⫖↰⪸176","layer":1},{"info":"⫖↰⪸0⪒⫖↰⪸176=⫖↰⪸-176","layer":0}]}
+{"id":420,"expression_no_base_symbol":"(⨵≀≌$5049$)↺$1622$≧⫂∧$2370$","expression":"(⨵≀≌⫖↰⪸2B09)↺⫖↰⪸B32≧⫂∧⫖↰⪸1456","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5049,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1622,"base":12},"right_expr":{"type":"numeric_atoms","value":2370,"base":12}}},"used_operators":["7j4O788W3g","srAu1WTS94","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸1121","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5049","layer":2},{"info":"compute unary expreesion, input=5049, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-15147","layer":1},{"info":"number node, value=1622","layer":2},{"info":"number node, value=2370","layer":2},{"info":"compute binary expreesion, left_input=1622, right_input=2370, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1897","layer":1},{"info":"compute binary expreesion, left_input=-15147, right_input=1897, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1897","layer":0}],"base":12,"result_base":12,"text":"(⨵≀≌⫖↰⪸2B09)↺⫖↰⪸B32≧⫂∧⫖↰⪸1456=⫖↰⪸1121","reverse_text":"⫖↰⪸1121=(⨵≀≌⫖↰⪸2B09)↺⫖↰⪸B32≧⫂∧⫖↰⪸1456","cot":[{"info":"⨵≀≌⫖↰⪸2B09=⫖↰⪸-8923","layer":1},{"info":"⫖↰⪸B32≧⫂∧⫖↰⪸1456=⫖↰⪸1121","layer":1},{"info":"⫖↰⪸-8923↺⫖↰⪸1121=⫖↰⪸1121","layer":0}]}
+{"id":421,"expression_no_base_symbol":"(↣≠⋷$5001$)⇼⇔∾$3922$⇷$1712$","expression":"(↣≠⋷⫖↰⪸2A89)⇼⇔∾⫖↰⪸232A⇷⫖↰⪸BA8","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":54919,"operation_count":3,"complexity_ratio":18306.333333333332,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5001,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3922,"base":12},"right_expr":{"type":"numeric_atoms","value":1712,"base":12}}},"used_operators":["tifHPKVTfV","Asc51vEJeQ","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5001","layer":2},{"info":"compute unary expreesion, input=5001, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=3922","layer":2},{"info":"number node, value=1712","layer":2},{"info":"compute binary expreesion, left_input=3922, right_input=1712, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3424","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3424, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↣≠⋷⫖↰⪸2A89)⇼⇔∾⫖↰⪸232A⇷⫖↰⪸BA8=NaN","reverse_text":"NaN=(↣≠⋷⫖↰⪸2A89)⇼⇔∾⫖↰⪸232A⇷⫖↰⪸BA8","cot":[{"info":"↣≠⋷⫖↰⪸2A89=NaN","layer":1},{"info":"⫖↰⪸232A⇷⫖↰⪸BA8=⫖↰⪸1B94","layer":1},{"info":"NaN⇼⇔∾⫖↰⪸1B94=NaN","layer":0}]}
+{"id":422,"expression_no_base_symbol":"$5453$⨟⋌⩍$4134$∑⇟⊟(≉$2220$)","expression":"⫖↰⪸31A5⨟⋌⩍⫖↰⪸2486∑⇟⊟(≉⫖↰⪸1350)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5453,"base":12},"right_expr":{"type":"numeric_atoms","value":4134,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2220,"base":12}}},"used_operators":["U7g4x0WXJJ","rGHVDoGpnC","e1ybzncUwg"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5453","layer":2},{"info":"number node, value=4134","layer":2},{"info":"compute binary expreesion, left_input=5453, right_input=4134, 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=2220","layer":2},{"info":"compute unary expreesion, input=2220, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2751","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2751, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸31A5⨟⋌⩍⫖↰⪸2486∑⇟⊟(≉⫖↰⪸1350)=NaN","reverse_text":"NaN=⫖↰⪸31A5⨟⋌⩍⫖↰⪸2486∑⇟⊟(≉⫖↰⪸1350)","cot":[{"info":"⫖↰⪸31A5⨟⋌⩍⫖↰⪸2486=NaN","layer":1},{"info":"≉⫖↰⪸1350=⫖↰⪸1713","layer":1},{"info":"NaN∑⇟⊟⫖↰⪸1713=NaN","layer":0}]}
+{"id":423,"expression_no_base_symbol":"($2971$⨽$1085$)⩚⊴⇥$2433$⩷∴$2823$","expression":"(⫖↰⪸1877⨽⫖↰⪸765)⩚⊴⇥⫖↰⪸14A9⩷∴⫖↰⪸1773","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2989,"operation_count":3,"complexity_ratio":996.3333333333334,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2971,"base":12},"right_expr":{"type":"numeric_atoms","value":1085,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2433,"base":12},"right_expr":{"type":"numeric_atoms","value":2823,"base":12}}},"used_operators":["NTOWxs364D","8HhzD0ZcuI","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z"],"result":"⫖↰⪸8A51A97","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2971","layer":2},{"info":"number node, value=1085","layer":2},{"info":"compute binary expreesion, left_input=2971, right_input=1085, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-26482464","layer":1},{"info":"number node, value=2433","layer":2},{"info":"number node, value=2823","layer":2},{"info":"compute binary expreesion, left_input=2433, right_input=2823, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-812","layer":1},{"info":"compute binary expreesion, left_input=-26482464, right_input=-812, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=26483155","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1877⨽⫖↰⪸765)⩚⊴⇥⫖↰⪸14A9⩷∴⫖↰⪸1773=⫖↰⪸8A51A97","reverse_text":"⫖↰⪸8A51A97=(⫖↰⪸1877⨽⫖↰⪸765)⩚⊴⇥⫖↰⪸14A9⩷∴⫖↰⪸1773","cot":[{"info":"⫖↰⪸1877⨽⫖↰⪸765=⫖↰⪸-8A51600","layer":1},{"info":"⫖↰⪸14A9⩷∴⫖↰⪸1773=⫖↰⪸-578","layer":1},{"info":"⫖↰⪸-8A51600⩚⊴⇥⫖↰⪸-578=⫖↰⪸8A51A97","layer":0}]}
+{"id":424,"expression_no_base_symbol":"($1552$⪄$1100$)⪮%⊝(⨵≀≌$2028$)","expression":"(⫖↰⪸A94⪄⫖↰⪸778)⪮%⊝(⨵≀≌⫖↰⪸1210)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":107,"operation_count":3,"complexity_ratio":35.666666666666664,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1552,"base":12},"right_expr":{"type":"numeric_atoms","value":1100,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2028,"base":12}}},"used_operators":["IWmyXbctLI","SUmda5xLS4","srAu1WTS94"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫖↰⪸-1A229A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1552","layer":2},{"info":"number node, value=1100","layer":2},{"info":"compute binary expreesion, left_input=1552, right_input=1100, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-230185","layer":1},{"info":"number node, value=2028","layer":2},{"info":"compute unary expreesion, input=2028, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6084","layer":1},{"info":"compute binary expreesion, left_input=-230185, right_input=-6084, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-460054","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A94⪄⫖↰⪸778)⪮%⊝(⨵≀≌⫖↰⪸1210)=⫖↰⪸-1A229A","reverse_text":"⫖↰⪸-1A229A=(⫖↰⪸A94⪄⫖↰⪸778)⪮%⊝(⨵≀≌⫖↰⪸1210)","cot":[{"info":"⫖↰⪸A94⪄⫖↰⪸778=⫖↰⪸-B1261","layer":1},{"info":"⨵≀≌⫖↰⪸1210=⫖↰⪸-3630","layer":1},{"info":"⫖↰⪸-B1261⪮%⊝⫖↰⪸-3630=⫖↰⪸-1A229A","layer":0}]}
+{"id":425,"expression_no_base_symbol":"$7345$⨸⪁$4055$⪒$1052$⩨$1897$","expression":"⫖↰⪸4301⨸⪁⫖↰⪸241B⪒⫖↰⪸738⩨⫖↰⪸1121","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7345,"base":12},"right_expr":{"type":"numeric_atoms","value":4055,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1052,"base":12},"right_expr":{"type":"numeric_atoms","value":1897,"base":12}}},"used_operators":["f6k1SAg4EE","g55IO6H4Gj","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸-11239","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7345","layer":2},{"info":"number node, value=4055","layer":2},{"info":"compute binary expreesion, left_input=7345, right_input=4055, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=22800","layer":1},{"info":"number node, value=1052","layer":2},{"info":"number node, value=1897","layer":2},{"info":"compute binary expreesion, left_input=1052, right_input=1897, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"compute binary expreesion, left_input=22800, right_input=-3, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-22797","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸4301⨸⪁⫖↰⪸241B⪒⫖↰⪸738⩨⫖↰⪸1121=⫖↰⪸-11239","reverse_text":"⫖↰⪸-11239=⫖↰⪸4301⨸⪁⫖↰⪸241B⪒⫖↰⪸738⩨⫖↰⪸1121","cot":[{"info":"⫖↰⪸4301⨸⪁⫖↰⪸241B=⫖↰⪸11240","layer":1},{"info":"⫖↰⪸738⩨⫖↰⪸1121=⫖↰⪸-3","layer":1},{"info":"⫖↰⪸11240⪒⫖↰⪸-3=⫖↰⪸-11239","layer":0}]}
+{"id":426,"expression_no_base_symbol":"($8443$⪠⩆⊳)∼($7412$⇼⇔∾$2495$)","expression":"(⫖↰⪸4A77⪠⩆⊳)∼(⫖↰⪸4358⇼⇔∾⫖↰⪸153B)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":8443,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7412,"base":12},"right_expr":{"type":"numeric_atoms","value":2495,"base":12}}},"used_operators":["DyGG3AbaNP","JLbD19bQDL","tifHPKVTfV"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8443","layer":2},{"info":"compute unary expreesion, input=8443, 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":"number node, value=7412","layer":2},{"info":"number node, value=2495","layer":2},{"info":"compute binary expreesion, left_input=7412, right_input=2495, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4917","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-4917, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸4A77⪠⩆⊳)∼(⫖↰⪸4358⇼⇔∾⫖↰⪸153B)=NaN","reverse_text":"NaN=(⫖↰⪸4A77⪠⩆⊳)∼(⫖↰⪸4358⇼⇔∾⫖↰⪸153B)","cot":[{"info":"⫖↰⪸4A77⪠⩆⊳=⫖↰⪸0","layer":1},{"info":"⫖↰⪸4358⇼⇔∾⫖↰⪸153B=⫖↰⪸-2A19","layer":1},{"info":"⫖↰⪸0∼⫖↰⪸-2A19=NaN","layer":0}]}
+{"id":427,"expression_no_base_symbol":"$1792$⇼⇔∾$2460$⪒($5273$+$7627$)","expression":"⫖↰⪸1054⇼⇔∾⫖↰⪸1510⪒(⫖↰⪸3075+⫖↰⪸44B7)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1792,"base":12},"right_expr":{"type":"numeric_atoms","value":2460,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5273,"base":12},"right_expr":{"type":"numeric_atoms","value":7627,"base":12}}},"used_operators":["f6k1SAg4EE","tifHPKVTfV","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-7A28","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1792","layer":2},{"info":"number node, value=2460","layer":2},{"info":"compute binary expreesion, left_input=1792, right_input=2460, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=668","layer":1},{"info":"number node, value=5273","layer":2},{"info":"number node, value=7627","layer":2},{"info":"compute binary expreesion, left_input=5273, right_input=7627, op_id = W4YGzv6Whe binary_op_definition= 'None', output=12900","layer":1},{"info":"compute binary expreesion, left_input=668, right_input=12900, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-13568","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1054⇼⇔∾⫖↰⪸1510⪒(⫖↰⪸3075+⫖↰⪸44B7)=⫖↰⪸-7A28","reverse_text":"⫖↰⪸-7A28=⫖↰⪸1054⇼⇔∾⫖↰⪸1510⪒(⫖↰⪸3075+⫖↰⪸44B7)","cot":[{"info":"⫖↰⪸1054⇼⇔∾⫖↰⪸1510=⫖↰⪸478","layer":1},{"info":"⫖↰⪸3075+⫖↰⪸44B7=⫖↰⪸7570","layer":1},{"info":"⫖↰⪸478⪒⫖↰⪸7570=⫖↰⪸-7A28","layer":0}]}
+{"id":428,"expression_no_base_symbol":"+⊝⨔$1847$⊴$1985$","expression":"+⊝⨔⫖↰⪸109B⊴⫖↰⪸1195","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":2011,"operation_count":2,"complexity_ratio":1005.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1847,"base":12},"right_expr":{"type":"numeric_atoms","value":1985,"base":12}}},"used_operators":["DhbWaqg5eL","Nsiff2A1zJ"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1847","layer":2},{"info":"number node, value=1985","layer":2},{"info":"compute binary expreesion, left_input=1847, right_input=1985, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":0}],"base":12,"result_base":12,"text":"+⊝⨔⫖↰⪸109B⊴⫖↰⪸1195=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔⫖↰⪸109B⊴⫖↰⪸1195","cot":[{"info":"⫖↰⪸109B⊴⫖↰⪸1195=NaN","layer":1},{"info":"+⊝⨔NaN=⫖↰⪸A6A","layer":0}]}
+{"id":429,"expression_no_base_symbol":"$6194$⨸⪁$5845$⪨≂$1292$⨽$6397$","expression":"⫖↰⪸3702⨸⪁⫖↰⪸3471⪨≂⫖↰⪸8B8⨽⫖↰⪸3851","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1309,"operation_count":3,"complexity_ratio":436.3333333333333,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6194,"base":12},"right_expr":{"type":"numeric_atoms","value":5845,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1292,"base":12},"right_expr":{"type":"numeric_atoms","value":6397,"base":12}}},"used_operators":["sdazOOVcIp","g55IO6H4Gj","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫖↰⪸3470810","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6194","layer":2},{"info":"number node, value=5845","layer":2},{"info":"compute binary expreesion, left_input=6194, right_input=5845, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=24078","layer":1},{"info":"number node, value=1292","layer":2},{"info":"number node, value=6397","layer":2},{"info":"compute binary expreesion, left_input=1292, right_input=6397, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5025669","layer":1},{"info":"compute binary expreesion, left_input=24078, right_input=-5025669, 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=10099596","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3702⨸⪁⫖↰⪸3471⪨≂⫖↰⪸8B8⨽⫖↰⪸3851=⫖↰⪸3470810","reverse_text":"⫖↰⪸3470810=⫖↰⪸3702⨸⪁⫖↰⪸3471⪨≂⫖↰⪸8B8⨽⫖↰⪸3851","cot":[{"info":"⫖↰⪸3702⨸⪁⫖↰⪸3471=⫖↰⪸11B26","layer":1},{"info":"⫖↰⪸8B8⨽⫖↰⪸3851=⫖↰⪸-1824459","layer":1},{"info":"⫖↰⪸11B26⪨≂⫖↰⪸-1824459=⫖↰⪸3470810","layer":0}]}
+{"id":430,"expression_no_base_symbol":"↔(⊄⩳↩$2938$)","expression":"↔(⊄⩳↩⫖↰⪸184A)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2938,"base":12}}},"used_operators":["ruOEQAzv1W","8w2t5hMYqp"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-B2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2938","layer":2},{"info":"compute unary expreesion, input=2938, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-8814","layer":1},{"info":"compute unary expreesion, input=-8814, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":12,"result_base":12,"text":"↔(⊄⩳↩⫖↰⪸184A)=⫖↰⪸-B2","reverse_text":"⫖↰⪸-B2=↔(⊄⩳↩⫖↰⪸184A)","cot":[{"info":"⊄⩳↩⫖↰⪸184A=⫖↰⪸-5126","layer":1},{"info":"↔⫖↰⪸-5126=⫖↰⪸-B2","layer":0}]}
+{"id":431,"expression_no_base_symbol":"$6945$⫥∨⫟$2818$⇼⇔∾($1274$⨸⪁$1387$)","expression":"⫖↰⪸4029⫥∨⫟⫖↰⪸176A⇼⇔∾(⫖↰⪸8A2⨸⪁⫖↰⪸977)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":159,"operation_count":3,"complexity_ratio":53.0,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6945,"base":12},"right_expr":{"type":"numeric_atoms","value":2818,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1274,"base":12},"right_expr":{"type":"numeric_atoms","value":1387,"base":12}}},"used_operators":["tifHPKVTfV","KYD54nUTWz","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6945","layer":2},{"info":"number node, value=2818","layer":2},{"info":"compute binary expreesion, left_input=6945, right_input=2818, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1274","layer":2},{"info":"number node, value=1387","layer":2},{"info":"compute binary expreesion, left_input=1274, right_input=1387, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5322","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5322, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸4029⫥∨⫟⫖↰⪸176A⇼⇔∾(⫖↰⪸8A2⨸⪁⫖↰⪸977)=NaN","reverse_text":"NaN=⫖↰⪸4029⫥∨⫟⫖↰⪸176A⇼⇔∾(⫖↰⪸8A2⨸⪁⫖↰⪸977)","cot":[{"info":"⫖↰⪸4029⫥∨⫟⫖↰⪸176A=NaN","layer":1},{"info":"⫖↰⪸8A2⨸⪁⫖↰⪸977=⫖↰⪸30B6","layer":1},{"info":"NaN⇼⇔∾⫖↰⪸30B6=NaN","layer":0}]}
+{"id":432,"expression_no_base_symbol":"($2102$%$1000$)⪄(⪝⪂⫅$4965$)","expression":"(⫖↰⪸1272%⫖↰⪸6B4)⪄(⪝⪂⫅⫖↰⪸2A59)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":246,"operation_count":3,"complexity_ratio":82.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2102,"base":12},"right_expr":{"type":"numeric_atoms","value":1000,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4965,"base":12}}},"used_operators":["SUmda5xLS4","k8jYdgA6NY","XTarYq4gQB"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫖↰⪸B8300B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2102","layer":2},{"info":"number node, value=1000","layer":2},{"info":"compute binary expreesion, left_input=2102, right_input=1000, op_id = k8jYdgA6NY binary_op_definition= 'None', output=102","layer":1},{"info":"number node, value=4965","layer":2},{"info":"compute unary expreesion, input=4965, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-729855","layer":1},{"info":"compute binary expreesion, left_input=102, right_input=-729855, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=2908235","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1272%⫖↰⪸6B4)⪄(⪝⪂⫅⫖↰⪸2A59)=⫖↰⪸B8300B","reverse_text":"⫖↰⪸B8300B=(⫖↰⪸1272%⫖↰⪸6B4)⪄(⪝⪂⫅⫖↰⪸2A59)","cot":[{"info":"⫖↰⪸1272%⫖↰⪸6B4=⫖↰⪸86","layer":1},{"info":"⪝⪂⫅⫖↰⪸2A59=⫖↰⪸-2B2453","layer":1},{"info":"⫖↰⪸86⪄⫖↰⪸-2B2453=⫖↰⪸B8300B","layer":0}]}
+{"id":433,"expression_no_base_symbol":"($6641$⪨≂$2657$)⩷∴($4425$⋝⋈⪟$2057$)","expression":"(⫖↰⪸3A15⪨≂⫖↰⪸1655)⩷∴(⫖↰⪸2689⋝⋈⪟⫖↰⪸1235)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6641,"base":12},"right_expr":{"type":"numeric_atoms","value":2657,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4425,"base":12},"right_expr":{"type":"numeric_atoms","value":2057,"base":12}}},"used_operators":["9FxExcQeMw","sdazOOVcIp","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸424A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6641","layer":2},{"info":"number node, value=2657","layer":2},{"info":"compute binary expreesion, left_input=6641, right_input=2657, 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=8070","layer":1},{"info":"number node, value=4425","layer":2},{"info":"number node, value=2057","layer":2},{"info":"compute binary expreesion, left_input=4425, right_input=2057, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4425","layer":1},{"info":"compute binary expreesion, left_input=8070, right_input=4425, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7258","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3A15⪨≂⫖↰⪸1655)⩷∴(⫖↰⪸2689⋝⋈⪟⫖↰⪸1235)=⫖↰⪸424A","reverse_text":"⫖↰⪸424A=(⫖↰⪸3A15⪨≂⫖↰⪸1655)⩷∴(⫖↰⪸2689⋝⋈⪟⫖↰⪸1235)","cot":[{"info":"⫖↰⪸3A15⪨≂⫖↰⪸1655=⫖↰⪸4806","layer":1},{"info":"⫖↰⪸2689⋝⋈⪟⫖↰⪸1235=⫖↰⪸2689","layer":1},{"info":"⫖↰⪸4806⩷∴⫖↰⪸2689=⫖↰⪸424A","layer":0}]}
+{"id":434,"expression_no_base_symbol":"⪲⇎($1045$∲⫓$2236$)","expression":"⪲⇎(⫖↰⪸731∲⫓⫖↰⪸1364)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1045,"base":12},"right_expr":{"type":"numeric_atoms","value":2236,"base":12}}},"used_operators":["XPYlsWDdGa","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1045","layer":2},{"info":"number node, value=2236","layer":2},{"info":"compute binary expreesion, left_input=1045, right_input=2236, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"⪲⇎(⫖↰⪸731∲⫓⫖↰⪸1364)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⪲⇎(⫖↰⪸731∲⫓⫖↰⪸1364)","cot":[{"info":"⫖↰⪸731∲⫓⫖↰⪸1364=⫖↰⪸0","layer":1},{"info":"⪲⇎⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":435,"expression_no_base_symbol":"$2524$⨰$1038$↙($2546$⪠⩆⊳)","expression":"⫖↰⪸1564⨰⫖↰⪸726↙(⫖↰⪸1582⪠⩆⊳)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2524,"base":12},"right_expr":{"type":"numeric_atoms","value":1038,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2546,"base":12}}},"used_operators":["yyfyN0ffXY","eewbuw0ToL","JLbD19bQDL"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2524","layer":2},{"info":"number node, value=1038","layer":2},{"info":"compute binary expreesion, left_input=2524, right_input=1038, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1496","layer":1},{"info":"number node, value=2546","layer":2},{"info":"compute unary expreesion, input=2546, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1496, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1564⨰⫖↰⪸726↙(⫖↰⪸1582⪠⩆⊳)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫖↰⪸1564⨰⫖↰⪸726↙(⫖↰⪸1582⪠⩆⊳)","cot":[{"info":"⫖↰⪸1564⨰⫖↰⪸726=⫖↰⪸A48","layer":1},{"info":"⫖↰⪸1582⪠⩆⊳=⫖↰⪸0","layer":1},{"info":"⫖↰⪸A48↙⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":436,"expression_no_base_symbol":"($1073$⊦⊿)-$3078$⋳⪒$4497$","expression":"(⫖↰⪸755⊦⊿)-⫖↰⪸1946⋳⪒⫖↰⪸2729","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1073,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3078,"base":12},"right_expr":{"type":"numeric_atoms","value":4497,"base":12}}},"used_operators":["rysDP5nf3Z","14qkJME0vr","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-2852","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1073","layer":2},{"info":"compute unary expreesion, input=1073, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3298","layer":1},{"info":"number node, value=3078","layer":2},{"info":"number node, value=4497","layer":2},{"info":"compute binary expreesion, left_input=3078, right_input=4497, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1372","layer":1},{"info":"compute binary expreesion, left_input=-3298, right_input=1372, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4670","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸755⊦⊿)-⫖↰⪸1946⋳⪒⫖↰⪸2729=⫖↰⪸-2852","reverse_text":"⫖↰⪸-2852=(⫖↰⪸755⊦⊿)-⫖↰⪸1946⋳⪒⫖↰⪸2729","cot":[{"info":"⫖↰⪸755⊦⊿=⫖↰⪸-1AAA","layer":1},{"info":"⫖↰⪸1946⋳⪒⫖↰⪸2729=⫖↰⪸964","layer":1},{"info":"⫖↰⪸-1AAA-⫖↰⪸964=⫖↰⪸-2852","layer":0}]}
+{"id":437,"expression_no_base_symbol":"($6300$⊉≛↸$5363$)↺$4071$⪛$2224$","expression":"(⫖↰⪸3790⊉≛↸⫖↰⪸312B)↺⫖↰⪸2433⪛⫖↰⪸1354","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6300,"base":12},"right_expr":{"type":"numeric_atoms","value":5363,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4071,"base":12},"right_expr":{"type":"numeric_atoms","value":2224,"base":12}}},"used_operators":["7j4O788W3g","DZ8iAZOCBD","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫖↰⪸109B","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6300","layer":2},{"info":"number node, value=5363","layer":2},{"info":"compute binary expreesion, left_input=6300, right_input=5363, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12600","layer":1},{"info":"number node, value=4071","layer":2},{"info":"number node, value=2224","layer":2},{"info":"compute binary expreesion, left_input=4071, right_input=2224, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1847","layer":1},{"info":"compute binary expreesion, left_input=12600, right_input=1847, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1847","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3790⊉≛↸⫖↰⪸312B)↺⫖↰⪸2433⪛⫖↰⪸1354=⫖↰⪸109B","reverse_text":"⫖↰⪸109B=(⫖↰⪸3790⊉≛↸⫖↰⪸312B)↺⫖↰⪸2433⪛⫖↰⪸1354","cot":[{"info":"⫖↰⪸3790⊉≛↸⫖↰⪸312B=⫖↰⪸7360","layer":1},{"info":"⫖↰⪸2433⪛⫖↰⪸1354=⫖↰⪸109B","layer":1},{"info":"⫖↰⪸7360↺⫖↰⪸109B=⫖↰⪸109B","layer":0}]}
+{"id":438,"expression_no_base_symbol":"⊥($1172$⇼⇔∾$7539$)","expression":"⊥(⫖↰⪸818⇼⇔∾⫖↰⪸4443)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1172,"base":12},"right_expr":{"type":"numeric_atoms","value":7539,"base":12}}},"used_operators":["Q3PJZHRvZv","tifHPKVTfV"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1172","layer":2},{"info":"number node, value=7539","layer":2},{"info":"compute binary expreesion, left_input=1172, right_input=7539, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6367","layer":1},{"info":"compute unary expreesion, input=6367, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊥(⫖↰⪸818⇼⇔∾⫖↰⪸4443)=NaN","reverse_text":"NaN=⊥(⫖↰⪸818⇼⇔∾⫖↰⪸4443)","cot":[{"info":"⫖↰⪸818⇼⇔∾⫖↰⪸4443=⫖↰⪸3827","layer":1},{"info":"⊥⫖↰⪸3827=NaN","layer":0}]}
+{"id":439,"expression_no_base_symbol":"(↔$2977$)⪠⩆⊳","expression":"(↔⫖↰⪸1881)⪠⩆⊳","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13,"operation_count":2,"complexity_ratio":6.5,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2977,"base":12}}},"used_operators":["JLbD19bQDL","ruOEQAzv1W"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2977","layer":2},{"info":"compute unary expreesion, input=2977, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2704","layer":1},{"info":"compute unary expreesion, input=-2704, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(↔⫖↰⪸1881)⪠⩆⊳=⫖↰⪸0","reverse_text":"⫖↰⪸0=(↔⫖↰⪸1881)⪠⩆⊳","cot":[{"info":"↔⫖↰⪸1881=⫖↰⪸-1694","layer":1},{"info":"⫖↰⪸-1694⪠⩆⊳=⫖↰⪸0","layer":0}]}
+{"id":440,"expression_no_base_symbol":"(⊄⩳↩$5481$)↺($1031$⨳⩥⨓$9078$)","expression":"(⊄⩳↩⫖↰⪸3209)↺(⫖↰⪸71B⨳⩥⨓⫖↰⪸5306)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5481,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1031,"base":12},"right_expr":{"type":"numeric_atoms","value":9078,"base":12}}},"used_operators":["7j4O788W3g","8w2t5hMYqp","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸47A7","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5481","layer":2},{"info":"compute unary expreesion, input=5481, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-16443","layer":1},{"info":"number node, value=1031","layer":2},{"info":"number node, value=9078","layer":2},{"info":"compute binary expreesion, left_input=1031, right_input=9078, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=8047","layer":1},{"info":"compute binary expreesion, left_input=-16443, right_input=8047, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8047","layer":0}],"base":12,"result_base":12,"text":"(⊄⩳↩⫖↰⪸3209)↺(⫖↰⪸71B⨳⩥⨓⫖↰⪸5306)=⫖↰⪸47A7","reverse_text":"⫖↰⪸47A7=(⊄⩳↩⫖↰⪸3209)↺(⫖↰⪸71B⨳⩥⨓⫖↰⪸5306)","cot":[{"info":"⊄⩳↩⫖↰⪸3209=⫖↰⪸-9623","layer":1},{"info":"⫖↰⪸71B⨳⩥⨓⫖↰⪸5306=⫖↰⪸47A7","layer":1},{"info":"⫖↰⪸-9623↺⫖↰⪸47A7=⫖↰⪸47A7","layer":0}]}
+{"id":441,"expression_no_base_symbol":"($1040$⨳⩥⨓$3560$)⨽$3430$⊴$2311$","expression":"(⫖↰⪸728⨳⩥⨓⫖↰⪸2088)⨽⫖↰⪸1B9A⊴⫖↰⪸1407","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5952,"operation_count":3,"complexity_ratio":1984.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1040,"base":12},"right_expr":{"type":"numeric_atoms","value":3560,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3430,"base":12},"right_expr":{"type":"numeric_atoms","value":2311,"base":12}}},"used_operators":["8HhzD0ZcuI","nCS4ZIUYfx","Nsiff2A1zJ"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1040","layer":2},{"info":"number node, value=3560","layer":2},{"info":"compute binary expreesion, left_input=1040, right_input=3560, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2520","layer":1},{"info":"number node, value=3430","layer":2},{"info":"number node, value=2311","layer":2},{"info":"compute binary expreesion, left_input=3430, right_input=2311, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2520, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸728⨳⩥⨓⫖↰⪸2088)⨽⫖↰⪸1B9A⊴⫖↰⪸1407=NaN","reverse_text":"NaN=(⫖↰⪸728⨳⩥⨓⫖↰⪸2088)⨽⫖↰⪸1B9A⊴⫖↰⪸1407","cot":[{"info":"⫖↰⪸728⨳⩥⨓⫖↰⪸2088=⫖↰⪸1560","layer":1},{"info":"⫖↰⪸1B9A⊴⫖↰⪸1407=NaN","layer":1},{"info":"⫖↰⪸1560⨽NaN=NaN","layer":0}]}
+{"id":442,"expression_no_base_symbol":"(↽≂$4606$)≋⫹","expression":"(↽≂⫖↰⪸27BA)≋⫹","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4606,"base":12}}},"used_operators":["N41Kp7NANJ","u6S6b8DprG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸A7B4","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4606","layer":2},{"info":"compute unary expreesion, input=4606, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9212","layer":1},{"info":"compute unary expreesion, input=-9212, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=18424","layer":0}],"base":12,"result_base":12,"text":"(↽≂⫖↰⪸27BA)≋⫹=⫖↰⪸A7B4","reverse_text":"⫖↰⪸A7B4=(↽≂⫖↰⪸27BA)≋⫹","cot":[{"info":"↽≂⫖↰⪸27BA=⫖↰⪸-53B8","layer":1},{"info":"⫖↰⪸-53B8≋⫹=⫖↰⪸A7B4","layer":0}]}
+{"id":443,"expression_no_base_symbol":"(⫛⫱⨽$1280$)⩠","expression":"(⫛⫱⨽⫖↰⪸8A8)⩠","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1440,"operation_count":2,"complexity_ratio":720.0,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1280,"base":12}}},"used_operators":["sJAwomhLZr","DlLNRPXxWL"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1280","layer":2},{"info":"compute unary expreesion, input=1280, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫛⫱⨽⫖↰⪸8A8)⩠=NaN","reverse_text":"NaN=(⫛⫱⨽⫖↰⪸8A8)⩠","cot":[{"info":"⫛⫱⨽⫖↰⪸8A8=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⩠=NaN","layer":0}]}
+{"id":444,"expression_no_base_symbol":"$2577$⋳⪒$3879$⨐⩸⫘($5185$⨳⩥⨓$7074$)","expression":"⫖↰⪸15A9⋳⪒⫖↰⪸22B3⨐⩸⫘(⫖↰⪸3001⨳⩥⨓⫖↰⪸4116)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2577,"base":12},"right_expr":{"type":"numeric_atoms","value":3879,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5185,"base":12},"right_expr":{"type":"numeric_atoms","value":7074,"base":12}}},"used_operators":["fu6greOZ01","12rbrZMWeM","nCS4ZIUYfx"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2577","layer":2},{"info":"number node, value=3879","layer":2},{"info":"compute binary expreesion, left_input=2577, right_input=3879, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=988","layer":1},{"info":"number node, value=5185","layer":2},{"info":"number node, value=7074","layer":2},{"info":"compute binary expreesion, left_input=5185, right_input=7074, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1889","layer":1},{"info":"compute binary expreesion, left_input=988, right_input=1889, 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":12,"result_base":12,"text":"⫖↰⪸15A9⋳⪒⫖↰⪸22B3⨐⩸⫘(⫖↰⪸3001⨳⩥⨓⫖↰⪸4116)=NaN","reverse_text":"NaN=⫖↰⪸15A9⋳⪒⫖↰⪸22B3⨐⩸⫘(⫖↰⪸3001⨳⩥⨓⫖↰⪸4116)","cot":[{"info":"⫖↰⪸15A9⋳⪒⫖↰⪸22B3=⫖↰⪸6A4","layer":1},{"info":"⫖↰⪸3001⨳⩥⨓⫖↰⪸4116=⫖↰⪸1115","layer":1},{"info":"⫖↰⪸6A4⨐⩸⫘⫖↰⪸1115=NaN","layer":0}]}
+{"id":445,"expression_no_base_symbol":"$4199$⫥∨⫟$2243$+(⇁⨣⪵$1512$)","expression":"⫖↰⪸251B⫥∨⫟⫖↰⪸136B+(⇁⨣⪵⫖↰⪸A60)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":156,"operation_count":3,"complexity_ratio":52.0,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4199,"base":12},"right_expr":{"type":"numeric_atoms","value":2243,"base":12}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1512,"base":12}}},"used_operators":["W4YGzv6Whe","KYD54nUTWz","inkyxCbjAn"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4199","layer":2},{"info":"number node, value=2243","layer":2},{"info":"compute binary expreesion, left_input=4199, right_input=2243, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1512","layer":2},{"info":"compute unary expreesion, input=1512, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸251B⫥∨⫟⫖↰⪸136B+(⇁⨣⪵⫖↰⪸A60)=NaN","reverse_text":"NaN=⫖↰⪸251B⫥∨⫟⫖↰⪸136B+(⇁⨣⪵⫖↰⪸A60)","cot":[{"info":"⫖↰⪸251B⫥∨⫟⫖↰⪸136B=NaN","layer":1},{"info":"⇁⨣⪵⫖↰⪸A60=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
+{"id":446,"expression_no_base_symbol":"$1130$≹⇙⪍$4490$⋓(↩$1834$)","expression":"⫖↰⪸7A2≹⇙⪍⫖↰⪸2722⋓(↩⫖↰⪸108A)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30,"operation_count":3,"complexity_ratio":10.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1130,"base":12},"right_expr":{"type":"numeric_atoms","value":4490,"base":12}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1834,"base":12}}},"used_operators":["T2fj7uvVaJ","AHs5Up7iyr","jLgFTUHLKL"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1130","layer":2},{"info":"number node, value=4490","layer":2},{"info":"compute binary expreesion, left_input=1130, right_input=4490, 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=1834","layer":2},{"info":"compute unary expreesion, input=1834, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-11892","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-11892, 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":12,"result_base":12,"text":"⫖↰⪸7A2≹⇙⪍⫖↰⪸2722⋓(↩⫖↰⪸108A)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫖↰⪸7A2≹⇙⪍⫖↰⪸2722⋓(↩⫖↰⪸108A)","cot":[{"info":"⫖↰⪸7A2≹⇙⪍⫖↰⪸2722=NaN","layer":1},{"info":"↩⫖↰⪸108A=⫖↰⪸-6A70","layer":1},{"info":"NaN⋓⫖↰⪸-6A70=⫖↰⪸0","layer":0}]}
+{"id":447,"expression_no_base_symbol":"($1087$⋝⋈⪟$4973$)⨓$3142$⪘⫢$1017$","expression":"(⫖↰⪸767⋝⋈⪟⫖↰⪸2A65)⨓⫖↰⪸199A⪘⫢⫖↰⪸709","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6184,"operation_count":3,"complexity_ratio":2061.3333333333335,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1087,"base":12},"right_expr":{"type":"numeric_atoms","value":4973,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3142,"base":12},"right_expr":{"type":"numeric_atoms","value":1017,"base":12}}},"used_operators":["3ViojmjbAp","2DDjHMKMc0","oacrs7FA3X"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫖↰⪸-3697","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1087","layer":2},{"info":"number node, value=4973","layer":2},{"info":"compute binary expreesion, left_input=1087, right_input=4973, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1087","layer":1},{"info":"number node, value=3142","layer":2},{"info":"number node, value=1017","layer":2},{"info":"compute binary expreesion, left_input=3142, right_input=1017, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6160","layer":1},{"info":"compute binary expreesion, left_input=1087, right_input=6160, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6163","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸767⋝⋈⪟⫖↰⪸2A65)⨓⫖↰⪸199A⪘⫢⫖↰⪸709=⫖↰⪸-3697","reverse_text":"⫖↰⪸-3697=(⫖↰⪸767⋝⋈⪟⫖↰⪸2A65)⨓⫖↰⪸199A⪘⫢⫖↰⪸709","cot":[{"info":"⫖↰⪸767⋝⋈⪟⫖↰⪸2A65=⫖↰⪸767","layer":1},{"info":"⫖↰⪸199A⪘⫢⫖↰⪸709=⫖↰⪸3694","layer":1},{"info":"⫖↰⪸767⨓⫖↰⪸3694=⫖↰⪸-3697","layer":0}]}
+{"id":448,"expression_no_base_symbol":"($2257$⫸⊐$1247$)≭($1897$⨁⊸⫻)","expression":"(⫖↰⪸1381⫸⊐⫖↰⪸87B)≭(⫖↰⪸1121⨁⊸⫻)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2257,"base":12},"right_expr":{"type":"numeric_atoms","value":1247,"base":12}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1897,"base":12}}},"used_operators":["rxpJgHHUmx","mqXw5SEYmG","glklzrTFfD"],"dependent_operators":["AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2257","layer":2},{"info":"number node, value=1247","layer":2},{"info":"compute binary expreesion, left_input=2257, right_input=1247, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4863","layer":1},{"info":"number node, value=1897","layer":2},{"info":"compute unary expreesion, input=1897, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1897","layer":1},{"info":"compute binary expreesion, left_input=4863, right_input=1897, 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":12,"result_base":12,"text":"(⫖↰⪸1381⫸⊐⫖↰⪸87B)≭(⫖↰⪸1121⨁⊸⫻)=NaN","reverse_text":"NaN=(⫖↰⪸1381⫸⊐⫖↰⪸87B)≭(⫖↰⪸1121⨁⊸⫻)","cot":[{"info":"⫖↰⪸1381⫸⊐⫖↰⪸87B=⫖↰⪸2993","layer":1},{"info":"⫖↰⪸1121⨁⊸⫻=⫖↰⪸1121","layer":1},{"info":"⫖↰⪸2993≭⫖↰⪸1121=NaN","layer":0}]}
+{"id":449,"expression_no_base_symbol":"(↩$3029$)⨳⩥⨓$1464$⪘⫢$1092$","expression":"(↩⫖↰⪸1905)⨳⩥⨓⫖↰⪸A20⪘⫢⫖↰⪸770","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3029,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1464,"base":12},"right_expr":{"type":"numeric_atoms","value":1092,"base":12}}},"used_operators":["nCS4ZIUYfx","jLgFTUHLKL","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫖↰⪸12054","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3029","layer":2},{"info":"compute unary expreesion, input=3029, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-21452","layer":1},{"info":"number node, value=1464","layer":2},{"info":"number node, value=1092","layer":2},{"info":"compute binary expreesion, left_input=1464, right_input=1092, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2804","layer":1},{"info":"compute binary expreesion, left_input=-21452, right_input=2804, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=24256","layer":0}],"base":12,"result_base":12,"text":"(↩⫖↰⪸1905)⨳⩥⨓⫖↰⪸A20⪘⫢⫖↰⪸770=⫖↰⪸12054","reverse_text":"⫖↰⪸12054=(↩⫖↰⪸1905)⨳⩥⨓⫖↰⪸A20⪘⫢⫖↰⪸770","cot":[{"info":"↩⫖↰⪸1905=⫖↰⪸-104B8","layer":1},{"info":"⫖↰⪸A20⪘⫢⫖↰⪸770=⫖↰⪸1758","layer":1},{"info":"⫖↰⪸-104B8⨳⩥⨓⫖↰⪸1758=⫖↰⪸12054","layer":0}]}
+{"id":450,"expression_no_base_symbol":"⇁⨣⪵$1300$⨓$1624$","expression":"⇁⨣⪵⫖↰⪸904⨓⫖↰⪸B34","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1631,"operation_count":2,"complexity_ratio":815.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1300,"base":12},"right_expr":{"type":"numeric_atoms","value":1624,"base":12}}},"used_operators":["inkyxCbjAn","3ViojmjbAp"],"dependent_operators":["B5M0gjZbta","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1300","layer":2},{"info":"number node, value=1624","layer":2},{"info":"compute binary expreesion, left_input=1300, right_input=1624, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1627","layer":1},{"info":"compute unary expreesion, input=-1627, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⇁⨣⪵⫖↰⪸904⨓⫖↰⪸B34=NaN","reverse_text":"NaN=⇁⨣⪵⫖↰⪸904⨓⫖↰⪸B34","cot":[{"info":"⫖↰⪸904⨓⫖↰⪸B34=⫖↰⪸-B37","layer":1},{"info":"⇁⨣⪵⫖↰⪸-B37=NaN","layer":0}]}
+{"id":451,"expression_no_base_symbol":"($4530$+$8067$)-$3012$⨳⩥⨓$1024$","expression":"(⫖↰⪸2756+⫖↰⪸4803)-⫖↰⪸18B0⨳⩥⨓⫖↰⪸714","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4530,"base":12},"right_expr":{"type":"numeric_atoms","value":8067,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3012,"base":12},"right_expr":{"type":"numeric_atoms","value":1024,"base":12}}},"used_operators":["rysDP5nf3Z","W4YGzv6Whe","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸8535","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4530","layer":2},{"info":"number node, value=8067","layer":2},{"info":"compute binary expreesion, left_input=4530, right_input=8067, op_id = W4YGzv6Whe binary_op_definition= 'None', output=12597","layer":1},{"info":"number node, value=3012","layer":2},{"info":"number node, value=1024","layer":2},{"info":"compute binary expreesion, left_input=3012, right_input=1024, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1988","layer":1},{"info":"compute binary expreesion, left_input=12597, right_input=-1988, op_id = rysDP5nf3Z binary_op_definition= 'None', output=14585","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2756+⫖↰⪸4803)-⫖↰⪸18B0⨳⩥⨓⫖↰⪸714=⫖↰⪸8535","reverse_text":"⫖↰⪸8535=(⫖↰⪸2756+⫖↰⪸4803)-⫖↰⪸18B0⨳⩥⨓⫖↰⪸714","cot":[{"info":"⫖↰⪸2756+⫖↰⪸4803=⫖↰⪸7359","layer":1},{"info":"⫖↰⪸18B0⨳⩥⨓⫖↰⪸714=⫖↰⪸-1198","layer":1},{"info":"⫖↰⪸7359-⫖↰⪸-1198=⫖↰⪸8535","layer":0}]}
+{"id":452,"expression_no_base_symbol":"$6390$%$2697$⫡⨏$5197$⩚⊴⇥$1396$","expression":"⫖↰⪸3846%⫖↰⪸1689⫡⨏⫖↰⪸3011⩚⊴⇥⫖↰⪸984","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6390,"base":12},"right_expr":{"type":"numeric_atoms","value":2697,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5197,"base":12},"right_expr":{"type":"numeric_atoms","value":1396,"base":12}}},"used_operators":["QMFrweE19q","k8jYdgA6NY","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-4529","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6390","layer":2},{"info":"number node, value=2697","layer":2},{"info":"compute binary expreesion, left_input=6390, right_input=2697, op_id = k8jYdgA6NY binary_op_definition= 'None', output=996","layer":1},{"info":"number node, value=5197","layer":2},{"info":"number node, value=1396","layer":2},{"info":"compute binary expreesion, left_input=5197, right_input=1396, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6714","layer":1},{"info":"compute binary expreesion, left_input=996, right_input=-6714, 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=-7665","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3846%⫖↰⪸1689⫡⨏⫖↰⪸3011⩚⊴⇥⫖↰⪸984=⫖↰⪸-4529","reverse_text":"⫖↰⪸-4529=⫖↰⪸3846%⫖↰⪸1689⫡⨏⫖↰⪸3011⩚⊴⇥⫖↰⪸984","cot":[{"info":"⫖↰⪸3846%⫖↰⪸1689=⫖↰⪸6B0","layer":1},{"info":"⫖↰⪸3011⩚⊴⇥⫖↰⪸984=⫖↰⪸-3A76","layer":1},{"info":"⫖↰⪸6B0⫡⨏⫖↰⪸-3A76=⫖↰⪸-4529","layer":0}]}
+{"id":453,"expression_no_base_symbol":"($5506$∲⫓$2520$)∑⇟⊟($4119$⊉≛↸$6550$)","expression":"(⫖↰⪸322A∲⫓⫖↰⪸1560)∑⇟⊟(⫖↰⪸2473⊉≛↸⫖↰⪸395A)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5506,"base":12},"right_expr":{"type":"numeric_atoms","value":2520,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4119,"base":12},"right_expr":{"type":"numeric_atoms","value":6550,"base":12}}},"used_operators":["U7g4x0WXJJ","i8ToyICDmI","DZ8iAZOCBD"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5506","layer":2},{"info":"number node, value=2520","layer":2},{"info":"compute binary expreesion, left_input=5506, right_input=2520, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=4119","layer":2},{"info":"number node, value=6550","layer":2},{"info":"compute binary expreesion, left_input=4119, right_input=6550, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8238","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=8238, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸322A∲⫓⫖↰⪸1560)∑⇟⊟(⫖↰⪸2473⊉≛↸⫖↰⪸395A)=NaN","reverse_text":"NaN=(⫖↰⪸322A∲⫓⫖↰⪸1560)∑⇟⊟(⫖↰⪸2473⊉≛↸⫖↰⪸395A)","cot":[{"info":"⫖↰⪸322A∲⫓⫖↰⪸1560=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2473⊉≛↸⫖↰⪸395A=⫖↰⪸4926","layer":1},{"info":"⫖↰⪸0∑⇟⊟⫖↰⪸4926=NaN","layer":0}]}
+{"id":454,"expression_no_base_symbol":"⫓⪴($1021$≋⫹)","expression":"⫓⪴(⫖↰⪸711≋⫹)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2045,"operation_count":2,"complexity_ratio":1022.5,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1021,"base":12}}},"used_operators":["eLxqMNBOBk","N41Kp7NANJ"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸1491084","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1021","layer":2},{"info":"compute unary expreesion, input=1021, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2042","layer":1},{"info":"compute unary expreesion, input=-2042, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4169764","layer":0}],"base":12,"result_base":12,"text":"⫓⪴(⫖↰⪸711≋⫹)=⫖↰⪸1491084","reverse_text":"⫖↰⪸1491084=⫓⪴(⫖↰⪸711≋⫹)","cot":[{"info":"⫖↰⪸711≋⫹=⫖↰⪸-1222","layer":1},{"info":"⫓⪴⫖↰⪸-1222=⫖↰⪸1491084","layer":0}]}
+{"id":455,"expression_no_base_symbol":"∥⊫$1648$⨰$4438$","expression":"∥⊫⫖↰⪸B54⨰⫖↰⪸269A","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1648,"base":12},"right_expr":{"type":"numeric_atoms","value":4438,"base":12}}},"used_operators":["P8v4zCKN1o","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-47","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1648","layer":2},{"info":"number node, value=4438","layer":2},{"info":"compute binary expreesion, left_input=1648, right_input=4438, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2780","layer":1},{"info":"compute unary expreesion, input=-2780, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":0}],"base":12,"result_base":12,"text":"∥⊫⫖↰⪸B54⨰⫖↰⪸269A=⫖↰⪸-47","reverse_text":"⫖↰⪸-47=∥⊫⫖↰⪸B54⨰⫖↰⪸269A","cot":[{"info":"⫖↰⪸B54⨰⫖↰⪸269A=⫖↰⪸-1738","layer":1},{"info":"∥⊫⫖↰⪸-1738=⫖↰⪸-47","layer":0}]}
+{"id":456,"expression_no_base_symbol":"↽≂$1527$≹⇙⪍$1442$","expression":"↽≂⫖↰⪸A73≹⇙⪍⫖↰⪸A02","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1527,"base":12},"right_expr":{"type":"numeric_atoms","value":1442,"base":12}}},"used_operators":["u6S6b8DprG","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1527","layer":2},{"info":"number node, value=1442","layer":2},{"info":"compute binary expreesion, left_input=1527, right_input=1442, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↽≂⫖↰⪸A73≹⇙⪍⫖↰⪸A02=NaN","reverse_text":"NaN=↽≂⫖↰⪸A73≹⇙⪍⫖↰⪸A02","cot":[{"info":"⫖↰⪸A73≹⇙⪍⫖↰⪸A02=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
+{"id":457,"expression_no_base_symbol":"($1137$⨰$3291$)⨓($3616$↺$8309$)","expression":"(⫖↰⪸7A9⨰⫖↰⪸1AA3)⨓(⫖↰⪸2114↺⫖↰⪸4985)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8323,"operation_count":3,"complexity_ratio":2774.3333333333335,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1137,"base":12},"right_expr":{"type":"numeric_atoms","value":3291,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3616,"base":12},"right_expr":{"type":"numeric_atoms","value":8309,"base":12}}},"used_operators":["3ViojmjbAp","eewbuw0ToL","7j4O788W3g"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-4988","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1137","layer":2},{"info":"number node, value=3291","layer":2},{"info":"compute binary expreesion, left_input=1137, right_input=3291, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2144","layer":1},{"info":"number node, value=3616","layer":2},{"info":"number node, value=8309","layer":2},{"info":"compute binary expreesion, left_input=3616, right_input=8309, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8309","layer":1},{"info":"compute binary expreesion, left_input=-2144, right_input=8309, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8312","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸7A9⨰⫖↰⪸1AA3)⨓(⫖↰⪸2114↺⫖↰⪸4985)=⫖↰⪸-4988","reverse_text":"⫖↰⪸-4988=(⫖↰⪸7A9⨰⫖↰⪸1AA3)⨓(⫖↰⪸2114↺⫖↰⪸4985)","cot":[{"info":"⫖↰⪸7A9⨰⫖↰⪸1AA3=⫖↰⪸-12A8","layer":1},{"info":"⫖↰⪸2114↺⫖↰⪸4985=⫖↰⪸4985","layer":1},{"info":"⫖↰⪸-12A8⨓⫖↰⪸4985=⫖↰⪸-4988","layer":0}]}
+{"id":458,"expression_no_base_symbol":"↯⪼($1042$↺$1124$)","expression":"↯⪼(⫖↰⪸72A↺⫖↰⪸798)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":33,"operation_count":2,"complexity_ratio":16.5,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1042,"base":12},"right_expr":{"type":"numeric_atoms","value":1124,"base":12}}},"used_operators":["8jW3W4yZS5","7j4O788W3g"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1042","layer":2},{"info":"number node, value=1124","layer":2},{"info":"compute binary expreesion, left_input=1042, right_input=1124, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1124","layer":1},{"info":"compute unary expreesion, input=1124, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":12,"result_base":12,"text":"↯⪼(⫖↰⪸72A↺⫖↰⪸798)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=↯⪼(⫖↰⪸72A↺⫖↰⪸798)","cot":[{"info":"⫖↰⪸72A↺⫖↰⪸798=⫖↰⪸798","layer":1},{"info":"↯⪼⫖↰⪸798=⫖↰⪸-19","layer":0}]}
+{"id":459,"expression_no_base_symbol":"↥$4765$⨽$1505$","expression":"↥⫖↰⪸2911⨽⫖↰⪸A55","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":1340438,"operation_count":2,"complexity_ratio":670219.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4765,"base":12},"right_expr":{"type":"numeric_atoms","value":1505,"base":12}}},"used_operators":["A8NUZmVepG","8HhzD0ZcuI"],"dependent_operators":["k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫖↰⪸33","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4765","layer":2},{"info":"number node, value=1505","layer":2},{"info":"compute binary expreesion, left_input=4765, right_input=1505, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-68118876","layer":1},{"info":"compute unary expreesion, input=-68118876, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=39","layer":0}],"base":12,"result_base":12,"text":"↥⫖↰⪸2911⨽⫖↰⪸A55=⫖↰⪸33","reverse_text":"⫖↰⪸33=↥⫖↰⪸2911⨽⫖↰⪸A55","cot":[{"info":"⫖↰⪸2911⨽⫖↰⪸A55=⫖↰⪸-1A990790","layer":1},{"info":"↥⫖↰⪸-1A990790=⫖↰⪸33","layer":0}]}
+{"id":460,"expression_no_base_symbol":"(≤/$2756$)⨸⪁(≦∁$2972$)","expression":"(≤/⫖↰⪸1718)⨸⪁(≦∁⫖↰⪸1878)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2756,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2972,"base":12}}},"used_operators":["g55IO6H4Gj","eLAdDNolq6","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫖↰⪸988","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2756","layer":2},{"info":"compute unary expreesion, input=2756, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2272","layer":1},{"info":"number node, value=2972","layer":2},{"info":"compute unary expreesion, input=2972, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2972","layer":1},{"info":"compute binary expreesion, left_input=-2272, right_input=2972, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=1400","layer":0}],"base":12,"result_base":12,"text":"(≤/⫖↰⪸1718)⨸⪁(≦∁⫖↰⪸1878)=⫖↰⪸988","reverse_text":"⫖↰⪸988=(≤/⫖↰⪸1718)⨸⪁(≦∁⫖↰⪸1878)","cot":[{"info":"≤/⫖↰⪸1718=⫖↰⪸-1394","layer":1},{"info":"≦∁⫖↰⪸1878=⫖↰⪸1878","layer":1},{"info":"⫖↰⪸-1394⨸⪁⫖���⪸1878=⫖↰⪸988","layer":0}]}
+{"id":461,"expression_no_base_symbol":"⫛⫱⨽($7682$⊉≛↸$1365$)","expression":"⫛⫱⨽(⫖↰⪸4542⊉≛↸⫖↰⪸959)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1424,"operation_count":2,"complexity_ratio":712.0,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7682,"base":12},"right_expr":{"type":"numeric_atoms","value":1365,"base":12}}},"used_operators":["DlLNRPXxWL","DZ8iAZOCBD"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7682","layer":2},{"info":"number node, value=1365","layer":2},{"info":"compute binary expreesion, left_input=7682, right_input=1365, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=15364","layer":1},{"info":"compute unary expreesion, input=15364, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫛⫱⨽(⫖↰⪸4542⊉≛↸⫖↰⪸959)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫛⫱⨽(⫖↰⪸4542⊉≛↸⫖↰⪸959)","cot":[{"info":"⫖↰⪸4542⊉≛↸⫖↰⪸959=⫖↰⪸8A84","layer":1},{"info":"⫛⫱⨽⫖↰⪸8A84=⫖↰⪸0","layer":0}]}
+{"id":462,"expression_no_base_symbol":"($1782$⪨≂$4975$)⩚⊴⇥(≦∁$1114$)","expression":"(⫖↰⪸1046⪨≂⫖↰⪸2A67)⩚⊴⇥(≦∁⫖↰⪸78A)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1782,"base":12},"right_expr":{"type":"numeric_atoms","value":4975,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1114,"base":12}}},"used_operators":["NTOWxs364D","sdazOOVcIp","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫖↰⪸2B09","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1782","layer":2},{"info":"number node, value=4975","layer":2},{"info":"compute binary expreesion, left_input=1782, right_input=4975, 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=-6284","layer":1},{"info":"number node, value=1114","layer":2},{"info":"compute unary expreesion, input=1114, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1114","layer":1},{"info":"compute binary expreesion, left_input=-6284, right_input=1114, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=5049","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1046⪨≂⫖↰⪸2A67)⩚⊴⇥(≦∁⫖↰⪸78A)=⫖↰⪸2B09","reverse_text":"⫖↰⪸2B09=(⫖↰⪸1046⪨≂⫖↰⪸2A67)⩚⊴⇥(≦∁⫖↰⪸78A)","cot":[{"info":"⫖↰⪸1046⪨≂⫖↰⪸2A67=⫖↰⪸-3778","layer":1},{"info":"≦∁⫖↰⪸78A=⫖↰⪸78A","layer":1},{"info":"⫖↰⪸-3778⩚⊴⇥⫖↰⪸78A=⫖↰⪸2B09","layer":0}]}
+{"id":463,"expression_no_base_symbol":"$2409$⋓$1340$⨎$6663$+⇶⊼$3032$","expression":"⫖↰⪸1489⋓⫖↰⪸938⨎⫖↰⪸3A33+⇶⊼⫖↰⪸1908","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2409,"base":12},"right_expr":{"type":"numeric_atoms","value":1340,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6663,"base":12},"right_expr":{"type":"numeric_atoms","value":3032,"base":12}}},"used_operators":["rJVOvQCfKK","T2fj7uvVaJ","TpPTUOHfaN"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2409","layer":2},{"info":"number node, value=1340","layer":2},{"info":"compute binary expreesion, left_input=2409, 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":1},{"info":"number node, value=6663","layer":2},{"info":"number node, value=3032","layer":2},{"info":"compute binary expreesion, left_input=6663, right_input=3032, 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=0, 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":12,"result_base":12,"text":"⫖↰⪸1489⋓⫖↰⪸938⨎⫖↰⪸3A33+⇶⊼⫖↰⪸1908=NaN","reverse_text":"NaN=⫖↰⪸1489⋓⫖↰⪸938⨎⫖↰⪸3A33+⇶⊼⫖↰⪸1908","cot":[{"info":"⫖↰⪸1489⋓⫖↰⪸938=⫖↰⪸0","layer":1},{"info":"⫖↰⪸3A33+⇶⊼⫖↰⪸1908=NaN","layer":1},{"info":"⫖↰⪸0⨎NaN=NaN","layer":0}]}
+{"id":464,"expression_no_base_symbol":"($3238$⇼⇔∾$1147$)⫸⊐($8665$⊪)","expression":"(⫖↰⪸1A5A⇼⇔∾⫖↰⪸7B7)⫸⊐(⫖↰⪸5021⊪)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39,"operation_count":3,"complexity_ratio":13.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3238,"base":12},"right_expr":{"type":"numeric_atoms","value":1147,"base":12}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":8665,"base":12}}},"used_operators":["mqXw5SEYmG","tifHPKVTfV","zVYPLywUTj"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⫖↰⪸688","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3238","layer":2},{"info":"number node, value=1147","layer":2},{"info":"compute binary expreesion, left_input=3238, right_input=1147, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2091","layer":1},{"info":"number node, value=8665","layer":2},{"info":"compute unary expreesion, input=8665, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-2091, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1A5A⇼⇔∾⫖↰⪸7B7)⫸⊐(⫖↰⪸5021⊪)=⫖↰⪸688","reverse_text":"⫖↰⪸688=(⫖↰⪸1A5A⇼⇔∾⫖↰⪸7B7)⫸⊐(⫖↰⪸5021⊪)","cot":[{"info":"⫖↰⪸1A5A⇼⇔∾⫖↰⪸7B7=⫖↰⪸-1263","layer":1},{"info":"⫖↰⪸5021⊪=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-1263⫸⊐⫖↰⪸0=⫖↰⪸688","layer":0}]}
+{"id":465,"expression_no_base_symbol":"(⩦⩻⨪$1352$)⨳⩥⨓($2697$⨸⪁$7110$)","expression":"(⩦⩻⨪⫖↰⪸948)⨳⩥⨓(⫖↰⪸1689⨸⪁⫖↰⪸4146)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1352,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2697,"base":12},"right_expr":{"type":"numeric_atoms","value":7110,"base":12}}},"used_operators":["nCS4ZIUYfx","2td37pGCOC","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫖↰⪸A69A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1352","layer":2},{"info":"compute unary expreesion, input=1352, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1352","layer":1},{"info":"number node, value=2697","layer":2},{"info":"number node, value=7110","layer":2},{"info":"compute binary expreesion, left_input=2697, right_input=7110, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19614","layer":1},{"info":"compute binary expreesion, left_input=1352, right_input=19614, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=18262","layer":0}],"base":12,"result_base":12,"text":"(⩦⩻⨪⫖↰⪸948)⨳⩥⨓(⫖↰⪸1689⨸⪁⫖↰⪸4146)=⫖↰⪸A69A","reverse_text":"⫖↰⪸A69A=(⩦⩻⨪⫖↰⪸948)⨳⩥⨓(⫖↰⪸1689⨸⪁⫖↰⪸4146)","cot":[{"info":"⩦⩻⨪⫖↰⪸948=⫖↰⪸948","layer":1},{"info":"⫖↰⪸1689⨸⪁⫖↰⪸4146=⫖↰⪸B426","layer":1},{"info":"⫖↰⪸948⨳⩥⨓⫖↰⪸B426=⫖↰⪸A69A","layer":0}]}
+{"id":466,"expression_no_base_symbol":"(⨰⫟⨤$1250$)⨰(⇁⨣⪵$1532$)","expression":"(⨰⫟⨤⫖↰⪸882)⨰(⇁⨣⪵⫖↰⪸A78)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4167,"operation_count":3,"complexity_ratio":1389.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1250,"base":12}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1532,"base":12}}},"used_operators":["eewbuw0ToL","Tw270M8GLb","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1250","layer":2},{"info":"compute unary expreesion, input=1250, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1532","layer":2},{"info":"compute unary expreesion, input=1532, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨰⫟⨤⫖↰⪸882)⨰(⇁⨣⪵⫖↰⪸A78)=NaN","reverse_text":"NaN=(⨰⫟⨤⫖↰⪸882)⨰(⇁⨣⪵⫖↰⪸A78)","cot":[{"info":"⨰⫟⨤⫖↰⪸882=NaN","layer":1},{"info":"⇁⨣⪵⫖↰⪸A78=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
+{"id":467,"expression_no_base_symbol":"($1835$⫡⨏$3143$)↺$3610$∀⇚≩$5360$","expression":"(⫖↰⪸108B⫡⨏⫖↰⪸199B)↺⫖↰⪸210A∀⇚≩⫖↰⪸3128","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25279,"operation_count":3,"complexity_ratio":8426.333333333334,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1835,"base":12},"right_expr":{"type":"numeric_atoms","value":3143,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3610,"base":12},"right_expr":{"type":"numeric_atoms","value":5360,"base":12}}},"used_operators":["7j4O788W3g","QMFrweE19q","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1835","layer":2},{"info":"number node, value=3143","layer":2},{"info":"compute binary expreesion, left_input=1835, right_input=3143, 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=16244","layer":1},{"info":"number node, value=3610","layer":2},{"info":"number node, value=5360","layer":2},{"info":"compute binary expreesion, left_input=3610, right_input=5360, 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=16244, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸108B⫡⨏⫖↰⪸199B)↺⫖↰⪸210A∀⇚≩⫖↰⪸3128=NaN","reverse_text":"NaN=(⫖↰⪸108B⫡⨏⫖↰⪸199B)↺⫖↰⪸210A∀⇚≩⫖↰⪸3128","cot":[{"info":"⫖↰⪸108B⫡⨏⫖↰⪸199B=⫖↰⪸9498","layer":1},{"info":"⫖↰⪸210A∀⇚≩⫖↰⪸3128=NaN","layer":1},{"info":"⫖↰⪸9498↺NaN=NaN","layer":0}]}
+{"id":468,"expression_no_base_symbol":"$5632$⨪↰⇹$1038$⪄$1583$∑⇟⊟$4701$","expression":"⫖↰⪸3314⨪↰⇹⫖↰⪸726⪄⫖↰⪸ABB∑⇟⊟⫖↰⪸2879","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5727,"operation_count":3,"complexity_ratio":1909.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5632,"base":12},"right_expr":{"type":"numeric_atoms","value":1038,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1583,"base":12},"right_expr":{"type":"numeric_atoms","value":4701,"base":12}}},"used_operators":["SUmda5xLS4","tmPS8pqC7x","U7g4x0WXJJ"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rJVOvQCfKK","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5632","layer":2},{"info":"number node, value=1038","layer":2},{"info":"compute binary expreesion, left_input=5632, right_input=1038, 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=5632","layer":1},{"info":"number node, value=1583","layer":2},{"info":"number node, value=4701","layer":2},{"info":"compute binary expreesion, left_input=1583, right_input=4701, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5632, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3314⨪↰⇹⫖↰⪸726⪄⫖↰⪸ABB∑⇟⊟⫖↰⪸2879=NaN","reverse_text":"NaN=⫖↰⪸3314⨪↰⇹⫖↰⪸726⪄⫖↰⪸ABB∑⇟⊟⫖↰⪸2879","cot":[{"info":"⫖↰⪸3314⨪↰⇹⫖↰⪸726=⫖↰⪸3314","layer":1},{"info":"⫖↰⪸ABB∑⇟⊟⫖↰⪸2879=NaN","layer":1},{"info":"⫖↰⪸3314⪄NaN=NaN","layer":0}]}
+{"id":469,"expression_no_base_symbol":"(∥⊫$1880$)⨟⋌⩍($2297$↪⪝)","expression":"(∥⊫⫖↰⪸1108)⨟⋌⩍(⫖↰⪸13B5↪⪝)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":705,"operation_count":3,"complexity_ratio":235.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1880,"base":12}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2297,"base":12}}},"used_operators":["rGHVDoGpnC","P8v4zCKN1o","l07mrZUIn9"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1880","layer":2},{"info":"compute unary expreesion, input=1880, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2748","layer":1},{"info":"number node, value=2297","layer":2},{"info":"compute unary expreesion, input=2297, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=140535054","layer":1},{"info":"compute binary expreesion, left_input=2748, right_input=140535054, 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":12,"result_base":12,"text":"(∥⊫⫖↰⪸1108)⨟⋌⩍(⫖↰⪸13B5↪⪝)=NaN","reverse_text":"NaN=(∥⊫⫖↰⪸1108)⨟⋌⩍(⫖↰⪸13B5↪⪝)","cot":[{"info":"∥⊫⫖↰⪸1108=⫖↰⪸1710","layer":1},{"info":"⫖↰⪸13B5↪⪝=⫖↰⪸3B0941A6","layer":1},{"info":"⫖↰⪸1710⨟⋌⩍⫖↰⪸3B0941A6=NaN","layer":0}]}
+{"id":470,"expression_no_base_symbol":"$4630$⊴$3927$∲⫓(↯⪼$5945$)","expression":"⫖↰⪸281A⊴⫖↰⪸2333∲⫓(↯⪼⫖↰⪸3535)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4888,"operation_count":3,"complexity_ratio":1629.3333333333333,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4630,"base":12},"right_expr":{"type":"numeric_atoms","value":3927,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5945,"base":12}}},"used_operators":["i8ToyICDmI","Nsiff2A1zJ","8jW3W4yZS5"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4630","layer":2},{"info":"number node, value=3927","layer":2},{"info":"compute binary expreesion, left_input=4630, right_input=3927, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=5945","layer":2},{"info":"compute unary expreesion, input=5945, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸281A⊴⫖↰⪸2333∲⫓(↯⪼⫖↰⪸3535)=NaN","reverse_text":"NaN=⫖↰⪸281A⊴⫖↰⪸2333∲⫓(↯⪼⫖↰⪸3535)","cot":[{"info":"⫖↰⪸281A⊴⫖↰⪸2333=NaN","layer":1},{"info":"↯⪼⫖↰⪸3535=⫖↰⪸-19","layer":1},{"info":"NaN∲⫓⫖↰⪸-19=NaN","layer":0}]}
+{"id":471,"expression_no_base_symbol":"($1815$-$1089$)⊴($1921$↺$5028$)","expression":"(⫖↰⪸1073-⫖↰⪸769)⊴(⫖↰⪸1141↺⫖↰⪸2AB0)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5037,"operation_count":3,"complexity_ratio":1679.0,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1815,"base":12},"right_expr":{"type":"numeric_atoms","value":1089,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1921,"base":12},"right_expr":{"type":"numeric_atoms","value":5028,"base":12}}},"used_operators":["Nsiff2A1zJ","rysDP5nf3Z","7j4O788W3g"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1815","layer":2},{"info":"number node, value=1089","layer":2},{"info":"compute binary expreesion, left_input=1815, right_input=1089, op_id = rysDP5nf3Z binary_op_definition= 'None', output=726","layer":1},{"info":"number node, value=1921","layer":2},{"info":"number node, value=5028","layer":2},{"info":"compute binary expreesion, left_input=1921, right_input=5028, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5028","layer":1},{"info":"compute binary expreesion, left_input=726, right_input=5028, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1073-⫖↰⪸769)⊴(⫖↰⪸1141↺⫖↰⪸2AB0)=NaN","reverse_text":"NaN=(⫖↰⪸1073-⫖↰⪸769)⊴(⫖↰⪸1141↺⫖↰⪸2AB0)","cot":[{"info":"⫖↰⪸1073-⫖↰⪸769=⫖↰⪸506","layer":1},{"info":"⫖↰⪸1141↺⫖↰⪸2AB0=⫖↰⪸2AB0","layer":1},{"info":"⫖↰⪸506⊴⫖↰⪸2AB0=NaN","layer":0}]}
+{"id":472,"expression_no_base_symbol":"($4338$⋓$1496$)∼($3127$⊠≄⫣)","expression":"(⫖↰⪸2616⋓⫖↰⪸A48)∼(⫖↰⪸1987⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38,"operation_count":3,"complexity_ratio":12.666666666666666,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4338,"base":12},"right_expr":{"type":"numeric_atoms","value":1496,"base":12}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3127,"base":12}}},"used_operators":["DyGG3AbaNP","T2fj7uvVaJ","DIvbN7qnHd"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸18","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4338","layer":2},{"info":"number node, value=1496","layer":2},{"info":"compute binary expreesion, left_input=4338, right_input=1496, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=3127","layer":2},{"info":"compute unary expreesion, input=3127, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2616⋓⫖↰⪸A48)∼(⫖↰⪸1987⊠≄⫣)=⫖↰⪸18","reverse_text":"⫖↰⪸18=(⫖↰⪸2616⋓⫖↰⪸A48)∼(⫖↰⪸1987⊠≄⫣)","cot":[{"info":"⫖↰⪸2616⋓⫖↰⪸A48=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1987⊠≄⫣=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0∼⫖↰⪸0=⫖↰⪸18","layer":0}]}
+{"id":473,"expression_no_base_symbol":"⋗⩬⋾(⫛⫱⨽$3475$)","expression":"⋗⩬⋾(⫛⫱⨽⫖↰⪸2017)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1425,"operation_count":2,"complexity_ratio":712.5,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3475,"base":12}}},"used_operators":["DpFCA1CohY","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3475","layer":2},{"info":"compute unary expreesion, input=3475, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"⋗⩬⋾(⫛⫱⨽⫖↰⪸2017)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⋗⩬⋾(⫛⫱⨽⫖↰⪸2017)","cot":[{"info":"⫛⫱⨽⫖↰⪸2017=⫖↰⪸0","layer":1},{"info":"⋗⩬⋾⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":474,"expression_no_base_symbol":"↽≂(⨑⩽⪐$7339$)","expression":"↽≂(⨑⩽⪐⫖↰⪸42B7)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":7339,"base":12}}},"used_operators":["u6S6b8DprG","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫖↰⪸8218","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7339","layer":2},{"info":"compute unary expreesion, input=7339, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7066","layer":1},{"info":"compute unary expreesion, input=-7066, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=14132","layer":0}],"base":12,"result_base":12,"text":"↽≂(⨑⩽⪐⫖↰⪸42B7)=⫖↰⪸8218","reverse_text":"⫖↰⪸8218=↽≂(⨑⩽⪐⫖↰⪸42B7)","cot":[{"info":"⨑⩽⪐⫖↰⪸42B7=⫖↰⪸-410A","layer":1},{"info":"↽≂⫖↰⪸-410A=⫖↰⪸8218","layer":0}]}
+{"id":475,"expression_no_base_symbol":"($2858$+⇶⊼$6639$)⪢(≤/$1321$)","expression":"(⫖↰⪸17A2+⇶⊼⫖↰⪸3A13)⪢(≤/⫖↰⪸921)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":839,"operation_count":3,"complexity_ratio":279.6666666666667,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2858,"base":12},"right_expr":{"type":"numeric_atoms","value":6639,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1321,"base":12}}},"used_operators":["dWAJyo7jo9","TpPTUOHfaN","eLAdDNolq6"],"dependent_operators":["k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2858","layer":2},{"info":"number node, value=6639","layer":2},{"info":"compute binary expreesion, left_input=2858, right_input=6639, 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=1321","layer":2},{"info":"compute unary expreesion, input=1321, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-837","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-837, 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":12,"result_base":12,"text":"(⫖↰⪸17A2+⇶⊼⫖↰⪸3A13)⪢(≤/⫖↰⪸921)=NaN","reverse_text":"NaN=(⫖↰⪸17A2+⇶⊼⫖↰⪸3A13)⪢(≤/⫖↰⪸921)","cot":[{"info":"⫖↰⪸17A2+⇶⊼⫖↰⪸3A13=NaN","layer":1},{"info":"≤/⫖↰⪸921=⫖↰⪸-599","layer":1},{"info":"NaN⪢⫖↰⪸-599=NaN","layer":0}]}
+{"id":476,"expression_no_base_symbol":"$3355$⪛$1841$⨎$3481$≎⊠⪸$1360$","expression":"⫖↰⪸1B37⪛⫖↰⪸1095⨎⫖↰⪸2021≎⊠⪸⫖↰⪸954","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":275,"operation_count":3,"complexity_ratio":91.66666666666667,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3355,"base":12},"right_expr":{"type":"numeric_atoms","value":1841,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3481,"base":12},"right_expr":{"type":"numeric_atoms","value":1360,"base":12}}},"used_operators":["rJVOvQCfKK","uFcxV4UQCh","bJkvcejdHO"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫖↰⪸375582","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3355","layer":2},{"info":"number node, value=1841","layer":2},{"info":"compute binary expreesion, left_input=3355, right_input=1841, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1514","layer":1},{"info":"number node, value=3481","layer":2},{"info":"number node, value=1360","layer":2},{"info":"compute binary expreesion, left_input=3481, right_input=1360, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=901106","layer":1},{"info":"compute binary expreesion, left_input=1514, right_input=901106, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=901106","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1B37⪛⫖↰⪸1095⨎⫖↰⪸2021≎⊠⪸⫖↰⪸954=⫖↰⪸375582","reverse_text":"⫖↰⪸375582=⫖↰⪸1B37⪛⫖↰⪸1095⨎⫖↰⪸2021≎⊠⪸⫖↰⪸954","cot":[{"info":"⫖↰⪸1B37⪛⫖↰⪸1095=⫖↰⪸A62","layer":1},{"info":"⫖↰⪸2021≎⊠⪸⫖↰⪸954=⫖↰⪸375582","layer":1},{"info":"⫖↰⪸A62⨎⫖↰⪸375582=⫖↰⪸375582","layer":0}]}
+{"id":477,"expression_no_base_symbol":"($2140$⫩⊇)⫡⨏(-$1460$)","expression":"(⫖↰⪸12A4⫩⊇)⫡⨏(-⫖↰⪸A18)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2140,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1460,"base":12}}},"used_operators":["QMFrweE19q","BjRHVeLaeN","t8gj7n24qd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-7383","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2140","layer":2},{"info":"compute unary expreesion, input=2140, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2098","layer":1},{"info":"number node, value=1460","layer":2},{"info":"compute unary expreesion, input=1460, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1460","layer":1},{"info":"compute binary expreesion, left_input=-2098, right_input=-1460, 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=-12627","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸12A4⫩⊇)⫡⨏(-⫖↰⪸A18)=⫖↰⪸-7383","reverse_text":"⫖↰⪸-7383=(⫖↰⪸12A4⫩⊇)⫡⨏(-⫖↰⪸A18)","cot":[{"info":"⫖↰⪸12A4⫩⊇=⫖↰⪸-126A","layer":1},{"info":"-⫖↰⪸A18=⫖↰⪸-A18","layer":1},{"info":"⫖↰⪸-126A⫡⨏⫖↰⪸-A18=⫖↰⪸-7383","layer":0}]}
+{"id":478,"expression_no_base_symbol":"($1411$⋝⋈⪟$1655$)≹⇙⪍($4157$⪄$5080$)","expression":"(⫖↰⪸997⋝⋈⪟⫖↰⪸B5B)≹⇙⪍(⫖↰⪸24A5⪄⫖↰⪸2B34)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":99,"operation_count":3,"complexity_ratio":33.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1411,"base":12},"right_expr":{"type":"numeric_atoms","value":1655,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4157,"base":12},"right_expr":{"type":"numeric_atoms","value":5080,"base":12}}},"used_operators":["AHs5Up7iyr","2DDjHMKMc0","SUmda5xLS4"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1411","layer":2},{"info":"number node, value=1655","layer":2},{"info":"compute binary expreesion, left_input=1411, right_input=1655, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1411","layer":1},{"info":"number node, value=4157","layer":2},{"info":"number node, value=5080","layer":2},{"info":"compute binary expreesion, left_input=4157, right_input=5080, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-631645","layer":1},{"info":"compute binary expreesion, left_input=1411, right_input=-631645, 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":12,"result_base":12,"text":"(⫖↰⪸997⋝⋈⪟⫖↰⪸B5B)≹⇙⪍(⫖↰⪸24A5⪄⫖↰⪸2B34)=NaN","reverse_text":"NaN=(⫖↰⪸997⋝⋈⪟⫖↰⪸B5B)≹⇙⪍(⫖↰⪸24A5⪄⫖↰⪸2B34)","cot":[{"info":"⫖↰⪸997⋝⋈⪟⫖↰⪸B5B=⫖↰⪸997","layer":1},{"info":"⫖↰⪸24A5⪄⫖↰⪸2B34=⫖↰⪸-265651","layer":1},{"info":"⫖↰⪸997≹⇙⪍⫖↰⪸-265651=NaN","layer":0}]}
+{"id":479,"expression_no_base_symbol":"($6270$∧)∲⫓$1856$⊴$1738$","expression":"(⫖↰⪸3766∧)∲⫓⫖↰⪸10A8⊴⫖↰⪸100A","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3057,"operation_count":3,"complexity_ratio":1019.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":6270,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1856,"base":12},"right_expr":{"type":"numeric_atoms","value":1738,"base":12}}},"used_operators":["i8ToyICDmI","z63VuFQld9","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6270","layer":2},{"info":"compute unary expreesion, input=6270, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"number node, value=1856","layer":2},{"info":"number node, value=1738","layer":2},{"info":"compute binary expreesion, left_input=1856, right_input=1738, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3766∧)∲⫓⫖↰⪸10A8⊴⫖↰⪸100A=NaN","reverse_text":"NaN=(⫖↰⪸3766∧)∲⫓⫖↰⪸10A8⊴⫖↰⪸100A","cot":[{"info":"⫖↰⪸3766∧=NaN","layer":1},{"info":"⫖↰⪸10A8⊴⫖↰⪸100A=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
+{"id":480,"expression_no_base_symbol":"(-$2232$)⪘⫢$1514$⪛$3578$","expression":"(-⫖↰⪸1360)⪘⫢⫖↰⪸A62⪛⫖↰⪸20A2","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2232,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1514,"base":12},"right_expr":{"type":"numeric_atoms","value":3578,"base":12}}},"used_operators":["oacrs7FA3X","t8gj7n24qd","uFcxV4UQCh"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫖↰⪸-1","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2232","layer":2},{"info":"compute unary expreesion, input=2232, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2232","layer":1},{"info":"number node, value=1514","layer":2},{"info":"number node, value=3578","layer":2},{"info":"compute binary expreesion, left_input=1514, right_input=3578, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1514","layer":1},{"info":"compute binary expreesion, left_input=-2232, right_input=1514, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":0}],"base":12,"result_base":12,"text":"(-⫖↰⪸1360)⪘⫢⫖↰⪸A62⪛⫖↰⪸20A2=⫖↰⪸-1","reverse_text":"⫖↰⪸-1=(-⫖↰⪸1360)⪘⫢⫖↰⪸A62⪛⫖↰⪸20A2","cot":[{"info":"-⫖↰⪸1360=⫖↰⪸-1360","layer":1},{"info":"⫖↰⪸A62⪛⫖↰⪸20A2=⫖↰⪸A62","layer":1},{"info":"⫖↰⪸-1360⪘⫢⫖↰⪸A62=⫖↰⪸-1","layer":0}]}
+{"id":481,"expression_no_base_symbol":"$1992$⊴$7917$⇼⇔∾($4498$⊭↱$1074$)","expression":"⫖↰⪸11A0⊴⫖↰⪸46B9⇼⇔∾(⫖↰⪸272A⊭↱⫖↰⪸756)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7931,"operation_count":3,"complexity_ratio":2643.6666666666665,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1992,"base":12},"right_expr":{"type":"numeric_atoms","value":7917,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4498,"base":12},"right_expr":{"type":"numeric_atoms","value":1074,"base":12}}},"used_operators":["tifHPKVTfV","Nsiff2A1zJ","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1992","layer":2},{"info":"number node, value=7917","layer":2},{"info":"compute binary expreesion, left_input=1992, right_input=7917, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=4498","layer":2},{"info":"number node, value=1074","layer":2},{"info":"compute binary expreesion, left_input=4498, right_input=1074, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6843","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6843, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸11A0⊴⫖↰⪸46B9⇼⇔∾(⫖↰⪸272A⊭↱⫖↰⪸756)=NaN","reverse_text":"NaN=⫖↰⪸11A0⊴⫖↰⪸46B9⇼⇔∾(⫖↰⪸272A⊭↱⫖↰⪸756)","cot":[{"info":"⫖↰⪸11A0⊴⫖↰⪸46B9=NaN","layer":1},{"info":"⫖↰⪸272A⊭↱⫖↰⪸756=⫖↰⪸-3B63","layer":1},{"info":"NaN⇼⇔∾⫖↰⪸-3B63=NaN","layer":0}]}
+{"id":482,"expression_no_base_symbol":"-$1138$⫸⊐$1940$","expression":"-⫖↰⪸7AA⫸⊐⫖↰⪸1158","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1138,"base":12},"right_expr":{"type":"numeric_atoms","value":1940,"base":12}}},"used_operators":["t8gj7n24qd","mqXw5SEYmG"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸-4503","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1138","layer":2},{"info":"number node, value=1940","layer":2},{"info":"compute binary expreesion, left_input=1138, right_input=1940, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7635","layer":1},{"info":"compute unary expreesion, input=7635, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-7635","layer":0}],"base":12,"result_base":12,"text":"-⫖↰⪸7AA⫸⊐⫖↰⪸1158=⫖↰⪸-4503","reverse_text":"⫖↰⪸-4503=-⫖↰⪸7AA⫸⊐⫖↰⪸1158","cot":[{"info":"⫖↰⪸7AA⫸⊐⫖↰⪸1158=⫖↰⪸4503","layer":1},{"info":"-⫖↰⪸4503=⫖↰⪸-4503","layer":0}]}
+{"id":483,"expression_no_base_symbol":"(+⊝⨔$3369$)⨵⪆$2751$↙$2232$","expression":"(+⊝⨔⫖↰⪸1B49)⨵⪆⫖↰⪸1713↙⫖↰⪸1360","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2276,"operation_count":3,"complexity_ratio":758.6666666666666,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3369,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2751,"base":12},"right_expr":{"type":"numeric_atoms","value":2232,"base":12}}},"used_operators":["2DQ55sFlQl","DhbWaqg5eL","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3369","layer":2},{"info":"compute unary expreesion, input=3369, 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=2751","layer":2},{"info":"number node, value=2232","layer":2},{"info":"compute binary expreesion, left_input=2751, right_input=2232, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6696","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=-6696, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(+⊝⨔⫖↰⪸1B49)⨵⪆⫖↰⪸1713↙⫖↰⪸1360=⫖↰⪸114","reverse_text":"⫖↰⪸114=(+⊝⨔⫖↰⪸1B49)⨵⪆⫖↰⪸1713↙⫖↰⪸1360","cot":[{"info":"+⊝⨔⫖↰⪸1B49=⫖↰⪸A6A","layer":1},{"info":"⫖↰⪸1713↙⫖↰⪸1360=⫖↰⪸-3A60","layer":1},{"info":"⫖↰⪸A6A⨵⪆⫖↰⪸-3A60=⫖↰⪸114","layer":0}]}
+{"id":484,"expression_no_base_symbol":"($3605$⨰$7949$)⇷($3294$⊭↱$1035$)","expression":"(⫖↰⪸2105⨰⫖↰⪸4725)⇷(⫖↰⪸1AA6⊭↱⫖↰⪸723)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":60696,"operation_count":3,"complexity_ratio":20232.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3605,"base":12},"right_expr":{"type":"numeric_atoms","value":7949,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3294,"base":12},"right_expr":{"type":"numeric_atoms","value":1035,"base":12}}},"used_operators":["mp7IySMOzn","eewbuw0ToL","COABgblf1C"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3605","layer":2},{"info":"number node, value=7949","layer":2},{"info":"compute binary expreesion, left_input=3605, right_input=7949, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4334","layer":1},{"info":"number node, value=3294","layer":2},{"info":"number node, value=1035","layer":2},{"info":"compute binary expreesion, left_input=3294, right_input=1035, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4513","layer":1},{"info":"compute binary expreesion, left_input=-4334, right_input=-4513, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2105⨰⫖↰⪸4725)⇷(⫖↰⪸1AA6⊭↱⫖↰⪸723)=NaN","reverse_text":"NaN=(⫖↰⪸2105⨰⫖↰⪸4725)⇷(⫖↰⪸1AA6⊭↱⫖↰⪸723)","cot":[{"info":"⫖↰⪸2105⨰⫖↰⪸4725=⫖↰⪸-2612","layer":1},{"info":"⫖↰⪸1AA6⊭↱⫖↰⪸723=⫖↰⪸-2741","layer":1},{"info":"⫖↰⪸-2612⇷⫖↰⪸-2741=NaN","layer":0}]}
+{"id":485,"expression_no_base_symbol":"≤/$9125$↙$1219$","expression":"≤/⫖↰⪸5345↙⫖↰⪸857","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1223,"operation_count":2,"complexity_ratio":611.5,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":9125,"base":12},"right_expr":{"type":"numeric_atoms","value":1219,"base":12}}},"used_operators":["eLAdDNolq6","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY"],"result":"⫖↰⪸2491","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=9125","layer":2},{"info":"number node, value=1219","layer":2},{"info":"compute binary expreesion, left_input=9125, right_input=1219, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3657","layer":1},{"info":"compute unary expreesion, input=-3657, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=4141","layer":0}],"base":12,"result_base":12,"text":"≤/⫖↰⪸5345↙⫖↰⪸857=⫖↰⪸2491","reverse_text":"⫖↰⪸2491=≤/⫖↰⪸5345↙⫖↰⪸857","cot":[{"info":"⫖↰⪸5345↙⫖↰⪸857=⫖↰⪸-2149","layer":1},{"info":"≤/⫖↰⪸-2149=⫖↰⪸2491","layer":0}]}
+{"id":486,"expression_no_base_symbol":"+⊝⨔($7659$⨟⋌⩍$1068$)","expression":"+⊝⨔(⫖↰⪸4523⨟⋌⩍⫖↰⪸750)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7659,"base":12},"right_expr":{"type":"numeric_atoms","value":1068,"base":12}}},"used_operators":["DhbWaqg5eL","rGHVDoGpnC"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","Tcnh7f0tEr"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7659","layer":2},{"info":"number node, value=1068","layer":2},{"info":"compute binary expreesion, left_input=7659, right_input=1068, 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 = 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":12,"result_base":12,"text":"+⊝⨔(⫖↰⪸4523⨟⋌⩍⫖↰⪸750)=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔(⫖↰⪸4523⨟⋌⩍⫖↰⪸750)","cot":[{"info":"⫖↰⪸4523⨟⋌⩍⫖↰⪸750=NaN","layer":1},{"info":"+⊝⨔NaN=⫖↰⪸A6A","layer":0}]}
+{"id":487,"expression_no_base_symbol":"$2110$*$4535$%$2514$⩚⊴⇥$1326$","expression":"⫖↰⪸127A*⫖↰⪸275B%⫖↰⪸1556⩚⊴⇥⫖↰⪸926","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4528,"operation_count":3,"complexity_ratio":1509.3333333333333,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2110,"base":12},"right_expr":{"type":"numeric_atoms","value":4535,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2514,"base":12},"right_expr":{"type":"numeric_atoms","value":1326,"base":12}}},"used_operators":["k8jYdgA6NY","9HNa5Wba9A","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-652","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2110","layer":2},{"info":"number node, value=4535","layer":2},{"info":"compute binary expreesion, left_input=2110, right_input=4535, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9568850","layer":1},{"info":"number node, value=2514","layer":2},{"info":"number node, value=1326","layer":2},{"info":"compute binary expreesion, left_input=2514, right_input=1326, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3961","layer":1},{"info":"compute binary expreesion, left_input=9568850, right_input=-3961, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-926","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸127A*⫖↰⪸275B%⫖↰⪸1556⩚⊴⇥⫖↰⪸926=⫖↰⪸-652","reverse_text":"⫖↰⪸-652=⫖↰⪸127A*⫖↰⪸275B%⫖↰⪸1556⩚⊴⇥⫖↰⪸926","cot":[{"info":"⫖↰⪸127A*⫖↰⪸275B=⫖↰⪸3255642","layer":1},{"info":"⫖↰⪸1556⩚⊴⇥⫖↰⪸926=⫖↰⪸-2361","layer":1},{"info":"⫖↰⪸3255642%⫖↰⪸-2361=⫖↰⪸-652","layer":0}]}
+{"id":488,"expression_no_base_symbol":"$1162$≧⫂∧$1048$⨳⩥⨓($1411$⊭↱$6382$)","expression":"⫖↰⪸80A≧⫂∧⫖↰⪸734⨳⩥⨓(⫖↰⪸997⊭↱⫖↰⪸383A)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1162,"base":12},"right_expr":{"type":"numeric_atoms","value":1048,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1411,"base":12},"right_expr":{"type":"numeric_atoms","value":6382,"base":12}}},"used_operators":["nCS4ZIUYfx","Ph9nP6C5qx","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸5510","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1162","layer":2},{"info":"number node, value=1048","layer":2},{"info":"compute binary expreesion, left_input=1162, right_input=1048, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=575","layer":1},{"info":"number node, value=1411","layer":2},{"info":"number node, value=6382","layer":2},{"info":"compute binary expreesion, left_input=1411, right_input=6382, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9947","layer":1},{"info":"compute binary expreesion, left_input=575, right_input=9947, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=9372","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸80A≧⫂∧⫖↰⪸734⨳⩥⨓(⫖↰⪸997⊭↱⫖↰⪸383A)=⫖↰⪸5510","reverse_text":"⫖↰⪸5510=⫖↰⪸80A≧⫂∧⫖↰⪸734⨳⩥⨓(⫖↰⪸997⊭↱⫖↰⪸383A)","cot":[{"info":"⫖↰⪸80A≧⫂∧⫖↰⪸734=⫖↰⪸3BB","layer":1},{"info":"⫖↰⪸997⊭↱⫖↰⪸383A=⫖↰⪸590B","layer":1},{"info":"⫖↰⪸3BB⨳⩥⨓⫖↰⪸590B=⫖↰⪸5510","layer":0}]}
+{"id":489,"expression_no_base_symbol":"∂(⪝⪂⫅$1091$)","expression":"∂(⪝⪂⫅⫖↰⪸76B)","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":567,"operation_count":2,"complexity_ratio":283.5,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1091,"base":12}}},"used_operators":["Uaa54Peajs","XTarYq4gQB"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫖↰⪸787A9","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1091","layer":2},{"info":"compute unary expreesion, input=1091, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-160377","layer":1},{"info":"compute unary expreesion, input=-160377, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=160113","layer":0}],"base":12,"result_base":12,"text":"∂(⪝⪂⫅⫖↰⪸76B)=⫖↰⪸787A9","reverse_text":"⫖↰⪸787A9=∂(⪝⪂⫅⫖↰⪸76B)","cot":[{"info":"⪝⪂⫅⫖↰⪸76B=⫖↰⪸-78989","layer":1},{"info":"∂⫖↰⪸-78989=⫖↰⪸787A9","layer":0}]}
+{"id":490,"expression_no_base_symbol":"(⊄⩳↩$5213$)≭($4926$⫸⊐$1513$)","expression":"(⊄⩳↩⫖↰⪸3025)≭(⫖↰⪸2A26⫸⊐⫖↰⪸A61)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5213,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4926,"base":12},"right_expr":{"type":"numeric_atoms","value":1513,"base":12}}},"used_operators":["rxpJgHHUmx","8w2t5hMYqp","mqXw5SEYmG"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5213","layer":2},{"info":"compute unary expreesion, input=5213, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-15639","layer":1},{"info":"number node, value=4926","layer":2},{"info":"number node, value=1513","layer":2},{"info":"compute binary expreesion, left_input=4926, right_input=1513, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5927","layer":1},{"info":"compute binary expreesion, left_input=-15639, right_input=5927, 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":12,"result_base":12,"text":"(⊄⩳↩⫖↰⪸3025)≭(⫖↰⪸2A26⫸⊐⫖↰⪸A61)=NaN","reverse_text":"NaN=(⊄⩳↩⫖↰⪸3025)≭(⫖↰⪸2A26⫸⊐⫖↰⪸A61)","cot":[{"info":"⊄⩳↩⫖↰⪸3025=⫖↰⪸-9073","layer":1},{"info":"⫖↰⪸2A26⫸⊐⫖↰⪸A61=⫖↰⪸351B","layer":1},{"info":"⫖↰⪸-9073≭⫖↰⪸351B=NaN","layer":0}]}
+{"id":491,"expression_no_base_symbol":"($1142$⊉≛↸$1685$)⋓($2350$⫡⨏$3963$)","expression":"(⫖↰⪸7B2⊉≛↸⫖↰⪸B85)⋓(⫖↰⪸143A⫡⨏⫖↰⪸2363)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22,"operation_count":3,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1142,"base":12},"right_expr":{"type":"numeric_atoms","value":1685,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2350,"base":12},"right_expr":{"type":"numeric_atoms","value":3963,"base":12}}},"used_operators":["T2fj7uvVaJ","DZ8iAZOCBD","QMFrweE19q"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1142","layer":2},{"info":"number node, value=1685","layer":2},{"info":"compute binary expreesion, left_input=1142, right_input=1685, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2284","layer":1},{"info":"number node, value=2350","layer":2},{"info":"number node, value=3963","layer":2},{"info":"compute binary expreesion, left_input=2350, right_input=3963, 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=20459","layer":1},{"info":"compute binary expreesion, left_input=2284, right_input=20459, 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":12,"result_base":12,"text":"(⫖↰⪸7B2⊉≛↸⫖↰⪸B85)⋓(⫖↰⪸143A⫡⨏⫖↰⪸2363)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸7B2⊉≛↸⫖↰⪸B85)⋓(⫖↰⪸143A⫡⨏⫖↰⪸2363)","cot":[{"info":"⫖↰⪸7B2⊉≛↸⫖↰⪸B85=⫖↰⪸13A4","layer":1},{"info":"⫖↰⪸143A⫡⨏⫖↰⪸2363=⫖↰⪸BA0B","layer":1},{"info":"⫖↰⪸13A4⋓⫖↰⪸BA0B=⫖↰⪸0","layer":0}]}
+{"id":492,"expression_no_base_symbol":"($2010$⪨≂$1933$)⨪↰⇹($8108$⩚⊴⇥$3060$)","expression":"(⫖↰⪸11B6⪨≂⫖↰⪸1151)⨪↰⇹(⫖↰⪸4838⩚⊴⇥⫖↰⪸1930)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":264,"operation_count":3,"complexity_ratio":88.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2010,"base":12},"right_expr":{"type":"numeric_atoms","value":1933,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8108,"base":12},"right_expr":{"type":"numeric_atoms","value":3060,"base":12}}},"used_operators":["tmPS8pqC7x","sdazOOVcIp","NTOWxs364D"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸194","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2010","layer":2},{"info":"number node, value=1933","layer":2},{"info":"compute binary expreesion, left_input=2010, right_input=1933, 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=256","layer":1},{"info":"number node, value=8108","layer":2},{"info":"number node, value=3060","layer":2},{"info":"compute binary expreesion, left_input=8108, right_input=3060, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11289","layer":1},{"info":"compute binary expreesion, left_input=256, right_input=-11289, 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=256","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸11B6⪨≂⫖↰⪸1151)⨪↰⇹(⫖↰⪸4838⩚⊴⇥⫖↰⪸1930)=⫖↰⪸194","reverse_text":"⫖↰⪸194=(⫖↰⪸11B6⪨≂⫖↰⪸1151)⨪↰⇹(⫖↰⪸4838⩚⊴⇥⫖↰⪸1930)","cot":[{"info":"⫖↰⪸11B6⪨≂⫖↰⪸1151=⫖↰⪸194","layer":1},{"info":"⫖↰⪸4838⩚⊴⇥⫖↰⪸1930=⫖↰⪸-6649","layer":1},{"info":"⫖↰⪸194⨪↰⇹⫖↰⪸-6649=⫖↰⪸194","layer":0}]}
+{"id":493,"expression_no_base_symbol":"($2456$≦≮≮)⪄(≉$8516$)","expression":"(⫖↰⪸1508≦≮≮)⪄(≉⫖↰⪸4B18)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":98,"operation_count":3,"complexity_ratio":32.666666666666664,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2456,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":8516,"base":12}}},"used_operators":["SUmda5xLS4","D4vGDi5EA2","e1ybzncUwg"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2456","layer":2},{"info":"compute unary expreesion, input=2456, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7368","layer":1},{"info":"number node, value=8516","layer":2},{"info":"compute unary expreesion, input=8516, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=9047","layer":1},{"info":"compute binary expreesion, left_input=-7368, right_input=9047, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1508≦≮≮)⪄(≉⫖↰⪸4B18)=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=(⫖↰⪸1508≦≮≮)⪄(≉⫖↰⪸4B18)","cot":[{"info":"⫖↰⪸1508≦≮≮=⫖↰⪸-4320","layer":1},{"info":"≉⫖↰⪸4B18=⫖↰⪸529B","layer":1},{"info":"⫖↰⪸-4320⪄⫖↰⪸529B=⫖↰⪸2377","layer":0}]}
+{"id":494,"expression_no_base_symbol":"(↣≠⋷$1170$)⊪","expression":"(↣≠⋷⫖↰⪸816)⊪","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1170,"base":12}}},"used_operators":["zVYPLywUTj","Asc51vEJeQ"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1170","layer":2},{"info":"compute unary expreesion, input=1170, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', 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":12,"result_base":12,"text":"(↣≠⋷⫖↰⪸816)⊪=NaN","reverse_text":"NaN=(↣≠⋷⫖↰⪸816)⊪","cot":[{"info":"↣≠⋷⫖↰⪸816=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
+{"id":495,"expression_no_base_symbol":"($6014$≫≃)⨐⩸⫘($5394$↺$7734$)","expression":"(⫖↰⪸3592≫≃)⨐⩸⫘(⫖↰⪸3156↺⫖↰⪸4586)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":6014,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5394,"base":12},"right_expr":{"type":"numeric_atoms","value":7734,"base":12}}},"used_operators":["fu6greOZ01","X99M06cbEe","7j4O788W3g"],"dependent_operators":["3ViojmjbAp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6014","layer":2},{"info":"compute unary expreesion, input=6014, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13429","layer":1},{"info":"number node, value=5394","layer":2},{"info":"number node, value=7734","layer":2},{"info":"compute binary expreesion, left_input=5394, right_input=7734, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7734","layer":1},{"info":"compute binary expreesion, left_input=13429, right_input=7734, 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":12,"result_base":12,"text":"(⫖↰⪸3592≫≃)⨐⩸⫘(⫖↰⪸3156↺⫖↰⪸4586)=NaN","reverse_text":"NaN=(⫖↰⪸3592≫≃)⨐⩸⫘(⫖↰⪸3156↺⫖↰⪸4586)","cot":[{"info":"⫖↰⪸3592≫≃=⫖↰⪸7931","layer":1},{"info":"⫖↰⪸3156↺⫖↰⪸4586=⫖↰⪸4586","layer":1},{"info":"⫖↰⪸7931⨐⩸⫘⫖↰⪸4586=NaN","layer":0}]}
+{"id":496,"expression_no_base_symbol":"∂$3585$∀⇚≩$1173$","expression":"∂⫖↰⪸20A9∀⇚≩⫖↰⪸819","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":25096,"operation_count":2,"complexity_ratio":12548.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3585,"base":12},"right_expr":{"type":"numeric_atoms","value":1173,"base":12}}},"used_operators":["Uaa54Peajs","LRNGc0VcxI"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3585","layer":2},{"info":"number node, value=1173","layer":2},{"info":"compute binary expreesion, left_input=3585, right_input=1173, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∂⫖↰⪸20A9∀⇚≩⫖↰⪸819=NaN","reverse_text":"NaN=∂⫖↰⪸20A9∀⇚≩⫖↰⪸819","cot":[{"info":"⫖↰⪸20A9∀⇚≩⫖↰⪸819=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
+{"id":497,"expression_no_base_symbol":"($4068$⫌⩹⨱)∲⫓($2185$≦≮≮)","expression":"(⫖↰⪸2430⫌⩹⨱)∲⫓(⫖↰⪸1321≦≮≮)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4068,"base":12}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2185,"base":12}}},"used_operators":["i8ToyICDmI","EBcxylXtPf","D4vGDi5EA2"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸5629","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4068","layer":2},{"info":"compute unary expreesion, input=4068, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9537","layer":1},{"info":"number node, value=2185","layer":2},{"info":"compute unary expreesion, input=2185, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6555","layer":1},{"info":"compute binary expreesion, left_input=9537, right_input=-6555, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=9537","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2430⫌⩹⨱)∲⫓(⫖↰⪸1321≦≮≮)=⫖↰⪸5629","reverse_text":"⫖↰⪸5629=(⫖↰⪸2430⫌⩹⨱)∲⫓(⫖↰⪸1321≦≮≮)","cot":[{"info":"⫖↰⪸2430⫌⩹⨱=⫖↰⪸5629","layer":1},{"info":"⫖↰⪸1321≦≮≮=⫖↰⪸-3963","layer":1},{"info":"⫖↰⪸5629∲⫓⫖↰⪸-3963=⫖↰⪸5629","layer":0}]}
+{"id":498,"expression_no_base_symbol":"$1455$⪮%⊝$3887$↺($2252$%$1116$)","expression":"⫖↰⪸A13⪮%⊝⫖↰⪸22BB↺(⫖↰⪸1378%⫖↰⪸790)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1455,"base":12},"right_expr":{"type":"numeric_atoms","value":3887,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2252,"base":12},"right_expr":{"type":"numeric_atoms","value":1116,"base":12}}},"used_operators":["7j4O788W3g","IWmyXbctLI","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z"],"result":"⫖↰⪸18","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1455","layer":2},{"info":"number node, value=3887","layer":2},{"info":"compute binary expreesion, left_input=1455, right_input=3887, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3226","layer":1},{"info":"number node, value=2252","layer":2},{"info":"number node, value=1116","layer":2},{"info":"compute binary expreesion, left_input=2252, right_input=1116, op_id = k8jYdgA6NY binary_op_definition= 'None', output=20","layer":1},{"info":"compute binary expreesion, left_input=3226, right_input=20, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=20","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸A13⪮%⊝⫖↰⪸22BB↺(⫖↰⪸1378%⫖↰⪸790)=⫖↰⪸18","reverse_text":"⫖↰⪸18=⫖↰⪸A13⪮%⊝⫖↰⪸22BB↺(⫖↰⪸1378%⫖↰⪸790)","cot":[{"info":"⫖↰⪸A13⪮%⊝⫖↰⪸22BB=⫖↰⪸1A4A","layer":1},{"info":"⫖↰⪸1378%⫖↰⪸790=⫖↰⪸18","layer":1},{"info":"⫖↰⪸1A4A↺⫖↰⪸18=⫖↰⪸18","layer":0}]}
+{"id":499,"expression_no_base_symbol":"($5941$∸)⊴($2171$≋⫹)","expression":"(⫖↰⪸3531∸)⊴(⫖↰⪸130B≋⫹)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4528,"operation_count":3,"complexity_ratio":1509.3333333333333,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":5941,"base":12}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2171,"base":12}}},"used_operators":["Nsiff2A1zJ","o20kRiQErp","N41Kp7NANJ"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5941","layer":2},{"info":"compute unary expreesion, input=5941, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=2171","layer":2},{"info":"compute unary expreesion, input=2171, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4342","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=-4342, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3531∸)⊴(⫖↰⪸130B≋⫹)=NaN","reverse_text":"NaN=(⫖↰⪸3531∸)⊴(⫖↰⪸130B≋⫹)","cot":[{"info":"⫖↰⪸3531∸=⫖↰⪸129","layer":1},{"info":"⫖↰⪸130B≋⫹=⫖↰⪸-261A","layer":1},{"info":"⫖↰⪸129⊴⫖↰⪸-261A=NaN","layer":0}]}
+{"id":500,"expression_no_base_symbol":"($5575$≦≮≮)⊴($1260$⩨$2399$)","expression":"(⫖↰⪸3287≦≮≮)⊴(⫖↰⪸890⩨⫖↰⪸147B)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5590,"operation_count":3,"complexity_ratio":1863.3333333333333,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":5575,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1260,"base":12},"right_expr":{"type":"numeric_atoms","value":2399,"base":12}}},"used_operators":["Nsiff2A1zJ","D4vGDi5EA2","2DlMacCsIx"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5575","layer":2},{"info":"compute unary expreesion, input=5575, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-16725","layer":1},{"info":"number node, value=1260","layer":2},{"info":"number node, value=2399","layer":2},{"info":"compute binary expreesion, left_input=1260, right_input=2399, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"compute binary expreesion, left_input=-16725, right_input=-3, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3287≦≮≮)⊴(⫖↰⪸890⩨⫖↰⪸147B)=NaN","reverse_text":"NaN=(⫖↰⪸3287≦≮≮)⊴(⫖↰⪸890⩨⫖↰⪸147B)","cot":[{"info":"⫖↰⪸3287≦≮≮=⫖↰⪸-9819","layer":1},{"info":"⫖↰⪸890⩨⫖↰⪸147B=⫖↰⪸-3","layer":1},{"info":"⫖↰⪸-9819⊴⫖↰⪸-3=NaN","layer":0}]}
+{"id":501,"expression_no_base_symbol":"($1109$*$1863$)⋝⋈⪟($4765$%$2523$)","expression":"(⫖↰⪸785*⫖↰⪸10B3)⋝⋈⪟(⫖↰⪸2911%��↰⪸1563)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1113,"operation_count":3,"complexity_ratio":371.0,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1109,"base":12},"right_expr":{"type":"numeric_atoms","value":1863,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4765,"base":12},"right_expr":{"type":"numeric_atoms","value":2523,"base":12}}},"used_operators":["2DDjHMKMc0","9HNa5Wba9A","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸837783","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1109","layer":2},{"info":"number node, value=1863","layer":2},{"info":"compute binary expreesion, left_input=1109, right_input=1863, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2066067","layer":1},{"info":"number node, value=4765","layer":2},{"info":"number node, value=2523","layer":2},{"info":"compute binary expreesion, left_input=4765, right_input=2523, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2242","layer":1},{"info":"compute binary expreesion, left_input=2066067, right_input=2242, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2066067","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸785*⫖↰⪸10B3)⋝⋈⪟(⫖↰⪸2911%⫖↰⪸1563)=⫖↰⪸837783","reverse_text":"⫖↰⪸837783=(⫖↰⪸785*⫖↰⪸10B3)⋝⋈⪟(⫖↰⪸2911%⫖↰⪸1563)","cot":[{"info":"⫖↰⪸785*⫖↰⪸10B3=⫖↰⪸837783","layer":1},{"info":"⫖↰⪸2911%⫖↰⪸1563=⫖↰⪸136A","layer":1},{"info":"⫖↰⪸837783⋝⋈⪟⫖↰⪸136A=⫖↰⪸837783","layer":0}]}
+{"id":502,"expression_no_base_symbol":"(⨑⩽⪐$7170$)⨁⊸⫻","expression":"(⨑⩽⪐⫖↰⪸4196)⨁⊸⫻","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":7170,"base":12}}},"used_operators":["glklzrTFfD","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫖↰⪸-7B96","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7170","layer":2},{"info":"compute unary expreesion, input=7170, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6897","layer":1},{"info":"compute unary expreesion, input=-6897, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-13794","layer":0}],"base":12,"result_base":12,"text":"(⨑⩽⪐⫖↰⪸4196)⨁⊸⫻=⫖↰⪸-7B96","reverse_text":"⫖↰⪸-7B96=(⨑⩽⪐⫖↰⪸4196)⨁⊸⫻","cot":[{"info":"⨑⩽⪐⫖↰⪸4196=⫖↰⪸-3BA9","layer":1},{"info":"⫖↰⪸-3BA9⨁⊸⫻=⫖↰⪸-7B96","layer":0}]}
+{"id":503,"expression_no_base_symbol":"⨰⫟⨤($1879$⫥∨⫟$2443$)","expression":"⨰⫟⨤(⫖↰⪸1107⫥∨⫟⫖↰⪸14B7)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":183,"operation_count":2,"complexity_ratio":91.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1879,"base":12},"right_expr":{"type":"numeric_atoms","value":2443,"base":12}}},"used_operators":["Tw270M8GLb","KYD54nUTWz"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1879","layer":2},{"info":"number node, value=2443","layer":2},{"info":"compute binary expreesion, left_input=1879, right_input=2443, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨰⫟⨤(⫖↰⪸1107⫥∨⫟⫖↰⪸14B7)=NaN","reverse_text":"NaN=⨰⫟⨤(⫖↰⪸1107⫥∨⫟⫖↰⪸14B7)","cot":[{"info":"⫖↰⪸1107⫥∨⫟⫖↰⪸14B7=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
+{"id":504,"expression_no_base_symbol":"($2549$⪠⩆⊳)⇷$2841$⪮%⊝$3056$","expression":"(⫖↰⪸1585⪠⩆⊳)⇷⫖↰⪸1789⪮%⊝⫖↰⪸1928","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22,"operation_count":3,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2549,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2841,"base":12},"right_expr":{"type":"numeric_atoms","value":3056,"base":12}}},"used_operators":["mp7IySMOzn","JLbD19bQDL","IWmyXbctLI"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸6B38","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2549","layer":2},{"info":"compute unary expreesion, input=2549, 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":"number node, value=2841","layer":2},{"info":"number node, value=3056","layer":2},{"info":"compute binary expreesion, left_input=2841, right_input=3056, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5998","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=5998, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11996","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1585⪠⩆⊳)⇷⫖↰⪸1789⪮%⊝⫖↰⪸1928=⫖↰⪸6B38","reverse_text":"⫖↰⪸6B38=(⫖↰⪸1585⪠⩆⊳)⇷⫖↰⪸1789⪮%⊝⫖↰⪸1928","cot":[{"info":"⫖↰⪸1585⪠⩆⊳=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1789⪮%⊝⫖↰⪸1928=⫖↰⪸357A","layer":1},{"info":"⫖↰⪸0⇷⫖↰⪸357A=⫖↰⪸6B38","layer":0}]}
+{"id":505,"expression_no_base_symbol":"(↽≂$1052$)⨰($1187$⨸⪁$2336$)","expression":"(↽≂⫖↰⪸738)⨰(⫖↰⪸82B⨸⪁⫖↰⪸1428)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1052,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1187,"base":12},"right_expr":{"type":"numeric_atoms","value":2336,"base":12}}},"used_operators":["eewbuw0ToL","u6S6b8DprG","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫖↰⪸-5358","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1052","layer":2},{"info":"compute unary expreesion, input=1052, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2104","layer":1},{"info":"number node, value=1187","layer":2},{"info":"number node, value=2336","layer":2},{"info":"compute binary expreesion, left_input=1187, right_input=2336, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7046","layer":1},{"info":"compute binary expreesion, left_input=-2104, right_input=7046, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-9140","layer":0}],"base":12,"result_base":12,"text":"(↽≂⫖↰⪸738)⨰(⫖↰⪸82B⨸⪁⫖↰⪸1428)=⫖↰⪸-5358","reverse_text":"⫖↰⪸-5358=(↽≂⫖↰⪸738)⨰(⫖↰⪸82B⨸⪁⫖↰⪸1428)","cot":[{"info":"↽≂⫖↰⪸738=⫖↰⪸-1274","layer":1},{"info":"⫖↰⪸82B⨸⪁⫖↰⪸1428=⫖↰⪸40B2","layer":1},{"info":"⫖↰⪸-1274⨰⫖↰⪸40B2=⫖↰⪸-5358","layer":0}]}
+{"id":506,"expression_no_base_symbol":"$1210$⪘⫢$1650$⨳⩥⨓(⨰⫟⨤$3934$)","expression":"⫖↰⪸84A⪘⫢⫖↰⪸B56⨳⩥⨓(⨰⫟⨤⫖↰⪸233A)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14914,"operation_count":3,"complexity_ratio":4971.333333333333,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1210,"base":12},"right_expr":{"type":"numeric_atoms","value":1650,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3934,"base":12}}},"used_operators":["nCS4ZIUYfx","oacrs7FA3X","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1210","layer":2},{"info":"number node, value=1650","layer":2},{"info":"compute binary expreesion, left_input=1210, right_input=1650, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2296","layer":1},{"info":"number node, value=3934","layer":2},{"info":"compute unary expreesion, input=3934, 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=2296, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸84A⪘⫢⫖↰⪸B56⨳⩥⨓(⨰⫟⨤⫖↰⪸233A)=NaN","reverse_text":"NaN=⫖↰⪸84A⪘⫢⫖↰⪸B56⨳⩥⨓(⨰⫟⨤⫖↰⪸233A)","cot":[{"info":"⫖↰⪸84A⪘⫢⫖↰⪸B56=⫖↰⪸13B4","layer":1},{"info":"⨰⫟⨤⫖↰⪸233A=NaN","layer":1},{"info":"⫖↰⪸13B4⨳⩥⨓NaN=NaN","layer":0}]}
+{"id":507,"expression_no_base_symbol":"($1184$⊭∹↮)≦≮≮","expression":"(⫖↰⪸828⊭∹↮)≦≮≮","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1184,"base":12}}},"used_operators":["D4vGDi5EA2","xNBdhnnwKq"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸-4140","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1184","layer":2},{"info":"compute unary expreesion, input=1184, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2368","layer":1},{"info":"compute unary expreesion, input=2368, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7104","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸828⊭∹↮)≦≮≮=⫖↰⪸-4140","reverse_text":"⫖↰⪸-4140=(⫖↰⪸828⊭∹↮)≦≮≮","cot":[{"info":"⫖↰⪸828⊭∹↮=⫖↰⪸1454","layer":1},{"info":"⫖↰⪸1454≦≮≮=⫖↰⪸-4140","layer":0}]}
+{"id":508,"expression_no_base_symbol":"($1005$⪒$2013$)⨰(∥⊫$1354$)","expression":"(⫖↰⪸6B9⪒⫖↰⪸11B9)⨰(∥⊫⫖↰⪸94A)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1005,"base":12},"right_expr":{"type":"numeric_atoms","value":2013,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1354,"base":12}}},"used_operators":["eewbuw0ToL","f6k1SAg4EE","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-303A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1005","layer":2},{"info":"number node, value=2013","layer":2},{"info":"compute binary expreesion, left_input=1005, right_input=2013, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3018","layer":1},{"info":"number node, value=1354","layer":2},{"info":"compute unary expreesion, input=1354, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2222","layer":1},{"info":"compute binary expreesion, left_input=-3018, right_input=2222, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5230","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸6B9⪒⫖↰⪸11B9)⨰(∥⊫⫖↰⪸94A)=⫖↰⪸-303A","reverse_text":"⫖↰⪸-303A=(⫖↰⪸6B9⪒⫖↰⪸11B9)⨰(∥⊫⫖↰⪸94A)","cot":[{"info":"⫖↰⪸6B9⪒⫖↰⪸11B9=⫖↰⪸-18B6","layer":1},{"info":"∥⊫⫖↰⪸94A=⫖↰⪸1352","layer":1},{"info":"⫖↰⪸-18B6⨰⫖↰⪸1352=⫖↰⪸-303A","layer":0}]}
+{"id":509,"expression_no_base_symbol":"$1336$⫡⨏$2416$⋷$5916$↺$4039$","expression":"⫖↰⪸934⫡⨏⫖↰⪸1494⋷⫖↰⪸3510↺⫖↰⪸2407","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1336,"base":12},"right_expr":{"type":"numeric_atoms","value":2416,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5916,"base":12},"right_expr":{"type":"numeric_atoms","value":4039,"base":12}}},"used_operators":["23Mk6UjR3U","QMFrweE19q","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-2535","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1336","layer":2},{"info":"number node, value=2416","layer":2},{"info":"compute binary expreesion, left_input=1336, right_input=2416, 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=12295","layer":1},{"info":"number node, value=5916","layer":2},{"info":"number node, value=4039","layer":2},{"info":"compute binary expreesion, left_input=5916, right_input=4039, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4039","layer":1},{"info":"compute binary expreesion, left_input=12295, right_input=4039, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4217","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸934⫡⨏⫖↰⪸1494⋷⫖↰⪸3510↺⫖↰⪸2407=⫖↰⪸-2535","reverse_text":"⫖↰⪸-2535=⫖↰⪸934⫡⨏⫖↰⪸1494⋷⫖↰⪸3510↺⫖↰⪸2407","cot":[{"info":"⫖↰⪸934⫡⨏⫖↰⪸1494=⫖↰⪸7147","layer":1},{"info":"⫖↰⪸3510↺⫖↰⪸2407=⫖↰⪸2407","layer":1},{"info":"⫖↰⪸7147⋷⫖↰⪸2407=⫖↰⪸-2535","layer":0}]}
+{"id":510,"expression_no_base_symbol":"($1516$%$3921$)⩨(≉$1087$)","expression":"(⫖↰⪸A64%⫖↰⪸2329)⩨(≉⫖↰⪸767)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1516,"base":12},"right_expr":{"type":"numeric_atoms","value":3921,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1087,"base":12}}},"used_operators":["2DlMacCsIx","k8jYdgA6NY","e1ybzncUwg"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-3","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1516","layer":2},{"info":"number node, value=3921","layer":2},{"info":"compute binary expreesion, left_input=1516, right_input=3921, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1516","layer":1},{"info":"number node, value=1087","layer":2},{"info":"compute unary expreesion, input=1087, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1618","layer":1},{"info":"compute binary expreesion, left_input=1516, right_input=1618, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A64%⫖↰⪸2329)⩨(≉⫖↰⪸767)=⫖↰⪸-3","reverse_text":"⫖↰⪸-3=(⫖↰⪸A64%⫖↰⪸2329)⩨(≉⫖↰⪸767)","cot":[{"info":"⫖↰⪸A64%⫖↰⪸2329=⫖↰⪸A64","layer":1},{"info":"≉⫖↰⪸767=⫖↰⪸B2A","layer":1},{"info":"⫖↰⪸A64⩨⫖↰⪸B2A=⫖↰⪸-3","layer":0}]}
+{"id":511,"expression_no_base_symbol":"(↣≠⋷$2414$)⨰$6174$⊴$2389$","expression":"(↣≠⋷⫖↰⪸1492)⨰⫖↰⪸36A6⊴⫖↰⪸1471","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2625,"operation_count":3,"complexity_ratio":875.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2414,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6174,"base":12},"right_expr":{"type":"numeric_atoms","value":2389,"base":12}}},"used_operators":["eewbuw0ToL","Asc51vEJeQ","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2414","layer":2},{"info":"compute unary expreesion, input=2414, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=6174","layer":2},{"info":"number node, value=2389","layer":2},{"info":"compute binary expreesion, left_input=6174, right_input=2389, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↣≠⋷⫖↰⪸1492)⨰⫖↰⪸36A6⊴⫖↰⪸1471=NaN","reverse_text":"NaN=(↣≠⋷⫖↰⪸1492)⨰⫖↰⪸36A6⊴⫖↰⪸1471","cot":[{"info":"↣≠⋷⫖↰⪸1492=NaN","layer":1},{"info":"⫖↰⪸36A6⊴⫖↰⪸1471=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
+{"id":512,"expression_no_base_symbol":"↥(↔$5571$)","expression":"↥(↔⫖↰⪸3283)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":110,"operation_count":2,"complexity_ratio":55.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5571,"base":12}}},"used_operators":["A8NUZmVepG","ruOEQAzv1W"],"dependent_operators":["k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫖↰⪸6","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5571","layer":2},{"info":"compute unary expreesion, input=5571, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5298","layer":1},{"info":"compute unary expreesion, input=-5298, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=6","layer":0}],"base":12,"result_base":12,"text":"↥(↔⫖↰⪸3283)=⫖↰⪸6","reverse_text":"⫖↰⪸6=↥(↔⫖↰⪸3283)","cot":[{"info":"↔⫖↰⪸3283=⫖↰⪸-3096","layer":1},{"info":"↥⫖↰⪸-3096=⫖↰⪸6","layer":0}]}
+{"id":513,"expression_no_base_symbol":"($6372$⊪)⨪↰⇹(↔$2641$)","expression":"(⫖↰⪸3830⊪)⨪↰⇹(↔⫖↰⪸1641)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":41,"operation_count":3,"complexity_ratio":13.666666666666666,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":6372,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2641,"base":12}}},"used_operators":["tmPS8pqC7x","zVYPLywUTj","ruOEQAzv1W"],"dependent_operators":["rJVOvQCfKK","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6372","layer":2},{"info":"compute unary expreesion, input=6372, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"number node, value=2641","layer":2},{"info":"compute unary expreesion, input=2641, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2368","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-2368, 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":12,"result_base":12,"text":"(⫖↰⪸3830⊪)⨪↰⇹(↔⫖↰⪸1641)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸3830⊪)⨪↰⇹(↔⫖↰⪸1641)","cot":[{"info":"⫖↰⪸3830⊪=⫖↰⪸0","layer":1},{"info":"↔⫖↰⪸1641=⫖↰⪸-1454","layer":1},{"info":"⫖↰⪸0⨪↰⇹⫖↰⪸-1454=⫖↰⪸0","layer":0}]}
+{"id":514,"expression_no_base_symbol":"⨵≀≌$2729$⨎$1098$","expression":"⨵≀≌⫖↰⪸16B5⨎⫖↰⪸776","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2729,"base":12},"right_expr":{"type":"numeric_atoms","value":1098,"base":12}}},"used_operators":["srAu1WTS94","rJVOvQCfKK"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸-1AA6","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2729","layer":2},{"info":"number node, value=1098","layer":2},{"info":"compute binary expreesion, left_input=2729, right_input=1098, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1098","layer":1},{"info":"compute unary expreesion, input=1098, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3294","layer":0}],"base":12,"result_base":12,"text":"⨵≀≌⫖↰⪸16B5⨎⫖↰⪸776=⫖↰⪸-1AA6","reverse_text":"⫖↰⪸-1AA6=⨵≀≌⫖↰⪸16B5⨎⫖↰⪸776","cot":[{"info":"⫖↰⪸16B5⨎⫖↰⪸776=⫖↰⪸776","layer":1},{"info":"⨵≀≌⫖↰⪸776=⫖↰⪸-1AA6","layer":0}]}
+{"id":515,"expression_no_base_symbol":"($4418$⋷$2043$)⪒(≦∁$1642$)","expression":"(⫖↰⪸2682⋷⫖↰⪸1223)⪒(≦∁⫖↰⪸B4A)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4418,"base":12},"right_expr":{"type":"numeric_atoms","value":2043,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1642,"base":12}}},"used_operators":["f6k1SAg4EE","23Mk6UjR3U","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫖↰⪸-912","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4418","layer":2},{"info":"number node, value=2043","layer":2},{"info":"compute binary expreesion, left_input=4418, right_input=2043, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-332","layer":1},{"info":"number node, value=1642","layer":2},{"info":"compute unary expreesion, input=1642, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1642","layer":1},{"info":"compute binary expreesion, left_input=-332, right_input=1642, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1310","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2682⋷⫖↰⪸1223)⪒(≦∁⫖↰⪸B4A)=⫖↰⪸-912","reverse_text":"⫖↰⪸-912=(⫖↰⪸2682⋷⫖↰⪸1223)⪒(≦∁⫖↰⪸B4A)","cot":[{"info":"⫖↰⪸2682⋷⫖↰⪸1223=⫖↰⪸-238","layer":1},{"info":"≦∁⫖↰⪸B4A=⫖↰⪸B4A","layer":1},{"info":"⫖↰⪸-238⪒⫖↰⪸B4A=⫖↰⪸-912","layer":0}]}
+{"id":516,"expression_no_base_symbol":"⫛⫱⨽($1038$⋓$4027$)","expression":"⫛⫱⨽(⫖↰⪸726⋓⫖↰⪸23B7)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":925,"operation_count":2,"complexity_ratio":462.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1038,"base":12},"right_expr":{"type":"numeric_atoms","value":4027,"base":12}}},"used_operators":["DlLNRPXxWL","T2fj7uvVaJ"],"dependent_operators":["rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1038","layer":2},{"info":"number node, value=4027","layer":2},{"info":"compute binary expreesion, left_input=1038, right_input=4027, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫛⫱⨽(⫖↰⪸726⋓⫖↰⪸23B7)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫛⫱⨽(⫖↰⪸726⋓⫖↰⪸23B7)","cot":[{"info":"⫖↰⪸726⋓⫖↰⪸23B7=⫖↰⪸0","layer":1},{"info":"⫛⫱⨽⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":517,"expression_no_base_symbol":"($1069$/$2596$)⨳⩥⨓$3055$∼$2844$","expression":"(⫖↰⪸751/⫖↰⪸1604)⨳⩥⨓⫖↰⪸1927∼⫖↰⪸1790","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65,"operation_count":3,"complexity_ratio":21.666666666666668,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1069,"base":12},"right_expr":{"type":"numeric_atoms","value":2596,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3055,"base":12},"right_expr":{"type":"numeric_atoms","value":2844,"base":12}}},"used_operators":["nCS4ZIUYfx","XhwjNDsVaA","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1069","layer":2},{"info":"number node, value=2596","layer":2},{"info":"compute binary expreesion, left_input=1069, right_input=2596, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=3055","layer":2},{"info":"number node, value=2844","layer":2},{"info":"compute binary expreesion, left_input=3055, right_input=2844, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸751/⫖↰⪸1604)⨳⩥⨓⫖↰⪸1927∼⫖↰⪸1790=NaN","reverse_text":"NaN=(⫖↰⪸751/⫖↰⪸1604)⨳⩥⨓⫖↰⪸1927∼⫖↰⪸1790","cot":[{"info":"⫖↰⪸751/⫖↰⪸1604=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1927∼⫖↰⪸1790=NaN","layer":1},{"info":"⫖↰⪸0⨳⩥⨓NaN=NaN","layer":0}]}
+{"id":518,"expression_no_base_symbol":"$1740$⨰$6641$⋥≓≎($1923$↙$4622$)","expression":"⫖↰⪸1010⨰⫖↰⪸3A15⋥≓≎(⫖↰⪸1143↙⫖↰⪸2812)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4633,"operation_count":3,"complexity_ratio":1544.3333333333333,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1740,"base":12},"right_expr":{"type":"numeric_atoms","value":6641,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1923,"base":12},"right_expr":{"type":"numeric_atoms","value":4622,"base":12}}},"used_operators":["Qy55tPpLXF","eewbuw0ToL","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1740","layer":2},{"info":"number node, value=6641","layer":2},{"info":"compute binary expreesion, left_input=1740, right_input=6641, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4891","layer":1},{"info":"number node, value=1923","layer":2},{"info":"number node, value=4622","layer":2},{"info":"compute binary expreesion, left_input=1923, right_input=4622, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13866","layer":1},{"info":"compute binary expreesion, left_input=-4891, right_input=-13866, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1010⨰⫖↰⪸3A15⋥≓≎(⫖↰⪸1143↙⫖↰⪸2812)=⫖↰⪸57","reverse_text":"⫖↰⪸57=⫖↰⪸1010⨰⫖↰⪸3A15⋥≓≎(⫖↰⪸1143↙⫖↰⪸2812)","cot":[{"info":"⫖↰⪸1010⨰⫖↰⪸3A15=⫖↰⪸-29B7","layer":1},{"info":"⫖↰⪸1143↙⫖↰⪸2812=⫖↰⪸-8036","layer":1},{"info":"⫖↰⪸-29B7⋥≓≎⫖↰⪸-8036=⫖↰⪸57","layer":0}]}
+{"id":519,"expression_no_base_symbol":"$1256$⊴$2774$-$3110$⊭↱$4060$","expression":"⫖↰⪸888⊴⫖↰⪸1732-⫖↰⪸1972⊭↱⫖↰⪸2424","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2787,"operation_count":3,"complexity_ratio":929.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1256,"base":12},"right_expr":{"type":"numeric_atoms","value":2774,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3110,"base":12},"right_expr":{"type":"numeric_atoms","value":4060,"base":12}}},"used_operators":["rysDP5nf3Z","Nsiff2A1zJ","COABgblf1C"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1256","layer":2},{"info":"number node, value=2774","layer":2},{"info":"compute binary expreesion, left_input=1256, right_input=2774, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=3110","layer":2},{"info":"number node, value=4060","layer":2},{"info":"compute binary expreesion, left_input=3110, right_input=4060, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1905","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1905, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸888⊴⫖↰⪸1732-⫖↰⪸1972⊭↱⫖↰⪸2424=NaN","reverse_text":"NaN=⫖↰⪸888⊴⫖↰⪸1732-⫖↰⪸1972⊭↱⫖↰⪸2424","cot":[{"info":"⫖↰⪸888⊴⫖↰⪸1732=NaN","layer":1},{"info":"⫖↰⪸1972⊭↱⫖↰⪸2424=⫖↰⪸1129","layer":1},{"info":"NaN-⫖↰⪸1129=NaN","layer":0}]}
+{"id":520,"expression_no_base_symbol":"($3094$⪠⩆⊳)-(↔$2852$)","expression":"(⫖↰⪸195A⪠⩆⊳)-(↔⫖↰⪸1798)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3094,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2852,"base":12}}},"used_operators":["rysDP5nf3Z","JLbD19bQDL","ruOEQAzv1W"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫖↰⪸15AB","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3094","layer":2},{"info":"compute unary expreesion, input=3094, 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":"number node, value=2852","layer":2},{"info":"compute unary expreesion, input=2852, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2579","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-2579, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2579","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸195A⪠⩆⊳)-(↔⫖↰⪸1798)=⫖↰⪸15AB","reverse_text":"⫖↰⪸15AB=(⫖↰⪸195A⪠⩆⊳)-(↔⫖↰⪸1798)","cot":[{"info":"⫖↰⪸195A⪠⩆⊳=⫖↰⪸0","layer":1},{"info":"↔⫖↰⪸1798=⫖↰⪸-15AB","layer":1},{"info":"⫖↰⪸0-⫖↰⪸-15AB=⫖↰⪸15AB","layer":0}]}
+{"id":521,"expression_no_base_symbol":"⨑⩽⪐($3106$⪒$1666$)","expression":"⨑⩽⪐(⫖↰⪸196A⪒⫖↰⪸B6A)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3106,"base":12},"right_expr":{"type":"numeric_atoms","value":1666,"base":12}}},"used_operators":["AF7qkfDlqP","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸5B91","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3106","layer":2},{"info":"number node, value=1666","layer":2},{"info":"compute binary expreesion, left_input=3106, right_input=1666, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4772","layer":1},{"info":"compute unary expreesion, input=-4772, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=10333","layer":0}],"base":12,"result_base":12,"text":"⨑⩽⪐(⫖↰⪸196A⪒⫖↰⪸B6A)=⫖↰⪸5B91","reverse_text":"⫖↰⪸5B91=⨑⩽⪐(⫖↰⪸196A⪒⫖↰⪸B6A)","cot":[{"info":"⫖↰⪸196A⪒⫖↰⪸B6A=⫖↰⪸-2918","layer":1},{"info":"⨑⩽⪐⫖↰⪸-2918=⫖↰⪸5B91","layer":0}]}
+{"id":522,"expression_no_base_symbol":"($4005$*$8825$)⩚⊴⇥(↽≂$6290$)","expression":"(⫖↰⪸2399*⫖↰⪸5135)⩚⊴⇥(↽≂⫖↰⪸3782)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4011,"operation_count":3,"complexity_ratio":1337.0,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4005,"base":12},"right_expr":{"type":"numeric_atoms","value":8825,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":6290,"base":12}}},"used_operators":["NTOWxs364D","9HNa5Wba9A","u6S6b8DprG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-B9BA696","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4005","layer":2},{"info":"number node, value=8825","layer":2},{"info":"compute binary expreesion, left_input=4005, right_input=8825, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=35344125","layer":1},{"info":"number node, value=6290","layer":2},{"info":"compute unary expreesion, input=6290, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-12580","layer":1},{"info":"compute binary expreesion, left_input=35344125, right_input=-12580, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-35331666","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2399*⫖↰⪸5135)⩚⊴⇥(↽≂⫖↰⪸3782)=⫖↰⪸-B9BA696","reverse_text":"⫖↰⪸-B9BA696=(⫖↰⪸2399*⫖↰⪸5135)⩚⊴⇥(↽≂⫖↰⪸3782)","cot":[{"info":"⫖↰⪸2399*⫖↰⪸5135=⫖↰⪸BA05939","layer":1},{"info":"↽≂⫖↰⪸3782=⫖↰⪸-7344","layer":1},{"info":"⫖↰⪸BA05939⩚⊴⇥⫖↰⪸-7344=⫖↰⪸-B9BA696","layer":0}]}
+{"id":523,"expression_no_base_symbol":"≦∁$6315$⨽$5602$","expression":"≦∁⫖↰⪸37A3⨽⫖↰⪸32AA","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":403868,"operation_count":2,"complexity_ratio":201934.0,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6315,"base":12},"right_expr":{"type":"numeric_atoms","value":5602,"base":12}}},"used_operators":["9ICcGScMcE","8HhzD0ZcuI"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6315","layer":2},{"info":"number node, value=5602","layer":2},{"info":"compute binary expreesion, left_input=6315, right_input=5602, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-119653167","layer":1},{"info":"compute unary expreesion, input=-119653167, 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":12,"result_base":12,"text":"≦∁⫖↰⪸37A3⨽⫖↰⪸32AA=⫖↰⪸57","reverse_text":"⫖↰⪸57=≦∁⫖↰⪸37A3⨽⫖↰⪸32AA","cot":[{"info":"⫖↰⪸37A3⨽⫖↰⪸32AA=⫖↰⪸-340A3893","layer":1},{"info":"≦∁⫖↰⪸-340A3893=⫖↰⪸57","layer":0}]}
+{"id":524,"expression_no_base_symbol":"(↣≠⋷$5494$)*$1836$⊴$8612$","expression":"(↣≠⋷⫖↰⪸321A)*⫖↰⪸1090⊴⫖↰⪸4B98","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8622,"operation_count":3,"complexity_ratio":2874.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5494,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1836,"base":12},"right_expr":{"type":"numeric_atoms","value":8612,"base":12}}},"used_operators":["9HNa5Wba9A","Asc51vEJeQ","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5494","layer":2},{"info":"compute unary expreesion, input=5494, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=1836","layer":2},{"info":"number node, value=8612","layer":2},{"info":"compute binary expreesion, left_input=1836, right_input=8612, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↣≠⋷⫖↰⪸321A)*⫖↰⪸1090⊴⫖↰⪸4B98=NaN","reverse_text":"NaN=(↣≠⋷⫖↰⪸321A)*⫖↰⪸1090⊴⫖↰⪸4B98","cot":[{"info":"↣≠⋷⫖↰⪸321A=NaN","layer":1},{"info":"⫖↰⪸1090⊴⫖↰⪸4B98=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
+{"id":525,"expression_no_base_symbol":"($8186$⪨≂$1778$)≋⫹","expression":"(⫖↰⪸48A2⪨≂⫖↰⪸1042)≋⫹","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":8186,"base":12},"right_expr":{"type":"numeric_atoms","value":1778,"base":12}}},"used_operators":["N41Kp7NANJ","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-12B50","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8186","layer":2},{"info":"number node, value=1778","layer":2},{"info":"compute binary expreesion, left_input=8186, right_input=1778, 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=12918","layer":1},{"info":"compute unary expreesion, input=12918, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-25836","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸48A2⪨≂⫖↰⪸1042)≋⫹=⫖↰⪸-12B50","reverse_text":"⫖↰⪸-12B50=(⫖↰⪸48A2⪨≂⫖↰⪸1042)≋⫹","cot":[{"info":"⫖↰⪸48A2⪨≂⫖↰⪸1042=⫖↰⪸7586","layer":1},{"info":"⫖↰⪸7586≋⫹=⫖↰⪸-12B50","layer":0}]}
+{"id":526,"expression_no_base_symbol":"$1943$⪢$1159$⋥≓≎$2322$⪢$1534$","expression":"⫖↰⪸115B⪢⫖↰⪸807⋥≓≎⫖↰⪸1416⪢⫖↰⪸A7A","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7481,"operation_count":3,"complexity_ratio":2493.6666666666665,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1943,"base":12},"right_expr":{"type":"numeric_atoms","value":1159,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2322,"base":12},"right_expr":{"type":"numeric_atoms","value":1534,"base":12}}},"used_operators":["Qy55tPpLXF","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1943","layer":2},{"info":"number node, value=1159","layer":2},{"info":"compute binary expreesion, left_input=1943, right_input=1159, 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=2322","layer":2},{"info":"number node, value=1534","layer":2},{"info":"compute binary expreesion, left_input=2322, right_input=1534, 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸115B⪢⫖↰⪸807⋥≓≎⫖↰⪸1416⪢⫖↰⪸A7A=⫖↰⪸57","reverse_text":"⫖↰⪸57=⫖↰⪸115B⪢⫖↰⪸807⋥≓≎⫖↰⪸1416⪢⫖↰⪸A7A","cot":[{"info":"⫖↰⪸115B⪢⫖↰⪸807=NaN","layer":1},{"info":"⫖↰⪸1416⪢⫖↰⪸A7A=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⫖↰⪸57","layer":0}]}
+{"id":527,"expression_no_base_symbol":"$3407$⪘⫢$2001$⪨≂(≉$1133$)","expression":"⫖↰⪸1B7B⪘⫢⫖↰⪸11A9⪨≂(≉⫖↰⪸7A5)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22,"operation_count":3,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3407,"base":12},"right_expr":{"type":"numeric_atoms","value":2001,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1133,"base":12}}},"used_operators":["sdazOOVcIp","oacrs7FA3X","e1ybzncUwg"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸5A62","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3407","layer":2},{"info":"number node, value=2001","layer":2},{"info":"compute binary expreesion, left_input=3407, right_input=2001, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6690","layer":1},{"info":"number node, value=1133","layer":2},{"info":"compute unary expreesion, input=1133, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1664","layer":1},{"info":"compute binary expreesion, left_input=6690, right_input=1664, 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=10154","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1B7B⪘⫢⫖↰⪸11A9⪨≂(≉⫖↰⪸7A5)=⫖↰⪸5A62","reverse_text":"⫖↰⪸5A62=⫖↰⪸1B7B⪘⫢⫖↰⪸11A9⪨≂(≉⫖↰⪸7A5)","cot":[{"info":"⫖↰⪸1B7B⪘⫢⫖↰⪸11A9=⫖↰⪸3A56","layer":1},{"info":"≉⫖↰⪸7A5=⫖↰⪸B68","layer":1},{"info":"⫖↰⪸3A56⪨≂⫖↰⪸B68=⫖↰⪸5A62","layer":0}]}
+{"id":528,"expression_no_base_symbol":"(↣≠⋷$2348$)⋳⪒$4418$⪘⫢$2752$","expression":"(↣≠⋷⫖↰⪸1438)⋳⪒⫖↰⪸2682⪘⫢⫖↰⪸1714","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2348,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4418,"base":12},"right_expr":{"type":"numeric_atoms","value":2752,"base":12}}},"used_operators":["12rbrZMWeM","Asc51vEJeQ","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2348","layer":2},{"info":"compute unary expreesion, input=2348, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=4418","layer":2},{"info":"number node, value=2752","layer":2},{"info":"compute binary expreesion, left_input=4418, right_input=2752, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8712","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8712, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↣≠⋷⫖↰⪸1438)⋳⪒⫖↰⪸2682⪘⫢⫖↰⪸1714=NaN","reverse_text":"NaN=(↣≠⋷⫖↰⪸1438)⋳⪒⫖↰⪸2682⪘⫢⫖↰⪸1714","cot":[{"info":"↣≠⋷⫖↰⪸1438=NaN","layer":1},{"info":"⫖↰⪸2682⪘⫢⫖↰⪸1714=⫖↰⪸5060","layer":1},{"info":"NaN⋳⪒⫖↰⪸5060=NaN","layer":0}]}
+{"id":529,"expression_no_base_symbol":"$5715$+⇶⊼$3170$⊭↱($5228$⨸⪁$1812$)","expression":"⫖↰⪸3383+⇶⊼⫖↰⪸1A02⊭↱(⫖↰⪸3038⨸⪁⫖↰⪸1070)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5715,"base":12},"right_expr":{"type":"numeric_atoms","value":3170,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5228,"base":12},"right_expr":{"type":"numeric_atoms","value":1812,"base":12}}},"used_operators":["COABgblf1C","TpPTUOHfaN","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5715","layer":2},{"info":"number node, value=3170","layer":2},{"info":"compute binary expreesion, left_input=5715, right_input=3170, 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=5228","layer":2},{"info":"number node, value=1812","layer":2},{"info":"compute binary expreesion, left_input=5228, right_input=1812, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14080","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=14080, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3383+⇶⊼⫖↰⪸1A02⊭↱(⫖↰⪸3038⨸⪁⫖↰⪸1070)=NaN","reverse_text":"NaN=⫖↰⪸3383+⇶⊼⫖↰⪸1A02⊭↱(⫖↰⪸3038⨸⪁⫖↰⪸1070)","cot":[{"info":"⫖↰⪸3383+⇶⊼⫖↰⪸1A02=NaN","layer":1},{"info":"⫖↰⪸3038⨸⪁⫖↰⪸1070=⫖↰⪸8194","layer":1},{"info":"NaN⊭↱⫖↰⪸8194=NaN","layer":0}]}
+{"id":530,"expression_no_base_symbol":"($3685$≎⊠⪸$5529$)≹⇙⪍($1029$⋝⋈⪟$6586$)","expression":"(⫖↰⪸2171≎⊠⪸⫖↰⪸3249)≹⇙⪍(⫖↰⪸719⋝⋈⪟⫖↰⪸398A)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":274,"operation_count":3,"complexity_ratio":91.33333333333333,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3685,"base":12},"right_expr":{"type":"numeric_atoms","value":5529,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1029,"base":12},"right_expr":{"type":"numeric_atoms","value":6586,"base":12}}},"used_operators":["AHs5Up7iyr","bJkvcejdHO","2DDjHMKMc0"],"dependent_operators":["dWAJyo7jo9","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3685","layer":2},{"info":"number node, value=5529","layer":2},{"info":"compute binary expreesion, left_input=3685, right_input=5529, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=953942","layer":1},{"info":"number node, value=1029","layer":2},{"info":"number node, value=6586","layer":2},{"info":"compute binary expreesion, left_input=1029, right_input=6586, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1029","layer":1},{"info":"compute binary expreesion, left_input=953942, right_input=1029, 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":12,"result_base":12,"text":"(⫖↰⪸2171≎⊠⪸⫖↰⪸3249)≹⇙⪍(⫖↰⪸719⋝⋈⪟⫖↰⪸398A)=NaN","reverse_text":"NaN=(⫖↰⪸2171≎⊠⪸⫖↰⪸3249)≹⇙⪍(⫖↰⪸719⋝⋈⪟⫖↰⪸398A)","cot":[{"info":"⫖↰⪸2171≎⊠⪸⫖↰⪸3249=⫖↰⪸3A0072","layer":1},{"info":"⫖↰⪸719⋝⋈⪟⫖↰⪸398A=⫖↰⪸719","layer":1},{"info":"⫖↰⪸3A0072≹⇙⪍⫖↰⪸719=NaN","layer":0}]}
+{"id":531,"expression_no_base_symbol":"$1832$⇼⇔∾$4721$⇼⇔∾(≤/$2064$)","expression":"⫖↰⪸1088⇼⇔∾⫖↰⪸2895⇼⇔∾(≤/⫖↰⪸1240)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1832,"base":12},"right_expr":{"type":"numeric_atoms","value":4721,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2064,"base":12}}},"used_operators":["tifHPKVTfV","eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-2705","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1832","layer":2},{"info":"number node, value=4721","layer":2},{"info":"compute binary expreesion, left_input=1832, right_input=4721, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2889","layer":1},{"info":"number node, value=2064","layer":2},{"info":"compute unary expreesion, input=2064, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1580","layer":1},{"info":"compute binary expreesion, left_input=2889, right_input=-1580, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4469","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1088⇼⇔∾⫖↰⪸2895⇼⇔∾(≤/⫖↰⪸1240)=⫖↰⪸-2705","reverse_text":"⫖↰⪸-2705=⫖↰⪸1088⇼⇔∾⫖↰⪸2895⇼⇔∾(≤/⫖↰⪸1240)","cot":[{"info":"⫖↰⪸1088⇼⇔∾⫖↰⪸2895=⫖↰⪸1809","layer":1},{"info":"≤/⫖↰⪸1240=⫖↰⪸-AB8","layer":1},{"info":"⫖↰⪸1809⇼⇔∾⫖↰⪸-AB8=⫖↰⪸-2705","layer":0}]}
+{"id":532,"expression_no_base_symbol":"⊄⩳↩(⫛⫱⨽$5319$)","expression":"⊄⩳↩(⫛⫱⨽⫖↰⪸30B3)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1425,"operation_count":2,"complexity_ratio":712.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5319,"base":12}}},"used_operators":["8w2t5hMYqp","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5319","layer":2},{"info":"compute unary expreesion, input=5319, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⊄⩳↩(⫛⫱⨽⫖↰⪸30B3)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⊄⩳↩(⫛⫱⨽⫖↰⪸30B3)","cot":[{"info":"⫛⫱⨽⫖↰⪸30B3=⫖↰⪸0","layer":1},{"info":"⊄⩳↩⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":533,"expression_no_base_symbol":"$5245$⩚⊴⇥$5052$⨸⪁(≉$1298$)","expression":"⫖↰⪸3051⩚⊴⇥⫖↰⪸2B10⨸⪁(≉⫖↰⪸902)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5245,"base":12},"right_expr":{"type":"numeric_atoms","value":5052,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1298,"base":12}}},"used_operators":["g55IO6H4Gj","NTOWxs364D","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-9B36","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5245","layer":2},{"info":"number node, value=5052","layer":2},{"info":"compute binary expreesion, left_input=5245, right_input=5052, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10418","layer":1},{"info":"number node, value=1298","layer":2},{"info":"compute unary expreesion, input=1298, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1829","layer":1},{"info":"compute binary expreesion, left_input=-10418, right_input=1829, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-17178","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3051⩚⊴⇥⫖↰⪸2B10⨸⪁(≉⫖↰⪸902)=⫖↰⪸-9B36","reverse_text":"⫖↰⪸-9B36=⫖↰⪸3051⩚⊴⇥⫖↰⪸2B10⨸⪁(≉⫖↰⪸902)","cot":[{"info":"⫖↰⪸3051⩚⊴⇥⫖↰⪸2B10=⫖↰⪸-6042","layer":1},{"info":"≉⫖↰⪸902=⫖↰⪸1085","layer":1},{"info":"⫖↰⪸-6042⨸⪁⫖↰⪸1085=⫖↰⪸-9B36","layer":0}]}
+{"id":534,"expression_no_base_symbol":"⩦⩻⨪($1224$↺$2930$)","expression":"⩦⩻⨪(⫖↰⪸860↺⫖↰⪸1842)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1224,"base":12},"right_expr":{"type":"numeric_atoms","value":2930,"base":12}}},"used_operators":["2td37pGCOC","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸1842","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1224","layer":2},{"info":"number node, value=2930","layer":2},{"info":"compute binary expreesion, left_input=1224, right_input=2930, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2930","layer":1},{"info":"compute unary expreesion, input=2930, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2930","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪(⫖↰⪸860↺⫖↰⪸1842)=⫖↰⪸1842","reverse_text":"⫖↰⪸1842=⩦⩻⨪(⫖↰⪸860↺⫖↰⪸1842)","cot":[{"info":"⫖↰⪸860↺⫖↰⪸1842=⫖↰⪸1842","layer":1},{"info":"⩦⩻⨪⫖↰⪸1842=⫖↰⪸1842","layer":0}]}
+{"id":535,"expression_no_base_symbol":"$2527$⪢$1552$↙$1246$⪛$4829$","expression":"⫖↰⪸1567⪢⫖↰⪸A94↙⫖↰⪸87A⪛⫖↰⪸2965","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2090,"operation_count":3,"complexity_ratio":696.6666666666666,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2527,"base":12},"right_expr":{"type":"numeric_atoms","value":1552,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1246,"base":12},"right_expr":{"type":"numeric_atoms","value":4829,"base":12}}},"used_operators":["yyfyN0ffXY","dWAJyo7jo9","uFcxV4UQCh"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2527","layer":2},{"info":"number node, value=1552","layer":2},{"info":"compute binary expreesion, left_input=2527, right_input=1552, 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=1246","layer":2},{"info":"number node, value=4829","layer":2},{"info":"compute binary expreesion, left_input=1246, right_input=4829, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1246","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1246, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1567⪢⫖↰⪸A94↙⫖↰⪸87A⪛⫖↰⪸2965=NaN","reverse_text":"NaN=⫖↰⪸1567⪢⫖↰⪸A94↙⫖↰⪸87A⪛⫖↰⪸2965","cot":[{"info":"⫖↰⪸1567⪢⫖↰⪸A94=NaN","layer":1},{"info":"⫖↰⪸87A⪛⫖↰⪸2965=⫖↰⪸87A","layer":1},{"info":"NaN↙⫖↰⪸87A=NaN","layer":0}]}
+{"id":536,"expression_no_base_symbol":"($1267$⫸⊐$2210$)≹⇙⪍($1416$⇼⇔∾$1040$)","expression":"(⫖↰⪸897⫸⊐⫖↰⪸1342)≹⇙⪍(⫖↰⪸9A0⇼⇔∾⫖↰⪸728)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":142208,"operation_count":3,"complexity_ratio":47402.666666666664,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1267,"base":12},"right_expr":{"type":"numeric_atoms","value":2210,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1416,"base":12},"right_expr":{"type":"numeric_atoms","value":1040,"base":12}}},"used_operators":["AHs5Up7iyr","mqXw5SEYmG","tifHPKVTfV"],"dependent_operators":["dWAJyo7jo9","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1267","layer":2},{"info":"number node, value=2210","layer":2},{"info":"compute binary expreesion, left_input=1267, right_input=2210, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8715","layer":1},{"info":"number node, value=1416","layer":2},{"info":"number node, value=1040","layer":2},{"info":"compute binary expreesion, left_input=1416, right_input=1040, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-376","layer":1},{"info":"compute binary expreesion, left_input=8715, right_input=-376, 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":12,"result_base":12,"text":"(⫖↰⪸897⫸⊐⫖↰⪸1342)≹⇙⪍(⫖↰⪸9A0⇼⇔∾⫖↰⪸728)=NaN","reverse_text":"NaN=(⫖↰⪸897⫸⊐⫖↰⪸1342)≹⇙⪍(⫖↰⪸9A0⇼⇔∾⫖↰⪸728)","cot":[{"info":"⫖↰⪸897⫸⊐⫖↰⪸1342=⫖↰⪸5063","layer":1},{"info":"⫖↰⪸9A0⇼⇔∾⫖↰⪸728=⫖↰⪸-274","layer":1},{"info":"⫖↰⪸5063≹⇙⪍⫖↰⪸-274=NaN","layer":0}]}
+{"id":537,"expression_no_base_symbol":"⪝⪂⫅($3858$⨎$1357$)","expression":"⪝⪂⫅(⫖↰⪸2296⨎⫖↰⪸951)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":151,"operation_count":2,"complexity_ratio":75.5,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3858,"base":12},"right_expr":{"type":"numeric_atoms","value":1357,"base":12}}},"used_operators":["XTarYq4gQB","rJVOvQCfKK"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸-97533","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3858","layer":2},{"info":"number node, value=1357","layer":2},{"info":"compute binary expreesion, left_input=3858, right_input=1357, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1357","layer":1},{"info":"compute unary expreesion, input=1357, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-199479","layer":0}],"base":12,"result_base":12,"text":"⪝⪂⫅(⫖↰⪸2296⨎⫖↰⪸951)=⫖↰⪸-97533","reverse_text":"⫖↰⪸-97533=⪝⪂⫅(⫖↰⪸2296⨎⫖↰⪸951)","cot":[{"info":"⫖↰⪸2296⨎⫖↰⪸951=⫖↰⪸951","layer":1},{"info":"⪝⪂⫅⫖↰⪸951=⫖↰⪸-97533","layer":0}]}
+{"id":538,"expression_no_base_symbol":"≤/($1019$⊉≛↸$4041$)","expression":"≤/(⫖↰⪸70B⊉≛↸⫖↰⪸2409)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1019,"base":12},"right_expr":{"type":"numeric_atoms","value":4041,"base":12}}},"used_operators":["eLAdDNolq6","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-A96","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1019","layer":2},{"info":"number node, value=4041","layer":2},{"info":"compute binary expreesion, left_input=1019, right_input=4041, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2038","layer":1},{"info":"compute unary expreesion, input=2038, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1554","layer":0}],"base":12,"result_base":12,"text":"≤/(⫖↰⪸70B⊉≛↸⫖↰⪸2409)=⫖↰⪸-A96","reverse_text":"⫖↰⪸-A96=≤/(⫖↰⪸70B⊉≛↸⫖↰⪸2409)","cot":[{"info":"⫖↰⪸70B⊉≛↸⫖↰⪸2409=⫖↰⪸121A","layer":1},{"info":"≤/⫖↰⪸121A=⫖↰⪸-A96","layer":0}]}
+{"id":539,"expression_no_base_symbol":"($1742$⨵⪆$2167$)⨸⪁($6111$⨵⪆$3767$)","expression":"(⫖↰⪸1012⨵⪆⫖↰⪸1307)⨸⪁(⫖↰⪸3653⨵⪆⫖↰⪸221B)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1742,"base":12},"right_expr":{"type":"numeric_atoms","value":2167,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6111,"base":12},"right_expr":{"type":"numeric_atoms","value":3767,"base":12}}},"used_operators":["g55IO6H4Gj","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸454","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1742","layer":2},{"info":"number node, value=2167","layer":2},{"info":"compute binary expreesion, left_input=1742, right_input=2167, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=6111","layer":2},{"info":"number node, value=3767","layer":2},{"info":"compute binary expreesion, left_input=6111, right_input=3767, 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=160, right_input=160, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=640","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1012⨵⪆⫖↰⪸1307)⨸⪁(⫖↰⪸3653⨵⪆⫖↰⪸221B)=⫖↰⪸454","reverse_text":"⫖↰⪸454=(⫖↰⪸1012⨵⪆⫖↰⪸1307)⨸⪁(⫖↰⪸3653⨵⪆⫖↰⪸221B)","cot":[{"info":"⫖↰⪸1012⨵⪆⫖↰⪸1307=⫖↰⪸114","layer":1},{"info":"⫖↰⪸3653⨵⪆⫖↰⪸221B=⫖↰⪸114","layer":1},{"info":"⫖↰⪸114⨸⪁⫖↰⪸114=⫖↰⪸454","layer":0}]}
+{"id":540,"expression_no_base_symbol":"($3498$⋝⋈⪟$3324$)↬($5937$-$6427$)","expression":"(⫖↰⪸2036⋝⋈⪟⫖↰⪸1B10)↬(⫖↰⪸3529-⫖↰⪸3877)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"��","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3498,"base":12},"right_expr":{"type":"numeric_atoms","value":3324,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5937,"base":12},"right_expr":{"type":"numeric_atoms","value":6427,"base":12}}},"used_operators":["B5M0gjZbta","2DDjHMKMc0","rysDP5nf3Z"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3498","layer":2},{"info":"number node, value=3324","layer":2},{"info":"compute binary expreesion, left_input=3498, right_input=3324, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3498","layer":1},{"info":"number node, value=5937","layer":2},{"info":"number node, value=6427","layer":2},{"info":"compute binary expreesion, left_input=5937, right_input=6427, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-490","layer":1},{"info":"compute binary expreesion, left_input=3498, right_input=-490, 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":12,"result_base":12,"text":"(⫖↰⪸2036⋝⋈⪟⫖↰⪸1B10)↬(⫖↰⪸3529-⫖↰⪸3877)=NaN","reverse_text":"NaN=(⫖↰⪸2036⋝⋈⪟⫖↰⪸1B10)↬(⫖↰⪸3529-⫖↰⪸3877)","cot":[{"info":"⫖↰⪸2036⋝⋈⪟⫖↰⪸1B10=⫖↰⪸2036","layer":1},{"info":"⫖↰⪸3529-⫖↰⪸3877=⫖↰⪸-34A","layer":1},{"info":"⫖↰⪸2036↬⫖↰⪸-34A=NaN","layer":0}]}
+{"id":541,"expression_no_base_symbol":"($4293$∸)⋓($3714$-$4143$)","expression":"(⫖↰⪸2599∸)⋓(⫖↰⪸2196-⫖↰⪸2493)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":191,"operation_count":3,"complexity_ratio":63.666666666666664,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":4293,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3714,"base":12},"right_expr":{"type":"numeric_atoms","value":4143,"base":12}}},"used_operators":["T2fj7uvVaJ","o20kRiQErp","rysDP5nf3Z"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4293","layer":2},{"info":"compute unary expreesion, input=4293, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=3714","layer":2},{"info":"number node, value=4143","layer":2},{"info":"compute binary expreesion, left_input=3714, right_input=4143, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-429","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=-429, 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":12,"result_base":12,"text":"(⫖↰⪸2599∸)⋓(⫖↰⪸2196-⫖↰⪸2493)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸2599∸)⋓(⫖↰⪸2196-⫖↰⪸2493)","cot":[{"info":"⫖↰⪸2599∸=⫖↰⪸129","layer":1},{"info":"⫖↰⪸2196-⫖↰⪸2493=⫖↰⪸-2B9","layer":1},{"info":"⫖↰⪸129⋓⫖↰⪸-2B9=⫖↰⪸0","layer":0}]}
+{"id":542,"expression_no_base_symbol":"(↥$2690$)⪢($2444$≭$1236$)","expression":"(↥⫖↰⪸1682)⪢(⫖↰⪸14B8≭⫖↰⪸870)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":54,"operation_count":3,"complexity_ratio":18.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2690,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2444,"base":12},"right_expr":{"type":"numeric_atoms","value":1236,"base":12}}},"used_operators":["dWAJyo7jo9","A8NUZmVepG","rxpJgHHUmx"],"dependent_operators":["k8jYdgA6NY","k8jYdgA6NY","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2690","layer":2},{"info":"compute unary expreesion, input=2690, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=38","layer":1},{"info":"number node, value=2444","layer":2},{"info":"number node, value=1236","layer":2},{"info":"compute binary expreesion, left_input=2444, right_input=1236, 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=38, 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":0}],"base":12,"result_base":12,"text":"(↥⫖↰⪸1682)⪢(⫖↰⪸14B8≭⫖↰⪸870)=NaN","reverse_text":"NaN=(↥⫖↰⪸1682)⪢(⫖↰⪸14B8≭⫖↰⪸870)","cot":[{"info":"↥⫖↰⪸1682=⫖↰⪸32","layer":1},{"info":"⫖↰⪸14B8≭⫖↰⪸870=NaN","layer":1},{"info":"⫖↰⪸32⪢NaN=NaN","layer":0}]}
+{"id":543,"expression_no_base_symbol":"⨑⩽⪐$4083$⇷$3638$","expression":"⨑⩽⪐⫖↰⪸2443⇷⫖↰⪸2132","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":57172,"operation_count":2,"complexity_ratio":28586.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4083,"base":12},"right_expr":{"type":"numeric_atoms","value":3638,"base":12}}},"used_operators":["AF7qkfDlqP","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸-4077","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4083","layer":2},{"info":"number node, value=3638","layer":2},{"info":"compute binary expreesion, left_input=4083, right_input=3638, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7276","layer":1},{"info":"compute unary expreesion, input=7276, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7003","layer":0}],"base":12,"result_base":12,"text":"⨑⩽⪐⫖↰⪸2443⇷⫖↰⪸2132=⫖↰⪸-4077","reverse_text":"⫖↰⪸-4077=⨑⩽⪐⫖↰⪸2443⇷⫖↰⪸2132","cot":[{"info":"⫖↰⪸2443⇷⫖↰⪸2132=⫖↰⪸4264","layer":1},{"info":"⨑⩽⪐⫖↰⪸4264=⫖↰⪸-4077","layer":0}]}
+{"id":544,"expression_no_base_symbol":"($1051$≋⫹)⋥≓≎$6597$⪘⫢$8309$","expression":"(⫖↰⪸737≋⫹)⋥≓≎⫖↰⪸3999⪘⫢⫖↰⪸4985","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1051,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6597,"base":12},"right_expr":{"type":"numeric_atoms","value":8309,"base":12}}},"used_operators":["Qy55tPpLXF","N41Kp7NANJ","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1051","layer":2},{"info":"compute unary expreesion, input=1051, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2102","layer":1},{"info":"number node, value=6597","layer":2},{"info":"number node, value=8309","layer":2},{"info":"compute binary expreesion, left_input=6597, right_input=8309, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13070","layer":1},{"info":"compute binary expreesion, left_input=-2102, right_input=13070, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸737≋⫹)⋥≓≎⫖↰⪸3999⪘⫢⫖↰⪸4985=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⫖↰⪸737≋⫹)⋥≓≎⫖↰⪸3999⪘⫢⫖↰⪸4985","cot":[{"info":"⫖↰⪸737≋⫹=⫖↰⪸-1272","layer":1},{"info":"⫖↰⪸3999⪘⫢⫖↰⪸4985=⫖↰⪸7692","layer":1},{"info":"⫖↰⪸-1272⋥≓≎⫖↰⪸7692=⫖↰⪸57","layer":0}]}
+{"id":545,"expression_no_base_symbol":"($1243$≋⫹)∼($1002$⪒$1790$)","expression":"(⫖↰⪸877≋⫹)∼(⫖↰⪸6B6⪒⫖↰⪸1052)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":56,"operation_count":3,"complexity_ratio":18.666666666666668,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1243,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1002,"base":12},"right_expr":{"type":"numeric_atoms","value":1790,"base":12}}},"used_operators":["DyGG3AbaNP","N41Kp7NANJ","f6k1SAg4EE"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1243","layer":2},{"info":"compute unary expreesion, input=1243, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2486","layer":1},{"info":"number node, value=1002","layer":2},{"info":"number node, value=1790","layer":2},{"info":"compute binary expreesion, left_input=1002, right_input=1790, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2792","layer":1},{"info":"compute binary expreesion, left_input=-2486, right_input=-2792, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸877≋⫹)∼(⫖↰⪸6B6⪒⫖↰⪸1052)=NaN","reverse_text":"NaN=(⫖↰⪸877≋⫹)∼(⫖↰⪸6B6⪒⫖↰⪸1052)","cot":[{"info":"⫖↰⪸877≋⫹=⫖↰⪸-1532","layer":1},{"info":"⫖↰⪸6B6⪒⫖↰⪸1052=⫖↰⪸-1748","layer":1},{"info":"⫖↰⪸-1532∼⫖↰⪸-1748=NaN","layer":0}]}
+{"id":546,"expression_no_base_symbol":"(≤/$6100$)↺($1768$⇋≉)","expression":"(≤/⫖↰⪸3644)↺(⫖↰⪸1034⇋≉)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6100,"base":12}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1768,"base":12}}},"used_operators":["7j4O788W3g","eLAdDNolq6","XIabStNQrY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸1BA6","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6100","layer":2},{"info":"compute unary expreesion, input=6100, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5616","layer":1},{"info":"number node, value=1768","layer":2},{"info":"compute unary expreesion, input=1768, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3438","layer":1},{"info":"compute binary expreesion, left_input=-5616, right_input=3438, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3438","layer":0}],"base":12,"result_base":12,"text":"(≤/⫖↰⪸3644)↺(⫖↰⪸1034⇋≉)=⫖↰⪸1BA6","reverse_text":"⫖↰⪸1BA6=(≤/⫖↰⪸3644)↺(⫖↰⪸1034⇋≉)","cot":[{"info":"≤/⫖↰⪸3644=⫖↰⪸-3300","layer":1},{"info":"⫖↰⪸1034⇋≉=⫖↰⪸1BA6","layer":1},{"info":"⫖↰⪸-3300↺⫖↰⪸1BA6=⫖↰⪸1BA6","layer":0}]}
+{"id":547,"expression_no_base_symbol":"$2090$⨰$3307$⫸⊐(≦∁$3482$)","expression":"⫖↰⪸1262⨰⫖↰⪸1AB7⫸⊐(≦∁⫖↰⪸2022)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2090,"base":12},"right_expr":{"type":"numeric_atoms","value":3307,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3482,"base":12}}},"used_operators":["mqXw5SEYmG","eewbuw0ToL","9ICcGScMcE"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫖↰⪸688","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2090","layer":2},{"info":"number node, value=3307","layer":2},{"info":"compute binary expreesion, left_input=2090, right_input=3307, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1207","layer":1},{"info":"number node, value=3482","layer":2},{"info":"compute unary expreesion, input=3482, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3482","layer":1},{"info":"compute binary expreesion, left_input=-1207, right_input=3482, 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":12,"result_base":12,"text":"⫖↰⪸1262⨰⫖↰⪸1AB7⫸⊐(≦∁⫖↰⪸2022)=⫖↰⪸688","reverse_text":"⫖↰⪸688=⫖↰⪸1262⨰⫖↰⪸1AB7⫸⊐(≦∁⫖↰⪸2022)","cot":[{"info":"⫖↰⪸1262⨰⫖↰⪸1AB7=⫖↰⪸-847","layer":1},{"info":"≦∁⫖↰⪸2022=⫖↰⪸2022","layer":1},{"info":"⫖↰⪸-847⫸⊐⫖↰⪸2022=⫖↰⪸688","layer":0}]}
+{"id":548,"expression_no_base_symbol":"($5385$⨎$5973$)⩠","expression":"(⫖↰⪸3149⨎⫖↰⪸3559)⩠","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5385,"base":12},"right_expr":{"type":"numeric_atoms","value":5973,"base":12}}},"used_operators":["sJAwomhLZr","rJVOvQCfKK"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5385","layer":2},{"info":"number node, value=5973","layer":2},{"info":"compute binary expreesion, left_input=5385, right_input=5973, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5973","layer":1},{"info":"compute unary expreesion, input=5973, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3149⨎⫖↰⪸3559)⩠=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸3149⨎⫖↰⪸3559)⩠","cot":[{"info":"⫖↰⪸3149⨎⫖↰⪸3559=⫖↰⪸3559","layer":1},{"info":"⫖↰⪸3559⩠=⫖↰⪸0","layer":0}]}
+{"id":549,"expression_no_base_symbol":"($4033$+$2877$)≭($4971$≎⊠⪸$1682$)","expression":"(⫖↰⪸2401+⫖↰⪸17B9)≭(⫖↰⪸2A63≎⊠⪸⫖↰⪸B82)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":272,"operation_count":3,"complexity_ratio":90.66666666666667,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4033,"base":12},"right_expr":{"type":"numeric_atoms","value":2877,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4971,"base":12},"right_expr":{"type":"numeric_atoms","value":1682,"base":12}}},"used_operators":["rxpJgHHUmx","W4YGzv6Whe","bJkvcejdHO"],"dependent_operators":["AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4033","layer":2},{"info":"number node, value=2877","layer":2},{"info":"compute binary expreesion, left_input=4033, right_input=2877, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6910","layer":1},{"info":"number node, value=4971","layer":2},{"info":"number node, value=1682","layer":2},{"info":"compute binary expreesion, left_input=4971, right_input=1682, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1287016","layer":1},{"info":"compute binary expreesion, left_input=6910, right_input=1287016, 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":12,"result_base":12,"text":"(⫖↰⪸2401+⫖↰⪸17B9)≭(⫖↰⪸2A63≎⊠⪸⫖↰⪸B82)=NaN","reverse_text":"NaN=(⫖↰⪸2401+⫖↰⪸17B9)≭(⫖↰⪸2A63≎⊠⪸⫖↰⪸B82)","cot":[{"info":"⫖↰⪸2401+⫖↰⪸17B9=⫖↰⪸3BBA","layer":1},{"info":"⫖↰⪸2A63≎⊠⪸⫖↰⪸B82=⫖↰⪸520974","layer":1},{"info":"⫖↰⪸3BBA≭⫖↰⪸520974=NaN","layer":0}]}
+{"id":550,"expression_no_base_symbol":"($2658$⨎$8591$)≦≮≮","expression":"(⫖↰⪸1656⨎⫖↰⪸4B7B)≦≮≮","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2658,"base":12},"right_expr":{"type":"numeric_atoms","value":8591,"base":12}}},"used_operators":["D4vGDi5EA2","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸-12AB9","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2658","layer":2},{"info":"number node, value=8591","layer":2},{"info":"compute binary expreesion, left_input=2658, right_input=8591, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8591","layer":1},{"info":"compute unary expreesion, input=8591, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-25773","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1656⨎⫖↰⪸4B7B)≦≮≮=⫖↰⪸-12AB9","reverse_text":"⫖↰⪸-12AB9=(⫖↰⪸1656⨎⫖↰⪸4B7B)≦≮≮","cot":[{"info":"⫖↰⪸1656⨎⫖↰⪸4B7B=⫖↰⪸4B7B","layer":1},{"info":"⫖↰⪸4B7B≦≮≮=⫖↰⪸-12AB9","layer":0}]}
+{"id":551,"expression_no_base_symbol":"(⨞⊢$1087$)⪒($2752$⋫)","expression":"(⨞⊢⫖↰⪸767)⪒(⫖↰⪸1714⋫)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2757,"operation_count":3,"complexity_ratio":919.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1087,"base":12}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2752,"base":12}}},"used_operators":["f6k1SAg4EE","xUOZtlo3hN","JL8yIekQnl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"⫖↰⪸-A43","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1087","layer":2},{"info":"compute unary expreesion, input=1087, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1261","layer":1},{"info":"number node, value=2752","layer":2},{"info":"compute unary expreesion, input=2752, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2752","layer":1},{"info":"compute binary expreesion, left_input=-1261, right_input=2752, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1491","layer":0}],"base":12,"result_base":12,"text":"(⨞⊢⫖↰⪸767)⪒(⫖↰⪸1714⋫)=⫖↰⪸-A43","reverse_text":"⫖↰⪸-A43=(⨞⊢⫖↰⪸767)⪒(⫖↰⪸1714⋫)","cot":[{"info":"⨞⊢⫖↰⪸767=⫖↰⪸-891","layer":1},{"info":"⫖↰⪸1714⋫=⫖↰⪸1714","layer":1},{"info":"⫖↰⪸-891⪒⫖↰⪸1714=⫖↰⪸-A43","layer":0}]}
+{"id":552,"expression_no_base_symbol":"$2825$⋓$3066$⊭↱($1015$+$3615$)","expression":"⫖↰⪸1775⋓⫖↰⪸1936⊭↱(⫖↰⪸707+⫖↰⪸2113)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2825,"base":12},"right_expr":{"type":"numeric_atoms","value":3066,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1015,"base":12},"right_expr":{"type":"numeric_atoms","value":3615,"base":12}}},"used_operators":["COABgblf1C","T2fj7uvVaJ","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫖↰⪸5441","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2825","layer":2},{"info":"number node, value=3066","layer":2},{"info":"compute binary expreesion, left_input=2825, right_input=3066, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=1015","layer":2},{"info":"number node, value=3615","layer":2},{"info":"compute binary expreesion, left_input=1015, right_input=3615, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4630","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=4630, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9265","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1775⋓⫖↰⪸1936⊭↱(⫖↰⪸707+⫖↰⪸2113)=⫖↰⪸5441","reverse_text":"⫖↰⪸5441=⫖↰⪸1775⋓⫖↰⪸1936⊭↱(⫖↰⪸707+⫖↰⪸2113)","cot":[{"info":"⫖↰⪸1775⋓⫖↰⪸1936=⫖↰⪸0","layer":1},{"info":"⫖↰⪸707+⫖↰⪸2113=⫖↰⪸281A","layer":1},{"info":"⫖↰⪸0⊭↱⫖↰⪸281A=⫖↰⪸5441","layer":0}]}
+{"id":553,"expression_no_base_symbol":"(⨰⫟⨤$6212$)↙(≦∁$1015$)","expression":"(⨰⫟⨤⫖↰⪸3718)↙(≦∁⫖↰⪸707)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24010,"operation_count":3,"complexity_ratio":8003.333333333333,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":6212,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1015,"base":12}}},"used_operators":["yyfyN0ffXY","Tw270M8GLb","9ICcGScMcE"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6212","layer":2},{"info":"compute unary expreesion, input=6212, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1015","layer":2},{"info":"compute unary expreesion, input=1015, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1015","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1015, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨰⫟⨤⫖↰⪸3718)↙(≦∁⫖↰⪸707)=NaN","reverse_text":"NaN=(⨰⫟⨤⫖↰⪸3718)↙(≦∁⫖↰⪸707)","cot":[{"info":"⨰⫟⨤⫖↰⪸3718=NaN","layer":1},{"info":"≦∁⫖↰⪸707=⫖↰⪸707","layer":1},{"info":"NaN↙⫖↰⪸707=NaN","layer":0}]}
+{"id":554,"expression_no_base_symbol":"($1857$⪄$2969$)≎⊠⪸($2684$⪄$1326$)","expression":"(⫖↰⪸10A9⪄⫖↰⪸1875)≎⊠⪸(⫖↰⪸1678⪄⫖↰⪸926)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":201,"operation_count":3,"complexity_ratio":67.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1857,"base":12},"right_expr":{"type":"numeric_atoms","value":2969,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2684,"base":12},"right_expr":{"type":"numeric_atoms","value":1326,"base":12}}},"used_operators":["bJkvcejdHO","SUmda5xLS4"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1857","layer":2},{"info":"number node, value=2969","layer":2},{"info":"compute binary expreesion, left_input=1857, right_input=2969, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-282801","layer":1},{"info":"number node, value=2684","layer":2},{"info":"number node, value=1326","layer":2},{"info":"compute binary expreesion, left_input=2684, right_input=1326, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-398625","layer":1},{"info":"compute binary expreesion, left_input=-282801, right_input=-398625, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸10A9⪄⫖↰⪸1875)≎⊠⪸(⫖↰⪸1678⪄⫖↰⪸926)=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⫖↰⪸10A9⪄⫖↰⪸1875)≎⊠⪸(⫖↰⪸1678⪄⫖↰⪸926)","cot":[{"info":"⫖↰⪸10A9⪄⫖↰⪸1875=⫖↰⪸-1177A9","layer":1},{"info":"⫖↰⪸1678⪄⫖↰⪸926=⫖↰⪸-172829","layer":1},{"info":"⫖↰⪸-1177A9≎⊠⪸⫖↰⪸-172829=⫖↰⪸57","layer":0}]}
+{"id":555,"expression_no_base_symbol":"($4171$↙$4695$)⩚⊴⇥$7278$⪢$5020$","expression":"(⫖↰⪸24B7↙⫖↰⪸2873)⩚⊴⇥⫖↰⪸4266⪢⫖↰⪸2AA4","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11462,"operation_count":3,"complexity_ratio":3820.6666666666665,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4171,"base":12},"right_expr":{"type":"numeric_atoms","value":4695,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7278,"base":12},"right_expr":{"type":"numeric_atoms","value":5020,"base":12}}},"used_operators":["NTOWxs364D","yyfyN0ffXY","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4171","layer":2},{"info":"number node, value=4695","layer":2},{"info":"compute binary expreesion, left_input=4171, right_input=4695, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14085","layer":1},{"info":"number node, value=7278","layer":2},{"info":"number node, value=5020","layer":2},{"info":"compute binary expreesion, left_input=7278, right_input=5020, 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=-14085, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸24B7↙⫖↰⪸2873)⩚⊴⇥⫖↰⪸4266⪢⫖↰⪸2AA4=NaN","reverse_text":"NaN=(⫖↰⪸24B7↙⫖↰⪸2873)⩚⊴⇥⫖↰⪸4266⪢⫖↰⪸2AA4","cot":[{"info":"⫖↰⪸24B7↙⫖↰⪸2873=⫖↰⪸-8199","layer":1},{"info":"⫖↰⪸4266⪢⫖↰⪸2AA4=NaN","layer":1},{"info":"⫖↰⪸-8199⩚⊴⇥NaN=NaN","layer":0}]}
+{"id":556,"expression_no_base_symbol":"($6615$⪄$1494$)⩷∴($2660$*$1494$)","expression":"(⫖↰⪸39B3⪄⫖↰⪸A46)⩷∴(⫖↰⪸1658*⫖↰⪸A46)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1595,"operation_count":3,"complexity_ratio":531.6666666666666,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6615,"base":12},"right_expr":{"type":"numeric_atoms","value":1494,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2660,"base":12},"right_expr":{"type":"numeric_atoms","value":1494,"base":12}}},"used_operators":["9FxExcQeMw","SUmda5xLS4","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe"],"result":"⫖↰⪸-339B14A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6615","layer":2},{"info":"number node, value=1494","layer":2},{"info":"compute binary expreesion, left_input=6615, right_input=1494, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-981085","layer":1},{"info":"number node, value=2660","layer":2},{"info":"number node, value=1494","layer":2},{"info":"compute binary expreesion, left_input=2660, right_input=1494, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3974040","layer":1},{"info":"compute binary expreesion, left_input=-981085, right_input=3974040, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9910282","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸39B3⪄⫖↰⪸A46)⩷∴(⫖↰⪸1658*⫖↰⪸A46)=⫖↰⪸-339B14A","reverse_text":"⫖↰⪸-339B14A=(⫖↰⪸39B3⪄⫖↰⪸A46)⩷∴(⫖↰⪸1658*⫖↰⪸A46)","cot":[{"info":"⫖↰⪸39B3⪄⫖↰⪸A46=⫖↰⪸-3B3911","layer":1},{"info":"⫖↰⪸1658*⫖↰⪸A46=⫖↰⪸13B7960","layer":1},{"info":"⫖↰⪸-3B3911⩷∴⫖↰⪸13B7960=⫖↰⪸-339B14A","layer":0}]}
+{"id":557,"expression_no_base_symbol":"($4959$⫡⨏$5000$)⨰($6420$⊪)","expression":"(⫖↰⪸2A53⫡⨏⫖↰⪸2A88)⨰(⫖↰⪸3870⊪)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":46,"operation_count":3,"complexity_ratio":15.333333333333334,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4959,"base":12},"right_expr":{"type":"numeric_atoms","value":5000,"base":12}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":6420,"base":12}}},"used_operators":["eewbuw0ToL","QMFrweE19q","zVYPLywUTj"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⫖↰⪸18718","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4959","layer":2},{"info":"number node, value=5000","layer":2},{"info":"compute binary expreesion, left_input=4959, right_input=5000, 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=35578","layer":1},{"info":"number node, value=6420","layer":2},{"info":"compute unary expreesion, input=6420, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=35578, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=35588","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2A53⫡⨏⫖↰⪸2A88)⨰(⫖↰⪸3870⊪)=⫖↰⪸18718","reverse_text":"⫖↰⪸18718=(⫖↰⪸2A53⫡⨏⫖↰⪸2A88)⨰(⫖↰⪸3870⊪)","cot":[{"info":"⫖↰⪸2A53⫡⨏⫖↰⪸2A88=⫖↰⪸1870A","layer":1},{"info":"⫖↰⪸3870⊪=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1870A⨰⫖↰⪸0=⫖↰⪸18718","layer":0}]}
+{"id":558,"expression_no_base_symbol":"($1109$⫸⊐$1289$)∀⇚≩($1172$⫡⨏$3697$)","expression":"(⫖↰⪸785⫸⊐⫖↰⪸8B5)∀⇚≩(⫖↰⪸818⫡⨏⫖↰⪸2181)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35248,"operation_count":3,"complexity_ratio":11749.333333333334,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1109,"base":12},"right_expr":{"type":"numeric_atoms","value":1289,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1172,"base":12},"right_expr":{"type":"numeric_atoms","value":3697,"base":12}}},"used_operators":["LRNGc0VcxI","mqXw5SEYmG","QMFrweE19q"],"dependent_operators":["X99M06cbEe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1109","layer":2},{"info":"number node, value=1289","layer":2},{"info":"compute binary expreesion, left_input=1109, right_input=1289, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5031","layer":1},{"info":"number node, value=1172","layer":2},{"info":"number node, value=3697","layer":2},{"info":"compute binary expreesion, left_input=1172, right_input=3697, 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=14037","layer":1},{"info":"compute binary expreesion, left_input=5031, right_input=14037, 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":12,"result_base":12,"text":"(⫖↰⪸785⫸⊐⫖↰⪸8B5)∀⇚≩(⫖↰⪸818⫡⨏⫖↰⪸2181)=NaN","reverse_text":"NaN=(⫖↰⪸785⫸⊐⫖↰⪸8B5)∀⇚≩(⫖↰⪸818⫡⨏⫖↰⪸2181)","cot":[{"info":"⫖↰⪸785⫸⊐⫖↰⪸8B5=⫖↰⪸2AB3","layer":1},{"info":"⫖↰⪸818⫡⨏⫖↰⪸2181=⫖↰⪸8159","layer":1},{"info":"⫖↰⪸2AB3∀⇚≩⫖↰⪸8159=NaN","layer":0}]}
+{"id":559,"expression_no_base_symbol":"$4255$⋓$3163$⨸⪁($4450$≦≮≮)","expression":"⫖↰⪸2567⋓⫖↰⪸19B7⨸⪁(⫖↰⪸26AA≦≮≮)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4255,"base":12},"right_expr":{"type":"numeric_atoms","value":3163,"base":12}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4450,"base":12}}},"used_operators":["g55IO6H4Gj","T2fj7uvVaJ","D4vGDi5EA2"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-13550","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4255","layer":2},{"info":"number node, value=3163","layer":2},{"info":"compute binary expreesion, left_input=4255, right_input=3163, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=4450","layer":2},{"info":"compute unary expreesion, input=4450, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-13350","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-13350, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-26700","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2567⋓⫖↰⪸19B7⨸⪁(⫖↰⪸26AA≦≮≮)=⫖↰⪸-13550","reverse_text":"⫖↰⪸-13550=⫖↰⪸2567⋓⫖↰⪸19B7⨸⪁(⫖↰⪸26AA≦≮≮)","cot":[{"info":"⫖↰⪸2567⋓⫖↰⪸19B7=⫖↰⪸0","layer":1},{"info":"⫖↰⪸26AA≦≮≮=⫖↰⪸-7886","layer":1},{"info":"⫖↰⪸0⨸⪁⫖↰⪸-7886=⫖↰⪸-13550","layer":0}]}
+{"id":560,"expression_no_base_symbol":"⊄⩳↩$6554$⊴$1568$","expression":"⊄⩳↩⫖↰⪸3962⊴⫖↰⪸AA8","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5224,"operation_count":2,"complexity_ratio":2612.0,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6554,"base":12},"right_expr":{"type":"numeric_atoms","value":1568,"base":12}}},"used_operators":["8w2t5hMYqp","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6554","layer":2},{"info":"number node, value=1568","layer":2},{"info":"compute binary expreesion, left_input=6554, right_input=1568, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":12,"result_base":12,"text":"⊄⩳↩⫖↰⪸3962⊴⫖↰⪸AA8=NaN","reverse_text":"NaN=⊄⩳↩⫖↰⪸3962⊴⫖↰⪸AA8","cot":[{"info":"⫖↰⪸3962⊴⫖↰⪸AA8=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
+{"id":561,"expression_no_base_symbol":"⊥(↔$3424$)","expression":"⊥(↔⫖↰⪸1B94)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3424,"base":12}}},"used_operators":["Q3PJZHRvZv","ruOEQAzv1W"],"dependent_operators":["fu6greOZ01","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3424","layer":2},{"info":"compute unary expreesion, input=3424, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3151","layer":1},{"info":"compute unary expreesion, input=-3151, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊥(↔⫖↰⪸1B94)=NaN","reverse_text":"NaN=⊥(↔⫖↰⪸1B94)","cot":[{"info":"↔⫖↰⪸1B94=⫖↰⪸-19A7","layer":1},{"info":"⊥⫖↰⪸-19A7=NaN","layer":0}]}
+{"id":562,"expression_no_base_symbol":"$1145$+⇶⊼$2339$-$3357$⊭↱$1417$","expression":"⫖↰⪸7B5+⇶⊼⫖↰⪸142B-⫖↰⪸1B39⊭↱⫖↰⪸9A1","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1145,"base":12},"right_expr":{"type":"numeric_atoms","value":2339,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3357,"base":12},"right_expr":{"type":"numeric_atoms","value":1417,"base":12}}},"used_operators":["rysDP5nf3Z","TpPTUOHfaN","COABgblf1C"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1145","layer":2},{"info":"number node, value=2339","layer":2},{"info":"compute binary expreesion, left_input=1145, right_input=2339, 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=3357","layer":2},{"info":"number node, value=1417","layer":2},{"info":"compute binary expreesion, left_input=3357, right_input=1417, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3875","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3875, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸7B5+⇶⊼⫖↰⪸142B-⫖↰⪸1B39⊭↱⫖↰⪸9A1=NaN","reverse_text":"NaN=⫖↰⪸7B5+⇶⊼⫖↰⪸142B-⫖↰⪸1B39⊭↱⫖↰⪸9A1","cot":[{"info":"⫖↰⪸7B5+⇶⊼⫖↰⪸142B=NaN","layer":1},{"info":"⫖↰⪸1B39⊭↱⫖↰⪸9A1=⫖↰⪸-22AB","layer":1},{"info":"NaN-⫖↰⪸-22AB=NaN","layer":0}]}
+{"id":563,"expression_no_base_symbol":"(⨑⩽⪐$1222$)⪛(+⊝⨔$2821$)","expression":"(⨑⩽⪐⫖↰⪸85A)⪛(+⊝⨔⫖↰⪸1771)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":48,"operation_count":3,"complexity_ratio":16.0,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1222,"base":12}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2821,"base":12}}},"used_operators":["uFcxV4UQCh","AF7qkfDlqP","DhbWaqg5eL"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫖↰⪸3B9","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1222","layer":2},{"info":"compute unary expreesion, input=1222, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-949","layer":1},{"info":"number node, value=2821","layer":2},{"info":"compute unary expreesion, input=2821, 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=-949, right_input=1522, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=573","layer":0}],"base":12,"result_base":12,"text":"(⨑⩽⪐⫖↰⪸85A)⪛(+⊝⨔⫖↰⪸1771)=⫖↰⪸3B9","reverse_text":"⫖↰⪸3B9=(⨑⩽⪐⫖↰⪸85A)⪛(+⊝⨔⫖↰⪸1771)","cot":[{"info":"⨑⩽⪐⫖↰⪸85A=⫖↰⪸-671","layer":1},{"info":"+⊝⨔⫖↰⪸1771=⫖↰⪸A6A","layer":1},{"info":"⫖↰⪸-671⪛⫖↰⪸A6A=⫖↰⪸3B9","layer":0}]}
+{"id":564,"expression_no_base_symbol":"($2845$⩚⊴⇥$1890$)∑⇟⊟($3413$≭$1794$)","expression":"(⫖↰⪸1791⩚⊴⇥⫖↰⪸1116)∑⇟⊟(⫖↰⪸1B85≭⫖↰⪸1056)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2845,"base":12},"right_expr":{"type":"numeric_atoms","value":1890,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3413,"base":12},"right_expr":{"type":"numeric_atoms","value":1794,"base":12}}},"used_operators":["U7g4x0WXJJ","NTOWxs364D","rxpJgHHUmx"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2845","layer":2},{"info":"number node, value=1890","layer":2},{"info":"compute binary expreesion, left_input=2845, right_input=1890, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4856","layer":1},{"info":"number node, value=3413","layer":2},{"info":"number node, value=1794","layer":2},{"info":"compute binary expreesion, left_input=3413, right_input=1794, 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=-4856, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1791⩚⊴⇥⫖↰⪸1116)∑⇟⊟(⫖↰⪸1B85≭⫖↰⪸1056)=NaN","reverse_text":"NaN=(⫖↰⪸1791⩚⊴⇥⫖↰⪸1116)∑⇟⊟(⫖↰⪸1B85≭⫖↰⪸1056)","cot":[{"info":"⫖↰⪸1791⩚⊴⇥⫖↰⪸1116=⫖↰⪸-2988","layer":1},{"info":"⫖↰⪸1B85≭⫖↰⪸1056=NaN","layer":1},{"info":"⫖↰⪸-2988∑⇟⊟NaN=NaN","layer":0}]}
+{"id":565,"expression_no_base_symbol":"$4684$⨽$3889$⨳⩥⨓(⊥$3528$)","expression":"⫖↰⪸2864⨽⫖↰⪸2301⨳⩥⨓(⊥⫖↰⪸2060)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4697,"operation_count":3,"complexity_ratio":1565.6666666666667,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4684,"base":12},"right_expr":{"type":"numeric_atoms","value":3889,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3528,"base":12}}},"used_operators":["nCS4ZIUYfx","8HhzD0ZcuI","Q3PJZHRvZv"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4684","layer":2},{"info":"number node, value=3889","layer":2},{"info":"compute binary expreesion, left_input=4684, right_input=3889, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-65829921","layer":1},{"info":"number node, value=3528","layer":2},{"info":"compute unary expreesion, input=3528, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-65829921, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2864⨽⫖↰⪸2301⨳⩥⨓(⊥⫖↰⪸2060)=NaN","reverse_text":"NaN=⫖↰⪸2864⨽⫖↰⪸2301⨳⩥⨓(⊥⫖↰⪸2060)","cot":[{"info":"⫖↰⪸2864⨽⫖↰⪸2301=⫖↰⪸-1A068029","layer":1},{"info":"⊥⫖↰⪸2060=NaN","layer":1},{"info":"⫖↰⪸-1A068029⨳⩥⨓NaN=NaN","layer":0}]}
+{"id":566,"expression_no_base_symbol":"($3565$⨵⪆$1129$)%$4014$+⇶⊼$1740$","expression":"(⫖↰⪸2091⨵⪆⫖↰⪸7A1)%⫖↰⪸23A6+⇶⊼⫖↰⪸1010","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3565,"base":12},"right_expr":{"type":"numeric_atoms","value":1129,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4014,"base":12},"right_expr":{"type":"numeric_atoms","value":1740,"base":12}}},"used_operators":["k8jYdgA6NY","2DQ55sFlQl","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3565","layer":2},{"info":"number node, value=1129","layer":2},{"info":"compute binary expreesion, left_input=3565, right_input=1129, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=4014","layer":2},{"info":"number node, value=1740","layer":2},{"info":"compute binary expreesion, left_input=4014, right_input=1740, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2091⨵⪆⫖↰⪸7A1)%⫖↰⪸23A6+⇶⊼⫖↰⪸1010=NaN","reverse_text":"NaN=(⫖↰⪸2091⨵⪆⫖↰⪸7A1)%⫖↰⪸23A6+⇶⊼⫖↰⪸1010","cot":[{"info":"⫖↰⪸2091⨵⪆⫖↰⪸7A1=⫖↰⪸114","layer":1},{"info":"⫖↰⪸23A6+⇶⊼⫖↰⪸1010=NaN","layer":1},{"info":"⫖↰⪸114%NaN=NaN","layer":0}]}
+{"id":567,"expression_no_base_symbol":"($4923$⊭↱$7857$)⨓($8349$/$3850$)","expression":"(⫖↰⪸2A23⊭↱⫖↰⪸4669)⨓(⫖↰⪸49B9/⫖↰⪸228A)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4923,"base":12},"right_expr":{"type":"numeric_atoms","value":7857,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":8349,"base":12},"right_expr":{"type":"numeric_atoms","value":3850,"base":12}}},"used_operators":["3ViojmjbAp","COABgblf1C","XhwjNDsVaA"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-5","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4923","layer":2},{"info":"number node, value=7857","layer":2},{"info":"compute binary expreesion, left_input=4923, right_input=7857, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5873","layer":1},{"info":"number node, value=8349","layer":2},{"info":"number node, value=3850","layer":2},{"info":"compute binary expreesion, left_input=8349, right_input=3850, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":1},{"info":"compute binary expreesion, left_input=5873, right_input=2, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2A23⊭↱⫖↰⪸4669)⨓(⫖↰⪸49B9/⫖↰⪸228A)=⫖↰⪸-5","reverse_text":"⫖↰⪸-5=(⫖↰⪸2A23⊭↱⫖↰⪸4669)⨓(⫖↰⪸49B9/⫖↰⪸228A)","cot":[{"info":"⫖↰⪸2A23⊭↱⫖↰⪸4669=⫖↰⪸3495","layer":1},{"info":"⫖↰⪸49B9/⫖↰⪸228A=⫖↰⪸2","layer":1},{"info":"⫖↰⪸3495⨓⫖↰⪸2=⫖↰⪸-5","layer":0}]}
+{"id":568,"expression_no_base_symbol":"(⨵≀≌$3053$)⨐⩸⫘$2300$⪮%⊝$2092$","expression":"(⨵≀≌⫖↰⪸1925)⨐⩸⫘⫖↰⪸13B8⪮%⊝⫖↰⪸1264","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3053,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2300,"base":12},"right_expr":{"type":"numeric_atoms","value":2092,"base":12}}},"used_operators":["fu6greOZ01","srAu1WTS94","IWmyXbctLI"],"dependent_operators":["3ViojmjbAp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3053","layer":2},{"info":"compute unary expreesion, input=3053, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9159","layer":1},{"info":"number node, value=2300","layer":2},{"info":"number node, value=2092","layer":2},{"info":"compute binary expreesion, left_input=2300, right_input=2092, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4916","layer":1},{"info":"compute binary expreesion, left_input=-9159, right_input=4916, 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":12,"result_base":12,"text":"(⨵≀≌⫖↰⪸1925)⨐⩸⫘⫖↰⪸13B8⪮%⊝⫖↰⪸1264=NaN","reverse_text":"NaN=(⨵≀≌⫖↰⪸1925)⨐⩸⫘⫖↰⪸13B8⪮%⊝⫖↰⪸1264","cot":[{"info":"⨵≀��⫖↰⪸1925=⫖↰⪸-5373","layer":1},{"info":"⫖↰⪸13B8⪮%⊝⫖↰⪸1264=⫖↰⪸2A18","layer":1},{"info":"⫖↰⪸-5373⨐⩸⫘⫖↰⪸2A18=NaN","layer":0}]}
+{"id":569,"expression_no_base_symbol":"(+⊝⨔$2539$)⪮%⊝($1581$∼$3350$)","expression":"(+⊝⨔⫖↰⪸1577)⪮%⊝(⫖↰⪸AB9∼⫖↰⪸1B32)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":82,"operation_count":3,"complexity_ratio":27.333333333333332,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2539,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1581,"base":12},"right_expr":{"type":"numeric_atoms","value":3350,"base":12}}},"used_operators":["IWmyXbctLI","DhbWaqg5eL","DyGG3AbaNP"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2539","layer":2},{"info":"compute unary expreesion, input=2539, 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=1581","layer":2},{"info":"number node, value=3350","layer":2},{"info":"compute binary expreesion, left_input=1581, right_input=3350, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(+⊝⨔⫖↰⪸1577)⪮%⊝(⫖↰⪸AB9∼⫖↰⪸1B32)=NaN","reverse_text":"NaN=(+⊝⨔⫖↰⪸1577)⪮%⊝(⫖↰⪸AB9∼⫖↰⪸1B32)","cot":[{"info":"+⊝⨔⫖↰⪸1577=⫖↰⪸A6A","layer":1},{"info":"⫖↰⪸AB9∼⫖↰⪸1B32=NaN","layer":1},{"info":"⫖↰⪸A6A⪮%⊝NaN=NaN","layer":0}]}
+{"id":570,"expression_no_base_symbol":"($7089$↛⩡⫤)⨰($2196$⨐⩸⫘$8015$)","expression":"(⫖↰⪸4129↛⩡⫤)⨰(⫖↰⪸1330⨐⩸⫘⫖↰⪸477B)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21408,"operation_count":3,"complexity_ratio":7136.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":7089,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2196,"base":12},"right_expr":{"type":"numeric_atoms","value":8015,"base":12}}},"used_operators":["eewbuw0ToL","FU0Cs4j7VP","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7089","layer":2},{"info":"compute unary expreesion, input=7089, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1066528","layer":1},{"info":"number node, value=2196","layer":2},{"info":"number node, value=8015","layer":2},{"info":"compute binary expreesion, left_input=2196, right_input=8015, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1066528, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸4129↛⩡⫤)⨰(⫖↰⪸1330⨐⩸⫘⫖↰⪸477B)=NaN","reverse_text":"NaN=(⫖↰⪸4129↛⩡⫤)⨰(⫖↰⪸1330⨐⩸⫘⫖↰⪸477B)","cot":[{"info":"⫖↰⪸4129↛⩡⫤=⫖↰⪸-435254","layer":1},{"info":"⫖↰⪸1330⨐⩸⫘⫖↰⪸477B=NaN","layer":1},{"info":"⫖↰⪸-435254⨰NaN=NaN","layer":0}]}
+{"id":571,"expression_no_base_symbol":"($3199$⪮%⊝$2616$)⪮%⊝($3355$*$3024$)","expression":"(⫖↰⪸1A27⪮%⊝⫖↰⪸1620)⪮%⊝(⫖↰⪸1B37*⫖↰⪸1900)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3042,"operation_count":3,"complexity_ratio":1014.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3199,"base":12},"right_expr":{"type":"numeric_atoms","value":2616,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3355,"base":12},"right_expr":{"type":"numeric_atoms","value":3024,"base":12}}},"used_operators":["IWmyXbctLI","9HNa5Wba9A"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe"],"result":"⫖↰⪸7B54","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3199","layer":2},{"info":"number node, value=2616","layer":2},{"info":"compute binary expreesion, left_input=3199, right_input=2616, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6714","layer":1},{"info":"number node, value=3355","layer":2},{"info":"number node, value=3024","layer":2},{"info":"compute binary expreesion, left_input=3355, right_input=3024, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10145520","layer":1},{"info":"compute binary expreesion, left_input=6714, right_input=10145520, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13744","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1A27⪮%⊝⫖↰⪸1620)⪮%⊝(⫖↰⪸1B37*⫖↰⪸1900)=⫖↰⪸7B54","reverse_text":"⫖↰⪸7B54=(⫖↰⪸1A27⪮%⊝⫖↰⪸1620)⪮%⊝(⫖↰⪸1B37*⫖↰⪸1900)","cot":[{"info":"⫖↰⪸1A27⪮%⊝⫖↰⪸1620=⫖↰⪸3A76","layer":1},{"info":"⫖↰⪸1B37*⫖↰⪸1900=⫖↰⪸3493300","layer":1},{"info":"⫖↰⪸3A76⪮%⊝⫖↰⪸3493300=⫖↰⪸7B54","layer":0}]}
+{"id":572,"expression_no_base_symbol":"(+⊝⨔$2929$)⋥≓≎$1130$⋥≓≎$1149$","expression":"(+⊝⨔⫖↰⪸1841)⋥≓≎⫖↰⪸7A2⋥≓≎⫖↰⪸7B9","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":48,"operation_count":3,"complexity_ratio":16.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2929,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1130,"base":12},"right_expr":{"type":"numeric_atoms","value":1149,"base":12}}},"used_operators":["Qy55tPpLXF","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫖↰⪸641","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2929","layer":2},{"info":"compute unary expreesion, input=2929, 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=1130","layer":2},{"info":"number node, value=1149","layer":2},{"info":"compute binary expreesion, left_input=1130, right_input=1149, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1201","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=1201, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=913","layer":0}],"base":12,"result_base":12,"text":"(+⊝⨔⫖↰⪸1841)⋥≓≎⫖↰⪸7A2⋥≓≎⫖↰⪸7B9=⫖↰⪸641","reverse_text":"⫖↰⪸641=(+⊝⨔⫖↰⪸1841)⋥≓≎⫖↰⪸7A2⋥≓≎⫖↰⪸7B9","cot":[{"info":"+⊝⨔⫖↰⪸1841=⫖↰⪸A6A","layer":1},{"info":"⫖↰⪸7A2⋥≓≎⫖↰⪸7B9=⫖↰⪸841","layer":1},{"info":"⫖↰⪸A6A⋥≓≎⫖↰⪸841=⫖↰⪸641","layer":0}]}
+{"id":573,"expression_no_base_symbol":"$2781$∑⇟⊟$1092$↙($2698$⊭↱$6861$)","expression":"⫖↰⪸1739∑⇟⊟⫖↰⪸770↙(⫖↰⪸168A⊭↱⫖↰⪸3B79)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2781,"base":12},"right_expr":{"type":"numeric_atoms","value":1092,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2698,"base":12},"right_expr":{"type":"numeric_atoms","value":6861,"base":12}}},"used_operators":["yyfyN0ffXY","U7g4x0WXJJ","COABgblf1C"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2781","layer":2},{"info":"number node, value=1092","layer":2},{"info":"compute binary expreesion, left_input=2781, right_input=1092, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2698","layer":2},{"info":"number node, value=6861","layer":2},{"info":"compute binary expreesion, left_input=2698, right_input=6861, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8331","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8331, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1739∑⇟⊟⫖↰⪸770↙(⫖↰⪸168A⊭↱⫖↰⪸3B79)=NaN","reverse_text":"NaN=⫖↰⪸1739∑⇟⊟⫖↰⪸770↙(⫖↰⪸168A⊭↱⫖↰⪸3B79)","cot":[{"info":"⫖↰⪸1739∑⇟⊟⫖↰⪸770=NaN","layer":1},{"info":"⫖↰⪸168A⊭↱⫖↰⪸3B79=⫖↰⪸49A3","layer":1},{"info":"NaN↙⫖↰⪸49A3=NaN","layer":0}]}
+{"id":574,"expression_no_base_symbol":"≤/$3339$⫸⊐$6212$","expression":"≤/⫖↰⪸1B23⫸⊐⫖↰⪸3718","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3339,"base":12},"right_expr":{"type":"numeric_atoms","value":6212,"base":12}}},"used_operators":["eLAdDNolq6","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸-1203B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3339","layer":2},{"info":"number node, value=6212","layer":2},{"info":"compute binary expreesion, left_input=3339, right_input=6212, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=24723","layer":1},{"info":"compute unary expreesion, input=24723, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-24239","layer":0}],"base":12,"result_base":12,"text":"≤/⫖↰⪸1B23⫸⊐⫖↰⪸3718=⫖↰⪸-1203B","reverse_text":"⫖↰⪸-1203B=≤/⫖↰⪸1B23⫸⊐⫖↰⪸3718","cot":[{"info":"⫖↰⪸1B23⫸⊐⫖↰⪸3718=⫖↰⪸12383","layer":1},{"info":"≤/⫖↰⪸12383=⫖↰⪸-1203B","layer":0}]}
+{"id":575,"expression_no_base_symbol":"($2397$/$1420$)+⇶⊼($1556$⋥≓≎$1464$)","expression":"(⫖↰⪸1479/⫖↰⪸9A4)+⇶⊼(⫖↰⪸A98⋥≓≎⫖↰⪸A20)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2397,"base":12},"right_expr":{"type":"numeric_atoms","value":1420,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1556,"base":12},"right_expr":{"type":"numeric_atoms","value":1464,"base":12}}},"used_operators":["TpPTUOHfaN","XhwjNDsVaA","Qy55tPpLXF"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2397","layer":2},{"info":"number node, value=1420","layer":2},{"info":"compute binary expreesion, left_input=2397, right_input=1420, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"number node, value=1556","layer":2},{"info":"number node, value=1464","layer":2},{"info":"compute binary expreesion, left_input=1556, right_input=1464, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1405","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=1405, 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":12,"result_base":12,"text":"(⫖↰⪸1479/⫖↰⪸9A4)+⇶⊼(⫖↰⪸A98⋥≓≎⫖↰⪸A20)=NaN","reverse_text":"NaN=(⫖↰⪸1479/⫖↰⪸9A4)+⇶⊼(⫖↰⪸A98⋥≓≎⫖↰⪸A20)","cot":[{"info":"⫖↰⪸1479/⫖↰⪸9A4=⫖↰⪸1","layer":1},{"info":"⫖↰⪸A98⋥≓≎⫖↰⪸A20=⫖↰⪸991","layer":1},{"info":"⫖↰⪸1+⇶⊼⫖↰⪸991=NaN","layer":0}]}
+{"id":576,"expression_no_base_symbol":"≉$1501$∑⇟⊟$1108$","expression":"≉⫖↰⪸A51∑⇟⊟⫖↰⪸784","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1501,"base":12},"right_expr":{"type":"numeric_atoms","value":1108,"base":12}}},"used_operators":["e1ybzncUwg","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1501","layer":2},{"info":"number node, value=1108","layer":2},{"info":"compute binary expreesion, left_input=1501, right_input=1108, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≉⫖↰⪸A51∑⇟⊟⫖↰⪸784=NaN","reverse_text":"NaN=≉⫖↰⪸A51∑⇟⊟⫖↰⪸784","cot":[{"info":"⫖↰⪸A51∑⇟⊟⫖↰⪸784=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
+{"id":577,"expression_no_base_symbol":"($2621$⩨$1450$)⪄$4187$↺$6589$","expression":"(⫖↰⪸1625⩨⫖↰⪸A0A)⪄⫖↰⪸250B↺⫖↰⪸3991","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30,"operation_count":3,"complexity_ratio":10.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2621,"base":12},"right_expr":{"type":"numeric_atoms","value":1450,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4187,"base":12},"right_expr":{"type":"numeric_atoms","value":6589,"base":12}}},"used_operators":["SUmda5xLS4","2DlMacCsIx","7j4O788W3g"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-10BA5","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2621","layer":2},{"info":"number node, value=1450","layer":2},{"info":"compute binary expreesion, left_input=2621, right_input=1450, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=4187","layer":2},{"info":"number node, value=6589","layer":2},{"info":"compute binary expreesion, left_input=4187, right_input=6589, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6589","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6589, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-22445","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1625⩨⫖↰⪸A0A)⪄⫖↰⪸250B↺⫖↰⪸3991=⫖↰⪸-10BA5","reverse_text":"⫖↰⪸-10BA5=(⫖↰⪸1625⩨⫖↰⪸A0A)⪄⫖↰⪸250B↺⫖↰⪸3991","cot":[{"info":"⫖↰⪸1625⩨⫖↰⪸A0A=⫖↰⪸0","layer":1},{"info":"⫖↰⪸250B↺⫖↰⪸3991=⫖↰⪸3991","layer":1},{"info":"⫖↰⪸0⪄⫖↰⪸3991=⫖↰⪸-10BA5","layer":0}]}
+{"id":578,"expression_no_base_symbol":"⫛⫱⨽($1005$⋝⋈⪟$1226$)","expression":"⫛⫱⨽(⫖↰⪸6B9⋝⋈⪟⫖↰⪸862)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1425,"operation_count":2,"complexity_ratio":712.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1005,"base":12},"right_expr":{"type":"numeric_atoms","value":1226,"base":12}}},"used_operators":["DlLNRPXxWL","2DDjHMKMc0"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1005","layer":2},{"info":"number node, value=1226","layer":2},{"info":"compute binary expreesion, left_input=1005, right_input=1226, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1005","layer":1},{"info":"compute unary expreesion, input=1005, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫛⫱⨽(⫖↰⪸6B9⋝⋈⪟⫖↰⪸862)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫛⫱⨽(⫖↰⪸6B9⋝⋈⪟⫖↰⪸862)","cot":[{"info":"⫖↰⪸6B9⋝⋈⪟⫖↰⪸862=⫖↰⪸6B9","layer":1},{"info":"⫛⫱⨽⫖↰⪸6B9=⫖↰⪸0","layer":0}]}
+{"id":579,"expression_no_base_symbol":"($3321$⫡⨏$4012$)⪘⫢($6237$↛⩡⫤)","expression":"(⫖↰⪸1B09⫡⨏⫖↰⪸23A4)⪘⫢(⫖↰⪸3739↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18861,"operation_count":3,"complexity_ratio":6287.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3321,"base":12},"right_expr":{"type":"numeric_atoms","value":4012,"base":12}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":6237,"base":12}}},"used_operators":["oacrs7FA3X","QMFrweE19q","FU0Cs4j7VP"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"⫖↰⪸-1","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3321","layer":2},{"info":"number node, value=4012","layer":2},{"info":"compute binary expreesion, left_input=3321, right_input=4012, 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=25412","layer":1},{"info":"number node, value=6237","layer":2},{"info":"compute unary expreesion, input=6237, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-937876","layer":1},{"info":"compute binary expreesion, left_input=25412, right_input=-937876, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1B09⫡⨏⫖↰⪸23A4)⪘⫢(⫖↰⪸3739↛⩡⫤)=⫖↰⪸-1","reverse_text":"⫖↰⪸-1=(⫖↰⪸1B09⫡⨏⫖↰⪸23A4)⪘⫢(⫖↰⪸3739↛⩡⫤)","cot":[{"info":"⫖↰⪸1B09⫡⨏⫖↰⪸23A4=⫖↰⪸12858","layer":1},{"info":"⫖↰⪸3739↛⩡⫤=⫖↰⪸-392904","layer":1},{"info":"⫖↰⪸12858⪘⫢⫖↰⪸-392904=⫖↰⪸-1","layer":0}]}
+{"id":580,"expression_no_base_symbol":"(∥⊫$1368$)⩨$1852$≎⊠⪸$2683$","expression":"(∥⊫⫖↰⪸960)⩨⫖↰⪸10A4≎⊠⪸⫖↰⪸1677","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":491,"operation_count":3,"complexity_ratio":163.66666666666666,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1368,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1852,"base":12},"right_expr":{"type":"numeric_atoms","value":2683,"base":12}}},"used_operators":["2DlMacCsIx","P8v4zCKN1o","bJkvcejdHO"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫖↰⪸-456","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1368","layer":2},{"info":"compute unary expreesion, input=1368, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2236","layer":1},{"info":"number node, value=1852","layer":2},{"info":"number node, value=2683","layer":2},{"info":"compute binary expreesion, left_input=1852, right_input=2683, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=479195","layer":1},{"info":"compute binary expreesion, left_input=2236, right_input=479195, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-642","layer":0}],"base":12,"result_base":12,"text":"(∥⊫⫖↰⪸960)⩨⫖↰⪸10A4≎⊠⪸⫖↰⪸1677=⫖↰⪸-456","reverse_text":"⫖↰⪸-456=(∥⊫⫖↰⪸960)⩨⫖↰⪸10A4≎⊠⪸⫖↰⪸1677","cot":[{"info":"∥⊫⫖↰⪸960=⫖↰⪸1364","layer":1},{"info":"⫖↰⪸10A4≎⊠⪸⫖↰⪸1677=⫖↰⪸1B138B","layer":1},{"info":"⫖↰⪸1364⩨⫖↰⪸1B138B=⫖↰⪸-456","layer":0}]}
+{"id":581,"expression_no_base_symbol":"($1101$≋⫹)⪛($3101$↬$1267$)","expression":"(⫖↰⪸779≋⫹)⪛(⫖↰⪸1965↬⫖↰⪸897)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1101,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3101,"base":12},"right_expr":{"type":"numeric_atoms","value":1267,"base":12}}},"used_operators":["uFcxV4UQCh","N41Kp7NANJ","B5M0gjZbta"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1101","layer":2},{"info":"compute unary expreesion, input=1101, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2202","layer":1},{"info":"number node, value=3101","layer":2},{"info":"number node, value=1267","layer":2},{"info":"compute binary expreesion, left_input=3101, right_input=1267, 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=-2202, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸779≋⫹)⪛(⫖↰⪸1965↬⫖↰⪸897)=NaN","reverse_text":"NaN=(⫖↰⪸779≋⫹)⪛(⫖↰⪸1965↬⫖↰⪸897)","cot":[{"info":"⫖↰⪸779≋⫹=⫖↰⪸-1336","layer":1},{"info":"⫖↰⪸1965↬⫖↰⪸897=NaN","layer":1},{"info":"⫖↰⪸-1336⪛NaN=NaN","layer":0}]}
+{"id":582,"expression_no_base_symbol":"≦∁($3969$∸)","expression":"≦∁(⫖↰⪸2369∸)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":201,"operation_count":2,"complexity_ratio":100.5,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3969,"base":12}}},"used_operators":["9ICcGScMcE","o20kRiQErp"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","tmPS8pqC7x"],"result":"⫖↰⪸-14B8","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3969","layer":2},{"info":"compute unary expreesion, input=3969, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute unary expreesion, input=177, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-2444","layer":0}],"base":12,"result_base":12,"text":"≦∁(⫖↰⪸2369∸)=⫖↰⪸-14B8","reverse_text":"⫖↰⪸-14B8=≦∁(⫖↰⪸2369∸)","cot":[{"info":"⫖↰⪸2369∸=⫖↰⪸129","layer":1},{"info":"≦∁⫖↰⪸129=⫖↰⪸-14B8","layer":0}]}
+{"id":583,"expression_no_base_symbol":"$1226$≹⇙⪍$2300$⨓($1234$≭$3720$)","expression":"⫖↰⪸862≹⇙⪍⫖↰⪸13B8⨓(⫖↰⪸86A≭⫖↰⪸21A0)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1226,"base":12},"right_expr":{"type":"numeric_atoms","value":2300,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1234,"base":12},"right_expr":{"type":"numeric_atoms","value":3720,"base":12}}},"used_operators":["3ViojmjbAp","AHs5Up7iyr","rxpJgHHUmx"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1226","layer":2},{"info":"number node, value=2300","layer":2},{"info":"compute binary expreesion, left_input=1226, right_input=2300, 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=1234","layer":2},{"info":"number node, value=3720","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=3720, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸862≹⇙⪍⫖↰⪸13B8⨓(⫖↰⪸86A≭⫖↰⪸21A0)=NaN","reverse_text":"NaN=⫖↰⪸862≹⇙⪍⫖↰⪸13B8⨓(⫖↰⪸86A≭⫖↰⪸21A0)","cot":[{"info":"⫖↰⪸862≹⇙⪍⫖↰⪸13B8=NaN","layer":1},{"info":"⫖↰⪸86A≭⫖↰⪸21A0=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
+{"id":584,"expression_no_base_symbol":"$2166$⪒$1280$+(≦∁$6041$)","expression":"⫖↰⪸1306⪒⫖↰⪸8A8+(≦∁⫖↰⪸35B5)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2166,"base":12},"right_expr":{"type":"numeric_atoms","value":1280,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":6041,"base":12}}},"used_operators":["W4YGzv6Whe","f6k1SAg4EE","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫖↰⪸1603","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2166","layer":2},{"info":"number node, value=1280","layer":2},{"info":"compute binary expreesion, left_input=2166, right_input=1280, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3446","layer":1},{"info":"number node, value=6041","layer":2},{"info":"compute unary expreesion, input=6041, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6041","layer":1},{"info":"compute binary expreesion, left_input=-3446, right_input=6041, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2595","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1306⪒⫖↰⪸8A8+(≦∁⫖↰⪸35B5)=⫖↰⪸1603","reverse_text":"⫖↰⪸1603=⫖↰⪸1306⪒⫖↰⪸8A8+(≦∁⫖↰⪸35B5)","cot":[{"info":"⫖↰⪸1306⪒⫖↰⪸8A8=⫖↰⪸-1BB2","layer":1},{"info":"≦∁⫖↰⪸35B5=⫖↰⪸35B5","layer":1},{"info":"⫖↰⪸-1BB2+⫖↰⪸35B5=⫖↰⪸1603","layer":0}]}
+{"id":585,"expression_no_base_symbol":"$1176$⇷$1832$⨐⩸⫘$2003$∑⇟⊟$2128$","expression":"⫖↰⪸820⇷⫖↰⪸1088⨐⩸⫘⫖↰⪸11AB∑⇟⊟⫖↰⪸1294","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16472,"operation_count":3,"complexity_ratio":5490.666666666667,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1176,"base":12},"right_expr":{"type":"numeric_atoms","value":1832,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2003,"base":12},"right_expr":{"type":"numeric_atoms","value":2128,"base":12}}},"used_operators":["fu6greOZ01","mp7IySMOzn","U7g4x0WXJJ"],"dependent_operators":["3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1176","layer":2},{"info":"number node, value=1832","layer":2},{"info":"compute binary expreesion, left_input=1176, right_input=1832, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3664","layer":1},{"info":"number node, value=2003","layer":2},{"info":"number node, value=2128","layer":2},{"info":"compute binary expreesion, left_input=2003, right_input=2128, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3664, 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":12,"result_base":12,"text":"⫖↰⪸820⇷⫖↰⪸1088⨐⩸⫘⫖↰⪸11AB∑⇟⊟⫖↰⪸1294=NaN","reverse_text":"NaN=⫖↰⪸820⇷⫖↰⪸1088⨐⩸⫘⫖↰⪸11AB∑⇟⊟⫖↰⪸1294","cot":[{"info":"⫖↰⪸820⇷⫖↰⪸1088=⫖↰⪸2154","layer":1},{"info":"⫖↰⪸11AB∑⇟⊟⫖↰⪸1294=NaN","layer":1},{"info":"⫖↰⪸2154⨐⩸⫘NaN=NaN","layer":0}]}
+{"id":586,"expression_no_base_symbol":"(⫓⪴$3900$)⨽$1228$⪮%⊝$2203$","expression":"(⫓⪴⫖↰⪸2310)⨽⫖↰⪸864⪮%⊝⫖↰⪸1337","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15213918,"operation_count":3,"complexity_ratio":5071306.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3900,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1228,"base":12},"right_expr":{"type":"numeric_atoms","value":2203,"base":12}}},"used_operators":["8HhzD0ZcuI","eLxqMNBOBk","IWmyXbctLI"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"-Inf","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3900","layer":2},{"info":"compute unary expreesion, input=3900, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=15210000","layer":1},{"info":"number node, value=1228","layer":2},{"info":"number node, value=2203","layer":2},{"info":"compute binary expreesion, left_input=1228, right_input=2203, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2772","layer":1},{"info":"compute binary expreesion, left_input=15210000, right_input=2772, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":0}],"base":12,"result_base":12,"text":"(⫓⪴⫖↰⪸2310)⨽⫖↰⪸864⪮%⊝⫖↰⪸1337=-Inf","reverse_text":"-Inf=(⫓⪴⫖↰⪸2310)⨽⫖↰⪸864⪮%⊝⫖↰⪸1337","cot":[{"info":"⫓⪴⫖↰⪸2310=⫖↰⪸5116100","layer":1},{"info":"⫖↰⪸864⪮%⊝⫖↰⪸1337=⫖↰⪸1730","layer":1},{"info":"⫖↰⪸5116100⨽⫖↰⪸1730=-Inf","layer":0}]}
+{"id":587,"expression_no_base_symbol":"↣≠⋷($1774$⨐⩸⫘$3839$)","expression":"↣≠⋷(⫖↰⪸103A⨐⩸⫘⫖↰⪸227B)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1774,"base":12},"right_expr":{"type":"numeric_atoms","value":3839,"base":12}}},"used_operators":["Asc51vEJeQ","fu6greOZ01"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1774","layer":2},{"info":"number node, value=3839","layer":2},{"info":"compute binary expreesion, left_input=1774, right_input=3839, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↣≠⋷(⫖↰⪸103A⨐⩸⫘⫖↰⪸227B)=NaN","reverse_text":"NaN=↣≠⋷(⫖↰⪸103A⨐⩸⫘⫖↰⪸227B)","cot":[{"info":"⫖↰⪸103A⨐⩸⫘⫖↰⪸227B=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
+{"id":588,"expression_no_base_symbol":"(⊥$2372$)+⇶⊼($1218$*$1193$)","expression":"(⊥⫖↰⪸1458)+⇶⊼(⫖↰⪸856*⫖↰⪸835)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1195,"operation_count":3,"complexity_ratio":398.3333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2372,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1218,"base":12},"right_expr":{"type":"numeric_atoms","value":1193,"base":12}}},"used_operators":["TpPTUOHfaN","Q3PJZHRvZv","9HNa5Wba9A"],"dependent_operators":["AHs5Up7iyr","fu6greOZ01","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2372","layer":2},{"info":"compute unary expreesion, input=2372, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=1218","layer":2},{"info":"number node, value=1193","layer":2},{"info":"compute binary expreesion, left_input=1218, right_input=1193, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1453074","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1453074, 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":12,"result_base":12,"text":"(⊥⫖↰⪸1458)+⇶⊼(⫖↰⪸856*⫖↰⪸835)=NaN","reverse_text":"NaN=(⊥⫖↰⪸1458)+⇶⊼(⫖↰⪸856*⫖↰⪸835)","cot":[{"info":"⊥⫖↰⪸1458=NaN","layer":1},{"info":"⫖↰⪸856*⫖↰⪸835=⫖↰⪸5A0A96","layer":1},{"info":"NaN+⇶⊼⫖↰⪸5A0A96=NaN","layer":0}]}
+{"id":589,"expression_no_base_symbol":"($4271$⩷∴$7259$)≹⇙⪍($1602$⊴$1196$)","expression":"(⫖↰⪸257B⩷∴⫖↰⪸424B)≹⇙⪍(⫖↰⪸B16⊴⫖↰⪸838)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1325,"operation_count":3,"complexity_ratio":441.6666666666667,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4271,"base":12},"right_expr":{"type":"numeric_atoms","value":7259,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1602,"base":12},"right_expr":{"type":"numeric_atoms","value":1196,"base":12}}},"used_operators":["AHs5Up7iyr","9FxExcQeMw","Nsiff2A1zJ"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4271","layer":2},{"info":"number node, value=7259","layer":2},{"info":"compute binary expreesion, left_input=4271, right_input=7259, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6008","layer":1},{"info":"number node, value=1602","layer":2},{"info":"number node, value=1196","layer":2},{"info":"compute binary expreesion, left_input=1602, right_input=1196, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6008, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸257B⩷∴⫖↰⪸424B)≹⇙⪍(⫖↰⪸B16⊴⫖↰⪸838)=NaN","reverse_text":"NaN=(⫖↰⪸257B⩷∴⫖↰⪸424B)≹⇙⪍(⫖↰⪸B16⊴⫖↰⪸838)","cot":[{"info":"⫖↰⪸257B⩷∴⫖��⪸424B=⫖↰⪸-3588","layer":1},{"info":"⫖↰⪸B16⊴⫖↰⪸838=NaN","layer":1},{"info":"⫖↰⪸-3588≹⇙⪍NaN=NaN","layer":0}]}
+{"id":590,"expression_no_base_symbol":"($6521$⨁⊸⫻)⊭∹↮","expression":"(⫖↰⪸3935⨁⊸⫻)⊭∹↮","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":6521,"base":12}}},"used_operators":["xNBdhnnwKq","glklzrTFfD"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸766A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6521","layer":2},{"info":"compute unary expreesion, input=6521, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=6521","layer":1},{"info":"compute unary expreesion, input=6521, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=13042","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3935⨁⊸⫻)⊭∹↮=⫖↰⪸766A","reverse_text":"⫖↰⪸766A=(⫖↰⪸3935⨁⊸⫻)⊭∹↮","cot":[{"info":"⫖↰⪸3935⨁⊸⫻=⫖↰⪸3935","layer":1},{"info":"⫖↰⪸3935⊭∹↮=⫖↰⪸766A","layer":0}]}
+{"id":591,"expression_no_base_symbol":"($2224$⇋≉)⪒$3732$↬$4427$","expression":"(⫖↰⪸1354⇋≉)⪒⫖↰⪸21B0↬⫖↰⪸268B","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2224,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3732,"base":12},"right_expr":{"type":"numeric_atoms","value":4427,"base":12}}},"used_operators":["f6k1SAg4EE","XIabStNQrY","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2224","layer":2},{"info":"compute unary expreesion, input=2224, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4350","layer":1},{"info":"number node, value=3732","layer":2},{"info":"number node, value=4427","layer":2},{"info":"compute binary expreesion, left_input=3732, right_input=4427, 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=4350, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1354⇋≉)⪒⫖↰⪸21B0↬⫖↰⪸268B=NaN","reverse_text":"NaN=(⫖↰⪸1354⇋≉)⪒⫖↰⪸21B0↬⫖↰⪸268B","cot":[{"info":"⫖↰⪸1354⇋≉=⫖↰⪸2626","layer":1},{"info":"⫖↰⪸21B0↬⫖↰⪸268B=NaN","layer":1},{"info":"⫖↰⪸2626⪒NaN=NaN","layer":0}]}
+{"id":592,"expression_no_base_symbol":"(⪲⇎$3221$)⩚⊴⇥($1112$*$4874$)","expression":"(⪲⇎⫖↰⪸1A45)⩚⊴⇥(⫖↰⪸788*⫖↰⪸29A2)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1117,"operation_count":3,"complexity_ratio":372.3333333333333,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3221,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1112,"base":12},"right_expr":{"type":"numeric_atoms","value":4874,"base":12}}},"used_operators":["NTOWxs364D","XPYlsWDdGa","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⫖↰⪸-1998383","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3221","layer":2},{"info":"compute unary expreesion, input=3221, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6442","layer":1},{"info":"number node, value=1112","layer":2},{"info":"number node, value=4874","layer":2},{"info":"compute binary expreesion, left_input=1112, right_input=4874, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5419888","layer":1},{"info":"compute binary expreesion, left_input=6442, right_input=5419888, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5426451","layer":0}],"base":12,"result_base":12,"text":"(⪲⇎⫖↰⪸1A45)⩚⊴⇥(⫖↰⪸788*⫖↰⪸29A2)=⫖↰⪸-1998383","reverse_text":"⫖↰⪸-1998383=(⪲⇎⫖↰⪸1A45)⩚⊴⇥(⫖↰⪸788*⫖↰⪸29A2)","cot":[{"info":"⪲⇎⫖↰⪸1A45=⫖↰⪸388A","layer":1},{"info":"⫖↰⪸788*⫖↰⪸29A2=⫖↰⪸1994614","layer":1},{"info":"⫖↰⪸388A⩚⊴⇥⫖↰⪸1994614=⫖↰⪸-1998383","layer":0}]}
+{"id":593,"expression_no_base_symbol":"$4590$⪘⫢$4119$⩚⊴⇥($5723$⨎$4491$)","expression":"⫖↰⪸27A6⪘⫢⫖↰⪸2473⩚⊴⇥(⫖↰⪸338B⨎⫖↰⪸2723)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4590,"base":12},"right_expr":{"type":"numeric_atoms","value":4119,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5723,"base":12},"right_expr":{"type":"numeric_atoms","value":4491,"base":12}}},"used_operators":["NTOWxs364D","oacrs7FA3X","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸-7AB0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4590","layer":2},{"info":"number node, value=4119","layer":2},{"info":"compute binary expreesion, left_input=4590, right_input=4119, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9056","layer":1},{"info":"number node, value=5723","layer":2},{"info":"number node, value=4491","layer":2},{"info":"compute binary expreesion, left_input=5723, right_input=4491, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4491","layer":1},{"info":"compute binary expreesion, left_input=9056, right_input=4491, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-13668","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸27A6⪘⫢⫖↰⪸2473⩚⊴⇥(⫖↰⪸338B⨎⫖↰⪸2723)=⫖↰⪸-7AB0","reverse_text":"⫖↰⪸-7AB0=⫖↰⪸27A6⪘⫢⫖↰⪸2473⩚⊴⇥(⫖↰⪸338B⨎⫖↰⪸2723)","cot":[{"info":"⫖↰⪸27A6⪘⫢⫖↰⪸2473=⫖↰⪸52A8","layer":1},{"info":"⫖↰⪸338B⨎⫖↰⪸2723=⫖↰⪸2723","layer":1},{"info":"⫖↰⪸52A8⩚⊴⇥⫖↰⪸2723=⫖↰⪸-7AB0","layer":0}]}
+{"id":594,"expression_no_base_symbol":"$1180$⋓$1012$⇋≉","expression":"⫖↰⪸824⋓⫖↰⪸704⇋≉","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1180,"base":12},"right_expr":{"type":"numeric_atoms","value":1012,"base":12}}},"used_operators":["XIabStNQrY","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫖↰⪸-82","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1180","layer":2},{"info":"number node, value=1012","layer":2},{"info":"compute binary expreesion, left_input=1180, right_input=1012, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸824⋓⫖↰⪸704⇋≉=⫖↰⪸-82","reverse_text":"⫖↰⪸-82=⫖↰⪸824⋓⫖↰⪸704⇋≉","cot":[{"info":"⫖↰⪸824⋓⫖↰⪸704=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⇋≉=⫖↰⪸-82","layer":0}]}
+{"id":595,"expression_no_base_symbol":"$7364$⪛$2081$⋫","expression":"⫖↰⪸4318⪛⫖↰⪸1255⋫","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1127,"operation_count":2,"complexity_ratio":563.5,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7364,"base":12},"right_expr":{"type":"numeric_atoms","value":2081,"base":12}}},"used_operators":["JL8yIekQnl","uFcxV4UQCh"],"dependent_operators":["tmPS8pqC7x","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫖↰⪸795","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7364","layer":2},{"info":"number node, value=2081","layer":2},{"info":"compute binary expreesion, left_input=7364, right_input=2081, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1121","layer":1},{"info":"compute unary expreesion, input=1121, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1121","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸4318⪛⫖↰⪸1255⋫=⫖↰⪸795","reverse_text":"⫖↰⪸795=⫖↰⪸4318⪛⫖↰⪸1255⋫","cot":[{"info":"⫖↰⪸4318⪛⫖↰⪸1255=⫖↰⪸795","layer":1},{"info":"⫖↰⪸795⋫=⫖↰⪸795","layer":0}]}
+{"id":596,"expression_no_base_symbol":"$2522$≧⫂∧$2077$≋⫹","expression":"⫖↰⪸1562≧⫂∧⫖↰⪸1251≋⫹","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2522,"base":12},"right_expr":{"type":"numeric_atoms","value":2077,"base":12}}},"used_operators":["N41Kp7NANJ","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-1A34","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2522","layer":2},{"info":"number node, value=2077","layer":2},{"info":"compute binary expreesion, left_input=2522, 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 unary expreesion, input=1604, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3208","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1562≧⫂∧⫖↰⪸1251≋⫹=⫖↰⪸-1A34","reverse_text":"⫖↰⪸-1A34=⫖↰⪸1562≧⫂∧⫖↰⪸1251≋⫹","cot":[{"info":"⫖↰⪸1562≧⫂∧⫖↰⪸1251=⫖↰⪸B18","layer":1},{"info":"⫖↰⪸B18≋⫹=⫖↰⪸-1A34","layer":0}]}
+{"id":597,"expression_no_base_symbol":"(⊙↵-$3718$)⪨≂$7904$⪮%⊝$1657$","expression":"(⊙↵-⫖↰⪸219A)⪨≂⫖↰⪸46A8⪮%⊝⫖↰⪸B61","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3778,"operation_count":3,"complexity_ratio":1259.3333333333333,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3718,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7904,"base":12},"right_expr":{"type":"numeric_atoms","value":1657,"base":12}}},"used_operators":["sdazOOVcIp","oWn0xqSxBt","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸-16730","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3718","layer":2},{"info":"compute unary expreesion, input=3718, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=7904","layer":2},{"info":"number node, value=1657","layer":2},{"info":"compute binary expreesion, left_input=7904, right_input=1657, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=16124","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=16124, 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=-32148","layer":0}],"base":12,"result_base":12,"text":"(⊙↵-⫖↰⪸219A)⪨≂⫖↰⪸46A8⪮%⊝⫖↰⪸B61=⫖↰⪸-16730","reverse_text":"⫖↰⪸-16730=(⊙↵-⫖↰⪸219A)⪨≂⫖↰⪸46A8⪮%⊝⫖↰⪸B61","cot":[{"info":"⊙↵-⫖↰⪸219A=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸46A8⪮%⊝⫖↰⪸B61=⫖↰⪸93B8","layer":1},{"info":"⫖↰⪸-1⪨≂⫖↰⪸93B8=⫖↰⪸-16730","layer":0}]}
+{"id":598,"expression_no_base_symbol":"$2139$⋳⪒$1550$⫥∨⫟($3057$⨐⩸⫘$1640$)","expression":"⫖↰⪸12A3⋳⪒⫖↰⪸A92⫥∨⫟(⫖↰⪸1929⨐⩸⫘⫖↰⪸B48)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":162,"operation_count":3,"complexity_ratio":54.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2139,"base":12},"right_expr":{"type":"numeric_atoms","value":1550,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3057,"base":12},"right_expr":{"type":"numeric_atoms","value":1640,"base":12}}},"used_operators":["KYD54nUTWz","12rbrZMWeM","fu6greOZ01"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2139","layer":2},{"info":"number node, value=1550","layer":2},{"info":"compute binary expreesion, left_input=2139, right_input=1550, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2441","layer":1},{"info":"number node, value=3057","layer":2},{"info":"number node, value=1640","layer":2},{"info":"compute binary expreesion, left_input=3057, right_input=1640, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2441, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸12A3⋳⪒⫖↰⪸A92⫥∨⫟(⫖↰⪸1929⨐⩸⫘⫖↰⪸B48)=NaN","reverse_text":"NaN=⫖↰⪸12A3⋳⪒⫖↰⪸A92⫥∨⫟(⫖↰⪸1929⨐⩸⫘⫖↰⪸B48)","cot":[{"info":"⫖↰⪸12A3⋳⪒⫖↰⪸A92=⫖↰⪸14B5","layer":1},{"info":"⫖↰⪸1929⨐⩸⫘⫖↰⪸B48=NaN","layer":1},{"info":"⫖↰⪸14B5⫥∨⫟NaN=NaN","layer":0}]}
+{"id":599,"expression_no_base_symbol":"($3374$⪒$4661$)⪒$1549$⫸⊐$5433$","expression":"(⫖↰⪸1B52⪒⫖↰⪸2845)⪒⫖↰⪸A91⫸⊐⫖↰⪸3189","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":3,"complexity_ratio":10.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3374,"base":12},"right_expr":{"type":"numeric_atoms","value":4661,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1549,"base":12},"right_expr":{"type":"numeric_atoms","value":5433,"base":12}}},"used_operators":["f6k1SAg4EE","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸-7A30","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3374","layer":2},{"info":"number node, value=4661","layer":2},{"info":"compute binary expreesion, left_input=3374, right_input=4661, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8035","layer":1},{"info":"number node, value=1549","layer":2},{"info":"number node, value=5433","layer":2},{"info":"compute binary expreesion, left_input=1549, right_input=5433, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=21607","layer":1},{"info":"compute binary expreesion, left_input=-8035, right_input=21607, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-13572","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1B52⪒⫖↰⪸2845)⪒⫖↰⪸A91⫸⊐⫖↰⪸3189=⫖↰⪸-7A30","reverse_text":"⫖↰⪸-7A30=(⫖↰⪸1B52⪒⫖↰⪸2845)⪒⫖↰⪸A91⫸⊐⫖↰⪸3189","cot":[{"info":"⫖↰⪸1B52⪒⫖↰⪸2845=⫖↰⪸-4797","layer":1},{"info":"⫖↰⪸A91⫸⊐⫖↰⪸3189=⫖↰⪸10607","layer":1},{"info":"⫖↰⪸-4797⪒⫖↰⪸10607=⫖↰⪸-7A30","layer":0}]}
+{"id":600,"expression_no_base_symbol":"↯⪼($5693$+⇶⊼$3400$)","expression":"↯⪼(⫖↰⪸3365+⇶⊼⫖↰⪸1B74)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":32,"operation_count":2,"complexity_ratio":16.0,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5693,"base":12},"right_expr":{"type":"numeric_atoms","value":3400,"base":12}}},"used_operators":["8jW3W4yZS5","TpPTUOHfaN"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5693","layer":2},{"info":"number node, value=3400","layer":2},{"info":"compute binary expreesion, left_input=5693, right_input=3400, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":12,"result_base":12,"text":"↯⪼(⫖↰⪸3365+⇶⊼⫖↰⪸1B74)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=↯⪼(⫖↰⪸3365+⇶⊼⫖↰⪸1B74)","cot":[{"info":"⫖↰⪸3365+⇶⊼⫖↰⪸1B74=NaN","layer":1},{"info":"↯⪼NaN=⫖↰⪸-19","layer":0}]}
+{"id":601,"expression_no_base_symbol":"($2995$%$4306$)⫸⊐$1539$⋥≓≎$3343$","expression":"(⫖↰⪸1897%⫖↰⪸25AA)⫸⊐⫖↰⪸A83⋥≓≎⫖↰⪸1B27","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2995,"base":12},"right_expr":{"type":"numeric_atoms","value":4306,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1539,"base":12},"right_expr":{"type":"numeric_atoms","value":3343,"base":12}}},"used_operators":["mqXw5SEYmG","k8jYdgA6NY","Qy55tPpLXF"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸BB03","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2995","layer":2},{"info":"number node, value=4306","layer":2},{"info":"compute binary expreesion, left_input=2995, right_input=4306, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2995","layer":1},{"info":"number node, value=1539","layer":2},{"info":"number node, value=3343","layer":2},{"info":"compute binary expreesion, left_input=1539, right_input=3343, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5180","layer":1},{"info":"compute binary expreesion, left_input=2995, right_input=5180, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=20595","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1897%⫖↰⪸25AA)⫸⊐⫖↰⪸A83⋥≓≎⫖↰⪸1B27=⫖↰⪸BB03","reverse_text":"⫖↰⪸BB03=(⫖↰⪸1897%⫖↰⪸25AA)⫸⊐⫖↰⪸A83⋥≓≎⫖↰⪸1B27","cot":[{"info":"⫖↰⪸1897%⫖↰⪸25AA=⫖↰⪸1897","layer":1},{"info":"⫖↰⪸A83⋥≓≎⫖↰⪸1B27=⫖↰⪸2BB8","layer":1},{"info":"⫖↰⪸1897⫸⊐⫖↰⪸2BB8=⫖↰⪸BB03","layer":0}]}
+{"id":602,"expression_no_base_symbol":"($7278$⨐⩸⫘$1688$)⫥∨⫟(⨰⫟⨤$4138$)","expression":"(⫖↰⪸4266⨐⩸⫘⫖↰⪸B88)⫥∨⫟(⨰⫟⨤⫖↰⪸248A)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15867,"operation_count":3,"complexity_ratio":5289.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7278,"base":12},"right_expr":{"type":"numeric_atoms","value":1688,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4138,"base":12}}},"used_operators":["KYD54nUTWz","fu6greOZ01","Tw270M8GLb"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7278","layer":2},{"info":"number node, value=1688","layer":2},{"info":"compute binary expreesion, left_input=7278, right_input=1688, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4138","layer":2},{"info":"compute unary expreesion, input=4138, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸4266⨐⩸⫘⫖↰⪸B88)⫥∨⫟(⨰⫟⨤⫖↰⪸248A)=NaN","reverse_text":"NaN=(⫖↰⪸4266⨐⩸⫘⫖↰⪸B88)⫥∨⫟(⨰⫟⨤⫖↰⪸248A)","cot":[{"info":"⫖↰⪸4266⨐⩸⫘⫖↰⪸B88=NaN","layer":1},{"info":"⨰⫟⨤⫖↰⪸248A=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
+{"id":603,"expression_no_base_symbol":"($3153$∲⫓$1595$)≧⫂∧($6055$∲⫓$7691$)","expression":"(⫖↰⪸19A9∲⫓⫖↰⪸B0B)≧⫂∧(⫖↰⪸3607∲⫓⫖↰⪸454B)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3153,"base":12},"right_expr":{"type":"numeric_atoms","value":1595,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6055,"base":12},"right_expr":{"type":"numeric_atoms","value":7691,"base":12}}},"used_operators":["Ph9nP6C5qx","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-335","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3153","layer":2},{"info":"number node, value=1595","layer":2},{"info":"compute binary expreesion, left_input=3153, right_input=1595, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=6055","layer":2},{"info":"number node, value=7691","layer":2},{"info":"compute binary expreesion, left_input=6055, right_input=7691, 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=0, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸19A9∲⫓⫖↰⪸B0B)≧⫂∧(⫖↰⪸3607∲⫓⫖↰⪸454B)=⫖↰⪸-335","reverse_text":"⫖↰⪸-335=(⫖↰⪸19A9∲⫓⫖↰⪸B0B)≧⫂∧(⫖↰⪸3607∲⫓⫖↰⪸454B)","cot":[{"info":"⫖↰⪸19A9∲⫓⫖↰⪸B0B=⫖↰⪸0","layer":1},{"info":"⫖↰⪸3607∲⫓⫖↰⪸454B=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0≧⫂∧⫖↰⪸0=⫖↰⪸-335","layer":0}]}
+{"id":604,"expression_no_base_symbol":"$1029$⨟⋌⩍$2984$⫥∨⫟($2430$⨐⩸⫘$3148$)","expression":"⫖↰⪸719⨟⋌⩍⫖↰⪸1888⫥∨⫟(⫖↰⪸14A6⨐⩸⫘⫖↰⪸19A4)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":156,"operation_count":3,"complexity_ratio":52.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1029,"base":12},"right_expr":{"type":"numeric_atoms","value":2984,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2430,"base":12},"right_expr":{"type":"numeric_atoms","value":3148,"base":12}}},"used_operators":["KYD54nUTWz","rGHVDoGpnC","fu6greOZ01"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1029","layer":2},{"info":"number node, value=2984","layer":2},{"info":"compute binary expreesion, left_input=1029, right_input=2984, 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=2430","layer":2},{"info":"number node, value=3148","layer":2},{"info":"compute binary expreesion, left_input=2430, right_input=3148, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸719⨟⋌⩍⫖↰⪸1888⫥∨⫟(⫖↰⪸14A6⨐⩸⫘⫖↰⪸19A4)=NaN","reverse_text":"NaN=⫖↰⪸719⨟⋌⩍⫖↰⪸1888⫥∨⫟(⫖↰⪸14A6⨐⩸⫘⫖↰⪸19A4)","cot":[{"info":"⫖↰⪸719⨟⋌⩍⫖↰⪸1888=NaN","layer":1},{"info":"⫖↰⪸14A6⨐⩸⫘⫖↰⪸19A4=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
+{"id":605,"expression_no_base_symbol":"$3555$⨎$7640$⨳⩥⨓$5454$⪘⫢$2621$","expression":"⫖↰⪸2083⨎⫖↰⪸4508⨳⩥⨓⫖↰⪸31A6⪘⫢⫖↰⪸1625","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3555,"base":12},"right_expr":{"type":"numeric_atoms","value":7640,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5454,"base":12},"right_expr":{"type":"numeric_atoms","value":2621,"base":12}}},"used_operators":["nCS4ZIUYfx","rJVOvQCfKK","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫖↰⪸19A0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3555","layer":2},{"info":"number node, value=7640","layer":2},{"info":"compute binary expreesion, left_input=3555, right_input=7640, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7640","layer":1},{"info":"number node, value=5454","layer":2},{"info":"number node, value=2621","layer":2},{"info":"compute binary expreesion, left_input=5454, right_input=2621, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10784","layer":1},{"info":"compute binary expreesion, left_input=7640, right_input=10784, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3144","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2083⨎⫖↰⪸4508⨳⩥⨓⫖↰⪸31A6⪘⫢⫖↰⪸1625=⫖↰⪸19A0","reverse_text":"��↰⪸19A0=⫖↰⪸2083⨎⫖↰⪸4508⨳⩥⨓⫖↰⪸31A6⪘⫢⫖↰⪸1625","cot":[{"info":"⫖↰⪸2083⨎⫖↰⪸4508=⫖↰⪸4508","layer":1},{"info":"⫖↰⪸31A6⪘⫢⫖↰⪸1625=⫖↰⪸62A8","layer":1},{"info":"⫖↰⪸4508⨳⩥⨓⫖↰⪸62A8=⫖↰⪸19A0","layer":0}]}
+{"id":606,"expression_no_base_symbol":"⫛⫱⨽($1622$↺$3037$)","expression":"⫛⫱⨽(⫖↰⪸B32↺⫖↰⪸1911)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1424,"operation_count":2,"complexity_ratio":712.0,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1622,"base":12},"right_expr":{"type":"numeric_atoms","value":3037,"base":12}}},"used_operators":["DlLNRPXxWL","7j4O788W3g"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1622","layer":2},{"info":"number node, value=3037","layer":2},{"info":"compute binary expreesion, left_input=1622, right_input=3037, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3037","layer":1},{"info":"compute unary expreesion, input=3037, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫛⫱⨽(⫖↰⪸B32↺⫖↰⪸1911)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫛⫱⨽(⫖↰⪸B32↺⫖↰⪸1911)","cot":[{"info":"⫖↰⪸B32↺⫖↰⪸1911=⫖↰⪸1911","layer":1},{"info":"⫛⫱⨽⫖↰⪸1911=⫖↰⪸0","layer":0}]}
+{"id":607,"expression_no_base_symbol":"($5902$⪒$1893$)⪄(⊄⩳↩$1291$)","expression":"(⫖↰⪸34BA⪒⫖↰⪸1119)⪄(⊄⩳↩⫖↰⪸8B7)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":98,"operation_count":3,"complexity_ratio":32.666666666666664,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5902,"base":12},"right_expr":{"type":"numeric_atoms","value":1893,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1291,"base":12}}},"used_operators":["SUmda5xLS4","f6k1SAg4EE","8w2t5hMYqp"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5902","layer":2},{"info":"number node, value=1893","layer":2},{"info":"compute binary expreesion, left_input=5902, right_input=1893, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7795","layer":1},{"info":"number node, value=1291","layer":2},{"info":"compute unary expreesion, input=1291, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3873","layer":1},{"info":"compute binary expreesion, left_input=-7795, right_input=-3873, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸34BA⪒⫖↰⪸1119)⪄(⊄⩳↩⫖↰⪸8B7)=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=(⫖↰⪸34BA⪒⫖↰⪸1119)⪄(⊄⩳↩⫖↰⪸8B7)","cot":[{"info":"⫖↰⪸34BA⪒⫖↰⪸1119=⫖↰⪸-4617","layer":1},{"info":"⊄⩳↩⫖↰⪸8B7=⫖↰⪸-22A9","layer":1},{"info":"⫖↰⪸-4617⪄⫖↰⪸-22A9=⫖↰⪸2377","layer":0}]}
+{"id":608,"expression_no_base_symbol":"$7117$⪘⫢$3245$⨽($1044$⩨$2919$)","expression":"⫖↰⪸4151⪘⫢⫖↰⪸1A65⨽(⫖↰⪸730⩨⫖↰⪸1833)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14139,"operation_count":3,"complexity_ratio":4713.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":7117,"base":12},"right_expr":{"type":"numeric_atoms","value":3245,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1044,"base":12},"right_expr":{"type":"numeric_atoms","value":2919,"base":12}}},"used_operators":["8HhzD0ZcuI","oacrs7FA3X","2DlMacCsIx"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸-1480392A0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7117","layer":2},{"info":"number node, value=3245","layer":2},{"info":"compute binary expreesion, left_input=7117, right_input=3245, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=14110","layer":1},{"info":"number node, value=1044","layer":2},{"info":"number node, value=2919","layer":2},{"info":"compute binary expreesion, left_input=1044, right_input=2919, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":1},{"info":"compute binary expreesion, left_input=14110, right_input=-6, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-597274968","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸4151⪘⫢⫖↰⪸1A65⨽(⫖↰⪸730⩨⫖↰⪸1833)=⫖↰⪸-1480392A0","reverse_text":"⫖↰⪸-1480392A0=⫖↰⪸4151⪘⫢⫖↰⪸1A65⨽(⫖↰⪸730⩨⫖↰⪸1833)","cot":[{"info":"⫖↰⪸4151⪘⫢⫖↰⪸1A65=⫖↰⪸81BA","layer":1},{"info":"⫖↰⪸730⩨⫖↰⪸1833=⫖↰⪸-6","layer":1},{"info":"⫖↰⪸81BA⨽⫖↰⪸-6=⫖↰⪸-1480392A0","layer":0}]}
+{"id":609,"expression_no_base_symbol":"$1367$⨟⋌⩍$7454$-$1059$⋓$2188$","expression":"⫖↰⪸95B⨟⋌⩍⫖↰⪸4392-⫖↰⪸743⋓⫖↰⪸1324","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1367,"base":12},"right_expr":{"type":"numeric_atoms","value":7454,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1059,"base":12},"right_expr":{"type":"numeric_atoms","value":2188,"base":12}}},"used_operators":["rysDP5nf3Z","rGHVDoGpnC","T2fj7uvVaJ"],"dependent_operators":["Tcnh7f0tEr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1367","layer":2},{"info":"number node, value=7454","layer":2},{"info":"compute binary expreesion, left_input=1367, right_input=7454, 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=1059","layer":2},{"info":"number node, value=2188","layer":2},{"info":"compute binary expreesion, left_input=1059, right_input=2188, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸95B⨟⋌⩍⫖↰⪸4392-⫖↰⪸743⋓⫖↰⪸1324=NaN","reverse_text":"NaN=⫖↰⪸95B⨟⋌⩍⫖↰⪸4392-⫖↰⪸743⋓⫖↰⪸1324","cot":[{"info":"⫖↰⪸95B⨟⋌⩍⫖↰⪸4392=NaN","layer":1},{"info":"⫖↰⪸743⋓⫖↰⪸1324=⫖↰⪸0","layer":1},{"info":"NaN-⫖↰⪸0=NaN","layer":0}]}
+{"id":610,"expression_no_base_symbol":"($1894$⪒$7185$)≹⇙⪍($6452$⨵⪆$1316$)","expression":"(⫖↰⪸111A⪒⫖↰⪸41A9)≹⇙⪍(⫖↰⪸3898⨵⪆⫖↰⪸918)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38676,"operation_count":3,"complexity_ratio":12892.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1894,"base":12},"right_expr":{"type":"numeric_atoms","value":7185,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6452,"base":12},"right_expr":{"type":"numeric_atoms","value":1316,"base":12}}},"used_operators":["AHs5Up7iyr","f6k1SAg4EE","2DQ55sFlQl"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1894","layer":2},{"info":"number node, value=7185","layer":2},{"info":"compute binary expreesion, left_input=1894, right_input=7185, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9079","layer":1},{"info":"number node, value=6452","layer":2},{"info":"number node, value=1316","layer":2},{"info":"compute binary expreesion, left_input=6452, right_input=1316, 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=-9079, right_input=160, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸111A⪒⫖↰⪸41A9)≹⇙⪍(⫖↰⪸3898⨵⪆⫖↰⪸918)=NaN","reverse_text":"NaN=(⫖↰⪸111A⪒⫖↰⪸41A9)≹⇙⪍(⫖↰⪸3898⨵⪆⫖↰⪸918)","cot":[{"info":"⫖↰⪸111A⪒⫖↰⪸41A9=⫖↰⪸-5307","layer":1},{"info":"⫖↰⪸3898⨵⪆⫖↰⪸918=⫖↰⪸114","layer":1},{"info":"⫖↰⪸-5307≹⇙⪍⫖↰⪸114=NaN","layer":0}]}
+{"id":611,"expression_no_base_symbol":"$4516$⪘⫢$7025$⋳⪒($1217$⫩⊇)","expression":"⫖↰⪸2744⪘⫢⫖↰⪸4095⋳⪒(⫖↰⪸855⫩⊇)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24,"operation_count":3,"complexity_ratio":8.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4516,"base":12},"right_expr":{"type":"numeric_atoms","value":7025,"base":12}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1217,"base":12}}},"used_operators":["12rbrZMWeM","oacrs7FA3X","BjRHVeLaeN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸A9A8","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4516","layer":2},{"info":"number node, value=7025","layer":2},{"info":"compute binary expreesion, left_input=4516, right_input=7025, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8908","layer":1},{"info":"number node, value=1217","layer":2},{"info":"compute unary expreesion, input=1217, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1175","layer":1},{"info":"compute binary expreesion, left_input=8908, right_input=-1175, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=18704","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2744⪘⫢⫖↰⪸4095⋳⪒(⫖↰⪸855⫩⊇)=⫖↰⪸A9A8","reverse_text":"⫖↰⪸A9A8=⫖↰⪸2744⪘⫢⫖↰⪸4095⋳⪒(⫖↰⪸855⫩⊇)","cot":[{"info":"⫖↰⪸2744⪘⫢⫖↰⪸4095=⫖↰⪸51A4","layer":1},{"info":"⫖↰⪸855⫩⊇=⫖↰⪸-81B","layer":1},{"info":"⫖↰⪸51A4⋳⪒⫖↰⪸-81B=⫖↰⪸A9A8","layer":0}]}
+{"id":612,"expression_no_base_symbol":"($4842$↬$1847$)↬$1745$⪘⫢$5172$","expression":"(⫖↰⪸2976↬⫖↰⪸109B)↬⫖↰⪸1015⪘⫢⫖↰⪸2BB0","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":17,"operation_count":3,"complexity_ratio":5.666666666666667,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4842,"base":12},"right_expr":{"type":"numeric_atoms","value":1847,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1745,"base":12},"right_expr":{"type":"numeric_atoms","value":5172,"base":12}}},"used_operators":["B5M0gjZbta","oacrs7FA3X"],"dependent_operators":["rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4842","layer":2},{"info":"number node, value=1847","layer":2},{"info":"compute binary expreesion, left_input=4842, right_input=1847, 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=1745","layer":2},{"info":"number node, value=5172","layer":2},{"info":"compute binary expreesion, left_input=1745, right_input=5172, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3366","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3366, 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":12,"result_base":12,"text":"(⫖↰⪸2976↬⫖↰⪸109B)↬⫖↰⪸1015⪘⫢⫖↰⪸2BB0=NaN","reverse_text":"NaN=(⫖↰⪸2976↬⫖↰⪸109B)↬⫖↰⪸1015⪘⫢⫖↰⪸2BB0","cot":[{"info":"⫖↰⪸2976↬⫖↰⪸109B=NaN","layer":1},{"info":"⫖↰⪸1015⪘⫢⫖↰⪸2BB0=⫖↰⪸1B46","layer":1},{"info":"NaN↬⫖↰⪸1B46=NaN","layer":0}]}
+{"id":613,"expression_no_base_symbol":"($1735$⋥≓≎$1468$)⪛($1303$/$4474$)","expression":"(⫖↰⪸1007⋥≓≎⫖↰⪸A24)⪛(⫖↰⪸907/⫖↰⪸270A)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1735,"base":12},"right_expr":{"type":"numeric_atoms","value":1468,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1303,"base":12},"right_expr":{"type":"numeric_atoms","value":4474,"base":12}}},"used_operators":["uFcxV4UQCh","Qy55tPpLXF","XhwjNDsVaA"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1735","layer":2},{"info":"number node, value=1468","layer":2},{"info":"compute binary expreesion, left_input=1735, right_input=1468, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1234","layer":1},{"info":"number node, value=1303","layer":2},{"info":"number node, value=4474","layer":2},{"info":"compute binary expreesion, left_input=1303, right_input=4474, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1007⋥≓≎⫖↰⪸A24)⪛(⫖↰⪸907/⫖↰⪸270A)=NaN","reverse_text":"NaN=(⫖↰⪸1007⋥≓≎⫖↰⪸A24)⪛(⫖↰⪸907/⫖↰⪸270A)","cot":[{"info":"⫖↰⪸1007⋥≓≎⫖↰⪸A24=⫖↰⪸86A","layer":1},{"info":"⫖↰⪸907/⫖↰⪸270A=⫖↰⪸0","layer":1},{"info":"⫖↰⪸86A⪛⫖↰⪸0=NaN","layer":0}]}
+{"id":614,"expression_no_base_symbol":"(≤/$3545$)∲⫓($1756$⪨≂$6442$)","expression":"(≤/⫖↰⪸2075)∲⫓(⫖↰⪸1024⪨≂⫖↰⪸388A)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3545,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1756,"base":12},"right_expr":{"type":"numeric_atoms","value":6442,"base":12}}},"used_operators":["i8ToyICDmI","eLAdDNolq6","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-1931","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3545","layer":2},{"info":"compute unary expreesion, input=3545, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3061","layer":1},{"info":"number node, value=1756","layer":2},{"info":"number node, value=6442","layer":2},{"info":"compute binary expreesion, left_input=1756, right_input=6442, 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=-9270","layer":1},{"info":"compute binary expreesion, left_input=-3061, right_input=-9270, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-3061","layer":0}],"base":12,"result_base":12,"text":"(≤/⫖↰⪸2075)∲⫓(⫖↰⪸1024⪨≂⫖↰⪸388A)=⫖↰⪸-1931","reverse_text":"⫖↰⪸-1931=(≤/⫖↰⪸2075)∲⫓(⫖↰⪸1024⪨≂⫖↰⪸388A)","cot":[{"info":"≤/⫖↰⪸2075=⫖↰⪸-1931","layer":1},{"info":"⫖↰⪸1024⪨≂⫖↰⪸388A=⫖↰⪸-5446","layer":1},{"info":"⫖↰⪸-1931∲⫓⫖↰⪸-5446=⫖↰⪸-1931","layer":0}]}
+{"id":615,"expression_no_base_symbol":"$1352$⋥≓≎$2034$⪄($2430$⩨$5687$)","expression":"⫖↰⪸948⋥≓≎⫖↰⪸1216⪄(⫖↰⪸14A6⩨⫖↰⪸335B)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":104,"operation_count":3,"complexity_ratio":34.666666666666664,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1352,"base":12},"right_expr":{"type":"numeric_atoms","value":2034,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2430,"base":12},"right_expr":{"type":"numeric_atoms","value":5687,"base":12}}},"used_operators":["SUmda5xLS4","Qy55tPpLXF","2DlMacCsIx"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸-175205","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1352","layer":2},{"info":"number node, value=2034","layer":2},{"info":"compute binary expreesion, left_input=1352, right_input=2034, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2749","layer":1},{"info":"number node, value=2430","layer":2},{"info":"number node, value=5687","layer":2},{"info":"compute binary expreesion, left_input=2430, right_input=5687, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":1},{"info":"compute binary expreesion, left_input=2749, right_input=-6, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-402917","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸948⋥≓≎⫖↰⪸1216⪄(⫖↰⪸14A6⩨⫖↰⪸335B)=⫖↰⪸-175205","reverse_text":"⫖↰⪸-175205=⫖↰⪸948⋥≓≎⫖↰⪸1216⪄(⫖↰⪸14A6⩨⫖↰⪸335B)","cot":[{"info":"⫖↰⪸948⋥≓≎⫖↰⪸1216=⫖↰⪸1711","layer":1},{"info":"⫖↰⪸14A6⩨⫖↰⪸335B=⫖↰⪸-6","layer":1},{"info":"⫖↰⪸1711⪄⫖↰⪸-6=⫖↰⪸-175205","layer":0}]}
+{"id":616,"expression_no_base_symbol":"$1695$∲⫓$2289$⪨≂$5353$⪄$1166$","expression":"⫖↰⪸B93∲⫓⫖↰⪸13A9⪨≂⫖↰⪸3121⪄⫖↰⪸812","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":102,"operation_count":3,"complexity_ratio":34.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1695,"base":12},"right_expr":{"type":"numeric_atoms","value":2289,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5353,"base":12},"right_expr":{"type":"numeric_atoms","value":1166,"base":12}}},"used_operators":["sdazOOVcIp","i8ToyICDmI","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫖↰⪸645A68","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1695","layer":2},{"info":"number node, value=2289","layer":2},{"info":"compute binary expreesion, left_input=1695, right_input=2289, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=5353","layer":2},{"info":"number node, value=1166","layer":2},{"info":"compute binary expreesion, left_input=5353, right_input=1166, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-792997","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-792997, 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=1586096","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸B93∲⫓⫖↰⪸13A9⪨≂⫖↰⪸3121⪄⫖↰⪸812=⫖↰⪸645A68","reverse_text":"⫖↰⪸645A68=⫖↰⪸B93∲⫓⫖↰⪸13A9⪨≂⫖↰⪸3121⪄⫖↰⪸812","cot":[{"info":"⫖↰⪸B93∲⫓⫖↰⪸13A9=⫖↰⪸0","layer":1},{"info":"⫖↰⪸3121⪄⫖↰⪸812=⫖↰⪸-322AB1","layer":1},{"info":"⫖↰⪸0⪨≂⫖↰⪸-322AB1=⫖↰⪸645A68","layer":0}]}
+{"id":617,"expression_no_base_symbol":"($2217$⊭↱$4354$)⋳⪒(↯⪼$5665$)","expression":"(⫖↰⪸1349⊭↱⫖↰⪸262A)⋳⪒(↯⪼⫖↰⪸3341)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44,"operation_count":3,"complexity_ratio":14.666666666666666,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2217,"base":12},"right_expr":{"type":"numeric_atoms","value":4354,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5665,"base":12}}},"used_operators":["12rbrZMWeM","COABgblf1C","8jW3W4yZS5"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⫖↰⪸4970","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2217","layer":2},{"info":"number node, value=4354","layer":2},{"info":"compute binary expreesion, left_input=2217, right_input=4354, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4279","layer":1},{"info":"number node, value=5665","layer":2},{"info":"compute unary expreesion, input=5665, 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=4279, right_input=-21, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8292","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1349⊭↱⫖↰⪸262A)⋳⪒(↯⪼⫖↰⪸3341)=⫖↰⪸4970","reverse_text":"⫖↰⪸4970=(⫖↰⪸1349⊭↱⫖↰⪸262A)⋳⪒(↯⪼⫖↰⪸3341)","cot":[{"info":"⫖↰⪸1349⊭↱⫖↰⪸262A=⫖↰⪸2587","layer":1},{"info":"↯⪼⫖↰⪸3341=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸2587⋳⪒⫖↰⪸-19=⫖↰⪸4970","layer":0}]}
+{"id":618,"expression_no_base_symbol":"($3371$⨰$6636$)⪛(⊙↵-$3451$)","expression":"(⫖↰⪸1B4B⨰⫖↰⪸3A10)⪛(⊙↵-⫖↰⪸1BB7)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6761,"operation_count":3,"complexity_ratio":2253.6666666666665,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3371,"base":12},"right_expr":{"type":"numeric_atoms","value":6636,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3451,"base":12}}},"used_operators":["uFcxV4UQCh","eewbuw0ToL","oWn0xqSxBt"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3371","layer":2},{"info":"number node, value=6636","layer":2},{"info":"compute binary expreesion, left_input=3371, right_input=6636, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3255","layer":1},{"info":"number node, value=3451","layer":2},{"info":"compute unary expreesion, input=3451, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=-3255, right_input=-1, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1B4B⨰⫖↰⪸3A10)⪛(⊙↵-⫖↰⪸1BB7)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸1B4B⨰⫖↰⪸3A10)⪛(⊙↵-⫖↰⪸1BB7)","cot":[{"info":"⫖↰⪸1B4B⨰⫖↰⪸3A10=⫖↰⪸-1A73","layer":1},{"info":"⊙↵-⫖↰⪸1BB7=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸-1A73⪛⫖↰⪸-1=⫖↰⪸0","layer":0}]}
+{"id":619,"expression_no_base_symbol":"$2677$≭$1685$⋥≓≎($1792$⫸⊐$1970$)","expression":"⫖↰⪸1671≭⫖↰⪸B85⋥≓≎(⫖↰⪸1054⫸⊐⫖↰⪸1182)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2677,"base":12},"right_expr":{"type":"numeric_atoms","value":1685,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1792,"base":12},"right_expr":{"type":"numeric_atoms","value":1970,"base":12}}},"used_operators":["Qy55tPpLXF","rxpJgHHUmx","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2677","layer":2},{"info":"number node, value=1685","layer":2},{"info":"compute binary expreesion, left_input=2677, right_input=1685, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1792","layer":2},{"info":"number node, value=1970","layer":2},{"info":"compute binary expreesion, left_input=1792, right_input=1970, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7755","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7755, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1671≭⫖↰⪸B85⋥≓≎(⫖↰⪸1054⫸⊐⫖↰⪸1182)=⫖↰⪸57","reverse_text":"⫖↰⪸57=⫖↰⪸1671≭⫖↰⪸B85⋥≓≎(⫖↰⪸1054⫸⊐⫖↰⪸1182)","cot":[{"info":"⫖↰⪸1671≭⫖↰⪸B85=NaN","layer":1},{"info":"⫖↰⪸1054⫸⊐⫖↰⪸1182=⫖↰⪸45A3","layer":1},{"info":"NaN⋥≓≎⫖↰⪸45A3=⫖↰⪸57","layer":0}]}
+{"id":620,"expression_no_base_symbol":"($4618$-$1862$)∑⇟⊟($1517$⨐⩸⫘$3873$)","expression":"(⫖↰⪸280A-⫖↰⪸10B2)∑⇟⊟(⫖↰⪸A65⨐⩸⫘⫖↰⪸22A9)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4618,"base":12},"right_expr":{"type":"numeric_atoms","value":1862,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1517,"base":12},"right_expr":{"type":"numeric_atoms","value":3873,"base":12}}},"used_operators":["U7g4x0WXJJ","rysDP5nf3Z","fu6greOZ01"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4618","layer":2},{"info":"number node, value=1862","layer":2},{"info":"compute binary expreesion, left_input=4618, right_input=1862, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2756","layer":1},{"info":"number node, value=1517","layer":2},{"info":"number node, value=3873","layer":2},{"info":"compute binary expreesion, left_input=1517, right_input=3873, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2756, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸280A-⫖↰⪸10B2)∑⇟⊟(⫖↰⪸A65⨐⩸⫘⫖↰⪸22A9)=NaN","reverse_text":"NaN=(⫖↰⪸280A-⫖↰⪸10B2)∑⇟⊟(⫖↰⪸A65⨐⩸⫘⫖↰⪸22A9)","cot":[{"info":"⫖↰⪸280A-⫖↰⪸10B2=⫖↰⪸1718","layer":1},{"info":"⫖↰⪸A65⨐⩸⫘⫖↰⪸22A9=NaN","layer":1},{"info":"⫖↰⪸1718∑⇟⊟NaN=NaN","layer":0}]}
+{"id":621,"expression_no_base_symbol":"($5942$+⇶⊼$4230$)⇷(∥⊫$5711$)","expression":"(⫖↰⪸3532+⇶⊼⫖↰⪸2546)⇷(∥⊫⫖↰⪸337B)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5942,"base":12},"right_expr":{"type":"numeric_atoms","value":4230,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5711,"base":12}}},"used_operators":["mp7IySMOzn","TpPTUOHfaN","P8v4zCKN1o"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸7746","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5942","layer":2},{"info":"number node, value=4230","layer":2},{"info":"compute binary expreesion, left_input=5942, right_input=4230, 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=5711","layer":2},{"info":"compute unary expreesion, input=5711, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6579","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6579, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13158","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3532+⇶⊼⫖↰⪸2546)⇷(∥⊫⫖↰⪸337B)=⫖↰⪸7746","reverse_text":"⫖↰⪸7746=(⫖↰⪸3532+⇶⊼⫖↰⪸2546)⇷(∥⊫⫖↰⪸337B)","cot":[{"info":"⫖↰⪸3532+⇶⊼⫖↰⪸2546=NaN","layer":1},{"info":"∥⊫⫖↰⪸337B=⫖↰⪸3983","layer":1},{"info":"NaN⇷⫖↰⪸3983=⫖↰⪸7746","layer":0}]}
+{"id":622,"expression_no_base_symbol":"($1539$⩷∴$3529$)∀⇚≩($2349$⋷$1874$)","expression":"(⫖↰⪸A83⩷∴⫖↰⪸2061)∀⇚≩(⫖↰⪸1439⋷⫖↰⪸1102)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28093,"operation_count":3,"complexity_ratio":9364.333333333334,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1539,"base":12},"right_expr":{"type":"numeric_atoms","value":3529,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2349,"base":12},"right_expr":{"type":"numeric_atoms","value":1874,"base":12}}},"used_operators":["LRNGc0VcxI","9FxExcQeMw","23Mk6UjR3U"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1539","layer":2},{"info":"number node, value=3529","layer":2},{"info":"compute binary expreesion, left_input=1539, right_input=3529, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4012","layer":1},{"info":"number node, value=2349","layer":2},{"info":"number node, value=1874","layer":2},{"info":"compute binary expreesion, left_input=2349, right_input=1874, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1399","layer":1},{"info":"compute binary expreesion, left_input=-4012, right_input=1399, 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":12,"result_base":12,"text":"(⫖���⪸A83⩷∴⫖↰⪸2061)∀⇚≩(⫖↰⪸1439⋷⫖↰⪸1102)=NaN","reverse_text":"NaN=(⫖↰⪸A83⩷∴⫖↰⪸2061)∀⇚≩(⫖↰⪸1439⋷⫖↰⪸1102)","cot":[{"info":"⫖↰⪸A83⩷∴⫖↰⪸2061=⫖↰⪸-23A4","layer":1},{"info":"⫖↰⪸1439⋷⫖↰⪸1102=⫖↰⪸987","layer":1},{"info":"⫖↰⪸-23A4∀⇚≩⫖↰⪸987=NaN","layer":0}]}
+{"id":623,"expression_no_base_symbol":"$3954$⨰$1003$-($4237$↪⪝)","expression":"⫖↰⪸2356⨰⫖↰⪸6B7-(⫖↰⪸2551↪⪝)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":707,"operation_count":3,"complexity_ratio":235.66666666666666,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3954,"base":12},"right_expr":{"type":"numeric_atoms","value":1003,"base":12}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4237,"base":12}}},"used_operators":["rysDP5nf3Z","eewbuw0ToL","l07mrZUIn9"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"⫖↰⪸-72992699","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3954","layer":2},{"info":"number node, value=1003","layer":2},{"info":"compute binary expreesion, left_input=3954, right_input=1003, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2961","layer":1},{"info":"number node, value=4237","layer":2},{"info":"compute unary expreesion, input=4237, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=259228134","layer":1},{"info":"compute binary expreesion, left_input=2961, right_input=259228134, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-259225173","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2356⨰⫖↰⪸6B7-(⫖↰⪸2551↪⪝)=⫖↰⪸-72992699","reverse_text":"⫖↰⪸-72992699=⫖↰⪸2356⨰⫖↰⪸6B7-(⫖↰⪸2551↪⪝)","cot":[{"info":"⫖↰⪸2356⨰⫖↰⪸6B7=⫖↰⪸1869","layer":1},{"info":"⫖↰⪸2551↪⪝=⫖↰⪸72994346","layer":1},{"info":"⫖↰⪸1869-⫖↰⪸72994346=⫖↰⪸-72992699","layer":0}]}
+{"id":624,"expression_no_base_symbol":"($2826$+$1468$)⨐⩸⫘($3540$⨵⪆$4335$)","expression":"(⫖↰⪸1776+⫖↰⪸A24)⨐⩸⫘(⫖↰⪸2070⨵⪆⫖↰⪸2613)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26562,"operation_count":3,"complexity_ratio":8854.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2826,"base":12},"right_expr":{"type":"numeric_atoms","value":1468,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3540,"base":12},"right_expr":{"type":"numeric_atoms","value":4335,"base":12}}},"used_operators":["fu6greOZ01","W4YGzv6Whe","2DQ55sFlQl"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-117","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2826","layer":2},{"info":"number node, value=1468","layer":2},{"info":"compute binary expreesion, left_input=2826, right_input=1468, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4294","layer":1},{"info":"number node, value=3540","layer":2},{"info":"number node, value=4335","layer":2},{"info":"compute binary expreesion, left_input=3540, right_input=4335, 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=4294, right_input=160, 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=-163","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1776+⫖↰⪸A24)⨐⩸⫘(⫖↰⪸2070⨵⪆⫖↰⪸2613)=⫖↰⪸-117","reverse_text":"⫖↰⪸-117=(⫖↰⪸1776+⫖↰⪸A24)⨐⩸⫘(⫖↰⪸2070⨵⪆⫖↰⪸2613)","cot":[{"info":"⫖↰⪸1776+⫖↰⪸A24=⫖↰⪸259A","layer":1},{"info":"⫖↰⪸2070⨵⪆⫖↰⪸2613=⫖↰⪸114","layer":1},{"info":"⫖↰⪸259A⨐⩸⫘⫖↰⪸114=⫖↰⪸-117","layer":0}]}
+{"id":625,"expression_no_base_symbol":"($3824$≭$3544$)⋝⋈⪟($3870$⋳⪒$2383$)","expression":"(⫖↰⪸2268≭⫖↰⪸2074)⋝⋈⪟(⫖↰⪸22A6⋳⪒⫖↰⪸1467)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3824,"base":12},"right_expr":{"type":"numeric_atoms","value":3544,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3870,"base":12},"right_expr":{"type":"numeric_atoms","value":2383,"base":12}}},"used_operators":["2DDjHMKMc0","rxpJgHHUmx","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3824","layer":2},{"info":"number node, value=3544","layer":2},{"info":"compute binary expreesion, left_input=3824, right_input=3544, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=3870","layer":2},{"info":"number node, value=2383","layer":2},{"info":"compute binary expreesion, left_input=3870, right_input=2383, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5070","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5070, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2268≭⫖↰⪸2074)⋝⋈⪟(⫖↰⪸22A6⋳⪒⫖↰⪸1467)=NaN","reverse_text":"NaN=(⫖↰⪸2268≭⫖↰⪸2074)⋝⋈⪟(⫖↰⪸22A6⋳⪒⫖↰⪸1467)","cot":[{"info":"⫖↰⪸2268≭⫖↰⪸2074=NaN","layer":1},{"info":"⫖↰⪸22A6⋳⪒⫖↰⪸1467=⫖↰⪸2B26","layer":1},{"info":"NaN⋝⋈⪟⫖↰⪸2B26=NaN","layer":0}]}
+{"id":626,"expression_no_base_symbol":"(≉$1033$)↙$1248$⩚⊴⇥$1140$","expression":"(≉⫖↰⪸721)↙⫖↰⪸880⩚⊴⇥⫖↰⪸7B0","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2517,"operation_count":3,"complexity_ratio":839.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1033,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1248,"base":12},"right_expr":{"type":"numeric_atoms","value":1140,"base":12}}},"used_operators":["yyfyN0ffXY","e1ybzncUwg","NTOWxs364D"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-4433","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1033","layer":2},{"info":"compute unary expreesion, input=1033, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1564","layer":1},{"info":"number node, value=1248","layer":2},{"info":"number node, value=1140","layer":2},{"info":"compute binary expreesion, left_input=1248, right_input=1140, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2509","layer":1},{"info":"compute binary expreesion, left_input=1564, right_input=-2509, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7527","layer":0}],"base":12,"result_base":12,"text":"(≉⫖↰⪸721)↙⫖↰⪸880⩚⊴⇥⫖↰⪸7B0=⫖↰⪸-4433","reverse_text":"⫖↰⪸-4433=(≉⫖↰⪸721)↙⫖↰⪸880⩚⊴⇥⫖↰⪸7B0","cot":[{"info":"≉⫖↰⪸721=⫖↰⪸AA4","layer":1},{"info":"⫖↰⪸880⩚⊴⇥⫖↰⪸7B0=⫖↰⪸-1551","layer":1},{"info":"⫖↰⪸AA4↙⫖↰⪸-1551=⫖↰⪸-4433","layer":0}]}
+{"id":627,"expression_no_base_symbol":"(≦∁$4251$)⋳⪒($1911$⫡⨏$1070$)","expression":"(≦∁⫖↰⪸2563)⋳⪒(⫖↰⪸1133⫡⨏⫖↰⪸752)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4251,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1911,"base":12},"right_expr":{"type":"numeric_atoms","value":1070,"base":12}}},"used_operators":["12rbrZMWeM","9ICcGScMcE","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-2573","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4251","layer":2},{"info":"compute unary expreesion, input=4251, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4251","layer":1},{"info":"number node, value=1911","layer":2},{"info":"number node, value=1070","layer":2},{"info":"compute binary expreesion, left_input=1911, right_input=1070, 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=12478","layer":1},{"info":"compute binary expreesion, left_input=4251, right_input=12478, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4263","layer":0}],"base":12,"result_base":12,"text":"(≦∁��↰⪸2563)⋳⪒(⫖↰⪸1133⫡⨏⫖↰⪸752)=⫖↰⪸-2573","reverse_text":"⫖↰⪸-2573=(≦∁⫖↰⪸2563)⋳⪒(⫖↰⪸1133⫡⨏⫖↰⪸752)","cot":[{"info":"≦∁⫖↰⪸2563=⫖↰⪸2563","layer":1},{"info":"⫖↰⪸1133⫡⨏⫖↰⪸752=⫖↰⪸727A","layer":1},{"info":"⫖↰⪸2563⋳⪒⫖↰⪸727A=⫖↰⪸-2573","layer":0}]}
+{"id":628,"expression_no_base_symbol":"$5499$+⇶⊼$1043$⊭↱($3128$⩨$6228$)","expression":"⫖↰⪸3223+⇶⊼⫖↰⪸72B⊭↱(⫖↰⪸1988⩨⫖↰⪸3730)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5499,"base":12},"right_expr":{"type":"numeric_atoms","value":1043,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3128,"base":12},"right_expr":{"type":"numeric_atoms","value":6228,"base":12}}},"used_operators":["COABgblf1C","TpPTUOHfaN","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5499","layer":2},{"info":"number node, value=1043","layer":2},{"info":"compute binary expreesion, left_input=5499, right_input=1043, 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=3128","layer":2},{"info":"number node, value=6228","layer":2},{"info":"compute binary expreesion, left_input=3128, right_input=6228, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3223+⇶⊼⫖↰⪸72B⊭↱(⫖↰⪸1988⩨⫖↰⪸3730)=NaN","reverse_text":"NaN=⫖↰⪸3223+⇶⊼⫖↰⪸72B⊭↱(⫖↰⪸1988⩨⫖↰⪸3730)","cot":[{"info":"⫖↰⪸3223+⇶⊼⫖↰⪸72B=NaN","layer":1},{"info":"⫖↰⪸1988⩨⫖↰⪸3730=⫖↰⪸-3","layer":1},{"info":"NaN⊭↱⫖↰⪸-3=NaN","layer":0}]}
+{"id":629,"expression_no_base_symbol":"$1746$⋓$4301$∲⫓(↔$3566$)","expression":"⫖↰⪸1016⋓⫖↰⪸25A5∲⫓(↔⫖↰⪸2092)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1746,"base":12},"right_expr":{"type":"numeric_atoms","value":4301,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3566,"base":12}}},"used_operators":["i8ToyICDmI","T2fj7uvVaJ","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1746","layer":2},{"info":"number node, value=4301","layer":2},{"info":"compute binary expreesion, left_input=1746, right_input=4301, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=3566","layer":2},{"info":"compute unary expreesion, input=3566, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3293","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3293, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1016⋓⫖↰⪸25A5∲⫓(↔⫖↰⪸2092)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫖↰⪸1016⋓⫖↰⪸25A5∲⫓(↔⫖↰⪸2092)","cot":[{"info":"⫖↰⪸1016⋓⫖↰⪸25A5=⫖↰⪸0","layer":1},{"info":"↔⫖↰⪸2092=⫖↰⪸-1AA5","layer":1},{"info":"⫖↰⪸0∲⫓⫖↰⪸-1AA5=⫖↰⪸0","layer":0}]}
+{"id":630,"expression_no_base_symbol":"($2732$*$9510$)≎⊠⪸($2147$/$4384$)","expression":"(⫖↰⪸16B8*⫖↰⪸5606)≎⊠⪸(⫖↰⪸12AB/⫖↰⪸2654)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3003,"operation_count":3,"complexity_ratio":1001.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2732,"base":12},"right_expr":{"type":"numeric_atoms","value":9510,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2147,"base":12},"right_expr":{"type":"numeric_atoms","value":4384,"base":12}}},"used_operators":["bJkvcejdHO","9HNa5Wba9A","XhwjNDsVaA"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"Inf","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2732","layer":2},{"info":"number node, value=9510","layer":2},{"info":"compute binary expreesion, left_input=2732, right_input=9510, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=25981320","layer":1},{"info":"number node, value=2147","layer":2},{"info":"number node, value=4384","layer":2},{"info":"compute binary expreesion, left_input=2147, right_input=4384, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=25981320, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=inf","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸16B8*⫖↰⪸5606)≎⊠⪸(⫖↰⪸12AB/⫖↰⪸2654)=Inf","reverse_text":"Inf=(⫖↰⪸16B8*⫖↰⪸5606)≎⊠⪸(⫖↰⪸12AB/⫖↰⪸2654)","cot":[{"info":"⫖↰⪸16B8*⫖↰⪸5606=⫖↰⪸884B5A0","layer":1},{"info":"⫖↰⪸12AB/⫖↰⪸2654=⫖↰⪸0","layer":1},{"info":"⫖↰⪸884B5A0≎⊠⪸⫖↰⪸0=Inf","layer":0}]}
+{"id":631,"expression_no_base_symbol":"(⩦⩻⨪$1954$)-(⨵≀≌$1160$)","expression":"(⩦⩻⨪⫖↰⪸116A)-(⨵≀≌⫖↰⪸808)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1954,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1160,"base":12}}},"used_operators":["rysDP5nf3Z","2td37pGCOC","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫖↰⪸318A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1954","layer":2},{"info":"compute unary expreesion, input=1954, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1954","layer":1},{"info":"number node, value=1160","layer":2},{"info":"compute unary expreesion, input=1160, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3480","layer":1},{"info":"compute binary expreesion, left_input=1954, right_input=-3480, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5434","layer":0}],"base":12,"result_base":12,"text":"(⩦⩻⨪⫖↰⪸116A)-(⨵≀≌⫖↰⪸808)=⫖↰⪸318A","reverse_text":"⫖↰⪸318A=(⩦⩻⨪⫖↰⪸116A)-(⨵≀≌⫖↰⪸808)","cot":[{"info":"⩦⩻⨪⫖↰⪸116A=⫖↰⪸116A","layer":1},{"info":"⨵≀≌⫖↰⪸808=⫖↰⪸-2020","layer":1},{"info":"⫖↰⪸116A-⫖↰⪸-2020=⫖↰⪸318A","layer":0}]}
+{"id":632,"expression_no_base_symbol":"($1982$⪒$2503$)⪒$1583$∼$3092$","expression":"(⫖↰⪸1192⪒⫖↰⪸1547)⪒⫖↰⪸ABB∼⫖↰⪸1958","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":39,"operation_count":3,"complexity_ratio":13.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1982,"base":12},"right_expr":{"type":"numeric_atoms","value":2503,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1583,"base":12},"right_expr":{"type":"numeric_atoms","value":3092,"base":12}}},"used_operators":["f6k1SAg4EE","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1982","layer":2},{"info":"number node, value=2503","layer":2},{"info":"compute binary expreesion, left_input=1982, right_input=2503, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4485","layer":1},{"info":"number node, value=1583","layer":2},{"info":"number node, value=3092","layer":2},{"info":"compute binary expreesion, left_input=1583, right_input=3092, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4485, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1192⪒⫖↰⪸1547)⪒⫖↰⪸ABB∼⫖↰⪸1958=NaN","reverse_text":"NaN=(⫖↰⪸1192⪒⫖↰⪸1547)⪒⫖↰⪸ABB∼⫖↰⪸1958","cot":[{"info":"⫖↰⪸1192⪒⫖↰⪸1547=⫖↰⪸-2719","layer":1},{"info":"⫖↰⪸ABB∼⫖↰⪸1958=NaN","layer":1},{"info":"⫖↰⪸-2719⪒NaN=NaN","layer":0}]}
+{"id":633,"expression_no_base_symbol":"(⩦⩻⨪$3005$)+⇶⊼($1287$⨵⪆$7999$)","expression":"(⩦⩻⨪⫖↰⪸18A5)+⇶⊼(⫖↰⪸8B3⨵⪆⫖↰⪸4767)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3005,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1287,"base":12},"right_expr":{"type":"numeric_atoms","value":7999,"base":12}}},"used_operators":["TpPTUOHfaN","2td37pGCOC","2DQ55sFlQl"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3005","layer":2},{"info":"compute unary expreesion, input=3005, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3005","layer":1},{"info":"number node, value=1287","layer":2},{"info":"number node, value=7999","layer":2},{"info":"compute binary expreesion, left_input=1287, right_input=7999, 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=3005, right_input=160, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⩦⩻⨪⫖↰⪸18A5)+⇶⊼(⫖↰⪸8B3⨵⪆⫖↰⪸4767)=NaN","reverse_text":"NaN=(⩦⩻⨪⫖↰⪸18A5)+⇶⊼(⫖↰⪸8B3⨵⪆⫖↰⪸4767)","cot":[{"info":"⩦⩻⨪⫖↰⪸18A5=⫖↰⪸18A5","layer":1},{"info":"⫖↰⪸8B3⨵⪆⫖↰⪸4767=⫖↰⪸114","layer":1},{"info":"⫖↰⪸18A5+⇶⊼⫖↰⪸114=NaN","layer":0}]}
+{"id":634,"expression_no_base_symbol":"⨑⩽⪐(+⊝⨔$2818$)","expression":"⨑⩽⪐(+⊝⨔⫖↰⪸176A)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":44,"operation_count":2,"complexity_ratio":22.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2818,"base":12}}},"used_operators":["AF7qkfDlqP","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫖↰⪸-881","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2818","layer":2},{"info":"compute unary expreesion, input=2818, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute unary expreesion, input=1522, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1249","layer":0}],"base":12,"result_base":12,"text":"⨑⩽⪐(+⊝⨔⫖↰⪸176A)=⫖↰⪸-881","reverse_text":"⫖↰⪸-881=⨑⩽⪐(+⊝⨔⫖↰⪸176A)","cot":[{"info":"+⊝⨔⫖↰⪸176A=⫖↰⪸A6A","layer":1},{"info":"⨑⩽⪐⫖↰⪸A6A=⫖↰⪸-881","layer":0}]}
+{"id":635,"expression_no_base_symbol":"$5401$⨳⩥⨓$4427$↺(⫛⫱⨽$5037$)","expression":"⫖↰⪸3161⨳⩥⨓⫖↰⪸268B↺(⫛⫱⨽⫖↰⪸2AB9)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1427,"operation_count":3,"complexity_ratio":475.6666666666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5401,"base":12},"right_expr":{"type":"numeric_atoms","value":4427,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5037,"base":12}}},"used_operators":["7j4O788W3g","nCS4ZIUYfx","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5401","layer":2},{"info":"number node, value=4427","layer":2},{"info":"compute binary expreesion, left_input=5401, right_input=4427, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-974","layer":1},{"info":"number node, value=5037","layer":2},{"info":"compute unary expreesion, input=5037, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-974, right_input=0, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3161⨳⩥⨓⫖↰⪸268B↺(⫛⫱⨽⫖↰⪸2AB9)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫖↰⪸3161⨳⩥⨓⫖↰⪸268B↺(⫛⫱⨽⫖↰⪸2AB9)","cot":[{"info":"⫖↰⪸3161⨳⩥⨓⫖↰⪸268B=⫖↰⪸-692","layer":1},{"info":"⫛⫱⨽⫖↰⪸2AB9=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-692↺⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":636,"expression_no_base_symbol":"$1538$⪮%⊝$4974$⨰($2661$-$3736$)","expression":"⫖↰⪸A82⪮%⊝⫖↰⪸2A66⨰(⫖↰⪸1659-⫖↰⪸21B4)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1538,"base":12},"right_expr":{"type":"numeric_atoms","value":4974,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2661,"base":12},"right_expr":{"type":"numeric_atoms","value":3736,"base":12}}},"used_operators":["eewbuw0ToL","IWmyXbctLI","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸2711","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1538","layer":2},{"info":"number node, value=4974","layer":2},{"info":"compute binary expreesion, left_input=1538, right_input=4974, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3392","layer":1},{"info":"number node, value=2661","layer":2},{"info":"number node, value=3736","layer":2},{"info":"compute binary expreesion, left_input=2661, right_input=3736, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1075","layer":1},{"info":"compute binary expreesion, left_input=3392, right_input=-1075, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4477","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸A82⪮%⊝⫖↰⪸2A66⨰(⫖↰⪸1659-⫖↰⪸21B4)=⫖↰⪸2711","reverse_text":"⫖↰⪸2711=⫖↰⪸A82⪮%⊝⫖↰⪸2A66⨰(⫖↰⪸1659-⫖↰⪸21B4)","cot":[{"info":"⫖↰⪸A82⪮%⊝⫖↰⪸2A66=⫖↰⪸1B68","layer":1},{"info":"⫖↰⪸1659-⫖↰⪸21B4=⫖↰⪸-757","layer":1},{"info":"⫖↰⪸1B68⨰⫖↰⪸-757=⫖↰⪸2711","layer":0}]}
+{"id":637,"expression_no_base_symbol":"($4798$⪄$5368$)⪐","expression":"(⫖↰⪸293A⪄⫖↰⪸3134)⪐","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":97,"operation_count":2,"complexity_ratio":48.5,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4798,"base":12},"right_expr":{"type":"numeric_atoms","value":5368,"base":12}}},"used_operators":["eH2TOUuTDT","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫖↰⪸-5A2256","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4798","layer":2},{"info":"number node, value=5368","layer":2},{"info":"compute binary expreesion, left_input=4798, right_input=5368, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-727665","layer":1},{"info":"compute unary expreesion, input=-727665, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-1455330","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸293A⪄⫖↰⪸3134)⪐=⫖↰⪸-5A2256","reverse_text":"⫖↰⪸-5A2256=(⫖↰⪸293A⪄⫖↰⪸3134)⪐","cot":[{"info":"⫖↰⪸293A⪄⫖↰⪸3134=⫖↰⪸-2B1129","layer":1},{"info":"⫖↰⪸-2B1129⪐=⫖↰⪸-5A2256","layer":0}]}
+{"id":638,"expression_no_base_symbol":"($4355$⊠≄⫣)⨁⊸⫻","expression":"(⫖↰⪸262B⊠≄⫣)⨁⊸⫻","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4355,"base":12}}},"used_operators":["glklzrTFfD","DIvbN7qnHd"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4355","layer":2},{"info":"compute unary expreesion, input=4355, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"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":0}],"base":12,"result_base":12,"text":"(⫖↰⪸262B⊠≄⫣)⨁⊸⫻=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸262B⊠≄⫣)⨁⊸⫻","cot":[{"info":"⫖↰⪸262B⊠≄⫣=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⨁⊸⫻=⫖↰⪸0","layer":0}]}
+{"id":639,"expression_no_base_symbol":"$1512$⋥≓≎$3697$⨵⪆$2066$⫸⊐$1207$","expression":"⫖↰⪸A60⋥≓≎⫖↰⪸2181⨵⪆⫖↰⪸1242⫸⊐⫖↰⪸847","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1512,"base":12},"right_expr":{"type":"numeric_atoms","value":3697,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2066,"base":12},"right_expr":{"type":"numeric_atoms","value":1207,"base":12}}},"used_operators":["2DQ55sFlQl","Qy55tPpLXF","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1512","layer":2},{"info":"number node, value=3697","layer":2},{"info":"compute binary expreesion, left_input=1512, right_input=3697, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5915","layer":1},{"info":"number node, value=2066","layer":2},{"info":"number node, value=1207","layer":2},{"info":"compute binary expreesion, left_input=2066, right_input=1207, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4703","layer":1},{"info":"compute binary expreesion, left_input=5915, right_input=4703, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸A60⋥≓≎⫖↰⪸2181⨵⪆⫖↰⪸1242⫸⊐⫖↰⪸847=⫖↰⪸114","reverse_text":"⫖↰⪸114=⫖↰⪸A60⋥≓≎⫖↰⪸2181⨵⪆⫖↰⪸1242⫸⊐⫖↰⪸847","cot":[{"info":"⫖↰⪸A60⋥≓≎⫖↰⪸2181=⫖↰⪸350B","layer":1},{"info":"⫖↰⪸1242⫸⊐⫖↰⪸847=⫖↰⪸287B","layer":1},{"info":"⫖↰⪸350B⨵⪆⫖↰⪸287B=⫖↰⪸114","layer":0}]}
+{"id":640,"expression_no_base_symbol":"$2162$⇷$6266$⇼⇔∾($3536$%$4697$)","expression":"⫖↰⪸1302⇷⫖↰⪸3762⇼⇔∾(⫖↰⪸2068%⫖↰⪸2875)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30277,"operation_count":3,"complexity_ratio":10092.333333333334,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2162,"base":12},"right_expr":{"type":"numeric_atoms","value":6266,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3536,"base":12},"right_expr":{"type":"numeric_atoms","value":4697,"base":12}}},"used_operators":["tifHPKVTfV","mp7IySMOzn","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸-5258","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2162","layer":2},{"info":"number node, value=6266","layer":2},{"info":"compute binary expreesion, left_input=2162, right_input=6266, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12532","layer":1},{"info":"number node, value=3536","layer":2},{"info":"number node, value=4697","layer":2},{"info":"compute binary expreesion, left_input=3536, right_input=4697, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3536","layer":1},{"info":"compute binary expreesion, left_input=12532, right_input=3536, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-8996","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1302⇷⫖↰⪸3762⇼⇔∾(⫖↰⪸2068%⫖↰⪸2875)=⫖↰⪸-5258","reverse_text":"⫖↰⪸-5258=⫖↰⪸1302⇷⫖↰⪸3762⇼⇔∾(⫖↰⪸2068%⫖↰⪸2875)","cot":[{"info":"⫖↰⪸1302⇷⫖↰⪸3762=⫖↰⪸7304","layer":1},{"info":"⫖↰⪸2068%⫖↰⪸2875=⫖↰⪸2068","layer":1},{"info":"⫖↰⪸7304⇼⇔∾⫖↰⪸2068=⫖↰⪸-5258","layer":0}]}
+{"id":641,"expression_no_base_symbol":"($3850$/$1480$)∲⫓$1309$⋥≓≎$4284$","expression":"(⫖↰⪸228A/⫖↰⪸A34)∲⫓⫖↰⪸911⋥≓≎⫖↰⪸2590","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3850,"base":12},"right_expr":{"type":"numeric_atoms","value":1480,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1309,"base":12},"right_expr":{"type":"numeric_atoms","value":4284,"base":12}}},"used_operators":["i8ToyICDmI","XhwjNDsVaA","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3850","layer":2},{"info":"number node, value=1480","layer":2},{"info":"compute binary expreesion, left_input=3850, right_input=1480, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":1},{"info":"number node, value=1309","layer":2},{"info":"number node, value=4284","layer":2},{"info":"compute binary expreesion, left_input=1309, right_input=4284, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7292","layer":1},{"info":"compute binary expreesion, left_input=2, right_input=7292, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸228A/⫖↰⪸A34)∲⫓⫖↰⪸911⋥≓≎⫖↰⪸2590=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸228A/⫖↰⪸A34)∲⫓⫖↰⪸911⋥≓≎⫖↰⪸2590","cot":[{"info":"⫖↰⪸228A/⫖↰⪸A34=⫖↰⪸2","layer":1},{"info":"⫖↰⪸911⋥≓≎⫖↰⪸2590=⫖↰⪸4278","layer":1},{"info":"⫖↰⪸2∲⫓⫖↰⪸4278=⫖↰⪸0","layer":0}]}
+{"id":642,"expression_no_base_symbol":"($1593$∲⫓$5175$)⨰($2353$⋳⪒$1431$)","expression":"(⫖↰⪸B09∲⫓⫖↰⪸2BB3)⨰(⫖↰⪸1441⋳⪒⫖↰⪸9B3)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1593,"base":12},"right_expr":{"type":"numeric_atoms","value":5175,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2353,"base":12},"right_expr":{"type":"numeric_atoms","value":1431,"base":12}}},"used_operators":["eewbuw0ToL","i8ToyICDmI","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-1882","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1593","layer":2},{"info":"number node, value=5175","layer":2},{"info":"compute binary expreesion, left_input=1593, right_input=5175, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=2353","layer":2},{"info":"number node, value=1431","layer":2},{"info":"compute binary expreesion, left_input=2353, right_input=1431, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2988","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2988, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2978","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸B09∲⫓⫖↰⪸2BB3)⨰(⫖↰⪸1441⋳⪒⫖↰⪸9B3)=⫖↰⪸-1882","reverse_text":"⫖↰⪸-1882=(⫖↰⪸B09∲⫓⫖↰⪸2BB3)⨰(⫖↰⪸1441⋳⪒⫖↰⪸9B3)","cot":[{"info":"⫖↰⪸B09∲⫓⫖↰⪸2BB3=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1441⋳⪒⫖↰⪸9B3=⫖↰⪸1890","layer":1},{"info":"⫖↰⪸0⨰⫖↰⪸1890=⫖↰⪸-1882","layer":0}]}
+{"id":643,"expression_no_base_symbol":"⪝⪂⫅($6902$⋝⋈⪟$2414$)","expression":"⪝⪂⫅(⫖↰⪸3BB2⋝⋈⪟⫖↰⪸1492)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":153,"operation_count":2,"complexity_ratio":76.5,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6902,"base":12},"right_expr":{"type":"numeric_atoms","value":2414,"base":12}}},"used_operators":["XTarYq4gQB","2DDjHMKMc0"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-40B196","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6902","layer":2},{"info":"number node, value=2414","layer":2},{"info":"compute binary expreesion, left_input=6902, right_input=2414, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6902","layer":1},{"info":"compute unary expreesion, input=6902, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1014594","layer":0}],"base":12,"result_base":12,"text":"⪝⪂⫅(⫖↰⪸3BB2⋝⋈⪟⫖↰⪸1492)=⫖↰⪸-40B196","reverse_text":"⫖↰⪸-40B196=⪝⪂⫅(⫖↰⪸3BB2⋝⋈⪟⫖↰⪸1492)","cot":[{"info":"⫖↰⪸3BB2⋝⋈⪟⫖↰⪸1492=⫖↰⪸3BB2","layer":1},{"info":"⪝⪂⫅⫖↰⪸3BB2=⫖↰⪸-40B196","layer":0}]}
+{"id":644,"expression_no_base_symbol":"(⫓⪴$8890$)⨸⪁$2510$⩷∴$5007$","expression":"(⫓⪴⫖↰⪸518A)⨸⪁⫖↰⪸1552⩷∴⫖↰⪸2A93","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8899,"operation_count":3,"complexity_ratio":2966.3333333333335,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":8890,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2510,"base":12},"right_expr":{"type":"numeric_atoms","value":5007,"base":12}}},"used_operators":["g55IO6H4Gj","eLxqMNBOBk","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","9HNa5Wba9A","rysDP5nf3Z"],"result":"⫖↰⪸44B22630","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8890","layer":2},{"info":"compute unary expreesion, input=8890, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=79032100","layer":1},{"info":"number node, value=2510","layer":2},{"info":"number node, value=5007","layer":2},{"info":"compute binary expreesion, left_input=2510, right_input=5007, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5026","layer":1},{"info":"compute binary expreesion, left_input=79032100, right_input=-5026, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=158054148","layer":0}],"base":12,"result_base":12,"text":"(⫓⪴⫖↰⪸518A)⨸⪁⫖↰⪸1552⩷∴⫖↰⪸2A93=⫖↰⪸44B22630","reverse_text":"⫖↰⪸44B22630=(⫓⪴⫖↰⪸518A)⨸⪁⫖↰⪸1552⩷∴⫖↰⪸2A93","cot":[{"info":"⫓⪴⫖↰⪸518A=⫖↰⪸22574204","layer":1},{"info":"⫖↰⪸1552⩷∴⫖↰⪸2A93=⫖↰⪸-2AAA","layer":1},{"info":"⫖↰⪸22574204⨸⪁⫖↰⪸-2AAA=⫖↰⪸44B22630","layer":0}]}
+{"id":645,"expression_no_base_symbol":"⫓⪴$1875$∀⇚≩$1739$","expression":"⫓⪴⫖↰⪸1103∀⇚≩⫖↰⪸100B","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":13126,"operation_count":2,"complexity_ratio":6563.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1875,"base":12},"right_expr":{"type":"numeric_atoms","value":1739,"base":12}}},"used_operators":["eLxqMNBOBk","LRNGc0VcxI"],"dependent_operators":["9HNa5Wba9A","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1875","layer":2},{"info":"number node, value=1739","layer":2},{"info":"compute binary expreesion, left_input=1875, right_input=1739, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫓⪴⫖↰⪸1103∀⇚≩⫖↰⪸100B=NaN","reverse_text":"NaN=⫓⪴⫖↰⪸1103∀⇚≩⫖↰⪸100B","cot":[{"info":"⫖↰⪸1103∀⇚≩⫖↰⪸100B=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
+{"id":646,"expression_no_base_symbol":"∂($8051$⨳⩥⨓$1325$)","expression":"∂(⫖↰⪸47AB⨳⩥⨓⫖↰⪸925)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":420,"operation_count":2,"complexity_ratio":210.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":8051,"base":12},"right_expr":{"type":"numeric_atoms","value":1325,"base":12}}},"used_operators":["Uaa54Peajs","nCS4ZIUYfx"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸38A6","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8051","layer":2},{"info":"number node, value=1325","layer":2},{"info":"compute binary expreesion, left_input=8051, right_input=1325, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-6726","layer":1},{"info":"compute unary expreesion, input=-6726, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=6462","layer":0}],"base":12,"result_base":12,"text":"∂(⫖↰⪸47AB⨳⩥⨓⫖↰⪸925)=⫖↰⪸38A6","reverse_text":"⫖↰⪸38A6=∂(⫖↰⪸47AB⨳⩥⨓⫖↰⪸925)","cot":[{"info":"⫖↰⪸47AB⨳⩥⨓⫖↰⪸925=⫖↰⪸-3A86","layer":1},{"info":"∂⫖↰⪸-3A86=⫖↰⪸38A6","layer":0}]}
+{"id":647,"expression_no_base_symbol":"($1153$⩨$3558$)≭($2737$≣⋋)","expression":"(⫖↰⪸801⩨⫖↰⪸2086)≭(⫖↰⪸1701≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":521,"operation_count":3,"complexity_ratio":173.66666666666666,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1153,"base":12},"right_expr":{"type":"numeric_atoms","value":3558,"base":12}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2737,"base":12}}},"used_operators":["rxpJgHHUmx","2DlMacCsIx","Tcnh7f0tEr"],"dependent_operators":["AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⫖↰⪸-1A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1153","layer":2},{"info":"number node, value=3558","layer":2},{"info":"compute binary expreesion, left_input=1153, right_input=3558, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":1},{"info":"number node, value=2737","layer":2},{"info":"compute unary expreesion, input=2737, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-9, 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":12,"result_base":12,"text":"(⫖↰⪸801⩨⫖↰⪸2086)≭(⫖↰⪸1701≣⋋)=⫖↰⪸-1A","reverse_text":"⫖↰⪸-1A=(⫖↰⪸801⩨⫖↰⪸2086)≭(⫖↰⪸1701≣⋋)","cot":[{"info":"⫖↰⪸801⩨⫖↰⪸2086=⫖↰⪸-9","layer":1},{"info":"⫖↰⪸1701≣⋋=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-9≭⫖↰⪸0=⫖↰⪸-1A","layer":0}]}
+{"id":648,"expression_no_base_symbol":"($1534$⪨≂$1564$)⨎$6994$⪘⫢$2512$","expression":"(⫖↰⪸A7A⪨≂⫖↰⪸AA4)⨎⫖↰⪸406A⪘⫢⫖↰⪸1554","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1534,"base":12},"right_expr":{"type":"numeric_atoms","value":1564,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6994,"base":12},"right_expr":{"type":"numeric_atoms","value":2512,"base":12}}},"used_operators":["rJVOvQCfKK","sdazOOVcIp","oacrs7FA3X"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫖↰⪸8034","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1534","layer":2},{"info":"number node, value=1564","layer":2},{"info":"compute binary expreesion, left_input=1534, right_input=1564, 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=42","layer":1},{"info":"number node, value=6994","layer":2},{"info":"number node, value=2512","layer":2},{"info":"compute binary expreesion, left_input=6994, right_input=2512, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13864","layer":1},{"info":"compute binary expreesion, left_input=42, right_input=13864, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=13864","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A7A⪨≂⫖↰⪸AA4)⨎⫖↰⪸406A⪘⫢⫖↰⪸1554=⫖↰⪸8034","reverse_text":"⫖↰⪸8034=(⫖↰⪸A7A⪨≂⫖↰⪸AA4)⨎⫖↰⪸406A⪘⫢⫖↰⪸1554","cot":[{"info":"⫖↰⪸A7A⪨≂⫖↰⪸AA4=⫖↰⪸36","layer":1},{"info":"⫖↰⪸406A⪘⫢⫖↰⪸1554=⫖↰⪸8034","layer":1},{"info":"⫖↰⪸36⨎⫖↰⪸8034=⫖↰⪸8034","layer":0}]}
+{"id":649,"expression_no_base_symbol":"$2300$⋓$2087$⩨($7692$⋷$1452$)","expression":"⫖↰⪸13B8⋓⫖↰⪸125B⩨(⫖↰⪸4550⋷⫖↰⪸A10)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2300,"base":12},"right_expr":{"type":"numeric_atoms","value":2087,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7692,"base":12},"right_expr":{"type":"numeric_atoms","value":1452,"base":12}}},"used_operators":["2DlMacCsIx","T2fj7uvVaJ","23Mk6UjR3U"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2300","layer":2},{"info":"number node, value=2087","layer":2},{"info":"compute binary expreesion, left_input=2300, right_input=2087, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=7692","layer":2},{"info":"number node, value=1452","layer":2},{"info":"compute binary expreesion, left_input=7692, right_input=1452, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4788","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-4788, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸13B8⋓⫖↰⪸125B⩨(⫖↰⪸4550⋷⫖↰⪸A10)=NaN","reverse_text":"NaN=⫖↰⪸13B8⋓⫖↰⪸125B⩨(⫖↰⪸4550⋷⫖↰⪸A10)","cot":[{"info":"⫖↰⪸13B8⋓⫖↰⪸125B=⫖↰⪸0","layer":1},{"info":"⫖↰⪸4550⋷⫖↰⪸A10=⫖↰⪸-2930","layer":1},{"info":"⫖↰⪸0⩨⫖↰⪸-2930=NaN","layer":0}]}
+{"id":650,"expression_no_base_symbol":"($1530$+$7042$)⨰(⨰⫟⨤$4179$)","expression":"(⫖↰⪸A76+⫖↰⪸40AA)⨰(⨰⫟⨤⫖↰⪸2503)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15883,"operation_count":3,"complexity_ratio":5294.333333333333,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1530,"base":12},"right_expr":{"type":"numeric_atoms","value":7042,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4179,"base":12}}},"used_operators":["eewbuw0ToL","W4YGzv6Whe","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1530","layer":2},{"info":"number node, value=7042","layer":2},{"info":"compute binary expreesion, left_input=1530, right_input=7042, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8572","layer":1},{"info":"number node, value=4179","layer":2},{"info":"compute unary expreesion, input=4179, 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=8572, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A76+⫖↰⪸40AA)⨰(⨰⫟⨤⫖↰⪸2503)=NaN","reverse_text":"NaN=(⫖↰⪸A76+⫖↰⪸40AA)⨰(⨰⫟⨤⫖↰⪸2503)","cot":[{"info":"⫖↰⪸A76+⫖↰⪸40AA=⫖↰⪸4B64","layer":1},{"info":"⨰⫟⨤⫖↰⪸2503=NaN","layer":1},{"info":"⫖↰⪸4B64⨰NaN=NaN","layer":0}]}
+{"id":651,"expression_no_base_symbol":"($1626$⨎$1054$)≹⇙⪍($1014$∑⇟⊟$7460$)","expression":"(⫖↰⪸B36⨎⫖↰⪸73A)≹⇙⪍(⫖↰⪸706∑⇟⊟⫖↰⪸4398)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1626,"base":12},"right_expr":{"type":"numeric_atoms","value":1054,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1014,"base":12},"right_expr":{"type":"numeric_atoms","value":7460,"base":12}}},"used_operators":["AHs5Up7iyr","rJVOvQCfKK","U7g4x0WXJJ"],"dependent_operators":["dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1626","layer":2},{"info":"number node, value=1054","layer":2},{"info":"compute binary expreesion, left_input=1626, right_input=1054, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1054","layer":1},{"info":"number node, value=1014","layer":2},{"info":"number node, value=7460","layer":2},{"info":"compute binary expreesion, left_input=1014, right_input=7460, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1054, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸B36⨎⫖↰⪸73A)≹⇙⪍(⫖↰⪸706∑⇟⊟⫖↰⪸4398)=NaN","reverse_text":"NaN=(⫖↰⪸B36⨎⫖↰⪸73A)≹⇙⪍(⫖↰⪸706∑⇟⊟⫖↰⪸4398)","cot":[{"info":"⫖↰⪸B36⨎⫖↰⪸73A=⫖↰⪸73A","layer":1},{"info":"⫖↰⪸706∑⇟⊟⫖↰⪸4398=NaN","layer":1},{"info":"⫖↰⪸73A≹⇙⪍NaN=NaN","layer":0}]}
+{"id":652,"expression_no_base_symbol":"$1698$⊴$1896$/$2797$↬$5878$","expression":"⫖↰⪸B96⊴⫖↰⪸1120/⫖↰⪸1751↬⫖↰⪸349A","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1904,"operation_count":3,"complexity_ratio":634.6666666666666,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1698,"base":12},"right_expr":{"type":"numeric_atoms","value":1896,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2797,"base":12},"right_expr":{"type":"numeric_atoms","value":5878,"base":12}}},"used_operators":["XhwjNDsVaA","Nsiff2A1zJ","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1698","layer":2},{"info":"number node, value=1896","layer":2},{"info":"compute binary expreesion, left_input=1698, right_input=1896, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2797","layer":2},{"info":"number node, value=5878","layer":2},{"info":"compute binary expreesion, left_input=2797, right_input=5878, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸B96⊴⫖↰⪸1120/⫖↰⪸1751↬⫖↰⪸349A=NaN","reverse_text":"NaN=⫖↰⪸B96⊴⫖↰⪸1120/⫖↰⪸1751↬⫖↰⪸349A","cot":[{"info":"⫖↰⪸B96⊴⫖↰⪸1120=NaN","layer":1},{"info":"⫖↰⪸1751↬⫖↰⪸349A=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
+{"id":653,"expression_no_base_symbol":"($2000$∑⇟⊟$3633$)⨟⋌⩍($1325$/$2351$)","expression":"(⫖↰⪸11A8∑⇟⊟⫖↰⪸2129)⨟⋌⩍(⫖↰⪸925/⫖↰⪸143B)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2000,"base":12},"right_expr":{"type":"numeric_atoms","value":3633,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1325,"base":12},"right_expr":{"type":"numeric_atoms","value":2351,"base":12}}},"used_operators":["rGHVDoGpnC","U7g4x0WXJJ","XhwjNDsVaA"],"dependent_operators":["Tcnh7f0tEr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2000","layer":2},{"info":"number node, value=3633","layer":2},{"info":"compute binary expreesion, left_input=2000, right_input=3633, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1325","layer":2},{"info":"number node, value=2351","layer":2},{"info":"compute binary expreesion, left_input=1325, right_input=2351, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸11A8∑⇟⊟⫖↰⪸2129)⨟⋌⩍(⫖↰⪸925/⫖↰⪸143B)=NaN","reverse_text":"NaN=(⫖↰⪸11A8∑⇟⊟⫖↰⪸2129)⨟⋌⩍(⫖↰⪸925/⫖↰⪸143B)","cot":[{"info":"⫖↰⪸11A8∑⇟⊟⫖↰⪸2129=NaN","layer":1},{"info":"⫖↰⪸925/⫖↰⪸143B=⫖↰⪸0","layer":1},{"info":"NaN⨟⋌⩍⫖↰⪸0=NaN","layer":0}]}
+{"id":654,"expression_no_base_symbol":"($4398$⩚⊴⇥$4191$)⨪↰⇹($1263$∑⇟⊟$3387$)","expression":"(⫖↰⪸2666⩚⊴⇥⫖↰⪸2513)⨪↰⇹(⫖↰⪸893∑⇟⊟⫖↰⪸1B63)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8714,"operation_count":3,"complexity_ratio":2904.6666666666665,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4398,"base":12},"right_expr":{"type":"numeric_atoms","value":4191,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1263,"base":12},"right_expr":{"type":"numeric_atoms","value":3387,"base":12}}},"used_operators":["tmPS8pqC7x","NTOWxs364D","U7g4x0WXJJ"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⫖↰⪸-505A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4398","layer":2},{"info":"number node, value=4191","layer":2},{"info":"compute binary expreesion, left_input=4398, right_input=4191, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8710","layer":1},{"info":"number node, value=1263","layer":2},{"info":"number node, value=3387","layer":2},{"info":"compute binary expreesion, left_input=1263, right_input=3387, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-8710, 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=-8710","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2666⩚⊴⇥⫖↰⪸2513)⨪↰⇹(⫖↰⪸893∑⇟⊟⫖↰⪸1B63)=⫖↰⪸-505A","reverse_text":"⫖↰⪸-505A=(⫖↰⪸2666⩚⊴⇥⫖↰⪸2513)⨪↰⇹(⫖↰⪸893∑⇟⊟⫖↰⪸1B63)","cot":[{"info":"⫖↰⪸2666⩚⊴⇥⫖↰⪸2513=⫖↰⪸-505A","layer":1},{"info":"⫖↰⪸893∑⇟⊟⫖↰⪸1B63=NaN","layer":1},{"info":"⫖↰⪸-505A⨪↰⇹NaN=⫖↰⪸-505A","layer":0}]}
+{"id":655,"expression_no_base_symbol":"$2146$⫸⊐$1208$⊭↱($3299$⩤)","expression":"⫖↰⪸12AA⫸⊐⫖↰⪸848⊭↱(⫖↰⪸1AAB⩤)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":31,"operation_count":3,"complexity_ratio":10.333333333333334,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2146,"base":12},"right_expr":{"type":"numeric_atoms","value":1208,"base":12}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3299,"base":12}}},"used_operators":["COABgblf1C","mqXw5SEYmG","Z2TMIBDE3Q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-931B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2146","layer":2},{"info":"number node, value=1208","layer":2},{"info":"compute binary expreesion, left_input=2146, right_input=1208, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4707","layer":1},{"info":"number node, value=3299","layer":2},{"info":"compute unary expreesion, input=3299, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3299","layer":1},{"info":"compute binary expreesion, left_input=4707, right_input=-3299, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-16007","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸12AA⫸⊐⫖↰⪸848⊭↱(⫖↰⪸1AAB⩤)=⫖↰⪸-931B","reverse_text":"⫖↰⪸-931B=⫖↰⪸12AA⫸⊐⫖↰⪸848⊭↱(⫖↰⪸1AAB⩤)","cot":[{"info":"⫖↰⪸12AA⫸⊐⫖↰⪸848=⫖↰⪸2883","layer":1},{"info":"⫖↰⪸1AAB⩤=⫖↰⪸-1AAB","layer":1},{"info":"⫖↰⪸2883⊭↱⫖↰⪸-1AAB=⫖↰⪸-931B","layer":0}]}
+{"id":656,"expression_no_base_symbol":"⊄⩳↩$3425$↬$1184$","expression":"⊄⩳↩⫖↰⪸1B95↬⫖↰⪸828","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3425,"base":12},"right_expr":{"type":"numeric_atoms","value":1184,"base":12}}},"used_operators":["8w2t5hMYqp","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3425","layer":2},{"info":"number node, value=1184","layer":2},{"info":"compute binary expreesion, left_input=3425, right_input=1184, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊄⩳↩⫖↰⪸1B95↬⫖↰⪸828=NaN","reverse_text":"NaN=⊄⩳↩⫖↰⪸1B95↬⫖↰⪸828","cot":[{"info":"⫖↰⪸1B95↬⫖↰⪸828=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
+{"id":657,"expression_no_base_symbol":"≤/$5757$⋝⋈⪟$7806$","expression":"≤/⫖↰⪸33B9⋝⋈⪟⫖↰⪸4626","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5757,"base":12},"right_expr":{"type":"numeric_atoms","value":7806,"base":12}}},"used_operators":["eLAdDNolq6","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-3075","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5757","layer":2},{"info":"number node, value=7806","layer":2},{"info":"compute binary expreesion, left_input=5757, right_input=7806, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5757","layer":1},{"info":"compute unary expreesion, input=5757, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5273","layer":0}],"base":12,"result_base":12,"text":"≤/⫖↰⪸33B9⋝⋈⪟⫖↰⪸4626=⫖↰⪸-3075","reverse_text":"⫖↰⪸-3075=≤/⫖↰⪸33B9⋝⋈⪟⫖↰⪸4626","cot":[{"info":"⫖↰⪸33B9⋝⋈⪟⫖↰⪸4626=⫖↰⪸33B9","layer":1},{"info":"≤/⫖↰⪸33B9=⫖↰⪸-3075","layer":0}]}
+{"id":658,"expression_no_base_symbol":"$1313$≭$1765$⇼⇔∾$2602$↺$6131$","expression":"⫖↰⪸915≭⫖↰⪸1031⇼⇔∾⫖↰⪸160A↺⫖↰⪸366B","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1313,"base":12},"right_expr":{"type":"numeric_atoms","value":1765,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2602,"base":12},"right_expr":{"type":"numeric_atoms","value":6131,"base":12}}},"used_operators":["tifHPKVTfV","rxpJgHHUmx","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1313","layer":2},{"info":"number node, value=1765","layer":2},{"info":"compute binary expreesion, left_input=1313, right_input=1765, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=2602","layer":2},{"info":"number node, value=6131","layer":2},{"info":"compute binary expreesion, left_input=2602, right_input=6131, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6131","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6131, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸915≭⫖↰⪸1031⇼⇔∾⫖↰⪸160A↺⫖↰⪸366B=NaN","reverse_text":"NaN=⫖↰⪸915≭⫖↰⪸1031⇼⇔∾⫖↰⪸160A↺⫖↰⪸366B","cot":[{"info":"⫖↰⪸915≭⫖↰⪸1031=NaN","layer":1},{"info":"⫖↰⪸160A↺⫖↰⪸366B=⫖↰⪸366B","layer":1},{"info":"NaN⇼⇔∾⫖↰⪸366B=NaN","layer":0}]}
+{"id":659,"expression_no_base_symbol":"($6119$-$1294$)⪢($4545$⋥≓≎$5408$)","expression":"(⫖↰⪸365B-⫖↰⪸8BA)⪢(⫖↰⪸2769⋥≓≎⫖↰⪸3168)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6309,"operation_count":3,"complexity_ratio":2103.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6119,"base":12},"right_expr":{"type":"numeric_atoms","value":1294,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4545,"base":12},"right_expr":{"type":"numeric_atoms","value":5408,"base":12}}},"used_operators":["dWAJyo7jo9","rysDP5nf3Z","Qy55tPpLXF"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6119","layer":2},{"info":"number node, value=1294","layer":2},{"info":"compute binary expreesion, left_input=6119, right_input=1294, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4825","layer":1},{"info":"number node, value=4545","layer":2},{"info":"number node, value=5408","layer":2},{"info":"compute binary expreesion, left_input=4545, right_input=5408, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6304","layer":1},{"info":"compute binary expreesion, left_input=4825, right_input=6304, 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":12,"result_base":12,"text":"(⫖↰⪸365B-⫖↰⪸8BA)⪢(⫖↰⪸2769⋥≓≎⫖↰⪸3168)=NaN","reverse_text":"NaN=(⫖↰⪸365B-⫖↰⪸8BA)⪢(⫖↰⪸2769⋥≓≎⫖↰⪸3168)","cot":[{"info":"⫖↰⪸365B-⫖↰⪸8BA=⫖↰⪸2961","layer":1},{"info":"⫖↰⪸2769⋥≓≎⫖↰⪸3168=⫖↰⪸3794","layer":1},{"info":"⫖↰⪸2961⪢⫖↰⪸3794=NaN","layer":0}]}
+{"id":660,"expression_no_base_symbol":"($3596$≦≮≮)⪄($5933$⊪)","expression":"(⫖↰⪸20B8≦≮≮)⪄(⫖↰⪸3525⊪)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":129,"operation_count":3,"complexity_ratio":43.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3596,"base":12}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":5933,"base":12}}},"used_operators":["SUmda5xLS4","D4vGDi5EA2","zVYPLywUTj"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3596","layer":2},{"info":"compute unary expreesion, input=3596, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10788","layer":1},{"info":"number node, value=5933","layer":2},{"info":"compute unary expreesion, input=5933, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-10788, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸20B8≦≮≮)⪄(⫖↰⪸3525⊪)=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=(⫖↰⪸20B8≦≮≮)⪄(⫖↰⪸3525⊪)","cot":[{"info":"⫖↰⪸20B8≦≮≮=⫖↰⪸-62B0","layer":1},{"info":"⫖↰⪸3525⊪=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-62B0⪄⫖↰⪸0=⫖↰⪸2377","layer":0}]}
+{"id":661,"expression_no_base_symbol":"($5115$+$5396$)∸","expression":"(⫖↰⪸2B63+⫖↰⪸3158)∸","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":178,"operation_count":2,"complexity_ratio":89.0,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5115,"base":12},"right_expr":{"type":"numeric_atoms","value":5396,"base":12}}},"used_operators":["o20kRiQErp","W4YGzv6Whe"],"dependent_operators":["tmPS8pqC7x"],"result":"⫖↰⪸129","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5115","layer":2},{"info":"number node, value=5396","layer":2},{"info":"compute binary expreesion, left_input=5115, right_input=5396, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10511","layer":1},{"info":"compute unary expreesion, input=10511, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2B63+⫖↰⪸3158)∸=⫖↰⪸129","reverse_text":"⫖↰⪸129=(⫖↰⪸2B63+⫖↰⪸3158)∸","cot":[{"info":"⫖↰⪸2B63+⫖↰⪸3158=⫖↰⪸60BB","layer":1},{"info":"⫖↰⪸60BB∸=⫖↰⪸129","layer":0}]}
+{"id":662,"expression_no_base_symbol":"+⊝⨔($3444$⋝⋈⪟$8560$)","expression":"+⊝⨔(⫖↰⪸1BB0⋝⋈⪟⫖↰⪸4B54)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":43,"operation_count":2,"complexity_ratio":21.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3444,"base":12},"right_expr":{"type":"numeric_atoms","value":8560,"base":12}}},"used_operators":["DhbWaqg5eL","2DDjHMKMc0"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3444","layer":2},{"info":"number node, value=8560","layer":2},{"info":"compute binary expreesion, left_input=3444, right_input=8560, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3444","layer":1},{"info":"compute unary expreesion, input=3444, 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":12,"result_base":12,"text":"+⊝⨔(⫖↰⪸1BB0⋝⋈⪟⫖↰⪸4B54)=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔(⫖↰⪸1BB0⋝⋈⪟⫖↰⪸4B54)","cot":[{"info":"⫖↰⪸1BB0⋝⋈⪟⫖↰⪸4B54=⫖↰⪸1BB0","layer":1},{"info":"+⊝⨔⫖↰⪸1BB0=⫖↰⪸A6A","layer":0}]}
+{"id":663,"expression_no_base_symbol":"$1360$⨎$2491$⊭↱$1265$⫥∨⫟$4082$","expression":"⫖↰⪸954⨎⫖↰⪸1537⊭↱⫖↰⪸895⫥∨⫟⫖↰⪸2442","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":161,"operation_count":3,"complexity_ratio":53.666666666666664,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1360,"base":12},"right_expr":{"type":"numeric_atoms","value":2491,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1265,"base":12},"right_expr":{"type":"numeric_atoms","value":4082,"base":12}}},"used_operators":["COABgblf1C","rJVOvQCfKK","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1360","layer":2},{"info":"number node, value=2491","layer":2},{"info":"compute binary expreesion, left_input=1360, right_input=2491, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2491","layer":1},{"info":"number node, value=1265","layer":2},{"info":"number node, value=4082","layer":2},{"info":"compute binary expreesion, left_input=1265, right_input=4082, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2491, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸954⨎⫖↰⪸1537⊭↱⫖↰⪸895⫥∨⫟⫖↰⪸2442=NaN","reverse_text":"NaN=⫖↰⪸954⨎⫖↰⪸1537⊭↱⫖↰⪸895⫥∨⫟⫖↰⪸2442","cot":[{"info":"⫖↰⪸954⨎⫖↰⪸1537=⫖↰⪸1537","layer":1},{"info":"⫖↰⪸895⫥∨⫟⫖↰⪸2442=NaN","layer":1},{"info":"⫖↰⪸1537⊭↱NaN=NaN","layer":0}]}
+{"id":664,"expression_no_base_symbol":"(↩$2336$)≦≮≮","expression":"(↩⫖↰⪸1428)≦≮≮","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2336,"base":12}}},"used_operators":["D4vGDi5EA2","jLgFTUHLKL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⫖↰⪸23750","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2336","layer":2},{"info":"compute unary expreesion, input=2336, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-15908","layer":1},{"info":"compute unary expreesion, input=-15908, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=47724","layer":0}],"base":12,"result_base":12,"text":"(↩⫖↰⪸1428)≦≮≮=⫖↰⪸23750","reverse_text":"⫖↰⪸23750=(↩⫖↰⪸1428)≦≮≮","cot":[{"info":"↩⫖↰⪸1428=⫖↰⪸-9258","layer":1},{"info":"⫖↰⪸-9258≦≮≮=⫖↰⪸23750","layer":0}]}
+{"id":665,"expression_no_base_symbol":"⇁⨣⪵$1516$↙$1757$","expression":"⇁⨣⪵⫖↰⪸A64↙⫖↰⪸1025","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1761,"operation_count":2,"complexity_ratio":880.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1516,"base":12},"right_expr":{"type":"numeric_atoms","value":1757,"base":12}}},"used_operators":["inkyxCbjAn","yyfyN0ffXY"],"dependent_operators":["B5M0gjZbta","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1516","layer":2},{"info":"number node, value=1757","layer":2},{"info":"compute binary expreesion, left_input=1516, right_input=1757, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5271","layer":1},{"info":"compute unary expreesion, input=-5271, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⇁⨣⪵⫖↰⪸A64↙⫖↰⪸1025=NaN","reverse_text":"NaN=⇁⨣⪵⫖↰⪸A64↙⫖↰⪸1025","cot":[{"info":"⫖↰⪸A64↙⫖↰⪸1025=⫖↰⪸-3073","layer":1},{"info":"⇁⨣⪵⫖↰⪸-3073=NaN","layer":0}]}
+{"id":666,"expression_no_base_symbol":"($1536$⇋≉)⫩⊇","expression":"(⫖↰⪸A80⇋≉)⫩⊇","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1536,"base":12}}},"used_operators":["BjRHVeLaeN","XIabStNQrY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-1844","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1536","layer":2},{"info":"compute unary expreesion, input=1536, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2974","layer":1},{"info":"compute unary expreesion, input=2974, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2932","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A80⇋≉)⫩⊇=⫖↰⪸-1844","reverse_text":"⫖↰⪸-1844=(⫖↰⪸A80⇋≉)⫩⊇","cot":[{"info":"⫖↰⪸A80⇋≉=⫖↰⪸187A","layer":1},{"info":"⫖↰⪸187A⫩⊇=⫖↰⪸-1844","layer":0}]}
+{"id":667,"expression_no_base_symbol":"$3139$⨟⋌⩍$4494$⊭↱$1263$∀⇚≩$6932$","expression":"⫖↰⪸1997⨟⋌⩍⫖↰⪸2726⊭↱⫖↰⪸893∀⇚≩⫖↰⪸4018","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8848,"operation_count":3,"complexity_ratio":2949.3333333333335,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3139,"base":12},"right_expr":{"type":"numeric_atoms","value":4494,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1263,"base":12},"right_expr":{"type":"numeric_atoms","value":6932,"base":12}}},"used_operators":["COABgblf1C","rGHVDoGpnC","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3139","layer":2},{"info":"number node, value=4494","layer":2},{"info":"compute binary expreesion, left_input=3139, right_input=4494, 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=1263","layer":2},{"info":"number node, value=6932","layer":2},{"info":"compute binary expreesion, left_input=1263, right_input=6932, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1997⨟⋌⩍⫖↰⪸2726⊭↱⫖↰⪸893∀⇚≩⫖↰⪸4018=NaN","reverse_text":"NaN=⫖↰⪸1997⨟⋌⩍⫖↰⪸2726⊭↱⫖↰⪸893∀⇚≩⫖↰⪸4018","cot":[{"info":"⫖↰⪸1997⨟⋌⩍⫖↰⪸2726=NaN","layer":1},{"info":"⫖↰⪸893∀⇚≩⫖↰⪸4018=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
+{"id":668,"expression_no_base_symbol":"($3343$∧)⋷(⇁⨣⪵$1894$)","expression":"(⫖↰⪸1B27∧)⋷(⇁⨣⪵⫖↰⪸111A)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3343,"base":12}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1894,"base":12}}},"used_operators":["23Mk6UjR3U","z63VuFQld9","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3343","layer":2},{"info":"compute unary expreesion, input=3343, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"number node, value=1894","layer":2},{"info":"compute unary expreesion, input=1894, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1B27∧)⋷(⇁⨣⪵⫖↰⪸111A)=NaN","reverse_text":"NaN=(⫖↰⪸1B27∧)⋷(⇁⨣⪵⫖↰⪸111A)","cot":[{"info":"⫖↰⪸1B27∧=NaN","layer":1},{"info":"⇁⨣⪵⫖↰⪸111A=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
+{"id":669,"expression_no_base_symbol":"$1478$⪘⫢$3740$⨽($1005$%$1879$)","expression":"⫖↰⪸A32⪘⫢⫖↰⪸21B8⨽(⫖↰⪸6B9%⫖↰⪸1107)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2857,"operation_count":3,"complexity_ratio":952.3333333333334,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1478,"base":12},"right_expr":{"type":"numeric_atoms","value":3740,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1005,"base":12},"right_expr":{"type":"numeric_atoms","value":1879,"base":12}}},"used_operators":["8HhzD0ZcuI","oacrs7FA3X","k8jYdgA6NY"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z"],"result":"⫖↰⪸-8084B99","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1478","layer":2},{"info":"number node, value=3740","layer":2},{"info":"compute binary expreesion, left_input=1478, right_input=3740, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2832","layer":1},{"info":"number node, value=1005","layer":2},{"info":"number node, value=1879","layer":2},{"info":"compute binary expreesion, left_input=1005, right_input=1879, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1005","layer":1},{"info":"compute binary expreesion, left_input=2832, right_input=1005, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-24062373","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸A32⪘⫢⫖↰⪸21B8⨽(⫖↰⪸6B9%⫖↰⪸1107)=⫖↰⪸-8084B99","reverse_text":"⫖↰⪸-8084B99=⫖↰⪸A32⪘⫢⫖↰⪸21B8⨽(⫖↰⪸6B9%⫖↰⪸1107)","cot":[{"info":"⫖↰⪸A32⪘⫢⫖↰⪸21B8=⫖↰⪸1780","layer":1},{"info":"⫖↰⪸6B9%⫖↰⪸1107=⫖↰⪸6B9","layer":1},{"info":"⫖↰⪸1780⨽⫖↰⪸6B9=⫖↰⪸-8084B99","layer":0}]}
+{"id":670,"expression_no_base_symbol":"($1039$⨰$7999$)⨪↰⇹($1475$⊉≛↸$3515$)","expression":"(⫖↰⪸727⨰⫖↰⪸4767)⨪↰⇹(⫖↰⪸A2B⊉≛↸⫖↰⪸204B)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6958,"operation_count":3,"complexity_ratio":2319.3333333333335,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1039,"base":12},"right_expr":{"type":"numeric_atoms","value":7999,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1475,"base":12},"right_expr":{"type":"numeric_atoms","value":3515,"base":12}}},"used_operators":["tmPS8pqC7x","eewbuw0ToL","DZ8iAZOCBD"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-4032","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1039","layer":2},{"info":"number node, value=7999","layer":2},{"info":"compute binary expreesion, left_input=1039, right_input=7999, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-6950","layer":1},{"info":"number node, value=1475","layer":2},{"info":"number node, value=3515","layer":2},{"info":"compute binary expreesion, left_input=1475, right_input=3515, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2950","layer":1},{"info":"compute binary expreesion, left_input=-6950, right_input=2950, 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=-6950","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸727⨰⫖↰⪸4767)⨪↰⇹(⫖↰⪸A2B⊉≛↸⫖↰⪸204B)=⫖↰⪸-4032","reverse_text":"⫖↰⪸-4032=(⫖↰⪸727⨰⫖↰⪸4767)⨪↰⇹(⫖↰⪸A2B⊉≛↸⫖↰⪸204B)","cot":[{"info":"⫖↰⪸727⨰⫖↰⪸4767=⫖↰⪸-4032","layer":1},{"info":"⫖↰⪸A2B⊉≛↸⫖↰⪸204B=⫖↰⪸185A","layer":1},{"info":"⫖↰⪸-4032⨪↰⇹⫖↰⪸185A=⫖↰⪸-4032","layer":0}]}
+{"id":671,"expression_no_base_symbol":"($1655$⨽$1167$)≧⫂∧$2678$⊴$2203$","expression":"(⫖↰⪸B5B⨽⫖↰⪸813)≧⫂∧⫖↰⪸1672⊴⫖↰⪸1337","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6397,"operation_count":3,"complexity_ratio":2132.3333333333335,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1655,"base":12},"right_expr":{"type":"numeric_atoms","value":1167,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2678,"base":12},"right_expr":{"type":"numeric_atoms","value":2203,"base":12}}},"used_operators":["Ph9nP6C5qx","8HhzD0ZcuI","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1655","layer":2},{"info":"number node, value=1167","layer":2},{"info":"compute binary expreesion, left_input=1655, right_input=1167, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8219262","layer":1},{"info":"number node, value=2678","layer":2},{"info":"number node, value=2203","layer":2},{"info":"compute binary expreesion, left_input=2678, right_input=2203, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-8219262, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸B5B⨽⫖↰⪸813)≧⫂∧⫖↰⪸1672⊴⫖↰⪸1337=NaN","reverse_text":"NaN=(⫖↰⪸B5B⨽⫖↰⪸813)≧⫂∧⫖↰⪸1672⊴⫖↰⪸1337","cot":[{"info":"⫖↰⪸B5B⨽⫖↰⪸813=⫖↰⪸-2904626","layer":1},{"info":"⫖↰⪸1672⊴⫖↰⪸1337=NaN","layer":1},{"info":"⫖↰⪸-2904626≧⫂∧NaN=NaN","layer":0}]}
+{"id":672,"expression_no_base_symbol":"($1944$⨐⩸⫘$5111$)∼($7484$+$1025$)","expression":"(⫖↰⪸1160⨐⩸⫘⫖↰⪸2B5B)∼(⫖↰⪸43B8+⫖↰⪸715)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1944,"base":12},"right_expr":{"type":"numeric_atoms","value":5111,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7484,"base":12},"right_expr":{"type":"numeric_atoms","value":1025,"base":12}}},"used_operators":["DyGG3AbaNP","fu6greOZ01","W4YGzv6Whe"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1944","layer":2},{"info":"number node, value=5111","layer":2},{"info":"compute binary expreesion, left_input=1944, right_input=5111, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=7484","layer":2},{"info":"number node, value=1025","layer":2},{"info":"compute binary expreesion, left_input=7484, right_input=1025, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8509","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8509, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1160⨐⩸⫘⫖↰⪸2B5B)∼(⫖↰⪸43B8+⫖↰⪸715)=NaN","reverse_text":"NaN=(⫖↰⪸1160⨐⩸⫘⫖↰⪸2B5B)∼(⫖↰⪸43B8+⫖↰⪸715)","cot":[{"info":"⫖↰⪸1160⨐⩸⫘⫖↰⪸2B5B=NaN","layer":1},{"info":"⫖↰⪸43B8+⫖↰⪸715=⫖↰⪸4B11","layer":1},{"info":"NaN∼⫖↰⪸4B11=NaN","layer":0}]}
+{"id":673,"expression_no_base_symbol":"$3840$⨓$1052$≭($6468$⊉≛↸$1338$)","expression":"⫖↰⪸2280⨓⫖↰⪸738≭(⫖↰⪸38B0⊉≛↸⫖↰⪸936)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1061,"operation_count":3,"complexity_ratio":353.6666666666667,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3840,"base":12},"right_expr":{"type":"numeric_atoms","value":1052,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6468,"base":12},"right_expr":{"type":"numeric_atoms","value":1338,"base":12}}},"used_operators":["rxpJgHHUmx","3ViojmjbAp","DZ8iAZOCBD"],"dependent_operators":["AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3840","layer":2},{"info":"number node, value=1052","layer":2},{"info":"compute binary expreesion, left_input=3840, right_input=1052, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1055","layer":1},{"info":"number node, value=6468","layer":2},{"info":"number node, value=1338","layer":2},{"info":"compute binary expreesion, left_input=6468, right_input=1338, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12936","layer":1},{"info":"compute binary expreesion, left_input=-1055, right_input=12936, 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":12,"result_base":12,"text":"⫖↰⪸2280⨓⫖↰⪸738≭(⫖↰⪸38B0⊉≛↸⫖↰⪸936)=NaN","reverse_text":"NaN=⫖↰⪸2280⨓⫖↰⪸738≭(⫖↰⪸38B0⊉≛↸⫖↰⪸936)","cot":[{"info":"⫖↰⪸2280⨓⫖↰⪸738=⫖↰⪸-73B","layer":1},{"info":"⫖↰⪸38B0⊉≛↸⫖↰⪸936=⫖↰⪸75A0","layer":1},{"info":"⫖↰⪸-73B≭⫖↰⪸75A0=NaN","layer":0}]}
+{"id":674,"expression_no_base_symbol":"(⨞⊢$2413$)⪄(≦∁$2221$)","expression":"(⨞⊢⫖↰⪸1491)⪄(≦∁⫖↰⪸1351)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":96,"operation_count":3,"complexity_ratio":32.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2413,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2221,"base":12}}},"used_operators":["SUmda5xLS4","xUOZtlo3hN","9ICcGScMcE"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2413","layer":2},{"info":"compute unary expreesion, input=2413, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2587","layer":1},{"info":"number node, value=2221","layer":2},{"info":"compute unary expreesion, input=2221, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2221","layer":1},{"info":"compute binary expreesion, left_input=-2587, right_input=2221, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":12,"result_base":12,"text":"(⨞⊢⫖↰⪸1491)⪄(≦∁⫖↰⪸1351)=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=(⨞⊢⫖↰⪸1491)⪄(≦∁⫖↰⪸1351)","cot":[{"info":"⨞⊢⫖↰⪸1491=⫖↰⪸-15B7","layer":1},{"info":"≦∁⫖↰⪸1351=⫖↰⪸1351","layer":1},{"info":"⫖↰⪸-15B7⪄⫖↰⪸1351=⫖↰⪸2377","layer":0}]}
+{"id":675,"expression_no_base_symbol":"($8387$⫡⨏$2382$)⫸⊐($4790$⩤)","expression":"(⫖↰⪸4A2B⫡⨏⫖↰⪸1466)⫸⊐(⫖↰⪸2932⩤)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30,"operation_count":3,"complexity_ratio":10.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8387,"base":12},"right_expr":{"type":"numeric_atoms","value":2382,"base":12}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":4790,"base":12}}},"used_operators":["mqXw5SEYmG","QMFrweE19q","Z2TMIBDE3Q"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-5751","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8387","layer":2},{"info":"number node, value=2382","layer":2},{"info":"compute binary expreesion, left_input=8387, right_input=2382, 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=47482","layer":1},{"info":"number node, value=4790","layer":2},{"info":"compute unary expreesion, input=4790, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4790","layer":1},{"info":"compute binary expreesion, left_input=47482, right_input=-4790, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-9709","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸4A2B⫡⨏⫖↰⪸1466)⫸⊐(⫖↰⪸2932⩤)=⫖↰⪸-5751","reverse_text":"⫖↰⪸-5751=(⫖↰⪸4A2B⫡⨏⫖↰⪸1466)⫸⊐(⫖↰⪸2932⩤)","cot":[{"info":"⫖↰⪸4A2B⫡⨏⫖↰⪸1466=⫖↰⪸2358A","layer":1},{"info":"⫖↰⪸2932⩤=⫖↰⪸-2932","layer":1},{"info":"⫖↰⪸2358A⫸⊐⫖↰⪸-2932=⫖↰⪸-5751","layer":0}]}
+{"id":676,"expression_no_base_symbol":"$1833$⪮%⊝$2321$⨽(⪲⇎$4245$)","expression":"⫖↰⪸1089⪮%⊝⫖↰⪸1415⨽(⪲⇎⫖↰⪸2559)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4002,"operation_count":3,"complexity_ratio":1334.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1833,"base":12},"right_expr":{"type":"numeric_atoms","value":2321,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4245,"base":12}}},"used_operators":["8HhzD0ZcuI","IWmyXbctLI","XPYlsWDdGa"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-13B323A0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1833","layer":2},{"info":"number node, value=2321","layer":2},{"info":"compute binary expreesion, left_input=1833, right_input=2321, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3982","layer":1},{"info":"number node, value=4245","layer":2},{"info":"compute unary expreesion, input=4245, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8490","layer":1},{"info":"compute binary expreesion, left_input=3982, right_input=8490, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-47593128","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1089⪮%⊝⫖↰⪸1415⨽(⪲⇎⫖↰⪸2559)=⫖↰⪸-13B323A0","reverse_text":"⫖↰⪸-13B323A0=⫖↰⪸1089⪮%⊝⫖↰⪸1415⨽(⪲⇎⫖↰⪸2559)","cot":[{"info":"⫖↰⪸1089⪮%⊝⫖↰⪸1415=⫖↰⪸237A","layer":1},{"info":"⪲⇎⫖↰⪸2559=⫖↰⪸4AB6","layer":1},{"info":"⫖↰⪸237A⨽⫖↰⪸4AB6=⫖↰⪸-13B323A0","layer":0}]}
+{"id":677,"expression_no_base_symbol":"$1001$⨎$1056$⨵⪆$2061$⪛$2211$","expression":"⫖↰⪸6B5⨎⫖↰⪸740⨵⪆⫖↰⪸1239⪛⫖↰⪸1343","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1001,"base":12},"right_expr":{"type":"numeric_atoms","value":1056,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2061,"base":12},"right_expr":{"type":"numeric_atoms","value":2211,"base":12}}},"used_operators":["2DQ55sFlQl","rJVOvQCfKK","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1001","layer":2},{"info":"number node, value=1056","layer":2},{"info":"compute binary expreesion, left_input=1001, right_input=1056, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1056","layer":1},{"info":"number node, value=2061","layer":2},{"info":"number node, value=2211","layer":2},{"info":"compute binary expreesion, left_input=2061, right_input=2211, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2061","layer":1},{"info":"compute binary expreesion, left_input=1056, right_input=2061, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸6B5⨎⫖↰⪸740⨵⪆⫖↰⪸1239⪛⫖↰⪸1343=⫖↰⪸114","reverse_text":"⫖↰⪸114=⫖↰⪸6B5⨎⫖↰⪸740⨵⪆⫖↰⪸1239⪛⫖↰⪸1343","cot":[{"info":"⫖↰⪸6B5⨎⫖↰⪸740=⫖↰⪸740","layer":1},{"info":"⫖↰⪸1239⪛⫖↰⪸1343=⫖↰⪸1239","layer":1},{"info":"⫖↰⪸740⨵⪆⫖↰⪸1239=⫖↰⪸114","layer":0}]}
+{"id":678,"expression_no_base_symbol":"(⨰⫟⨤$5472$)⪄(⪲⇎$1879$)","expression":"(⨰⫟⨤⫖↰⪸3200)⪄(⪲⇎⫖↰⪸1107)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21072,"operation_count":3,"complexity_ratio":7024.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5472,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1879,"base":12}}},"used_operators":["SUmda5xLS4","Tw270M8GLb","XPYlsWDdGa"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5472","layer":2},{"info":"compute unary expreesion, input=5472, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1879","layer":2},{"info":"compute unary expreesion, input=1879, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3758","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3758, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":12,"result_base":12,"text":"(⨰⫟⨤⫖↰⪸3200)⪄(⪲⇎⫖↰⪸1107)=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=(⨰⫟⨤⫖↰⪸3200)⪄(⪲⇎⫖↰⪸1107)","cot":[{"info":"⨰⫟⨤⫖↰⪸3200=NaN","layer":1},{"info":"⪲⇎⫖↰⪸1107=⫖↰⪸2212","layer":1},{"info":"NaN⪄⫖↰⪸2212=⫖↰⪸2377","layer":0}]}
+{"id":679,"expression_no_base_symbol":"($1009$≎⊠⪸$5744$)⪢($3623$⨓$2260$)","expression":"(⫖↰⪸701≎⊠⪸⫖↰⪸33A8)⪢(⫖↰⪸211B⨓⫖↰⪸1384)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6720,"operation_count":3,"complexity_ratio":2240.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1009,"base":12},"right_expr":{"type":"numeric_atoms","value":5744,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3623,"base":12},"right_expr":{"type":"numeric_atoms","value":2260,"base":12}}},"used_operators":["dWAJyo7jo9","bJkvcejdHO","3ViojmjbAp"],"dependent_operators":["k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1009","layer":2},{"info":"number node, value=5744","layer":2},{"info":"compute binary expreesion, left_input=1009, right_input=5744, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=260858","layer":1},{"info":"number node, value=3623","layer":2},{"info":"number node, value=2260","layer":2},{"info":"compute binary expreesion, left_input=3623, right_input=2260, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2263","layer":1},{"info":"compute binary expreesion, left_input=260858, right_input=-2263, 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":12,"result_base":12,"text":"(⫖↰⪸701≎⊠⪸⫖↰⪸33A8)⪢(⫖↰⪸211B⨓⫖↰⪸1384)=NaN","reverse_text":"NaN=(⫖↰⪸701≎⊠⪸⫖↰⪸33A8)⪢(⫖↰⪸211B⨓⫖↰⪸1384)","cot":[{"info":"⫖↰⪸701≎⊠⪸⫖↰⪸33A8=⫖↰⪸106B62","layer":1},{"info":"⫖↰⪸211B⨓⫖↰⪸1384=⫖↰⪸-1387","layer":1},{"info":"⫖↰⪸106B62⪢⫖↰⪸-1387=NaN","layer":0}]}
+{"id":680,"expression_no_base_symbol":"$4182$⨟⋌⩍$3526$⋳⪒$2750$⪮%⊝$2294$","expression":"⫖↰⪸2506⨟⋌⩍⫖↰⪸205A⋳⪒⫖↰⪸1712⪮%⊝⫖↰⪸13B2","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":17,"operation_count":3,"complexity_ratio":5.666666666666667,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4182,"base":12},"right_expr":{"type":"numeric_atoms","value":3526,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2750,"base":12},"right_expr":{"type":"numeric_atoms","value":2294,"base":12}}},"used_operators":["12rbrZMWeM","rGHVDoGpnC","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4182","layer":2},{"info":"number node, value=3526","layer":2},{"info":"compute binary expreesion, left_input=4182, right_input=3526, 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=2750","layer":2},{"info":"number node, value=2294","layer":2},{"info":"compute binary expreesion, left_input=2750, right_input=2294, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5816","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5816, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2506⨟⋌⩍⫖↰⪸205A���⪒⫖↰⪸1712⪮%⊝⫖↰⪸13B2=NaN","reverse_text":"NaN=⫖↰⪸2506⨟⋌⩍⫖↰⪸205A⋳⪒⫖↰⪸1712⪮%⊝⫖↰⪸13B2","cot":[{"info":"⫖↰⪸2506⨟⋌⩍⫖↰⪸205A=NaN","layer":1},{"info":"⫖↰⪸1712⪮%⊝⫖↰⪸13B2=⫖↰⪸3448","layer":1},{"info":"NaN⋳⪒⫖↰⪸3448=NaN","layer":0}]}
+{"id":681,"expression_no_base_symbol":"($3171$∧)+$1423$⊭↱$1547$","expression":"(⫖↰⪸1A03∧)+⫖↰⪸9A7⊭↱⫖↰⪸A8B","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3171,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1423,"base":12},"right_expr":{"type":"numeric_atoms","value":1547,"base":12}}},"used_operators":["W4YGzv6Whe","z63VuFQld9","COABgblf1C"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3171","layer":2},{"info":"compute unary expreesion, input=3171, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"number node, value=1423","layer":2},{"info":"number node, value=1547","layer":2},{"info":"compute binary expreesion, left_input=1423, right_input=1547, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=253","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=253, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1A03∧)+⫖↰⪸9A7⊭↱⫖↰⪸A8B=NaN","reverse_text":"NaN=(⫖↰⪸1A03∧)+⫖↰⪸9A7⊭↱⫖↰⪸A8B","cot":[{"info":"⫖↰⪸1A03∧=NaN","layer":1},{"info":"⫖↰⪸9A7⊭↱⫖↰⪸A8B=⫖↰⪸191","layer":1},{"info":"NaN+⫖↰⪸191=NaN","layer":0}]}
+{"id":682,"expression_no_base_symbol":"($1568$*$5773$)↙($4100$↙$2383$)","expression":"(⫖↰⪸AA8*⫖↰⪸3411)↙(⫖↰⪸2458↙⫖↰⪸1467)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11106,"operation_count":3,"complexity_ratio":3702.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1568,"base":12},"right_expr":{"type":"numeric_atoms","value":5773,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4100,"base":12},"right_expr":{"type":"numeric_atoms","value":2383,"base":12}}},"used_operators":["yyfyN0ffXY","9HNa5Wba9A"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸-104B3","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1568","layer":2},{"info":"number node, value=5773","layer":2},{"info":"compute binary expreesion, left_input=1568, right_input=5773, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9052064","layer":1},{"info":"number node, value=4100","layer":2},{"info":"number node, value=2383","layer":2},{"info":"compute binary expreesion, left_input=4100, right_input=2383, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7149","layer":1},{"info":"compute binary expreesion, left_input=9052064, right_input=-7149, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-21447","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸AA8*⫖↰⪸3411)↙(⫖↰⪸2458↙⫖↰⪸1467)=⫖↰⪸-104B3","reverse_text":"⫖↰⪸-104B3=(⫖↰⪸AA8*⫖↰⪸3411)↙(⫖↰⪸2458↙⫖↰⪸1467)","cot":[{"info":"⫖↰⪸AA8*⫖↰⪸3411=⫖↰⪸3046568","layer":1},{"info":"⫖↰⪸2458↙⫖↰⪸1467=⫖↰⪸-4179","layer":1},{"info":"⫖↰⪸3046568↙⫖↰⪸-4179=⫖↰⪸-104B3","layer":0}]}
+{"id":683,"expression_no_base_symbol":"$1905$⩷∴$1089$⊉≛↸($3460$⪨≂$6514$)","expression":"⫖↰⪸1129⩷∴⫖↰⪸769⊉≛↸(⫖↰⪸2004⪨≂⫖↰⪸392A)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1905,"base":12},"right_expr":{"type":"numeric_atoms","value":1089,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3460,"base":12},"right_expr":{"type":"numeric_atoms","value":6514,"base":12}}},"used_operators":["DZ8iAZOCBD","9FxExcQeMw","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸1A28","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1905","layer":2},{"info":"number node, value=1089","layer":2},{"info":"compute binary expreesion, left_input=1905, right_input=1089, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1600","layer":1},{"info":"number node, value=3460","layer":2},{"info":"number node, value=6514","layer":2},{"info":"compute binary expreesion, left_input=3460, right_input=6514, 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=-6006","layer":1},{"info":"compute binary expreesion, left_input=1600, right_input=-6006, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3200","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1129⩷∴⫖↰⪸769⊉≛↸(⫖↰⪸2004⪨≂⫖↰⪸392A)=⫖↰⪸1A28","reverse_text":"⫖↰⪸1A28=⫖↰⪸1129⩷∴⫖↰⪸769⊉≛↸(⫖↰⪸2004⪨≂⫖↰⪸392A)","cot":[{"info":"⫖↰⪸1129⩷∴⫖↰⪸769=⫖↰⪸B14","layer":1},{"info":"⫖↰⪸2004⪨≂⫖↰⪸392A=⫖↰⪸-3586","layer":1},{"info":"⫖↰⪸B14⊉≛↸⫖↰⪸-3586=⫖↰⪸1A28","layer":0}]}
+{"id":684,"expression_no_base_symbol":"⊄⩳↩($4113$⊉≛↸$2289$)","expression":"⊄⩳↩(⫖↰⪸2469⊉≛↸⫖↰⪸13A9)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4113,"base":12},"right_expr":{"type":"numeric_atoms","value":2289,"base":12}}},"used_operators":["8w2t5hMYqp","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-12346","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4113","layer":2},{"info":"number node, value=2289","layer":2},{"info":"compute binary expreesion, left_input=4113, right_input=2289, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8226","layer":1},{"info":"compute unary expreesion, input=8226, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-24678","layer":0}],"base":12,"result_base":12,"text":"⊄⩳↩(⫖↰⪸2469⊉≛↸⫖↰⪸13A9)=⫖↰⪸-12346","reverse_text":"⫖↰⪸-12346=⊄⩳↩(⫖↰⪸2469⊉≛↸⫖↰⪸13A9)","cot":[{"info":"⫖↰⪸2469⊉≛↸⫖↰⪸13A9=⫖↰⪸4916","layer":1},{"info":"⊄⩳↩⫖↰⪸4916=⫖↰⪸-12346","layer":0}]}
+{"id":685,"expression_no_base_symbol":"(↩$1612$)⪮%⊝($5644$%$7160$)","expression":"(↩⫖↰⪸B24)⪮%⊝(⫖↰⪸3324%⫖↰⪸4188)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1612,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5644,"base":12},"right_expr":{"type":"numeric_atoms","value":7160,"base":12}}},"used_operators":["IWmyXbctLI","jLgFTUHLKL","k8jYdgA6NY"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z"],"result":"⫖↰⪸-B638","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1612","layer":2},{"info":"compute unary expreesion, input=1612, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-10116","layer":1},{"info":"number node, value=5644","layer":2},{"info":"number node, value=7160","layer":2},{"info":"compute binary expreesion, left_input=5644, right_input=7160, op_id = k8jYdgA6NY binary_op_definition= 'None', output=5644","layer":1},{"info":"compute binary expreesion, left_input=-10116, right_input=5644, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-19916","layer":0}],"base":12,"result_base":12,"text":"(↩⫖↰⪸B24)⪮%⊝(⫖↰⪸3324%⫖↰⪸4188)=⫖↰⪸-B638","reverse_text":"⫖↰⪸-B638=(↩⫖↰⪸B24)⪮%⊝(⫖↰⪸3324%⫖↰⪸4188)","cot":[{"info":"↩⫖↰⪸B24=⫖↰⪸-5A30","layer":1},{"info":"⫖↰⪸3324%⫖↰⪸4188=⫖↰⪸3324","layer":1},{"info":"⫖↰⪸-5A30⪮%⊝⫖↰⪸3324=⫖↰⪸-B638","layer":0}]}
+{"id":686,"expression_no_base_symbol":"($6925$↙$1755$)∑⇟⊟($2970$∧)","expression":"(⫖↰⪸4011↙⫖↰⪸1023)∑⇟⊟(⫖↰⪸1876∧)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1765,"operation_count":3,"complexity_ratio":588.3333333333334,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6925,"base":12},"right_expr":{"type":"numeric_atoms","value":1755,"base":12}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2970,"base":12}}},"used_operators":["U7g4x0WXJJ","yyfyN0ffXY","z63VuFQld9"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6925","layer":2},{"info":"number node, value=1755","layer":2},{"info":"compute binary expreesion, left_input=6925, right_input=1755, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5265","layer":1},{"info":"number node, value=2970","layer":2},{"info":"compute unary expreesion, input=2970, 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=-5265, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸4011↙⫖↰⪸1023)∑⇟⊟(⫖↰⪸1876∧)=NaN","reverse_text":"NaN=(⫖↰⪸4011↙⫖↰⪸1023)∑⇟⊟(⫖↰⪸1876∧)","cot":[{"info":"⫖↰⪸4011↙⫖↰⪸1023=⫖↰⪸-3069","layer":1},{"info":"⫖↰⪸1876∧=NaN","layer":1},{"info":"⫖↰⪸-3069∑⇟⊟NaN=NaN","layer":0}]}
+{"id":687,"expression_no_base_symbol":"(∥⊫$5415$)⋝⋈⪟(≉$2043$)","expression":"(∥⊫⫖↰⪸3173)⋝⋈⪟(≉⫖↰⪸1223)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5415,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2043,"base":12}}},"used_operators":["2DDjHMKMc0","P8v4zCKN1o","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸3777","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5415","layer":2},{"info":"compute unary expreesion, input=5415, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6283","layer":1},{"info":"number node, value=2043","layer":2},{"info":"compute unary expreesion, input=2043, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2574","layer":1},{"info":"compute binary expreesion, left_input=6283, right_input=2574, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6283","layer":0}],"base":12,"result_base":12,"text":"(∥⊫⫖↰⪸3173)⋝⋈⪟(≉⫖↰⪸1223)=⫖↰⪸3777","reverse_text":"⫖↰⪸3777=(∥⊫⫖↰⪸3173)⋝⋈⪟(≉⫖↰⪸1223)","cot":[{"info":"∥⊫⫖↰⪸3173=⫖↰⪸3777","layer":1},{"info":"≉⫖↰⪸1223=⫖↰⪸15A6","layer":1},{"info":"⫖↰⪸3777⋝⋈⪟⫖↰⪸15A6=⫖↰⪸3777","layer":0}]}
+{"id":688,"expression_no_base_symbol":"(⨑⩽⪐$1632$)⋫","expression":"(⨑⩽⪐⫖↰⪸B40)⋫","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1363,"operation_count":2,"complexity_ratio":681.5,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1632,"base":12}}},"used_operators":["JL8yIekQnl","AF7qkfDlqP"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫖↰⪸953","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1632","layer":2},{"info":"compute unary expreesion, input=1632, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1359","layer":1},{"info":"compute unary expreesion, input=-1359, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1359","layer":0}],"base":12,"result_base":12,"text":"(⨑⩽⪐⫖↰⪸B40)⋫=⫖↰⪸953","reverse_text":"⫖↰⪸953=(⨑⩽⪐⫖↰⪸B40)⋫","cot":[{"info":"⨑⩽⪐⫖↰⪸B40=⫖↰⪸-953","layer":1},{"info":"⫖↰⪸-953⋫=⫖↰⪸953","layer":0}]}
+{"id":689,"expression_no_base_symbol":"$2616$⋝⋈⪟$3921$⨳⩥⨓($6168$≫≃)","expression":"⫖↰⪸1620⋝⋈⪟⫖↰⪸2329⨳⩥⨓(⫖↰⪸36A0≫≃)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2616,"base":12},"right_expr":{"type":"numeric_atoms","value":3921,"base":12}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":6168,"base":12}}},"used_operators":["nCS4ZIUYfx","2DDjHMKMc0","X99M06cbEe"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⫖↰⪸6529","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2616","layer":2},{"info":"number node, value=3921","layer":2},{"info":"compute binary expreesion, left_input=2616, right_input=3921, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2616","layer":1},{"info":"number node, value=6168","layer":2},{"info":"compute unary expreesion, input=6168, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13737","layer":1},{"info":"compute binary expreesion, left_input=2616, right_input=13737, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=11121","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1620⋝⋈⪟⫖↰⪸2329⨳⩥⨓(⫖↰⪸36A0≫≃)=⫖↰⪸6529","reverse_text":"⫖↰⪸6529=⫖↰⪸1620⋝⋈⪟⫖↰⪸2329⨳⩥⨓(⫖↰⪸36A0≫≃)","cot":[{"info":"⫖↰⪸1620⋝⋈⪟⫖↰⪸2329=⫖↰⪸1620","layer":1},{"info":"⫖↰⪸36A0≫≃=⫖↰⪸7B49","layer":1},{"info":"⫖↰⪸1620⨳⩥⨓⫖↰⪸7B49=⫖↰⪸6529","layer":0}]}
+{"id":690,"expression_no_base_symbol":"$1096$⪮%⊝$1520$∑⇟⊟(⫓⪴$2621$)","expression":"⫖↰⪸774⪮%⊝⫖↰⪸A68∑⇟⊟(⫓⪴⫖↰⪸1625)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2631,"operation_count":3,"complexity_ratio":877.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1096,"base":12},"right_expr":{"type":"numeric_atoms","value":1520,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2621,"base":12}}},"used_operators":["U7g4x0WXJJ","IWmyXbctLI","eLxqMNBOBk"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1096","layer":2},{"info":"number node, value=1520","layer":2},{"info":"compute binary expreesion, left_input=1096, right_input=1520, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2508","layer":1},{"info":"number node, value=2621","layer":2},{"info":"compute unary expreesion, input=2621, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=6869641","layer":1},{"info":"compute binary expreesion, left_input=2508, right_input=6869641, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸774⪮%⊝⫖↰⪸A68∑⇟⊟(⫓⪴⫖↰⪸1625)=NaN","reverse_text":"NaN=⫖↰⪸774⪮%⊝⫖↰⪸A68∑⇟⊟(⫓⪴⫖↰⪸1625)","cot":[{"info":"⫖↰⪸774⪮%⊝⫖↰⪸A68=⫖↰⪸1550","layer":1},{"info":"⫓⪴⫖↰⪸1625=⫖↰⪸23735A1","layer":1},{"info":"⫖↰⪸1550∑⇟⊟⫖↰⪸23735A1=NaN","layer":0}]}
+{"id":691,"expression_no_base_symbol":"$1866$∑⇟⊟$4454$⊠≄⫣","expression":"⫖↰⪸10B6∑⇟⊟⫖↰⪸26B2⊠≄⫣","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1866,"base":12},"right_expr":{"type":"numeric_atoms","value":4454,"base":12}}},"used_operators":["DIvbN7qnHd","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1866","layer":2},{"info":"number node, value=4454","layer":2},{"info":"compute binary expreesion, left_input=1866, right_input=4454, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸10B6∑⇟⊟⫖↰⪸26B2⊠≄⫣=NaN","reverse_text":"NaN=⫖↰⪸10B6∑⇟⊟⫖↰⪸26B2⊠≄⫣","cot":[{"info":"⫖↰⪸10B6∑⇟⊟⫖↰⪸26B2=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
+{"id":692,"expression_no_base_symbol":"($2296$*$6811$)+⇶⊼$2890$⪘⫢$1816$","expression":"(⫖↰⪸13B4*⫖↰⪸3B37)+⇶⊼⫖↰⪸180A⪘⫢⫖↰⪸1074","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2312,"operation_count":3,"complexity_ratio":770.6666666666666,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2296,"base":12},"right_expr":{"type":"numeric_atoms","value":6811,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2890,"base":12},"right_expr":{"type":"numeric_atoms","value":1816,"base":12}}},"used_operators":["TpPTUOHfaN","9HNa5Wba9A","oacrs7FA3X"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2296","layer":2},{"info":"number node, value=6811","layer":2},{"info":"compute binary expreesion, left_input=2296, right_input=6811, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15638056","layer":1},{"info":"number node, value=2890","layer":2},{"info":"number node, value=1816","layer":2},{"info":"compute binary expreesion, left_input=2890, right_input=1816, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5656","layer":1},{"info":"compute binary expreesion, left_input=15638056, right_input=5656, 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":12,"result_base":12,"text":"(⫖↰⪸13B4*⫖↰⪸3B37)+⇶⊼⫖↰⪸180A⪘⫢⫖↰⪸1074=NaN","reverse_text":"NaN=(⫖↰⪸13B4*⫖↰⪸3B37)+⇶⊼⫖↰⪸180A⪘⫢⫖↰⪸1074","cot":[{"info":"⫖↰⪸13B4*⫖↰⪸3B37=⫖↰⪸52A1974","layer":1},{"info":"⫖↰⪸180A⪘⫢⫖↰⪸1074=⫖↰⪸3334","layer":1},{"info":"⫖↰⪸52A1974+⇶⊼⫖↰⪸3334=NaN","layer":0}]}
+{"id":693,"expression_no_base_symbol":"(↽≂$1168$)⩨(∂$1164$)","expression":"(↽≂⫖↰⪸814)⩨(∂⫖↰⪸810)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1168,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1164,"base":12}}},"used_operators":["2DlMacCsIx","u6S6b8DprG","Uaa54Peajs"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1168","layer":2},{"info":"compute unary expreesion, input=1168, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2336","layer":1},{"info":"number node, value=1164","layer":2},{"info":"compute unary expreesion, input=1164, 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=-2336, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↽≂⫖↰⪸814)⩨(∂⫖↰⪸810)=NaN","reverse_text":"NaN=(↽≂⫖↰⪸814)⩨(∂⫖↰⪸810)","cot":[{"info":"↽≂⫖↰⪸814=⫖↰⪸-1428","layer":1},{"info":"∂⫖↰⪸810=NaN","layer":1},{"info":"⫖↰⪸-1428⩨NaN=NaN","layer":0}]}
+{"id":694,"expression_no_base_symbol":"(⨰⫟⨤$7862$)≎⊠⪸$3640$⨟⋌⩍$1002$","expression":"(⨰⫟⨤⫖↰⪸4672)≎⊠⪸⫖↰⪸2134⨟⋌⩍⫖↰⪸6B6","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30620,"operation_count":3,"complexity_ratio":10206.666666666666,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":7862,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3640,"base":12},"right_expr":{"type":"numeric_atoms","value":1002,"base":12}}},"used_operators":["bJkvcejdHO","Tw270M8GLb","rGHVDoGpnC"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Tcnh7f0tEr"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7862","layer":2},{"info":"compute unary expreesion, input=7862, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=3640","layer":2},{"info":"number node, value=1002","layer":2},{"info":"compute binary expreesion, left_input=3640, right_input=1002, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⨰⫟⨤⫖↰⪸4672)≎⊠⪸⫖↰⪸2134⨟⋌⩍⫖↰⪸6B6=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⨰⫟⨤⫖↰⪸4672)≎⊠⪸⫖↰⪸2134⨟⋌⩍⫖↰⪸6B6","cot":[{"info":"⨰⫟⨤⫖↰⪸4672=NaN","layer":1},{"info":"⫖↰⪸2134⨟⋌⩍⫖↰⪸6B6=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⫖↰⪸57","layer":0}]}
+{"id":695,"expression_no_base_symbol":"(⊙↵-$2833$)⨸⪁(≦∁$1818$)","expression":"(⊙↵-⫖↰⪸1781)⨸⪁(≦∁⫖↰⪸1076)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2883,"operation_count":3,"complexity_ratio":961.0,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2833,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1818,"base":12}}},"used_operators":["g55IO6H4Gj","oWn0xqSxBt","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫖↰⪸212A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2833","layer":2},{"info":"compute unary expreesion, input=2833, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=1818","layer":2},{"info":"compute unary expreesion, input=1818, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1818","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=1818, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=3634","layer":0}],"base":12,"result_base":12,"text":"(⊙↵-⫖↰⪸1781)⨸⪁(≦∁⫖↰⪸1076)=⫖↰⪸212A","reverse_text":"⫖↰⪸212A=(⊙↵-⫖↰⪸1781)⨸⪁(≦∁⫖↰⪸1076)","cot":[{"info":"⊙↵-⫖↰⪸1781=⫖↰⪸-1","layer":1},{"info":"≦∁⫖↰⪸1076=⫖↰⪸1076","layer":1},{"info":"⫖↰⪸-1⨸⪁⫖↰⪸1076=⫖↰⪸212A","layer":0}]}
+{"id":696,"expression_no_base_symbol":"($2015$⩨$1284$)∑⇟⊟(≤/$1876$)","expression":"(⫖↰⪸11BB⩨⫖↰⪸8B0)∑⇟⊟(≤/⫖↰⪸1104)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2015,"base":12},"right_expr":{"type":"numeric_atoms","value":1284,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1876,"base":12}}},"used_operators":["U7g4x0WXJJ","2DlMacCsIx","eLAdDNolq6"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2015","layer":2},{"info":"number node, value=1284","layer":2},{"info":"compute binary expreesion, left_input=2015, right_input=1284, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=1876","layer":2},{"info":"compute unary expreesion, input=1876, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1392","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1392, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸11BB⩨⫖↰⪸8B0)∑⇟⊟(≤/⫖↰⪸1104)=NaN","reverse_text":"NaN=(⫖↰⪸11BB⩨⫖↰⪸8B0)∑⇟⊟(≤/⫖↰⪸1104)","cot":[{"info":"⫖↰⪸11BB⩨⫖↰⪸8B0=⫖↰⪸0","layer":1},{"info":"≤/⫖↰⪸1104=⫖↰⪸-980","layer":1},{"info":"⫖↰⪸0∑⇟⊟⫖↰⪸-980=NaN","layer":0}]}
+{"id":697,"expression_no_base_symbol":"(↽≂$1086$)⋫","expression":"(↽≂⫖↰⪸766)⋫","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2175,"operation_count":2,"complexity_ratio":1087.5,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1086,"base":12}}},"used_operators":["JL8yIekQnl","u6S6b8DprG"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-1310","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1086","layer":2},{"info":"compute unary expreesion, input=1086, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2172","layer":1},{"info":"compute unary expreesion, input=-2172, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-2172","layer":0}],"base":12,"result_base":12,"text":"(↽≂⫖↰⪸766)⋫=⫖↰⪸-1310","reverse_text":"⫖↰⪸-1310=(↽≂⫖↰⪸766)⋫","cot":[{"info":"↽≂⫖↰⪸766=⫖↰⪸-1310","layer":1},{"info":"⫖↰⪸-1310⋫=⫖↰⪸-1310","layer":0}]}
+{"id":698,"expression_no_base_symbol":"($7311$⨸⪁$2126$)≧⫂∧($1190$⋥≓≎$3376$)","expression":"(⫖↰⪸4293⨸⪁⫖↰⪸1292)≧⫂∧(⫖↰⪸832⋥≓≎⫖↰⪸1B54)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7311,"base":12},"right_expr":{"type":"numeric_atoms","value":2126,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1190,"base":12},"right_expr":{"type":"numeric_atoms","value":3376,"base":12}}},"used_operators":["Ph9nP6C5qx","g55IO6H4Gj","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸2B6A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7311","layer":2},{"info":"number node, value=2126","layer":2},{"info":"compute binary expreesion, left_input=7311, right_input=2126, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18874","layer":1},{"info":"number node, value=1190","layer":2},{"info":"number node, value=3376","layer":2},{"info":"compute binary expreesion, left_input=1190, right_input=3376, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5595","layer":1},{"info":"compute binary expreesion, left_input=18874, right_input=5595, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5122","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸4293⨸⪁⫖↰⪸1292)≧⫂∧(⫖↰⪸832⋥≓≎⫖↰⪸1B54)=⫖↰⪸2B6A","reverse_text":"⫖↰⪸2B6A=(⫖↰⪸4293⨸⪁⫖↰⪸1292)≧⫂∧(⫖↰⪸832⋥≓≎⫖↰⪸1B54)","cot":[{"info":"⫖↰⪸4293⨸⪁⫖↰⪸1292=⫖↰⪸AB0A","layer":1},{"info":"⫖↰⪸832⋥≓≎⫖↰⪸1B54=⫖↰⪸32A3","layer":1},{"info":"⫖↰⪸AB0A≧⫂∧⫖↰⪸32A3=⫖↰⪸2B6A","layer":0}]}
+{"id":699,"expression_no_base_symbol":"$1037$≧⫂∧$6602$%(⊄⩳↩$3204$)","expression":"⫖↰⪸725≧⫂∧⫖↰⪸39A2%(⊄⩳↩⫖↰⪸1A30)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1037,"base":12},"right_expr":{"type":"numeric_atoms","value":6602,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3204,"base":12}}},"used_operators":["k8jYdgA6NY","Ph9nP6C5qx","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-2023","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":2},{"info":"number node, value=6602","layer":2},{"info":"compute binary expreesion, left_input=1037, right_input=6602, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6129","layer":1},{"info":"number node, value=3204","layer":2},{"info":"compute unary expreesion, input=3204, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9612","layer":1},{"info":"compute binary expreesion, left_input=6129, right_input=-9612, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-3483","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸725≧⫂∧⫖↰⪸39A2%(⊄⩳↩⫖↰⪸1A30)=⫖↰⪸-2023","reverse_text":"⫖↰⪸-2023=⫖↰⪸725≧⫂∧⫖↰⪸39A2%(⊄⩳↩⫖↰⪸1A30)","cot":[{"info":"⫖↰⪸725≧⫂∧⫖↰⪸39A2=⫖↰⪸3669","layer":1},{"info":"⊄⩳↩⫖↰⪸1A30=⫖↰⪸-5690","layer":1},{"info":"⫖↰⪸3669%⫖↰⪸-5690=⫖↰⪸-2023","layer":0}]}
+{"id":700,"expression_no_base_symbol":"⪲⇎$1198$⊴$5116$","expression":"⪲⇎⫖↰⪸83A⊴⫖↰⪸2B64","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5124,"operation_count":2,"complexity_ratio":2562.0,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1198,"base":12},"right_expr":{"type":"numeric_atoms","value":5116,"base":12}}},"used_operators":["XPYlsWDdGa","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1198","layer":2},{"info":"number node, value=5116","layer":2},{"info":"compute binary expreesion, left_input=1198, right_input=5116, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":12,"result_base":12,"text":"⪲⇎⫖↰⪸83A⊴⫖↰⪸2B64=NaN","reverse_text":"NaN=⪲⇎⫖↰⪸83A⊴⫖↰⪸2B64","cot":[{"info":"⫖↰⪸83A⊴⫖↰⪸2B64=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
+{"id":701,"expression_no_base_symbol":"$6117$⨳⩥⨓$5420$/($7746$⫡⨏$4587$)","expression":"⫖↰⪸3659⨳⩥⨓⫖↰⪸3178/(⫖↰⪸4596⫡⨏⫖↰⪸27A3)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6117,"base":12},"right_expr":{"type":"numeric_atoms","value":5420,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7746,"base":12},"right_expr":{"type":"numeric_atoms","value":4587,"base":12}}},"used_operators":["XhwjNDsVaA","nCS4ZIUYfx","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-1","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6117","layer":2},{"info":"number node, value=5420","layer":2},{"info":"compute binary expreesion, left_input=6117, right_input=5420, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-697","layer":1},{"info":"number node, value=7746","layer":2},{"info":"number node, value=4587","layer":2},{"info":"compute binary expreesion, left_input=7746, right_input=4587, 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=48687","layer":1},{"info":"compute binary expreesion, left_input=-697, right_input=48687, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3659⨳⩥⨓⫖↰⪸3178/(⫖↰⪸4596⫡⨏⫖↰⪸27A3)=⫖↰⪸-1","reverse_text":"⫖↰⪸-1=⫖↰⪸3659⨳⩥⨓⫖↰⪸3178/(⫖↰⪸4596⫡⨏⫖↰⪸27A3)","cot":[{"info":"⫖↰⪸3659⨳⩥⨓⫖↰⪸3178=⫖↰⪸-4A1","layer":1},{"info":"⫖↰⪸4596⫡⨏⫖↰⪸27A3=⫖↰⪸24213","layer":1},{"info":"⫖↰⪸-4A1/⫖↰⪸24213=⫖↰⪸-1","layer":0}]}
+{"id":702,"expression_no_base_symbol":"≉$4505$↺$1368$","expression":"≉⫖↰⪸2735↺⫖↰⪸960","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4505,"base":12},"right_expr":{"type":"numeric_atoms","value":1368,"base":12}}},"used_operators":["e1ybzncUwg","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸1123","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4505","layer":2},{"info":"number node, value=1368","layer":2},{"info":"compute binary expreesion, left_input=4505, right_input=1368, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1368","layer":1},{"info":"compute unary expreesion, input=1368, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1899","layer":0}],"base":12,"result_base":12,"text":"≉⫖↰⪸2735↺⫖↰⪸960=⫖↰⪸1123","reverse_text":"⫖↰⪸1123=≉⫖↰⪸2735↺⫖↰⪸960","cot":[{"info":"⫖↰⪸2735↺⫖↰⪸960=⫖↰⪸960","layer":1},{"info":"≉⫖↰⪸960=⫖↰⪸1123","layer":0}]}
+{"id":703,"expression_no_base_symbol":"$2353$⋝⋈⪟$1319$⊉≛↸($1228$⪨≂$4062$)","expression":"⫖↰⪸1441⋝⋈⪟⫖↰⪸91B⊉≛↸(⫖↰⪸864⪨≂⫖↰⪸2426)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2353,"base":12},"right_expr":{"type":"numeric_atoms","value":1319,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1228,"base":12},"right_expr":{"type":"numeric_atoms","value":4062,"base":12}}},"used_operators":["DZ8iAZOCBD","2DDjHMKMc0","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸2882","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2353","layer":2},{"info":"number node, value=1319","layer":2},{"info":"compute binary expreesion, left_input=2353, right_input=1319, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2353","layer":1},{"info":"number node, value=1228","layer":2},{"info":"number node, value=4062","layer":2},{"info":"compute binary expreesion, left_input=1228, right_input=4062, 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=-5566","layer":1},{"info":"compute binary expreesion, left_input=2353, right_input=-5566, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4706","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1441⋝⋈⪟⫖↰⪸91B⊉≛↸(⫖↰⪸864⪨≂⫖↰⪸2426)=⫖↰⪸2882","reverse_text":"⫖↰⪸2882=⫖↰⪸1441⋝⋈⪟⫖↰⪸91B⊉≛↸(⫖↰⪸864⪨≂⫖↰⪸2426)","cot":[{"info":"⫖↰⪸1441⋝⋈⪟⫖↰⪸91B=⫖↰⪸1441","layer":1},{"info":"⫖↰⪸864⪨≂⫖↰⪸2426=⫖↰⪸-327A","layer":1},{"info":"⫖↰⪸1441⊉≛↸⫖↰⪸-327A=⫖↰⪸2882","layer":0}]}
+{"id":704,"expression_no_base_symbol":"($1314$/$2292$)⋫","expression":"(⫖↰⪸916/⫖↰⪸13B0)⋫","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1314,"base":12},"right_expr":{"type":"numeric_atoms","value":2292,"base":12}}},"used_operators":["JL8yIekQnl","XhwjNDsVaA"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1314","layer":2},{"info":"number node, value=2292","layer":2},{"info":"compute binary expreesion, left_input=1314, right_input=2292, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸916/⫖↰⪸13B0)⋫=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸916/⫖↰⪸13B0)⋫","cot":[{"info":"⫖↰⪸916/⫖↰⪸13B0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⋫=⫖↰⪸0","layer":0}]}
+{"id":705,"expression_no_base_symbol":"$2534$⋥≓≎$2109$⇼⇔∾(⫓⪴$4747$)","expression":"⫖↰⪸1572⋥≓≎⫖↰⪸1279⇼⇔∾(⫓⪴⫖↰⪸28B7)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4753,"operation_count":3,"complexity_ratio":1584.3333333333333,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2534,"base":12},"right_expr":{"type":"numeric_atoms","value":2109,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4747,"base":12}}},"used_operators":["tifHPKVTfV","Qy55tPpLXF","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A"],"result":"⫖↰⪸7667630","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2534","layer":2},{"info":"number node, value=2109","layer":2},{"info":"compute binary expreesion, left_input=2534, right_input=2109, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1717","layer":1},{"info":"number node, value=4747","layer":2},{"info":"compute unary expreesion, input=4747, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=22534009","layer":1},{"info":"compute binary expreesion, left_input=1717, right_input=22534009, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=22532292","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1572⋥≓≎⫖↰⪸1279⇼⇔∾(⫓⪴⫖↰⪸28B7)=⫖↰⪸7667630","reverse_text":"⫖↰⪸7667630=⫖↰⪸1572⋥≓≎⫖↰⪸1279⇼⇔∾(⫓⪴⫖↰⪸28B7)","cot":[{"info":"⫖↰⪸1572⋥≓≎⫖↰⪸1279=⫖↰⪸BB1","layer":1},{"info":"⫓⪴⫖↰⪸28B7=⫖↰⪸7668621","layer":1},{"info":"⫖↰⪸BB1⇼⇔∾⫖↰⪸7668621=⫖↰⪸7667630","layer":0}]}
+{"id":706,"expression_no_base_symbol":"⨵≀≌$1892$⪛$1925$","expression":"⨵≀≌⫖↰⪸1118⪛⫖↰⪸1145","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1892,"base":12},"right_expr":{"type":"numeric_atoms","value":1925,"base":12}}},"used_operators":["srAu1WTS94","uFcxV4UQCh"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫖↰⪸-3350","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1892","layer":2},{"info":"number node, value=1925","layer":2},{"info":"compute binary expreesion, left_input=1892, right_input=1925, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1892","layer":1},{"info":"compute unary expreesion, input=1892, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5676","layer":0}],"base":12,"result_base":12,"text":"⨵≀≌⫖↰⪸1118⪛⫖↰⪸1145=⫖↰⪸-3350","reverse_text":"⫖↰⪸-3350=⨵≀≌⫖↰⪸1118⪛⫖↰⪸1145","cot":[{"info":"⫖↰⪸1118⪛⫖↰⪸1145=⫖↰⪸1118","layer":1},{"info":"⨵≀≌⫖↰⪸1118=⫖↰⪸-3350","layer":0}]}
+{"id":707,"expression_no_base_symbol":"⊥($1795$⋥≓≎$3812$)","expression":"⊥(⫖↰⪸1057⋥≓≎⫖↰⪸2258)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1795,"base":12},"right_expr":{"type":"numeric_atoms","value":3812,"base":12}}},"used_operators":["Q3PJZHRvZv","Qy55tPpLXF"],"dependent_operators":["fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1795","layer":2},{"info":"number node, value=3812","layer":2},{"info":"compute binary expreesion, left_input=1795, right_input=3812, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5862","layer":1},{"info":"compute unary expreesion, input=5862, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊥(⫖↰⪸1057⋥≓≎⫖↰⪸2258)=NaN","reverse_text":"NaN=⊥(⫖↰⪸1057⋥≓≎⫖↰⪸2258)","cot":[{"info":"⫖↰⪸1057⋥≓≎⫖↰⪸2258=⫖↰⪸3486","layer":1},{"info":"⊥⫖↰⪸3486=NaN","layer":0}]}
+{"id":708,"expression_no_base_symbol":"(↩$1366$)⊭↱($5599$⩨$4197$)","expression":"(↩⫖↰⪸95A)⊭↱(⫖↰⪸32A7⩨⫖↰⪸2519)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1366,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5599,"base":12},"right_expr":{"type":"numeric_atoms","value":4197,"base":12}}},"used_operators":["COABgblf1C","jLgFTUHLKL","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸9525","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1366","layer":2},{"info":"compute unary expreesion, input=1366, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8148","layer":1},{"info":"number node, value=5599","layer":2},{"info":"number node, value=4197","layer":2},{"info":"compute binary expreesion, left_input=5599, right_input=4197, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-8148, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=16301","layer":0}],"base":12,"result_base":12,"text":"(↩⫖↰⪸95A)⊭↱(⫖↰⪸32A7⩨⫖↰⪸2519)=⫖↰⪸9525","reverse_text":"⫖↰⪸9525=(↩⫖↰⪸95A)⊭↱(⫖↰⪸32A7⩨⫖↰⪸2519)","cot":[{"info":"↩⫖↰⪸95A=⫖↰⪸-4870","layer":1},{"info":"⫖↰⪸32A7⩨⫖↰⪸2519=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-4870⊭↱⫖↰⪸0=⫖↰⪸9525","layer":0}]}
+{"id":709,"expression_no_base_symbol":"$1516$⊴$4029$⪒$1247$↙$1221$","expression":"⫖↰⪸A64⊴⫖↰⪸23B9⪒⫖↰⪸87B↙⫖↰⪸859","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5262,"operation_count":3,"complexity_ratio":1754.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1516,"base":12},"right_expr":{"type":"numeric_atoms","value":4029,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1247,"base":12},"right_expr":{"type":"numeric_atoms","value":1221,"base":12}}},"used_operators":["f6k1SAg4EE","Nsiff2A1zJ","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1516","layer":2},{"info":"number node, value=4029","layer":2},{"info":"compute binary expreesion, left_input=1516, right_input=4029, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1247","layer":2},{"info":"number node, value=1221","layer":2},{"info":"compute binary expreesion, left_input=1247, right_input=1221, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3663","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3663, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸A64⊴⫖↰⪸23B9⪒⫖↰⪸87B↙⫖↰⪸859=NaN","reverse_text":"NaN=⫖↰⪸A64⊴⫖↰⪸23B9⪒⫖↰⪸87B↙⫖↰⪸859","cot":[{"info":"⫖↰⪸A64⊴⫖↰⪸23B9=NaN","layer":1},{"info":"⫖↰⪸87B↙⫖↰⪸859=⫖↰⪸-2153","layer":1},{"info":"NaN⪒⫖↰⪸-2153=NaN","layer":0}]}
+{"id":710,"expression_no_base_symbol":"$3585$⊉≛↸$1223$⪨≂$2720$⪮%⊝$2981$","expression":"⫖↰⪸20A9⊉≛↸⫖↰⪸85B⪨≂⫖↰⪸16A8⪮%⊝⫖↰⪸1885","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3585,"base":12},"right_expr":{"type":"numeric_atoms","value":1223,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2720,"base":12},"right_expr":{"type":"numeric_atoms","value":2981,"base":12}}},"used_operators":["sdazOOVcIp","DZ8iAZOCBD","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸1842","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3585","layer":2},{"info":"number node, value=1223","layer":2},{"info":"compute binary expreesion, left_input=3585, right_input=1223, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7170","layer":1},{"info":"number node, value=2720","layer":2},{"info":"number node, value=2981","layer":2},{"info":"compute binary expreesion, left_input=2720, right_input=2981, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5756","layer":1},{"info":"compute binary expreesion, left_input=7170, right_input=5756, 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=2930","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸20A9⊉≛↸⫖↰⪸85B⪨≂⫖↰⪸16A8⪮%⊝⫖↰⪸1885=⫖↰⪸1842","reverse_text":"⫖↰⪸1842=⫖↰⪸20A9⊉≛↸⫖↰⪸85B⪨≂⫖↰⪸16A8⪮%⊝⫖↰⪸1885","cot":[{"info":"⫖↰⪸20A9⊉≛↸⫖↰⪸85B=⫖↰⪸4196","layer":1},{"info":"⫖↰⪸16A8⪮%⊝⫖↰⪸1885=⫖↰⪸33B8","layer":1},{"info":"⫖↰⪸4196⪨≂⫖↰⪸33B8=⫖↰⪸1842","layer":0}]}
+{"id":711,"expression_no_base_symbol":"$1320$⨓$4535$⫸⊐$2749$⨟⋌⩍$3763$","expression":"⫖↰⪸920⨓⫖↰⪸275B⫸⊐⫖↰⪸1711⨟⋌⩍⫖↰⪸2217","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4546,"operation_count":3,"complexity_ratio":1515.3333333333333,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1320,"base":12},"right_expr":{"type":"numeric_atoms","value":4535,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2749,"base":12},"right_expr":{"type":"numeric_atoms","value":3763,"base":12}}},"used_operators":["mqXw5SEYmG","3ViojmjbAp","rGHVDoGpnC"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Tcnh7f0tEr"],"result":"⫖↰⪸688","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1320","layer":2},{"info":"number node, value=4535","layer":2},{"info":"compute binary expreesion, left_input=1320, right_input=4535, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4538","layer":1},{"info":"number node, value=2749","layer":2},{"info":"number node, value=3763","layer":2},{"info":"compute binary expreesion, left_input=2749, right_input=3763, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4538, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸920⨓⫖↰⪸275B⫸⊐⫖↰⪸1711⨟⋌⩍⫖↰⪸2217=⫖↰⪸688","reverse_text":"⫖↰⪸688=⫖↰⪸920⨓⫖↰⪸275B⫸⊐⫖↰⪸1711⨟⋌⩍⫖↰⪸2217","cot":[{"info":"⫖↰⪸920⨓⫖↰⪸275B=⫖↰⪸-2762","layer":1},{"info":"⫖↰⪸1711⨟⋌⩍⫖↰⪸2217=NaN","layer":1},{"info":"⫖↰⪸-2762⫸⊐NaN=⫖↰⪸688","layer":0}]}
+{"id":712,"expression_no_base_symbol":"($1144$⫡⨏$3216$)≎⊠⪸($1863$+$4023$)","expression":"(⫖↰⪸7B4⫡⨏⫖↰⪸1A40)≎⊠⪸(⫖↰⪸10B3+⫖↰⪸23B3)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":278,"operation_count":3,"complexity_ratio":92.66666666666667,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1144,"base":12},"right_expr":{"type":"numeric_atoms","value":3216,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1863,"base":12},"right_expr":{"type":"numeric_atoms","value":4023,"base":12}}},"used_operators":["bJkvcejdHO","QMFrweE19q","W4YGzv6Whe"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸1156590","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1144","layer":2},{"info":"number node, value=3216","layer":2},{"info":"compute binary expreesion, left_input=1144, right_input=3216, 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=12935","layer":1},{"info":"number node, value=1863","layer":2},{"info":"number node, value=4023","layer":2},{"info":"compute binary expreesion, left_input=1863, right_input=4023, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5886","layer":1},{"info":"compute binary expreesion, left_input=12935, right_input=5886, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=3349692","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸7B4⫡⨏⫖↰⪸1A40)≎⊠⪸(⫖↰⪸10B3+⫖↰⪸23B3)=⫖↰⪸1156590","reverse_text":"⫖↰⪸1156590=(⫖↰⪸7B4⫡⨏⫖↰⪸1A40)≎⊠⪸(⫖↰⪸10B3+⫖↰⪸23B3)","cot":[{"info":"⫖↰⪸7B4⫡⨏⫖↰⪸1A40=⫖↰⪸759B","layer":1},{"info":"⫖↰⪸10B3+⫖↰⪸23B3=⫖↰⪸34A6","layer":1},{"info":"⫖↰⪸759B≎⊠⪸⫖↰⪸34A6=⫖↰⪸1156590","layer":0}]}
+{"id":713,"expression_no_base_symbol":"$3320$⨵⪆$1161$+(∂$1182$)","expression":"⫖↰⪸1B08⨵⪆⫖↰⪸809+(∂⫖↰⪸826)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3320,"base":12},"right_expr":{"type":"numeric_atoms","value":1161,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1182,"base":12}}},"used_operators":["W4YGzv6Whe","2DQ55sFlQl","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3320","layer":2},{"info":"number node, value=1161","layer":2},{"info":"compute binary expreesion, left_input=3320, right_input=1161, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1182","layer":2},{"info":"compute unary expreesion, input=1182, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1B08⨵⪆⫖↰⪸809+(∂⫖↰⪸826)=NaN","reverse_text":"NaN=⫖↰⪸1B08⨵⪆⫖↰⪸809+(∂⫖↰⪸826)","cot":[{"info":"⫖↰⪸1B08⨵⪆⫖↰⪸809=⫖↰⪸114","layer":1},{"info":"∂⫖↰⪸826=NaN","layer":1},{"info":"⫖↰⪸114+NaN=NaN","layer":0}]}
+{"id":714,"expression_no_base_symbol":"($1481$⨪↰⇹$1352$)⇷$4808$⨟⋌⩍$1031$","expression":"(⫖↰⪸A35⨪↰⇹⫖↰⪸948)⇷⫖↰⪸2948⨟⋌⩍⫖↰⪸71B","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":22222,"operation_count":3,"complexity_ratio":7407.333333333333,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1481,"base":12},"right_expr":{"type":"numeric_atoms","value":1352,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4808,"base":12},"right_expr":{"type":"numeric_atoms","value":1031,"base":12}}},"used_operators":["mp7IySMOzn","tmPS8pqC7x","rGHVDoGpnC"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1481","layer":2},{"info":"number node, value=1352","layer":2},{"info":"compute binary expreesion, left_input=1481, right_input=1352, 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=1481","layer":1},{"info":"number node, value=4808","layer":2},{"info":"number node, value=1031","layer":2},{"info":"compute binary expreesion, left_input=4808, right_input=1031, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1481, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A35⨪↰⇹⫖↰⪸948)⇷⫖↰⪸2948⨟⋌⩍⫖↰⪸71B=NaN","reverse_text":"NaN=(⫖↰⪸A35⨪↰⇹⫖↰⪸948)⇷⫖↰⪸2948⨟⋌⩍⫖↰⪸71B","cot":[{"info":"⫖↰⪸A35⨪↰⇹⫖↰⪸948=⫖↰⪸A35","layer":1},{"info":"⫖↰⪸2948⨟⋌⩍⫖↰⪸71B=NaN","layer":1},{"info":"⫖↰⪸A35⇷NaN=NaN","layer":0}]}
+{"id":715,"expression_no_base_symbol":"($1765$⨵⪆$1001$)↺(⫓⪴$2780$)","expression":"(⫖↰⪸1031⨵⪆⫖↰⪸6B5)↺(⫓⪴⫖↰⪸1738)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2783,"operation_count":3,"complexity_ratio":927.6666666666666,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1765,"base":12},"right_expr":{"type":"numeric_atoms","value":1001,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2780,"base":12}}},"used_operators":["7j4O788W3g","2DQ55sFlQl","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A"],"result":"⫖↰⪸2708554","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1765","layer":2},{"info":"number node, value=1001","layer":2},{"info":"compute binary expreesion, left_input=1765, right_input=1001, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2780","layer":2},{"info":"compute unary expreesion, input=2780, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=7728400","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=7728400, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7728400","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1031⨵⪆⫖↰⪸6B5)↺(⫓⪴⫖↰⪸1738)=⫖↰⪸2708554","reverse_text":"⫖↰⪸2708554=(⫖↰⪸1031⨵⪆⫖↰⪸6B5)↺(⫓⪴⫖↰⪸1738)","cot":[{"info":"⫖↰⪸1031⨵⪆⫖↰⪸6B5=⫖↰⪸114","layer":1},{"info":"⫓⪴⫖↰⪸1738=⫖↰⪸2708554","layer":1},{"info":"⫖↰⪸114↺⫖↰⪸2708554=⫖↰⪸2708554","layer":0}]}
+{"id":716,"expression_no_base_symbol":"($4277$⩠)%$3196$⪄$4048$","expression":"(⫖↰⪸2585⩠)%⫖↰⪸1A24⪄⫖↰⪸2414","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":114,"operation_count":3,"complexity_ratio":38.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4277,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3196,"base":12},"right_expr":{"type":"numeric_atoms","value":4048,"base":12}}},"used_operators":["k8jYdgA6NY","sJAwomhLZr","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4277","layer":2},{"info":"compute unary expreesion, input=4277, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"number node, value=3196","layer":2},{"info":"number node, value=4048","layer":2},{"info":"compute binary expreesion, left_input=3196, right_input=4048, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-485289","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-485289, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2585⩠)%⫖↰⪸1A24⪄⫖↰⪸2414=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸2585⩠)%⫖↰⪸1A24⪄⫖↰⪸2414","cot":[{"info":"⫖↰⪸2585⩠=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1A24⪄⫖↰⪸2414=⫖↰⪸-1B4A09","layer":1},{"info":"⫖↰⪸0%⫖↰⪸-1B4A09=⫖↰⪸0","layer":0}]}
+{"id":717,"expression_no_base_symbol":"($1040$≧⫂∧$2225$)⨪↰⇹($1291$⋝⋈⪟$2144$)","expression":"(⫖↰⪸728≧⫂∧⫖↰⪸1355)⨪↰⇹(⫖↰⪸8B7⋝⋈⪟⫖↰⪸12A8)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1756,"operation_count":3,"complexity_ratio":585.3333333333334,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1040,"base":12},"right_expr":{"type":"numeric_atoms","value":2225,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1291,"base":12},"right_expr":{"type":"numeric_atoms","value":2144,"base":12}}},"used_operators":["tmPS8pqC7x","Ph9nP6C5qx","2DDjHMKMc0"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸1020","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1040","layer":2},{"info":"number node, value=2225","layer":2},{"info":"compute binary expreesion, left_input=1040, right_input=2225, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1752","layer":1},{"info":"number node, value=1291","layer":2},{"info":"number node, value=2144","layer":2},{"info":"compute binary expreesion, left_input=1291, right_input=2144, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1291","layer":1},{"info":"compute binary expreesion, left_input=1752, right_input=1291, 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=1752","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸728≧⫂∧⫖↰⪸1355)⨪↰⇹(⫖↰⪸8B7⋝⋈⪟⫖↰⪸12A8)=⫖↰⪸1020","reverse_text":"⫖↰⪸1020=(⫖↰⪸728≧⫂∧⫖↰⪸1355)⨪↰⇹(⫖↰⪸8B7⋝⋈⪟⫖↰⪸12A8)","cot":[{"info":"⫖↰⪸728≧⫂∧⫖↰⪸1355=⫖↰⪸1020","layer":1},{"info":"⫖↰⪸8B7⋝⋈⪟⫖↰⪸12A8=⫖↰⪸8B7","layer":1},{"info":"⫖↰⪸1020⨪↰⇹⫖↰⪸8B7=⫖↰⪸1020","layer":0}]}
+{"id":718,"expression_no_base_symbol":"$3047$↬$1930$∑⇟⊟($2058$∧)","expression":"⫖↰⪸191B↬⫖↰⪸114A∑⇟⊟(⫖↰⪸1236∧)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3047,"base":12},"right_expr":{"type":"numeric_atoms","value":1930,"base":12}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2058,"base":12}}},"used_operators":["U7g4x0WXJJ","B5M0gjZbta","z63VuFQld9"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3047","layer":2},{"info":"number node, value=1930","layer":2},{"info":"compute binary expreesion, left_input=3047, right_input=1930, 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=2058","layer":2},{"info":"compute unary expreesion, input=2058, 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=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸191B↬⫖↰⪸114A∑⇟⊟(⫖↰⪸1236∧)=NaN","reverse_text":"NaN=⫖↰⪸191B↬⫖↰⪸114A∑⇟⊟(⫖↰⪸1236∧)","cot":[{"info":"⫖↰⪸191B↬⫖↰⪸114A=NaN","layer":1},{"info":"⫖↰⪸1236∧=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
+{"id":719,"expression_no_base_symbol":"⫛⫱⨽($4186$⋓$3196$)","expression":"⫛⫱⨽(⫖↰⪸250A⋓⫖↰⪸1A24)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":925,"operation_count":2,"complexity_ratio":462.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4186,"base":12},"right_expr":{"type":"numeric_atoms","value":3196,"base":12}}},"used_operators":["DlLNRPXxWL","T2fj7uvVaJ"],"dependent_operators":["rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4186","layer":2},{"info":"number node, value=3196","layer":2},{"info":"compute binary expreesion, left_input=4186, right_input=3196, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫛⫱⨽(⫖↰⪸250A⋓⫖↰⪸1A24)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫛⫱⨽(⫖↰⪸250A⋓⫖↰⪸1A24)","cot":[{"info":"⫖↰⪸250A⋓⫖↰⪸1A24=⫖↰⪸0","layer":1},{"info":"⫛⫱⨽⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":720,"expression_no_base_symbol":"($3328$⊭∹↮)≧⫂∧($2599$⊪)","expression":"(⫖↰⪸1B14⊭∹↮)≧⫂∧(⫖↰⪸1607⊪)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3328,"base":12}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2599,"base":12}}},"used_operators":["Ph9nP6C5qx","xNBdhnnwKq","zVYPLywUTj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⫖↰⪸-335","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3328","layer":2},{"info":"compute unary expreesion, input=3328, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6656","layer":1},{"info":"number node, value=2599","layer":2},{"info":"compute unary expreesion, input=2599, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=6656, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1B14⊭∹↮)≧⫂∧(⫖↰⪸1607⊪)=⫖↰⪸-335","reverse_text":"⫖↰⪸-335=(⫖↰⪸1B14⊭∹↮)≧⫂∧(⫖↰⪸1607⊪)","cot":[{"info":"⫖↰⪸1B14⊭∹↮=⫖↰⪸3A28","layer":1},{"info":"⫖↰⪸1607⊪=⫖↰⪸0","layer":1},{"info":"⫖↰⪸3A28≧⫂∧⫖↰⪸0=⫖↰⪸-335","layer":0}]}
+{"id":721,"expression_no_base_symbol":"(⋗⩬⋾$2640$)⨵⪆$6756$⨽$7059$","expression":"(⋗⩬⋾⫖↰⪸1640)⨵⪆⫖↰⪸3AB0⨽⫖↰⪸4103","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6769,"operation_count":3,"complexity_ratio":2256.3333333333335,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2640,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6756,"base":12},"right_expr":{"type":"numeric_atoms","value":7059,"base":12}}},"used_operators":["2DQ55sFlQl","DpFCA1CohY","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2640","layer":2},{"info":"compute unary expreesion, input=2640, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7920","layer":1},{"info":"number node, value=6756","layer":2},{"info":"number node, value=7059","layer":2},{"info":"compute binary expreesion, left_input=6756, right_input=7059, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-136950471","layer":1},{"info":"compute binary expreesion, left_input=-7920, right_input=-136950471, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⋗⩬⋾⫖↰⪸1640)⨵⪆⫖↰⪸3AB0⨽⫖↰⪸4103=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⋗⩬⋾⫖↰⪸1640)⨵⪆⫖↰⪸3AB0⨽⫖↰⪸4103","cot":[{"info":"⋗⩬⋾⫖↰⪸1640=⫖↰⪸-4700","layer":1},{"info":"⫖↰⪸3AB0⨽⫖↰⪸4103=⫖↰⪸-39A458B3","layer":1},{"info":"⫖↰⪸-4700⨵⪆⫖↰⪸-39A458B3=⫖↰⪸114","layer":0}]}
+{"id":722,"expression_no_base_symbol":"$8484$∑⇟⊟$1285$⨳⩥⨓($6085$*$4881$)","expression":"⫖↰⪸4AB0∑⇟⊟⫖↰⪸8B1⨳⩥⨓(⫖↰⪸3631*⫖↰⪸29A9)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4885,"operation_count":3,"complexity_ratio":1628.3333333333333,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":8484,"base":12},"right_expr":{"type":"numeric_atoms","value":1285,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6085,"base":12},"right_expr":{"type":"numeric_atoms","value":4881,"base":12}}},"used_operators":["nCS4ZIUYfx","U7g4x0WXJJ","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8484","layer":2},{"info":"number node, value=1285","layer":2},{"info":"compute binary expreesion, left_input=8484, right_input=1285, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=6085","layer":2},{"info":"number node, value=4881","layer":2},{"info":"compute binary expreesion, left_input=6085, right_input=4881, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=29700885","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=29700885, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸4AB0∑⇟⊟⫖↰⪸8B1⨳⩥⨓(⫖↰⪸3631*⫖↰⪸29A9)=NaN","reverse_text":"NaN=⫖↰⪸4AB0∑⇟⊟⫖↰⪸8B1⨳⩥⨓(⫖↰⪸3631*⫖↰⪸29A9)","cot":[{"info":"⫖↰⪸4AB0∑⇟⊟⫖↰⪸8B1=NaN","layer":1},{"info":"⫖↰⪸3631*⫖↰⪸29A9=⫖↰⪸9B44019","layer":1},{"info":"NaN⨳⩥⨓⫖↰⪸9B44019=NaN","layer":0}]}
+{"id":723,"expression_no_base_symbol":"($1278$⋫)⨟⋌⩍($6460$⩠)","expression":"(⫖↰⪸8A6⋫)⨟⋌⩍(⫖↰⪸38A4⩠)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1297,"operation_count":3,"complexity_ratio":432.3333333333333,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1278,"base":12}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":6460,"base":12}}},"used_operators":["rGHVDoGpnC","JL8yIekQnl","sJAwomhLZr"],"dependent_operators":["Tcnh7f0tEr","tmPS8pqC7x","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⫖↰⪸8A6","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1278","layer":2},{"info":"compute unary expreesion, input=1278, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1278","layer":1},{"info":"number node, value=6460","layer":2},{"info":"compute unary expreesion, input=6460, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1278, 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=1278","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸8A6⋫)⨟⋌⩍(⫖↰⪸38A4⩠)=⫖↰⪸8A6","reverse_text":"⫖↰⪸8A6=(⫖↰⪸8A6⋫)⨟⋌⩍(⫖↰⪸38A4⩠)","cot":[{"info":"⫖↰⪸8A6⋫=��↰⪸8A6","layer":1},{"info":"⫖↰⪸38A4⩠=⫖↰⪸0","layer":1},{"info":"⫖↰⪸8A6⨟⋌⩍⫖↰⪸0=⫖↰⪸8A6","layer":0}]}
+{"id":724,"expression_no_base_symbol":"($1018$%$4090$)⨓($1721$⨳⩥⨓$1288$)","expression":"(⫖↰⪸70A%⫖↰⪸244A)⨓(⫖↰⪸BB5⨳⩥⨓⫖↰⪸8B4)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":443,"operation_count":3,"complexity_ratio":147.66666666666666,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1018,"base":12},"right_expr":{"type":"numeric_atoms","value":4090,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1721,"base":12},"right_expr":{"type":"numeric_atoms","value":1288,"base":12}}},"used_operators":["3ViojmjbAp","k8jYdgA6NY","nCS4ZIUYfx"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸-304","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1018","layer":2},{"info":"number node, value=4090","layer":2},{"info":"compute binary expreesion, left_input=1018, right_input=4090, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1018","layer":1},{"info":"number node, value=1721","layer":2},{"info":"number node, value=1288","layer":2},{"info":"compute binary expreesion, left_input=1721, right_input=1288, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-433","layer":1},{"info":"compute binary expreesion, left_input=1018, right_input=-433, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-436","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸70A%⫖↰⪸244A)⨓(⫖↰⪸BB5⨳⩥⨓⫖↰⪸8B4)=⫖↰⪸-304","reverse_text":"⫖↰⪸-304=(⫖↰⪸70A%⫖↰⪸244A)⨓(⫖↰⪸BB5⨳⩥⨓⫖↰⪸8B4)","cot":[{"info":"⫖↰⪸70A%⫖↰⪸244A=⫖↰⪸70A","layer":1},{"info":"⫖↰⪸BB5⨳⩥⨓⫖↰⪸8B4=⫖↰⪸-301","layer":1},{"info":"⫖↰⪸70A⨓⫖↰⪸-301=⫖↰⪸-304","layer":0}]}
+{"id":725,"expression_no_base_symbol":"($2167$⩤)⪛($8462$∲⫓$4679$)","expression":"(⫖↰⪸1307⩤)⪛(⫖↰⪸4A92∲⫓⫖↰⪸285B)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2167,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":8462,"base":12},"right_expr":{"type":"numeric_atoms","value":4679,"base":12}}},"used_operators":["uFcxV4UQCh","Z2TMIBDE3Q","i8ToyICDmI"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2167","layer":2},{"info":"compute unary expreesion, input=2167, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2167","layer":1},{"info":"number node, value=8462","layer":2},{"info":"number node, value=4679","layer":2},{"info":"compute binary expreesion, left_input=8462, right_input=4679, 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=-2167, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1307⩤)⪛(⫖↰⪸4A92∲⫓⫖↰⪸285B)=NaN","reverse_text":"NaN=(⫖↰⪸1307⩤)⪛(⫖↰⪸4A92∲⫓⫖↰⪸285B)","cot":[{"info":"⫖↰⪸1307⩤=⫖↰⪸-1307","layer":1},{"info":"⫖↰⪸4A92∲⫓⫖↰⪸285B=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-1307⪛⫖↰⪸0=NaN","layer":0}]}
+{"id":726,"expression_no_base_symbol":"($5254$+$2369$)∑⇟⊟(↥$6110$)","expression":"(⫖↰⪸305A+⫖↰⪸1455)∑⇟⊟(↥⫖↰⪸3652)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5815,"operation_count":3,"complexity_ratio":1938.3333333333333,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5254,"base":12},"right_expr":{"type":"numeric_atoms","value":2369,"base":12}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":6110,"base":12}}},"used_operators":["U7g4x0WXJJ","W4YGzv6Whe","A8NUZmVepG"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5254","layer":2},{"info":"number node, value=2369","layer":2},{"info":"compute binary expreesion, left_input=5254, right_input=2369, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7623","layer":1},{"info":"number node, value=6110","layer":2},{"info":"compute unary expreesion, input=6110, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=41","layer":1},{"info":"compute binary expreesion, left_input=7623, right_input=41, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸305A+⫖↰⪸1455)∑⇟⊟(↥⫖↰⪸3652)=NaN","reverse_text":"NaN=(⫖↰⪸305A+⫖↰⪸1455)∑⇟⊟(↥⫖↰⪸3652)","cot":[{"info":"⫖↰⪸305A+⫖↰⪸1455=⫖↰⪸44B3","layer":1},{"info":"↥⫖↰⪸3652=⫖↰⪸35","layer":1},{"info":"⫖↰⪸44B3∑⇟⊟⫖↰⪸35=NaN","layer":0}]}
+{"id":727,"expression_no_base_symbol":"(⇁⨣⪵$1041$)-$2277$⪢$1986$","expression":"(⇁⨣⪵⫖↰⪸729)-⫖↰⪸1399⪢⫖↰⪸1196","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2313,"operation_count":3,"complexity_ratio":771.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1041,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2277,"base":12},"right_expr":{"type":"numeric_atoms","value":1986,"base":12}}},"used_operators":["rysDP5nf3Z","inkyxCbjAn","dWAJyo7jo9"],"dependent_operators":["B5M0gjZbta","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1041","layer":2},{"info":"compute unary expreesion, input=1041, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=2277","layer":2},{"info":"number node, value=1986","layer":2},{"info":"compute binary expreesion, left_input=2277, right_input=1986, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇁⨣⪵⫖↰⪸729)-⫖↰⪸1399⪢⫖↰⪸1196=NaN","reverse_text":"NaN=(⇁⨣⪵⫖↰⪸729)-⫖↰⪸1399⪢⫖↰⪸1196","cot":[{"info":"⇁⨣⪵⫖↰⪸729=NaN","layer":1},{"info":"⫖↰⪸1399⪢⫖↰⪸1196=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
+{"id":728,"expression_no_base_symbol":"($2036$⫥∨⫟$1401$)∧","expression":"(⫖↰⪸1218⫥∨⫟⫖↰⪸989)∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":162,"operation_count":2,"complexity_ratio":81.0,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2036,"base":12},"right_expr":{"type":"numeric_atoms","value":1401,"base":12}}},"used_operators":["z63VuFQld9","KYD54nUTWz"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2036","layer":2},{"info":"number node, value=1401","layer":2},{"info":"compute binary expreesion, left_input=2036, right_input=1401, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1218⫥∨⫟⫖↰⪸989)∧=NaN","reverse_text":"NaN=(⫖↰⪸1218⫥∨⫟⫖↰⪸989)∧","cot":[{"info":"⫖↰⪸1218⫥∨⫟⫖↰⪸989=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
+{"id":729,"expression_no_base_symbol":"($2819$⩠)⇷($6327$≧⫂∧$3343$)","expression":"(⫖↰⪸176B⩠)⇷(⫖↰⪸37B3≧⫂∧⫖↰⪸1B27)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2819,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6327,"base":12},"right_expr":{"type":"numeric_atoms","value":3343,"base":12}}},"used_operators":["mp7IySMOzn","sJAwomhLZr","Ph9nP6C5qx"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸33A4","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2819","layer":2},{"info":"compute unary expreesion, input=2819, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"number node, value=6327","layer":2},{"info":"number node, value=3343","layer":2},{"info":"compute binary expreesion, left_input=6327, right_input=3343, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2870","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2870, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5740","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸176B⩠)⇷(⫖↰⪸37B3≧⫂∧⫖↰⪸1B27)=⫖↰⪸33A4","reverse_text":"⫖↰⪸33A4=(⫖↰⪸176B⩠)⇷(⫖↰⪸37B3≧⫂∧⫖↰⪸1B27)","cot":[{"info":"⫖↰⪸176B⩠=⫖↰⪸0","layer":1},{"info":"⫖↰⪸37B3≧⫂∧⫖↰⪸1B27=⫖↰⪸17B2","layer":1},{"info":"⫖↰⪸0⇷⫖↰⪸17B2=⫖↰⪸33A4","layer":0}]}
+{"id":730,"expression_no_base_symbol":"⋗⩬⋾(+⊝⨔$1324$)","expression":"⋗⩬⋾(+⊝⨔⫖↰⪸924)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":43,"operation_count":2,"complexity_ratio":21.5,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1324,"base":12}}},"used_operators":["DpFCA1CohY","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫖↰⪸-2786","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1324","layer":2},{"info":"compute unary expreesion, input=1324, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute unary expreesion, input=1522, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4566","layer":0}],"base":12,"result_base":12,"text":"⋗⩬⋾(+⊝⨔⫖↰⪸924)=⫖↰⪸-2786","reverse_text":"⫖↰⪸-2786=⋗⩬⋾(+⊝⨔⫖↰⪸924)","cot":[{"info":"+⊝⨔⫖↰⪸924=⫖↰⪸A6A","layer":1},{"info":"⋗⩬⋾⫖↰⪸A6A=⫖↰⪸-2786","layer":0}]}
+{"id":731,"expression_no_base_symbol":"($1901$⩷∴$4355$)⨓(⫓⪴$4062$)","expression":"(⫖↰⪸1125⩷∴⫖↰⪸262B)⨓(⫓⪴⫖↰⪸2426)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4075,"operation_count":3,"complexity_ratio":1358.3333333333333,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1901,"base":12},"right_expr":{"type":"numeric_atoms","value":4355,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4062,"base":12}}},"used_operators":["3ViojmjbAp","9FxExcQeMw","eLxqMNBOBk"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1901","layer":2},{"info":"number node, value=4355","layer":2},{"info":"compute binary expreesion, left_input=1901, right_input=4355, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4940","layer":1},{"info":"number node, value=4062","layer":2},{"info":"compute unary expreesion, input=4062, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=16499844","layer":1},{"info":"compute binary expreesion, left_input=-4940, right_input=16499844, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1125⩷∴⫖↰⪸262B)⨓(⫓⪴⫖↰⪸2426)=NaN","reverse_text":"NaN=(⫖↰⪸1125⩷∴⫖↰⪸262B)⨓(⫓⪴⫖↰⪸2426)","cot":[{"info":"⫖↰⪸1125⩷∴⫖↰⪸262B=⫖↰⪸-2A38","layer":1},{"info":"⫓⪴⫖↰⪸2426=⫖↰⪸5638630","layer":1},{"info":"⫖↰⪸-2A38⨓⫖↰⪸5638630=NaN","layer":0}]}
+{"id":732,"expression_no_base_symbol":"$2301$⫥∨⫟$8205$+($2811$⊭∹↮)","expression":"⫖↰⪸13B9⫥∨⫟⫖↰⪸48B9+(⫖↰⪸1763⊭∹↮)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":161,"operation_count":3,"complexity_ratio":53.666666666666664,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2301,"base":12},"right_expr":{"type":"numeric_atoms","value":8205,"base":12}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2811,"base":12}}},"used_operators":["W4YGzv6Whe","KYD54nUTWz","xNBdhnnwKq"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2301","layer":2},{"info":"number node, value=8205","layer":2},{"info":"compute binary expreesion, left_input=2301, right_input=8205, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2811","layer":2},{"info":"compute unary expreesion, input=2811, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5622","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5622, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸13B9⫥∨⫟⫖↰⪸48B9+(⫖↰⪸1763⊭∹↮)=NaN","reverse_text":"NaN=⫖↰⪸13B9⫥∨⫟⫖↰⪸48B9+(⫖↰⪸1763⊭∹↮)","cot":[{"info":"⫖↰⪸13B9⫥∨⫟⫖↰⪸48B9=NaN","layer":1},{"info":"⫖↰⪸1763⊭∹↮=⫖↰⪸3306","layer":1},{"info":"NaN+⫖↰⪸3306=NaN","layer":0}]}
+{"id":733,"expression_no_base_symbol":"$9292$≎⊠⪸$2726$∲⫓$2482$≎⊠⪸$1283$","expression":"⫖↰⪸5464≎⊠⪸⫖↰⪸16B2∲⫓⫖↰⪸152A≎⊠⪸⫖↰⪸8AB","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":542,"operation_count":3,"complexity_ratio":180.66666666666666,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":9292,"base":12},"right_expr":{"type":"numeric_atoms","value":2726,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2482,"base":12},"right_expr":{"type":"numeric_atoms","value":1283,"base":12}}},"used_operators":["i8ToyICDmI","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=9292","layer":2},{"info":"number node, value=2726","layer":2},{"info":"compute binary expreesion, left_input=9292, right_input=2726, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2406155","layer":1},{"info":"number node, value=2482","layer":2},{"info":"number node, value=1283","layer":2},{"info":"compute binary expreesion, left_input=2482, right_input=1283, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=642365","layer":1},{"info":"compute binary expreesion, left_input=2406155, right_input=642365, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸5464≎⊠⪸⫖↰⪸16B2∲⫓⫖↰⪸152A≎⊠⪸⫖↰⪸8AB=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫖↰⪸5464≎⊠⪸⫖↰⪸16B2∲⫓⫖↰⪸152A≎⊠⪸⫖↰⪸8AB","cot":[{"info":"⫖↰⪸5464≎⊠⪸⫖↰⪸16B2=⫖↰⪸98054B","layer":1},{"info":"⫖↰⪸152A≎⊠⪸⫖↰⪸8AB=⫖↰⪸26B8A5","layer":1},{"info":"⫖↰⪸98054B∲⫓⫖↰⪸26B8A5=⫖↰⪸0","layer":0}]}
+{"id":734,"expression_no_base_symbol":"($4320$⪨≂$1093$)⫌⩹⨱","expression":"(⫖↰⪸2600⪨≂⫖↰⪸771)⫌⩹⨱","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":2,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4320,"base":12},"right_expr":{"type":"numeric_atoms","value":1093,"base":12}}},"used_operators":["EBcxylXtPf","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸8495","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4320","layer":2},{"info":"number node, value=1093","layer":2},{"info":"compute binary expreesion, left_input=4320, right_input=1093, 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=6556","layer":1},{"info":"compute unary expreesion, input=6556, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=14513","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2600⪨≂⫖↰⪸771)⫌⩹⨱=⫖↰⪸8495","reverse_text":"⫖↰⪸8495=(⫖↰⪸2600⪨≂⫖↰⪸771)⫌⩹⨱","cot":[{"info":"⫖↰⪸2600⪨≂⫖↰⪸771=⫖↰⪸3964","layer":1},{"info":"⫖↰⪸3964⫌⩹⨱=⫖↰⪸8495","layer":0}]}
+{"id":735,"expression_no_base_symbol":"∥⊫$2568$⪮%⊝$5363$","expression":"∥⊫⫖↰⪸15A0⪮%⊝⫖↰⪸312B","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13,"operation_count":2,"complexity_ratio":6.5,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2568,"base":12},"right_expr":{"type":"numeric_atoms","value":5363,"base":12}}},"used_operators":["P8v4zCKN1o","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸37A8","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2568","layer":2},{"info":"number node, value=5363","layer":2},{"info":"compute binary expreesion, left_input=2568, right_input=5363, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5452","layer":1},{"info":"compute unary expreesion, input=5452, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6320","layer":0}],"base":12,"result_base":12,"text":"∥⊫⫖↰⪸15A0⪮%⊝⫖↰⪸312B=⫖↰⪸37A8","reverse_text":"⫖↰⪸37A8=∥⊫⫖↰⪸15A0⪮%⊝⫖↰⪸312B","cot":[{"info":"⫖↰⪸15A0⪮%⊝⫖↰⪸312B=⫖↰⪸31A4","layer":1},{"info":"∥⊫⫖↰⪸31A4=⫖↰⪸37A8","layer":0}]}
+{"id":736,"expression_no_base_symbol":"⫓⪴($2536$≭$4640$)","expression":"⫓⪴(⫖↰⪸1574≭⫖↰⪸2828)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2536,"base":12},"right_expr":{"type":"numeric_atoms","value":4640,"base":12}}},"used_operators":["eLxqMNBOBk","rxpJgHHUmx"],"dependent_operators":["9HNa5Wba9A","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2536","layer":2},{"info":"number node, value=4640","layer":2},{"info":"compute binary expreesion, left_input=2536, right_input=4640, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫓⪴(⫖↰⪸1574≭⫖↰⪸2828)=NaN","reverse_text":"NaN=⫓⪴(⫖↰⪸1574≭⫖↰⪸2828)","cot":[{"info":"⫖↰⪸1574≭⫖↰⪸2828=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
+{"id":737,"expression_no_base_symbol":"($1370$⨵⪆$6837$)⇷($4090$/$1666$)","expression":"(⫖↰⪸962⨵⪆⫖↰⪸3B59)⇷(⫖↰⪸244A/⫖↰⪸B6A)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2249,"operation_count":3,"complexity_ratio":749.6666666666666,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1370,"base":12},"right_expr":{"type":"numeric_atoms","value":6837,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4090,"base":12},"right_expr":{"type":"numeric_atoms","value":1666,"base":12}}},"used_operators":["mp7IySMOzn","2DQ55sFlQl","XhwjNDsVaA"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸4","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1370","layer":2},{"info":"number node, value=6837","layer":2},{"info":"compute binary expreesion, left_input=1370, right_input=6837, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=4090","layer":2},{"info":"number node, value=1666","layer":2},{"info":"compute binary expreesion, left_input=4090, right_input=1666, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=2, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸962⨵⪆⫖↰⪸3B59)⇷(⫖↰⪸244A/⫖↰⪸B6A)=⫖↰⪸4","reverse_text":"⫖↰⪸4=(⫖↰⪸962⨵⪆⫖↰⪸3B59)⇷(⫖↰⪸244A/⫖↰⪸B6A)","cot":[{"info":"⫖↰⪸962⨵⪆⫖↰⪸3B59=⫖↰⪸114","layer":1},{"info":"⫖↰⪸244A/⫖↰⪸B6A=⫖↰⪸2","layer":1},{"info":"⫖↰⪸114⇷⫖↰⪸2=⫖↰⪸4","layer":0}]}
+{"id":738,"expression_no_base_symbol":"($1717$⋥≓≎$2626$)⨪↰⇹($1370$⋥≓≎$4127$)","expression":"(⫖↰⪸BB1⋥≓≎⫖↰⪸162A)⨪↰⇹(⫖↰⪸962⋥≓≎⫖↰⪸247B)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3576,"operation_count":3,"complexity_ratio":1192.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1717,"base":12},"right_expr":{"type":"numeric_atoms","value":2626,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1370,"base":12},"right_expr":{"type":"numeric_atoms","value":4127,"base":12}}},"used_operators":["tmPS8pqC7x","Qy55tPpLXF"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸2094","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1717","layer":2},{"info":"number node, value=2626","layer":2},{"info":"compute binary expreesion, left_input=1717, right_input=2626, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3568","layer":1},{"info":"number node, value=1370","layer":2},{"info":"number node, value=4127","layer":2},{"info":"compute binary expreesion, left_input=1370, right_input=4127, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6917","layer":1},{"info":"compute binary expreesion, left_input=3568, right_input=6917, 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=3568","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸BB1⋥≓≎⫖↰⪸162A)⨪↰⇹(⫖↰⪸962⋥≓≎⫖↰⪸247B)=⫖↰⪸2094","reverse_text":"⫖↰⪸2094=(⫖↰⪸BB1⋥≓≎⫖↰⪸162A)⨪↰⇹(⫖↰⪸962⋥≓≎⫖↰⪸247B)","cot":[{"info":"⫖↰⪸BB1⋥≓≎⫖↰⪸162A=⫖↰⪸2094","layer":1},{"info":"⫖↰⪸962⋥≓≎⫖↰⪸247B=⫖↰⪸4005","layer":1},{"info":"⫖↰⪸2094⨪↰⇹⫖↰⪸4005=⫖↰⪸2094","layer":0}]}
+{"id":739,"expression_no_base_symbol":"$3624$⫥∨⫟$3441$-$3497$⨎$2040$","expression":"⫖↰⪸2120⫥∨⫟⫖↰⪸1BA9-⫖↰⪸2035⨎⫖↰⪸1220","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":156,"operation_count":3,"complexity_ratio":52.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3624,"base":12},"right_expr":{"type":"numeric_atoms","value":3441,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3497,"base":12},"right_expr":{"type":"numeric_atoms","value":2040,"base":12}}},"used_operators":["rysDP5nf3Z","KYD54nUTWz","rJVOvQCfKK"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3624","layer":2},{"info":"number node, value=3441","layer":2},{"info":"compute binary expreesion, left_input=3624, right_input=3441, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3497","layer":2},{"info":"number node, value=2040","layer":2},{"info":"compute binary expreesion, left_input=3497, right_input=2040, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2040","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2040, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2120⫥∨⫟⫖↰⪸1BA9-⫖↰⪸2035⨎⫖↰⪸1220=NaN","reverse_text":"NaN=⫖↰⪸2120⫥∨⫟⫖↰⪸1BA9-⫖↰⪸2035⨎⫖↰⪸1220","cot":[{"info":"⫖↰⪸2120⫥∨⫟⫖↰⪸1BA9=NaN","layer":1},{"info":"⫖↰⪸2035⨎⫖↰⪸1220=⫖↰⪸1220","layer":1},{"info":"NaN-⫖↰⪸1220=NaN","layer":0}]}
+{"id":740,"expression_no_base_symbol":"∥⊫$2446$⨽$2080$","expression":"∥⊫⫖↰⪸14BA⨽⫖↰⪸1254","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2458,"operation_count":2,"complexity_ratio":1229.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2446,"base":12},"right_expr":{"type":"numeric_atoms","value":2080,"base":12}}},"used_operators":["P8v4zCKN1o","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫖↰⪸-47","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2446","layer":2},{"info":"number node, value=2080","layer":2},{"info":"compute binary expreesion, left_input=2446, right_input=2080, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-17953674","layer":1},{"info":"compute unary expreesion, input=-17953674, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":0}],"base":12,"result_base":12,"text":"∥⊫⫖↰⪸14BA⨽⫖↰⪸1254=⫖↰⪸-47","reverse_text":"⫖↰⪸-47=∥⊫⫖↰⪸14BA⨽⫖↰⪸1254","cot":[{"info":"⫖↰⪸14BA⨽⫖↰⪸1254=⫖↰⪸-6019A36","layer":1},{"info":"∥⊫⫖↰⪸-6019A36=⫖↰⪸-47","layer":0}]}
+{"id":741,"expression_no_base_symbol":"$2148$⊴$1192$⊉≛↸(↽≂$5800$)","expression":"⫖↰⪸12B0⊴⫖↰⪸834⊉≛↸(↽≂⫖↰⪸3434)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1478,"operation_count":3,"complexity_ratio":492.6666666666667,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2148,"base":12},"right_expr":{"type":"numeric_atoms","value":1192,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5800,"base":12}}},"used_operators":["DZ8iAZOCBD","Nsiff2A1zJ","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2148","layer":2},{"info":"number node, value=1192","layer":2},{"info":"compute binary expreesion, left_input=2148, right_input=1192, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=5800","layer":2},{"info":"compute unary expreesion, input=5800, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-11600","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-11600, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸12B0⊴⫖↰⪸834⊉≛↸(↽≂⫖↰⪸3434)=NaN","reverse_text":"NaN=⫖↰⪸12B0⊴⫖↰⪸834⊉≛↸(↽≂⫖↰⪸3434)","cot":[{"info":"⫖↰⪸12B0⊴⫖↰⪸834=NaN","layer":1},{"info":"↽≂⫖↰⪸3434=⫖↰⪸-6868","layer":1},{"info":"NaN⊉≛↸⫖↰⪸-6868=NaN","layer":0}]}
+{"id":742,"expression_no_base_symbol":"($1678$↪⪝)⩤","expression":"(⫖↰⪸B7A↪⪝)⩤","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":701,"operation_count":2,"complexity_ratio":350.5,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1678,"base":12}}},"used_operators":["Z2TMIBDE3Q","l07mrZUIn9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"⫖↰⪸-2A46B830","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1678","layer":2},{"info":"compute unary expreesion, input=1678, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=102663396","layer":1},{"info":"compute unary expreesion, input=102663396, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-102663396","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸B7A↪⪝)⩤=⫖↰⪸-2A46B830","reverse_text":"⫖↰⪸-2A46B830=(⫖↰⪸B7A↪⪝)⩤","cot":[{"info":"⫖↰⪸B7A↪⪝=⫖↰⪸2A46B830","layer":1},{"info":"⫖↰⪸2A46B830⩤=⫖↰⪸-2A46B830","layer":0}]}
+{"id":743,"expression_no_base_symbol":"⨰⫟⨤(↔$1261$)","expression":"⨰⫟⨤(↔⫖↰⪸891)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4851,"operation_count":2,"complexity_ratio":2425.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1261,"base":12}}},"used_operators":["Tw270M8GLb","ruOEQAzv1W"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1261","layer":2},{"info":"compute unary expreesion, input=1261, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-988","layer":1},{"info":"compute unary expreesion, input=-988, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨰⫟⨤(↔⫖↰⪸891)=NaN","reverse_text":"NaN=⨰⫟⨤(↔⫖↰⪸891)","cot":[{"info":"↔⫖↰⪸891=⫖↰⪸-6A4","layer":1},{"info":"⨰⫟⨤⫖↰⪸-6A4=NaN","layer":0}]}
+{"id":744,"expression_no_base_symbol":"($1221$↪⪝)⨳⩥⨓(≦∁$3032$)","expression":"(⫖↰⪸859↪⪝)⨳⩥⨓(≦∁⫖↰⪸1908)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":704,"operation_count":3,"complexity_ratio":234.66666666666666,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1221,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3032,"base":12}}},"used_operators":["nCS4ZIUYfx","l07mrZUIn9","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫖↰⪸-2102533A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1221","layer":2},{"info":"compute unary expreesion, input=1221, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=74703222","layer":1},{"info":"number node, value=3032","layer":2},{"info":"compute unary expreesion, input=3032, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3032","layer":1},{"info":"compute binary expreesion, left_input=74703222, right_input=3032, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-74700190","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸859↪⪝)⨳⩥⨓(≦∁⫖↰⪸1908)=⫖↰⪸-2102533A","reverse_text":"⫖↰⪸-2102533A=(⫖↰⪸859↪⪝)⨳⩥⨓(≦∁⫖↰⪸1908)","cot":[{"info":"⫖↰⪸859↪⪝=⫖↰⪸21027046","layer":1},{"info":"≦∁⫖↰⪸1908=⫖↰⪸1908","layer":1},{"info":"⫖↰⪸21027046⨳⩥⨓⫖↰⪸1908=⫖↰⪸-2102533A","layer":0}]}
+{"id":745,"expression_no_base_symbol":"($1000$⨐⩸⫘$1390$)⨐⩸⫘$7297$⨪↰⇹$6273$","expression":"(⫖↰⪸6B4⨐⩸⫘⫖↰⪸97A)⨐⩸⫘⫖↰⪸4281⨪↰⇹⫖↰⪸3769","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7299,"operation_count":3,"complexity_ratio":2433.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1000,"base":12},"right_expr":{"type":"numeric_atoms","value":1390,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7297,"base":12},"right_expr":{"type":"numeric_atoms","value":6273,"base":12}}},"used_operators":["fu6greOZ01","tmPS8pqC7x"],"dependent_operators":["3ViojmjbAp","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1000","layer":2},{"info":"number node, value=1390","layer":2},{"info":"compute binary expreesion, left_input=1000, right_input=1390, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=7297","layer":2},{"info":"number node, value=6273","layer":2},{"info":"compute binary expreesion, left_input=7297, right_input=6273, 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=7297","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7297, 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":12,"result_base":12,"text":"(⫖↰⪸6B4⨐⩸⫘⫖↰⪸97A)⨐⩸⫘⫖↰⪸4281⨪↰⇹⫖↰⪸3769=NaN","reverse_text":"NaN=(⫖↰⪸6B4⨐⩸⫘⫖↰⪸97A)⨐⩸⫘⫖↰⪸4281⨪↰⇹⫖↰⪸3769","cot":[{"info":"⫖↰⪸6B4⨐⩸⫘⫖↰⪸97A=NaN","layer":1},{"info":"⫖↰⪸4281⨪↰⇹⫖↰⪸3769=⫖↰⪸4281","layer":1},{"info":"NaN⨐⩸⫘⫖↰⪸4281=NaN","layer":0}]}
+{"id":746,"expression_no_base_symbol":"($5878$⫌⩹⨱)⋥≓≎(⩦⩻⨪$1890$)","expression":"(⫖↰⪸349A⫌⩹⨱)⋥≓≎(⩦⩻⨪⫖↰⪸1116)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":5878,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1890,"base":12}}},"used_operators":["Qy55tPpLXF","EBcxylXtPf","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-54A8","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5878","layer":2},{"info":"compute unary expreesion, input=5878, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=13157","layer":1},{"info":"number node, value=1890","layer":2},{"info":"compute unary expreesion, input=1890, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1890","layer":1},{"info":"compute binary expreesion, left_input=13157, right_input=1890, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-9344","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸349A⫌⩹⨱)⋥≓≎(⩦⩻⨪⫖↰⪸1116)=⫖↰⪸-54A8","reverse_text":"⫖↰⪸-54A8=(⫖↰⪸349A⫌⩹⨱)⋥≓≎(⩦⩻⨪⫖↰⪸1116)","cot":[{"info":"⫖↰⪸349A⫌⩹⨱=⫖↰⪸7745","layer":1},{"info":"⩦⩻⨪⫖↰⪸1116=⫖↰⪸1116","layer":1},{"info":"⫖↰⪸7745⋥≓≎⫖↰⪸1116=⫖↰⪸-54A8","layer":0}]}
+{"id":747,"expression_no_base_symbol":"∥⊫($1155$⩨$3649$)","expression":"∥⊫(⫖↰⪸803⩨⫖↰⪸2141)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1155,"base":12},"right_expr":{"type":"numeric_atoms","value":3649,"base":12}}},"used_operators":["P8v4zCKN1o","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸5B7","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1155","layer":2},{"info":"number node, value=3649","layer":2},{"info":"compute binary expreesion, left_input=1155, right_input=3649, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":1},{"info":"compute unary expreesion, input=-9, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=859","layer":0}],"base":12,"result_base":12,"text":"∥⊫(⫖↰⪸803⩨⫖↰⪸2141)=⫖↰⪸5B7","reverse_text":"⫖↰⪸5B7=∥⊫(⫖↰⪸803⩨⫖↰⪸2141)","cot":[{"info":"⫖↰⪸803⩨⫖↰⪸2141=⫖↰⪸-9","layer":1},{"info":"∥⊫⫖↰⪸-9=⫖↰⪸5B7","layer":0}]}
+{"id":748,"expression_no_base_symbol":"($2252$⫡⨏$1122$)⪘⫢($5096$↙$1834$)","expression":"(⫖↰⪸1378⫡⨏⫖↰⪸796)⪘⫢(⫖↰⪸2B48↙⫖↰⪸108A)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1853,"operation_count":3,"complexity_ratio":617.6666666666666,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2252,"base":12},"right_expr":{"type":"numeric_atoms","value":1122,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5096,"base":12},"right_expr":{"type":"numeric_atoms","value":1834,"base":12}}},"used_operators":["oacrs7FA3X","QMFrweE19q","yyfyN0ffXY"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2252","layer":2},{"info":"number node, value=1122","layer":2},{"info":"compute binary expreesion, left_input=2252, right_input=1122, 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=14287","layer":1},{"info":"number node, value=5096","layer":2},{"info":"number node, value=1834","layer":2},{"info":"compute binary expreesion, left_input=5096, right_input=1834, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5502","layer":1},{"info":"compute binary expreesion, left_input=14287, right_input=-5502, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1378⫡⨏⫖↰⪸796)⪘⫢(⫖↰⪸2B48↙⫖↰⪸108A)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸1378⫡⨏⫖↰⪸796)⪘⫢(⫖↰⪸2B48↙⫖↰⪸108A)","cot":[{"info":"⫖↰⪸1378⫡⨏⫖↰⪸796=⫖↰⪸8327","layer":1},{"info":"⫖↰⪸2B48↙⫖↰⪸108A=⫖↰⪸-3226","layer":1},{"info":"⫖↰⪸8327⪘⫢⫖↰⪸-3226=⫖↰⪸0","layer":0}]}
+{"id":749,"expression_no_base_symbol":"$1330$⋳⪒$2602$⨽$2642$⨽$3283$","expression":"⫖↰⪸92A⋳⪒⫖↰⪸160A⨽⫖↰⪸1642⨽⫖↰⪸1A97","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2896,"operation_count":3,"complexity_ratio":965.3333333333334,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1330,"base":12},"right_expr":{"type":"numeric_atoms","value":2602,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2642,"base":12},"right_expr":{"type":"numeric_atoms","value":3283,"base":12}}},"used_operators":["8HhzD0ZcuI","12rbrZMWeM"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸18BB3680","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1330","layer":2},{"info":"number node, value=2602","layer":2},{"info":"compute binary expreesion, left_input=1330, right_input=2602, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-229","layer":1},{"info":"number node, value=2642","layer":2},{"info":"number node, value=3283","layer":2},{"info":"compute binary expreesion, left_input=2642, right_input=3283, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-20949027","layer":1},{"info":"compute binary expreesion, left_input=-229, right_input=-20949027, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=62691072","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸92A⋳⪒⫖↰⪸160A⨽⫖↰⪸1642⨽⫖↰⪸1A97=⫖↰⪸18BB3680","reverse_text":"⫖↰⪸18BB3680=⫖↰⪸92A⋳⪒⫖↰⪸160A⨽⫖↰⪸1642⨽⫖↰⪸1A97","cot":[{"info":"⫖↰⪸92A⋳⪒⫖↰⪸160A=⫖↰⪸-171","layer":1},{"info":"⫖↰⪸1642⨽⫖↰⪸1A97=⫖↰⪸-7023343","layer":1},{"info":"⫖↰⪸-171⨽⫖↰⪸-7023343=⫖↰⪸18BB3680","layer":0}]}
+{"id":750,"expression_no_base_symbol":"(∂$1968$)⩤","expression":"(∂⫖↰⪸1180)⩤","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1968,"base":12}}},"used_operators":["Z2TMIBDE3Q","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1968","layer":2},{"info":"compute unary expreesion, input=1968, 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 unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∂⫖↰⪸1180)⩤=NaN","reverse_text":"NaN=(∂⫖↰⪸1180)⩤","cot":[{"info":"∂⫖↰⪸1180=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
+{"id":751,"expression_no_base_symbol":"($3365$⫩⊇)⇼⇔∾$3086$≧⫂∧$2600$","expression":"(⫖↰⪸1B45⫩⊇)⇼⇔∾⫖↰⪸1952≧⫂∧⫖↰⪸1608","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3365,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3086,"base":12},"right_expr":{"type":"numeric_atoms","value":2600,"base":12}}},"used_operators":["tifHPKVTfV","BjRHVeLaeN","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸31A2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3365","layer":2},{"info":"compute unary expreesion, input=3365, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3323","layer":1},{"info":"number node, value=3086","layer":2},{"info":"number node, value=2600","layer":2},{"info":"compute binary expreesion, left_input=3086, right_input=2600, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2127","layer":1},{"info":"compute binary expreesion, left_input=-3323, right_input=2127, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5450","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1B45⫩⊇)⇼⇔∾⫖↰⪸1952≧⫂∧⫖↰⪸1608=⫖↰⪸31A2","reverse_text":"⫖↰⪸31A2=(⫖↰⪸1B45⫩⊇)⇼⇔∾⫖↰⪸1952≧⫂∧⫖↰⪸1608","cot":[{"info":"⫖↰⪸1B45⫩⊇=⫖↰⪸-1B0B","layer":1},{"info":"⫖↰⪸1952≧⫂∧⫖↰⪸1608=⫖↰⪸1293","layer":1},{"info":"⫖↰⪸-1B0B⇼⇔∾⫖↰⪸1293=⫖↰⪸31A2","layer":0}]}
+{"id":752,"expression_no_base_symbol":"$5402$⪛$1012$⋓(⨰⫟⨤$1779$)","expression":"⫖↰⪸3162⪛⫖↰⪸704⋓(⨰⫟⨤⫖↰⪸1043)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6297,"operation_count":3,"complexity_ratio":2099.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5402,"base":12},"right_expr":{"type":"numeric_atoms","value":1012,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1779,"base":12}}},"used_operators":["T2fj7uvVaJ","uFcxV4UQCh","Tw270M8GLb"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5402","layer":2},{"info":"number node, value=1012","layer":2},{"info":"compute binary expreesion, left_input=5402, right_input=1012, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=342","layer":1},{"info":"number node, value=1779","layer":2},{"info":"compute unary expreesion, input=1779, 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=342, 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":12,"result_base":12,"text":"⫖↰⪸3162⪛⫖↰⪸704⋓(⨰⫟⨤⫖↰⪸1043)=NaN","reverse_text":"NaN=⫖↰⪸3162⪛⫖↰⪸704⋓(⨰⫟⨤⫖↰⪸1043)","cot":[{"info":"⫖↰⪸3162⪛⫖↰⪸704=⫖↰⪸246","layer":1},{"info":"⨰⫟⨤⫖↰⪸1043=NaN","layer":1},{"info":"⫖↰⪸246⋓NaN=NaN","layer":0}]}
+{"id":753,"expression_no_base_symbol":"$4457$∑⇟⊟$4813$⋝⋈⪟($1198$-$2048$)","expression":"⫖↰⪸26B5∑⇟⊟⫖↰⪸2951⋝⋈⪟(⫖↰⪸83A-⫖↰⪸1228)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4457,"base":12},"right_expr":{"type":"numeric_atoms","value":4813,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1198,"base":12},"right_expr":{"type":"numeric_atoms","value":2048,"base":12}}},"used_operators":["2DDjHMKMc0","U7g4x0WXJJ","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4457","layer":2},{"info":"number node, value=4813","layer":2},{"info":"compute binary expreesion, left_input=4457, right_input=4813, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1198","layer":2},{"info":"number node, value=2048","layer":2},{"info":"compute binary expreesion, left_input=1198, right_input=2048, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-850","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-850, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸26B5∑⇟⊟⫖↰⪸2951⋝⋈⪟(⫖↰⪸83A-⫖↰⪸1228)=NaN","reverse_text":"NaN=⫖↰⪸26B5∑⇟⊟⫖↰⪸2951⋝⋈⪟(⫖↰⪸83A-⫖↰⪸1228)","cot":[{"info":"⫖↰⪸26B5∑⇟⊟⫖↰⪸2951=NaN","layer":1},{"info":"⫖↰⪸83A-⫖↰⪸1228=⫖↰⪸-5AA","layer":1},{"info":"NaN⋝⋈⪟⫖↰⪸-5AA=NaN","layer":0}]}
+{"id":754,"expression_no_base_symbol":"($4417$⨳⩥⨓$1668$)∀⇚≩($3518$↛⩡⫤)","expression":"(⫖↰⪸2681⨳⩥⨓⫖↰⪸B70)∀⇚≩(⫖↰⪸2052↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29934,"operation_count":3,"complexity_ratio":9978.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4417,"base":12},"right_expr":{"type":"numeric_atoms","value":1668,"base":12}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3518,"base":12}}},"used_operators":["LRNGc0VcxI","nCS4ZIUYfx","FU0Cs4j7VP"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4417","layer":2},{"info":"number node, value=1668","layer":2},{"info":"compute binary expreesion, left_input=4417, right_input=1668, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2749","layer":1},{"info":"number node, value=3518","layer":2},{"info":"compute unary expreesion, input=3518, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-527307","layer":1},{"info":"compute binary expreesion, left_input=-2749, right_input=-527307, 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":12,"result_base":12,"text":"(⫖↰⪸2681⨳⩥⨓⫖↰⪸B70)∀⇚≩(⫖↰⪸2052↛⩡⫤)=NaN","reverse_text":"NaN=(⫖↰⪸2681⨳⩥⨓⫖↰⪸B70)∀⇚≩(⫖↰⪸2052↛⩡⫤)","cot":[{"info":"⫖↰⪸2681⨳⩥⨓⫖↰⪸B70=⫖↰⪸-1711","layer":1},{"info":"⫖↰⪸2052↛⩡⫤=⫖↰⪸-2151A3","layer":1},{"info":"⫖↰⪸-1711∀⇚≩⫖↰⪸-2151A3=NaN","layer":0}]}
+{"id":755,"expression_no_base_symbol":"($1721$⋳⪒$4616$)∑⇟⊟($4111$∑⇟⊟$6037$)","expression":"(⫖↰⪸BB5⋳⪒⫖↰⪸2808)∑⇟⊟(⫖↰⪸2467∑⇟⊟⫖↰⪸35B1)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1721,"base":12},"right_expr":{"type":"numeric_atoms","value":4616,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4111,"base":12},"right_expr":{"type":"numeric_atoms","value":6037,"base":12}}},"used_operators":["U7g4x0WXJJ","12rbrZMWeM"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1721","layer":2},{"info":"number node, value=4616","layer":2},{"info":"compute binary expreesion, left_input=1721, right_input=4616, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1461","layer":1},{"info":"number node, value=4111","layer":2},{"info":"number node, value=6037","layer":2},{"info":"compute binary expreesion, left_input=4111, right_input=6037, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1461, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸BB5⋳⪒⫖↰⪸2808)∑⇟⊟(⫖↰⪸2467∑⇟⊟⫖↰⪸35B1)=NaN","reverse_text":"NaN=(⫖↰⪸BB5⋳⪒⫖↰⪸2808)∑⇟⊟(⫖↰⪸2467∑⇟⊟⫖↰⪸35B1)","cot":[{"info":"⫖↰⪸BB5⋳⪒⫖↰⪸2808=⫖↰⪸-A19","layer":1},{"info":"⫖↰⪸2467∑⇟⊟⫖↰⪸35B1=NaN","layer":1},{"info":"⫖↰⪸-A19∑⇟⊟NaN=NaN","layer":0}]}
+{"id":756,"expression_no_base_symbol":"$3360$⊴$9436$⨪↰⇹($3616$⩚⊴⇥$4011$)","expression":"⫖↰⪸1B40⊴⫖↰⪸5564⨪↰⇹(⫖↰⪸2114⩚⊴⇥⫖↰⪸23A3)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9446,"operation_count":3,"complexity_ratio":3148.6666666666665,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3360,"base":12},"right_expr":{"type":"numeric_atoms","value":9436,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3616,"base":12},"right_expr":{"type":"numeric_atoms","value":4011,"base":12}}},"used_operators":["tmPS8pqC7x","Nsiff2A1zJ","NTOWxs364D"],"dependent_operators":["rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3360","layer":2},{"info":"number node, value=9436","layer":2},{"info":"compute binary expreesion, left_input=3360, right_input=9436, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=3616","layer":2},{"info":"number node, value=4011","layer":2},{"info":"compute binary expreesion, left_input=3616, right_input=4011, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7748","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7748, 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":12,"result_base":12,"text":"⫖↰⪸1B40⊴⫖↰⪸5564⨪↰⇹(⫖↰⪸2114⩚⊴⇥⫖↰⪸23A3)=NaN","reverse_text":"NaN=⫖↰⪸1B40⊴⫖↰⪸5564⨪↰⇹(⫖↰⪸2114⩚⊴⇥⫖↰⪸23A3)","cot":[{"info":"⫖↰⪸1B40⊴⫖↰⪸5564=NaN","layer":1},{"info":"⫖↰⪸2114⩚⊴⇥⫖↰⪸23A3=⫖↰⪸-4598","layer":1},{"info":"NaN⨪↰⇹⫖↰⪸-4598=NaN","layer":0}]}
+{"id":757,"expression_no_base_symbol":"(⫛⫱⨽$1105$)⨰($1089$��≂$2428$)","expression":"(⫛⫱⨽⫖↰⪸781)⨰(⫖↰⪸769⪨≂⫖↰⪸14A4)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1433,"operation_count":3,"complexity_ratio":477.6666666666667,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1105,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1089,"base":12},"right_expr":{"type":"numeric_atoms","value":2428,"base":12}}},"used_operators":["eewbuw0ToL","DlLNRPXxWL","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸15B6","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1105","layer":2},{"info":"compute unary expreesion, input=1105, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=1089","layer":2},{"info":"number node, value=2428","layer":2},{"info":"compute binary expreesion, left_input=1089, right_input=2428, 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=-2576","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-2576, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2586","layer":0}],"base":12,"result_base":12,"text":"(⫛⫱⨽⫖↰⪸781)⨰(⫖↰⪸769⪨≂⫖↰⪸14A4)=⫖↰⪸15B6","reverse_text":"⫖↰⪸15B6=(⫛⫱⨽⫖↰⪸781)⨰(⫖↰⪸769⪨≂⫖↰⪸14A4)","cot":[{"info":"⫛⫱⨽⫖↰⪸781=⫖↰⪸0","layer":1},{"info":"⫖↰⪸769⪨≂⫖↰⪸14A4=⫖↰⪸-15A8","layer":1},{"info":"⫖↰⪸0⨰⫖↰⪸-15A8=⫖↰⪸15B6","layer":0}]}
+{"id":758,"expression_no_base_symbol":"(⨞⊢$1275$)∧","expression":"(⨞⊢⫖↰⪸8A3)∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1275,"base":12}}},"used_operators":["z63VuFQld9","xUOZtlo3hN"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1275","layer":2},{"info":"compute unary expreesion, input=1275, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1449","layer":1},{"info":"compute unary expreesion, input=-1449, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⨞⊢⫖↰⪸8A3)∧=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⨞⊢⫖↰⪸8A3)∧","cot":[{"info":"⨞⊢⫖↰⪸8A3=⫖↰⪸-A09","layer":1},{"info":"⫖↰⪸-A09∧=⫖↰⪸0","layer":0}]}
+{"id":759,"expression_no_base_symbol":"⨵≀≌$4768$⇷$6116$","expression":"⨵≀≌⫖↰⪸2914⇷⫖↰⪸3658","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":66761,"operation_count":2,"complexity_ratio":33380.5,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4768,"base":12},"right_expr":{"type":"numeric_atoms","value":6116,"base":12}}},"used_operators":["srAu1WTS94","mp7IySMOzn"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸-192A0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4768","layer":2},{"info":"number node, value=6116","layer":2},{"info":"compute binary expreesion, left_input=4768, right_input=6116, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12232","layer":1},{"info":"compute unary expreesion, input=12232, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-36696","layer":0}],"base":12,"result_base":12,"text":"⨵≀≌⫖↰⪸2914⇷⫖↰⪸3658=⫖↰⪸-192A0","reverse_text":"⫖↰⪸-192A0=⨵≀≌⫖↰⪸2914⇷⫖↰⪸3658","cot":[{"info":"⫖↰⪸2914⇷⫖↰⪸3658=⫖↰⪸70B4","layer":1},{"info":"⨵≀≌⫖↰⪸70B4=⫖↰⪸-192A0","layer":0}]}
+{"id":760,"expression_no_base_symbol":"(↔$3089$)⊠≄⫣","expression":"(↔⫖↰⪸1955)⊠≄⫣","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3089,"base":12}}},"used_operators":["DIvbN7qnHd","ruOEQAzv1W"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3089","layer":2},{"info":"compute unary expreesion, input=3089, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2816","layer":1},{"info":"compute unary expreesion, input=-2816, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(↔⫖↰⪸1955)⊠≄⫣=⫖↰⪸0","reverse_text":"⫖↰⪸0=(↔⫖↰⪸1955)⊠≄⫣","cot":[{"info":"↔⫖↰⪸1955=⫖↰⪸-1768","layer":1},{"info":"⫖↰⪸-1768⊠≄⫣=⫖↰⪸0","layer":0}]}
+{"id":761,"expression_no_base_symbol":"↔($3253$-$1641$)","expression":"↔(⫖↰⪸1A71-⫖↰⪸B49)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3253,"base":12},"right_expr":{"type":"numeric_atoms","value":1641,"base":12}}},"used_operators":["ruOEQAzv1W","rysDP5nf3Z"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫖↰⪸-937","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3253","layer":2},{"info":"number node, value=1641","layer":2},{"info":"compute binary expreesion, left_input=3253, right_input=1641, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1612","layer":1},{"info":"compute unary expreesion, input=1612, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1339","layer":0}],"base":12,"result_base":12,"text":"↔(⫖↰⪸1A71-⫖↰⪸B49)=⫖↰⪸-937","reverse_text":"⫖↰⪸-937=↔(⫖↰⪸1A71-⫖↰⪸B49)","cot":[{"info":"⫖↰⪸1A71-⫖↰⪸B49=⫖↰⪸B24","layer":1},{"info":"↔⫖↰⪸B24=⫖↰⪸-937","layer":0}]}
+{"id":762,"expression_no_base_symbol":"$3069$⋓$7775$⨎$4850$⨪↰⇹$2552$","expression":"⫖↰⪸1939⋓⫖↰⪸45BB⨎⫖↰⪸2982⨪↰⇹⫖↰⪸1588","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4864,"operation_count":3,"complexity_ratio":1621.3333333333333,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3069,"base":12},"right_expr":{"type":"numeric_atoms","value":7775,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4850,"base":12},"right_expr":{"type":"numeric_atoms","value":2552,"base":12}}},"used_operators":["rJVOvQCfKK","T2fj7uvVaJ","tmPS8pqC7x"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rJVOvQCfKK"],"result":"⫖↰⪸2982","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3069","layer":2},{"info":"number node, value=7775","layer":2},{"info":"compute binary expreesion, left_input=3069, right_input=7775, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=4850","layer":2},{"info":"number node, value=2552","layer":2},{"info":"compute binary expreesion, left_input=4850, right_input=2552, 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=4850","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=4850, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4850","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1939⋓⫖↰⪸45BB⨎⫖↰⪸2982⨪↰⇹⫖↰⪸1588=⫖↰⪸2982","reverse_text":"⫖↰⪸2982=⫖↰⪸1939⋓⫖↰⪸45BB⨎⫖↰⪸2982⨪↰⇹⫖↰⪸1588","cot":[{"info":"⫖↰⪸1939⋓⫖↰⪸45BB=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2982⨪↰⇹⫖↰⪸1588=⫖↰⪸2982","layer":1},{"info":"⫖↰⪸0⨎⫖↰⪸2982=⫖↰⪸2982","layer":0}]}
+{"id":763,"expression_no_base_symbol":"($3381$↪⪝)⪮%⊝($2677$⇼⇔∾$3702$)","expression":"(⫖↰⪸1B59↪⪝)⪮%⊝(⫖↰⪸1671⇼⇔∾⫖↰⪸2186)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":711,"operation_count":3,"complexity_ratio":237.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3381,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2677,"base":12},"right_expr":{"type":"numeric_atoms","value":3702,"base":12}}},"used_operators":["IWmyXbctLI","l07mrZUIn9","tifHPKVTfV"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸B66752B4","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3381","layer":2},{"info":"compute unary expreesion, input=3381, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=206856342","layer":1},{"info":"number node, value=2677","layer":2},{"info":"number node, value=3702","layer":2},{"info":"compute binary expreesion, left_input=2677, right_input=3702, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1025","layer":1},{"info":"compute binary expreesion, left_input=206856342, right_input=1025, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=413713000","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1B59↪⪝)⪮%⊝(⫖↰⪸1671⇼⇔∾⫖↰⪸2186)=⫖↰⪸B66752B4","reverse_text":"⫖↰⪸B66752B4=(⫖↰⪸1B59↪⪝)⪮%⊝(⫖↰⪸1671⇼⇔∾⫖↰⪸2186)","cot":[{"info":"⫖↰⪸1B59↪⪝=⫖↰⪸59338646","layer":1},{"info":"⫖↰⪸1671⇼⇔∾⫖↰⪸2186=⫖↰⪸715","layer":1},{"info":"⫖↰⪸59338646⪮%⊝⫖↰⪸715=⫖↰⪸B66752B4","layer":0}]}
+{"id":764,"expression_no_base_symbol":"($5263$*$3977$)⨓($2631$↺$6149$)","expression":"(⫖↰⪸3067*⫖↰⪸2375)⨓(⫖↰⪸1633↺⫖↰⪸3685)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10134,"operation_count":3,"complexity_ratio":3378.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5263,"base":12},"right_expr":{"type":"numeric_atoms","value":3977,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2631,"base":12},"right_expr":{"type":"numeric_atoms","value":6149,"base":12}}},"used_operators":["3ViojmjbAp","9HNa5Wba9A","7j4O788W3g"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-3688","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5263","layer":2},{"info":"number node, value=3977","layer":2},{"info":"compute binary expreesion, left_input=5263, right_input=3977, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=20930951","layer":1},{"info":"number node, value=2631","layer":2},{"info":"number node, value=6149","layer":2},{"info":"compute binary expreesion, left_input=2631, right_input=6149, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6149","layer":1},{"info":"compute binary expreesion, left_input=20930951, right_input=6149, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6152","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3067*⫖↰⪸2375)⨓(⫖↰⪸1633↺⫖↰⪸3685)=⫖↰⪸-3688","reverse_text":"⫖↰⪸-3688=(⫖↰⪸3067*⫖↰⪸2375)⨓(⫖↰⪸1633↺⫖↰⪸3685)","cot":[{"info":"⫖↰⪸3067*⫖↰⪸2375=⫖↰⪸701499B","layer":1},{"info":"⫖↰⪸1633↺⫖↰⪸3685=⫖↰⪸3685","layer":1},{"info":"⫖↰⪸701499B⨓⫖↰⪸3685=⫖↰⪸-3688","layer":0}]}
+{"id":765,"expression_no_base_symbol":"($4636$⪠⩆⊳)⫡⨏(⨈⫕$1015$)","expression":"(⫖↰⪸2824⪠⩆⊳)⫡⨏(⨈⫕⫖↰⪸707)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":399,"operation_count":3,"complexity_ratio":133.0,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4636,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1015,"base":12}}},"used_operators":["QMFrweE19q","JLbD19bQDL","megm06wKyl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⫖↰⪸519","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4636","layer":2},{"info":"compute unary expreesion, input=4636, 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":"number node, value=1015","layer":2},{"info":"compute unary expreesion, input=1015, 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=0, right_input=-21, 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=741","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2824⪠⩆⊳)⫡⨏(⨈⫕⫖↰⪸707)=⫖↰⪸519","reverse_text":"⫖↰⪸519=(⫖↰⪸2824⪠⩆⊳)⫡⨏(⨈⫕⫖↰⪸707)","cot":[{"info":"⫖↰⪸2824⪠⩆⊳=⫖↰⪸0","layer":1},{"info":"⨈⫕⫖↰⪸707=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸0⫡⨏⫖↰⪸-19=⫖↰⪸519","layer":0}]}
+{"id":766,"expression_no_base_symbol":"⫓⪴($3318$≧⫂∧$1129$)","expression":"⫓⪴(⫖↰⪸1B06≧⫂∧⫖↰⪸7A1)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":657,"operation_count":2,"complexity_ratio":328.5,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3318,"base":12},"right_expr":{"type":"numeric_atoms","value":1129,"base":12}}},"used_operators":["eLxqMNBOBk","Ph9nP6C5qx"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸189054","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3318","layer":2},{"info":"number node, value=1129","layer":2},{"info":"compute binary expreesion, left_input=3318, right_input=1129, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=656","layer":1},{"info":"compute unary expreesion, input=656, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=430336","layer":0}],"base":12,"result_base":12,"text":"⫓⪴(⫖↰⪸1B06≧⫂∧⫖↰⪸7A1)=⫖↰⪸189054","reverse_text":"⫖↰⪸189054=⫓⪴(⫖↰⪸1B06≧⫂∧⫖↰⪸7A1)","cot":[{"info":"⫖↰⪸1B06≧⫂∧⫖↰⪸7A1=⫖↰⪸468","layer":1},{"info":"⫓⪴⫖↰⪸468=⫖↰⪸189054","layer":0}]}
+{"id":767,"expression_no_base_symbol":"(⩦⩻⨪$1259$)⇷($4853$/$1540$)","expression":"(⩦⩻⨪⫖↰⪸88B)⇷(⫖↰⪸2985/⫖↰⪸A84)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17638,"operation_count":3,"complexity_ratio":5879.333333333333,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1259,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4853,"base":12},"right_expr":{"type":"numeric_atoms","value":1540,"base":12}}},"used_operators":["mp7IySMOzn","2td37pGCOC","XhwjNDsVaA"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸6","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1259","layer":2},{"info":"compute unary expreesion, input=1259, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1259","layer":1},{"info":"number node, value=4853","layer":2},{"info":"number node, value=1540","layer":2},{"info":"compute binary expreesion, left_input=4853, right_input=1540, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":1},{"info":"compute binary expreesion, left_input=1259, right_input=3, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6","layer":0}],"base":12,"result_base":12,"text":"(⩦⩻⨪⫖↰⪸88B)⇷(⫖↰⪸2985/⫖↰⪸A84)=⫖↰⪸6","reverse_text":"⫖↰⪸6=(⩦⩻⨪⫖↰⪸88B)⇷(⫖↰⪸2985/⫖↰⪸A84)","cot":[{"info":"⩦⩻⨪⫖↰⪸88B=⫖↰⪸88B","layer":1},{"info":"⫖↰⪸2985/⫖↰⪸A84=⫖↰⪸3","layer":1},{"info":"⫖↰⪸88B⇷⫖↰⪸3=⫖↰⪸6","layer":0}]}
+{"id":768,"expression_no_base_symbol":"⇁⨣⪵$2687$≹⇙⪍$6175$","expression":"⇁⨣⪵⫖↰⪸167B≹⇙⪍⫖↰⪸36A7","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2687,"base":12},"right_expr":{"type":"numeric_atoms","value":6175,"base":12}}},"used_operators":["inkyxCbjAn","AHs5Up7iyr"],"dependent_operators":["B5M0gjZbta","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2687","layer":2},{"info":"number node, value=6175","layer":2},{"info":"compute binary expreesion, left_input=2687, right_input=6175, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⇁⨣⪵⫖↰⪸167B≹��⪍⫖↰⪸36A7=NaN","reverse_text":"NaN=⇁⨣⪵⫖↰⪸167B≹⇙⪍⫖↰⪸36A7","cot":[{"info":"⫖↰⪸167B≹⇙⪍⫖↰⪸36A7=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
+{"id":769,"expression_no_base_symbol":"($1657$*$3046$)≹⇙⪍($5016$⇷$4010$)","expression":"(⫖↰⪸B61*⫖↰⪸191A)≹⇙⪍(⫖↰⪸2AA0⇷⫖↰⪸23A2)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":71888,"operation_count":3,"complexity_ratio":23962.666666666668,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1657,"base":12},"right_expr":{"type":"numeric_atoms","value":3046,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5016,"base":12},"right_expr":{"type":"numeric_atoms","value":4010,"base":12}}},"used_operators":["AHs5Up7iyr","9HNa5Wba9A","mp7IySMOzn"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1657","layer":2},{"info":"number node, value=3046","layer":2},{"info":"compute binary expreesion, left_input=1657, right_input=3046, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5047222","layer":1},{"info":"number node, value=5016","layer":2},{"info":"number node, value=4010","layer":2},{"info":"compute binary expreesion, left_input=5016, right_input=4010, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8020","layer":1},{"info":"compute binary expreesion, left_input=5047222, right_input=8020, 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":12,"result_base":12,"text":"(⫖↰⪸B61*⫖↰⪸191A)≹⇙⪍(⫖↰⪸2AA0⇷⫖↰⪸23A2)=NaN","reverse_text":"NaN=(⫖↰⪸B61*⫖↰⪸191A)≹⇙⪍(⫖↰⪸2AA0⇷⫖↰⪸23A2)","cot":[{"info":"⫖↰⪸B61*⫖↰⪸191A=⫖↰⪸1834A1A","layer":1},{"info":"⫖↰⪸2AA0⇷⫖↰⪸23A2=⫖↰⪸4784","layer":1},{"info":"⫖↰⪸1834A1A≹⇙⪍⫖↰⪸4784=NaN","layer":0}]}
+{"id":770,"expression_no_base_symbol":"($4597$⊉≛↸$2992$)⩚⊴⇥($2205$⪐)","expression":"(⫖↰⪸27B1⊉≛↸⫖↰⪸1894)⩚⊴⇥(⫖↰⪸1339⪐)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4597,"base":12},"right_expr":{"type":"numeric_atoms","value":2992,"base":12}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2205,"base":12}}},"used_operators":["NTOWxs364D","DZ8iAZOCBD","eH2TOUuTDT"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-7B39","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4597","layer":2},{"info":"number node, value=2992","layer":2},{"info":"compute binary expreesion, left_input=4597, right_input=2992, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9194","layer":1},{"info":"number node, value=2205","layer":2},{"info":"compute unary expreesion, input=2205, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4410","layer":1},{"info":"compute binary expreesion, left_input=9194, right_input=4410, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-13725","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸27B1⊉≛↸⫖↰⪸1894)⩚⊴⇥(⫖↰⪸1339⪐)=⫖↰⪸-7B39","reverse_text":"⫖↰⪸-7B39=(⫖↰⪸27B1⊉≛↸⫖↰⪸1894)⩚⊴⇥(⫖↰⪸1339⪐)","cot":[{"info":"⫖↰⪸27B1⊉≛↸⫖↰⪸1894=⫖↰⪸53A2","layer":1},{"info":"⫖↰⪸1339⪐=⫖↰⪸2676","layer":1},{"info":"⫖↰⪸53A2⩚⊴⇥⫖↰⪸2676=⫖↰⪸-7B39","layer":0}]}
+{"id":771,"expression_no_base_symbol":"$6871$⪢$1557$⩷∴$1438$∑⇟⊟$1609$","expression":"⫖↰⪸3B87⪢⫖↰⪸A99⩷∴⫖↰⪸9BA∑⇟⊟⫖↰⪸B21","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13407,"operation_count":3,"complexity_ratio":4469.0,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6871,"base":12},"right_expr":{"type":"numeric_atoms","value":1557,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1438,"base":12},"right_expr":{"type":"numeric_atoms","value":1609,"base":12}}},"used_operators":["9FxExcQeMw","dWAJyo7jo9","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6871","layer":2},{"info":"number node, value=1557","layer":2},{"info":"compute binary expreesion, left_input=6871, right_input=1557, 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=1438","layer":2},{"info":"number node, value=1609","layer":2},{"info":"compute binary expreesion, left_input=1438, right_input=1609, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3B87⪢⫖↰⪸A99⩷∴⫖↰⪸9BA∑⇟⊟⫖↰⪸B21=NaN","reverse_text":"NaN=⫖↰⪸3B87⪢⫖↰⪸A99⩷∴⫖↰⪸9BA∑⇟⊟⫖↰⪸B21","cot":[{"info":"⫖↰⪸3B87⪢⫖↰⪸A99=NaN","layer":1},{"info":"⫖↰⪸9BA∑⇟⊟⫖↰⪸B21=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
+{"id":772,"expression_no_base_symbol":"$3260$≹⇙⪍$5209$≹⇙⪍(↔$3305$)","expression":"⫖↰⪸1A78≹⇙⪍⫖↰⪸3021≹⇙⪍(↔⫖↰⪸1AB5)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3260,"base":12},"right_expr":{"type":"numeric_atoms","value":5209,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3305,"base":12}}},"used_operators":["AHs5Up7iyr","ruOEQAzv1W"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3260","layer":2},{"info":"number node, value=5209","layer":2},{"info":"compute binary expreesion, left_input=3260, right_input=5209, 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=3305","layer":2},{"info":"compute unary expreesion, input=3305, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3032","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3032, 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":12,"result_base":12,"text":"⫖↰⪸1A78≹⇙⪍⫖↰⪸3021≹⇙⪍(↔⫖↰⪸1AB5)=NaN","reverse_text":"NaN=⫖↰⪸1A78≹⇙⪍⫖↰⪸3021≹⇙⪍(↔⫖↰⪸1AB5)","cot":[{"info":"⫖↰⪸1A78≹⇙⪍⫖↰⪸3021=NaN","layer":1},{"info":"↔⫖↰⪸1AB5=⫖↰⪸-1908","layer":1},{"info":"NaN≹⇙⪍⫖↰⪸-1908=NaN","layer":0}]}
+{"id":773,"expression_no_base_symbol":"+⊝⨔($5358$⩷∴$2497$)","expression":"+⊝⨔(⫖↰⪸3126⩷∴⫖↰⪸1541)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":46,"operation_count":2,"complexity_ratio":23.0,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5358,"base":12},"right_expr":{"type":"numeric_atoms","value":2497,"base":12}}},"used_operators":["DhbWaqg5eL","9FxExcQeMw"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5358","layer":2},{"info":"number node, value=2497","layer":2},{"info":"compute binary expreesion, left_input=5358, right_input=2497, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5690","layer":1},{"info":"compute unary expreesion, input=5690, 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":12,"result_base":12,"text":"+⊝⨔(⫖↰⪸3126⩷∴⫖↰⪸1541)=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔(⫖↰⪸3126⩷∴⫖↰⪸1541)","cot":[{"info":"⫖↰⪸3126⩷∴⫖↰⪸1541=⫖↰⪸3362","layer":1},{"info":"+⊝⨔⫖↰⪸3362=⫖↰⪸A6A","layer":0}]}
+{"id":774,"expression_no_base_symbol":"$1015$⨎$1693$⪒$1059$⨟⋌⩍$3237$","expression":"⫖↰⪸707⨎⫖↰⪸B91⪒⫖↰⪸743⨟⋌⩍⫖↰⪸1A59","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1015,"base":12},"right_expr":{"type":"numeric_atoms","value":1693,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1059,"base":12},"right_expr":{"type":"numeric_atoms","value":3237,"base":12}}},"used_operators":["f6k1SAg4EE","rJVOvQCfKK","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1015","layer":2},{"info":"number node, value=1693","layer":2},{"info":"compute binary expreesion, left_input=1015, right_input=1693, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1693","layer":1},{"info":"number node, value=1059","layer":2},{"info":"number node, value=3237","layer":2},{"info":"compute binary expreesion, left_input=1059, right_input=3237, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1693, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸707⨎⫖↰⪸B91⪒⫖↰⪸743⨟⋌⩍⫖↰⪸1A59=NaN","reverse_text":"NaN=⫖↰⪸707⨎⫖↰⪸B91⪒⫖↰⪸743⨟⋌⩍⫖↰⪸1A59","cot":[{"info":"⫖↰⪸707⨎⫖↰⪸B91=⫖↰⪸B91","layer":1},{"info":"⫖↰⪸743⨟⋌⩍⫖↰⪸1A59=NaN","layer":1},{"info":"⫖↰⪸B91⪒NaN=NaN","layer":0}]}
+{"id":775,"expression_no_base_symbol":"∥⊫$3006$⩚⊴⇥$5721$","expression":"∥⊫⫖↰⪸18A6⩚⊴⇥⫖↰⪸3389","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3006,"base":12},"right_expr":{"type":"numeric_atoms","value":5721,"base":12}}},"used_operators":["P8v4zCKN1o","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-47","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3006","layer":2},{"info":"number node, value=5721","layer":2},{"info":"compute binary expreesion, left_input=3006, right_input=5721, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8848","layer":1},{"info":"compute unary expreesion, input=-8848, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":0}],"base":12,"result_base":12,"text":"∥⊫⫖↰⪸18A6⩚⊴⇥⫖↰⪸3389=⫖↰⪸-47","reverse_text":"⫖↰⪸-47=∥⊫⫖↰⪸18A6⩚⊴⇥⫖↰⪸3389","cot":[{"info":"⫖↰⪸18A6⩚⊴⇥⫖↰⪸3389=⫖↰⪸-5154","layer":1},{"info":"∥⊫⫖↰⪸-5154=⫖↰⪸-47","layer":0}]}
+{"id":776,"expression_no_base_symbol":"$1226$∑⇟⊟$1800$⋷$3601$⋳⪒$2611$","expression":"⫖↰⪸862∑⇟⊟⫖↰⪸1060⋷⫖↰⪸2101⋳⪒⫖↰⪸1617","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1226,"base":12},"right_expr":{"type":"numeric_atoms","value":1800,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3601,"base":12},"right_expr":{"type":"numeric_atoms","value":2611,"base":12}}},"used_operators":["23Mk6UjR3U","U7g4x0WXJJ","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1226","layer":2},{"info":"number node, value=1800","layer":2},{"info":"compute binary expreesion, left_input=1226, right_input=1800, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=3601","layer":2},{"info":"number node, value=2611","layer":2},{"info":"compute binary expreesion, left_input=3601, right_input=2611, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4304","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4304, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸862∑⇟⊟⫖↰⪸1060⋷⫖↰⪸2101⋳⪒⫖↰⪸1617=NaN","reverse_text":"NaN=⫖↰⪸862∑⇟⊟⫖↰⪸1060⋷⫖↰⪸2101⋳⪒⫖↰⪸1617","cot":[{"info":"⫖↰⪸862∑⇟⊟⫖↰⪸1060=NaN","layer":1},{"info":"⫖↰⪸2101⋳⪒⫖↰⪸1617=⫖↰⪸25A8","layer":1},{"info":"NaN⋷⫖↰⪸25A8=NaN","layer":0}]}
+{"id":777,"expression_no_base_symbol":"$1149$⩚⊴⇥$2944$%($4652$/$1107$)","expression":"⫖↰⪸7B9⩚⊴⇥⫖↰⪸1854%(⫖↰⪸2838/⫖↰⪸783)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1060,"operation_count":3,"complexity_ratio":353.3333333333333,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1149,"base":12},"right_expr":{"type":"numeric_atoms","value":2944,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4652,"base":12},"right_expr":{"type":"numeric_atoms","value":1107,"base":12}}},"used_operators":["k8jYdgA6NY","NTOWxs364D","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z"],"result":"⫖↰⪸2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1149","layer":2},{"info":"number node, value=2944","layer":2},{"info":"compute binary expreesion, left_input=1149, right_input=2944, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4214","layer":1},{"info":"number node, value=4652","layer":2},{"info":"number node, value=1107","layer":2},{"info":"compute binary expreesion, left_input=4652, right_input=1107, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":1},{"info":"compute binary expreesion, left_input=-4214, right_input=4, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸7B9⩚⊴⇥⫖↰⪸1854%(⫖↰⪸2838/⫖↰⪸783)=⫖↰⪸2","reverse_text":"⫖↰⪸2=⫖↰⪸7B9⩚⊴⇥⫖↰⪸1854%(⫖↰⪸2838/⫖↰⪸783)","cot":[{"info":"⫖↰⪸7B9⩚⊴⇥⫖↰⪸1854=⫖↰⪸-2532","layer":1},{"info":"⫖↰⪸2838/⫖↰⪸783=⫖↰⪸4","layer":1},{"info":"⫖↰⪸-2532%⫖↰⪸4=⫖↰⪸2","layer":0}]}
+{"id":778,"expression_no_base_symbol":"⩦⩻⨪$5247$⪛$4155$","expression":"⩦⩻⨪⫖↰⪸3053⪛⫖↰⪸24A3","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5247,"base":12},"right_expr":{"type":"numeric_atoms","value":4155,"base":12}}},"used_operators":["2td37pGCOC","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫖↰⪸770","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5247","layer":2},{"info":"number node, value=4155","layer":2},{"info":"compute binary expreesion, left_input=5247, right_input=4155, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1092","layer":1},{"info":"compute unary expreesion, input=1092, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1092","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪⫖↰⪸3053⪛⫖↰⪸24A3=⫖↰⪸770","reverse_text":"⫖↰⪸770=⩦⩻⨪⫖↰⪸3053⪛⫖↰⪸24A3","cot":[{"info":"⫖↰⪸3053⪛⫖↰⪸24A3=⫖↰⪸770","layer":1},{"info":"⩦⩻⨪⫖↰⪸770=⫖↰⪸770","layer":0}]}
+{"id":779,"expression_no_base_symbol":"(≦∁$1832$)-$1726$⨟⋌⩍$1045$","expression":"(≦∁⫖↰⪸1088)-⫖↰⪸BBA⨟⋌⩍⫖↰⪸731","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1832,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1726,"base":12},"right_expr":{"type":"numeric_atoms","value":1045,"base":12}}},"used_operators":["rysDP5nf3Z","9ICcGScMcE","rGHVDoGpnC"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1832","layer":2},{"info":"compute unary expreesion, input=1832, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1832","layer":1},{"info":"number node, value=1726","layer":2},{"info":"number node, value=1045","layer":2},{"info":"compute binary expreesion, left_input=1726, right_input=1045, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1832, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≦∁⫖↰⪸1088)-⫖↰⪸BBA⨟⋌⩍⫖↰⪸731=NaN","reverse_text":"NaN=(≦∁⫖↰⪸1088)-⫖↰⪸BBA⨟⋌⩍⫖↰⪸731","cot":[{"info":"≦∁⫖↰⪸1088=⫖↰⪸1088","layer":1},{"info":"⫖↰⪸BBA⨟⋌⩍⫖↰⪸731=NaN","layer":1},{"info":"⫖↰⪸1088-NaN=NaN","layer":0}]}
+{"id":780,"expression_no_base_symbol":"($1252$⊭∹↮)-$4404$≹⇙⪍$1002$","expression":"(⫖↰⪸884⊭∹↮)-⫖↰⪸2670≹⇙⪍⫖↰⪸6B6","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1252,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4404,"base":12},"right_expr":{"type":"numeric_atoms","value":1002,"base":12}}},"used_operators":["rysDP5nf3Z","xNBdhnnwKq","AHs5Up7iyr"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1252","layer":2},{"info":"compute unary expreesion, input=1252, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2504","layer":1},{"info":"number node, value=4404","layer":2},{"info":"number node, value=1002","layer":2},{"info":"compute binary expreesion, left_input=4404, right_input=1002, 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=2504, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸884⊭∹↮)-⫖↰⪸2670≹⇙⪍⫖↰⪸6B6=NaN","reverse_text":"NaN=(⫖↰⪸884⊭∹↮)-⫖↰⪸2670≹⇙⪍⫖↰⪸6B6","cot":[{"info":"⫖↰⪸884⊭∹↮=⫖↰⪸1548","layer":1},{"info":"⫖↰⪸2670≹⇙⪍⫖↰⪸6B6=NaN","layer":1},{"info":"⫖↰⪸1548-NaN=NaN","layer":0}]}
+{"id":781,"expression_no_base_symbol":"$3937$∀⇚≩$8397$⪒(↽≂$1120$)","expression":"⫖↰⪸2341∀⇚≩⫖↰⪸4A39⪒(↽≂⫖↰⪸794)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27565,"operation_count":3,"complexity_ratio":9188.333333333334,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3937,"base":12},"right_expr":{"type":"numeric_atoms","value":8397,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1120,"base":12}}},"used_operators":["f6k1SAg4EE","LRNGc0VcxI","u6S6b8DprG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3937","layer":2},{"info":"number node, value=8397","layer":2},{"info":"compute binary expreesion, left_input=3937, right_input=8397, 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=1120","layer":2},{"info":"compute unary expreesion, input=1120, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2240","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2240, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2341∀⇚≩⫖↰⪸4A39⪒(↽≂⫖↰⪸794)=NaN","reverse_text":"NaN=⫖↰⪸2341∀⇚≩⫖↰⪸4A39⪒(↽≂⫖↰⪸794)","cot":[{"info":"⫖↰⪸2341∀⇚≩⫖↰⪸4A39=NaN","layer":1},{"info":"↽≂⫖↰⪸794=⫖↰⪸-1368","layer":1},{"info":"NaN⪒⫖↰⪸-1368=NaN","layer":0}]}
+{"id":782,"expression_no_base_symbol":"($2129$⋝⋈⪟$1004$)∀⇚≩$7569$∀⇚≩$1034$","expression":"(⫖↰⪸1295⋝⋈⪟⫖↰⪸6B8)∀⇚≩⫖↰⪸4469∀⇚≩⫖↰⪸722","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":67889,"operation_count":3,"complexity_ratio":22629.666666666668,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2129,"base":12},"right_expr":{"type":"numeric_atoms","value":1004,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":7569,"base":12},"right_expr":{"type":"numeric_atoms","value":1034,"base":12}}},"used_operators":["LRNGc0VcxI","2DDjHMKMc0"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2129","layer":2},{"info":"number node, value=1004","layer":2},{"info":"compute binary expreesion, left_input=2129, right_input=1004, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2129","layer":1},{"info":"number node, value=7569","layer":2},{"info":"number node, value=1034","layer":2},{"info":"compute binary expreesion, left_input=7569, right_input=1034, 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=2129, 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":12,"result_base":12,"text":"(⫖↰⪸1295⋝⋈⪟⫖↰⪸6B8)∀⇚≩⫖↰⪸4469∀⇚≩⫖↰⪸722=NaN","reverse_text":"NaN=(⫖↰⪸1295⋝⋈⪟⫖↰⪸6B8)∀⇚≩⫖↰⪸4469∀⇚≩⫖↰⪸722","cot":[{"info":"⫖↰⪸1295⋝⋈⪟⫖↰⪸6B8=⫖↰⪸1295","layer":1},{"info":"⫖↰⪸4469∀⇚≩⫖↰⪸722=NaN","layer":1},{"info":"⫖↰⪸1295∀⇚≩NaN=NaN","layer":0}]}
+{"id":783,"expression_no_base_symbol":"($3973$≋⫹)≭($2067$∸)","expression":"(⫖↰⪸2371≋⫹)≭(⫖↰⪸1243∸)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":181,"operation_count":3,"complexity_ratio":60.333333333333336,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3973,"base":12}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2067,"base":12}}},"used_operators":["rxpJgHHUmx","N41Kp7NANJ","o20kRiQErp"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3973","layer":2},{"info":"compute unary expreesion, input=3973, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-7946","layer":1},{"info":"number node, value=2067","layer":2},{"info":"compute unary expreesion, input=2067, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=-7946, right_input=177, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2371≋⫹)≭(⫖↰⪸1243∸)=NaN","reverse_text":"NaN=(⫖↰⪸2371≋⫹)≭(⫖↰⪸1243∸)","cot":[{"info":"⫖↰⪸2371≋⫹=⫖↰⪸-4722","layer":1},{"info":"⫖↰⪸1243∸=⫖↰⪸129","layer":1},{"info":"⫖↰⪸-4722≭⫖↰⪸129=NaN","layer":0}]}
+{"id":784,"expression_no_base_symbol":"($2206$⪐)⩠","expression":"(⫖↰⪸133A⪐)⩠","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2206,"base":12}}},"used_operators":["sJAwomhLZr","eH2TOUuTDT"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2206","layer":2},{"info":"compute unary expreesion, input=2206, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4412","layer":1},{"info":"compute unary expreesion, input=4412, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸133A⪐)⩠=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸133A⪐)⩠","cot":[{"info":"⫖↰⪸133A⪐=⫖↰⪸2678","layer":1},{"info":"⫖↰⪸2678⩠=⫖↰⪸0","layer":0}]}
+{"id":785,"expression_no_base_symbol":"$1777$⪢$3767$∑⇟⊟($5117$⫡⨏$3308$)","expression":"⫖↰⪸1041⪢⫖↰⪸221B∑⇟⊟(⫖↰⪸2B65⫡⨏⫖↰⪸1AB8)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3775,"operation_count":3,"complexity_ratio":1258.3333333333333,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1777,"base":12},"right_expr":{"type":"numeric_atoms","value":3767,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5117,"base":12},"right_expr":{"type":"numeric_atoms","value":3308,"base":12}}},"used_operators":["U7g4x0WXJJ","dWAJyo7jo9","QMFrweE19q"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1777","layer":2},{"info":"number node, value=3767","layer":2},{"info":"compute binary expreesion, left_input=1777, right_input=3767, 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=5117","layer":2},{"info":"number node, value=3308","layer":2},{"info":"compute binary expreesion, left_input=5117, right_input=3308, 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=32984","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=32984, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1041⪢⫖↰⪸221B∑⇟⊟(⫖↰⪸2B65⫡⨏⫖↰⪸1AB8)=NaN","reverse_text":"NaN=⫖↰⪸1041⪢⫖↰⪸221B∑⇟⊟(⫖↰⪸2B65⫡⨏⫖↰⪸1AB8)","cot":[{"info":"⫖↰⪸1041⪢⫖↰⪸221B=NaN","layer":1},{"info":"⫖↰⪸2B65⫡⨏⫖↰⪸1AB8=⫖↰⪸17108","layer":1},{"info":"NaN∑⇟⊟⫖↰⪸17108=NaN","layer":0}]}
+{"id":786,"expression_no_base_symbol":"$6616$∼$4680$⋳⪒($1945$⨵⪆$4050$)","expression":"⫖↰⪸39B4∼⫖↰⪸2860⋳⪒(⫖↰⪸1161⨵⪆⫖↰⪸2416)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":139,"operation_count":3,"complexity_ratio":46.333333333333336,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6616,"base":12},"right_expr":{"type":"numeric_atoms","value":4680,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1945,"base":12},"right_expr":{"type":"numeric_atoms","value":4050,"base":12}}},"used_operators":["12rbrZMWeM","DyGG3AbaNP","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6616","layer":2},{"info":"number node, value=4680","layer":2},{"info":"compute binary expreesion, left_input=6616, right_input=4680, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=1945","layer":2},{"info":"number node, value=4050","layer":2},{"info":"compute binary expreesion, left_input=1945, right_input=4050, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸39B4∼⫖↰⪸2860⋳⪒(⫖↰⪸1161⨵⪆⫖↰⪸2416)=NaN","reverse_text":"NaN=⫖↰⪸39B4∼⫖↰⪸2860⋳⪒(⫖↰⪸1161⨵⪆⫖↰⪸2416)","cot":[{"info":"⫖↰⪸39B4∼⫖↰⪸2860=NaN","layer":1},{"info":"⫖↰⪸1161⨵⪆⫖↰⪸2416=⫖↰⪸114","layer":1},{"info":"NaN⋳⪒⫖↰⪸114=NaN","layer":0}]}
+{"id":787,"expression_no_base_symbol":"⫓⪴($1973$∑⇟⊟$1216$)","expression":"⫓⪴(⫖↰⪸1185∑⇟⊟⫖↰⪸854)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1973,"base":12},"right_expr":{"type":"numeric_atoms","value":1216,"base":12}}},"used_operators":["eLxqMNBOBk","U7g4x0WXJJ"],"dependent_operators":["9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1973","layer":2},{"info":"number node, value=1216","layer":2},{"info":"compute binary expreesion, left_input=1973, right_input=1216, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫓⪴(⫖↰⪸1185∑⇟⊟⫖↰⪸854)=NaN","reverse_text":"NaN=⫓⪴(⫖↰⪸1185∑⇟⊟⫖↰⪸854)","cot":[{"info":"⫖↰⪸1185∑⇟⊟⫖↰⪸854=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
+{"id":788,"expression_no_base_symbol":"($3279$⊦⊿)≭$3667$⨪↰⇹$3156$","expression":"(⫖↰⪸1A93⊦⊿)≭⫖↰⪸2157⨪↰⇹⫖↰⪸19B0","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3674,"operation_count":3,"complexity_ratio":1224.6666666666667,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3279,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3667,"base":12},"right_expr":{"type":"numeric_atoms","value":3156,"base":12}}},"used_operators":["rxpJgHHUmx","14qkJME0vr","tmPS8pqC7x"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3279","layer":2},{"info":"compute unary expreesion, input=3279, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-9916","layer":1},{"info":"number node, value=3667","layer":2},{"info":"number node, value=3156","layer":2},{"info":"compute binary expreesion, left_input=3667, right_input=3156, 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=3667","layer":1},{"info":"compute binary expreesion, left_input=-9916, right_input=3667, 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":12,"result_base":12,"text":"(⫖↰⪸1A93⊦⊿)≭⫖↰⪸2157⨪↰⇹⫖↰⪸19B0=NaN","reverse_text":"NaN=(⫖↰⪸1A93⊦⊿)≭⫖↰⪸2157⨪↰⇹⫖↰⪸19B0","cot":[{"info":"⫖↰⪸1A93⊦⊿=⫖↰⪸-58A4","layer":1},{"info":"⫖↰⪸2157⨪↰⇹⫖↰⪸19B0=⫖↰⪸2157","layer":1},{"info":"⫖↰⪸-58A4≭⫖↰⪸2157=NaN","layer":0}]}
+{"id":789,"expression_no_base_symbol":"($4358$-$1113$)∑⇟⊟(⫛⫱⨽$4613$)","expression":"(⫖↰⪸2632-⫖↰⪸789)∑⇟⊟(⫛⫱⨽⫖↰⪸2805)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1424,"operation_count":3,"complexity_ratio":474.6666666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4358,"base":12},"right_expr":{"type":"numeric_atoms","value":1113,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4613,"base":12}}},"used_operators":["U7g4x0WXJJ","rysDP5nf3Z","DlLNRPXxWL"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC"],"result":"⫖↰⪸1A65","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4358","layer":2},{"info":"number node, value=1113","layer":2},{"info":"compute binary expreesion, left_input=4358, right_input=1113, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3245","layer":1},{"info":"number node, value=4613","layer":2},{"info":"compute unary expreesion, input=4613, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=3245, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=3245","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2632-⫖↰⪸789)∑⇟⊟(⫛⫱⨽⫖↰⪸2805)=⫖↰⪸1A65","reverse_text":"⫖↰⪸1A65=(⫖↰⪸2632-⫖↰⪸789)∑⇟⊟(⫛⫱⨽⫖↰⪸2805)","cot":[{"info":"⫖↰⪸2632-⫖↰⪸789=⫖↰⪸1A65","layer":1},{"info":"⫛⫱⨽⫖↰⪸2805=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1A65∑⇟⊟⫖↰⪸0=⫖↰⪸1A65","layer":0}]}
+{"id":790,"expression_no_base_symbol":"(⨵≀≌$3189$)⊘","expression":"(⨵≀≌⫖↰⪸1A19)⊘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24,"operation_count":2,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3189,"base":12}}},"used_operators":["gu96TGCTMs","srAu1WTS94"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫖↰⪸-1","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3189","layer":2},{"info":"compute unary expreesion, input=3189, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9567","layer":1},{"info":"compute unary expreesion, input=-9567, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":0}],"base":12,"result_base":12,"text":"(⨵≀≌⫖↰⪸1A19)⊘=⫖↰⪸-1","reverse_text":"⫖↰⪸-1=(⨵≀≌⫖↰⪸1A19)⊘","cot":[{"info":"⨵≀≌⫖↰⪸1A19=⫖↰⪸-5653","layer":1},{"info":"⫖↰⪸-5653⊘=⫖↰⪸-1","layer":0}]}
+{"id":791,"expression_no_base_symbol":"$2426$⨟⋌⩍$3266$%($6450$⨵⪆$6129$)","expression":"⫖↰⪸14A2⨟⋌⩍⫖↰⪸1A82%(⫖↰⪸3896⨵⪆⫖↰⪸3669)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2426,"base":12},"right_expr":{"type":"numeric_atoms","value":3266,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6450,"base":12},"right_expr":{"type":"numeric_atoms","value":6129,"base":12}}},"used_operators":["k8jYdgA6NY","rGHVDoGpnC","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2426","layer":2},{"info":"number node, value=3266","layer":2},{"info":"compute binary expreesion, left_input=2426, right_input=3266, 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=6450","layer":2},{"info":"number node, value=6129","layer":2},{"info":"compute binary expreesion, left_input=6450, right_input=6129, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸14A2⨟⋌⩍⫖↰⪸1A82%(⫖↰⪸3896⨵⪆⫖↰⪸3669)=NaN","reverse_text":"NaN=⫖↰⪸14A2⨟⋌⩍⫖↰⪸1A82%(⫖↰⪸3896⨵⪆⫖↰⪸3669)","cot":[{"info":"⫖↰⪸14A2⨟⋌⩍⫖↰⪸1A82=NaN","layer":1},{"info":"⫖↰⪸3896⨵⪆⫖↰⪸3669=⫖↰⪸114","layer":1},{"info":"NaN%⫖↰⪸114=NaN","layer":0}]}
+{"id":792,"expression_no_base_symbol":"($2505$⪐)⨵⪆$8333$↺$2080$","expression":"(⫖↰⪸1549⪐)⨵⪆⫖↰⪸49A5↺⫖↰⪸1254","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2505,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":8333,"base":12},"right_expr":{"type":"numeric_atoms","value":2080,"base":12}}},"used_operators":["2DQ55sFlQl","eH2TOUuTDT","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2505","layer":2},{"info":"compute unary expreesion, input=2505, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5010","layer":1},{"info":"number node, value=8333","layer":2},{"info":"number node, value=2080","layer":2},{"info":"compute binary expreesion, left_input=8333, right_input=2080, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2080","layer":1},{"info":"compute binary expreesion, left_input=5010, right_input=2080, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1549⪐)⨵⪆⫖↰⪸49A5↺⫖↰⪸1254=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⫖↰⪸1549⪐)⨵⪆⫖↰⪸49A5↺⫖↰⪸1254","cot":[{"info":"⫖↰⪸1549⪐=⫖↰⪸2A96","layer":1},{"info":"⫖↰⪸49A5↺⫖↰⪸1254=⫖↰⪸1254","layer":1},{"info":"⫖↰⪸2A96⨵⪆⫖↰⪸1254=⫖↰⪸114","layer":0}]}
+{"id":793,"expression_no_base_symbol":"$1907$⊭↱$1277$-$7286$⨐⩸⫘$5483$","expression":"⫖↰⪸112B⊭↱⫖↰⪸8A5-⫖↰⪸4272⨐⩸⫘⫖↰⪸320B","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1907,"base":12},"right_expr":{"type":"numeric_atoms","value":1277,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7286,"base":12},"right_expr":{"type":"numeric_atoms","value":5483,"base":12}}},"used_operators":["rysDP5nf3Z","COABgblf1C","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1907","layer":2},{"info":"number node, value=1277","layer":2},{"info":"compute binary expreesion, left_input=1907, right_input=1277, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1255","layer":1},{"info":"number node, value=7286","layer":2},{"info":"number node, value=5483","layer":2},{"info":"compute binary expreesion, left_input=7286, right_input=5483, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1255, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸112B⊭↱⫖↰⪸8A5-⫖↰⪸4272⨐⩸⫘⫖↰⪸320B=NaN","reverse_text":"NaN=⫖↰⪸112B⊭↱⫖↰⪸8A5-⫖↰⪸4272⨐⩸⫘⫖↰⪸320B","cot":[{"info":"⫖↰⪸112B⊭↱⫖↰⪸8A5=⫖↰⪸-887","layer":1},{"info":"⫖↰⪸4272⨐⩸⫘⫖↰⪸320B=NaN","layer":1},{"info":"⫖↰⪸-887-NaN=NaN","layer":0}]}
+{"id":794,"expression_no_base_symbol":"(∥⊫$4516$)⫥∨⫟($8529$⫡⨏$3099$)","expression":"(∥⊫⫖↰⪸2744)⫥∨⫟(⫖↰⪸4B29⫡⨏⫖↰⪸1963)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":165,"operation_count":3,"complexity_ratio":55.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4516,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8529,"base":12},"right_expr":{"type":"numeric_atoms","value":3099,"base":12}}},"used_operators":["KYD54nUTWz","P8v4zCKN1o","QMFrweE19q"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4516","layer":2},{"info":"compute unary expreesion, input=4516, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5384","layer":1},{"info":"number node, value=8529","layer":2},{"info":"number node, value=3099","layer":2},{"info":"compute binary expreesion, left_input=8529, right_input=3099, 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=49626","layer":1},{"info":"compute binary expreesion, left_input=5384, right_input=49626, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∥⊫⫖↰⪸2744)⫥∨⫟(⫖↰⪸4B29⫡⨏⫖↰⪸1963)=NaN","reverse_text":"NaN=(∥⊫⫖↰⪸2744)⫥∨⫟(⫖↰⪸4B29⫡⨏⫖↰⪸1963)","cot":[{"info":"∥⊫⫖↰⪸2744=⫖↰⪸3148","layer":1},{"info":"⫖↰⪸4B29⫡⨏⫖↰⪸1963=⫖↰⪸24876","layer":1},{"info":"⫖↰⪸3148⫥∨⫟⫖↰⪸24876=NaN","layer":0}]}
+{"id":795,"expression_no_base_symbol":"$3232$⪛$2397$↺(↔$4157$)","expression":"⫖↰⪸1A54⪛⫖↰⪸1479↺(↔⫖↰⪸24A5)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3232,"base":12},"right_expr":{"type":"numeric_atoms","value":2397,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4157,"base":12}}},"used_operators":["7j4O788W3g","uFcxV4UQCh","ruOEQAzv1W"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫖↰⪸-22B8","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3232","layer":2},{"info":"number node, value=2397","layer":2},{"info":"compute binary expreesion, left_input=3232, right_input=2397, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=835","layer":1},{"info":"number node, value=4157","layer":2},{"info":"compute unary expreesion, input=4157, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3884","layer":1},{"info":"compute binary expreesion, left_input=835, right_input=-3884, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-3884","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1A54⪛⫖↰⪸1479↺(↔⫖↰⪸24A5)=⫖↰⪸-22B8","reverse_text":"⫖↰⪸-22B8=⫖↰⪸1A54⪛⫖↰⪸1479↺(↔⫖↰⪸24A5)","cot":[{"info":"⫖↰⪸1A54⪛⫖↰⪸1479=⫖↰⪸597","layer":1},{"info":"↔⫖↰⪸24A5=⫖↰⪸-22B8","layer":1},{"info":"⫖↰⪸597↺⫖↰⪸-22B8=⫖↰⪸-22B8","layer":0}]}
+{"id":796,"expression_no_base_symbol":"⨵≀≌$3998$⨓$1244$","expression":"⨵≀≌⫖↰⪸2392⨓⫖↰⪸878","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2502,"operation_count":2,"complexity_ratio":1251.0,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3998,"base":12},"right_expr":{"type":"numeric_atoms","value":1244,"base":12}}},"used_operators":["srAu1WTS94","3ViojmjbAp"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫖↰⪸62BA81","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3998","layer":2},{"info":"number node, value=1244","layer":2},{"info":"compute binary expreesion, left_input=3998, right_input=1244, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1247","layer":1},{"info":"compute unary expreesion, input=-1247, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=1555009","layer":0}],"base":12,"result_base":12,"text":"⨵≀≌⫖↰⪸2392⨓⫖↰⪸878=⫖↰⪸62BA81","reverse_text":"⫖↰⪸62BA81=⨵≀≌⫖↰⪸2392⨓⫖↰⪸878","cot":[{"info":"⫖↰⪸2392⨓⫖↰⪸878=⫖↰⪸-87B","layer":1},{"info":"⨵≀≌⫖↰⪸-87B=⫖↰⪸62BA81","layer":0}]}
+{"id":797,"expression_no_base_symbol":"($1666$⋫)∑⇟⊟($2587$⩨$1993$)","expression":"(⫖↰⪸B6A⋫)∑⇟⊟(⫖↰⪸15B7⩨⫖↰⪸11A1)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1671,"operation_count":3,"complexity_ratio":557.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1666,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2587,"base":12},"right_expr":{"type":"numeric_atoms","value":1993,"base":12}}},"used_operators":["U7g4x0WXJJ","JL8yIekQnl","2DlMacCsIx"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸B6A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1666","layer":2},{"info":"compute unary expreesion, input=1666, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1666","layer":1},{"info":"number node, value=2587","layer":2},{"info":"number node, value=1993","layer":2},{"info":"compute binary expreesion, left_input=2587, right_input=1993, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1666, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=1666","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸B6A⋫)∑⇟⊟(⫖↰⪸15B7⩨⫖↰⪸11A1)=⫖↰⪸B6A","reverse_text":"⫖↰⪸B6A=(⫖↰⪸B6A⋫)∑⇟⊟(⫖↰⪸15B7⩨⫖↰⪸11A1)","cot":[{"info":"⫖↰⪸B6A⋫=⫖↰⪸B6A","layer":1},{"info":"⫖↰⪸15B7⩨⫖↰⪸11A1=⫖↰⪸0","layer":1},{"info":"⫖↰⪸B6A∑⇟⊟⫖↰⪸0=⫖↰⪸B6A","layer":0}]}
+{"id":798,"expression_no_base_symbol":"∂$1465$⨪↰⇹$1715$","expression":"∂⫖↰⪸A21⨪↰⇹⫖↰⪸BAB","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":1466,"operation_count":2,"complexity_ratio":733.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1465,"base":12},"right_expr":{"type":"numeric_atoms","value":1715,"base":12}}},"used_operators":["Uaa54Peajs","tmPS8pqC7x"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1465","layer":2},{"info":"number node, value=1715","layer":2},{"info":"compute binary expreesion, left_input=1465, right_input=1715, 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=1465","layer":1},{"info":"compute unary expreesion, input=1465, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∂⫖↰⪸A21⨪↰⇹⫖↰⪸BAB=NaN","reverse_text":"NaN=∂⫖↰⪸A21⨪↰⇹⫖↰⪸BAB","cot":[{"info":"⫖↰⪸A21⨪↰⇹⫖↰⪸BAB=⫖↰⪸A21","layer":1},{"info":"∂⫖↰⪸A21=NaN","layer":0}]}
+{"id":799,"expression_no_base_symbol":"$3916$⋥≓≎$4689$⪄$3194$↙$1684$","expression":"⫖↰⪸2324⋥≓≎⫖↰⪸2869⪄⫖↰⪸1A22↙⫖↰⪸B84","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1785,"operation_count":3,"complexity_ratio":595.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3916,"base":12},"right_expr":{"type":"numeric_atoms","value":4689,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3194,"base":12},"right_expr":{"type":"numeric_atoms","value":1684,"base":12}}},"used_operators":["SUmda5xLS4","Qy55tPpLXF","yyfyN0ffXY"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⫖↰⪸-320819","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3916","layer":2},{"info":"number node, value=4689","layer":2},{"info":"compute binary expreesion, left_input=3916, right_input=4689, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5495","layer":1},{"info":"number node, value=3194","layer":2},{"info":"number node, value=1684","layer":2},{"info":"compute binary expreesion, left_input=3194, right_input=1684, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5052","layer":1},{"info":"compute binary expreesion, left_input=5495, right_input=-5052, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-789141","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2324⋥≓≎⫖↰⪸2869⪄⫖↰⪸1A22↙⫖↰⪸B84=⫖↰⪸-320819","reverse_text":"⫖↰⪸-320819=⫖↰⪸2324⋥≓≎⫖↰⪸2869⪄⫖↰⪸1A22↙⫖↰⪸B84","cot":[{"info":"⫖↰⪸2324⋥≓≎⫖↰⪸2869=⫖↰⪸321B","layer":1},{"info":"⫖↰⪸1A22↙⫖↰⪸B84=⫖↰⪸-2B10","layer":1},{"info":"⫖↰⪸321B⪄⫖↰⪸-2B10=⫖↰⪸-320819","layer":0}]}
+{"id":800,"expression_no_base_symbol":"$1910$⨰$1292$/$2996$⨽$4909$","expression":"⫖↰⪸1132⨰⫖↰⪸8B8/⫖↰⪸1898⨽⫖↰⪸2A11","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3012,"operation_count":3,"complexity_ratio":1004.0,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1910,"base":12},"right_expr":{"type":"numeric_atoms","value":1292,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2996,"base":12},"right_expr":{"type":"numeric_atoms","value":4909,"base":12}}},"used_operators":["XhwjNDsVaA","eewbuw0ToL","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫖↰⪸-1","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1910","layer":2},{"info":"number node, value=1292","layer":2},{"info":"compute binary expreesion, left_input=1910, right_input=1292, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=628","layer":1},{"info":"number node, value=2996","layer":2},{"info":"number node, value=4909","layer":2},{"info":"compute binary expreesion, left_input=2996, right_input=4909, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-26941461","layer":1},{"info":"compute binary expreesion, left_input=628, right_input=-26941461, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1132⨰⫖↰⪸8B8/⫖↰⪸1898⨽⫖↰⪸2A11=⫖↰⪸-1","reverse_text":"⫖↰⪸-1=⫖↰⪸1132⨰⫖↰⪸8B8/⫖↰⪸1898⨽⫖↰⪸2A11","cot":[{"info":"⫖↰⪸1132⨰⫖↰⪸8B8=⫖↰⪸444","layer":1},{"info":"⫖↰⪸1898⨽⫖↰⪸2A11=⫖↰⪸-9033159","layer":1},{"info":"⫖↰⪸444/⫖↰⪸-9033159=⫖↰⪸-1","layer":0}]}
+{"id":801,"expression_no_base_symbol":"($1574$⋥≓≎$6492$)⪢($4592$⊠≄⫣)","expression":"(⫖↰⪸AB2⋥≓≎⫖↰⪸3910)⪢(⫖↰⪸27A8⊠≄⫣)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1574,"base":12},"right_expr":{"type":"numeric_atoms","value":6492,"base":12}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4592,"base":12}}},"used_operators":["dWAJyo7jo9","Qy55tPpLXF","DIvbN7qnHd"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1574","layer":2},{"info":"number node, value=6492","layer":2},{"info":"compute binary expreesion, left_input=1574, right_input=6492, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=11443","layer":1},{"info":"number node, value=4592","layer":2},{"info":"compute unary expreesion, input=4592, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=11443, 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":0}],"base":12,"result_base":12,"text":"(⫖↰⪸AB2⋥≓≎⫖↰⪸3910)⪢(⫖↰⪸27A8⊠≄⫣)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸AB2⋥≓≎⫖↰⪸3910)⪢(⫖↰⪸27A8⊠≄⫣)","cot":[{"info":"⫖↰⪸AB2⋥≓≎⫖↰⪸3910=⫖↰⪸6757","layer":1},{"info":"⫖↰⪸27A8⊠≄⫣=⫖↰⪸0","layer":1},{"info":"⫖↰⪸6757⪢⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":802,"expression_no_base_symbol":"⫛⫱⨽(⪲⇎$3751$)","expression":"⫛⫱⨽(⪲⇎⫖↰⪸2207)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1424,"operation_count":2,"complexity_ratio":712.0,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3751,"base":12}}},"used_operators":["DlLNRPXxWL","XPYlsWDdGa"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3751","layer":2},{"info":"compute unary expreesion, input=3751, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7502","layer":1},{"info":"compute unary expreesion, input=7502, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫛⫱⨽(⪲⇎⫖↰⪸2207)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫛⫱⨽(⪲⇎⫖↰⪸2207)","cot":[{"info":"⪲⇎⫖↰⪸2207=⫖↰⪸4412","layer":1},{"info":"⫛⫱⨽⫖↰⪸4412=⫖↰⪸0","layer":0}]}
+{"id":803,"expression_no_base_symbol":"↥($3004$⋷$1227$)","expression":"↥(⫖↰⪸18A4⋷⫖↰⪸863)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13,"operation_count":2,"complexity_ratio":6.5,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3004,"base":12},"right_expr":{"type":"numeric_atoms","value":1227,"base":12}}},"used_operators":["A8NUZmVepG","23Mk6UjR3U"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸B","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3004","layer":2},{"info":"number node, value=1227","layer":2},{"info":"compute binary expreesion, left_input=3004, right_input=1227, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-550","layer":1},{"info":"compute unary expreesion, input=-550, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=11","layer":0}],"base":12,"result_base":12,"text":"↥(⫖↰⪸18A4⋷⫖↰⪸863)=⫖↰⪸B","reverse_text":"⫖↰⪸B=↥(⫖↰⪸18A4⋷⫖↰⪸863)","cot":[{"info":"⫖↰⪸18A4⋷⫖↰⪸863=⫖↰⪸-39A","layer":1},{"info":"↥⫖↰⪸-39A=⫖↰⪸B","layer":0}]}
+{"id":804,"expression_no_base_symbol":"⨈⫕(⇁⨣⪵$2879$)","expression":"⨈⫕(⇁⨣⪵⫖↰⪸17BB)","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":387,"operation_count":2,"complexity_ratio":193.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2879,"base":12}}},"used_operators":["megm06wKyl","inkyxCbjAn"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","B5M0gjZbta"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2879","layer":2},{"info":"compute unary expreesion, input=2879, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":12,"result_base":12,"text":"⨈⫕(⇁⨣⪵⫖↰⪸17BB)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=⨈⫕(⇁⨣⪵⫖↰⪸17BB)","cot":[{"info":"⇁⨣⪵⫖↰⪸17BB=NaN","layer":1},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":0}]}
+{"id":805,"expression_no_base_symbol":"↥(∥⊫$5651$)","expression":"↥(∥⊫⫖↰⪸332B)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":131,"operation_count":2,"complexity_ratio":65.5,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5651,"base":12}}},"used_operators":["A8NUZmVepG","P8v4zCKN1o"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸36","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5651","layer":2},{"info":"compute unary expreesion, input=5651, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6519","layer":1},{"info":"compute unary expreesion, input=6519, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=42","layer":0}],"base":12,"result_base":12,"text":"↥(∥⊫⫖↰⪸332B)=⫖↰⪸36","reverse_text":"⫖↰⪸36=↥(∥⊫⫖↰⪸332B)","cot":[{"info":"∥⊫⫖↰⪸332B=⫖↰⪸3933","layer":1},{"info":"↥⫖↰⪸3933=⫖↰⪸36","layer":0}]}
+{"id":806,"expression_no_base_symbol":"$2511$⨳⩥⨓$9914$*$2709$↙$1460$","expression":"⫖↰⪸1553⨳⩥⨓⫖↰⪸58A2*⫖↰⪸1699↙⫖↰⪸A18","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5846,"operation_count":3,"complexity_ratio":1948.6666666666667,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2511,"base":12},"right_expr":{"type":"numeric_atoms","value":9914,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2709,"base":12},"right_expr":{"type":"numeric_atoms","value":1460,"base":12}}},"used_operators":["9HNa5Wba9A","nCS4ZIUYfx","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY"],"result":"⫖↰⪸-AA38670","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2511","layer":2},{"info":"number node, value=9914","layer":2},{"info":"compute binary expreesion, left_input=2511, right_input=9914, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=7403","layer":1},{"info":"number node, value=2709","layer":2},{"info":"number node, value=1460","layer":2},{"info":"compute binary expreesion, left_input=2709, right_input=1460, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4380","layer":1},{"info":"compute binary expreesion, left_input=7403, right_input=-4380, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-32425140","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1553⨳⩥⨓⫖↰⪸58A2*⫖↰⪸1699↙⫖↰⪸A18=⫖↰⪸-AA38670","reverse_text":"⫖↰⪸-AA38670=⫖↰⪸1553⨳⩥⨓⫖↰⪸58A2*⫖↰⪸1699↙⫖↰⪸A18","cot":[{"info":"⫖↰⪸1553⨳⩥⨓⫖↰⪸58A2=⫖↰⪸434B","layer":1},{"info":"⫖↰⪸1699↙⫖↰⪸A18=⫖↰⪸-2650","layer":1},{"info":"⫖↰⪸434B*⫖↰⪸-2650=⫖↰⪸-AA38670","layer":0}]}
+{"id":807,"expression_no_base_symbol":"$1421$⪘⫢$1624$≧⫂∧$9034$⪮%⊝$1412$","expression":"⫖↰⪸9A5⪘⫢⫖↰⪸B34≧⫂∧⫖↰⪸528A⪮%⊝⫖↰⪸998","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1421,"base":12},"right_expr":{"type":"numeric_atoms","value":1624,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":9034,"base":12},"right_expr":{"type":"numeric_atoms","value":1412,"base":12}}},"used_operators":["Ph9nP6C5qx","oacrs7FA3X","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸A447","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1421","layer":2},{"info":"number node, value=1624","layer":2},{"info":"compute binary expreesion, left_input=1421, right_input=1624, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2718","layer":1},{"info":"number node, value=9034","layer":2},{"info":"number node, value=1412","layer":2},{"info":"compute binary expreesion, left_input=9034, right_input=1412, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=18384","layer":1},{"info":"compute binary expreesion, left_input=2718, right_input=18384, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=17911","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸9A5⪘⫢⫖↰⪸B34≧⫂∧⫖↰⪸528A⪮%⊝⫖↰⪸998=⫖↰⪸A447","reverse_text":"⫖↰⪸A447=⫖↰⪸9A5⪘⫢⫖↰⪸B34≧⫂∧⫖↰⪸528A⪮%⊝⫖↰⪸998","cot":[{"info":"⫖↰⪸9A5⪘⫢⫖↰⪸B34=⫖↰⪸16A6","layer":1},{"info":"⫖↰⪸528A⪮%⊝⫖↰⪸998=⫖↰⪸A780","layer":1},{"info":"⫖↰⪸16A6≧⫂∧⫖↰⪸A780=⫖↰⪸A447","layer":0}]}
+{"id":808,"expression_no_base_symbol":"⨑⩽⪐(⇁⨣⪵$1876$)","expression":"⨑⩽⪐(⇁⨣⪵⫖↰⪸1104)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1876,"base":12}}},"used_operators":["AF7qkfDlqP","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1876","layer":2},{"info":"compute unary expreesion, input=1876, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬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":12,"result_base":12,"text":"⨑⩽⪐(⇁⨣⪵⫖↰⪸1104)=NaN","reverse_text":"NaN=⨑⩽⪐(⇁⨣⪵⫖↰⪸1104)","cot":[{"info":"⇁⨣⪵⫖↰⪸1104=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
+{"id":809,"expression_no_base_symbol":"($1709$↪⪝)⨵⪆$2090$⨪↰⇹$4821$","expression":"(⫖↰⪸BA5↪⪝)⨵⪆⫖↰⪸1262⨪↰⇹⫖↰⪸2959","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2791,"operation_count":3,"complexity_ratio":930.3333333333334,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1709,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2090,"base":12},"right_expr":{"type":"numeric_atoms","value":4821,"base":12}}},"used_operators":["2DQ55sFlQl","l07mrZUIn9","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rJVOvQCfKK"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1709","layer":2},{"info":"compute unary expreesion, input=1709, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=104560038","layer":1},{"info":"number node, value=2090","layer":2},{"info":"number node, value=4821","layer":2},{"info":"compute binary expreesion, left_input=2090, right_input=4821, 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=2090","layer":1},{"info":"compute binary expreesion, left_input=104560038, right_input=2090, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸BA5↪⪝)⨵⪆⫖↰⪸1262⨪↰⇹⫖↰⪸2959=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⫖↰⪸BA5↪⪝)⨵⪆⫖↰⪸1262⨪↰⇹⫖↰⪸2959","cot":[{"info":"⫖↰⪸BA5↪⪝=⫖↰⪸2B025346","layer":1},{"info":"⫖↰⪸1262⨪↰⇹⫖↰⪸2959=⫖↰⪸1262","layer":1},{"info":"⫖↰⪸2B025346⨵⪆⫖↰⪸1262=⫖↰⪸114","layer":0}]}
+{"id":810,"expression_no_base_symbol":"($4900$⋷$5737$)⪒$2453$⋓$2466$","expression":"(⫖↰⪸2A04⋷⫖↰⪸33A1)⪒⫖↰⪸1505⋓⫖↰⪸1516","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4900,"base":12},"right_expr":{"type":"numeric_atoms","value":5737,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2453,"base":12},"right_expr":{"type":"numeric_atoms","value":2466,"base":12}}},"used_operators":["f6k1SAg4EE","23Mk6UjR3U","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫖↰⪸-397A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4900","layer":2},{"info":"number node, value=5737","layer":2},{"info":"compute binary expreesion, left_input=4900, right_input=5737, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6574","layer":1},{"info":"number node, value=2453","layer":2},{"info":"number node, value=2466","layer":2},{"info":"compute binary expreesion, left_input=2453, right_input=2466, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=6574, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6574","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2A04⋷⫖↰⪸33A1)⪒⫖↰⪸1505⋓⫖↰⪸1516=⫖↰⪸-397A","reverse_text":"⫖↰⪸-397A=(⫖↰⪸2A04⋷⫖↰⪸33A1)⪒⫖↰⪸1505⋓⫖↰⪸1516","cot":[{"info":"⫖↰⪸2A04⋷⫖↰⪸33A1=⫖↰⪸397A","layer":1},{"info":"⫖↰⪸1505⋓⫖↰⪸1516=⫖↰⪸0","layer":1},{"info":"⫖↰⪸397A⪒⫖↰⪸0=⫖↰⪸-397A","layer":0}]}
+{"id":811,"expression_no_base_symbol":"$1858$⨎$5119$⫥∨⫟(⋗⩬⋾$1147$)","expression":"⫖↰⪸10AA⨎⫖↰⪸2B67⫥∨⫟(⋗⩬⋾⫖↰⪸7B7)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":158,"operation_count":3,"complexity_ratio":52.666666666666664,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1858,"base":12},"right_expr":{"type":"numeric_atoms","value":5119,"base":12}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1147,"base":12}}},"used_operators":["KYD54nUTWz","rJVOvQCfKK","DpFCA1CohY"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1858","layer":2},{"info":"number node, value=5119","layer":2},{"info":"compute binary expreesion, left_input=1858, right_input=5119, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5119","layer":1},{"info":"number node, value=1147","layer":2},{"info":"compute unary expreesion, input=1147, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3441","layer":1},{"info":"compute binary expreesion, left_input=5119, right_input=-3441, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸10AA⨎⫖↰⪸2B67⫥∨⫟(⋗⩬⋾⫖↰⪸7B7)=NaN","reverse_text":"NaN=⫖↰⪸10AA⨎⫖↰⪸2B67⫥∨⫟(⋗⩬⋾⫖↰⪸7B7)","cot":[{"info":"⫖↰⪸10AA⨎⫖↰⪸2B67=⫖↰⪸2B67","layer":1},{"info":"⋗⩬⋾⫖↰⪸7B7=⫖↰⪸-1BA9","layer":1},{"info":"⫖↰⪸2B67⫥∨⫟⫖↰⪸-1BA9=NaN","layer":0}]}
+{"id":812,"expression_no_base_symbol":"(⩦⩻⨪$1157$)⊉≛↸($1311$+$3027$)","expression":"(⩦⩻⨪⫖↰⪸805)⊉≛↸(⫖↰⪸913+⫖↰⪸1903)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1157,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1311,"base":12},"right_expr":{"type":"numeric_atoms","value":3027,"base":12}}},"used_operators":["DZ8iAZOCBD","2td37pGCOC","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸140A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1157","layer":2},{"info":"compute unary expreesion, input=1157, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1157","layer":1},{"info":"number node, value=1311","layer":2},{"info":"number node, value=3027","layer":2},{"info":"compute binary expreesion, left_input=1311, right_input=3027, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4338","layer":1},{"info":"compute binary expreesion, left_input=1157, right_input=4338, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2314","layer":0}],"base":12,"result_base":12,"text":"(⩦⩻⨪⫖↰⪸805)⊉≛↸(⫖↰⪸913+⫖↰⪸1903)=⫖↰⪸140A","reverse_text":"⫖↰⪸140A=(⩦⩻⨪⫖↰⪸805)⊉≛↸(⫖↰⪸913+⫖↰⪸1903)","cot":[{"info":"⩦⩻⨪⫖↰⪸805=⫖↰⪸805","layer":1},{"info":"⫖↰⪸913+⫖↰⪸1903=⫖↰⪸2616","layer":1},{"info":"⫖↰⪸805⊉≛↸⫖↰⪸2616=⫖↰⪸140A","layer":0}]}
+{"id":813,"expression_no_base_symbol":"($1685$⫡⨏$6739$)⨪↰⇹(⊙↵-$1896$)","expression":"(⫖↰⪸B85⫡⨏⫖↰⪸3A97)⨪↰⇹(⊙↵-⫖↰⪸1120)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24635,"operation_count":3,"complexity_ratio":8211.666666666666,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1685,"base":12},"right_expr":{"type":"numeric_atoms","value":6739,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1896,"base":12}}},"used_operators":["tmPS8pqC7x","QMFrweE19q","oWn0xqSxBt"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫖↰⪸11166","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1685","layer":2},{"info":"number node, value=6739","layer":2},{"info":"compute binary expreesion, left_input=1685, right_input=6739, 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=22686","layer":1},{"info":"number node, value=1896","layer":2},{"info":"compute unary expreesion, input=1896, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=22686, right_input=-1, 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=22686","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸B85⫡⨏⫖↰⪸3A97)⨪↰⇹(⊙↵-⫖↰⪸1120)=⫖↰⪸11166","reverse_text":"⫖↰⪸11166=(⫖↰⪸B85⫡⨏⫖↰⪸3A97)⨪↰⇹(⊙↵-⫖↰⪸1120)","cot":[{"info":"⫖↰⪸B85⫡⨏⫖↰⪸3A97=⫖↰⪸11166","layer":1},{"info":"⊙↵-⫖↰⪸1120=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸11166⨪↰⇹⫖↰⪸-1=⫖↰⪸11166","layer":0}]}
+{"id":814,"expression_no_base_symbol":"$2286$∀⇚≩$3337$∑⇟⊟($1288$⩷∴$4322$)","expression":"⫖↰⪸13A6∀⇚≩⫖↰⪸1B21∑⇟⊟(⫖↰⪸8B4⩷∴⫖↰⪸2602)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16009,"operation_count":3,"complexity_ratio":5336.333333333333,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2286,"base":12},"right_expr":{"type":"numeric_atoms","value":3337,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1288,"base":12},"right_expr":{"type":"numeric_atoms","value":4322,"base":12}}},"used_operators":["U7g4x0WXJJ","LRNGc0VcxI","9FxExcQeMw"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","X99M06cbEe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2286","layer":2},{"info":"number node, value=3337","layer":2},{"info":"compute binary expreesion, left_input=2286, right_input=3337, 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=1288","layer":2},{"info":"number node, value=4322","layer":2},{"info":"compute binary expreesion, left_input=1288, right_input=4322, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6100","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6100, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸13A6∀⇚≩⫖↰⪸1B21∑⇟⊟(⫖↰⪸8B4⩷∴⫖↰⪸2602)=NaN","reverse_text":"NaN=⫖↰⪸13A6∀⇚≩⫖↰⪸1B21∑⇟⊟(⫖↰⪸8B4⩷∴⫖↰⪸2602)","cot":[{"info":"⫖↰⪸13A6∀⇚≩⫖↰⪸1B21=NaN","layer":1},{"info":"⫖↰⪸8B4⩷∴⫖↰⪸2602=⫖↰⪸-3644","layer":1},{"info":"NaN∑⇟⊟⫖↰⪸-3644=NaN","layer":0}]}
+{"id":815,"expression_no_base_symbol":"($6868$*$1900$)≭($2918$∲⫓$1032$)","expression":"(⫖↰⪸3B84*⫖↰⪸1124)≭(⫖↰⪸1832∲⫓⫖↰⪸720)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1903,"operation_count":3,"complexity_ratio":634.3333333333334,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6868,"base":12},"right_expr":{"type":"numeric_atoms","value":1900,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2918,"base":12},"right_expr":{"type":"numeric_atoms","value":1032,"base":12}}},"used_operators":["rxpJgHHUmx","9HNa5Wba9A","i8ToyICDmI"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-1A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6868","layer":2},{"info":"number node, value=1900","layer":2},{"info":"compute binary expreesion, left_input=6868, right_input=1900, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13049200","layer":1},{"info":"number node, value=2918","layer":2},{"info":"number node, value=1032","layer":2},{"info":"compute binary expreesion, left_input=2918, right_input=1032, 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=13049200, 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":12,"result_base":12,"text":"(⫖↰⪸3B84*⫖↰⪸1124)≭(⫖↰⪸1832∲⫓⫖↰⪸720)=⫖↰⪸-1A","reverse_text":"⫖↰⪸-1A=(⫖↰⪸3B84*⫖↰⪸1124)≭(⫖↰⪸1832∲⫓⫖↰⪸720)","cot":[{"info":"⫖↰⪸3B84*⫖↰⪸1124=⫖↰⪸4453754","layer":1},{"info":"⫖↰⪸1832∲⫓⫖↰⪸720=⫖↰⪸0","layer":1},{"info":"⫖↰⪸4453754≭⫖↰⪸0=⫖↰⪸-1A","layer":0}]}
+{"id":816,"expression_no_base_symbol":"⨵≀≌$2215$↺$2282$","expression":"⨵≀≌⫖↰⪸1347↺⫖↰⪸13A2","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2215,"base":12},"right_expr":{"type":"numeric_atoms","value":2282,"base":12}}},"used_operators":["srAu1WTS94","7j4O788W3g"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-3B66","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2215","layer":2},{"info":"number node, value=2282","layer":2},{"info":"compute binary expreesion, left_input=2215, right_input=2282, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2282","layer":1},{"info":"compute unary expreesion, input=2282, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6846","layer":0}],"base":12,"result_base":12,"text":"⨵≀≌⫖↰⪸1347↺⫖↰⪸13A2=⫖↰⪸-3B66","reverse_text":"⫖↰⪸-3B66=⨵≀≌⫖↰⪸1347↺⫖↰⪸13A2","cot":[{"info":"⫖↰⪸1347↺⫖↰⪸13A2=⫖↰⪸13A2","layer":1},{"info":"⨵≀≌⫖↰⪸13A2=⫖↰⪸-3B66","layer":0}]}
+{"id":817,"expression_no_base_symbol":"($2330$⨵⪆$5236$)⊉≛↸($2970$⇼⇔∾$5813$)","expression":"(⫖↰⪸1422⨵⪆⫖↰⪸3044)⊉≛↸(⫖↰⪸1876⇼⇔∾⫖↰⪸3445)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2330,"base":12},"right_expr":{"type":"numeric_atoms","value":5236,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2970,"base":12},"right_expr":{"type":"numeric_atoms","value":5813,"base":12}}},"used_operators":["DZ8iAZOCBD","2DQ55sFlQl","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸228","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2330","layer":2},{"info":"number node, value=5236","layer":2},{"info":"compute binary expreesion, left_input=2330, right_input=5236, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2970","layer":2},{"info":"number node, value=5813","layer":2},{"info":"compute binary expreesion, left_input=2970, right_input=5813, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2843","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=2843, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=320","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1422⨵⪆⫖↰⪸3044)⊉≛↸(⫖↰⪸1876⇼⇔∾⫖↰⪸3445)=⫖↰⪸228","reverse_text":"⫖↰⪸228=(⫖↰⪸1422⨵⪆⫖↰���3044)⊉≛↸(⫖↰⪸1876⇼⇔∾⫖↰⪸3445)","cot":[{"info":"⫖↰⪸1422⨵⪆⫖↰⪸3044=⫖↰⪸114","layer":1},{"info":"⫖↰⪸1876⇼⇔∾⫖↰⪸3445=⫖↰⪸178B","layer":1},{"info":"⫖↰⪸114⊉≛↸⫖↰⪸178B=⫖↰⪸228","layer":0}]}
+{"id":818,"expression_no_base_symbol":"⇁⨣⪵(⇁⨣⪵$4062$)","expression":"⇁⨣⪵(⇁⨣⪵⫖↰⪸2426)","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4062,"base":12}}},"used_operators":["inkyxCbjAn"],"dependent_operators":["B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4062","layer":2},{"info":"compute unary expreesion, input=4062, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⇁⨣⪵(⇁⨣⪵⫖↰⪸2426)=NaN","reverse_text":"NaN=⇁⨣⪵(⇁⨣⪵⫖↰⪸2426)","cot":[{"info":"⇁⨣⪵⫖↰⪸2426=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
+{"id":819,"expression_no_base_symbol":"$5216$⊴$3228$∸","expression":"⫖↰⪸3028⊴⫖↰⪸1A50∸","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3649,"operation_count":2,"complexity_ratio":1824.5,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5216,"base":12},"right_expr":{"type":"numeric_atoms","value":3228,"base":12}}},"used_operators":["o20kRiQErp","Nsiff2A1zJ"],"dependent_operators":["tmPS8pqC7x","dWAJyo7jo9","14qkJME0vr"],"result":"⫖↰⪸129","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5216","layer":2},{"info":"number node, value=3228","layer":2},{"info":"compute binary expreesion, left_input=5216, right_input=3228, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3028⊴⫖↰⪸1A50∸=⫖↰⪸129","reverse_text":"⫖↰⪸129=⫖↰⪸3028⊴⫖↰⪸1A50∸","cot":[{"info":"⫖↰⪸3028⊴⫖↰⪸1A50=NaN","layer":1},{"info":"NaN∸=⫖↰⪸129","layer":0}]}
+{"id":820,"expression_no_base_symbol":"($2854$+⇶⊼$3045$)⪛$2663$⪢$5975$","expression":"(⫖↰⪸179A+⇶⊼⫖↰⪸1919)⪛⫖↰⪸165B⪢⫖↰⪸355B","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5980,"operation_count":3,"complexity_ratio":1993.3333333333333,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2854,"base":12},"right_expr":{"type":"numeric_atoms","value":3045,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2663,"base":12},"right_expr":{"type":"numeric_atoms","value":5975,"base":12}}},"used_operators":["uFcxV4UQCh","TpPTUOHfaN","dWAJyo7jo9"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2854","layer":2},{"info":"number node, value=3045","layer":2},{"info":"compute binary expreesion, left_input=2854, right_input=3045, 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=2663","layer":2},{"info":"number node, value=5975","layer":2},{"info":"compute binary expreesion, left_input=2663, right_input=5975, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸179A+⇶⊼⫖↰⪸1919)⪛⫖↰⪸165B⪢⫖↰⪸355B=NaN","reverse_text":"NaN=(⫖↰⪸179A+⇶⊼⫖↰⪸1919)⪛⫖↰⪸165B⪢⫖↰⪸355B","cot":[{"info":"⫖↰⪸179A+⇶⊼⫖↰⪸1919=NaN","layer":1},{"info":"⫖↰⪸165B⪢⫖↰⪸355B=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
+{"id":821,"expression_no_base_symbol":"$6203$∑⇟⊟$4788$+⇶⊼$1298$∼$6642$","expression":"⫖↰⪸370B∑⇟⊟⫖↰⪸2930+⇶⊼⫖↰⪸902∼⫖↰⪸3A16","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6203,"base":12},"right_expr":{"type":"numeric_atoms","value":4788,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1298,"base":12},"right_expr":{"type":"numeric_atoms","value":6642,"base":12}}},"used_operators":["TpPTUOHfaN","U7g4x0WXJJ","DyGG3AbaNP"],"dependent_operators":["AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6203","layer":2},{"info":"number node, value=4788","layer":2},{"info":"compute binary expreesion, left_input=6203, right_input=4788, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1298","layer":2},{"info":"number node, value=6642","layer":2},{"info":"compute binary expreesion, left_input=1298, right_input=6642, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":12,"result_base":12,"text":"⫖↰⪸370B∑⇟⊟⫖↰⪸2930+⇶⊼⫖↰⪸902∼⫖↰⪸3A16=NaN","reverse_text":"NaN=⫖↰⪸370B∑⇟⊟⫖↰⪸2930+⇶⊼⫖↰⪸902∼⫖↰⪸3A16","cot":[{"info":"⫖↰⪸370B∑⇟⊟⫖↰⪸2930=NaN","layer":1},{"info":"⫖↰⪸902∼⫖↰⪸3A16=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
+{"id":822,"expression_no_base_symbol":"$1327$⨟⋌⩍$2948$⊭↱$3712$≭$6343$","expression":"⫖↰⪸927⨟⋌⩍⫖↰⪸1858⊭↱⫖↰⪸2194≭⫖↰⪸3807","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1327,"base":12},"right_expr":{"type":"numeric_atoms","value":2948,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3712,"base":12},"right_expr":{"type":"numeric_atoms","value":6343,"base":12}}},"used_operators":["COABgblf1C","rGHVDoGpnC","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1327","layer":2},{"info":"number node, value=2948","layer":2},{"info":"compute binary expreesion, left_input=1327, right_input=2948, 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=3712","layer":2},{"info":"number node, value=6343","layer":2},{"info":"compute binary expreesion, left_input=3712, right_input=6343, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸927⨟⋌⩍⫖↰⪸1858⊭↱⫖↰⪸2194≭⫖↰⪸3807=NaN","reverse_text":"NaN=⫖↰⪸927⨟⋌⩍⫖↰⪸1858⊭↱⫖↰⪸2194≭⫖↰⪸3807","cot":[{"info":"⫖↰⪸927⨟⋌⩍⫖↰⪸1858=NaN","layer":1},{"info":"⫖↰⪸2194≭⫖↰⪸3807=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
+{"id":823,"expression_no_base_symbol":"$4582$↬$3737$⩨$1000$⋳⪒$3237$","expression":"⫖↰⪸279A↬⫖↰⪸21B5⩨⫖↰⪸6B4⋳⪒⫖↰⪸1A59","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4582,"base":12},"right_expr":{"type":"numeric_atoms","value":3737,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1000,"base":12},"right_expr":{"type":"numeric_atoms","value":3237,"base":12}}},"used_operators":["2DlMacCsIx","B5M0gjZbta","12rbrZMWeM"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4582","layer":2},{"info":"number node, value=3737","layer":2},{"info":"compute binary expreesion, left_input=4582, right_input=3737, 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=1000","layer":2},{"info":"number node, value=3237","layer":2},{"info":"compute binary expreesion, left_input=1000, right_input=3237, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1524","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1524, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸279A↬⫖↰⪸21B5⩨⫖↰⪸6B4⋳⪒⫖↰⪸1A59=NaN","reverse_text":"NaN=⫖↰⪸279A↬⫖↰⪸21B5⩨⫖↰⪸6B4⋳⪒⫖↰⪸1A59","cot":[{"info":"⫖↰⪸279A↬⫖↰⪸21B5=NaN","layer":1},{"info":"⫖↰⪸6B4⋳⪒⫖↰⪸1A59=⫖↰⪸-A70","layer":1},{"info":"NaN⩨⫖↰⪸-A70=NaN","layer":0}]}
+{"id":824,"expression_no_base_symbol":"($4496$∧)⨟⋌⩍(⋗⩬⋾$5905$)","expression":"(⫖↰⪸2728∧)⨟⋌⩍(⋗⩬⋾⫖↰⪸3501)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4496,"base":12}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5905,"base":12}}},"used_operators":["rGHVDoGpnC","z63VuFQld9","DpFCA1CohY"],"dependent_operators":["Tcnh7f0tEr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4496","layer":2},{"info":"compute unary expreesion, input=4496, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"number node, value=5905","layer":2},{"info":"compute unary expreesion, input=5905, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-17715","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-17715, 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":12,"result_base":12,"text":"(⫖↰⪸2728∧)⨟⋌⩍(⋗⩬⋾⫖↰⪸3501)=NaN","reverse_text":"NaN=(⫖↰⪸2728∧)⨟⋌⩍(⋗⩬⋾⫖↰⪸3501)","cot":[{"info":"⫖↰⪸2728∧=NaN","layer":1},{"info":"⋗⩬⋾⫖↰⪸3501=⫖↰⪸-A303","layer":1},{"info":"NaN⨟⋌⩍⫖↰⪸-A303=NaN","layer":0}]}
+{"id":825,"expression_no_base_symbol":"⩦⩻⨪$1113$⨰$2017$","expression":"⩦⩻⨪⫖↰⪸789⨰⫖↰⪸1201","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1113,"base":12},"right_expr":{"type":"numeric_atoms","value":2017,"base":12}}},"used_operators":["2td37pGCOC","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-626","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1113","layer":2},{"info":"number node, value=2017","layer":2},{"info":"compute binary expreesion, left_input=1113, right_input=2017, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-894","layer":1},{"info":"compute unary expreesion, input=-894, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-894","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪⫖↰⪸789⨰⫖↰⪸1201=⫖↰⪸-626","reverse_text":"⫖↰⪸-626=⩦⩻⨪⫖↰⪸789⨰⫖↰⪸1201","cot":[{"info":"⫖↰⪸789⨰⫖↰⪸1201=⫖↰⪸-626","layer":1},{"info":"⩦⩻⨪⫖↰⪸-626=⫖↰⪸-626","layer":0}]}
+{"id":826,"expression_no_base_symbol":"$7201$↺$1787$⩨$2130$∀⇚≩$1913$","expression":"⫖↰⪸4201↺⫖↰⪸104B⩨⫖↰⪸1296∀⇚≩⫖↰⪸1135","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14916,"operation_count":3,"complexity_ratio":4972.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7201,"base":12},"right_expr":{"type":"numeric_atoms","value":1787,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2130,"base":12},"right_expr":{"type":"numeric_atoms","value":1913,"base":12}}},"used_operators":["2DlMacCsIx","7j4O788W3g","LRNGc0VcxI"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7201","layer":2},{"info":"number node, value=1787","layer":2},{"info":"compute binary expreesion, left_input=7201, right_input=1787, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1787","layer":1},{"info":"number node, value=2130","layer":2},{"info":"number node, value=1913","layer":2},{"info":"compute binary expreesion, left_input=2130, right_input=1913, 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=1787, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸4201↺⫖↰⪸104B⩨⫖↰⪸1296∀⇚≩⫖↰⪸1135=NaN","reverse_text":"NaN=⫖↰⪸4201↺⫖↰⪸104B⩨⫖↰⪸1296∀⇚≩⫖↰⪸1135","cot":[{"info":"⫖↰⪸4201↺⫖↰⪸104B=⫖↰⪸104B","layer":1},{"info":"⫖↰⪸1296∀⇚≩⫖↰⪸1135=NaN","layer":1},{"info":"⫖↰⪸104B⩨NaN=NaN","layer":0}]}
+{"id":827,"expression_no_base_symbol":"(⋗⩬⋾$3027$)⪛($4435$⫸⊐$6313$)","expression":"(⋗⩬⋾⫖↰⪸1903)⪛(⫖↰⪸2697⫸⊐⫖↰⪸37A1)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":31,"operation_count":3,"complexity_ratio":10.333333333333334,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3027,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4435,"base":12},"right_expr":{"type":"numeric_atoms","value":6313,"base":12}}},"used_operators":["uFcxV4UQCh","DpFCA1CohY","mqXw5SEYmG"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸9352","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3027","layer":2},{"info":"compute unary expreesion, input=3027, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9081","layer":1},{"info":"number node, value=4435","layer":2},{"info":"number node, value=6313","layer":2},{"info":"compute binary expreesion, left_input=4435, right_input=6313, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=25127","layer":1},{"info":"compute binary expreesion, left_input=-9081, right_input=25127, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=16046","layer":0}],"base":12,"result_base":12,"text":"(⋗⩬⋾⫖↰⪸1903)⪛(⫖↰⪸2697⫸⊐⫖↰⪸37A1)=⫖↰⪸9352","reverse_text":"⫖↰⪸9352=(⋗⩬⋾⫖↰⪸1903)⪛(⫖↰⪸2697⫸⊐⫖↰⪸37A1)","cot":[{"info":"⋗⩬⋾⫖↰⪸1903=⫖↰⪸-5309","layer":1},{"info":"⫖↰⪸2697⫸⊐⫖↰⪸37A1=⫖↰⪸1265B","layer":1},{"info":"⫖↰⪸-5309⪛⫖↰⪸1265B=⫖↰⪸9352","layer":0}]}
+{"id":828,"expression_no_base_symbol":"(≤/$1374$)⋷$1091$⨎$1020$","expression":"(≤/⫖↰⪸966)⋷⫖↰⪸76B⨎⫖↰⪸710","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1374,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1091,"base":12},"right_expr":{"type":"numeric_atoms","value":1020,"base":12}}},"used_operators":["23Mk6UjR3U","eLAdDNolq6","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸1044","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1374","layer":2},{"info":"compute unary expreesion, input=1374, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-890","layer":1},{"info":"number node, value=1091","layer":2},{"info":"number node, value=1020","layer":2},{"info":"compute binary expreesion, left_input=1091, right_input=1020, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1020","layer":1},{"info":"compute binary expreesion, left_input=-890, right_input=1020, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1780","layer":0}],"base":12,"result_base":12,"text":"(≤/⫖↰⪸966)⋷⫖↰⪸76B⨎⫖↰⪸710=⫖↰⪸1044","reverse_text":"⫖↰⪸1044=(≤/⫖↰⪸966)⋷⫖↰⪸76B⨎⫖↰⪸710","cot":[{"info":"≤/⫖↰⪸966=⫖↰⪸-622","layer":1},{"info":"⫖↰⪸76B⨎⫖↰⪸710=⫖↰⪸710","layer":1},{"info":"⫖↰⪸-622⋷⫖↰⪸710=⫖↰⪸1044","layer":0}]}
+{"id":829,"expression_no_base_symbol":"≦∁($1721$⋷$3691$)","expression":"≦∁(⫖↰⪸BB5⋷⫖↰⪸2177)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1721,"base":12},"right_expr":{"type":"numeric_atoms","value":3691,"base":12}}},"used_operators":["9ICcGScMcE","23Mk6UjR3U"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸3339","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1721","layer":2},{"info":"number node, value=3691","layer":2},{"info":"compute binary expreesion, left_input=1721, right_input=3691, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5661","layer":1},{"info":"compute unary expreesion, input=5661, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5661","layer":0}],"base":12,"result_base":12,"text":"≦∁(⫖↰⪸BB5⋷⫖↰⪸2177)=⫖↰⪸3339","reverse_text":"⫖↰⪸3339=≦∁(⫖↰⪸BB5⋷⫖↰⪸2177)","cot":[{"info":"⫖↰⪸BB5⋷⫖↰⪸2177=⫖↰⪸3339","layer":1},{"info":"≦∁⫖↰⪸3339=⫖↰⪸3339","layer":0}]}
+{"id":830,"expression_no_base_symbol":"($2571$+$6626$)⩠","expression":"(⫖↰⪸15A3+⫖↰⪸3A02)⩠","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2571,"base":12},"right_expr":{"type":"numeric_atoms","value":6626,"base":12}}},"used_operators":["sJAwomhLZr","W4YGzv6Whe"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2571","layer":2},{"info":"number node, value=6626","layer":2},{"info":"compute binary expreesion, left_input=2571, right_input=6626, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9197","layer":1},{"info":"compute unary expreesion, input=9197, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸15A3+⫖↰⪸3A02)⩠=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸15A3+⫖↰⪸3A02)⩠","cot":[{"info":"⫖↰⪸15A3+⫖↰⪸3A02=⫖↰⪸53A5","layer":1},{"info":"⫖↰⪸53A5⩠=⫖↰⪸0","layer":0}]}
+{"id":831,"expression_no_base_symbol":"$1137$⪮%⊝$1327$≧⫂∧($2239$⊉≛↸$1238$)","expression":"⫖↰⪸7A9⪮%⊝⫖↰⪸927≧⫂∧(⫖↰⪸1367⊉≛↸⫖↰⪸872)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1137,"base":12},"right_expr":{"type":"numeric_atoms","value":1327,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2239,"base":12},"right_expr":{"type":"numeric_atoms","value":1238,"base":12}}},"used_operators":["Ph9nP6C5qx","IWmyXbctLI","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸2399","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1137","layer":2},{"info":"number node, value=1327","layer":2},{"info":"compute binary expreesion, left_input=1137, right_input=1327, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2590","layer":1},{"info":"number node, value=2239","layer":2},{"info":"number node, value=1238","layer":2},{"info":"compute binary expreesion, left_input=2239, right_input=1238, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4478","layer":1},{"info":"compute binary expreesion, left_input=2590, right_input=4478, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4005","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸7A9⪮%⊝⫖↰⪸927≧⫂∧(⫖↰⪸1367⊉≛↸⫖↰⪸872)=⫖↰⪸2399","reverse_text":"⫖↰⪸2399=⫖↰⪸7A9⪮%⊝⫖↰⪸927≧⫂∧(⫖↰⪸1367⊉≛↸⫖↰⪸872)","cot":[{"info":"⫖↰⪸7A9⪮%⊝⫖↰⪸927=⫖↰⪸15BA","layer":1},{"info":"⫖↰⪸1367⊉≛↸⫖↰⪸872=⫖↰⪸2712","layer":1},{"info":"⫖↰⪸15BA≧⫂∧⫖↰⪸2712=⫖↰⪸2399","layer":0}]}
+{"id":832,"expression_no_base_symbol":"$3299$⪛$3790$⊭↱$3759$⨐⩸⫘$3154$","expression":"⫖↰⪸1AAB⪛⫖↰⪸223A⊭↱⫖↰⪸2213⨐⩸⫘⫖↰⪸19AA","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3299,"base":12},"right_expr":{"type":"numeric_atoms","value":3790,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3759,"base":12},"right_expr":{"type":"numeric_atoms","value":3154,"base":12}}},"used_operators":["COABgblf1C","uFcxV4UQCh","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3299","layer":2},{"info":"number node, value=3790","layer":2},{"info":"compute binary expreesion, left_input=3299, right_input=3790, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3299","layer":1},{"info":"number node, value=3759","layer":2},{"info":"number node, value=3154","layer":2},{"info":"compute binary expreesion, left_input=3759, right_input=3154, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3299, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1AAB⪛⫖↰⪸223A⊭↱⫖↰⪸2213⨐⩸⫘⫖↰⪸19AA=NaN","reverse_text":"NaN=⫖↰⪸1AAB⪛⫖↰⪸223A⊭↱⫖↰⪸2213⨐⩸⫘⫖↰⪸19AA","cot":[{"info":"⫖↰⪸1AAB⪛⫖↰⪸223A=⫖↰⪸1AAB","layer":1},{"info":"⫖↰⪸2213⨐⩸⫘⫖↰⪸19AA=NaN","layer":1},{"info":"⫖↰⪸1AAB⊭↱NaN=NaN","layer":0}]}
+{"id":833,"expression_no_base_symbol":"($2864$⪄$2585$)⫸⊐(⨞⊢$1869$)","expression":"(⫖↰⪸17A8⪄⫖↰⪸15B5)⫸⊐(⨞⊢⫖↰⪸10B9)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":101,"operation_count":3,"complexity_ratio":33.666666666666664,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2864,"base":12},"right_expr":{"type":"numeric_atoms","value":2585,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1869,"base":12}}},"used_operators":["mqXw5SEYmG","SUmda5xLS4","xUOZtlo3hN"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸688","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2864","layer":2},{"info":"number node, value=2585","layer":2},{"info":"compute binary expreesion, left_input=2864, right_input=2585, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-430301","layer":1},{"info":"number node, value=1869","layer":2},{"info":"compute unary expreesion, input=1869, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2043","layer":1},{"info":"compute binary expreesion, left_input=-430301, right_input=-2043, 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":12,"result_base":12,"text":"(⫖↰⪸17A8⪄⫖↰⪸15B5)⫸⊐(⨞⊢⫖↰⪸10B9)=⫖↰⪸688","reverse_text":"⫖↰⪸688=(⫖↰⪸17A8⪄⫖↰⪸15B5)⫸⊐(⨞⊢⫖↰⪸10B9)","cot":[{"info":"⫖↰⪸17A8⪄⫖↰⪸15B5=⫖↰⪸-189025","layer":1},{"info":"⨞⊢⫖↰⪸10B9=⫖↰⪸-1223","layer":1},{"info":"⫖↰⪸-189025⫸⊐⫖↰⪸-1223=⫖↰⪸688","layer":0}]}
+{"id":834,"expression_no_base_symbol":"(⨞⊢$3715$)⨟⋌⩍$6037$⪢$4053$","expression":"(⨞⊢⫖↰⪸2197)⨟⋌⩍⫖↰⪸35B1⪢⫖↰⪸2419","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13181,"operation_count":3,"complexity_ratio":4393.666666666667,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3715,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6037,"base":12},"right_expr":{"type":"numeric_atoms","value":4053,"base":12}}},"used_operators":["rGHVDoGpnC","xUOZtlo3hN","dWAJyo7jo9"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3715","layer":2},{"info":"compute unary expreesion, input=3715, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3889","layer":1},{"info":"number node, value=6037","layer":2},{"info":"number node, value=4053","layer":2},{"info":"compute binary expreesion, left_input=6037, right_input=4053, 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=-3889, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨞⊢⫖↰⪸2197)⨟⋌⩍⫖↰⪸35B1⪢⫖↰⪸2419=NaN","reverse_text":"NaN=(⨞⊢⫖↰⪸2197)⨟⋌⩍⫖↰⪸35B1⪢⫖↰⪸2419","cot":[{"info":"⨞⊢⫖↰⪸2197=⫖↰⪸-2301","layer":1},{"info":"⫖↰⪸35B1⪢⫖↰⪸2419=NaN","layer":1},{"info":"⫖↰⪸-2301⨟⋌⩍NaN=NaN","layer":0}]}
+{"id":835,"expression_no_base_symbol":"⇁⨣⪵($1614$%$2288$)","expression":"⇁⨣⪵(⫖↰⪸B26%⫖↰⪸13A8)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1614,"base":12},"right_expr":{"type":"numeric_atoms","value":2288,"base":12}}},"used_operators":["inkyxCbjAn","k8jYdgA6NY"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1614","layer":2},{"info":"number node, value=2288","layer":2},{"info":"compute binary expreesion, left_input=1614, right_input=2288, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1614","layer":1},{"info":"compute unary expreesion, input=1614, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⇁⨣⪵(⫖↰⪸B26%⫖↰⪸13A8)=NaN","reverse_text":"NaN=⇁⨣⪵(⫖↰⪸B26%⫖↰⪸13A8)","cot":[{"info":"⫖↰⪸B26%⫖↰⪸13A8=⫖↰⪸B26","layer":1},{"info":"⇁⨣⪵⫖↰⪸B26=NaN","layer":0}]}
+{"id":836,"expression_no_base_symbol":"(⨈⫕$5054$)⊭↱$3198$⨎$1542$","expression":"(⨈⫕⫖↰⪸2B12)⊭↱⫖↰⪸1A26⨎⫖↰⪸A86","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":393,"operation_count":3,"complexity_ratio":131.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5054,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3198,"base":12},"right_expr":{"type":"numeric_atoms","value":1542,"base":12}}},"used_operators":["COABgblf1C","megm06wKyl","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸198B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5054","layer":2},{"info":"compute unary expreesion, input=5054, 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=3198","layer":2},{"info":"number node, value=1542","layer":2},{"info":"compute binary expreesion, left_input=3198, right_input=1542, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1542","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=1542, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3131","layer":0}],"base":12,"result_base":12,"text":"(⨈⫕⫖↰⪸2B12)⊭↱⫖↰⪸1A26⨎⫖↰⪸A86=⫖↰⪸198B","reverse_text":"⫖↰⪸198B=(⨈⫕⫖↰⪸2B12)⊭↱⫖↰⪸1A26⨎⫖↰⪸A86","cot":[{"info":"⨈⫕⫖↰⪸2B12=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸1A26⨎⫖↰⪸A86=⫖↰⪸A86","layer":1},{"info":"⫖↰⪸-19⊭↱⫖↰⪸A86=⫖↰⪸198B","layer":0}]}
+{"id":837,"expression_no_base_symbol":"$4271$⨽$4655$⩨$5568$⋳⪒$5579$","expression":"⫖↰⪸257B⨽⫖↰⪸283B⩨⫖↰⪸3280⋳⪒⫖↰⪸328B","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4291,"operation_count":3,"complexity_ratio":1430.3333333333333,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4271,"base":12},"right_expr":{"type":"numeric_atoms","value":4655,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5568,"base":12},"right_expr":{"type":"numeric_atoms","value":5579,"base":12}}},"used_operators":["2DlMacCsIx","8HhzD0ZcuI","12rbrZMWeM"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸3","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4271","layer":2},{"info":"number node, value=4655","layer":2},{"info":"compute binary expreesion, left_input=4271, right_input=4655, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-54736974","layer":1},{"info":"number node, value=5568","layer":2},{"info":"number node, value=5579","layer":2},{"info":"compute binary expreesion, left_input=5568, right_input=5579, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5270","layer":1},{"info":"compute binary expreesion, left_input=-54736974, right_input=5270, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸257B⨽⫖↰⪸283B⩨⫖↰⪸3280⋳⪒⫖↰⪸328B=⫖↰⪸3","reverse_text":"⫖↰⪸3=⫖↰⪸257B⨽⫖↰⪸283B⩨⫖↰⪸3280⋳⪒⫖↰⪸328B","cot":[{"info":"⫖↰⪸257B⨽⫖↰⪸283B=⫖↰⪸-163B85A6","layer":1},{"info":"⫖↰⪸3280⋳⪒⫖↰⪸328B=⫖↰⪸3072","layer":1},{"info":"⫖↰⪸-163B85A6⩨⫖↰⪸3072=⫖↰⪸3","layer":0}]}
+{"id":838,"expression_no_base_symbol":"($1880$≧⫂∧$1789$)∑⇟⊟$4824$⨟⋌⩍$1796$","expression":"(⫖↰⪸1108≧⫂∧⫖↰⪸1051)∑⇟⊟⫖↰⪸2960⨟⋌⩍⫖↰⪸1058","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1880,"base":12},"right_expr":{"type":"numeric_atoms","value":1789,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4824,"base":12},"right_expr":{"type":"numeric_atoms","value":1796,"base":12}}},"used_operators":["U7g4x0WXJJ","Ph9nP6C5qx","rGHVDoGpnC"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1880","layer":2},{"info":"number node, value=1789","layer":2},{"info":"compute binary expreesion, left_input=1880, right_input=1789, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1316","layer":1},{"info":"number node, value=4824","layer":2},{"info":"number node, value=1796","layer":2},{"info":"compute binary expreesion, left_input=4824, right_input=1796, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1316, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1108≧⫂∧⫖↰⪸1051)∑⇟⊟⫖↰⪸2960⨟⋌⩍⫖↰⪸1058=NaN","reverse_text":"NaN=(⫖↰⪸1108≧⫂∧⫖↰⪸1051)∑⇟⊟⫖↰⪸2960⨟⋌⩍⫖↰⪸1058","cot":[{"info":"⫖↰⪸1108≧⫂∧⫖↰⪸1051=⫖↰⪸918","layer":1},{"info":"⫖↰⪸2960⨟⋌⩍⫖↰⪸1058=NaN","layer":1},{"info":"⫖↰⪸918∑⇟⊟NaN=NaN","layer":0}]}
+{"id":839,"expression_no_base_symbol":"⨈⫕(≦∁$7721$)","expression":"⨈⫕(≦∁⫖↰⪸4575)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":387,"operation_count":2,"complexity_ratio":193.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":7721,"base":12}}},"used_operators":["megm06wKyl","9ICcGScMcE"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7721","layer":2},{"info":"compute unary expreesion, input=7721, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=7721","layer":1},{"info":"compute unary expreesion, input=7721, 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":12,"result_base":12,"text":"⨈⫕(≦∁⫖↰⪸4575)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=⨈⫕(≦∁⫖↰⪸4575)","cot":[{"info":"≦∁⫖↰⪸4575=⫖↰⪸4575","layer":1},{"info":"⨈⫕⫖↰⪸4575=⫖↰⪸-19","layer":0}]}
+{"id":840,"expression_no_base_symbol":"∥⊫$4565$⇷$1408$","expression":"∥⊫⫖↰⪸2785⇷⫖↰⪸994","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":63920,"operation_count":2,"complexity_ratio":31960.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4565,"base":12},"right_expr":{"type":"numeric_atoms","value":1408,"base":12}}},"used_operators":["P8v4zCKN1o","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸2170","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4565","layer":2},{"info":"number node, value=1408","layer":2},{"info":"compute binary expreesion, left_input=4565, right_input=1408, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2816","layer":1},{"info":"compute unary expreesion, input=2816, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3684","layer":0}],"base":12,"result_base":12,"text":"∥⊫⫖↰⪸2785⇷⫖↰⪸994=⫖↰⪸2170","reverse_text":"⫖↰⪸2170=∥⊫⫖↰⪸2785⇷⫖↰⪸994","cot":[{"info":"⫖↰⪸2785⇷⫖↰⪸994=⫖↰⪸1768","layer":1},{"info":"∥⊫⫖↰⪸1768=⫖↰⪸2170","layer":0}]}
+{"id":841,"expression_no_base_symbol":"$1511$⇼⇔∾$8425$⪒($5474$/$1518$)","expression":"⫖↰⪸A5B⇼⇔∾⫖↰⪸4A61⪒(⫖↰⪸3202/⫖↰⪸A66)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1511,"base":12},"right_expr":{"type":"numeric_atoms","value":8425,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5474,"base":12},"right_expr":{"type":"numeric_atoms","value":1518,"base":12}}},"used_operators":["f6k1SAg4EE","tifHPKVTfV","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸-4005","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1511","layer":2},{"info":"number node, value=8425","layer":2},{"info":"compute binary expreesion, left_input=1511, right_input=8425, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6914","layer":1},{"info":"number node, value=5474","layer":2},{"info":"number node, value=1518","layer":2},{"info":"compute binary expreesion, left_input=5474, right_input=1518, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":1},{"info":"compute binary expreesion, left_input=6914, right_input=3, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6917","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸A5B⇼⇔∾⫖↰⪸4A61⪒(⫖↰⪸3202/⫖↰⪸A66)=⫖↰⪸-4005","reverse_text":"⫖↰⪸-4005=⫖↰⪸A5B⇼⇔∾⫖↰⪸4A61⪒(⫖↰⪸3202/⫖↰⪸A66)","cot":[{"info":"⫖↰⪸A5B⇼⇔∾⫖↰⪸4A61=⫖↰⪸4002","layer":1},{"info":"⫖↰⪸3202/⫖↰⪸A66=⫖↰⪸3","layer":1},{"info":"⫖↰⪸4002⪒⫖↰⪸3=⫖↰⪸-4005","layer":0}]}
+{"id":842,"expression_no_base_symbol":"($4560$≋⫹)/$2387$⫸⊐$1242$","expression":"(⫖↰⪸2780≋⫹)/⫖↰⪸146B⫸⊐⫖↰⪸876","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4560,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2387,"base":12},"right_expr":{"type":"numeric_atoms","value":1242,"base":12}}},"used_operators":["XhwjNDsVaA","N41Kp7NANJ","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸-2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4560","layer":2},{"info":"compute unary expreesion, input=4560, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-9120","layer":1},{"info":"number node, value=2387","layer":2},{"info":"number node, value=1242","layer":2},{"info":"compute binary expreesion, left_input=2387, right_input=1242, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4843","layer":1},{"info":"compute binary expreesion, left_input=-9120, right_input=4843, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-2","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2780≋⫹)/⫖↰⪸146B⫸⊐⫖↰⪸876=⫖↰⪸-2","reverse_text":"⫖↰⪸-2=(⫖↰⪸2780≋⫹)/⫖↰⪸146B⫸⊐⫖↰⪸876","cot":[{"info":"⫖↰⪸2780≋⫹=⫖↰⪸-5340","layer":1},{"info":"⫖↰⪸146B⫸⊐⫖↰⪸876=⫖↰⪸2977","layer":1},{"info":"⫖↰⪸-5340/⫖↰⪸2977=⫖↰⪸-2","layer":0}]}
+{"id":843,"expression_no_base_symbol":"$2075$⪒$6442$+$7347$∼$6605$","expression":"⫖↰⪸124B⪒⫖↰⪸388A+⫖↰⪸4303∼⫖↰⪸39A5","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":150,"operation_count":3,"complexity_ratio":50.0,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2075,"base":12},"right_expr":{"type":"numeric_atoms","value":6442,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7347,"base":12},"right_expr":{"type":"numeric_atoms","value":6605,"base":12}}},"used_operators":["W4YGzv6Whe","f6k1SAg4EE","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2075","layer":2},{"info":"number node, value=6442","layer":2},{"info":"compute binary expreesion, left_input=2075, right_input=6442, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8517","layer":1},{"info":"number node, value=7347","layer":2},{"info":"number node, value=6605","layer":2},{"info":"compute binary expreesion, left_input=7347, right_input=6605, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-8517, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸124B⪒⫖↰⪸388A+⫖↰⪸4303∼⫖↰⪸39A5=NaN","reverse_text":"NaN=⫖↰⪸124B⪒⫖↰⪸388A+⫖↰⪸4303∼⫖↰⪸39A5","cot":[{"info":"⫖↰⪸124B⪒⫖↰⪸388A=⫖↰⪸-4B19","layer":1},{"info":"⫖↰⪸4303∼⫖↰⪸39A5=NaN","layer":1},{"info":"⫖↰⪸-4B19+NaN=NaN","layer":0}]}
+{"id":844,"expression_no_base_symbol":"(≦∁$1719$)⫸⊐($1130$⫌⩹⨱)","expression":"(≦∁⫖↰⪸BB3)⫸⊐(⫖↰⪸7A2⫌⩹⨱)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32,"operation_count":3,"complexity_ratio":10.666666666666666,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1719,"base":12}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1130,"base":12}}},"used_operators":["mqXw5SEYmG","9ICcGScMcE","EBcxylXtPf"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸849B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1719","layer":2},{"info":"compute unary expreesion, input=1719, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1719","layer":1},{"info":"number node, value=1130","layer":2},{"info":"compute unary expreesion, input=1130, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3661","layer":1},{"info":"compute binary expreesion, left_input=1719, right_input=3661, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14519","layer":0}],"base":12,"result_base":12,"text":"(≦∁⫖↰⪸BB3)⫸⊐(⫖↰⪸7A2⫌⩹⨱)=⫖↰⪸849B","reverse_text":"⫖↰⪸849B=(≦∁⫖↰⪸BB3)⫸⊐(⫖↰⪸7A2⫌⩹⨱)","cot":[{"info":"≦∁⫖↰⪸BB3=⫖↰⪸BB3","layer":1},{"info":"⫖↰⪸7A2⫌⩹⨱=⫖↰⪸2151","layer":1},{"info":"⫖↰⪸BB3⫸⊐⫖↰⪸2151=⫖↰⪸849B","layer":0}]}
+{"id":845,"expression_no_base_symbol":"⫛⫱⨽($3894$⪮%⊝$3175$)","expression":"⫛⫱⨽(⫖↰⪸2306⪮%⊝⫖↰⪸1A07)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1431,"operation_count":2,"complexity_ratio":715.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3894,"base":12},"right_expr":{"type":"numeric_atoms","value":3175,"base":12}}},"used_operators":["DlLNRPXxWL","IWmyXbctLI"],"dependent_operators":["rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3894","layer":2},{"info":"number node, value=3175","layer":2},{"info":"compute binary expreesion, left_input=3894, right_input=3175, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8104","layer":1},{"info":"compute unary expreesion, input=8104, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫛⫱⨽(⫖↰⪸2306⪮%⊝⫖↰⪸1A07)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫛⫱⨽(⫖↰⪸2306⪮%⊝⫖↰⪸1A07)","cot":[{"info":"⫖↰⪸2306⪮%⊝⫖↰⪸1A07=⫖↰⪸4834","layer":1},{"info":"⫛⫱⨽⫖↰⪸4834=⫖↰⪸0","layer":0}]}
+{"id":846,"expression_no_base_symbol":"($2248$∲⫓$3317$)⊘","expression":"(⫖↰⪸1374∲⫓⫖↰⪸1B05)⊘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24,"operation_count":2,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2248,"base":12},"right_expr":{"type":"numeric_atoms","value":3317,"base":12}}},"used_operators":["gu96TGCTMs","i8ToyICDmI"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2248","layer":2},{"info":"number node, value=3317","layer":2},{"info":"compute binary expreesion, left_input=2248, right_input=3317, 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 = 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":12,"result_base":12,"text":"(⫖↰⪸1374∲⫓⫖↰⪸1B05)⊘=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸1374∲⫓⫖↰⪸1B05)⊘","cot":[{"info":"⫖↰⪸1374∲⫓⫖↰⪸1B05=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⊘=⫖↰⪸0","layer":0}]}
+{"id":847,"expression_no_base_symbol":"$1710$↬$2415$⨓($5662$⋷$5255$)","expression":"⫖↰⪸BA6↬⫖↰⪸1493⨓(⫖↰⪸333A⋷⫖↰⪸305B)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4858,"operation_count":3,"complexity_ratio":1619.3333333333333,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1710,"base":12},"right_expr":{"type":"numeric_atoms","value":2415,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5662,"base":12},"right_expr":{"type":"numeric_atoms","value":5255,"base":12}}},"used_operators":["3ViojmjbAp","B5M0gjZbta","23Mk6UjR3U"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-2983","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1710","layer":2},{"info":"number node, value=2415","layer":2},{"info":"compute binary expreesion, left_input=1710, right_input=2415, 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=5662","layer":2},{"info":"number node, value=5255","layer":2},{"info":"compute binary expreesion, left_input=5662, right_input=5255, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4848","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4848, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4851","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸BA6↬⫖↰⪸1493⨓(⫖↰��333A⋷⫖↰⪸305B)=⫖↰⪸-2983","reverse_text":"⫖↰⪸-2983=⫖↰⪸BA6↬⫖↰⪸1493⨓(⫖↰⪸333A⋷⫖↰⪸305B)","cot":[{"info":"⫖↰⪸BA6↬⫖↰⪸1493=NaN","layer":1},{"info":"⫖↰⪸333A⋷⫖↰⪸305B=⫖↰⪸2980","layer":1},{"info":"NaN⨓⫖↰⪸2980=⫖↰⪸-2983","layer":0}]}
+{"id":848,"expression_no_base_symbol":"($3736$↪⪝)≭($3066$⊠≄⫣)","expression":"(⫖↰⪸21B4↪⪝)≭(⫖↰⪸1936⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":704,"operation_count":3,"complexity_ratio":234.66666666666666,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3736,"base":12}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3066,"base":12}}},"used_operators":["rxpJgHHUmx","l07mrZUIn9","DIvbN7qnHd"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-1A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3736","layer":2},{"info":"compute unary expreesion, input=3736, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=228575952","layer":1},{"info":"number node, value=3066","layer":2},{"info":"compute unary expreesion, input=3066, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=228575952, 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":12,"result_base":12,"text":"(⫖↰⪸21B4↪⪝)≭(⫖↰⪸1936⊠≄⫣)=⫖↰⪸-1A","reverse_text":"⫖↰⪸-1A=(⫖↰⪸21B4↪⪝)≭(⫖↰⪸1936⊠≄⫣)","cot":[{"info":"⫖↰⪸21B4↪⪝=⫖↰⪸64671900","layer":1},{"info":"⫖↰⪸1936⊠≄⫣=⫖↰⪸0","layer":1},{"info":"⫖↰⪸64671900≭⫖↰⪸0=⫖↰⪸-1A","layer":0}]}
+{"id":849,"expression_no_base_symbol":"($2326$/$4354$)≎⊠⪸$6458$⨪↰⇹$1219$","expression":"(⫖↰⪸141A/⫖↰⪸262A)≎⊠⪸⫖↰⪸38A2⨪↰⇹⫖↰⪸857","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6471,"operation_count":3,"complexity_ratio":2157.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2326,"base":12},"right_expr":{"type":"numeric_atoms","value":4354,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6458,"base":12},"right_expr":{"type":"numeric_atoms","value":1219,"base":12}}},"used_operators":["bJkvcejdHO","XhwjNDsVaA","tmPS8pqC7x"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","rJVOvQCfKK"],"result":"⫖↰⪸-335","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2326","layer":2},{"info":"number node, value=4354","layer":2},{"info":"compute binary expreesion, left_input=2326, right_input=4354, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=6458","layer":2},{"info":"number node, value=1219","layer":2},{"info":"compute binary expreesion, left_input=6458, right_input=1219, 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=6458","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6458, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸141A/⫖↰⪸262A)≎⊠⪸⫖↰⪸38A2⨪↰⇹⫖↰⪸857=⫖↰⪸-335","reverse_text":"⫖↰⪸-335=(⫖↰⪸141A/⫖↰⪸262A)≎⊠⪸⫖↰⪸38A2⨪↰⇹⫖↰⪸857","cot":[{"info":"⫖↰⪸141A/⫖↰⪸262A=⫖↰⪸0","layer":1},{"info":"⫖↰⪸38A2⨪↰⇹⫖↰⪸857=⫖↰⪸38A2","layer":1},{"info":"⫖↰⪸0≎⊠⪸⫖↰⪸38A2=⫖↰⪸-335","layer":0}]}
+{"id":850,"expression_no_base_symbol":"⩦⩻⨪($4522$⨳⩥⨓$3526$)","expression":"⩦⩻⨪(⫖↰⪸274A⨳⩥⨓⫖↰⪸205A)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4522,"base":12},"right_expr":{"type":"numeric_atoms","value":3526,"base":12}}},"used_operators":["2td37pGCOC","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸-6B0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4522","layer":2},{"info":"number node, value=3526","layer":2},{"info":"compute binary expreesion, left_input=4522, right_input=3526, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-996","layer":1},{"info":"compute unary expreesion, input=-996, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-996","layer":0}],"base":12,"result_base":12,"text":"⩦⩻⨪(⫖↰⪸274A⨳⩥⨓⫖↰⪸205A)=⫖↰⪸-6B0","reverse_text":"⫖↰⪸-6B0=⩦⩻⨪(⫖↰⪸274A⨳⩥⨓⫖↰⪸205A)","cot":[{"info":"⫖↰⪸274A⨳⩥⨓⫖↰⪸205A=⫖↰⪸-6B0","layer":1},{"info":"⩦⩻⨪⫖↰⪸-6B0=⫖↰⪸-6B0","layer":0}]}
+{"id":851,"expression_no_base_symbol":"≤/($7407$⊭↱$1239$)","expression":"≤/(⫖↰⪸4353⊭↱⫖↰⪸873)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":7407,"base":12},"right_expr":{"type":"numeric_atoms","value":1239,"base":12}}},"used_operators":["eLAdDNolq6","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸74BB","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7407","layer":2},{"info":"number node, value=1239","layer":2},{"info":"compute binary expreesion, left_input=7407, right_input=1239, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-12331","layer":1},{"info":"compute unary expreesion, input=-12331, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=12815","layer":0}],"base":12,"result_base":12,"text":"≤/(⫖↰⪸4353⊭↱⫖↰⪸873)=⫖↰⪸74BB","reverse_text":"⫖↰⪸74BB=≤/(⫖↰⪸4353⊭↱⫖↰⪸873)","cot":[{"info":"⫖↰⪸4353⊭↱⫖↰⪸873=⫖↰⪸-7177","layer":1},{"info":"≤/⫖↰⪸-7177=⫖↰⪸74BB","layer":0}]}
+{"id":852,"expression_no_base_symbol":"$1962$*$1381$⪨≂(⊄⩳↩$1136$)","expression":"⫖↰⪸1176*⫖↰⪸971⪨≂(⊄⩳↩⫖↰⪸7A8)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1389,"operation_count":3,"complexity_ratio":463.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1962,"base":12},"right_expr":{"type":"numeric_atoms","value":1381,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1136,"base":12}}},"used_operators":["sdazOOVcIp","9HNa5Wba9A","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸1998036","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1962","layer":2},{"info":"number node, value=1381","layer":2},{"info":"compute binary expreesion, left_input=1962, right_input=1381, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2709522","layer":1},{"info":"number node, value=1136","layer":2},{"info":"compute unary expreesion, input=1136, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3408","layer":1},{"info":"compute binary expreesion, left_input=2709522, right_input=-3408, 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=5425962","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1176*⫖↰⪸971⪨≂(⊄⩳↩⫖↰⪸7A8)=⫖↰⪸1998036","reverse_text":"⫖↰⪸1998036=⫖↰⪸1176*⫖↰⪸971⪨≂(⊄⩳↩⫖↰⪸7A8)","cot":[{"info":"⫖↰⪸1176*⫖↰⪸971=⫖↰⪸AA8016","layer":1},{"info":"⊄⩳↩⫖↰⪸7A8=⫖↰⪸-1B80","layer":1},{"info":"⫖↰⪸AA8016⪨≂⫖↰⪸-1B80=⫖↰⪸1998036","layer":0}]}
+{"id":853,"expression_no_base_symbol":"⪲⇎$1579$⫥∨⫟$2826$","expression":"⪲⇎⫖↰⪸AB7⫥∨⫟⫖↰⪸1776","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":156,"operation_count":2,"complexity_ratio":78.0,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1579,"base":12},"right_expr":{"type":"numeric_atoms","value":2826,"base":12}}},"used_operators":["XPYlsWDdGa","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1579","layer":2},{"info":"number node, value=2826","layer":2},{"info":"compute binary expreesion, left_input=1579, right_input=2826, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', 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":12,"result_base":12,"text":"⪲⇎⫖↰⪸AB7⫥∨⫟⫖↰⪸1776=NaN","reverse_text":"NaN=⪲⇎⫖↰⪸AB7⫥∨⫟⫖↰⪸1776","cot":[{"info":"⫖↰⪸AB7⫥∨⫟⫖↰⪸1776=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
+{"id":854,"expression_no_base_symbol":"($7125$*$1322$)⩷∴($2435$⊪)","expression":"(⫖↰⪸4159*⫖↰⪸922)⩷∴(⫖↰⪸14AB⊪)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1361,"operation_count":3,"complexity_ratio":453.6666666666667,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7125,"base":12},"right_expr":{"type":"numeric_atoms","value":1322,"base":12}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2435,"base":12}}},"used_operators":["9FxExcQeMw","9HNa5Wba9A","zVYPLywUTj"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⫖↰⪸6385A84","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7125","layer":2},{"info":"number node, value=1322","layer":2},{"info":"compute binary expreesion, left_input=7125, right_input=1322, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9419250","layer":1},{"info":"number node, value=2435","layer":2},{"info":"compute unary expreesion, input=2435, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=9419250, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=18838468","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸4159*⫖↰⪸922)⩷∴(⫖↰⪸14AB⊪)=⫖↰⪸6385A84","reverse_text":"⫖↰⪸6385A84=(⫖↰⪸4159*⫖↰⪸922)⩷∴(⫖↰⪸14AB⊪)","cot":[{"info":"⫖↰⪸4159*⫖↰⪸922=⫖↰⪸31A2B56","layer":1},{"info":"⫖↰⪸14AB⊪=⫖↰⪸0","layer":1},{"info":"⫖↰⪸31A2B56⩷∴⫖↰⪸0=⫖↰⪸6385A84","layer":0}]}
+{"id":855,"expression_no_base_symbol":"($1899$⊘)↺$6552$⩷∴$5419$","expression":"(⫖↰⪸1123⊘)↺⫖↰⪸3960⩷∴⫖↰⪸3177","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1899,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6552,"base":12},"right_expr":{"type":"numeric_atoms","value":5419,"base":12}}},"used_operators":["7j4O788W3g","gu96TGCTMs","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z"],"result":"⫖↰⪸1362","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1899","layer":2},{"info":"compute unary expreesion, input=1899, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"number node, value=6552","layer":2},{"info":"number node, value=5419","layer":2},{"info":"compute binary expreesion, left_input=6552, right_input=5419, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2234","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2234, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2234","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1123⊘)↺⫖↰⪸3960⩷∴⫖↰⪸3177=⫖↰⪸1362","reverse_text":"⫖↰⪸1362=(⫖↰⪸1123⊘)↺⫖↰⪸3960⩷∴⫖↰⪸3177","cot":[{"info":"⫖↰⪸1123⊘=⫖↰⪸0","layer":1},{"info":"⫖↰⪸3960⩷∴⫖↰⪸3177=⫖↰⪸1362","layer":1},{"info":"⫖↰⪸0↺⫖↰⪸1362=⫖↰⪸1362","layer":0}]}
+{"id":856,"expression_no_base_symbol":"($1848$⪨≂$1103$)∼($1178$⇼⇔∾$6892$)","expression":"(⫖↰⪸10A0⪨≂⫖↰⪸77B)∼(⫖↰⪸822⇼⇔∾⫖↰⪸3BA4)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1848,"base":12},"right_expr":{"type":"numeric_atoms","value":1103,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1178,"base":12},"right_expr":{"type":"numeric_atoms","value":6892,"base":12}}},"used_operators":["DyGG3AbaNP","sdazOOVcIp","tifHPKVTfV"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1848","layer":2},{"info":"number node, value=1103","layer":2},{"info":"compute binary expreesion, left_input=1848, right_input=1103, 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=1592","layer":1},{"info":"number node, value=1178","layer":2},{"info":"number node, value=6892","layer":2},{"info":"compute binary expreesion, left_input=1178, right_input=6892, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5714","layer":1},{"info":"compute binary expreesion, left_input=1592, right_input=5714, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸10A0⪨≂⫖↰⪸77B)∼(⫖↰⪸822⇼⇔∾⫖↰⪸3BA4)=NaN","reverse_text":"NaN=(⫖↰⪸10A0⪨≂⫖↰⪸77B)∼(⫖↰⪸822⇼⇔∾⫖↰⪸3BA4)","cot":[{"info":"⫖↰⪸10A0⪨≂⫖↰⪸77B=⫖↰⪸B08","layer":1},{"info":"⫖↰⪸822⇼⇔∾⫖↰⪸3BA4=⫖↰⪸3382","layer":1},{"info":"⫖↰⪸B08∼⫖↰⪸3382=NaN","layer":0}]}
+{"id":857,"expression_no_base_symbol":"$2696$∲⫓$2412$↪⪝","expression":"⫖↰⪸1688∲⫓⫖↰⪸1490↪⪝","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2696,"base":12},"right_expr":{"type":"numeric_atoms","value":2412,"base":12}}},"used_operators":["l07mrZUIn9","i8ToyICDmI"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2696","layer":2},{"info":"number node, value=2412","layer":2},{"info":"compute binary expreesion, left_input=2696, right_input=2412, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1688∲⫓⫖↰⪸1490↪⪝=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫖↰⪸1688∲⫓⫖↰⪸1490↪⪝","cot":[{"info":"⫖↰⪸1688∲⫓⫖↰⪸1490=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0↪⪝=⫖↰⪸0","layer":0}]}
+{"id":858,"expression_no_base_symbol":"($1903$⩷∴$4672$)⇷($1766$⨽$7785$)","expression":"(⫖↰⪸1127⩷∴⫖↰⪸2854)⇷(⫖↰⪸1032⨽⫖↰⪸4609)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":79769,"operation_count":3,"complexity_ratio":26589.666666666668,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1903,"base":12},"right_expr":{"type":"numeric_atoms","value":4672,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1766,"base":12},"right_expr":{"type":"numeric_atoms","value":7785,"base":12}}},"used_operators":["mp7IySMOzn","9FxExcQeMw","8HhzD0ZcuI"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1903","layer":2},{"info":"number node, value=4672","layer":2},{"info":"compute binary expreesion, left_input=1903, right_input=4672, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5570","layer":1},{"info":"number node, value=1766","layer":2},{"info":"number node, value=7785","layer":2},{"info":"compute binary expreesion, left_input=1766, right_input=7785, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9378309","layer":1},{"info":"compute binary expreesion, left_input=-5570, right_input=-9378309, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1127⩷∴⫖↰⪸2854)⇷(⫖↰⪸1032⨽⫖↰⪸4609)=NaN","reverse_text":"NaN=(⫖↰⪸1127⩷∴⫖↰⪸2854)⇷(⫖↰⪸1032⨽⫖↰⪸4609)","cot":[{"info":"⫖↰⪸1127⩷∴⫖↰⪸2854=⫖↰⪸-3282","layer":1},{"info":"⫖↰⪸1032⨽⫖↰⪸4609=⫖↰⪸-3183319","layer":1},{"info":"⫖↰⪸-3282⇷⫖↰⪸-3183319=NaN","layer":0}]}
+{"id":859,"expression_no_base_symbol":"($1399$⪄$7074$)↬($7499$⊭∹↮)","expression":"(⫖↰⪸987⪄⫖↰⪸4116)↬(⫖↰⪸440B⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":102,"operation_count":3,"complexity_ratio":34.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1399,"base":12},"right_expr":{"type":"numeric_atoms","value":7074,"base":12}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":7499,"base":12}}},"used_operators":["B5M0gjZbta","SUmda5xLS4","xNBdhnnwKq"],"dependent_operators":["rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1399","layer":2},{"info":"number node, value=7074","layer":2},{"info":"compute binary expreesion, left_input=1399, right_input=7074, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-231437","layer":1},{"info":"number node, value=7499","layer":2},{"info":"compute unary expreesion, input=7499, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=14998","layer":1},{"info":"compute binary expreesion, left_input=-231437, right_input=14998, 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":12,"result_base":12,"text":"(⫖↰⪸987⪄⫖↰⪸4116)↬(⫖↰⪸440B⊭∹↮)=NaN","reverse_text":"NaN=(⫖↰⪸987⪄⫖↰⪸4116)↬(⫖↰⪸440B⊭∹↮)","cot":[{"info":"⫖↰⪸987⪄⫖↰⪸4116=⫖↰⪸-B1B25","layer":1},{"info":"⫖↰⪸440B⊭∹↮=⫖↰⪸881A","layer":1},{"info":"⫖↰⪸-B1B25↬⫖↰⪸881A=NaN","layer":0}]}
+{"id":860,"expression_no_base_symbol":"($4337$⊦⊿)⪮%⊝($4132$+$1911$)","expression":"(⫖↰⪸2615⊦⊿)⪮%⊝(⫖↰⪸2484+⫖↰⪸1133)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4337,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4132,"base":12},"right_expr":{"type":"numeric_atoms","value":1911,"base":12}}},"used_operators":["IWmyXbctLI","14qkJME0vr","W4YGzv6Whe"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-12B74","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4337","layer":2},{"info":"compute unary expreesion, input=4337, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-13090","layer":1},{"info":"number node, value=4132","layer":2},{"info":"number node, value=1911","layer":2},{"info":"compute binary expreesion, left_input=4132, right_input=1911, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6043","layer":1},{"info":"compute binary expreesion, left_input=-13090, right_input=6043, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-25864","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2615⊦⊿)⪮%⊝(⫖↰⪸2484+⫖↰⪸1133)=⫖↰⪸-12B74","reverse_text":"⫖↰⪸-12B74=(⫖↰⪸2615⊦⊿)⪮%⊝(⫖↰⪸2484+⫖↰⪸1133)","cot":[{"info":"⫖↰⪸2615⊦⊿=⫖↰⪸-76AA","layer":1},{"info":"⫖↰⪸2484+⫖↰⪸1133=⫖↰⪸35B7","layer":1},{"info":"⫖↰⪸-76AA⪮%⊝⫖↰⪸35B7=⫖↰⪸-12B74","layer":0}]}
+{"id":861,"expression_no_base_symbol":"($2653$↬$1837$)⩠","expression":"(⫖↰⪸1651↬⫖↰⪸1091)⩠","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2653,"base":12},"right_expr":{"type":"numeric_atoms","value":1837,"base":12}}},"used_operators":["sJAwomhLZr","B5M0gjZbta"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2653","layer":2},{"info":"number node, value=1837","layer":2},{"info":"compute binary expreesion, left_input=2653, right_input=1837, 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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1651↬⫖↰⪸1091)⩠=NaN","reverse_text":"NaN=(⫖↰⪸1651↬⫖↰⪸1091)⩠","cot":[{"info":"⫖↰⪸1651↬⫖↰⪸1091=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
+{"id":862,"expression_no_base_symbol":"($5139$⨳⩥⨓$1204$)⋥≓≎$1806$⨎$5220$","expression":"(⫖↰⪸2B83⨳⩥⨓⫖↰⪸844)⋥≓≎⫖↰⪸1066⨎⫖↰⪸3030","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5139,"base":12},"right_expr":{"type":"numeric_atoms","value":1204,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1806,"base":12},"right_expr":{"type":"numeric_atoms","value":5220,"base":12}}},"used_operators":["Qy55tPpLXF","nCS4ZIUYfx","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5139","layer":2},{"info":"number node, value=1204","layer":2},{"info":"compute binary expreesion, left_input=5139, right_input=1204, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3935","layer":1},{"info":"number node, value=1806","layer":2},{"info":"number node, value=5220","layer":2},{"info":"compute binary expreesion, left_input=1806, right_input=5220, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5220","layer":1},{"info":"compute binary expreesion, left_input=-3935, right_input=5220, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2B83⨳⩥⨓⫖↰⪸844)⋥≓≎⫖↰⪸1066⨎⫖↰⪸3030=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⫖↰⪸2B83⨳⩥⨓⫖↰⪸844)⋥≓≎⫖↰⪸1066⨎⫖↰⪸3030","cot":[{"info":"⫖↰⪸2B83⨳⩥⨓⫖↰⪸844=⫖↰⪸-233B","layer":1},{"info":"⫖↰⪸1066⨎⫖↰⪸3030=⫖↰⪸3030","layer":1},{"info":"⫖↰⪸-233B⋥≓≎⫖↰⪸3030=⫖↰⪸57","layer":0}]}
+{"id":863,"expression_no_base_symbol":"(⨈⫕$1027$)⪘⫢($3747$⊉≛↸$2797$)","expression":"(⨈⫕⫖↰⪸717)⪘⫢(⫖↰⪸2203⊉≛↸⫖↰⪸1751)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":406,"operation_count":3,"complexity_ratio":135.33333333333334,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1027,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3747,"base":12},"right_expr":{"type":"numeric_atoms","value":2797,"base":12}}},"used_operators":["oacrs7FA3X","megm06wKyl","DZ8iAZOCBD"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-874","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1027","layer":2},{"info":"compute unary expreesion, input=1027, 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=3747","layer":2},{"info":"number node, value=2797","layer":2},{"info":"compute binary expreesion, left_input=3747, right_input=2797, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7494","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=7494, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1240","layer":0}],"base":12,"result_base":12,"text":"(⨈⫕⫖↰⪸717)⪘⫢(⫖↰⪸2203⊉≛↸⫖↰⪸1751)=⫖↰⪸-874","reverse_text":"⫖↰⪸-874=(⨈⫕⫖↰⪸717)⪘⫢(⫖↰⪸2203⊉≛↸⫖↰⪸1751)","cot":[{"info":"⨈⫕⫖↰⪸717=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸2203⊉≛↸⫖↰⪸1751=⫖↰⪸4406","layer":1},{"info":"⫖↰⪸-19⪘⫢⫖↰⪸4406=⫖↰⪸-874","layer":0}]}
+{"id":864,"expression_no_base_symbol":"($9026$≎⊠⪸$3616$)↬($2397$⊉≛↸$4315$)","expression":"(⫖↰⪸5282≎⊠⪸⫖↰⪸2114)↬(⫖↰⪸1479⊉≛↸⫖↰⪸25B7)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":273,"operation_count":3,"complexity_ratio":91.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":9026,"base":12},"right_expr":{"type":"numeric_atoms","value":3616,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2397,"base":12},"right_expr":{"type":"numeric_atoms","value":4315,"base":12}}},"used_operators":["B5M0gjZbta","bJkvcejdHO","DZ8iAZOCBD"],"dependent_operators":["rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=9026","layer":2},{"info":"number node, value=3616","layer":2},{"info":"compute binary expreesion, left_input=9026, right_input=3616, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2337261","layer":1},{"info":"number node, value=2397","layer":2},{"info":"number node, value=4315","layer":2},{"info":"compute binary expreesion, left_input=2397, right_input=4315, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4794","layer":1},{"info":"compute binary expreesion, left_input=2337261, right_input=4794, 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":12,"result_base":12,"text":"(⫖↰⪸5282≎⊠⪸⫖↰⪸2114)↬(⫖↰⪸1479⊉≛↸⫖↰⪸25B7)=NaN","reverse_text":"NaN=(⫖↰⪸5282≎⊠⪸⫖↰⪸2114)↬(⫖↰⪸1479⊉≛↸⫖↰⪸25B7)","cot":[{"info":"⫖↰⪸5282≎⊠⪸⫖↰⪸2114=⫖↰⪸9486B9","layer":1},{"info":"⫖↰⪸1479⊉≛↸⫖↰⪸25B7=⫖↰⪸2936","layer":1},{"info":"⫖↰⪸9486B9↬⫖↰⪸2936=NaN","layer":0}]}
+{"id":865,"expression_no_base_symbol":"($1002$⨐⩸⫘$5892$)⊪","expression":"(⫖↰⪸6B6⨐⩸⫘⫖↰⪸34B0)⊪","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":2,"complexity_ratio":7.0,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1002,"base":12},"right_expr":{"type":"numeric_atoms","value":5892,"base":12}}},"used_operators":["zVYPLywUTj","fu6greOZ01"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1002","layer":2},{"info":"number node, value=5892","layer":2},{"info":"compute binary expreesion, left_input=1002, right_input=5892, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":12,"result_base":12,"text":"(⫖↰⪸6B6⨐⩸⫘⫖↰⪸34B0)⊪=NaN","reverse_text":"NaN=(⫖↰⪸6B6⨐⩸⫘⫖↰⪸34B0)⊪","cot":[{"info":"⫖↰⪸6B6⨐⩸⫘⫖↰⪸34B0=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
+{"id":866,"expression_no_base_symbol":"$1037$≎⊠⪸$6432$⫸⊐($1327$⨸⪁$2915$)","expression":"⫖↰⪸725≎⊠⪸⫖↰⪸3880⫸⊐(⫖↰⪸927⨸⪁⫖↰⪸182B)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":297,"operation_count":3,"complexity_ratio":99.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1037,"base":12},"right_expr":{"type":"numeric_atoms","value":6432,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1327,"base":12},"right_expr":{"type":"numeric_atoms","value":2915,"base":12}}},"used_operators":["mqXw5SEYmG","bJkvcejdHO","g55IO6H4Gj"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe"],"result":"⫖↰⪸17697","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":2},{"info":"number node, value=6432","layer":2},{"info":"compute binary expreesion, left_input=1037, right_input=6432, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b���⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=268110","layer":1},{"info":"number node, value=1327","layer":2},{"info":"number node, value=2915","layer":2},{"info":"compute binary expreesion, left_input=1327, right_input=2915, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8484","layer":1},{"info":"compute binary expreesion, left_input=268110, right_input=8484, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=33811","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸725≎⊠⪸⫖↰⪸3880⫸⊐(⫖↰⪸927⨸⪁⫖↰⪸182B)=⫖↰⪸17697","reverse_text":"⫖↰⪸17697=⫖↰⪸725≎⊠⪸⫖↰⪸3880⫸⊐(⫖↰⪸927⨸⪁⫖↰⪸182B)","cot":[{"info":"⫖↰⪸725≎⊠⪸⫖↰⪸3880=⫖↰⪸10B1A6","layer":1},{"info":"⫖↰⪸927⨸⪁⫖↰⪸182B=⫖↰⪸4AB0","layer":1},{"info":"⫖↰⪸10B1A6⫸⊐⫖↰⪸4AB0=⫖↰⪸17697","layer":0}]}
+{"id":867,"expression_no_base_symbol":"(⨰⫟⨤$1364$)≧⫂∧$5112$⨓$3994$","expression":"(⨰⫟⨤⫖↰⪸958)≧⫂∧⫖↰⪸2B60⨓⫖↰⪸238A","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8618,"operation_count":3,"complexity_ratio":2872.6666666666665,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1364,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5112,"base":12},"right_expr":{"type":"numeric_atoms","value":3994,"base":12}}},"used_operators":["Ph9nP6C5qx","Tw270M8GLb","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1364","layer":2},{"info":"compute unary expreesion, input=1364, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=5112","layer":2},{"info":"number node, value=3994","layer":2},{"info":"compute binary expreesion, left_input=5112, right_input=3994, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3997","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3997, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨰⫟⨤⫖↰⪸958)≧⫂∧⫖↰⪸2B60⨓⫖↰⪸238A=NaN","reverse_text":"NaN=(⨰⫟⨤⫖↰⪸958)≧⫂∧⫖↰⪸2B60⨓⫖↰⪸238A","cot":[{"info":"⨰⫟⨤⫖↰⪸958=NaN","layer":1},{"info":"⫖↰⪸2B60⨓⫖↰⪸238A=⫖↰⪸-2391","layer":1},{"info":"NaN≧⫂∧⫖↰⪸-2391=NaN","layer":0}]}
+{"id":868,"expression_no_base_symbol":"(⊙↵-$5807$)⪘⫢($1986$⊘)","expression":"(⊙↵-⫖↰⪸343B)⪘⫢(⫖↰⪸1196⊘)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5881,"operation_count":3,"complexity_ratio":1960.3333333333333,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5807,"base":12}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1986,"base":12}}},"used_operators":["oacrs7FA3X","oWn0xqSxBt","gu96TGCTMs"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5807","layer":2},{"info":"compute unary expreesion, input=5807, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=1986","layer":2},{"info":"compute unary expreesion, input=1986, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⊙↵-⫖↰⪸343B)⪘⫢(⫖↰⪸1196⊘)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⊙↵-⫖↰⪸343B)⪘⫢(⫖↰⪸1196⊘)","cot":[{"info":"⊙↵-⫖↰⪸343B=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸1196⊘=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-1⪘⫢⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":869,"expression_no_base_symbol":"($4412$/$6779$)⨪↰⇹(⩦⩻⨪$1937$)","expression":"(⫖↰⪸2678/⫖↰⪸3B0B)⨪↰⇹(⩦⩻⨪⫖↰⪸1155)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4412,"base":12},"right_expr":{"type":"numeric_atoms","value":6779,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1937,"base":12}}},"used_operators":["tmPS8pqC7x","XhwjNDsVaA","2td37pGCOC"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4412","layer":2},{"info":"number node, value=6779","layer":2},{"info":"compute binary expreesion, left_input=4412, right_input=6779, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1937","layer":2},{"info":"compute unary expreesion, input=1937, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1937","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1937, 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":12,"result_base":12,"text":"(⫖↰⪸2678/⫖↰⪸3B0B)⨪↰⇹(⩦⩻⨪⫖↰⪸1155)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸2678/⫖↰⪸3B0B)⨪↰⇹(⩦⩻⨪⫖↰⪸1155)","cot":[{"info":"⫖↰⪸2678/⫖↰⪸3B0B=⫖↰⪸0","layer":1},{"info":"⩦⩻⨪⫖↰⪸1155=⫖↰⪸1155","layer":1},{"info":"⫖↰⪸0⨪↰⇹⫖↰⪸1155=⫖↰⪸0","layer":0}]}
+{"id":870,"expression_no_base_symbol":"↩($1493$⩤)","expression":"↩(⫖↰⪸A45⩤)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1493,"base":12}}},"used_operators":["jLgFTUHLKL","Z2TMIBDE3Q"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸4B80","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1493","layer":2},{"info":"compute unary expreesion, input=1493, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1493","layer":1},{"info":"compute unary expreesion, input=-1493, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=8592","layer":0}],"base":12,"result_base":12,"text":"↩(⫖↰⪸A45⩤)=⫖↰⪸4B80","reverse_text":"⫖↰⪸4B80=↩(⫖↰⪸A45⩤)","cot":[{"info":"⫖↰⪸A45⩤=⫖↰⪸-A45","layer":1},{"info":"↩⫖↰⪸-A45=⫖↰⪸4B80","layer":0}]}
+{"id":871,"expression_no_base_symbol":"≦∁(⋗⩬⋾$2214$)","expression":"≦∁(⋗⩬⋾⫖↰⪸1346)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":51,"operation_count":2,"complexity_ratio":25.5,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2214,"base":12}}},"used_operators":["9ICcGScMcE","DpFCA1CohY"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2214","layer":2},{"info":"compute unary expreesion, input=2214, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6642","layer":1},{"info":"compute unary expreesion, input=-6642, 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":12,"result_base":12,"text":"≦∁(⋗⩬⋾⫖↰⪸1346)=⫖↰⪸57","reverse_text":"⫖↰⪸57=≦∁(⋗⩬⋾⫖↰⪸1346)","cot":[{"info":"⋗⩬⋾⫖↰⪸1346=⫖↰⪸-3A16","layer":1},{"info":"≦∁⫖↰⪸-3A16=⫖↰⪸57","layer":0}]}
+{"id":872,"expression_no_base_symbol":"(↣≠⋷$1015$)⩨$1012$⨪↰⇹$3292$","expression":"(↣≠⋷⫖↰⪸707)⩨⫖↰⪸704⨪↰⇹⫖↰⪸1AA4","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1019,"operation_count":3,"complexity_ratio":339.6666666666667,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1015,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1012,"base":12},"right_expr":{"type":"numeric_atoms","value":3292,"base":12}}},"used_operators":["2DlMacCsIx","Asc51vEJeQ","tmPS8pqC7x"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","AHs5Up7iyr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1015","layer":2},{"info":"compute unary expreesion, input=1015, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=1012","layer":2},{"info":"number node, value=3292","layer":2},{"info":"compute binary expreesion, left_input=1012, right_input=3292, 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=1012","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1012, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↣≠⋷⫖↰⪸707)⩨⫖↰⪸704⨪↰⇹⫖↰⪸1AA4=NaN","reverse_text":"NaN=(↣≠⋷⫖↰⪸707)⩨⫖↰⪸704⨪↰⇹⫖↰⪸1AA4","cot":[{"info":"↣≠⋷⫖↰⪸707=NaN","layer":1},{"info":"⫖↰⪸704⨪↰⇹⫖↰⪸1AA4=⫖↰⪸704","layer":1},{"info":"NaN⩨⫖↰⪸704=NaN","layer":0}]}
+{"id":873,"expression_no_base_symbol":"⋗⩬⋾($7655$+$8792$)","expression":"⋗⩬⋾(⫖↰⪸451B+⫖↰⪸5108)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7655,"base":12},"right_expr":{"type":"numeric_atoms","value":8792,"base":12}}},"used_operators":["DpFCA1CohY","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-24679","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7655","layer":2},{"info":"number node, value=8792","layer":2},{"info":"compute binary expreesion, left_input=7655, right_input=8792, op_id = W4YGzv6Whe binary_op_definition= 'None', output=16447","layer":1},{"info":"compute unary expreesion, input=16447, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-49341","layer":0}],"base":12,"result_base":12,"text":"⋗⩬⋾(⫖↰⪸451B+⫖↰⪸5108)=⫖↰⪸-24679","reverse_text":"⫖↰⪸-24679=⋗⩬⋾(⫖↰⪸451B+⫖↰⪸5108)","cot":[{"info":"⫖↰⪸451B+⫖↰⪸5108=⫖↰⪸9627","layer":1},{"info":"⋗⩬⋾⫖↰⪸9627=⫖↰⪸-24679","layer":0}]}
+{"id":874,"expression_no_base_symbol":"$4934$⋝⋈⪟$2244$⋝⋈⪟(⇁⨣⪵$3383$)","expression":"⫖↰⪸2A32⋝⋈⪟⫖↰⪸1370⋝⋈⪟(⇁⨣⪵⫖↰⪸1B5B)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4934,"base":12},"right_expr":{"type":"numeric_atoms","value":2244,"base":12}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3383,"base":12}}},"used_operators":["2DDjHMKMc0","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4934","layer":2},{"info":"number node, value=2244","layer":2},{"info":"compute binary expreesion, left_input=4934, right_input=2244, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4934","layer":1},{"info":"number node, value=3383","layer":2},{"info":"compute unary expreesion, input=3383, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4934, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2A32⋝⋈⪟⫖↰⪸1370⋝⋈⪟(⇁⨣⪵⫖↰⪸1B5B)=NaN","reverse_text":"NaN=⫖↰⪸2A32⋝⋈⪟⫖↰⪸1370⋝⋈⪟(⇁⨣⪵⫖↰⪸1B5B)","cot":[{"info":"⫖↰⪸2A32⋝⋈⪟⫖↰⪸1370=⫖↰⪸2A32","layer":1},{"info":"⇁⨣⪵⫖↰⪸1B5B=NaN","layer":1},{"info":"⫖↰⪸2A32⋝⋈⪟NaN=NaN","layer":0}]}
+{"id":875,"expression_no_base_symbol":"($6047$⪒$2219$)⋓($2964$⊪)","expression":"(⫖↰⪸35BB⪒⫖↰⪸134B)⋓(⫖↰⪸1870⊪)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":49,"operation_count":3,"complexity_ratio":16.333333333333332,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6047,"base":12},"right_expr":{"type":"numeric_atoms","value":2219,"base":12}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2964,"base":12}}},"used_operators":["T2fj7uvVaJ","f6k1SAg4EE","zVYPLywUTj"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6047","layer":2},{"info":"number node, value=2219","layer":2},{"info":"compute binary expreesion, left_input=6047, right_input=2219, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8266","layer":1},{"info":"number node, value=2964","layer":2},{"info":"compute unary expreesion, input=2964, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-8266, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸35BB⪒⫖↰⪸134B)⋓(⫖↰⪸1870⊪)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸35BB⪒⫖↰⪸134B)⋓(⫖↰⪸1870⊪)","cot":[{"info":"⫖↰⪸35BB⪒⫖↰⪸134B=⫖↰⪸-494A","layer":1},{"info":"⫖↰⪸1870⊪=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-494A⋓⫖↰⪸0=⫖↰⪸0","layer":0}]}
+{"id":876,"expression_no_base_symbol":"($1091$⨸⪁$5835$)⊘","expression":"(⫖↰⪸76B⨸⪁⫖↰⪸3463)⊘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":22,"operation_count":2,"complexity_ratio":11.0,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1091,"base":12},"right_expr":{"type":"numeric_atoms","value":5835,"base":12}}},"used_operators":["gu96TGCTMs","g55IO6H4Gj"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1091","layer":2},{"info":"number node, value=5835","layer":2},{"info":"compute binary expreesion, left_input=1091, right_input=5835, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13852","layer":1},{"info":"compute unary expreesion, input=13852, 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":12,"result_base":12,"text":"(⫖↰⪸76B⨸⪁⫖↰⪸3463)⊘=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸76B⨸⪁⫖↰⪸3463)⊘","cot":[{"info":"⫖↰⪸76B⨸⪁⫖↰⪸3463=⫖↰⪸8024","layer":1},{"info":"⫖↰⪸8024⊘=⫖↰⪸0","layer":0}]}
+{"id":877,"expression_no_base_symbol":"(↯⪼$1292$)*($1122$*$1173$)","expression":"(↯⪼⫖↰⪸8B8)*(⫖↰⪸796*⫖↰⪸819)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1174,"operation_count":3,"complexity_ratio":391.3333333333333,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1292,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1122,"base":12},"right_expr":{"type":"numeric_atoms","value":1173,"base":12}}},"used_operators":["9HNa5Wba9A","8jW3W4yZS5"],"dependent_operators":["W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⫖↰⪸-930A416","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1292","layer":2},{"info":"compute unary expreesion, input=1292, 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=1122","layer":2},{"info":"number node, value=1173","layer":2},{"info":"compute binary expreesion, left_input=1122, right_input=1173, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1316106","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=1316106, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-27638226","layer":0}],"base":12,"result_base":12,"text":"(↯⪼⫖↰⪸8B8)*(⫖↰⪸796*⫖↰⪸819)=⫖↰⪸-930A416","reverse_text":"⫖↰⪸-930A416=(↯⪼⫖↰⪸8B8)*(⫖↰⪸796*⫖↰⪸819)","cot":[{"info":"↯⪼⫖↰⪸8B8=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸796*⫖↰⪸819=⫖↰⪸535776","layer":1},{"info":"⫖↰⪸-19*⫖↰⪸535776=⫖↰⪸-930A416","layer":0}]}
+{"id":878,"expression_no_base_symbol":"($5330$∧)⩨$4636$⇷$1068$","expression":"(⫖↰⪸3102∧)⩨⫖↰⪸2824⇷⫖↰⪸750","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":64920,"operation_count":3,"complexity_ratio":21640.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5330,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4636,"base":12},"right_expr":{"type":"numeric_atoms","value":1068,"base":12}}},"used_operators":["2DlMacCsIx","z63VuFQld9","mp7IySMOzn"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5330","layer":2},{"info":"compute unary expreesion, input=5330, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"number node, value=4636","layer":2},{"info":"number node, value=1068","layer":2},{"info":"compute binary expreesion, left_input=4636, right_input=1068, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2136","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2136, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3102∧)⩨⫖↰⪸2824⇷⫖↰⪸750=NaN","reverse_text":"NaN=(⫖↰⪸3102∧)⩨⫖↰⪸2824⇷⫖↰⪸750","cot":[{"info":"⫖↰⪸3102∧=NaN","layer":1},{"info":"⫖↰⪸2824⇷⫖↰⪸750=⫖↰⪸12A0","layer":1},{"info":"NaN⩨⫖↰⪸12A0=NaN","layer":0}]}
+{"id":879,"expression_no_base_symbol":"($2584$⪨≂$1683$)≭($2221$⫌⩹⨱)","expression":"(⫖↰⪸15B4⪨≂⫖↰⪸B83)≭(⫖↰⪸1351⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2584,"base":12},"right_expr":{"type":"numeric_atoms","value":1683,"base":12}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2221,"base":12}}},"used_operators":["rxpJgHHUmx","sdazOOVcIp","EBcxylXtPf"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2584","layer":2},{"info":"number node, value=1683","layer":2},{"info":"compute binary expreesion, left_input=2584, right_input=1683, 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=1904","layer":1},{"info":"number node, value=2221","layer":2},{"info":"compute unary expreesion, input=2221, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5843","layer":1},{"info":"compute binary expreesion, left_input=1904, right_input=5843, 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":12,"result_base":12,"text":"(⫖↰⪸15B4⪨≂⫖↰⪸B83)≭(⫖↰⪸1351⫌⩹⨱)=NaN","reverse_text":"NaN=(⫖↰⪸15B4⪨≂⫖↰⪸B83)≭(⫖↰⪸1351⫌⩹⨱)","cot":[{"info":"⫖↰⪸15B4⪨≂⫖↰⪸B83=⫖↰⪸1128","layer":1},{"info":"⫖↰⪸1351⫌⩹⨱=⫖↰⪸346B","layer":1},{"info":"⫖↰⪸1128≭⫖↰⪸346B=NaN","layer":0}]}
+{"id":880,"expression_no_base_symbol":"($2989$⨳⩥⨓$2911$)≭($1043$⪨≂$2282$)","expression":"(⫖↰⪸1891⨳⩥⨓⫖↰⪸1827)≭(⫖↰⪸72B⪨≂⫖↰⪸13A2)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2989,"base":12},"right_expr":{"type":"numeric_atoms","value":2911,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1043,"base":12},"right_expr":{"type":"numeric_atoms","value":2282,"base":12}}},"used_operators":["rxpJgHHUmx","nCS4ZIUYfx","sdazOOVcIp"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2989","layer":2},{"info":"number node, value=2911","layer":2},{"info":"compute binary expreesion, left_input=2989, right_input=2911, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-78","layer":1},{"info":"number node, value=1043","layer":2},{"info":"number node, value=2282","layer":2},{"info":"compute binary expreesion, left_input=1043, right_input=2282, 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=-2376","layer":1},{"info":"compute binary expreesion, left_input=-78, right_input=-2376, 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":12,"result_base":12,"text":"(⫖↰⪸1891⨳⩥⨓⫖↰⪸1827)≭(⫖↰⪸72B⪨≂⫖↰⪸13A2)=NaN","reverse_text":"NaN=(⫖↰⪸1891⨳⩥⨓⫖↰⪸1827)≭(⫖↰⪸72B⪨≂⫖↰⪸13A2)","cot":[{"info":"⫖↰⪸1891⨳⩥⨓⫖↰⪸1827=⫖↰⪸-66","layer":1},{"info":"⫖↰⪸72B⪨≂⫖↰⪸13A2=⫖↰⪸-1460","layer":1},{"info":"⫖↰⪸-66≭⫖↰⪸-1460=NaN","layer":0}]}
+{"id":881,"expression_no_base_symbol":"↩$3374$≎⊠⪸$2038$","expression":"↩⫖↰⪸1B52≎⊠⪸⫖↰⪸121A","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":286,"operation_count":2,"complexity_ratio":143.0,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3374,"base":12},"right_expr":{"type":"numeric_atoms","value":2038,"base":12}}},"used_operators":["jLgFTUHLKL","bJkvcejdHO"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫖↰⪸-2409A64","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3374","layer":2},{"info":"number node, value=2038","layer":2},{"info":"compute binary expreesion, left_input=3374, right_input=2038, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=873393","layer":1},{"info":"compute unary expreesion, input=873393, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6984364","layer":0}],"base":12,"result_base":12,"text":"↩⫖↰⪸1B52≎⊠⪸⫖↰⪸121A=⫖↰⪸-2409A64","reverse_text":"⫖↰⪸-2409A64=↩⫖↰⪸1B52≎⊠⪸⫖↰⪸121A","cot":[{"info":"⫖↰⪸1B52≎⊠⪸⫖↰⪸121A=⫖↰⪸361529","layer":1},{"info":"↩⫖↰⪸361529=⫖↰⪸-2409A64","layer":0}]}
+{"id":882,"expression_no_base_symbol":"($2748$⪐)⨟⋌⩍($3508$⨵⪆$1934$)","expression":"(⫖↰⪸1710⪐)⨟⋌⩍(⫖↰⪸2044⨵⪆⫖↰⪸1152)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1153,"operation_count":3,"complexity_ratio":384.3333333333333,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2748,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3508,"base":12},"right_expr":{"type":"numeric_atoms","value":1934,"base":12}}},"used_operators":["rGHVDoGpnC","eH2TOUuTDT","2DQ55sFlQl"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2748","layer":2},{"info":"compute unary expreesion, input=2748, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5496","layer":1},{"info":"number node, value=3508","layer":2},{"info":"number node, value=1934","layer":2},{"info":"compute binary expreesion, left_input=3508, right_input=1934, 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=5496, right_input=160, 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":12,"result_base":12,"text":"(⫖↰⪸1710⪐)⨟⋌⩍(⫖↰⪸2044⨵⪆⫖↰⪸1152)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸1710⪐)⨟⋌⩍(⫖↰⪸2044⨵⪆⫖↰⪸1152)","cot":[{"info":"⫖↰⪸1710⪐=⫖↰⪸3220","layer":1},{"info":"⫖↰⪸2044⨵⪆⫖↰⪸1152=⫖↰⪸114","layer":1},{"info":"⫖↰⪸3220⨟⋌⩍⫖↰⪸114=⫖↰⪸0","layer":0}]}
+{"id":883,"expression_no_base_symbol":"↣≠⋷($1454$≦≮≮)","expression":"↣≠⋷(⫖↰⪸A12≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1454,"base":12}}},"used_operators":["Asc51vEJeQ","D4vGDi5EA2"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1454","layer":2},{"info":"compute unary expreesion, input=1454, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4362","layer":1},{"info":"compute unary expreesion, input=-4362, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↣≠⋷(⫖↰⪸A12≦≮≮)=NaN","reverse_text":"NaN=↣≠⋷(⫖↰⪸A12≦≮≮)","cot":[{"info":"⫖↰⪸A12≦≮≮=⫖↰⪸-2636","layer":1},{"info":"↣≠⋷⫖↰⪸-2636=NaN","layer":0}]}
+{"id":884,"expression_no_base_symbol":"($6775$⩨$1943$)⫩⊇","expression":"(⫖↰⪸3B07⩨⫖↰⪸115B)⫩⊇","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6775,"base":12},"right_expr":{"type":"numeric_atoms","value":1943,"base":12}}},"used_operators":["BjRHVeLaeN","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸36","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6775","layer":2},{"info":"number node, value=1943","layer":2},{"info":"compute binary expreesion, left_input=6775, right_input=1943, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=42","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3B07⩨⫖↰⪸115B)⫩⊇=⫖↰⪸36","reverse_text":"⫖↰⪸36=(⫖↰⪸3B07⩨⫖↰⪸115B)⫩⊇","cot":[{"info":"⫖↰⪸3B07⩨⫖↰⪸115B=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⫩⊇=⫖↰⪸36","layer":0}]}
+{"id":885,"expression_no_base_symbol":"($4291$⩠)⨎($1714$⊭↱$1326$)","expression":"(⫖↰⪸2597⩠)⨎(⫖↰⪸BAA⊭↱⫖↰⪸926)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4291,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1714,"base":12},"right_expr":{"type":"numeric_atoms","value":1326,"base":12}}},"used_operators":["rJVOvQCfKK","sJAwomhLZr","COABgblf1C"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-543","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4291","layer":2},{"info":"compute unary expreesion, input=4291, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"number node, value=1714","layer":2},{"info":"number node, value=1326","layer":2},{"info":"compute binary expreesion, left_input=1714, right_input=1326, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-771","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-771, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-771","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2597⩠)⨎(⫖↰⪸BAA⊭↱⫖↰⪸926)=⫖↰⪸-543","reverse_text":"⫖↰⪸-543=(⫖↰⪸2597⩠)⨎(⫖↰⪸BAA⊭↱⫖↰⪸926)","cot":[{"info":"⫖↰⪸2597⩠=⫖↰⪸0","layer":1},{"info":"⫖↰⪸BAA⊭↱⫖↰⪸926=⫖↰⪸-543","layer":1},{"info":"⫖↰⪸0⨎⫖↰⪸-543=⫖↰⪸-543","layer":0}]}
+{"id":886,"expression_no_base_symbol":"$1079$⪢$1297$⨳⩥⨓$1208$⫥∨⫟$2030$","expression":"⫖↰⪸75B⪢⫖↰⪸901⨳⩥⨓⫖↰⪸848⫥∨⫟⫖↰⪸1212","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1454,"operation_count":3,"complexity_ratio":484.6666666666667,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1079,"base":12},"right_expr":{"type":"numeric_atoms","value":1297,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1208,"base":12},"right_expr":{"type":"numeric_atoms","value":2030,"base":12}}},"used_operators":["nCS4ZIUYfx","dWAJyo7jo9","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1079","layer":2},{"info":"number node, value=1297","layer":2},{"info":"compute binary expreesion, left_input=1079, right_input=1297, 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=1208","layer":2},{"info":"number node, value=2030","layer":2},{"info":"compute binary expreesion, left_input=1208, right_input=2030, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸75B⪢⫖↰⪸901⨳⩥⨓⫖↰⪸848⫥∨⫟⫖↰⪸1212=NaN","reverse_text":"NaN=⫖↰⪸75B⪢⫖↰⪸901⨳⩥⨓⫖↰⪸848⫥∨⫟⫖↰⪸1212","cot":[{"info":"⫖↰⪸75B⪢⫖↰⪸901=NaN","layer":1},{"info":"⫖↰⪸848⫥∨⫟⫖↰⪸1212=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
+{"id":887,"expression_no_base_symbol":"∂($2020$⫸⊐$1037$)","expression":"∂(⫖↰⪸1204⫸⊐⫖↰⪸725)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2020,"base":12},"right_expr":{"type":"numeric_atoms","value":1037,"base":12}}},"used_operators":["Uaa54Peajs","mqXw5SEYmG"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2020","layer":2},{"info":"number node, value=1037","layer":2},{"info":"compute binary expreesion, left_input=2020, right_input=1037, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4023","layer":1},{"info":"compute unary expreesion, input=4023, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∂(⫖↰⪸1204⫸⊐⫖↰⪸725)=NaN","reverse_text":"NaN=∂(⫖↰⪸1204⫸⊐⫖↰⪸725)","cot":[{"info":"⫖↰⪸1204⫸⊐⫖↰⪸725=⫖↰⪸23B3","layer":1},{"info":"∂⫖↰⪸23B3=NaN","layer":0}]}
+{"id":888,"expression_no_base_symbol":"(≦∁$3493$)⫩⊇","expression":"(≦∁⫖↰⪸2031)⫩⊇","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3493,"base":12}}},"used_operators":["BjRHVeLaeN","9ICcGScMcE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫖↰⪸-1BB7","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3493","layer":2},{"info":"compute unary expreesion, input=3493, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3493","layer":1},{"info":"compute unary expreesion, input=3493, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3451","layer":0}],"base":12,"result_base":12,"text":"(≦∁⫖↰⪸2031)⫩⊇=⫖↰⪸-1BB7","reverse_text":"⫖↰⪸-1BB7=(≦∁⫖↰⪸2031)⫩⊇","cot":[{"info":"≦∁⫖↰⪸2031=⫖↰⪸2031","layer":1},{"info":"⫖↰⪸2031⫩⊇=⫖↰⪸-1BB7","layer":0}]}
+{"id":889,"expression_no_base_symbol":"$2011$⋓$4440$⩷∴($1005$⋳⪒$1875$)","expression":"⫖↰⪸11B7⋓⫖↰⪸26A0⩷∴(⫖↰⪸6B9⋳⪒⫖↰⪸1103)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2011,"base":12},"right_expr":{"type":"numeric_atoms","value":4440,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1005,"base":12},"right_expr":{"type":"numeric_atoms","value":1875,"base":12}}},"used_operators":["9FxExcQeMw","T2fj7uvVaJ","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸1A8","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2011","layer":2},{"info":"number node, value=4440","layer":2},{"info":"compute binary expreesion, left_input=2011, right_input=4440, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=1005","layer":2},{"info":"number node, value=1875","layer":2},{"info":"compute binary expreesion, left_input=1005, right_input=1875, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-152","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-152, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=272","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸11B7⋓⫖↰⪸26A0⩷∴(⫖↰⪸6B9⋳⪒⫖↰⪸1103)=⫖↰⪸1A8","reverse_text":"⫖↰⪸1A8=⫖↰⪸11B7⋓⫖↰⪸26A0⩷∴(⫖↰⪸6B9⋳⪒⫖↰⪸1103)","cot":[{"info":"⫖↰⪸11B7⋓⫖↰⪸26A0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸6B9⋳⪒⫖↰⪸1103=⫖↰⪸-108","layer":1},{"info":"⫖↰⪸0⩷∴⫖↰⪸-108=⫖↰⪸1A8","layer":0}]}
+{"id":890,"expression_no_base_symbol":"$3091$⨳⩥⨓$2848$⨵⪆(∥⊫$5819$)","expression":"⫖↰⪸1957⨳⩥⨓⫖↰⪸1794⨵⪆(∥⊫⫖↰⪸344B)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3091,"base":12},"right_expr":{"type":"numeric_atoms","value":2848,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5819,"base":12}}},"used_operators":["2DQ55sFlQl","nCS4ZIUYfx","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3091","layer":2},{"info":"number node, value=2848","layer":2},{"info":"compute binary expreesion, left_input=3091, right_input=2848, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-243","layer":1},{"info":"number node, value=5819","layer":2},{"info":"compute unary expreesion, input=5819, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6687","layer":1},{"info":"compute binary expreesion, left_input=-243, right_input=6687, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1957⨳⩥⨓⫖↰⪸1794⨵⪆(∥⊫⫖↰⪸344B)=⫖↰⪸114","reverse_text":"⫖↰⪸114=⫖↰⪸1957⨳⩥⨓⫖↰⪸1794⨵⪆(∥⊫⫖↰⪸344B)","cot":[{"info":"⫖↰⪸1957⨳⩥⨓⫖↰⪸1794=⫖↰⪸-183","layer":1},{"info":"∥⊫⫖↰⪸344B=⫖↰⪸3A53","layer":1},{"info":"⫖↰⪸-183⨵⪆⫖↰⪸3A53=⫖↰⪸114","layer":0}]}
+{"id":891,"expression_no_base_symbol":"($5188$-$4686$)⊴($1808$∀⇚≩$4246$)","expression":"(⫖↰⪸3004-⫖↰⪸2866)⊴(⫖↰⪸1068∀⇚≩⫖↰⪸255A)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12664,"operation_count":3,"complexity_ratio":4221.333333333333,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5188,"base":12},"right_expr":{"type":"numeric_atoms","value":4686,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1808,"base":12},"right_expr":{"type":"numeric_atoms","value":4246,"base":12}}},"used_operators":["Nsiff2A1zJ","rysDP5nf3Z","LRNGc0VcxI"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5188","layer":2},{"info":"number node, value=4686","layer":2},{"info":"compute binary expreesion, left_input=5188, right_input=4686, op_id = rysDP5nf3Z binary_op_definition= 'None', output=502","layer":1},{"info":"number node, value=1808","layer":2},{"info":"number node, value=4246","layer":2},{"info":"compute binary expreesion, left_input=1808, right_input=4246, 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=502, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3004-⫖↰⪸2866)⊴(⫖↰⪸1068∀⇚≩⫖↰⪸255A)=NaN","reverse_text":"NaN=(⫖↰⪸3004-⫖↰⪸2866)⊴(⫖↰⪸1068∀⇚≩⫖↰⪸255A)","cot":[{"info":"⫖↰⪸3004-⫖↰⪸2866=⫖↰⪸35A","layer":1},{"info":"⫖↰⪸1068∀⇚≩⫖↰⪸255A=NaN","layer":1},{"info":"⫖↰⪸35A⊴NaN=NaN","layer":0}]}
+{"id":892,"expression_no_base_symbol":"≉($4065$⇼⇔∾$1850$)","expression":"≉(⫖↰⪸2429⇼⇔∾⫖↰⪸10A2)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4065,"base":12},"right_expr":{"type":"numeric_atoms","value":1850,"base":12}}},"used_operators":["e1ybzncUwg","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-1347","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4065","layer":2},{"info":"number node, value=1850","layer":2},{"info":"compute binary expreesion, left_input=4065, right_input=1850, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2215","layer":1},{"info":"compute unary expreesion, input=-2215, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-2215","layer":0}],"base":12,"result_base":12,"text":"≉(⫖↰⪸2429⇼⇔∾⫖↰⪸10A2)=⫖↰⪸-1347","reverse_text":"⫖↰⪸-1347=≉(⫖↰⪸2429⇼⇔∾⫖↰⪸10A2)","cot":[{"info":"⫖↰⪸2429⇼⇔∾⫖↰⪸10A2=⫖↰⪸-1347","layer":1},{"info":"≉⫖↰⪸-1347=⫖↰⪸-1347","layer":0}]}
+{"id":893,"expression_no_base_symbol":"($2357$⊘)⫡⨏$4498$∲⫓$6168$","expression":"(⫖↰⪸1445⊘)⫡⨏⫖↰⪸272A∲⫓⫖↰⪸36A0","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2357,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4498,"base":12},"right_expr":{"type":"numeric_atoms","value":6168,"base":12}}},"used_operators":["QMFrweE19q","gu96TGCTMs","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸553","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2357","layer":2},{"info":"compute unary expreesion, input=2357, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"number node, value=4498","layer":2},{"info":"number node, value=6168","layer":2},{"info":"compute binary expreesion, left_input=4498, right_input=6168, 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=0, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=783","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1445⊘)⫡⨏⫖↰⪸272A∲⫓⫖↰⪸36A0=⫖↰⪸553","reverse_text":"⫖↰⪸553=(⫖↰⪸1445⊘)⫡⨏⫖↰⪸272A∲⫓⫖↰⪸36A0","cot":[{"info":"⫖↰⪸1445⊘=⫖↰⪸0","layer":1},{"info":"⫖↰⪸272A∲⫓⫖↰⪸36A0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⫡⨏⫖↰⪸0=⫖↰⪸553","layer":0}]}
+{"id":894,"expression_no_base_symbol":"($1350$≫≃)⫡⨏(⊄⩳↩$3461$)","expression":"(⫖↰⪸946≫≃)⫡⨏(⊄⩳↩⫖↰⪸2005)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17,"operation_count":3,"complexity_ratio":5.666666666666667,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1350,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3461,"base":12}}},"used_operators":["QMFrweE19q","X99M06cbEe","8w2t5hMYqp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖��⪸376","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1350","layer":2},{"info":"compute unary expreesion, input=1350, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4101","layer":1},{"info":"number node, value=3461","layer":2},{"info":"compute unary expreesion, input=3461, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10383","layer":1},{"info":"compute binary expreesion, left_input=4101, right_input=-10383, 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=522","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸946≫≃)⫡⨏(⊄⩳↩⫖↰⪸2005)=⫖↰⪸376","reverse_text":"⫖↰⪸376=(⫖↰⪸946≫≃)⫡⨏(⊄⩳↩⫖↰⪸2005)","cot":[{"info":"⫖↰⪸946≫≃=⫖↰⪸2459","layer":1},{"info":"⊄⩳↩⫖↰⪸2005=⫖↰⪸-6013","layer":1},{"info":"⫖↰⪸2459⫡⨏⫖↰⪸-6013=⫖↰⪸376","layer":0}]}
+{"id":895,"expression_no_base_symbol":"⋗⩬⋾$3552$∑⇟⊟$3935$","expression":"⋗⩬⋾⫖↰⪸2080∑⇟⊟⫖↰⪸233B","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3552,"base":12},"right_expr":{"type":"numeric_atoms","value":3935,"base":12}}},"used_operators":["DpFCA1CohY","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3552","layer":2},{"info":"number node, value=3935","layer":2},{"info":"compute binary expreesion, left_input=3552, right_input=3935, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⋗⩬⋾⫖↰⪸2080∑⇟⊟⫖↰⪸233B=NaN","reverse_text":"NaN=⋗⩬⋾⫖↰⪸2080∑⇟⊟⫖↰⪸233B","cot":[{"info":"⫖↰⪸2080∑⇟⊟⫖↰⪸233B=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
+{"id":896,"expression_no_base_symbol":"(⊥$4812$)⨽$3419$⪮%⊝$2369$","expression":"(⊥⫖↰⪸2950)⨽⫖↰⪸1B8B⪮%⊝⫖↰⪸1455","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4812,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3419,"base":12},"right_expr":{"type":"numeric_atoms","value":2369,"base":12}}},"used_operators":["8HhzD0ZcuI","Q3PJZHRvZv","IWmyXbctLI"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","fu6greOZ01","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4812","layer":2},{"info":"compute unary expreesion, input=4812, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=3419","layer":2},{"info":"number node, value=2369","layer":2},{"info":"compute binary expreesion, left_input=3419, right_input=2369, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7154","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7154, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊥⫖↰⪸2950)⨽⫖↰⪸1B8B⪮%⊝⫖↰⪸1455=NaN","reverse_text":"NaN=(⊥⫖↰⪸2950)⨽⫖↰⪸1B8B⪮%⊝⫖↰⪸1455","cot":[{"info":"⊥⫖↰⪸2950=NaN","layer":1},{"info":"⫖↰⪸1B8B⪮%⊝⫖↰⪸1455=⫖↰⪸4182","layer":1},{"info":"NaN⨽⫖↰⪸4182=NaN","layer":0}]}
+{"id":897,"expression_no_base_symbol":"(∥⊫$5416$)⪢($1333$∼$3833$)","expression":"(∥⊫⫖↰⪸3174)⪢(⫖↰⪸931∼⫖↰⪸2275)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33,"operation_count":3,"complexity_ratio":11.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5416,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1333,"base":12},"right_expr":{"type":"numeric_atoms","value":3833,"base":12}}},"used_operators":["dWAJyo7jo9","P8v4zCKN1o","DyGG3AbaNP"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5416","layer":2},{"info":"compute unary expreesion, input=5416, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6284","layer":1},{"info":"number node, value=1333","layer":2},{"info":"number node, value=3833","layer":2},{"info":"compute binary expreesion, left_input=1333, right_input=3833, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6284, 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":0}],"base":12,"result_base":12,"text":"(∥⊫⫖↰⪸3174)⪢(⫖↰⪸931∼⫖↰⪸2275)=NaN","reverse_text":"NaN=(∥⊫⫖↰⪸3174)⪢(⫖↰⪸931∼⫖↰⪸2275)","cot":[{"info":"∥⊫⫖↰⪸3174=⫖↰⪸3778","layer":1},{"info":"⫖↰⪸931∼⫖↰⪸2275=NaN","layer":1},{"info":"⫖↰⪸3778⪢NaN=NaN","layer":0}]}
+{"id":898,"expression_no_base_symbol":"($2103$%$6500$)↬($3231$⊠≄⫣)","expression":"(⫖↰⪸1273%⫖↰⪸3918)↬(⫖↰⪸1A53⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2103,"base":12},"right_expr":{"type":"numeric_atoms","value":6500,"base":12}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3231,"base":12}}},"used_operators":["B5M0gjZbta","k8jYdgA6NY","DIvbN7qnHd"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2103","layer":2},{"info":"number node, value=6500","layer":2},{"info":"compute binary expreesion, left_input=2103, right_input=6500, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2103","layer":1},{"info":"number node, value=3231","layer":2},{"info":"compute unary expreesion, input=3231, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=2103, 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":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1273%⫖↰⪸3918)↬(⫖↰⪸1A53⊠≄⫣)=NaN","reverse_text":"NaN=(⫖↰⪸1273%⫖↰⪸3918)↬(⫖↰⪸1A53⊠≄⫣)","cot":[{"info":"⫖↰⪸1273%⫖↰⪸3918=⫖↰⪸1273","layer":1},{"info":"⫖↰⪸1A53⊠≄⫣=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1273↬⫖↰⪸0=NaN","layer":0}]}
+{"id":899,"expression_no_base_symbol":"($1324$⪒$6668$)≫≃","expression":"(⫖↰⪸924⪒⫖↰⪸3A38)≫≃","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1324,"base":12},"right_expr":{"type":"numeric_atoms","value":6668,"base":12}}},"used_operators":["X99M06cbEe","f6k1SAg4EE"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-8533","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1324","layer":2},{"info":"number node, value=6668","layer":2},{"info":"compute binary expreesion, left_input=1324, right_input=6668, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7992","layer":1},{"info":"compute unary expreesion, input=-7992, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-14583","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸924⪒⫖↰⪸3A38)≫≃=⫖↰⪸-8533","reverse_text":"⫖↰⪸-8533=(⫖↰⪸924⪒⫖↰⪸3A38)≫≃","cot":[{"info":"⫖↰⪸924⪒⫖↰⪸3A38=⫖↰⪸-4760","layer":1},{"info":"⫖↰⪸-4760≫≃=⫖↰⪸-8533","layer":0}]}
+{"id":900,"expression_no_base_symbol":"↽≂($1606$⫌⩹⨱)","expression":"↽≂(⫖↰⪸B1A⫌⩹⨱)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1606,"base":12}}},"used_operators":["u6S6b8DprG","EBcxylXtPf"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸-540A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1606","layer":2},{"info":"compute unary expreesion, input=1606, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4613","layer":1},{"info":"compute unary expreesion, input=4613, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9226","layer":0}],"base":12,"result_base":12,"text":"↽≂(⫖↰⪸B1A⫌⩹⨱)=⫖↰⪸-540A","reverse_text":"⫖↰⪸-540A=↽≂(⫖↰⪸B1A⫌⩹⨱)","cot":[{"info":"⫖↰⪸B1A⫌⩹⨱=⫖↰⪸2805","layer":1},{"info":"↽≂⫖↰⪸2805=⫖↰⪸-540A","layer":0}]}
+{"id":901,"expression_no_base_symbol":"↯⪼($5464$⫡⨏$8287$)","expression":"↯⪼(⫖↰⪸31B4⫡⨏⫖↰⪸4967)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":38,"operation_count":2,"complexity_ratio":19.0,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5464,"base":12},"right_expr":{"type":"numeric_atoms","value":8287,"base":12}}},"used_operators":["8jW3W4yZS5","QMFrweE19q"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5464","layer":2},{"info":"number node, value=8287","layer":2},{"info":"compute binary expreesion, left_input=5464, right_input=8287, 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=44677","layer":1},{"info":"compute unary expreesion, input=44677, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":12,"result_base":12,"text":"↯⪼(⫖↰⪸31B4⫡⨏⫖↰⪸4967)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=↯⪼(⫖↰⪸31B4⫡⨏⫖↰⪸4967)","cot":[{"info":"⫖↰⪸31B4⫡⨏⫖↰⪸4967=⫖↰⪸21A31","layer":1},{"info":"↯⪼⫖↰⪸21A31=⫖↰⪸-19","layer":0}]}
+{"id":902,"expression_no_base_symbol":"$4011$↺$5559$⋷$2165$⨐⩸⫘$1798$","expression":"⫖↰⪸23A3↺⫖↰⪸3273⋷⫖↰⪸1305⨐⩸⫘⫖↰⪸105A","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4011,"base":12},"right_expr":{"type":"numeric_atoms","value":5559,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2165,"base":12},"right_expr":{"type":"numeric_atoms","value":1798,"base":12}}},"used_operators":["23Mk6UjR3U","7j4O788W3g","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4011","layer":2},{"info":"number node, value=5559","layer":2},{"info":"compute binary expreesion, left_input=4011, right_input=5559, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5559","layer":1},{"info":"number node, value=2165","layer":2},{"info":"number node, value=1798","layer":2},{"info":"compute binary expreesion, left_input=2165, right_input=1798, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5559, 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":12,"result_base":12,"text":"⫖↰⪸23A3↺⫖↰⪸3273⋷⫖↰⪸1305⨐⩸⫘⫖↰⪸105A=NaN","reverse_text":"NaN=⫖↰⪸23A3↺⫖↰⪸3273⋷⫖↰⪸1305⨐⩸⫘⫖↰⪸105A","cot":[{"info":"⫖↰⪸23A3↺⫖↰⪸3273=⫖↰⪸3273","layer":1},{"info":"⫖↰⪸1305⨐⩸⫘⫖↰⪸105A=NaN","layer":1},{"info":"⫖↰⪸3273⋷NaN=NaN","layer":0}]}
+{"id":903,"expression_no_base_symbol":"($1176$⫥∨⫟$2257$)∀⇚≩(↩$3499$)","expression":"(⫖↰⪸820⫥∨⫟⫖↰⪸1381)∀⇚≩(↩⫖↰⪸2037)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":171,"operation_count":3,"complexity_ratio":57.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1176,"base":12},"right_expr":{"type":"numeric_atoms","value":2257,"base":12}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3499,"base":12}}},"used_operators":["LRNGc0VcxI","KYD54nUTWz","jLgFTUHLKL"],"dependent_operators":["X99M06cbEe","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1176","layer":2},{"info":"number node, value=2257","layer":2},{"info":"compute binary expreesion, left_input=1176, right_input=2257, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3499","layer":2},{"info":"compute unary expreesion, input=3499, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-25212","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-25212, 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":12,"result_base":12,"text":"(⫖↰⪸820⫥∨⫟⫖↰⪸1381)∀⇚≩(↩⫖↰⪸2037)=NaN","reverse_text":"NaN=(⫖↰⪸820⫥∨⫟⫖↰⪸1381)∀⇚≩(↩⫖↰⪸2037)","cot":[{"info":"⫖↰⪸820⫥∨⫟⫖↰⪸1381=NaN","layer":1},{"info":"↩⫖↰⪸2037=⫖↰⪸-12710","layer":1},{"info":"NaN∀⇚≩⫖↰⪸-12710=NaN","layer":0}]}
+{"id":904,"expression_no_base_symbol":"(⨈⫕$1133$)⨳⩥⨓($2026$⫸⊐$3249$)","expression":"(⨈⫕⫖↰⪸7A5)⨳⩥⨓(⫖↰⪸120A⫸⊐⫖↰⪸1A69)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":413,"operation_count":3,"complexity_ratio":137.66666666666666,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1133,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2026,"base":12},"right_expr":{"type":"numeric_atoms","value":3249,"base":12}}},"used_operators":["nCS4ZIUYfx","megm06wKyl","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸7564","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1133","layer":2},{"info":"compute unary expreesion, input=1133, 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=2026","layer":2},{"info":"number node, value=3249","layer":2},{"info":"compute binary expreesion, left_input=2026, right_input=3249, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12871","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=12871, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=12892","layer":0}],"base":12,"result_base":12,"text":"(⨈⫕⫖↰⪸7A5)⨳⩥⨓(⫖↰⪸120A⫸⊐⫖↰⪸1A69)=⫖↰⪸7564","reverse_text":"⫖↰⪸7564=(⨈⫕⫖↰⪸7A5)⨳⩥⨓(⫖↰⪸120A⫸⊐⫖↰⪸1A69)","cot":[{"info":"⨈⫕⫖↰⪸7A5=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸120A⫸⊐⫖↰⪸1A69=⫖↰⪸7547","layer":1},{"info":"⫖↰⪸-19⨳⩥⨓⫖↰⪸7547=⫖↰⪸7564","layer":0}]}
+{"id":905,"expression_no_base_symbol":"($1677$≧⫂∧$1873$)⨟⋌⩍($4819$⇷$6960$)","expression":"(⫖↰⪸B79≧⫂∧⫖↰⪸1101)⨟⋌⩍(⫖↰⪸2957⇷⫖↰⪸4040)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":67474,"operation_count":3,"complexity_ratio":22491.333333333332,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1677,"base":12},"right_expr":{"type":"numeric_atoms","value":1873,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4819,"base":12},"right_expr":{"type":"numeric_atoms","value":6960,"base":12}}},"used_operators":["rGHVDoGpnC","Ph9nP6C5qx","mp7IySMOzn"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1677","layer":2},{"info":"number node, value=1873","layer":2},{"info":"compute binary expreesion, left_input=1677, right_input=1873, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1400","layer":1},{"info":"number node, value=4819","layer":2},{"info":"number node, value=6960","layer":2},{"info":"compute binary expreesion, left_input=4819, right_input=6960, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13920","layer":1},{"info":"compute binary expreesion, left_input=1400, right_input=13920, 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":12,"result_base":12,"text":"(⫖↰⪸B79≧⫂∧⫖↰⪸1101)⨟⋌⩍(⫖↰⪸2957⇷⫖↰⪸4040)=NaN","reverse_text":"NaN=(⫖↰⪸B79≧⫂∧⫖↰⪸1101)⨟⋌⩍(⫖↰⪸2957⇷⫖↰⪸4040)","cot":[{"info":"⫖↰⪸B79≧⫂∧⫖↰⪸1101=⫖↰⪸988","layer":1},{"info":"⫖↰⪸2957⇷⫖↰⪸4040=⫖↰⪸8080","layer":1},{"info":"⫖↰⪸988⨟⋌⩍⫖↰⪸8080=NaN","layer":0}]}
+{"id":906,"expression_no_base_symbol":"($1501$⩠)⨰$1436$⇷$2802$","expression":"(⫖↰⪸A51⩠)⨰⫖↰⪸9B8⇷⫖↰⪸1756","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20134,"operation_count":3,"complexity_ratio":6711.333333333333,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1501,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1436,"base":12},"right_expr":{"type":"numeric_atoms","value":2802,"base":12}}},"used_operators":["eewbuw0ToL","sJAwomhLZr","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸-32A2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1501","layer":2},{"info":"compute unary expreesion, input=1501, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"number node, value=1436","layer":2},{"info":"number node, value=2802","layer":2},{"info":"compute binary expreesion, left_input=1436, right_input=2802, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5604","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=5604, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5594","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A51⩠)⨰⫖↰⪸9B8⇷⫖↰⪸1756=⫖↰⪸-32A2","reverse_text":"⫖↰⪸-32A2=(⫖↰⪸A51⩠)⨰⫖↰⪸9B8⇷⫖↰⪸1756","cot":[{"info":"⫖↰⪸A51⩠=⫖↰⪸0","layer":1},{"info":"⫖↰⪸9B8⇷⫖↰⪸1756=⫖↰⪸32B0","layer":1},{"info":"⫖↰⪸0⨰⫖↰⪸32B0=⫖↰⪸-32A2","layer":0}]}
+{"id":907,"expression_no_base_symbol":"$1945$⊴$4983$⨽(⨑⩽⪐$5587$)","expression":"⫖↰⪸1161⊴⫖↰⪸2A73⨽(⨑⩽⪐⫖↰⪸3297)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5003,"operation_count":3,"complexity_ratio":1667.6666666666667,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1945,"base":12},"right_expr":{"type":"numeric_atoms","value":4983,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5587,"base":12}}},"used_operators":["8HhzD0ZcuI","Nsiff2A1zJ","AF7qkfDlqP"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1945","layer":2},{"info":"number node, value=4983","layer":2},{"info":"compute binary expreesion, left_input=1945, right_input=4983, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=5587","layer":2},{"info":"compute unary expreesion, input=5587, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5314","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5314, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1161⊴⫖↰⪸2A73⨽(⨑⩽⪐⫖↰⪸3297)=NaN","reverse_text":"NaN=⫖↰⪸1161⊴⫖↰⪸2A73⨽(⨑⩽⪐⫖↰⪸3297)","cot":[{"info":"⫖↰⪸1161⊴⫖↰⪸2A73=NaN","layer":1},{"info":"⨑⩽⪐⫖↰⪸3297=⫖↰⪸-30AA","layer":1},{"info":"NaN⨽⫖↰⪸-30AA=NaN","layer":0}]}
+{"id":908,"expression_no_base_symbol":"($1875$⨸⪁$5140$)∑⇟⊟($2947$⨸⪁$3863$)","expression":"(⫖↰⪸1103⨸⪁⫖↰⪸2B84)∑⇟⊟(⫖↰⪸1857⨸⪁⫖↰⪸229B)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1875,"base":12},"right_expr":{"type":"numeric_atoms","value":5140,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2947,"base":12},"right_expr":{"type":"numeric_atoms","value":3863,"base":12}}},"used_operators":["U7g4x0WXJJ","g55IO6H4Gj"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1875","layer":2},{"info":"number node, value=5140","layer":2},{"info":"compute binary expreesion, left_input=1875, right_input=5140, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14030","layer":1},{"info":"number node, value=2947","layer":2},{"info":"number node, value=3863","layer":2},{"info":"compute binary expreesion, left_input=2947, right_input=3863, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13620","layer":1},{"info":"compute binary expreesion, left_input=14030, right_input=13620, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1103⨸⪁⫖↰⪸2B84)∑⇟⊟(⫖↰⪸1857⨸⪁⫖↰⪸229B)=NaN","reverse_text":"NaN=(⫖↰⪸1103⨸⪁⫖↰⪸2B84)∑⇟⊟(⫖↰⪸1857⨸⪁⫖↰⪸229B)","cot":[{"info":"⫖↰⪸1103⨸⪁⫖↰⪸2B84=⫖↰⪸8152","layer":1},{"info":"⫖↰⪸1857⨸⪁⫖↰⪸229B=⫖↰⪸7A70","layer":1},{"info":"⫖↰⪸8152∑⇟⊟⫖↰⪸7A70=NaN","layer":0}]}
+{"id":909,"expression_no_base_symbol":"($1263$↺$3133$)⪮%⊝(+⊝⨔$3587$)","expression":"(⫖↰⪸893↺⫖↰⪸1991)⪮%⊝(+⊝⨔⫖↰⪸20AB)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":51,"operation_count":3,"complexity_ratio":17.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1263,"base":12},"right_expr":{"type":"numeric_atoms","value":3133,"base":12}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3587,"base":12}}},"used_operators":["IWmyXbctLI","7j4O788W3g","DhbWaqg5eL"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫖↰⪸3986","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1263","layer":2},{"info":"number node, value=3133","layer":2},{"info":"compute binary expreesion, left_input=1263, right_input=3133, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3133","layer":1},{"info":"number node, value=3587","layer":2},{"info":"compute unary expreesion, input=3587, 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=3133, right_input=1522, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6582","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸893↺⫖↰⪸1991)⪮%⊝(+⊝⨔⫖↰⪸20AB)=⫖↰⪸3986","reverse_text":"⫖↰⪸3986=(⫖↰⪸893↺⫖↰⪸1991)⪮%⊝(+⊝⨔⫖↰⪸20AB)","cot":[{"info":"⫖↰⪸893↺⫖↰⪸1991=⫖↰⪸1991","layer":1},{"info":"+⊝⨔⫖↰⪸20AB=⫖↰⪸A6A","layer":1},{"info":"⫖↰⪸1991⪮%⊝⫖↰⪸A6A=⫖↰⪸3986","layer":0}]}
+{"id":910,"expression_no_base_symbol":"(⋗⩬⋾$1590$)/(⩦⩻⨪$2031$)","expression":"(⋗⩬⋾⫖↰⪸B06)/(⩦⩻⨪⫖↰⪸1213)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1590,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2031,"base":12}}},"used_operators":["XhwjNDsVaA","DpFCA1CohY","2td37pGCOC"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-3","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1590","layer":2},{"info":"compute unary expreesion, input=1590, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4770","layer":1},{"info":"number node, value=2031","layer":2},{"info":"compute unary expreesion, input=2031, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2031","layer":1},{"info":"compute binary expreesion, left_input=-4770, right_input=2031, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-3","layer":0}],"base":12,"result_base":12,"text":"(⋗⩬⋾⫖↰⪸B06)/(⩦⩻⨪⫖↰⪸1213)=⫖↰⪸-3","reverse_text":"⫖↰⪸-3=(⋗⩬⋾⫖↰⪸B06)/(⩦⩻⨪⫖↰⪸1213)","cot":[{"info":"⋗⩬⋾⫖↰⪸B06=⫖↰⪸-2916","layer":1},{"info":"⩦⩻⨪⫖↰⪸1213=⫖↰⪸1213","layer":1},{"info":"⫖↰⪸-2916/⫖↰⪸1213=⫖↰⪸-3","layer":0}]}
+{"id":911,"expression_no_base_symbol":"(⪝⪂⫅$3942$)≦≮≮","expression":"(⪝⪂⫅⫖↰⪸2346)≦≮≮","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":153,"operation_count":2,"complexity_ratio":76.5,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3942,"base":12}}},"used_operators":["D4vGDi5EA2","XTarYq4gQB"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫖↰⪸6BA046","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3942","layer":2},{"info":"compute unary expreesion, input=3942, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-579474","layer":1},{"info":"compute unary expreesion, input=-579474, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=1738422","layer":0}],"base":12,"result_base":12,"text":"(⪝⪂⫅⫖↰⪸2346)≦≮≮=⫖↰⪸6BA046","reverse_text":"⫖↰⪸6BA046=(⪝⪂⫅⫖↰⪸2346)≦≮≮","cot":[{"info":"⪝⪂⫅⫖↰⪸2346=⫖↰⪸-23B416","layer":1},{"info":"⫖↰⪸-23B416≦≮≮=⫖↰⪸6BA046","layer":0}]}
+{"id":912,"expression_no_base_symbol":"($1629$+$3279$)↬($1867$≎⊠⪸$4364$)","expression":"(⫖↰⪸B39+⫖↰⪸1A93)↬(⫖↰⪸10B7≎⊠⪸⫖↰⪸2638)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":272,"operation_count":3,"complexity_ratio":90.66666666666667,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1629,"base":12},"right_expr":{"type":"numeric_atoms","value":3279,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1867,"base":12},"right_expr":{"type":"numeric_atoms","value":4364,"base":12}}},"used_operators":["B5M0gjZbta","W4YGzv6Whe","bJkvcejdHO"],"dependent_operators":["rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1629","layer":2},{"info":"number node, value=3279","layer":2},{"info":"compute binary expreesion, left_input=1629, right_input=3279, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4908","layer":1},{"info":"number node, value=1867","layer":2},{"info":"number node, value=4364","layer":2},{"info":"compute binary expreesion, left_input=1867, right_input=4364, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=483080","layer":1},{"info":"compute binary expreesion, left_input=4908, right_input=483080, 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":12,"result_base":12,"text":"(⫖↰⪸B39+⫖↰⪸1A93)↬(⫖↰⪸10B7≎⊠⪸⫖↰⪸2638)=NaN","reverse_text":"NaN=(⫖↰⪸B39+⫖↰⪸1A93)↬(⫖↰⪸10B7≎⊠⪸⫖↰⪸2638)","cot":[{"info":"⫖↰⪸B39+⫖↰⪸1A93=⫖↰⪸2A10","layer":1},{"info":"⫖↰⪸10B7≎⊠⪸⫖↰⪸2638=⫖↰⪸1B3688","layer":1},{"info":"⫖↰⪸2A10↬⫖↰⪸1B3688=NaN","layer":0}]}
+{"id":913,"expression_no_base_symbol":"($3619$⪒$1033$)⪢($1528$⫸⊐$5292$)","expression":"(⫖↰⪸2117⪒⫖↰⪸721)⪢(⫖↰⪸A74⫸⊐⫖↰⪸3090)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22423,"operation_count":3,"complexity_ratio":7474.333333333333,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3619,"base":12},"right_expr":{"type":"numeric_atoms","value":1033,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1528,"base":12},"right_expr":{"type":"numeric_atoms","value":5292,"base":12}}},"used_operators":["dWAJyo7jo9","f6k1SAg4EE","mqXw5SEYmG"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3619","layer":2},{"info":"number node, value=1033","layer":2},{"info":"compute binary expreesion, left_input=3619, right_input=1033, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4652","layer":1},{"info":"number node, value=1528","layer":2},{"info":"number node, value=5292","layer":2},{"info":"compute binary expreesion, left_input=1528, right_input=5292, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=21043","layer":1},{"info":"compute binary expreesion, left_input=-4652, right_input=21043, 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":12,"result_base":12,"text":"(⫖↰⪸2117⪒⫖↰⪸721)⪢(⫖↰⪸A74⫸⊐⫖↰⪸3090)=NaN","reverse_text":"NaN=(⫖↰⪸2117⪒⫖↰⪸721)⪢(⫖↰⪸A74⫸⊐⫖↰⪸3090)","cot":[{"info":"⫖↰⪸2117⪒⫖↰⪸721=⫖↰⪸-2838","layer":1},{"info":"⫖↰⪸A74⫸⊐⫖↰⪸3090=⫖↰⪸10217","layer":1},{"info":"⫖↰⪸-2838⪢⫖↰⪸10217=NaN","layer":0}]}
+{"id":914,"expression_no_base_symbol":"$1107$⨓$3500$⨳⩥⨓($1023$⪒$2677$)","expression":"⫖↰⪸783⨓⫖↰⪸2038⨳⩥⨓(⫖↰⪸713⪒⫖↰⪸1671)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3512,"operation_count":3,"complexity_ratio":1170.6666666666667,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1107,"base":12},"right_expr":{"type":"numeric_atoms","value":3500,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1023,"base":12},"right_expr":{"type":"numeric_atoms","value":2677,"base":12}}},"used_operators":["nCS4ZIUYfx","3ViojmjbAp","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-145","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1107","layer":2},{"info":"number node, value=3500","layer":2},{"info":"compute binary expreesion, left_input=1107, right_input=3500, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3503","layer":1},{"info":"number node, value=1023","layer":2},{"info":"number node, value=2677","layer":2},{"info":"compute binary expreesion, left_input=1023, right_input=2677, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3700","layer":1},{"info":"compute binary expreesion, left_input=-3503, right_input=-3700, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-197","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸783⨓⫖↰⪸2038⨳⩥⨓(⫖↰⪸713⪒⫖↰⪸1671)=⫖↰⪸-145","reverse_text":"⫖↰⪸-145=⫖↰⪸783⨓⫖↰⪸2038⨳⩥⨓(⫖↰⪸713⪒⫖↰⪸1671)","cot":[{"info":"⫖↰⪸783⨓⫖↰⪸2038=⫖↰⪸-203B","layer":1},{"info":"⫖↰⪸713⪒⫖↰⪸1671=⫖↰⪸-2184","layer":1},{"info":"⫖↰⪸-203B⨳⩥⨓⫖↰⪸-2184=⫖↰⪸-145","layer":0}]}
+{"id":915,"expression_no_base_symbol":"(⫓⪴$1382$)⪄($8362$⨁⊸⫻)","expression":"(⫓⪴⫖↰⪸972)⪄(⫖↰⪸4A0A⨁⊸⫻)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1478,"operation_count":3,"complexity_ratio":492.6666666666667,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1382,"base":12}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":8362,"base":12}}},"used_operators":["SUmda5xLS4","eLxqMNBOBk","glklzrTFfD"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸-7A812669","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1382","layer":2},{"info":"compute unary expreesion, input=1382, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1909924","layer":1},{"info":"number node, value=8362","layer":2},{"info":"compute unary expreesion, input=8362, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=8362","layer":1},{"info":"compute binary expreesion, left_input=1909924, right_input=8362, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-282698289","layer":0}],"base":12,"result_base":12,"text":"(⫓⪴⫖↰⪸972)⪄(⫖��⪸4A0A⨁⊸⫻)=⫖↰⪸-7A812669","reverse_text":"⫖↰⪸-7A812669=(⫓⪴⫖↰⪸972)⪄(⫖↰⪸4A0A⨁⊸⫻)","cot":[{"info":"⫓⪴⫖↰⪸972=⫖↰⪸781344","layer":1},{"info":"⫖↰⪸4A0A⨁⊸⫻=⫖↰⪸4A0A","layer":1},{"info":"⫖↰⪸781344⪄⫖↰⪸4A0A=⫖↰⪸-7A812669","layer":0}]}
+{"id":916,"expression_no_base_symbol":"($1541$↬$1563$)⇷($2179$⪄$1235$)","expression":"(⫖↰⪸A85↬⫖↰⪸AA3)⇷(⫖↰⪸1317⪄⫖↰⪸86B)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":105,"operation_count":3,"complexity_ratio":35.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1541,"base":12},"right_expr":{"type":"numeric_atoms","value":1563,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2179,"base":12},"right_expr":{"type":"numeric_atoms","value":1235,"base":12}}},"used_operators":["mp7IySMOzn","B5M0gjZbta","SUmda5xLS4"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1541","layer":2},{"info":"number node, value=1563","layer":2},{"info":"compute binary expreesion, left_input=1541, right_input=1563, 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=2179","layer":2},{"info":"number node, value=1235","layer":2},{"info":"compute binary expreesion, left_input=2179, right_input=1235, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-323521","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-323521, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A85↬⫖↰⪸AA3)⇷(⫖↰⪸1317⪄⫖↰⪸86B)=NaN","reverse_text":"NaN=(⫖↰⪸A85↬⫖↰⪸AA3)⇷(⫖↰⪸1317⪄⫖↰⪸86B)","cot":[{"info":"⫖↰⪸A85↬⫖↰⪸AA3=NaN","layer":1},{"info":"⫖↰⪸1317⪄⫖↰⪸86B=⫖↰⪸-137281","layer":1},{"info":"NaN⇷⫖↰⪸-137281=NaN","layer":0}]}
+{"id":917,"expression_no_base_symbol":"$1355$⇷$1646$∑⇟⊟($1388$⫸⊐$2924$)","expression":"⫖↰⪸94B⇷⫖↰⪸B52∑⇟⊟(⫖↰⪸978⫸⊐⫖↰⪸1838)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19001,"operation_count":3,"complexity_ratio":6333.666666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1355,"base":12},"right_expr":{"type":"numeric_atoms","value":1646,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1388,"base":12},"right_expr":{"type":"numeric_atoms","value":2924,"base":12}}},"used_operators":["U7g4x0WXJJ","mp7IySMOzn","mqXw5SEYmG"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1355","layer":2},{"info":"number node, value=1646","layer":2},{"info":"compute binary expreesion, left_input=1355, right_input=1646, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3292","layer":1},{"info":"number node, value=1388","layer":2},{"info":"number node, value=2924","layer":2},{"info":"compute binary expreesion, left_input=1388, right_input=2924, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11571","layer":1},{"info":"compute binary expreesion, left_input=3292, right_input=11571, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸94B⇷⫖↰⪸B52∑⇟⊟(⫖↰⪸978⫸⊐⫖↰⪸1838)=NaN","reverse_text":"NaN=⫖↰⪸94B⇷⫖↰⪸B52∑⇟⊟(⫖↰⪸978⫸⊐⫖↰⪸1838)","cot":[{"info":"⫖↰⪸94B⇷⫖↰⪸B52=⫖↰⪸1AA4","layer":1},{"info":"⫖↰⪸978⫸⊐⫖↰⪸1838=⫖↰⪸6843","layer":1},{"info":"⫖↰⪸1AA4∑⇟⊟⫖↰⪸6843=NaN","layer":0}]}
+{"id":918,"expression_no_base_symbol":"(⇁⨣⪵$3540$)-$2295$⋳⪒$1513$","expression":"(⇁⨣⪵⫖↰⪸2070)-⫖↰⪸13B3⋳⪒⫖↰⪸A61","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3540,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2295,"base":12},"right_expr":{"type":"numeric_atoms","value":1513,"base":12}}},"used_operators":["rysDP5nf3Z","inkyxCbjAn","12rbrZMWeM"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3540","layer":2},{"info":"compute unary expreesion, input=3540, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=2295","layer":2},{"info":"number node, value=1513","layer":2},{"info":"compute binary expreesion, left_input=2295, right_input=1513, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2790","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2790, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇁⨣⪵⫖↰⪸2070)-⫖↰⪸13B3⋳⪒⫖↰⪸A61=NaN","reverse_text":"NaN=(⇁⨣⪵⫖↰⪸2070)-⫖↰⪸13B3⋳⪒⫖↰⪸A61","cot":[{"info":"⇁⨣⪵⫖↰⪸2070=NaN","layer":1},{"info":"⫖↰⪸13B3⋳⪒⫖↰⪸A61=⫖↰⪸1746","layer":1},{"info":"NaN-⫖↰⪸1746=NaN","layer":0}]}
+{"id":919,"expression_no_base_symbol":"⊥($4388$↺$3516$)","expression":"⊥(⫖↰⪸2658↺⫖↰⪸2050)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4388,"base":12},"right_expr":{"type":"numeric_atoms","value":3516,"base":12}}},"used_operators":["Q3PJZHRvZv","7j4O788W3g"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4388","layer":2},{"info":"number node, value=3516","layer":2},{"info":"compute binary expreesion, left_input=4388, right_input=3516, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3516","layer":1},{"info":"compute unary expreesion, input=3516, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊥(⫖↰⪸2658↺⫖↰⪸2050)=NaN","reverse_text":"NaN=⊥(⫖↰⪸2658↺⫖↰⪸2050)","cot":[{"info":"⫖↰⪸2658↺⫖↰⪸2050=⫖↰⪸2050","layer":1},{"info":"⊥⫖↰⪸2050=NaN","layer":0}]}
+{"id":920,"expression_no_base_symbol":"$1770$∑⇟⊟$2062$≭($2584$+⇶⊼$2990$)","expression":"⫖↰⪸1036∑⇟⊟⫖↰⪸123A≭(⫖↰⪸15B4+⇶⊼⫖↰⪸1892)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1770,"base":12},"right_expr":{"type":"numeric_atoms","value":2062,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2584,"base":12},"right_expr":{"type":"numeric_atoms","value":2990,"base":12}}},"used_operators":["rxpJgHHUmx","U7g4x0WXJJ","TpPTUOHfaN"],"dependent_operators":["AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1770","layer":2},{"info":"number node, value=2062","layer":2},{"info":"compute binary expreesion, left_input=1770, right_input=2062, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2584","layer":2},{"info":"number node, value=2990","layer":2},{"info":"compute binary expreesion, left_input=2584, right_input=2990, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":12,"result_base":12,"text":"⫖↰⪸1036∑⇟⊟⫖↰⪸123A≭(⫖↰⪸15B4+⇶⊼⫖↰⪸1892)=NaN","reverse_text":"NaN=⫖↰⪸1036∑⇟⊟⫖↰⪸123A≭(⫖↰⪸15B4+⇶⊼⫖↰⪸1892)","cot":[{"info":"⫖↰⪸1036∑⇟⊟⫖↰⪸123A=NaN","layer":1},{"info":"⫖↰⪸15B4+⇶⊼⫖↰⪸1892=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
+{"id":921,"expression_no_base_symbol":"$2698$⋝⋈⪟$1020$≧⫂∧($1469$⊠≄⫣)","expression":"⫖↰⪸168A⋝⋈⪟⫖↰⪸710≧⫂∧(⫖↰⪸A25⊠≄⫣)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2698,"base":12},"right_expr":{"type":"numeric_atoms","value":1020,"base":12}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1469,"base":12}}},"used_operators":["Ph9nP6C5qx","2DDjHMKMc0","DIvbN7qnHd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-335","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2698","layer":2},{"info":"number node, value=1020","layer":2},{"info":"compute binary expreesion, left_input=2698, right_input=1020, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2698","layer":1},{"info":"number node, value=1469","layer":2},{"info":"compute unary expreesion, input=1469, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=2698, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸168A⋝⋈⪟⫖↰⪸710≧⫂∧(⫖↰⪸A25⊠≄⫣)=⫖↰⪸-335","reverse_text":"⫖↰⪸-335=⫖↰⪸168A⋝⋈⪟⫖↰⪸710≧⫂∧(⫖↰⪸A25⊠≄⫣)","cot":[{"info":"⫖↰⪸168A⋝⋈⪟⫖↰⪸710=⫖↰⪸168A","layer":1},{"info":"⫖↰⪸A25⊠≄⫣=⫖↰⪸0","layer":1},{"info":"⫖↰⪸168A≧⫂∧⫖↰⪸0=⫖↰⪸-335","layer":0}]}
+{"id":922,"expression_no_base_symbol":"≤/$3286$+⇶⊼$2399$","expression":"≤/⫖↰⪸1A9A+⇶⊼⫖↰⪸147B","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3286,"base":12},"right_expr":{"type":"numeric_atoms","value":2399,"base":12}}},"used_operators":["eLAdDNolq6","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3286","layer":2},{"info":"number node, value=2399","layer":2},{"info":"compute binary expreesion, left_input=3286, right_input=2399, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≤/⫖↰⪸1A9A+⇶⊼⫖↰⪸147B=NaN","reverse_text":"NaN=≤/⫖↰⪸1A9A+⇶⊼⫖↰⪸147B","cot":[{"info":"⫖↰⪸1A9A+⇶⊼⫖↰⪸147B=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
+{"id":923,"expression_no_base_symbol":"$4060$⇷$2540$≎⊠⪸(≦∁$3027$)","expression":"⫖↰⪸2424⇷⫖↰⪸1578≎⊠⪸(≦∁⫖↰⪸1903)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":57117,"operation_count":3,"complexity_ratio":19039.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4060,"base":12},"right_expr":{"type":"numeric_atoms","value":2540,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3027,"base":12}}},"used_operators":["bJkvcejdHO","mp7IySMOzn","9ICcGScMcE"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫖↰⪸53517B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4060","layer":2},{"info":"number node, value=2540","layer":2},{"info":"compute binary expreesion, left_input=4060, right_input=2540, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5080","layer":1},{"info":"number node, value=3027","layer":2},{"info":"compute unary expreesion, input=3027, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3027","layer":1},{"info":"compute binary expreesion, left_input=5080, right_input=3027, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1315247","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2424⇷⫖↰⪸1578≎⊠⪸(≦∁⫖↰⪸1903)=⫖↰⪸53517B","reverse_text":"⫖↰⪸53517B=⫖↰⪸2424⇷⫖↰⪸1578≎⊠⪸(≦∁⫖↰⪸1903)","cot":[{"info":"⫖↰⪸2424⇷⫖↰⪸1578=⫖↰⪸2B34","layer":1},{"info":"≦∁⫖↰⪸1903=⫖↰⪸1903","layer":1},{"info":"⫖↰⪸2B34≎⊠⪸⫖↰⪸1903=⫖↰⪸53517B","layer":0}]}
+{"id":924,"expression_no_base_symbol":"($5092$≧⫂∧$1522$)⪢($3676$/$2448$)","expression":"(⫖↰⪸2B44≧⫂∧⫖↰⪸A6A)⪢(⫖↰⪸2164/⫖↰⪸1500)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1051,"operation_count":3,"complexity_ratio":350.3333333333333,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5092,"base":12},"right_expr":{"type":"numeric_atoms","value":1522,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3676,"base":12},"right_expr":{"type":"numeric_atoms","value":2448,"base":12}}},"used_operators":["dWAJyo7jo9","Ph9nP6C5qx","XhwjNDsVaA"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5092","layer":2},{"info":"number node, value=1522","layer":2},{"info":"compute binary expreesion, left_input=5092, right_input=1522, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1049","layer":1},{"info":"number node, value=3676","layer":2},{"info":"number node, value=2448","layer":2},{"info":"compute binary expreesion, left_input=3676, right_input=2448, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"compute binary expreesion, left_input=1049, right_input=1, 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":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2B44≧⫂∧⫖↰⪸A6A)⪢(⫖↰⪸2164/⫖↰⪸1500)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸2B44≧⫂∧⫖↰⪸A6A)⪢(⫖↰⪸2164/⫖↰⪸1500)","cot":[{"info":"⫖↰⪸2B44≧⫂∧⫖↰⪸A6A=⫖↰⪸735","layer":1},{"info":"⫖↰⪸2164/⫖↰⪸1500=⫖↰⪸1","layer":1},{"info":"⫖↰⪸735⪢⫖↰⪸1=⫖↰⪸0","layer":0}]}
+{"id":925,"expression_no_base_symbol":"⨵≀≌$1735$⊴$3892$","expression":"⨵≀≌⫖↰⪸1007⊴⫖↰⪸2304","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3901,"operation_count":2,"complexity_ratio":1950.5,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1735,"base":12},"right_expr":{"type":"numeric_atoms","value":3892,"base":12}}},"used_operators":["srAu1WTS94","Nsiff2A1zJ"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1735","layer":2},{"info":"number node, value=3892","layer":2},{"info":"compute binary expreesion, left_input=1735, right_input=3892, 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":12,"result_base":12,"text":"⨵≀≌⫖↰⪸1007⊴⫖↰⪸2304=NaN","reverse_text":"NaN=⨵≀≌⫖↰⪸1007⊴⫖↰⪸2304","cot":[{"info":"⫖↰⪸1007⊴⫖↰⪸2304=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
+{"id":926,"expression_no_base_symbol":"⫛⫱⨽($1548$↬$1988$)","expression":"⫛⫱⨽(⫖↰⪸A90↬⫖↰⪸1198)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":913,"operation_count":2,"complexity_ratio":456.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1548,"base":12},"right_expr":{"type":"numeric_atoms","value":1988,"base":12}}},"used_operators":["DlLNRPXxWL","B5M0gjZbta"],"dependent_operators":["rGHVDoGpnC","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1548","layer":2},{"info":"number node, value=1988","layer":2},{"info":"compute binary expreesion, left_input=1548, right_input=1988, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫛⫱⨽(⫖↰⪸A90↬⫖↰⪸1198)=NaN","reverse_text":"NaN=⫛⫱⨽(⫖↰⪸A90↬⫖↰⪸1198)","cot":[{"info":"⫖↰⪸A90↬⫖↰⪸1198=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
+{"id":927,"expression_no_base_symbol":"($1745$↛⩡⫤)⪘⫢($6682$⋷$5096$)","expression":"(⫖↰⪸1015↛⩡⫤)⪘⫢(⫖↰⪸3A4A⋷⫖↰⪸2B48)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5381,"operation_count":3,"complexity_ratio":1793.6666666666667,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1745,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6682,"base":12},"right_expr":{"type":"numeric_atoms","value":5096,"base":12}}},"used_operators":["oacrs7FA3X","FU0Cs4j7VP","23Mk6UjR3U"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-1","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1745","layer":2},{"info":"compute unary expreesion, input=1745, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-259584","layer":1},{"info":"number node, value=6682","layer":2},{"info":"number node, value=5096","layer":2},{"info":"compute binary expreesion, left_input=6682, right_input=5096, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3510","layer":1},{"info":"compute binary expreesion, left_input=-259584, right_input=3510, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1015↛⩡⫤)⪘⫢(⫖↰⪸3A4A⋷⫖↰⪸2B48)=⫖↰⪸-1","reverse_text":"⫖↰⪸-1=(⫖↰⪸1015↛⩡⫤)⪘⫢(⫖↰⪸3A4A⋷⫖↰⪸2B48)","cot":[{"info":"⫖↰⪸1015↛⩡⫤=⫖↰⪸-106280","layer":1},{"info":"⫖↰⪸3A4A⋷⫖↰⪸2B48=⫖↰⪸2046","layer":1},{"info":"⫖↰⪸-106280⪘⫢⫖↰⪸2046=⫖↰⪸-1","layer":0}]}
+{"id":928,"expression_no_base_symbol":"(≉$9022$)⨪↰⇹(↽≂$1019$)","expression":"(≉⫖↰⪸527A)⨪↰⇹(↽≂⫖↰⪸70B)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9558,"operation_count":3,"complexity_ratio":3186.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":9022,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1019,"base":12}}},"used_operators":["tmPS8pqC7x","e1ybzncUwg","u6S6b8DprG"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸5641","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=9022","layer":2},{"info":"compute unary expreesion, input=9022, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=9553","layer":1},{"info":"number node, value=1019","layer":2},{"info":"compute unary expreesion, input=1019, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2038","layer":1},{"info":"compute binary expreesion, left_input=9553, right_input=-2038, 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=9553","layer":0}],"base":12,"result_base":12,"text":"(≉⫖↰⪸527A)⨪↰⇹(↽≂⫖↰⪸70B)=⫖↰⪸5641","reverse_text":"⫖↰⪸5641=(≉⫖↰⪸527A)⨪↰⇹(↽≂⫖↰⪸70B)","cot":[{"info":"≉⫖↰⪸527A=⫖↰⪸5641","layer":1},{"info":"↽≂⫖↰⪸70B=⫖↰⪸-121A","layer":1},{"info":"⫖↰⪸5641⨪↰⇹⫖↰⪸-121A=⫖↰⪸5641","layer":0}]}
+{"id":929,"expression_no_base_symbol":"↥$3221$⩷∴$1295$","expression":"↥⫖↰⪸1A45⩷∴⫖↰⪸8BB","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":80,"operation_count":2,"complexity_ratio":40.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3221,"base":12},"right_expr":{"type":"numeric_atoms","value":1295,"base":12}}},"used_operators":["A8NUZmVepG","9FxExcQeMw"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z"],"result":"⫖↰⪸3A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3221","layer":2},{"info":"number node, value=1295","layer":2},{"info":"compute binary expreesion, left_input=3221, right_input=1295, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3820","layer":1},{"info":"compute unary expreesion, input=3820, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=46","layer":0}],"base":12,"result_base":12,"text":"↥⫖↰⪸1A45⩷∴⫖↰⪸8BB=⫖↰⪸3A","reverse_text":"⫖↰⪸3A=↥⫖↰⪸1A45⩷∴⫖↰⪸8BB","cot":[{"info":"⫖↰⪸1A45⩷∴⫖↰⪸8BB=⫖↰⪸2264","layer":1},{"info":"↥⫖↰⪸2264=⫖↰⪸3A","layer":0}]}
+{"id":930,"expression_no_base_symbol":"$1035$↬$7178$⨵⪆$1092$∑⇟⊟$7343$","expression":"⫖↰⪸723↬⫖↰⪸41A2⨵⪆⫖↰⪸770∑⇟⊟⫖↰⪸42BB","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1035,"base":12},"right_expr":{"type":"numeric_atoms","value":7178,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1092,"base":12},"right_expr":{"type":"numeric_atoms","value":7343,"base":12}}},"used_operators":["2DQ55sFlQl","B5M0gjZbta","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1035","layer":2},{"info":"number node, value=7178","layer":2},{"info":"compute binary expreesion, left_input=1035, right_input=7178, 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=1092","layer":2},{"info":"number node, value=7343","layer":2},{"info":"compute binary expreesion, left_input=1092, right_input=7343, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸723↬⫖↰⪸41A2⨵⪆⫖↰⪸770∑⇟⊟⫖↰⪸42BB=⫖↰⪸114","reverse_text":"⫖↰⪸114=⫖↰⪸723↬⫖↰⪸41A2⨵⪆⫖↰⪸770∑⇟⊟⫖↰⪸42BB","cot":[{"info":"⫖↰⪸723↬⫖↰⪸41A2=NaN","layer":1},{"info":"⫖↰⪸770∑⇟⊟⫖↰⪸42BB=NaN","layer":1},{"info":"NaN⨵⪆NaN=⫖↰⪸114","layer":0}]}
+{"id":931,"expression_no_base_symbol":"$6266$⇷$4051$↺($1146$⪨≂$1765$)","expression":"⫖↰⪸3762⇷⫖↰⪸2417↺(⫖↰⪸7B6⪨≂⫖↰⪸1031)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":87737,"operation_count":3,"complexity_ratio":29245.666666666668,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6266,"base":12},"right_expr":{"type":"numeric_atoms","value":4051,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1146,"base":12},"right_expr":{"type":"numeric_atoms","value":1765,"base":12}}},"used_operators":["7j4O788W3g","mp7IySMOzn","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-7A8","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6266","layer":2},{"info":"number node, value=4051","layer":2},{"info":"compute binary expreesion, left_input=6266, right_input=4051, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8102","layer":1},{"info":"number node, value=1146","layer":2},{"info":"number node, value=1765","layer":2},{"info":"compute binary expreesion, left_input=1146, right_input=1765, 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=-1136","layer":1},{"info":"compute binary expreesion, left_input=8102, right_input=-1136, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1136","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3762⇷⫖↰⪸2417↺(⫖↰⪸7B6⪨≂⫖↰⪸1031)=⫖↰⪸-7A8","reverse_text":"⫖↰⪸-7A8=⫖↰⪸3762⇷⫖↰⪸2417↺(⫖↰⪸7B6⪨≂⫖↰⪸1031)","cot":[{"info":"⫖↰⪸3762⇷⫖↰⪸2417=⫖↰⪸4832","layer":1},{"info":"⫖↰⪸7B6⪨≂⫖↰⪸1031=⫖↰⪸-7A8","layer":1},{"info":"⫖↰⪸4832↺⫖↰⪸-7A8=⫖↰⪸-7A8","layer":0}]}
+{"id":932,"expression_no_base_symbol":"$3892$≧⫂∧$3098$⊭↱$2838$⋓$3205$","expression":"⫖↰⪸2304≧⫂∧⫖↰⪸1962⊭↱⫖↰⪸1786⋓⫖↰⪸1A31","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3892,"base":12},"right_expr":{"type":"numeric_atoms","value":3098,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2838,"base":12},"right_expr":{"type":"numeric_atoms","value":3205,"base":12}}},"used_operators":["COABgblf1C","Ph9nP6C5qx","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫖↰⪸-3051","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3892","layer":2},{"info":"number node, value=3098","layer":2},{"info":"compute binary expreesion, left_input=3892, right_input=3098, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2625","layer":1},{"info":"number node, value=2838","layer":2},{"info":"number node, value=3205","layer":2},{"info":"compute binary expreesion, left_input=2838, right_input=3205, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=2625, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5245","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2304≧⫂∧⫖↰⪸1962⊭↱⫖↰⪸1786⋓⫖↰⪸1A31=⫖↰⪸-3051","reverse_text":"⫖↰⪸-3051=⫖↰⪸2304≧⫂∧⫖↰⪸1962⊭↱⫖↰⪸1786⋓⫖↰⪸1A31","cot":[{"info":"⫖↰⪸2304≧⫂∧⫖↰⪸1962=⫖↰⪸1629","layer":1},{"info":"⫖↰⪸1786⋓⫖↰⪸1A31=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1629⊭↱⫖↰⪸0=⫖↰⪸-3051","layer":0}]}
+{"id":933,"expression_no_base_symbol":"$1639$≹⇙⪍$1758$⇷($1718$⨎$1270$)","expression":"⫖↰⪸B47≹⇙⪍⫖↰⪸1026⇷(⫖↰⪸BB2⨎⫖↰⪸89A)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1639,"base":12},"right_expr":{"type":"numeric_atoms","value":1758,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1718,"base":12},"right_expr":{"type":"numeric_atoms","value":1270,"base":12}}},"used_operators":["mp7IySMOzn","AHs5Up7iyr","rJVOvQCfKK"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸1578","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1639","layer":2},{"info":"number node, value=1758","layer":2},{"info":"compute binary expreesion, left_input=1639, right_input=1758, 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=1718","layer":2},{"info":"number node, value=1270","layer":2},{"info":"compute binary expreesion, left_input=1718, right_input=1270, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1270","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1270, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2540","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸B47≹⇙⪍⫖↰⪸1026⇷(⫖↰⪸BB2⨎⫖↰⪸89A)=⫖↰⪸1578","reverse_text":"⫖↰⪸1578=⫖↰⪸B47≹⇙⪍⫖↰⪸1026⇷(⫖↰⪸BB2⨎⫖↰⪸89A)","cot":[{"info":"⫖↰⪸B47≹⇙⪍⫖↰⪸1026=NaN","layer":1},{"info":"⫖↰⪸BB2⨎⫖↰⪸89A=⫖↰⪸89A","layer":1},{"info":"NaN⇷⫖↰⪸89A=⫖↰⪸1578","layer":0}]}
+{"id":934,"expression_no_base_symbol":"⪲⇎$1970$⇷$1625$","expression":"⪲⇎⫖↰⪸1182⇷⫖↰⪸B35","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":27588,"operation_count":2,"complexity_ratio":13794.0,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1970,"base":12},"right_expr":{"type":"numeric_atoms","value":1625,"base":12}}},"used_operators":["XPYlsWDdGa","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸3918","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1970","layer":2},{"info":"number node, value=1625","layer":2},{"info":"compute binary expreesion, left_input=1970, right_input=1625, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3250","layer":1},{"info":"compute unary expreesion, input=3250, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6500","layer":0}],"base":12,"result_base":12,"text":"⪲⇎⫖↰⪸1182⇷⫖↰⪸B35=⫖↰⪸3918","reverse_text":"⫖↰⪸3918=⪲⇎⫖↰⪸1182⇷⫖↰⪸B35","cot":[{"info":"⫖↰⪸1182⇷⫖↰⪸B35=⫖↰⪸1A6A","layer":1},{"info":"⪲⇎⫖↰⪸1A6A=⫖↰⪸3918","layer":0}]}
+{"id":935,"expression_no_base_symbol":"($6568$⪄$1036$)⨐⩸⫘($4923$⪨≂$1889$)","expression":"(⫖↰⪸3974⪄⫖↰⪸724)⨐⩸⫘(⫖↰⪸2A23⪨≂⫖↰⪸1115)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":101,"operation_count":3,"complexity_ratio":33.666666666666664,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6568,"base":12},"right_expr":{"type":"numeric_atoms","value":1036,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4923,"base":12},"right_expr":{"type":"numeric_atoms","value":1889,"base":12}}},"used_operators":["fu6greOZ01","SUmda5xLS4","sdazOOVcIp"],"dependent_operators":["3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6568","layer":2},{"info":"number node, value=1036","layer":2},{"info":"compute binary expreesion, left_input=6568, right_input=1036, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-972297","layer":1},{"info":"number node, value=4923","layer":2},{"info":"number node, value=1889","layer":2},{"info":"compute binary expreesion, left_input=4923, right_input=1889, 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=6170","layer":1},{"info":"compute binary expreesion, left_input=-972297, right_input=6170, 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":12,"result_base":12,"text":"(⫖↰⪸3974⪄⫖↰⪸724)⨐⩸⫘(⫖↰⪸2A23⪨≂⫖↰⪸1115)=NaN","reverse_text":"NaN=(⫖↰⪸3974⪄⫖↰⪸724)⨐⩸⫘(⫖↰⪸2A23⪨≂⫖↰⪸1115)","cot":[{"info":"⫖↰⪸3974⪄⫖↰⪸724=⫖↰⪸-3AA809","layer":1},{"info":"⫖↰⪸2A23⪨≂⫖↰⪸1115=⫖↰⪸36A2","layer":1},{"info":"⫖↰⪸-3AA809⨐⩸⫘⫖↰⪸36A2=NaN","layer":0}]}
+{"id":936,"expression_no_base_symbol":"∥⊫$3424$∼$5428$","expression":"∥⊫⫖↰⪸1B94∼⫖↰⪸3184","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":72,"operation_count":2,"complexity_ratio":36.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3424,"base":12},"right_expr":{"type":"numeric_atoms","value":5428,"base":12}}},"used_operators":["P8v4zCKN1o","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3424","layer":2},{"info":"number node, value=5428","layer":2},{"info":"compute binary expreesion, left_input=3424, right_input=5428, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∥⊫⫖↰⪸1B94∼⫖↰⪸3184=NaN","reverse_text":"NaN=∥⊫⫖↰⪸1B94∼⫖↰⪸3184","cot":[{"info":"⫖↰⪸1B94∼⫖↰⪸3184=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
+{"id":937,"expression_no_base_symbol":"⫛⫱⨽($1323$⨽$5858$)","expression":"⫛⫱⨽(⫖↰⪸923⨽⫖↰⪸3482)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2754,"operation_count":2,"complexity_ratio":1377.0,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1323,"base":12},"right_expr":{"type":"numeric_atoms","value":5858,"base":12}}},"used_operators":["DlLNRPXxWL","8HhzD0ZcuI"],"dependent_operators":["rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1323","layer":2},{"info":"number node, value=5858","layer":2},{"info":"compute binary expreesion, left_input=1323, right_input=5858, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5267247","layer":1},{"info":"compute unary expreesion, input=-5267247, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫛⫱⨽(⫖↰⪸923⨽⫖↰⪸3482)=NaN","reverse_text":"NaN=⫛⫱⨽(⫖↰⪸923⨽⫖↰⪸3482)","cot":[{"info":"⫖↰⪸923⨽⫖↰⪸3482=⫖↰⪸-1920213","layer":1},{"info":"⫛⫱⨽⫖↰⪸-1920213=NaN","layer":0}]}
+{"id":938,"expression_no_base_symbol":"$2180$⋝⋈⪟$5045$⪒$3230$↬$1109$","expression":"⫖↰⪸1318⋝⋈⪟⫖↰⪸2B05⪒⫖↰⪸1A52↬⫖↰⪸785","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2180,"base":12},"right_expr":{"type":"numeric_atoms","value":5045,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3230,"base":12},"right_expr":{"type":"numeric_atoms","value":1109,"base":12}}},"used_operators":["f6k1SAg4EE","2DDjHMKMc0","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2180","layer":2},{"info":"number node, value=5045","layer":2},{"info":"compute binary expreesion, left_input=2180, right_input=5045, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2180","layer":1},{"info":"number node, value=3230","layer":2},{"info":"number node, value=1109","layer":2},{"info":"compute binary expreesion, left_input=3230, right_input=1109, 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=2180, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1318⋝⋈⪟⫖↰⪸2B05⪒⫖↰⪸1A52↬⫖↰⪸785=NaN","reverse_text":"NaN=⫖↰⪸1318⋝⋈⪟⫖↰⪸2B05⪒⫖↰⪸1A52↬⫖↰⪸785","cot":[{"info":"⫖↰⪸1318⋝⋈⪟⫖↰⪸2B05=⫖↰⪸1318","layer":1},{"info":"⫖↰⪸1A52↬⫖↰⪸785=NaN","layer":1},{"info":"⫖↰⪸1318⪒NaN=NaN","layer":0}]}
+{"id":939,"expression_no_base_symbol":"($4505$⇷$5535$)⪛($6025$⨪↰⇹$2087$)","expression":"(⫖↰⪸2735⇷⫖↰⪸3253)⪛(⫖↰⪸35A1⨪↰⇹⫖↰⪸125B)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":69105,"operation_count":3,"complexity_ratio":23035.0,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4505,"base":12},"right_expr":{"type":"numeric_atoms","value":5535,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6025,"base":12},"right_expr":{"type":"numeric_atoms","value":2087,"base":12}}},"used_operators":["uFcxV4UQCh","mp7IySMOzn","tmPS8pqC7x"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK"],"result":"⫖↰⪸2B05","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4505","layer":2},{"info":"number node, value=5535","layer":2},{"info":"compute binary expreesion, left_input=4505, right_input=5535, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11070","layer":1},{"info":"number node, value=6025","layer":2},{"info":"number node, value=2087","layer":2},{"info":"compute binary expreesion, left_input=6025, right_input=2087, 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=6025","layer":1},{"info":"compute binary expreesion, left_input=11070, right_input=6025, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=5045","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2735⇷⫖↰⪸3253)⪛(⫖↰⪸35A1⨪↰⇹⫖↰⪸125B)=⫖↰⪸2B05","reverse_text":"⫖↰⪸2B05=(⫖↰⪸2735⇷⫖↰⪸3253)⪛(⫖↰⪸35A1⨪↰⇹⫖↰⪸125B)","cot":[{"info":"⫖↰⪸2735⇷⫖↰⪸3253=⫖↰⪸64A6","layer":1},{"info":"⫖↰⪸35A1⨪↰⇹⫖↰⪸125B=⫖↰⪸35A1","layer":1},{"info":"⫖↰⪸64A6⪛⫖↰⪸35A1=⫖↰⪸2B05","layer":0}]}
+{"id":940,"expression_no_base_symbol":"$4923$∀⇚≩$2721$⫌⩹⨱","expression":"⫖↰⪸2A23∀⇚≩⫖↰⪸16A9⫌⩹⨱","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":34468,"operation_count":2,"complexity_ratio":17234.0,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4923,"base":12},"right_expr":{"type":"numeric_atoms","value":2721,"base":12}}},"used_operators":["EBcxylXtPf","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4923","layer":2},{"info":"number node, value=2721","layer":2},{"info":"compute binary expreesion, left_input=4923, right_input=2721, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2A23∀⇚≩⫖↰⪸16A9⫌⩹⨱=NaN","reverse_text":"NaN=⫖↰⪸2A23∀⇚≩⫖↰⪸16A9⫌⩹⨱","cot":[{"info":"⫖↰⪸2A23∀⇚≩⫖↰⪸16A9=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
+{"id":941,"expression_no_base_symbol":"↩($2321$/$1602$)","expression":"↩(⫖↰⪸1415/⫖↰⪸B16)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2321,"base":12},"right_expr":{"type":"numeric_atoms","value":1602,"base":12}}},"used_operators":["jLgFTUHLKL","XhwjNDsVaA"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z"],"result":"⫖↰⪸2968","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2321","layer":2},{"info":"number node, value=1602","layer":2},{"info":"compute binary expreesion, left_input=2321, right_input=1602, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"compute unary expreesion, input=1, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4832","layer":0}],"base":12,"result_base":12,"text":"↩(⫖↰⪸1415/⫖↰⪸B16)=⫖↰⪸2968","reverse_text":"⫖↰⪸2968=↩(⫖↰⪸1415/⫖↰⪸B16)","cot":[{"info":"⫖↰⪸1415/⫖↰⪸B16=⫖↰⪸1","layer":1},{"info":"↩⫖↰⪸1=⫖↰⪸2968","layer":0}]}
+{"id":942,"expression_no_base_symbol":"($7236$⪒$1177$)⇷($3544$⩷∴$1116$)","expression":"(⫖↰⪸4230⪒⫖↰⪸821)⇷(⫖↰⪸2074⩷∴⫖↰⪸790)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":117797,"operation_count":3,"complexity_ratio":39265.666666666664,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7236,"base":12},"right_expr":{"type":"numeric_atoms","value":1177,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3544,"base":12},"right_expr":{"type":"numeric_atoms","value":1116,"base":12}}},"used_operators":["mp7IySMOzn","f6k1SAg4EE","9FxExcQeMw"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸5700","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7236","layer":2},{"info":"number node, value=1177","layer":2},{"info":"compute binary expreesion, left_input=7236, right_input=1177, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8413","layer":1},{"info":"number node, value=3544","layer":2},{"info":"number node, value=1116","layer":2},{"info":"compute binary expreesion, left_input=3544, right_input=1116, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4824","layer":1},{"info":"compute binary expreesion, left_input=-8413, right_input=4824, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9648","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸4230⪒⫖↰⪸821)⇷(⫖↰⪸2074⩷∴⫖↰⪸790)=⫖↰⪸5700","reverse_text":"⫖↰⪸5700=(⫖↰⪸4230⪒⫖↰⪸821)⇷(⫖↰⪸2074⩷∴⫖↰⪸790)","cot":[{"info":"⫖↰⪸4230⪒⫖↰⪸821=⫖↰⪸-4A51","layer":1},{"info":"⫖↰⪸2074⩷∴⫖↰⪸790=⫖↰⪸2960","layer":1},{"info":"⫖↰⪸-4A51⇷⫖↰⪸2960=⫖↰⪸5700","layer":0}]}
+{"id":943,"expression_no_base_symbol":"($1679$⋳⪒$2707$)⪢(∂$7607$)","expression":"(⫖↰⪸B7B⋳⪒⫖↰⪸1697)⪢(∂⫖↰⪸449B)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1679,"base":12},"right_expr":{"type":"numeric_atoms","value":2707,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":7607,"base":12}}},"used_operators":["dWAJyo7jo9","12rbrZMWeM","Uaa54Peajs"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1679","layer":2},{"info":"number node, value=2707","layer":2},{"info":"compute binary expreesion, left_input=1679, right_input=2707, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=364","layer":1},{"info":"number node, value=7607","layer":2},{"info":"compute unary expreesion, input=7607, 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=364, 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":0}],"base":12,"result_base":12,"text":"(⫖↰⪸B7B⋳⪒⫖↰⪸1697)⪢(∂⫖↰⪸449B)=NaN","reverse_text":"NaN=(⫖↰⪸B7B⋳⪒⫖↰⪸1697)⪢(∂⫖↰⪸449B)","cot":[{"info":"⫖↰⪸B7B⋳⪒⫖↰⪸1697=⫖↰⪸264","layer":1},{"info":"∂⫖↰⪸449B=NaN","layer":1},{"info":"⫖↰⪸264⪢NaN=NaN","layer":0}]}
+{"id":944,"expression_no_base_symbol":"⨑⩽⪐$7506$⩷∴$3814$","expression":"⨑⩽⪐⫖↰⪸4416⩷∴⫖↰⪸225A","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7506,"base":12},"right_expr":{"type":"numeric_atoms","value":3814,"base":12}}},"used_operators":["AF7qkfDlqP","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸-411B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7506","layer":2},{"info":"number node, value=3814","layer":2},{"info":"compute binary expreesion, left_input=7506, right_input=3814, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7352","layer":1},{"info":"compute unary expreesion, input=7352, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7079","layer":0}],"base":12,"result_base":12,"text":"⨑⩽⪐⫖↰⪸4416⩷∴⫖↰⪸225A=⫖↰⪸-411B","reverse_text":"⫖↰⪸-411B=⨑⩽⪐⫖↰⪸4416⩷∴⫖↰⪸225A","cot":[{"info":"⫖↰⪸4416⩷∴⫖↰⪸225A=⫖↰⪸4308","layer":1},{"info":"⨑⩽⪐⫖↰⪸4308=⫖↰⪸-411B","layer":0}]}
+{"id":945,"expression_no_base_symbol":"($2620$≣⋋)+(⫓⪴$4256$)","expression":"(⫖↰⪸1624≣⋋)+(⫓⪴⫖↰⪸2568)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4771,"operation_count":3,"complexity_ratio":1590.3333333333333,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2620,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4256,"base":12}}},"used_operators":["W4YGzv6Whe","Tcnh7f0tEr","eLxqMNBOBk"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9HNa5Wba9A"],"result":"⫖↰⪸6096454","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2620","layer":2},{"info":"compute unary expreesion, input=2620, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"number node, value=4256","layer":2},{"info":"compute unary expreesion, input=4256, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=18113536","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=18113536, op_id = W4YGzv6Whe binary_op_definition= 'None', output=18113536","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1624≣⋋)+(⫓⪴⫖↰⪸2568)=⫖↰⪸6096454","reverse_text":"⫖↰���6096454=(⫖↰⪸1624≣⋋)+(⫓⪴⫖↰⪸2568)","cot":[{"info":"⫖↰⪸1624≣⋋=⫖↰⪸0","layer":1},{"info":"⫓⪴⫖↰⪸2568=⫖↰⪸6096454","layer":1},{"info":"⫖↰⪸0+⫖↰⪸6096454=⫖↰⪸6096454","layer":0}]}
+{"id":946,"expression_no_base_symbol":"⪲⇎($2183$⩨$3182$)","expression":"⪲⇎(⫖↰⪸131B⩨⫖↰⪸1A12)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2183,"base":12},"right_expr":{"type":"numeric_atoms","value":3182,"base":12}}},"used_operators":["XPYlsWDdGa","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸-6","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2183","layer":2},{"info":"number node, value=3182","layer":2},{"info":"compute binary expreesion, left_input=2183, right_input=3182, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"compute unary expreesion, input=-3, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-6","layer":0}],"base":12,"result_base":12,"text":"⪲⇎(⫖↰⪸131B⩨⫖↰⪸1A12)=⫖↰⪸-6","reverse_text":"⫖↰⪸-6=⪲⇎(⫖↰⪸131B⩨⫖↰⪸1A12)","cot":[{"info":"⫖↰⪸131B⩨⫖↰⪸1A12=⫖↰⪸-3","layer":1},{"info":"⪲⇎⫖↰⪸-3=⫖↰⪸-6","layer":0}]}
+{"id":947,"expression_no_base_symbol":"↽≂($5913$⨸⪁$1143$)","expression":"↽≂(⫖↰⪸3509⨸⪁⫖↰⪸7B3)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5913,"base":12},"right_expr":{"type":"numeric_atoms","value":1143,"base":12}}},"used_operators":["u6S6b8DprG","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫖↰⪸-14400","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5913","layer":2},{"info":"number node, value=1143","layer":2},{"info":"compute binary expreesion, left_input=5913, right_input=1143, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14112","layer":1},{"info":"compute unary expreesion, input=14112, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-28224","layer":0}],"base":12,"result_base":12,"text":"↽≂(⫖↰⪸3509⨸⪁⫖↰⪸7B3)=⫖↰⪸-14400","reverse_text":"⫖↰⪸-14400=↽≂(⫖↰⪸3509⨸⪁⫖↰⪸7B3)","cot":[{"info":"⫖↰⪸3509⨸⪁⫖↰⪸7B3=⫖↰⪸8200","layer":1},{"info":"↽≂⫖↰⪸8200=⫖↰⪸-14400","layer":0}]}
+{"id":948,"expression_no_base_symbol":"($6633$↪⪝)↺($2813$⫡⨏$3201$)","expression":"(⫖↰⪸3A09↪⪝)↺(⫖↰⪸1765⫡⨏⫖↰⪸1A29)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":709,"operation_count":3,"complexity_ratio":236.33333333333334,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":6633,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2813,"base":12},"right_expr":{"type":"numeric_atoms","value":3201,"base":12}}},"used_operators":["7j4O788W3g","l07mrZUIn9","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸1036A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6633","layer":2},{"info":"compute unary expreesion, input=6633, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=405820206","layer":1},{"info":"number node, value=2813","layer":2},{"info":"number node, value=3201","layer":2},{"info":"compute binary expreesion, left_input=2813, right_input=3201, 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=21250","layer":1},{"info":"compute binary expreesion, left_input=405820206, right_input=21250, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=21250","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3A09↪⪝)↺(⫖↰⪸1765⫡⨏⫖↰⪸1A29)=⫖↰⪸1036A","reverse_text":"⫖↰⪸1036A=(⫖↰⪸3A09↪⪝)↺(⫖↰⪸1765⫡⨏⫖↰⪸1A29)","cot":[{"info":"⫖↰⪸3A09↪⪝=⫖↰⪸B3AA97A6","layer":1},{"info":"⫖↰⪸1765⫡⨏⫖↰⪸1A29=⫖↰⪸1036A","layer":1},{"info":"⫖↰⪸B3AA97A6↺⫖↰⪸1036A=⫖↰⪸1036A","layer":0}]}
+{"id":949,"expression_no_base_symbol":"$5809$≹⇙⪍$1606$⩷∴(⊙↵-$2935$)","expression":"⫖↰⪸3441≹⇙⪍⫖↰⪸B1A⩷∴(⊙↵-⫖↰⪸1847)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2988,"operation_count":3,"complexity_ratio":996.0,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5809,"base":12},"right_expr":{"type":"numeric_atoms","value":1606,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2935,"base":12}}},"used_operators":["9FxExcQeMw","AHs5Up7iyr","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5809","layer":2},{"info":"number node, value=1606","layer":2},{"info":"compute binary expreesion, left_input=5809, right_input=1606, 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=2935","layer":2},{"info":"compute unary expreesion, input=2935, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3441≹⇙⪍⫖↰⪸B1A⩷∴(⊙↵-⫖↰⪸1847)=NaN","reverse_text":"NaN=⫖↰⪸3441≹⇙⪍⫖↰⪸B1A⩷∴(⊙↵-⫖↰⪸1847)","cot":[{"info":"⫖↰⪸3441≹⇙⪍⫖↰⪸B1A=NaN","layer":1},{"info":"⊙↵-⫖↰⪸1847=⫖↰⪸-1","layer":1},{"info":"NaN⩷∴⫖↰⪸-1=NaN","layer":0}]}
+{"id":950,"expression_no_base_symbol":"$2965$⪮%⊝$1109$⇷($1005$≫≃)","expression":"⫖↰⪸1871⪮%⊝⫖↰⪸785⇷(⫖↰⪸6B9≫≃)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":87466,"operation_count":3,"complexity_ratio":29155.333333333332,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2965,"base":12},"right_expr":{"type":"numeric_atoms","value":1109,"base":12}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1005,"base":12}}},"used_operators":["mp7IySMOzn","IWmyXbctLI","X99M06cbEe"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⫖↰⪸3B46","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2965","layer":2},{"info":"number node, value=1109","layer":2},{"info":"compute binary expreesion, left_input=2965, right_input=1109, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6246","layer":1},{"info":"number node, value=1005","layer":2},{"info":"compute unary expreesion, input=1005, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3411","layer":1},{"info":"compute binary expreesion, left_input=6246, right_input=3411, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6822","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1871⪮%⊝⫖↰⪸785⇷(⫖↰⪸6B9≫≃)=⫖↰⪸3B46","reverse_text":"⫖↰⪸3B46=⫖↰⪸1871⪮%⊝⫖↰⪸785⇷(⫖↰⪸6B9≫≃)","cot":[{"info":"⫖↰⪸1871⪮%⊝⫖↰⪸785=⫖↰⪸3746","layer":1},{"info":"⫖↰⪸6B9≫≃=⫖↰⪸1B83","layer":1},{"info":"⫖↰⪸3746⇷⫖↰⪸1B83=⫖↰⪸3B46","layer":0}]}
+{"id":951,"expression_no_base_symbol":"⋗⩬⋾(⨑⩽⪐$2284$)","expression":"⋗⩬⋾(⨑⩽⪐⫖↰⪸13A4)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2284,"base":12}}},"used_operators":["DpFCA1CohY","AF7qkfDlqP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫖↰⪸35A9","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2284","layer":2},{"info":"compute unary expreesion, input=2284, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2011","layer":1},{"info":"compute unary expreesion, input=-2011, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=6033","layer":0}],"base":12,"result_base":12,"text":"⋗⩬⋾(⨑⩽⪐⫖↰⪸13A4)=⫖↰⪸35A9","reverse_text":"⫖↰⪸35A9=⋗⩬⋾(⨑⩽⪐⫖↰⪸13A4)","cot":[{"info":"⨑⩽⪐⫖↰⪸13A4=⫖↰⪸-11B7","layer":1},{"info":"⋗⩬⋾⫖↰⪸-11B7=⫖↰⪸35A9","layer":0}]}
+{"id":952,"expression_no_base_symbol":"($3126$∑⇟⊟$5287$)⪢($4679$⇷$1846$)","expression":"(⫖↰⪸1986∑⇟⊟⫖↰⪸3087)⪢(⫖↰⪸285B⇷⫖↰⪸109A)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":69205,"operation_count":3,"complexity_ratio":23068.333333333332,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3126,"base":12},"right_expr":{"type":"numeric_atoms","value":5287,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4679,"base":12},"right_expr":{"type":"numeric_atoms","value":1846,"base":12}}},"used_operators":["dWAJyo7jo9","U7g4x0WXJJ","mp7IySMOzn"],"dependent_operators":["k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3126","layer":2},{"info":"number node, value=5287","layer":2},{"info":"compute binary expreesion, left_input=3126, right_input=5287, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=4679","layer":2},{"info":"number node, value=1846","layer":2},{"info":"compute binary expreesion, left_input=4679, right_input=1846, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3692","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3692, 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":12,"result_base":12,"text":"(⫖↰⪸1986∑⇟⊟⫖↰⪸3087)⪢(⫖↰⪸285B⇷⫖↰⪸109A)=NaN","reverse_text":"NaN=(⫖↰⪸1986∑⇟⊟⫖↰⪸3087)⪢(⫖↰⪸285B⇷⫖↰⪸109A)","cot":[{"info":"⫖↰⪸1986∑⇟⊟⫖↰⪸3087=NaN","layer":1},{"info":"⫖↰⪸285B⇷⫖↰⪸109A=⫖↰⪸2178","layer":1},{"info":"NaN⪢⫖↰⪸2178=NaN","layer":0}]}
+{"id":953,"expression_no_base_symbol":"($2911$⪒$7619$)∑⇟⊟($2162$↺$3732$)","expression":"(⫖↰⪸1827⪒⫖↰⪸44AB)∑⇟⊟(⫖↰⪸1302↺⫖↰⪸21B0)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2911,"base":12},"right_expr":{"type":"numeric_atoms","value":7619,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2162,"base":12},"right_expr":{"type":"numeric_atoms","value":3732,"base":12}}},"used_operators":["U7g4x0WXJJ","f6k1SAg4EE","7j4O788W3g"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2911","layer":2},{"info":"number node, value=7619","layer":2},{"info":"compute binary expreesion, left_input=2911, right_input=7619, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10530","layer":1},{"info":"number node, value=2162","layer":2},{"info":"number node, value=3732","layer":2},{"info":"compute binary expreesion, left_input=2162, right_input=3732, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3732","layer":1},{"info":"compute binary expreesion, left_input=-10530, right_input=3732, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1827⪒⫖↰⪸44AB)∑⇟⊟(⫖↰⪸1302↺⫖↰⪸21B0)=NaN","reverse_text":"NaN=(⫖↰⪸1827⪒⫖↰⪸44AB)∑⇟⊟(⫖↰⪸1302↺⫖↰⪸21B0)","cot":[{"info":"⫖↰⪸1827⪒⫖↰⪸44AB=⫖↰⪸-6116","layer":1},{"info":"⫖↰⪸1302↺⫖↰⪸21B0=⫖↰⪸21B0","layer":1},{"info":"⫖↰⪸-6116∑⇟⊟⫖↰⪸21B0=NaN","layer":0}]}
+{"id":954,"expression_no_base_symbol":"(⪝⪂⫅$2734$)⨪↰⇹($4559$⋓$1326$)","expression":"(⪝⪂⫅⫖↰⪸16BA)⨪↰⇹(⫖↰⪸277B⋓⫖↰⪸926)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":402061,"operation_count":3,"complexity_ratio":134020.33333333334,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2734,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4559,"base":12},"right_expr":{"type":"numeric_atoms","value":1326,"base":12}}},"used_operators":["tmPS8pqC7x","XTarYq4gQB","T2fj7uvVaJ"],"dependent_operators":["rJVOvQCfKK","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫖↰⪸-1746B6","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2734","layer":2},{"info":"compute unary expreesion, input=2734, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-401898","layer":1},{"info":"number node, value=4559","layer":2},{"info":"number node, value=1326","layer":2},{"info":"compute binary expreesion, left_input=4559, right_input=1326, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-401898, 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=-401898","layer":0}],"base":12,"result_base":12,"text":"(⪝⪂⫅⫖↰⪸16BA)⨪↰⇹(⫖↰⪸277B⋓⫖↰⪸926)=⫖↰⪸-1746B6","reverse_text":"⫖↰⪸-1746B6=(⪝⪂⫅⫖↰⪸16BA)⨪↰⇹(⫖↰⪸277B⋓⫖↰⪸926)","cot":[{"info":"⪝⪂⫅⫖↰⪸16BA=⫖↰⪸-1746B6","layer":1},{"info":"⫖↰⪸277B⋓⫖↰⪸926=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-1746B6⨪↰⇹⫖↰⪸0=⫖↰⪸-1746B6","layer":0}]}
+{"id":955,"expression_no_base_symbol":"($1280$∀⇚≩$3841$)∼($2235$⇼⇔∾$1340$)","expression":"(⫖↰⪸8A8∀⇚≩⫖↰⪸2281)∼(⫖↰⪸1363⇼⇔∾⫖↰⪸938)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12563,"operation_count":3,"complexity_ratio":4187.666666666667,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1280,"base":12},"right_expr":{"type":"numeric_atoms","value":3841,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2235,"base":12},"right_expr":{"type":"numeric_atoms","value":1340,"base":12}}},"used_operators":["DyGG3AbaNP","LRNGc0VcxI","tifHPKVTfV"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1280","layer":2},{"info":"number node, value=3841","layer":2},{"info":"compute binary expreesion, left_input=1280, right_input=3841, 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=2235","layer":2},{"info":"number node, value=1340","layer":2},{"info":"compute binary expreesion, left_input=2235, right_input=1340, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-895","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-895, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸8A8∀⇚≩⫖↰⪸2281)∼(⫖↰⪸1363⇼⇔∾⫖↰⪸938)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸8A8∀⇚≩⫖↰⪸2281)∼(⫖↰⪸1363⇼⇔∾⫖↰⪸938)","cot":[{"info":"⫖↰⪸8A8∀⇚≩⫖↰⪸2281=NaN","layer":1},{"info":"⫖↰⪸1363⇼⇔∾⫖↰⪸938=⫖↰⪸-627","layer":1},{"info":"NaN∼⫖↰⪸-627=⫖↰⪸0","layer":0}]}
+{"id":956,"expression_no_base_symbol":"$2162$⋝⋈⪟$1634$⫡⨏$2990$⊭↱$2815$","expression":"⫖↰⪸1302⋝⋈⪟⫖↰⪸B42⫡⨏⫖↰⪸1892⊭↱⫖↰⪸1767","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2162,"base":12},"right_expr":{"type":"numeric_atoms","value":1634,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2990,"base":12},"right_expr":{"type":"numeric_atoms","value":2815,"base":12}}},"used_operators":["QMFrweE19q","2DDjHMKMc0","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸6387","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2162","layer":2},{"info":"number node, value=1634","layer":2},{"info":"compute binary expreesion, left_input=2162, right_input=1634, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2162","layer":1},{"info":"number node, value=2990","layer":2},{"info":"number node, value=2815","layer":2},{"info":"compute binary expreesion, left_input=2990, right_input=2815, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-345","layer":1},{"info":"compute binary expreesion, left_input=2162, right_input=-345, 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=10903","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1302⋝⋈⪟⫖↰⪸B42⫡⨏⫖↰⪸1892⊭↱⫖↰⪸1767=⫖↰⪸6387","reverse_text":"⫖↰⪸6387=⫖↰⪸1302⋝⋈⪟⫖↰⪸B42⫡⨏⫖↰⪸1892⊭↱⫖↰⪸1767","cot":[{"info":"⫖↰⪸1302⋝⋈⪟⫖↰⪸B42=⫖↰⪸1302","layer":1},{"info":"⫖↰⪸1892⊭↱⫖↰⪸1767=⫖↰⪸-249","layer":1},{"info":"⫖↰⪸1302⫡⨏⫖↰⪸-249=⫖↰⪸6387","layer":0}]}
+{"id":957,"expression_no_base_symbol":"$6531$⫡⨏$4726$⋷$6608$⋳⪒$2503$","expression":"⫖↰⪸3943⫡⨏⫖↰⪸289A⋷⫖↰⪸39A8⋳⪒⫖↰⪸1547","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":17,"operation_count":3,"complexity_ratio":5.666666666666667,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6531,"base":12},"right_expr":{"type":"numeric_atoms","value":4726,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6608,"base":12},"right_expr":{"type":"numeric_atoms","value":2503,"base":12}}},"used_operators":["23Mk6UjR3U","QMFrweE19q","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-10906","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6531","layer":2},{"info":"number node, value=4726","layer":2},{"info":"compute binary expreesion, left_input=6531, right_input=4726, 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=42890","layer":1},{"info":"number node, value=6608","layer":2},{"info":"number node, value=2503","layer":2},{"info":"compute binary expreesion, left_input=6608, right_input=2503, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10426","layer":1},{"info":"compute binary expreesion, left_input=42890, right_input=10426, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-22038","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3943⫡⨏⫖↰⪸289A⋷⫖↰⪸39A8⋳⪒⫖↰⪸1547=⫖↰⪸-10906","reverse_text":"⫖↰⪸-10906=⫖↰⪸3943⫡⨏⫖↰⪸289A⋷⫖↰⪸39A8⋳⪒⫖↰⪸1547","cot":[{"info":"⫖↰⪸3943⫡⨏⫖↰⪸289A=⫖↰⪸209A2","layer":1},{"info":"⫖↰⪸39A8⋳⪒⫖↰⪸1547=⫖↰⪸604A","layer":1},{"info":"⫖↰⪸209A2⋷⫖↰⪸604A=⫖↰⪸-10906","layer":0}]}
+{"id":958,"expression_no_base_symbol":"≦∁($6658$⊠≄⫣)","expression":"≦∁(⫖↰⪸3A2A⊠≄⫣)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":6658,"base":12}}},"used_operators":["9ICcGScMcE","DIvbN7qnHd"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-228","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6658","layer":2},{"info":"compute unary expreesion, input=6658, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":0}],"base":12,"result_base":12,"text":"≦∁(⫖↰⪸3A2A⊠≄⫣)=⫖↰⪸-228","reverse_text":"⫖↰⪸-228=≦∁(⫖↰⪸3A2A⊠≄⫣)","cot":[{"info":"⫖↰⪸3A2A⊠≄⫣=⫖↰⪸0","layer":1},{"info":"≦∁⫖↰⪸0=⫖↰⪸-228","layer":0}]}
+{"id":959,"expression_no_base_symbol":"($1248$⩷∴$6596$)⨓(⊙↵-$1824$)","expression":"(⫖↰⪸880⩷∴⫖↰⪸3998)⨓(⊙↵-⫖↰⪸1080)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1883,"operation_count":3,"complexity_ratio":627.6666666666666,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1248,"base":12},"right_expr":{"type":"numeric_atoms","value":6596,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1824,"base":12}}},"used_operators":["3ViojmjbAp","9FxExcQeMw","oWn0xqSxBt"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫖↰⪸-4","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1248","layer":2},{"info":"number node, value=6596","layer":2},{"info":"compute binary expreesion, left_input=1248, right_input=6596, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-10728","layer":1},{"info":"number node, value=1824","layer":2},{"info":"compute unary expreesion, input=1824, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=-10728, right_input=-1, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸880⩷∴⫖↰⪸3998)⨓(⊙↵-⫖↰⪸1080)=⫖↰⪸-4","reverse_text":"⫖↰⪸-4=(⫖↰⪸880⩷∴⫖↰⪸3998)⨓(⊙↵-⫖↰⪸1080)","cot":[{"info":"⫖↰⪸880⩷∴⫖↰⪸3998=⫖↰⪸-6260","layer":1},{"info":"⊙↵-⫖↰⪸1080=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸-6260⨓⫖↰⪸-1=⫖↰⪸-4","layer":0}]}
+{"id":960,"expression_no_base_symbol":"($1192$⨐⩸⫘$6536$)⋳⪒(↽≂$4670$)","expression":"(⫖↰⪸834⨐⩸⫘⫖↰⪸3948)⋳⪒(↽≂⫖↰⪸2852)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1192,"base":12},"right_expr":{"type":"numeric_atoms","value":6536,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4670,"base":12}}},"used_operators":["12rbrZMWeM","fu6greOZ01","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1192","layer":2},{"info":"number node, value=6536","layer":2},{"info":"compute binary expreesion, left_input=1192, right_input=6536, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4670","layer":2},{"info":"compute unary expreesion, input=4670, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9340","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-9340, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸834⨐⩸⫘⫖↰⪸3948)⋳⪒(↽≂⫖↰⪸2852)=NaN","reverse_text":"NaN=(⫖↰⪸834⨐⩸⫘⫖↰⪸3948)⋳⪒(↽≂⫖↰⪸2852)","cot":[{"info":"⫖↰⪸834⨐⩸⫘⫖↰⪸3948=NaN","layer":1},{"info":"↽≂⫖↰⪸2852=⫖↰⪸-54A4","layer":1},{"info":"NaN⋳⪒⫖↰⪸-54A4=NaN","layer":0}]}
+{"id":961,"expression_no_base_symbol":"$3608$⨎$1074$⇼⇔∾(↔$1765$)","expression":"⫖↰⪸2108⨎⫖↰⪸756⇼⇔∾(↔⫖↰⪸1031)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3608,"base":12},"right_expr":{"type":"numeric_atoms","value":1074,"base":12}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1765,"base":12}}},"used_operators":["tifHPKVTfV","rJVOvQCfKK","ruOEQAzv1W"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫖↰⪸-159A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3608","layer":2},{"info":"number node, value=1074","layer":2},{"info":"compute binary expreesion, left_input=3608, right_input=1074, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1074","layer":1},{"info":"number node, value=1765","layer":2},{"info":"compute unary expreesion, input=1765, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a���≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1492","layer":1},{"info":"compute binary expreesion, left_input=1074, right_input=-1492, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2566","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2108⨎⫖↰⪸756⇼⇔∾(↔⫖↰⪸1031)=⫖↰⪸-159A","reverse_text":"⫖↰⪸-159A=⫖↰⪸2108⨎⫖↰⪸756⇼⇔∾(↔⫖↰⪸1031)","cot":[{"info":"⫖↰⪸2108⨎⫖↰⪸756=⫖↰⪸756","layer":1},{"info":"↔⫖↰⪸1031=⫖↰⪸-A44","layer":1},{"info":"⫖↰⪸756⇼⇔∾⫖↰⪸-A44=⫖↰⪸-159A","layer":0}]}
+{"id":962,"expression_no_base_symbol":"(↣≠⋷$1072$)⪄$5671$⨟⋌⩍$2780$","expression":"(↣≠⋷⫖↰⪸754)⪄⫖↰⪸3347⨟⋌⩍⫖↰⪸1738","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1072,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5671,"base":12},"right_expr":{"type":"numeric_atoms","value":2780,"base":12}}},"used_operators":["SUmda5xLS4","Asc51vEJeQ","rGHVDoGpnC"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","Tcnh7f0tEr"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1072","layer":2},{"info":"compute unary expreesion, input=1072, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=5671","layer":2},{"info":"number node, value=2780","layer":2},{"info":"compute binary expreesion, left_input=5671, right_input=2780, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":0}],"base":12,"result_base":12,"text":"(↣≠⋷⫖↰⪸754)⪄⫖↰⪸3347⨟⋌⩍⫖↰⪸1738=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=(↣≠⋷⫖↰⪸754)⪄⫖↰⪸3347⨟⋌⩍⫖↰⪸1738","cot":[{"info":"↣≠⋷⫖↰⪸754=NaN","layer":1},{"info":"⫖↰⪸3347⨟⋌⩍⫖↰⪸1738=NaN","layer":1},{"info":"NaN⪄NaN=⫖↰⪸2377","layer":0}]}
+{"id":963,"expression_no_base_symbol":"≉$5563$⫥∨⫟$1301$","expression":"≉⫖↰⪸3277⫥∨⫟⫖↰⪸905","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":155,"operation_count":2,"complexity_ratio":77.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5563,"base":12},"right_expr":{"type":"numeric_atoms","value":1301,"base":12}}},"used_operators":["e1ybzncUwg","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5563","layer":2},{"info":"number node, value=1301","layer":2},{"info":"compute binary expreesion, left_input=5563, right_input=1301, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', 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":12,"result_base":12,"text":"≉⫖↰⪸3277⫥∨⫟⫖↰⪸905=NaN","reverse_text":"NaN=≉⫖↰⪸3277⫥∨⫟⫖↰⪸905","cot":[{"info":"⫖↰⪸3277⫥∨⫟⫖↰⪸905=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
+{"id":964,"expression_no_base_symbol":"($4405$⊦⊿)+$1608$⨓$1585$","expression":"(⫖↰⪸2671⊦⊿)+⫖↰⪸B20⨓⫖↰⪸B01","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1598,"operation_count":3,"complexity_ratio":532.6666666666666,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4405,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1608,"base":12},"right_expr":{"type":"numeric_atoms","value":1585,"base":12}}},"used_operators":["W4YGzv6Whe","14qkJME0vr","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫖↰⪸-8742","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4405","layer":2},{"info":"compute unary expreesion, input=4405, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-13294","layer":1},{"info":"number node, value=1608","layer":2},{"info":"number node, value=1585","layer":2},{"info":"compute binary expreesion, left_input=1608, right_input=1585, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1588","layer":1},{"info":"compute binary expreesion, left_input=-13294, right_input=-1588, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-14882","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2671⊦⊿)+⫖↰⪸B20⨓⫖↰⪸B01=⫖↰⪸-8742","reverse_text":"⫖↰⪸-8742=(⫖↰⪸2671⊦⊿)+⫖↰⪸B20⨓⫖↰⪸B01","cot":[{"info":"⫖↰⪸2671⊦⊿=⫖↰⪸-783A","layer":1},{"info":"⫖↰⪸B20⨓⫖↰⪸B01=⫖↰⪸-B04","layer":1},{"info":"⫖↰⪸-783A+⫖↰⪸-B04=⫖↰⪸-8742","layer":0}]}
+{"id":965,"expression_no_base_symbol":"($1378$⇼⇔∾$5867$)⇷($1703$⪒$7541$)","expression":"(⫖↰⪸96A⇼⇔∾⫖↰⪸348B)⇷(⫖↰⪸B9B⪒⫖↰⪸4445)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62859,"operation_count":3,"complexity_ratio":20953.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1378,"base":12},"right_expr":{"type":"numeric_atoms","value":5867,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1703,"base":12},"right_expr":{"type":"numeric_atoms","value":7541,"base":12}}},"used_operators":["mp7IySMOzn","tifHPKVTfV","f6k1SAg4EE"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1378","layer":2},{"info":"number node, value=5867","layer":2},{"info":"compute binary expreesion, left_input=1378, right_input=5867, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4489","layer":1},{"info":"number node, value=1703","layer":2},{"info":"number node, value=7541","layer":2},{"info":"compute binary expreesion, left_input=1703, right_input=7541, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9244","layer":1},{"info":"compute binary expreesion, left_input=4489, right_input=-9244, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸96A⇼⇔∾⫖↰⪸348B)⇷(⫖↰⪸B9B⪒⫖↰⪸4445)=NaN","reverse_text":"NaN=(⫖↰⪸96A⇼⇔∾⫖↰⪸348B)⇷(⫖↰⪸B9B⪒⫖↰⪸4445)","cot":[{"info":"⫖↰⪸96A⇼⇔∾⫖↰⪸348B=⫖↰⪸2721","layer":1},{"info":"⫖↰⪸B9B⪒⫖↰⪸4445=⫖↰⪸-5424","layer":1},{"info":"⫖↰⪸2721⇷⫖↰⪸-5424=NaN","layer":0}]}
+{"id":966,"expression_no_base_symbol":"($1088$%$2881$)≣⋋","expression":"(⫖↰⪸768%⫖↰⪸1801)≣⋋","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":515,"operation_count":2,"complexity_ratio":257.5,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1088,"base":12},"right_expr":{"type":"numeric_atoms","value":2881,"base":12}}},"used_operators":["Tcnh7f0tEr","k8jYdgA6NY"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1088","layer":2},{"info":"number node, value=2881","layer":2},{"info":"compute binary expreesion, left_input=1088, right_input=2881, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1088","layer":1},{"info":"compute unary expreesion, input=1088, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸768%⫖↰⪸1801)≣⋋=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸768%⫖↰⪸1801)≣⋋","cot":[{"info":"⫖↰⪸768%⫖↰⪸1801=⫖↰⪸768","layer":1},{"info":"⫖↰⪸768≣⋋=⫖↰⪸0","layer":0}]}
+{"id":967,"expression_no_base_symbol":"($3939$⨳⩥⨓$4789$)⪛($1167$%$2888$)","expression":"(⫖↰⪸2343⨳⩥⨓⫖↰⪸2931)⪛(⫖↰⪸813%⫖↰⪸1808)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3939,"base":12},"right_expr":{"type":"numeric_atoms","value":4789,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1167,"base":12},"right_expr":{"type":"numeric_atoms","value":2888,"base":12}}},"used_operators":["uFcxV4UQCh","nCS4ZIUYfx","k8jYdgA6NY"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z"],"result":"⫖↰⪸5AA","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3939","layer":2},{"info":"number node, value=4789","layer":2},{"info":"compute binary expreesion, left_input=3939, right_input=4789, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=850","layer":1},{"info":"number node, value=1167","layer":2},{"info":"number node, value=2888","layer":2},{"info":"compute binary expreesion, left_input=1167, right_input=2888, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1167","layer":1},{"info":"compute binary expreesion, left_input=850, right_input=1167, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=850","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2343⨳⩥⨓⫖↰⪸2931)⪛(⫖↰⪸813%⫖↰⪸1808)=⫖↰⪸5AA","reverse_text":"⫖↰⪸5AA=(⫖↰⪸2343⨳⩥⨓⫖↰⪸2931)⪛(⫖↰⪸813%⫖↰⪸1808)","cot":[{"info":"⫖↰⪸2343⨳⩥⨓⫖↰⪸2931=⫖↰⪸5AA","layer":1},{"info":"⫖↰⪸813%⫖↰⪸1808=⫖↰⪸813","layer":1},{"info":"⫖↰⪸5AA⪛⫖↰⪸813=⫖↰⪸5AA","layer":0}]}
+{"id":968,"expression_no_base_symbol":"(⨰⫟⨤$2517$)⫡⨏($7768$⪠⩆⊳)","expression":"(⨰⫟⨤⫖↰⪸1559)⫡⨏(⫖↰⪸45B4⪠⩆⊳)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9241,"operation_count":3,"complexity_ratio":3080.3333333333335,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2517,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":7768,"base":12}}},"used_operators":["QMFrweE19q","Tw270M8GLb","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2517","layer":2},{"info":"compute unary expreesion, input=2517, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=7768","layer":2},{"info":"compute unary expreesion, input=7768, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨰⫟⨤⫖↰⪸1559)⫡⨏(⫖↰⪸45B4⪠⩆⊳)=NaN","reverse_text":"NaN=(⨰⫟⨤⫖↰⪸1559)⫡⨏(⫖↰⪸45B4⪠⩆⊳)","cot":[{"info":"⨰⫟⨤⫖↰⪸1559=NaN","layer":1},{"info":"⫖↰⪸45B4⪠⩆⊳=⫖↰⪸0","layer":1},{"info":"NaN⫡⨏⫖↰⪸0=NaN","layer":0}]}
+{"id":969,"expression_no_base_symbol":"($1411$⊪)⪮%⊝($2425$⇷$2101$)","expression":"(⫖↰⪸997⊪)⪮%⊝(⫖↰⪸14A1⇷⫖↰⪸1271)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33998,"operation_count":3,"complexity_ratio":11332.666666666666,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1411,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2425,"base":12},"right_expr":{"type":"numeric_atoms","value":2101,"base":12}}},"used_operators":["IWmyXbctLI","zVYPLywUTj","mp7IySMOzn"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸224","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1411","layer":2},{"info":"compute unary expreesion, input=1411, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"number node, value=2425","layer":2},{"info":"number node, value=2101","layer":2},{"info":"compute binary expreesion, left_input=2425, right_input=2101, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4202","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=4202, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸997⊪)⪮%⊝(⫖↰⪸14A1⇷⫖↰⪸1271)=⫖↰⪸224","reverse_text":"⫖↰⪸224=(⫖↰⪸997⊪)⪮%⊝(⫖↰⪸14A1⇷⫖↰⪸1271)","cot":[{"info":"⫖↰⪸997⊪=⫖↰⪸0","layer":1},{"info":"⫖↰⪸14A1⇷⫖↰⪸1271=⫖↰⪸2522","layer":1},{"info":"⫖↰⪸0⪮%⊝⫖↰⪸2522=⫖↰⪸224","layer":0}]}
+{"id":970,"expression_no_base_symbol":"$2561$*$4147$⊉≛↸$1163$≎⊠⪸$6594$","expression":"⫖↰⪸1595*⫖↰⪸2497⊉≛↸⫖↰⪸80B≎⊠⪸⫖↰⪸3996","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2833,"operation_count":3,"complexity_ratio":944.3333333333334,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2561,"base":12},"right_expr":{"type":"numeric_atoms","value":4147,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1163,"base":12},"right_expr":{"type":"numeric_atoms","value":6594,"base":12}}},"used_operators":["DZ8iAZOCBD","9HNa5Wba9A","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫖↰⪸714425A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2561","layer":2},{"info":"number node, value=4147","layer":2},{"info":"compute binary expreesion, left_input=2561, right_input=4147, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10620467","layer":1},{"info":"number node, value=1163","layer":2},{"info":"number node, value=6594","layer":2},{"info":"compute binary expreesion, left_input=1163, right_input=6594, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=300744","layer":1},{"info":"compute binary expreesion, left_input=10620467, right_input=300744, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=21240934","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1595*⫖↰⪸2497⊉≛↸⫖↰⪸80B≎⊠⪸⫖↰⪸3996=⫖↰⪸714425A","reverse_text":"⫖↰⪸714425A=⫖↰⪸1595*⫖↰⪸2497⊉≛↸⫖↰⪸80B≎⊠⪸⫖↰⪸3996","cot":[{"info":"⫖↰⪸1595*⫖↰⪸2497=⫖↰⪸368212B","layer":1},{"info":"⫖↰⪸80B≎⊠⪸⫖↰⪸3996=⫖↰⪸126060","layer":1},{"info":"⫖↰⪸368212B⊉≛↸⫖↰⪸126060=⫖↰⪸714425A","layer":0}]}
+{"id":971,"expression_no_base_symbol":"(⊥$3135$)⊘","expression":"(⊥⫖↰⪸1993)⊘","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":22,"operation_count":2,"complexity_ratio":11.0,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3135,"base":12}}},"used_operators":["gu96TGCTMs","Q3PJZHRvZv"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3135","layer":2},{"info":"compute unary expreesion, input=3135, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"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":0}],"base":12,"result_base":12,"text":"(⊥⫖↰⪸1993)⊘=NaN","reverse_text":"NaN=(⊥⫖↰⪸1993)⊘","cot":[{"info":"⊥⫖↰⪸1993=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
+{"id":972,"expression_no_base_symbol":"$7874$⊴$1339$↺$2092$∑⇟⊟$1803$","expression":"⫖↰⪸4682⊴⫖↰⪸937↺⫖↰⪸1264∑⇟⊟⫖↰⪸1063","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8098,"operation_count":3,"complexity_ratio":2699.3333333333335,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7874,"base":12},"right_expr":{"type":"numeric_atoms","value":1339,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2092,"base":12},"right_expr":{"type":"numeric_atoms","value":1803,"base":12}}},"used_operators":["7j4O788W3g","Nsiff2A1zJ","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7874","layer":2},{"info":"number node, value=1339","layer":2},{"info":"compute binary expreesion, left_input=7874, right_input=1339, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2092","layer":2},{"info":"number node, value=1803","layer":2},{"info":"compute binary expreesion, left_input=2092, right_input=1803, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸4682⊴⫖↰⪸937↺⫖↰⪸1264∑⇟⊟⫖↰⪸1063=NaN","reverse_text":"NaN=⫖↰⪸4682⊴⫖↰⪸937↺⫖↰⪸1264∑⇟⊟⫖↰⪸1063","cot":[{"info":"⫖↰⪸4682⊴⫖↰⪸937=NaN","layer":1},{"info":"⫖↰⪸1264∑⇟⊟⫖↰⪸1063=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
+{"id":973,"expression_no_base_symbol":"($1200$⫸⊐$2006$)⪛($1401$≎⊠⪸$1629$)","expression":"(⫖↰⪸840⫸⊐⫖↰⪸11B2)⪛(⫖↰⪸989≎⊠⪸⫖↰⪸B39)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":298,"operation_count":3,"complexity_ratio":99.33333333333333,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1200,"base":12},"right_expr":{"type":"numeric_atoms","value":2006,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1401,"base":12},"right_expr":{"type":"numeric_atoms","value":1629,"base":12}}},"used_operators":["uFcxV4UQCh","mqXw5SEYmG","bJkvcejdHO"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫖↰⪸46A3","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1200","layer":2},{"info":"number node, value=2006","layer":2},{"info":"compute binary expreesion, left_input=1200, right_input=2006, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7899","layer":1},{"info":"number node, value=1401","layer":2},{"info":"number node, value=1629","layer":2},{"info":"compute binary expreesion, left_input=1401, right_input=1629, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=362386","layer":1},{"info":"compute binary expreesion, left_input=7899, right_input=362386, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=7899","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸840⫸⊐⫖↰⪸11B2)⪛(⫖↰⪸989≎⊠⪸⫖↰⪸B39)=⫖↰⪸46A3","reverse_text":"⫖↰⪸46A3=(⫖↰⪸840⫸⊐⫖↰⪸11B2)⪛(⫖↰⪸989≎⊠⪸⫖↰⪸B39)","cot":[{"info":"⫖↰⪸840⫸⊐⫖↰⪸11B2=⫖↰⪸46A3","layer":1},{"info":"⫖↰⪸989≎⊠⪸⫖↰⪸B39=⫖↰⪸15586A","layer":1},{"info":"⫖↰⪸46A3⪛⫖↰⪸15586A=⫖↰⪸46A3","layer":0}]}
+{"id":974,"expression_no_base_symbol":"($5022$↙$9330$)⇷($2002$+⇶⊼$2469$)","expression":"(⫖↰⪸2AA6↙⫖↰⪸5496)⇷(⫖↰⪸11AA+⇶⊼⫖↰⪸1519)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":401200,"operation_count":3,"complexity_ratio":133733.33333333334,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5022,"base":12},"right_expr":{"type":"numeric_atoms","value":9330,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2002,"base":12},"right_expr":{"type":"numeric_atoms","value":2469,"base":12}}},"used_operators":["mp7IySMOzn","yyfyN0ffXY","TpPTUOHfaN"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5022","layer":2},{"info":"number node, value=9330","layer":2},{"info":"compute binary expreesion, left_input=5022, right_input=9330, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-27990","layer":1},{"info":"number node, value=2002","layer":2},{"info":"number node, value=2469","layer":2},{"info":"compute binary expreesion, left_input=2002, right_input=2469, 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=-27990, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2AA6↙⫖↰⪸5496)⇷(⫖↰⪸11AA+⇶⊼⫖↰⪸1519)=NaN","reverse_text":"NaN=(⫖↰⪸2AA6↙⫖↰⪸5496)⇷(⫖↰⪸11AA+⇶⊼⫖↰⪸1519)","cot":[{"info":"⫖↰⪸2AA6↙⫖↰⪸5496=⫖↰⪸-14246","layer":1},{"info":"⫖↰⪸11AA+⇶⊼⫖↰⪸1519=NaN","layer":1},{"info":"⫖↰⪸-14246⇷NaN=NaN","layer":0}]}
+{"id":975,"expression_no_base_symbol":"($5592$⪘⫢$1157$)⇷$6071$⇷$2116$","expression":"(⫖↰⪸32A0⪘⫢⫖↰⪸805)⇷⫖↰⪸361B⇷⫖↰⪸1284","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":239861,"operation_count":3,"complexity_ratio":79953.66666666667,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5592,"base":12},"right_expr":{"type":"numeric_atoms","value":1157,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6071,"base":12},"right_expr":{"type":"numeric_atoms","value":2116,"base":12}}},"used_operators":["mp7IySMOzn","oacrs7FA3X"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫖↰⪸4A94","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5592","layer":2},{"info":"number node, value=1157","layer":2},{"info":"compute binary expreesion, left_input=5592, right_input=1157, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11060","layer":1},{"info":"number node, value=6071","layer":2},{"info":"number node, value=2116","layer":2},{"info":"compute binary expreesion, left_input=6071, right_input=2116, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4232","layer":1},{"info":"compute binary expreesion, left_input=11060, right_input=4232, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8464","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸32A0⪘⫢⫖↰⪸805)⇷⫖↰⪸361B⇷⫖↰⪸1284=⫖↰⪸4A94","reverse_text":"⫖↰⪸4A94=(⫖↰⪸32A0⪘⫢⫖↰⪸805)⇷⫖↰⪸361B⇷⫖↰⪸1284","cot":[{"info":"⫖↰⪸32A0⪘⫢⫖↰⪸805=⫖↰⪸6498","layer":1},{"info":"⫖↰⪸361B⇷⫖↰⪸1284=⫖↰⪸2548","layer":1},{"info":"⫖↰⪸6498⇷⫖↰⪸2548=⫖↰⪸4A94","layer":0}]}
+{"id":976,"expression_no_base_symbol":"($1216$/$1738$)⨽($1980$⨳⩥⨓$1852$)","expression":"(⫖↰⪸854/⫖↰⪸100A)⨽(⫖↰⪸1190⨳⩥⨓⫖↰⪸10A4)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1216,"base":12},"right_expr":{"type":"numeric_atoms","value":1738,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1980,"base":12},"right_expr":{"type":"numeric_atoms","value":1852,"base":12}}},"used_operators":["8HhzD0ZcuI","XhwjNDsVaA","nCS4ZIUYfx"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸B96","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1216","layer":2},{"info":"number node, value=1738","layer":2},{"info":"compute binary expreesion, left_input=1216, right_input=1738, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1980","layer":2},{"info":"number node, value=1852","layer":2},{"info":"compute binary expreesion, left_input=1980, right_input=1852, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-128","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-128, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=1698","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸854/⫖↰⪸100A)⨽(⫖↰⪸1190⨳⩥⨓⫖↰⪸10A4)=⫖↰⪸B96","reverse_text":"⫖↰⪸B96=(⫖↰⪸854/⫖↰⪸100A)⨽(⫖↰⪸1190⨳⩥⨓⫖↰⪸10A4)","cot":[{"info":"⫖↰⪸854/⫖↰⪸100A=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1190⨳⩥⨓⫖↰⪸10A4=⫖↰⪸-A8","layer":1},{"info":"⫖↰⪸0⨽⫖↰⪸-A8=⫖↰⪸B96","layer":0}]}
+{"id":977,"expression_no_base_symbol":"$5274$∀⇚≩$1518$⋓$2619$↬$5171$","expression":"⫖↰⪸3076∀⇚≩⫖↰⪸A66⋓⫖↰⪸1623↬⫖↰⪸2BAB","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":36932,"operation_count":3,"complexity_ratio":12310.666666666666,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5274,"base":12},"right_expr":{"type":"numeric_atoms","value":1518,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2619,"base":12},"right_expr":{"type":"numeric_atoms","value":5171,"base":12}}},"used_operators":["T2fj7uvVaJ","LRNGc0VcxI","B5M0gjZbta"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","X99M06cbEe","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5274","layer":2},{"info":"number node, value=1518","layer":2},{"info":"compute binary expreesion, left_input=5274, right_input=1518, 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=2619","layer":2},{"info":"number node, value=5171","layer":2},{"info":"compute binary expreesion, left_input=2619, right_input=5171, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":12,"result_base":12,"text":"⫖↰⪸3076∀⇚≩⫖↰⪸A66⋓⫖↰⪸1623↬⫖↰⪸2BAB=NaN","reverse_text":"NaN=⫖↰⪸3076∀⇚≩⫖↰⪸A66⋓⫖↰⪸1623↬⫖↰⪸2BAB","cot":[{"info":"⫖↰⪸3076∀⇚≩⫖↰⪸A66=NaN","layer":1},{"info":"⫖↰⪸1623↬⫖↰⪸2BAB=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
+{"id":978,"expression_no_base_symbol":"⨈⫕($1676$⩨$6410$)","expression":"⨈⫕(⫖↰⪸B78⩨⫖↰⪸3862)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":392,"operation_count":2,"complexity_ratio":196.0,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1676,"base":12},"right_expr":{"type":"numeric_atoms","value":6410,"base":12}}},"used_operators":["megm06wKyl","2DlMacCsIx"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1676","layer":2},{"info":"number node, value=6410","layer":2},{"info":"compute binary expreesion, left_input=1676, right_input=6410, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":1},{"info":"compute unary expreesion, input=-9, 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":12,"result_base":12,"text":"⨈⫕(⫖↰⪸B78⩨⫖↰⪸3862)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=⨈⫕(⫖↰⪸B78⩨⫖↰⪸3862)","cot":[{"info":"⫖↰⪸B78⩨⫖↰⪸3862=⫖↰⪸-9","layer":1},{"info":"⨈⫕⫖↰⪸-9=⫖↰⪸-19","layer":0}]}
+{"id":979,"expression_no_base_symbol":"$1156$⇷$2844$⊉≛↸$1218$⨰$1764$","expression":"⫖↰⪸804⇷⫖↰⪸1790⊉≛↸⫖↰⪸856⨰⫖↰⪸1030","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16198,"operation_count":3,"complexity_ratio":5399.333333333333,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1156,"base":12},"right_expr":{"type":"numeric_atoms","value":2844,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1218,"base":12},"right_expr":{"type":"numeric_atoms","value":1764,"base":12}}},"used_operators":["DZ8iAZOCBD","mp7IySMOzn","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸6700","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1156","layer":2},{"info":"number node, value=2844","layer":2},{"info":"compute binary expreesion, left_input=1156, right_input=2844, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5688","layer":1},{"info":"number node, value=1218","layer":2},{"info":"number node, value=1764","layer":2},{"info":"compute binary expreesion, left_input=1218, right_input=1764, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-536","layer":1},{"info":"compute binary expreesion, left_input=5688, right_input=-536, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11376","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸804⇷⫖↰⪸1790⊉≛↸⫖↰⪸856⨰⫖↰⪸1030=⫖↰⪸6700","reverse_text":"⫖↰⪸6700=⫖↰⪸804⇷⫖↰⪸1790⊉≛↸⫖↰⪸856⨰⫖↰⪸1030","cot":[{"info":"⫖↰⪸804⇷⫖↰⪸1790=⫖↰⪸3360","layer":1},{"info":"⫖↰⪸856⨰⫖↰⪸1030=⫖↰⪸-388","layer":1},{"info":"⫖↰⪸3360⊉≛↸⫖↰⪸-388=⫖↰⪸6700","layer":0}]}
+{"id":980,"expression_no_base_symbol":"(∂$2824$)⨓(⪝⪂⫅$1318$)","expression":"(∂⫖↰⪸1774)⨓(⪝⪂⫅⫖↰⪸91A)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":193903,"operation_count":3,"complexity_ratio":64634.333333333336,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2824,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1318,"base":12}}},"used_operators":["3ViojmjbAp","Uaa54Peajs","XTarYq4gQB"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫖↰⪸94153","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2824","layer":2},{"info":"compute unary expreesion, input=2824, 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=1318","layer":2},{"info":"compute unary expreesion, input=1318, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-193746","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-193746, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=193743","layer":0}],"base":12,"result_base":12,"text":"(∂⫖↰⪸1774)⨓(⪝⪂⫅⫖↰⪸91A)=⫖↰⪸94153","reverse_text":"⫖↰⪸94153=(∂⫖↰⪸1774)⨓(⪝⪂⫅⫖↰⪸91A)","cot":[{"info":"∂⫖↰⪸1774=NaN","layer":1},{"info":"⪝⪂⫅⫖↰⪸91A=⫖↰⪸-94156","layer":1},{"info":"NaN⨓⫖↰⪸-94156=⫖↰⪸94153","layer":0}]}
+{"id":981,"expression_no_base_symbol":"($1378$≣⋋)⨰($1250$≋⫹)","expression":"(⫖↰⪸96A≣⋋)⨰(⫖↰⪸882≋⫹)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":523,"operation_count":3,"complexity_ratio":174.33333333333334,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1378,"base":12}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1250,"base":12}}},"used_operators":["eewbuw0ToL","Tcnh7f0tEr","N41Kp7NANJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸1552","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1378","layer":2},{"info":"compute unary expreesion, input=1378, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"number node, value=1250","layer":2},{"info":"compute unary expreesion, input=1250, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2500","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-2500, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2510","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸96A≣⋋)⨰(⫖↰⪸882≋⫹)=⫖↰⪸1552","reverse_text":"⫖↰⪸1552=(⫖↰⪸96A≣⋋)⨰(⫖↰⪸882≋⫹)","cot":[{"info":"⫖↰⪸96A≣⋋=⫖↰⪸0","layer":1},{"info":"⫖↰⪸882≋⫹=⫖↰⪸-1544","layer":1},{"info":"⫖↰⪸0⨰⫖↰⪸-1544=⫖↰⪸1552","layer":0}]}
+{"id":982,"expression_no_base_symbol":"+⊝⨔($6005$⨵⪆$7974$)","expression":"+⊝⨔(⫖↰⪸3585⨵⪆⫖↰⪸4746)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6005,"base":12},"right_expr":{"type":"numeric_atoms","value":7974,"base":12}}},"used_operators":["DhbWaqg5eL","2DQ55sFlQl"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6005","layer":2},{"info":"number node, value=7974","layer":2},{"info":"compute binary expreesion, left_input=6005, right_input=7974, 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 = 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":12,"result_base":12,"text":"+⊝⨔(⫖↰⪸3585⨵⪆⫖↰⪸4746)=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔(⫖↰⪸3585⨵⪆⫖↰⪸4746)","cot":[{"info":"⫖↰⪸3585⨵⪆⫖↰⪸4746=⫖↰⪸114","layer":1},{"info":"+⊝⨔⫖↰⪸114=⫖↰⪸A6A","layer":0}]}
+{"id":983,"expression_no_base_symbol":"($2814$∲⫓$3726$)⪐","expression":"(⫖↰⪸1766∲⫓⫖↰⪸21A6)⪐","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2814,"base":12},"right_expr":{"type":"numeric_atoms","value":3726,"base":12}}},"used_operators":["eH2TOUuTDT","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2814","layer":2},{"info":"number node, value=3726","layer":2},{"info":"compute binary expreesion, left_input=2814, right_input=3726, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1766∲⫓⫖↰⪸21A6)⪐=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸1766∲⫓⫖↰⪸21A6)⪐","cot":[{"info":"⫖↰⪸1766∲⫓⫖↰⪸21A6=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⪐=⫖↰⪸0","layer":0}]}
+{"id":984,"expression_no_base_symbol":"⨞⊢$5533$⪛$2213$","expression":"⨞⊢⫖↰⪸3251⪛⫖↰⪸1345","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5533,"base":12},"right_expr":{"type":"numeric_atoms","value":2213,"base":12}}},"used_operators":["xUOZtlo3hN","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫖↰⪸-8A9","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5533","layer":2},{"info":"number node, value=2213","layer":2},{"info":"compute binary expreesion, left_input=5533, right_input=2213, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1107","layer":1},{"info":"compute unary expreesion, input=1107, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1281","layer":0}],"base":12,"result_base":12,"text":"⨞⊢⫖↰⪸3251⪛⫖↰⪸1345=⫖↰⪸-8A9","reverse_text":"⫖↰⪸-8A9=⨞⊢⫖↰⪸3251⪛⫖↰⪸1345","cot":[{"info":"⫖↰⪸3251⪛⫖↰⪸1345=⫖↰⪸783","layer":1},{"info":"⨞⊢⫖↰⪸783=⫖↰⪸-8A9","layer":0}]}
+{"id":985,"expression_no_base_symbol":"(≉$1557$)↙($2916$+$2373$)","expression":"(≉⫖↰⪸A99)↙(⫖↰⪸1830+⫖↰⪸1459)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5295,"operation_count":3,"complexity_ratio":1765.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1557,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2916,"base":12},"right_expr":{"type":"numeric_atoms","value":2373,"base":12}}},"used_operators":["yyfyN0ffXY","e1ybzncUwg","W4YGzv6Whe"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-9223","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1557","layer":2},{"info":"compute unary expreesion, input=1557, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2088","layer":1},{"info":"number node, value=2916","layer":2},{"info":"number node, value=2373","layer":2},{"info":"compute binary expreesion, left_input=2916, right_input=2373, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5289","layer":1},{"info":"compute binary expreesion, left_input=2088, right_input=5289, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15867","layer":0}],"base":12,"result_base":12,"text":"(≉⫖↰⪸A99)↙(⫖↰⪸1830+⫖↰⪸1459)=⫖↰⪸-9223","reverse_text":"⫖↰⪸-9223=(≉⫖↰⪸A99)↙(⫖↰⪸1830+⫖↰⪸1459)","cot":[{"info":"≉⫖↰⪸A99=⫖↰⪸1260","layer":1},{"info":"⫖↰⪸1830+⫖↰���1459=⫖↰⪸3089","layer":1},{"info":"⫖↰⪸1260↙⫖↰⪸3089=⫖↰⪸-9223","layer":0}]}
+{"id":986,"expression_no_base_symbol":"($3741$⪘⫢$1006$)∀⇚≩($1195$⪄$1980$)","expression":"(⫖↰⪸21B9⪘⫢⫖↰⪸6BA)∀⇚≩(⫖↰⪸837⪄⫖↰⪸1190)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":51616,"operation_count":3,"complexity_ratio":17205.333333333332,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3741,"base":12},"right_expr":{"type":"numeric_atoms","value":1006,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1195,"base":12},"right_expr":{"type":"numeric_atoms","value":1980,"base":12}}},"used_operators":["LRNGc0VcxI","oacrs7FA3X","SUmda5xLS4"],"dependent_operators":["X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3741","layer":2},{"info":"number node, value=1006","layer":2},{"info":"compute binary expreesion, left_input=3741, right_input=1006, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7358","layer":1},{"info":"number node, value=1195","layer":2},{"info":"number node, value=1980","layer":2},{"info":"compute binary expreesion, left_input=1195, right_input=1980, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-180869","layer":1},{"info":"compute binary expreesion, left_input=7358, right_input=-180869, 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":12,"result_base":12,"text":"(⫖↰⪸21B9⪘⫢⫖↰⪸6BA)∀⇚≩(⫖↰⪸837⪄⫖↰⪸1190)=NaN","reverse_text":"NaN=(⫖↰⪸21B9⪘⫢⫖↰⪸6BA)∀⇚≩(⫖↰⪸837⪄⫖↰⪸1190)","cot":[{"info":"⫖↰⪸21B9⪘⫢⫖↰⪸6BA=⫖↰⪸4312","layer":1},{"info":"⫖↰⪸837⪄⫖↰⪸1190=⫖↰⪸-88805","layer":1},{"info":"⫖↰⪸4312∀⇚≩⫖↰⪸-88805=NaN","layer":0}]}
+{"id":987,"expression_no_base_symbol":"($1051$⨐⩸⫘$2422$)⋓$1950$⪮%⊝$1628$","expression":"(⫖↰⪸737⨐⩸⫘⫖↰⪸149A)⋓⫖↰⪸1166⪮%⊝⫖↰⪸B38","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1051,"base":12},"right_expr":{"type":"numeric_atoms","value":2422,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1950,"base":12},"right_expr":{"type":"numeric_atoms","value":1628,"base":12}}},"used_operators":["T2fj7uvVaJ","fu6greOZ01","IWmyXbctLI"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1051","layer":2},{"info":"number node, value=2422","layer":2},{"info":"compute binary expreesion, left_input=1051, right_input=2422, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1950","layer":2},{"info":"number node, value=1628","layer":2},{"info":"compute binary expreesion, left_input=1950, right_input=1628, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4216","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4216, 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":12,"result_base":12,"text":"(⫖↰⪸737⨐⩸⫘⫖↰⪸149A)⋓⫖↰⪸1166⪮%⊝⫖↰⪸B38=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸737⨐⩸⫘⫖↰⪸149A)⋓⫖↰⪸1166⪮%⊝⫖↰⪸B38","cot":[{"info":"⫖↰⪸737⨐⩸⫘⫖↰⪸149A=NaN","layer":1},{"info":"⫖↰⪸1166⪮%⊝⫖↰⪸B38=⫖↰⪸2534","layer":1},{"info":"NaN⋓⫖↰⪸2534=⫖↰⪸0","layer":0}]}
+{"id":988,"expression_no_base_symbol":"($6952$⨸⪁$2327$)⇷(∥⊫$1312$)","expression":"(⫖↰⪸4034⨸⪁⫖↰⪸141B)⇷(∥⊫⫖↰⪸914)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":259825,"operation_count":3,"complexity_ratio":86608.33333333333,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6952,"base":12},"right_expr":{"type":"numeric_atoms","value":2327,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1312,"base":12}}},"used_operators":["mp7IySMOzn","g55IO6H4Gj","P8v4zCKN1o"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸2634","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6952","layer":2},{"info":"number node, value=2327","layer":2},{"info":"compute binary expreesion, left_input=6952, right_input=2327, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18558","layer":1},{"info":"number node, value=1312","layer":2},{"info":"compute unary expreesion, input=1312, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2180","layer":1},{"info":"compute binary expreesion, left_input=18558, right_input=2180, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4360","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸4034⨸⪁⫖↰⪸141B)⇷(∥⊫⫖↰⪸914)=⫖↰⪸2634","reverse_text":"⫖↰⪸2634=(⫖↰⪸4034⨸⪁⫖↰⪸141B)⇷(∥⊫⫖↰⪸914)","cot":[{"info":"⫖↰⪸4034⨸⪁⫖↰⪸141B=⫖↰⪸A8A6","layer":1},{"info":"∥⊫⫖↰⪸914=⫖↰⪸1318","layer":1},{"info":"⫖↰⪸A8A6⇷⫖↰⪸1318=⫖↰⪸2634","layer":0}]}
+{"id":989,"expression_no_base_symbol":"(↩$5953$)∀⇚≩$7008$⪢$1729$","expression":"(↩⫖↰⪸3541)∀⇚≩⫖↰⪸4080⪢⫖↰⪸1001","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":316168,"operation_count":3,"complexity_ratio":105389.33333333333,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5953,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7008,"base":12},"right_expr":{"type":"numeric_atoms","value":1729,"base":12}}},"used_operators":["LRNGc0VcxI","jLgFTUHLKL","dWAJyo7jo9"],"dependent_operators":["X99M06cbEe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5953","layer":2},{"info":"compute unary expreesion, input=5953, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-44844","layer":1},{"info":"number node, value=7008","layer":2},{"info":"number node, value=1729","layer":2},{"info":"compute binary expreesion, left_input=7008, right_input=1729, 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=-44844, 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":12,"result_base":12,"text":"(↩⫖↰⪸3541)∀⇚≩⫖↰⪸4080⪢⫖↰⪸1001=NaN","reverse_text":"NaN=(↩⫖↰⪸3541)∀⇚≩⫖↰⪸4080⪢⫖↰⪸1001","cot":[{"info":"↩⫖↰⪸3541=⫖↰⪸-21B50","layer":1},{"info":"⫖↰⪸4080⪢⫖↰⪸1001=NaN","layer":1},{"info":"⫖↰⪸-21B50∀⇚≩NaN=NaN","layer":0}]}
+{"id":990,"expression_no_base_symbol":"($1984$⋳⪒$1293$)⪘⫢($1726$⋝⋈⪟$3998$)","expression":"(⫖↰⪸1194⋳⪒⫖↰⪸8B9)⪘⫢(⫖↰⪸BBA⋝⋈⪟⫖↰⪸2392)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1984,"base":12},"right_expr":{"type":"numeric_atoms","value":1293,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1726,"base":12},"right_expr":{"type":"numeric_atoms","value":3998,"base":12}}},"used_operators":["oacrs7FA3X","12rbrZMWeM","2DDjHMKMc0"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸2838","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1984","layer":2},{"info":"number node, value=1293","layer":2},{"info":"compute binary expreesion, left_input=1984, right_input=1293, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2388","layer":1},{"info":"number node, value=1726","layer":2},{"info":"number node, value=3998","layer":2},{"info":"compute binary expreesion, left_input=1726, right_input=3998, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1726","layer":1},{"info":"compute binary expreesion, left_input=2388, right_input=1726, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4652","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1194⋳⪒⫖↰⪸8B9)⪘⫢(⫖↰⪸BBA⋝⋈⪟⫖↰⪸2392)=⫖↰⪸2838","reverse_text":"⫖↰⪸2838=(⫖↰⪸1194⋳⪒⫖↰⪸8B9)⪘⫢(⫖↰⪸BBA⋝⋈⪟⫖↰⪸2392)","cot":[{"info":"⫖↰⪸1194⋳⪒⫖↰⪸8B9=⫖↰⪸1470","layer":1},{"info":"⫖↰⪸BBA⋝⋈⪟⫖↰⪸2392=⫖↰⪸BBA","layer":1},{"info":"⫖↰⪸1470⪘⫢⫖↰⪸BBA=⫖↰⪸2838","layer":0}]}
+{"id":991,"expression_no_base_symbol":"↽≂$6666$⨟⋌⩍$5197$","expression":"↽≂⫖↰⪸3A36⨟⋌⩍⫖↰⪸3011","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6666,"base":12},"right_expr":{"type":"numeric_atoms","value":5197,"base":12}}},"used_operators":["u6S6b8DprG","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6666","layer":2},{"info":"number node, value=5197","layer":2},{"info":"compute binary expreesion, left_input=6666, right_input=5197, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↽≂⫖↰⪸3A36⨟⋌⩍⫖↰⪸3011=NaN","reverse_text":"NaN=↽≂⫖↰⪸3A36⨟⋌⩍⫖↰⪸3011","cot":[{"info":"⫖↰⪸3A36⨟⋌⩍⫖↰⪸3011=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
+{"id":992,"expression_no_base_symbol":"(≉$2378$)⊴($6334$⪄$7248$)","expression":"(≉⫖↰⪸1462)⊴(⫖↰⪸37BA⪄⫖↰⪸4240)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":962616,"operation_count":3,"complexity_ratio":320872.0,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2378,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6334,"base":12},"right_expr":{"type":"numeric_atoms","value":7248,"base":12}}},"used_operators":["Nsiff2A1zJ","e1ybzncUwg","SUmda5xLS4"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2378","layer":2},{"info":"compute unary expreesion, input=2378, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2909","layer":1},{"info":"number node, value=6334","layer":2},{"info":"number node, value=7248","layer":2},{"info":"compute binary expreesion, left_input=6334, right_input=7248, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-962513","layer":1},{"info":"compute binary expreesion, left_input=2909, right_input=-962513, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≉⫖↰⪸1462)⊴(⫖↰⪸37BA⪄⫖↰⪸4240)=NaN","reverse_text":"NaN=(≉⫖↰⪸1462)⊴(⫖↰⪸37BA⪄⫖↰⪸4240)","cot":[{"info":"≉⫖↰⪸1462=⫖↰⪸1825","layer":1},{"info":"⫖↰⪸37BA⪄⫖↰⪸4240=⫖↰⪸-3A5015","layer":1},{"info":"⫖↰⪸1825⊴⫖↰⪸-3A5015=NaN","layer":0}]}
+{"id":993,"expression_no_base_symbol":"$5270$⋓$7842$⩤","expression":"⫖↰⪸3072⋓⫖↰⪸4656⩤","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":2,"complexity_ratio":7.0,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5270,"base":12},"right_expr":{"type":"numeric_atoms","value":7842,"base":12}}},"used_operators":["Z2TMIBDE3Q","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5270","layer":2},{"info":"number node, value=7842","layer":2},{"info":"compute binary expreesion, left_input=5270, right_input=7842, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸3072⋓⫖↰⪸4656⩤=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫖↰⪸3072⋓⫖↰⪸4656⩤","cot":[{"info":"⫖↰⪸3072⋓⫖↰⪸4656=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⩤=⫖↰⪸0","layer":0}]}
+{"id":994,"expression_no_base_symbol":"⨑⩽⪐($1457$⨁⊸⫻)","expression":"⨑⩽⪐(⫖↰⪸A15⨁⊸⫻)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1457,"base":12}}},"used_operators":["AF7qkfDlqP","glklzrTFfD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸-828","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1457","layer":2},{"info":"compute unary expreesion, input=1457, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1457","layer":1},{"info":"compute unary expreesion, input=1457, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1184","layer":0}],"base":12,"result_base":12,"text":"⨑⩽⪐(⫖↰⪸A15⨁⊸⫻)=⫖↰⪸-828","reverse_text":"⫖↰⪸-828=⨑⩽⪐(⫖↰⪸A15⨁⊸⫻)","cot":[{"info":"⫖↰⪸A15⨁⊸⫻=⫖↰⪸A15","layer":1},{"info":"⨑⩽⪐⫖↰⪸A15=⫖↰⪸-828","layer":0}]}
+{"id":995,"expression_no_base_symbol":"$4651$⇼⇔∾$2284$⪒$1289$⩨$3330$","expression":"⫖↰⪸2837⇼⇔∾⫖↰⪸13A4⪒⫖↰⪸8B5⩨⫖↰⪸1B16","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4651,"base":12},"right_expr":{"type":"numeric_atoms","value":2284,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1289,"base":12},"right_expr":{"type":"numeric_atoms","value":3330,"base":12}}},"used_operators":["f6k1SAg4EE","tifHPKVTfV","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸1459","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4651","layer":2},{"info":"number node, value=2284","layer":2},{"info":"compute binary expreesion, left_input=4651, right_input=2284, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2367","layer":1},{"info":"number node, value=1289","layer":2},{"info":"number node, value=3330","layer":2},{"info":"compute binary expreesion, left_input=1289, right_input=3330, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":1},{"info":"compute binary expreesion, left_input=-2367, right_input=-6, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=2373","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2837⇼⇔∾⫖↰⪸13A4⪒⫖↰⪸8B5⩨⫖↰⪸1B16=⫖↰⪸1459","reverse_text":"⫖↰⪸1459=⫖↰⪸2837⇼⇔∾⫖↰⪸13A4⪒⫖↰⪸8B5⩨⫖↰⪸1B16","cot":[{"info":"⫖↰⪸2837⇼⇔∾⫖↰⪸13A4=⫖↰⪸-1453","layer":1},{"info":"⫖↰⪸8B5⩨⫖↰⪸1B16=⫖↰⪸-6","layer":1},{"info":"⫖↰⪸-1453⪒⫖↰⪸-6=⫖↰⪸1459","layer":0}]}
+{"id":996,"expression_no_base_symbol":"($3883$⫡⨏$4140$)+⇶⊼($1249$%$2541$)","expression":"(⫖↰⪸22B7⫡⨏⫖↰⪸2490)+⇶⊼(⫖↰⪸881%⫖↰⪸1579)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3883,"base":12},"right_expr":{"type":"numeric_atoms","value":4140,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1249,"base":12},"right_expr":{"type":"numeric_atoms","value":2541,"base":12}}},"used_operators":["TpPTUOHfaN","QMFrweE19q","k8jYdgA6NY"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3883","layer":2},{"info":"number node, value=4140","layer":2},{"info":"compute binary expreesion, left_input=3883, right_input=4140, 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=28478","layer":1},{"info":"number node, value=1249","layer":2},{"info":"number node, value=2541","layer":2},{"info":"compute binary expreesion, left_input=1249, right_input=2541, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1249","layer":1},{"info":"compute binary expreesion, left_input=28478, right_input=1249, 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":12,"result_base":12,"text":"(⫖↰⪸22B7⫡⨏⫖↰⪸2490)+⇶⊼(⫖↰⪸881%⫖↰⪸1579)=NaN","reverse_text":"NaN=(⫖↰⪸22B7⫡⨏⫖↰⪸2490)+⇶⊼(⫖↰⪸881%⫖↰⪸1579)","cot":[{"info":"⫖↰⪸22B7⫡⨏⫖↰⪸2490=⫖↰⪸14592","layer":1},{"info":"⫖↰⪸881%⫖↰⪸1579=⫖↰⪸881","layer":1},{"info":"⫖↰⪸14592+⇶⊼⫖↰⪸881=NaN","layer":0}]}
+{"id":997,"expression_no_base_symbol":"$4641$≎⊠⪸$7521$⨳⩥⨓($6373$⪠⩆⊳)","expression":"⫖↰⪸2829≎⊠⪸⫖↰⪸4429⨳⩥⨓(⫖↰⪸3831⪠⩆⊳)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":279,"operation_count":3,"complexity_ratio":93.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4641,"base":12},"right_expr":{"type":"numeric_atoms","value":7521,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":6373,"base":12}}},"used_operators":["nCS4ZIUYfx","bJkvcejdHO","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-49B40A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4641","layer":2},{"info":"number node, value=7521","layer":2},{"info":"compute binary expreesion, left_input=4641, right_input=7521, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1201546","layer":1},{"info":"number node, value=6373","layer":2},{"info":"compute unary expreesion, input=6373, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1201546, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1201546","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2829≎⊠⪸⫖↰⪸4429⨳⩥⨓(⫖↰⪸3831⪠⩆⊳)=⫖↰⪸-49B40A","reverse_text":"⫖↰⪸-49B40A=⫖↰⪸2829≎⊠⪸⫖↰⪸4429⨳⩥⨓(⫖↰⪸3831⪠⩆⊳)","cot":[{"info":"⫖↰⪸2829≎⊠⪸⫖↰⪸4429=⫖↰⪸49B40A","layer":1},{"info":"⫖↰⪸3831⪠⩆⊳=⫖↰⪸0","layer":1},{"info":"⫖↰⪸49B40A⨳⩥⨓⫖↰⪸0=⫖↰⪸-49B40A","layer":0}]}
+{"id":998,"expression_no_base_symbol":"($3113$⫥∨⫟$2569$)∀⇚≩($3733$≎⊠⪸$1428$)","expression":"(⫖↰⪸1975⫥∨⫟⫖↰⪸15A1)∀⇚≩(⫖↰⪸21B1≎⊠⪸⫖↰⪸9B0)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":425,"operation_count":3,"complexity_ratio":141.66666666666666,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3113,"base":12},"right_expr":{"type":"numeric_atoms","value":2569,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3733,"base":12},"right_expr":{"type":"numeric_atoms","value":1428,"base":12}}},"used_operators":["LRNGc0VcxI","KYD54nUTWz","bJkvcejdHO"],"dependent_operators":["X99M06cbEe","8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3113","layer":2},{"info":"number node, value=2569","layer":2},{"info":"compute binary expreesion, left_input=3113, right_input=2569, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3733","layer":2},{"info":"number node, value=1428","layer":2},{"info":"compute binary expreesion, left_input=3733, right_input=1428, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=966374","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=966374, 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":12,"result_base":12,"text":"(⫖↰⪸1975⫥∨⫟⫖↰⪸15A1)∀⇚≩(⫖↰⪸21B1≎⊠⪸⫖↰⪸9B0)=NaN","reverse_text":"NaN=(⫖↰⪸1975⫥∨⫟⫖↰⪸15A1)∀⇚≩(⫖↰⪸21B1≎⊠⪸⫖↰⪸9B0)","cot":[{"info":"⫖↰⪸1975⫥∨⫟⫖↰⪸15A1=NaN","layer":1},{"info":"⫖↰⪸21B1≎⊠⪸⫖↰⪸9B0=⫖↰⪸3A72B2","layer":1},{"info":"NaN∀⇚≩⫖↰⪸3A72B2=NaN","layer":0}]}
+{"id":999,"expression_no_base_symbol":"$1513$⫥∨⫟$2555$⨐⩸⫘($1062$-$1879$)","expression":"⫖↰⪸A61⫥∨⫟⫖↰⪸158B⨐⩸⫘(⫖↰⪸746-⫖↰⪸1107)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":672546,"operation_count":3,"complexity_ratio":224182.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1513,"base":12},"right_expr":{"type":"numeric_atoms","value":2555,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1062,"base":12},"right_expr":{"type":"numeric_atoms","value":1879,"base":12}}},"used_operators":["fu6greOZ01","KYD54nUTWz","rysDP5nf3Z"],"dependent_operators":["3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⫖↰⪸584","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1513","layer":2},{"info":"number node, value=2555","layer":2},{"info":"compute binary expreesion, left_input=1513, right_input=2555, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1062","layer":2},{"info":"number node, value=1879","layer":2},{"info":"compute binary expreesion, left_input=1062, right_input=1879, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-817","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-817, 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=820","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸A61⫥∨⫟⫖↰⪸158B⨐⩸⫘(⫖↰⪸746-⫖↰⪸1107)=⫖↰⪸584","reverse_text":"⫖↰⪸584=⫖↰⪸A61⫥∨⫟⫖↰⪸158B⨐⩸⫘(⫖↰⪸746-⫖↰⪸1107)","cot":[{"info":"⫖↰⪸A61⫥∨⫟⫖↰⪸158B=NaN","layer":1},{"info":"⫖↰⪸746-⫖↰⪸1107=⫖↰⪸-581","layer":1},{"info":"NaN⨐⩸⫘⫖↰⪸-581=⫖↰⪸584","layer":0}]}
+{"id":1000,"expression_no_base_symbol":"(≤/$3987$)⨪↰⇹($1491$⫌⩹⨱)","expression":"(≤/⫖↰⪸2383)⨪↰⇹(⫖↰⪸A43⫌⩹⨱)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3511,"operation_count":3,"complexity_ratio":1170.3333333333333,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3987,"base":12}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1491,"base":12}}},"used_operators":["tmPS8pqC7x","eLAdDNolq6","EBcxylXtPf"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸203B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3987","layer":2},{"info":"compute unary expreesion, input=3987, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3503","layer":1},{"info":"number node, value=1491","layer":2},{"info":"compute unary expreesion, input=1491, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4383","layer":1},{"info":"compute binary expreesion, left_input=-3503, right_input=4383, 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=3503","layer":0}],"base":12,"result_base":12,"text":"(≤/⫖↰⪸2383)⨪↰⇹(⫖↰⪸A43⫌⩹⨱)=⫖↰⪸203B","reverse_text":"⫖↰⪸203B=(≤/⫖↰⪸2383)⨪↰⇹(⫖↰⪸A43⫌⩹⨱)","cot":[{"info":"≤/⫖↰⪸2383=⫖↰⪸-203B","layer":1},{"info":"⫖↰⪸A43⫌⩹⨱=⫖↰⪸2653","layer":1},{"info":"⫖↰⪸-203B⨪↰⇹⫖↰⪸2653=⫖↰⪸203B","layer":0}]}